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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample1.3s (20%)

Memory

41.5MiB live, 2 370.7MiB allocated; 279ms collecting garbage

Samples

970.0ms	8 251×	0	valid
2.0ms	3×	3	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 717.0ms

ival-pow2: 159.0ms (22.2% of total)

ival-add: 139.0ms (19.4% of total)

ival-mult: 108.0ms (15.1% of total)

ival-fabs: 98.0ms (13.7% of total)

ival-div: 97.0ms (13.5% of total)

ival-sqrt: 51.0ms (7.1% of total)

ival-sub: 40.0ms (5.6% of total)

exact: 12.0ms (1.7% of total)

ival-true: 6.0ms (0.8% of total)

adjust: 3.0ms (0.4% of total)

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

Bogosity

explain224.0ms (3.3%)

Memory

8.7MiB live, 351.9MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
157	0	-	1	(-1.37082881394609e-231 4.030307963572101e-168 1.2535932656772436e-158)	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
0	0	-	0	-	`q`
0	0	-	0	-	`(-.f64 p r)`
0	0	-	0	-	`(pow.f64 q #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`
0	0	-	0	-	`(fabs.f64 p)`
0	0	-	0	-	`(+.f64 (fabs.f64 p) (fabs.f64 r))`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	0	-	0	-	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`p`
0	0	-	0	-	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`
0	0	-	0	-	`(fabs.f64 r)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`r`
0	1	(3.4552391936255364e-308 6.145684735230686e+237 -9.215888486884228e-163)	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	152	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	152
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	65
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	112
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	65
`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	68
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	16
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	67
`*.f64`	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	156	1
-	0	99

Precision

1.0

Recall

0.9936305732484076

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	156	0	1
-	0	0	99

Precision?

1.0

Recall?

0.9936305732484076

Freqs

test

number	freq
0	100
1	155
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

85.0ms

512×

valid

Compiler

Compiled 220 to 58 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 23.0ms (38.5% of total)

ival-pow2: 13.0ms (21.7% of total)

ival-add: 6.0ms (10% of total)

ival-mult: 6.0ms (10% of total)

ival-fabs: 4.0ms (6.7% of total)

ival-sub: 3.0ms (5% of total)

ival-sqrt: 3.0ms (5% of total)

exact: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess174.0ms (2.6%)

Memory

-23.7MiB live, 73.9MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs q)

(sort p r)

Compiler

Compiled 22 to 18 computations (18.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.6%	(.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

▶

43.6%

(*.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)

simplify35.0ms (0.5%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

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

localize61.0ms (0.9%)

Memory

-18.6MiB live, 28.5MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
accuracy	0.01171875	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	0.015625	(pow.f64 (-.f64 p r) #s(literal 2 binary64))
accuracy	36.21993520434105	(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

50.0ms

256×

valid

Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 19.0ms (48.6% of total)

ival-fabs: 7.0ms (17.9% of total)

ival-pow2: 4.0ms (10.2% of total)

ival-add: 3.0ms (7.7% of total)

ival-mult: 3.0ms (7.7% of total)

ival-sqrt: 2.0ms (5.1% of total)

ival-sub: 1.0ms (2.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

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)))

simplify215.0ms (3.2%)

Memory

-14.7MiB live, 77.7MiB allocated; 5ms collecting garbage

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)))))

rewrite232.0ms (3.4%)

Memory

-4.2MiB live, 138.7MiB allocated; 10ms collecting garbage

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)))

eval63.0ms (0.9%)

Memory: 34.6MiB live, 80.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 18 558 to 2 036 computations (89% saved)

prune26.0ms (0.4%)

Memory

-17.5MiB live, 33.3MiB allocated; 5ms collecting garbage

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

99.4%

Counts

395 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64)) q)))
	33.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
▶	40.8%	#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))
▶	59.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
	54.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 q r) (/.f64 q r) (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) r))
▶	32.0%	#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)))
	57.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
▶	9.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	8.2%	#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 662 to 500 computations (24.5% saved)

simplify188.0ms (2.8%)

Memory

-17.8MiB live, 121.6MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize137.0ms (2%)

Memory

29.8MiB live, 131.4MiB allocated; 10ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (fabs.f64 r)) (fabs.f64 p))
accuracy	0.01953125	(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))
accuracy	20.245278824064542	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
accuracy	30.23977599132934	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	0.0	(fabs.f64 p)
accuracy	0.00390625	(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)
accuracy	14.32741603307544	(fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q)
accuracy	35.99007566844876	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) r)
accuracy	58.08396126916818	#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	63.22372124085422	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
accuracy	0.0078125	(fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.0078125	(/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r)
accuracy	8.67982308524592	(*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)
accuracy	19.490749913549017	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))

Samples

107.0ms

256×

valid

Compiler

Compiled 292 to 42 computations (85.6% saved)

Precisions

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

ival-div: 35.0ms (39% of total)

ival-mult: 31.0ms (34.5% of total)

ival-add: 9.0ms (10% of total)

ival-pow2: 4.0ms (4.5% of total)

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

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

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.6%)

Memory

-4.6MiB live, 42.1MiB allocated; 6ms collecting garbage

Counts

19 → 152

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	p	@	0	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
5.0ms	p	@	-inf	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
3.0ms	r	@	-inf	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
3.0ms	p	@	inf	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
3.0ms	r	@	inf	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))

simplify167.0ms (2.5%)

Memory

8.9MiB live, 194.5MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

152 → 150

Calls

Call 1

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

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

rewrite159.0ms (2.4%)

Memory

-7.9MiB live, 229.6MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

19 → 295

Calls

Call 1

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

Outputs
(.f64 (.f64 r (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 r (-.f64 p p)) r))) #s(literal 1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) (.f64 #s(literal 1/2 binary64) r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/2 binary64)) r)
(*.f64 r (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) r) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) r) (fma.f64 (pow.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/4 binary64)))))
(/.f64 (.f64 r (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 1/2 binary64)))
(/.f64 (.f64 r (fma.f64 (pow.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/4 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) r (.f64 #s(literal 1/2 binary64) r))
(fma.f64 #s(literal 1/2 binary64) r (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) r))
(fma.f64 #s(literal 1/2 binary64) r (.f64 r (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r))))
(fma.f64 r (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) (.f64 #s(literal 1/2 binary64) r))
(fma.f64 r #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) r))
(fma.f64 r #s(literal 1/2 binary64) (.f64 r (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) r) (*.f64 #s(literal 1/2 binary64) r))
(+.f64 (.f64 r (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r))) (*.f64 #s(literal 1/2 binary64) r))
(+.f64 (.f64 #s(literal 1/2 binary64) r) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) r))
(+.f64 (.f64 #s(literal 1/2 binary64) r) (.f64 r (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/2 binary64)) r))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/4 binary64)))) (.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/4 binary64)))) #s(literal 1/8 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/4 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/4 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 r (-.f64 p p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/4 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r (-.f64 p p)) r)))
(/.f64 (fma.f64 (-.f64 r p) r (.f64 p r)) (.f64 r r))
(/.f64 (-.f64 (neg.f64 r) (neg.f64 (-.f64 p p))) (neg.f64 r))
(/.f64 (-.f64 (pow.f64 (/.f64 r r) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 p p) r) #s(literal 2 binary64))) (+.f64 (/.f64 r r) (/.f64 (-.f64 p p) r)))
(/.f64 (-.f64 (pow.f64 (/.f64 r r) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 p p) r) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 r r) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 p p) r) #s(literal 2 binary64)) (*.f64 (/.f64 r r) (/.f64 (-.f64 p p) r)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 r (-.f64 p p)))) (neg.f64 (neg.f64 r)))
(/.f64 (-.f64 (.f64 r r) (.f64 (-.f64 p p) r)) (*.f64 r r))
(/.f64 (-.f64 (.f64 r r) (pow.f64 (-.f64 p p) #s(literal 2 binary64))) (.f64 (-.f64 (+.f64 p r) p) r))
(/.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (-.f64 p p) #s(literal 3 binary64))) (.f64 (fma.f64 (-.f64 p p) (-.f64 (+.f64 p r) p) (.f64 r r)) r))
(/.f64 (neg.f64 (-.f64 r (-.f64 p p))) (neg.f64 r))
(/.f64 (-.f64 r (-.f64 p p)) r)
(neg.f64 (/.f64 (neg.f64 (-.f64 r (-.f64 p p))) r))
(neg.f64 (/.f64 (-.f64 r (-.f64 p p)) (neg.f64 r)))
(-.f64 (/.f64 r r) (/.f64 (-.f64 p p) r))
(+.f64 (/.f64 (-.f64 r p) r) (/.f64 p r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
(neg.f64 q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
(*.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)
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(fma.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)) r)
(fma.f64 (sqrt.f64 r) (sqrt.f64 r) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
(-.f64 (/.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) (-.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) r)) (/.f64 (.f64 r r) (-.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r)))
(+.f64 (/.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64)) (fma.f64 r (-.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 (pow.f64 r #s(literal 3 binary64)) (fma.f64 r (-.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 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) r)
(+.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.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))))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (neg.f64 (neg.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 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1 binary64)))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 q p) #s(literal 2 binary64))))) (.f64 (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))))) (pow.f64 p #s(literal 6 binary64)))) (.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))))) (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 (.f64 (.f64 q q) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 p #s(literal 8 binary64)))) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) #s(literal 6 binary64)) (pow.f64 p #s(literal 12 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 p #s(literal 8 binary64)) (.f64 (.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (pow.f64 p #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)))) (-.f64 (.f64 p p) (.f64 (.f64 q q) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 p #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (+.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 q p) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(/.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) (+.f64 (pow.f64 p #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 q p) #s(literal 2 binary64))))))
(fma.f64 (fabs.f64 (.f64 #s(literal 4 binary64) (neg.f64 q))) q (.f64 p p))
(fma.f64 (fabs.f64 (.f64 q #s(literal 4 binary64))) q (.f64 p p))
(fma.f64 (sqrt.f64 (pow.f64 p #s(literal 3 binary64))) (sqrt.f64 p) (.f64 (.f64 q q) #s(literal 4 binary64)))
(fma.f64 (exp.f64 (log.f64 p)) (exp.f64 (log.f64 p)) (.f64 (.f64 q q) #s(literal 4 binary64)))
(fma.f64 (.f64 #s(literal 4 binary64) (neg.f64 q)) (neg.f64 q) (.f64 p p))
(fma.f64 (sqrt.f64 p) (sqrt.f64 (pow.f64 p #s(literal 3 binary64))) (.f64 (.f64 q q) #s(literal 4 binary64)))
(fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 p p))
(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))
(fma.f64 (neg.f64 q) (.f64 (neg.f64 q) #s(literal 4 binary64)) (.f64 p p))
(fma.f64 q (fabs.f64 (.f64 (neg.f64 q) #s(literal 4 binary64))) (.f64 p p))
(fma.f64 q (fabs.f64 (.f64 q #s(literal 4 binary64))) (.f64 p p))
(fma.f64 q (.f64 q #s(literal 4 binary64)) (.f64 p p))
(fma.f64 #s(literal 4 binary64) (.f64 q q) (.f64 p p))
(fma.f64 p p (.f64 (.f64 q q) #s(literal 4 binary64)))
(sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))))
(-.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (*.f64 p p))
(-.f64 (.f64 p p) (.f64 (neg.f64 (*.f64 q q)) #s(literal 4 binary64)))
(-.f64 (.f64 p p) (.f64 (neg.f64 q) (*.f64 q #s(literal 4 binary64))))
(-.f64 (.f64 p p) (.f64 #s(literal -4 binary64) (*.f64 q q)))
(fabs.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
(hypot.f64 (neg.f64 (neg.f64 (.f64 (.f64 q q) #s(literal 4 binary64)))) (*.f64 p p))
(hypot.f64 (neg.f64 (.f64 (.f64 q q) #s(literal 4 binary64))) (*.f64 p p))
(hypot.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (*.f64 p p))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))
(+.f64 (/.f64 (.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 q p) #s(literal 2 binary64)))))) (/.f64 (pow.f64 p #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 q #s(literal 4 binary64)) (-.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 q p) #s(literal 2 binary64)))))))
(+.f64 (.f64 (.f64 q q) #s(literal 4 binary64)) (*.f64 p p))
(+.f64 (.f64 p p) (.f64 (*.f64 q q) #s(literal 4 binary64)))

eval72.0ms (1.1%)

Memory: 3.7MiB live, 151.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 24 433 to 2 490 computations (89.8% saved)

prune23.0ms (0.3%)

Memory

10.3MiB live, 56.7MiB allocated; 3ms collecting garbage

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	460	12	472
Fresh	4	1	5
Picked	3	2	5
Done	0	0	0
Total	467	15	482

Accuracy

99.6%

Counts

482 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r))
	32.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64)))
	9.1%	#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 (fabs.f64 r) p)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	38.6%	#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 (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)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	41.8%	#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)))
	59.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p) (/.f64 #s(literal 1/2 binary64) r)) p)) r))
✓	9.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	8.2%	#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))
	43.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
	14.6%	#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)))))
	38.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q)))
▶	59.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (fma.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r (*.f64 #s(literal -1/2 binary64) p))))
▶	38.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) #s(literal 1/2 binary64))))
▶	69.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p)))))

Compiler

Compiled 1 301 to 897 computations (31.1% saved)

simplify160.0ms (2.4%)

Memory

-25.8MiB live, 308.6MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	489
0	77	477
1	156	477
2	357	477
3	1047	477
4	2863	449
5	7830	449
0	8444	441

Stop Event

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

Calls

Call 1

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

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

localize106.0ms (1.6%)

Memory

23.6MiB live, 405.2MiB allocated; 26ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))
accuracy	2.0507791858302062	(fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64)))
accuracy	6.986116340098616	(*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r)
accuracy	24.46984261433254	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r))
accuracy	0.0078125	(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.01171875	(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)
accuracy	8.62904183524592	(fma.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r (*.f64 #s(literal -1/2 binary64) p))
accuracy	19.490749913549017	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (fma.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r (*.f64 #s(literal -1/2 binary64) p))))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	19.490749913549017	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) #s(literal 1/2 binary64))))
accuracy	27.767014950528136	#s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	58.74765397068986	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	0.0	#s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p))))
accuracy	19.490749913549017	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p)))))

Samples

75.0ms

256×

valid

Compiler

Compiled 359 to 45 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 16.0ms (30.1% of total)

ival-add: 13.0ms (24.4% of total)

ival-pow2: 8.0ms (15% of total)

ival-div: 6.0ms (11.3% of total)

ival-sub: 5.0ms (9.4% of total)

ival-fabs: 2.0ms (3.8% of total)

ival-sqrt: 2.0ms (3.8% of total)

exact: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

series58.0ms (0.9%)

Memory

-48.2MiB live, 109.6MiB allocated; 35ms collecting garbage

Counts

22 → 108

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	r	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* 1/2 (+ (+ r (fabs p)) (- (fabs r) p))) (+ (+ r (fabs p)) (- (fabs r) p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (- (fabs r) (- p (fabs p))) 1/2) (- (fabs r) (- p (fabs p))) (+ (* (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) r) (* -1/2 p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (- (fabs r) (- p (fabs p))) r) (fabs p) (fabs r) (/ (+ (fabs r) (fabs p)) r) (+ (* (/ q r) (/ q r)) 1/2))
7.0ms	p	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* 1/2 (+ (+ r (fabs p)) (- (fabs r) p))) (+ (+ r (fabs p)) (- (fabs r) p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (- (fabs r) (- p (fabs p))) 1/2) (- (fabs r) (- p (fabs p))) (+ (* (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) r) (* -1/2 p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (- (fabs r) (- p (fabs p))) r) (fabs p) (fabs r) (/ (+ (fabs r) (fabs p)) r) (+ (* (/ q r) (/ q r)) 1/2))
6.0ms	p	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* 1/2 (+ (+ r (fabs p)) (- (fabs r) p))) (+ (+ r (fabs p)) (- (fabs r) p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (- (fabs r) (- p (fabs p))) 1/2) (- (fabs r) (- p (fabs p))) (+ (* (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) r) (* -1/2 p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (- (fabs r) (- p (fabs p))) r) (fabs p) (fabs r) (/ (+ (fabs r) (fabs p)) r) (+ (* (/ q r) (/ q r)) 1/2))
3.0ms	r	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* 1/2 (+ (+ r (fabs p)) (- (fabs r) p))) (+ (+ r (fabs p)) (- (fabs r) p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (- (fabs r) (- p (fabs p))) 1/2) (- (fabs r) (- p (fabs p))) (+ (* (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) r) (* -1/2 p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (- (fabs r) (- p (fabs p))) r) (fabs p) (fabs r) (/ (+ (fabs r) (fabs p)) r) (+ (* (/ q r) (/ q r)) 1/2))
3.0ms	p	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* 1/2 (+ (+ r (fabs p)) (- (fabs r) p))) (+ (+ r (fabs p)) (- (fabs r) p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (- (fabs r) (- p (fabs p))) 1/2) (- (fabs r) (- p (fabs p))) (+ (* (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) r) (* -1/2 p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (- (fabs r) (- p (fabs p))) r) (fabs p) (fabs r) (/ (+ (fabs r) (fabs p)) r) (+ (* (/ q r) (/ q r)) 1/2))

simplify1.3s (19.5%)

Memory

-183.9MiB live, 266.7MiB allocated; 1.7s collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	416	2074
1	1409	1962
2	5578	1925
0	8298	1827

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

Calls

Call 1

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

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

rewrite145.0ms (2.1%)

Memory

-78.1MiB live, 46.1MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	427
0	77	423
1	339	423
2	2917	365
0	9052	354

Stop Event

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

Counts

22 → 346

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (+.f64 p r) r) p) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (+.f64 p r) r) p) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (+.f64 (+.f64 p r) r) p) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (+.f64 p r) r) p))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (+.f64 p r) (-.f64 r p))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (-.f64 r p) #s(literal 3 binary64)) (pow.f64 (+.f64 p r) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (-.f64 r p) (-.f64 (-.f64 r p) (+.f64 p r)) (pow.f64 (+.f64 p r) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (neg.f64 (-.f64 (+.f64 p r) (-.f64 r p))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (-.f64 r p) #s(literal 3 binary64)) (pow.f64 (+.f64 p r) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 r p) (-.f64 (-.f64 r p) (+.f64 p r)) (pow.f64 (+.f64 p r) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (+.f64 p r) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 r p) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (+.f64 p r) #s(literal 1/2 binary64)) (.f64 (-.f64 r p) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 p r) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 r p) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 p r) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 r p) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 p r) #s(literal 1/2 binary64)) (.f64 (-.f64 r p) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 (+.f64 p r) (-.f64 r p)))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 r p) #s(literal 3 binary64)) (pow.f64 (+.f64 p r) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (-.f64 r p) (-.f64 (-.f64 r p) (+.f64 p r)) (pow.f64 (+.f64 p r) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (-.f64 (+.f64 p r) (-.f64 r p)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (-.f64 r p) #s(literal 3 binary64)) (pow.f64 (+.f64 p r) #s(literal 3 binary64)))) (fma.f64 (-.f64 r p) (-.f64 (-.f64 r p) (+.f64 p r)) (pow.f64 (+.f64 p r) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 p r) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 r p) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (+.f64 p r) #s(literal 1/2 binary64)) (.f64 (-.f64 r p) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 p r) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 r p) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (+.f64 p r) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 r p) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 p r) #s(literal 1/2 binary64)) (.f64 (-.f64 r p) #s(literal 1/2 binary64))))))
(fma.f64 (-.f64 r p) #s(literal 1/2 binary64) (*.f64 (+.f64 p r) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 p r) #s(literal 1/2 binary64) (*.f64 (-.f64 r p) #s(literal 1/2 binary64)))
(fma.f64 r #s(literal 1/2 binary64) (*.f64 (-.f64 (+.f64 p r) p) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 r p) (*.f64 (+.f64 p r) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 p r) (*.f64 (-.f64 r p) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) r (*.f64 (-.f64 (+.f64 p r) p) #s(literal 1/2 binary64)))
(-.f64 (.f64 (+.f64 p r) #s(literal 1/2 binary64)) (.f64 (neg.f64 (-.f64 r p)) #s(literal 1/2 binary64)))
(-.f64 (.f64 (+.f64 p r) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (-.f64 r p)))
(+.f64 (.f64 #s(literal 1/2 binary64) r) (.f64 (-.f64 (+.f64 p r) p) #s(literal 1/2 binary64)))
(+.f64 (.f64 r #s(literal 1/2 binary64)) (.f64 (-.f64 (+.f64 p r) p) #s(literal 1/2 binary64)))
(+.f64 (.f64 (+.f64 p r) #s(literal 1/2 binary64)) (.f64 (-.f64 r p) #s(literal 1/2 binary64)))
(+.f64 (.f64 (-.f64 r p) #s(literal 1/2 binary64)) (.f64 (+.f64 p r) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (+.f64 p r) r) #s(literal 2 binary64)) (*.f64 p p))) (neg.f64 (+.f64 (+.f64 (+.f64 p r) r) p)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 (+.f64 p r) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 r p) (+.f64 p r))))
(/.f64 (neg.f64 (-.f64 (*.f64 r r) (pow.f64 (-.f64 (+.f64 p r) p) #s(literal 2 binary64)))) (neg.f64 (-.f64 r (-.f64 (+.f64 p r) p))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (+.f64 p r) r) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (neg.f64 (+.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 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 p r) p) #s(literal 3 binary64)))) (neg.f64 (fma.f64 r r (-.f64 (pow.f64 (-.f64 (+.f64 p r) p) #s(literal 2 binary64)) (*.f64 r (-.f64 (+.f64 p r) p))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 p r) (-.f64 r p)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 r p) #s(literal 3 binary64)) (pow.f64 (+.f64 p r) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 r p) (-.f64 (-.f64 r p) (+.f64 p r)) (pow.f64 (+.f64 p r) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (-.f64 r p) (+.f64 p r)) (-.f64 r p) (.f64 (+.f64 p r) (.f64 (-.f64 r p) (+.f64 p r))))) (neg.f64 (.f64 (-.f64 r p) (+.f64 p r))))
(/.f64 (neg.f64 (fma.f64 (.f64 (-.f64 r p) (+.f64 p r)) (fma.f64 p (-.f64 p r) (.f64 r r)) (.f64 (+.f64 p r) (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))))) (neg.f64 (.f64 (+.f64 p r) (fma.f64 p (-.f64 p r) (*.f64 r r)))))
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (-.f64 r p) (.f64 (fma.f64 p (+.f64 p r) (.f64 r r)) (*.f64 (-.f64 r p) (+.f64 p r))))) (neg.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (fma.f64 p (-.f64 p r) (.f64 r r)) (.f64 (fma.f64 p (+.f64 p r) (.f64 r r)) (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))))) (neg.f64 (.f64 (fma.f64 p (+.f64 p r) (.f64 r r)) (fma.f64 p (-.f64 p r) (.f64 r r)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (-.f64 r p) (+.f64 p r)) (+.f64 p r) (.f64 (-.f64 r p) (.f64 (-.f64 r p) (+.f64 p r))))) (neg.f64 (.f64 (-.f64 r p) (+.f64 p r))))
(/.f64 (neg.f64 (fma.f64 (.f64 (-.f64 r p) (+.f64 p r)) (fma.f64 p (+.f64 p r) (.f64 r r)) (.f64 (-.f64 r p) (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))))) (neg.f64 (.f64 (-.f64 r p) (fma.f64 p (+.f64 p r) (*.f64 r r)))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (+.f64 p r) (.f64 (fma.f64 p (-.f64 p r) (.f64 r r)) (*.f64 (-.f64 r p) (+.f64 p r))))) (neg.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 p (+.f64 p r) (.f64 r r)) (.f64 (fma.f64 p (-.f64 p r) (.f64 r r)) (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))))) (neg.f64 (.f64 (fma.f64 p (-.f64 p r) (.f64 r r)) (fma.f64 p (+.f64 p r) (.f64 r r)))))
(/.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 p r) #s(literal 2 binary64)) (pow.f64 (+.f64 p r) #s(literal 2 binary64))) (-.f64 (-.f64 r p) (+.f64 p r)))
(/.f64 (-.f64 (*.f64 r r) (pow.f64 (-.f64 (+.f64 p r) p) #s(literal 2 binary64))) (-.f64 r (-.f64 (+.f64 p 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 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 p r) p) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (pow.f64 (-.f64 (+.f64 p r) p) #s(literal 2 binary64)) (*.f64 r (-.f64 (+.f64 p r) p)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 p r) (-.f64 r p))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 r p) #s(literal 3 binary64)) (pow.f64 (+.f64 p r) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 p r) #s(literal 2 binary64)) (*.f64 (-.f64 r p) (+.f64 p r))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 r p) #s(literal 3 binary64)) (pow.f64 (+.f64 p r) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 r p) (-.f64 (-.f64 r p) (+.f64 p r)) (pow.f64 (+.f64 p r) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (-.f64 r p) (+.f64 p r)) (-.f64 r p) (.f64 (+.f64 p r) (.f64 (-.f64 r p) (+.f64 p r)))) (.f64 (-.f64 r p) (+.f64 p r)))
(/.f64 (fma.f64 (.f64 (-.f64 r p) (+.f64 p r)) (fma.f64 p (-.f64 p r) (.f64 r r)) (.f64 (+.f64 p r) (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (.f64 (+.f64 p r) (fma.f64 p (-.f64 p r) (*.f64 r r))))
(/.f64 (fma.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (-.f64 r p) (.f64 (fma.f64 p (+.f64 p r) (.f64 r r)) (*.f64 (-.f64 r p) (+.f64 p r)))) (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))
(/.f64 (fma.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (fma.f64 p (-.f64 p r) (.f64 r r)) (.f64 (fma.f64 p (+.f64 p r) (.f64 r r)) (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))) (.f64 (fma.f64 p (+.f64 p r) (.f64 r r)) (fma.f64 p (-.f64 p r) (.f64 r r))))
(/.f64 (fma.f64 (.f64 (-.f64 r p) (+.f64 p r)) (+.f64 p r) (.f64 (-.f64 r p) (.f64 (-.f64 r p) (+.f64 p r)))) (.f64 (-.f64 r p) (+.f64 p r)))
(/.f64 (fma.f64 (.f64 (-.f64 r p) (+.f64 p r)) (fma.f64 p (+.f64 p r) (.f64 r r)) (.f64 (-.f64 r p) (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))) (.f64 (-.f64 r p) (fma.f64 p (+.f64 p r) (*.f64 r r))))
(/.f64 (fma.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (+.f64 p r) (.f64 (fma.f64 p (-.f64 p r) (.f64 r r)) (*.f64 (-.f64 r p) (+.f64 p r)))) (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))))
(/.f64 (fma.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 p (+.f64 p r) (.f64 r r)) (.f64 (fma.f64 p (-.f64 p r) (.f64 r r)) (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))) (.f64 (fma.f64 p (-.f64 p r) (.f64 r r)) (fma.f64 p (+.f64 p r) (.f64 r r))))
(/.f64 (-.f64 (pow.f64 (+.f64 p r) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (-.f64 (+.f64 p r) (-.f64 r p)))
(/.f64 (+.f64 (pow.f64 (-.f64 r p) #s(literal 3 binary64)) (pow.f64 (+.f64 p r) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 p r) #s(literal 2 binary64)) (*.f64 (-.f64 r p) (+.f64 p r)))))
(/.f64 (+.f64 (pow.f64 (-.f64 r p) #s(literal 3 binary64)) (pow.f64 (+.f64 p r) #s(literal 3 binary64))) (fma.f64 (-.f64 r p) (-.f64 (-.f64 r p) (+.f64 p r)) (pow.f64 (+.f64 p r) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 r)) (neg.f64 (sqrt.f64 r)) (-.f64 (+.f64 p r) p))
(fma.f64 (neg.f64 (sqrt.f64 p)) (neg.f64 (sqrt.f64 p)) (+.f64 r (-.f64 r p)))
(fma.f64 (fabs.f64 (sqrt.f64 p)) (fabs.f64 (sqrt.f64 p)) (+.f64 r (-.f64 r p)))
(fma.f64 (fabs.f64 (sqrt.f64 r)) (fabs.f64 (sqrt.f64 r)) (-.f64 (+.f64 p r) p))
(fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 r (-.f64 r p)))
(fma.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)) (-.f64 (+.f64 p r) p))
(fma.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (-.f64 (+.f64 p r) p))
(fma.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (+.f64 r (-.f64 r p)))
(fma.f64 (sqrt.f64 r) (sqrt.f64 r) (-.f64 (+.f64 p r) p))
(fma.f64 (sqrt.f64 p) (sqrt.f64 p) (+.f64 r (-.f64 r p)))
(-.f64 (/.f64 (pow.f64 (+.f64 p r) #s(literal 2 binary64)) (-.f64 (+.f64 p r) (-.f64 r p))) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 (+.f64 p r) (-.f64 r p))))
(-.f64 (+.f64 (+.f64 p r) r) p)
(-.f64 r (-.f64 p (+.f64 p r)))
(+.f64 (+.f64 (-.f64 r p) r) p)
(+.f64 (/.f64 (pow.f64 (+.f64 p r) #s(literal 3 binary64)) (fma.f64 (-.f64 r p) (-.f64 (-.f64 r p) (+.f64 p r)) (pow.f64 (+.f64 p r) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 r p) #s(literal 3 binary64)) (fma.f64 (-.f64 r p) (-.f64 (-.f64 r p) (+.f64 p r)) (pow.f64 (+.f64 p r) #s(literal 2 binary64)))))
(+.f64 (-.f64 (+.f64 p r) p) r)
(+.f64 (-.f64 r p) (+.f64 p r))
(+.f64 (+.f64 p r) (-.f64 r p))
(+.f64 p (+.f64 r (-.f64 r p)))
(+.f64 r (-.f64 (+.f64 p 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)
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p
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r
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(fma.f64 (/.f64 q (neg.f64 r)) (/.f64 q (neg.f64 r)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))
(fma.f64 q (fabs.f64 (/.f64 (/.f64 q r) r)) #s(literal 1/2 binary64))
(fma.f64 q (fabs.f64 (/.f64 q (*.f64 r r))) #s(literal 1/2 binary64))
(fma.f64 q (/.f64 (/.f64 q r) r) #s(literal 1/2 binary64))
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(-.f64 (/.f64 (pow.f64 (/.f64 q r) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 q (neg.f64 r)) (/.f64 q r)))
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(+.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 1/2 binary64))
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eval83.0ms (1.2%)

Memory: 5.7MiB live, 55.3MiB allocated; 13ms collecting garbage
Compiler: Compiled 33 469 to 2 893 computations (91.4% saved)

prune31.0ms (0.5%)

Memory

-13.2MiB live, 35.2MiB allocated; 2ms collecting garbage

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	580	10	590
Fresh	3	5	8
Picked	3	2	5
Done	0	2	2
Total	586	19	605

Accuracy

99.6%

Counts

605 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 p r) p) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r))
	40.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
	32.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64)))
	38.6%	#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 (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)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	54.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 q) (/.f64 q p) (.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) p))))
✓	9.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	8.2%	#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))
▶	43.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
	14.6%	#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)))))
	38.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q)))
▶	54.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (fma.f64 (+.f64 (/.f64 (fma.f64 q (/.f64 q r) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) r) #s(literal 1/2 binary64)) r (.f64 #s(literal -1/2 binary64) p))))
▶	14.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (fma.f64 #s(approx (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) #s(literal 1/2 binary64)) r (*.f64 #s(literal -1/2 binary64) p))))
	38.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (-.f64 r (-.f64 p (fabs.f64 p))) #s(literal 1/2 binary64))))
	39.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (-.f64 r (-.f64 p (+.f64 p r))))))
	39.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 r p) r) p))))
✓	69.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p)))))
▶	69.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 r p)))))
▶	44.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ r (fabs p)) (- (fabs r) p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))))

Compiler

Compiled 1 621 to 1 098 computations (32.3% saved)

simplify131.0ms (1.9%)

Memory

-4.8MiB live, 40.6MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	662
0	100	662
1	217	658
2	533	658
3	1511	658
4	4173	633
0	8332	607

Stop Event

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

Calls

Call 1

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

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

localize113.0ms (1.7%)

Memory

9.4MiB live, 55.6MiB allocated; 2ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(fma.f64 q (/.f64 q r) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))
accuracy	1.200417108347338	(/.f64 (fma.f64 q (/.f64 q r) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) r)
accuracy	6.966585090098616	(fma.f64 (+.f64 (/.f64 (fma.f64 q (/.f64 q r) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) r) #s(literal 1/2 binary64)) r (.f64 #s(literal -1/2 binary64) p))
accuracy	24.46984261433254	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (fma.f64 (+.f64 (/.f64 (fma.f64 q (/.f64 q r) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) r) #s(literal 1/2 binary64)) r (.f64 #s(literal -1/2 binary64) p))))
accuracy	0.0	(fabs.f64 p)
accuracy	0.0	#s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ r (fabs p)) (- (fabs r) p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))
accuracy	19.490749913549017	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ r (fabs p)) (- (fabs r) p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))))
accuracy	25.7545386931427	#s(approx (+ (+ r (fabs p)) (- (fabs r) p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))
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	35.99007566844876	#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	#s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (fma.f64 #s(approx (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) #s(literal 1/2 binary64)) r (*.f64 #s(literal -1/2 binary64) p)))
accuracy	8.62904183524592	(fma.f64 #s(approx (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) #s(literal 1/2 binary64)) r (*.f64 #s(literal -1/2 binary64) p))
accuracy	19.490749913549017	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (fma.f64 #s(approx (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) #s(literal 1/2 binary64)) r (*.f64 #s(literal -1/2 binary64) p))))
accuracy	56.82915524145824	#s(approx (+ (* (/ (+ (fabs r) (fabs p)) r) 1/2) 1/2) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 r p)))
accuracy	0.0	(fabs.f64 p)
accuracy	0.30476231847250757	#s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 r p))))
accuracy	19.490749913549017	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 r p)))))

Samples

85.0ms

256×

valid

Compiler

Compiled 413 to 61 computations (85.2% saved)

Precisions

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

ival-mult: 22.0ms (34.4% of total)

ival-add: 19.0ms (29.7% of total)

ival-div: 9.0ms (14.1% of total)

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

ival-pow2: 4.0ms (6.2% of total)

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

ival-sqrt: 2.0ms (3.1% 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)

series28.0ms (0.4%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

24 → 122

Calls

Call 1

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

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

Calls

9 calls:

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

simplify155.0ms (2.3%)

Memory

-5.4MiB live, 46.5MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	457	2291
1	1551	2158
2	6054	2142
0	8436	2021

Stop Event

1×	iter limit
1×	node limit

Counts

122 → 120

Calls

Call 1

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

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

rewrite149.0ms (2.2%)

Memory

6.3MiB live, 51.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	594
0	100	590
1	493	590
2	4392	590
0	8475	571

Stop Event

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

Counts

24 → 250

Calls

Call 1

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

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

eval57.0ms (0.8%)

Memory: 0.0MiB live, 45.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 30 938 to 2 539 computations (91.8% saved)

prune31.0ms (0.5%)

Memory

-13.6MiB live, 33.3MiB allocated; 1ms collecting garbage

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	460	6	466
Fresh	3	7	10
Picked	4	1	5
Done	1	3	4
Total	468	17	485

Accuracy

99.6%

Counts

485 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 p r) p) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r))
	40.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
	32.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64)))
	38.6%	#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 (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)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	54.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 q) (/.f64 q p) (.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) p))))
✓	9.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	8.2%	#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))
✓	43.8%	#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)))
	38.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q)))
	54.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (fma.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) #s(literal 1/2 binary64)) r (*.f64 #s(literal -1/2 binary64) p))))
	54.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) #s(approx (+ (* (+ (/ (+ (* q (/ q r)) (* 1/2 (+ (fabs r) (fabs p)))) r) 1/2) r) (* -1/2 p)) (fma.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal 1/2 binary64)) r (fma.f64 q (/.f64 q r) (*.f64 #s(literal -1/2 binary64) p))))))
	39.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 r p) r) p))))
	32.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ r (fabs p)) (- r p)) (-.f64 (fabs.f64 p) p)))))
	39.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ r (fabs p)) (- r p)) (.f64 #s(literal 2 binary64) r)))))
	69.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r p))) (fma.f64 (-.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) r))))
	44.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r p))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r))))

Compiler

Compiled 2 658 to 817 computations (69.3% saved)

regimes111.0ms (1.6%)

Memory

-17.0MiB live, 34.4MiB allocated; 30ms collecting garbage

Counts

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

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

Calls

7 calls:

55.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
10.0ms	p
10.0ms	q
9.0ms	r
9.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Results

Accuracy	Segments	Branch
85.9%	2	`(pow.f64 q #s(literal 2 binary64))`
85.9%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
78.9%	2	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
78.9%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
73.0%	3	`p`
75.8%	3	`r`
85.9%	2	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes17.0ms (0.2%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
85.9%	2	`(pow.f64 q #s(literal 2 binary64))`
85.9%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
85.9%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes14.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
85.7%	2	`(pow.f64 q #s(literal 2 binary64))`
85.7%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
85.7%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes22.0ms (0.3%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
69.4%	1	`p`
69.4%	1	`r`
69.4%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
69.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
69.4%	1	`(pow.f64 q #s(literal 2 binary64))`
69.4%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
69.4%	1	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes19.0ms (0.3%)

Memory

-38.7MiB live, 12.9MiB allocated; 3ms collecting garbage

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

Outputs

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

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

Calls

7 calls:

5.0ms	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
2.0ms	p
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)))))))

Results

Accuracy	Segments	Branch
61.0%	2	`r`
60.7%	2	`p`
44.9%	1	`(pow.f64 q #s(literal 2 binary64))`
44.9%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
44.9%	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))))))`
44.9%	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)))))))`
44.9%	1	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes5.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Calls

2 calls:

2.0ms	p
2.0ms	r

Results

Accuracy	Segments	Branch
44.9%	1	`p`
44.9%	1	`r`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes11.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

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:

2.0ms	r
2.0ms	p
2.0ms	q
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
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
9.2%	1	`(pow.f64 q #s(literal 2 binary64))`
9.2%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
13.2%	2	`r`
9.2%	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))))))`
9.2%	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)))))))`
9.2%	1	`q`
13.2%	2	`p`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes9.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

7 calls:

1.0ms	r
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	q
1.0ms	p
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
8.2%	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))))))`
8.2%	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)))))))`
8.2%	1	`(pow.f64 q #s(literal 2 binary64))`
8.2%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
8.2%	1	`q`
8.2%	1	`p`
8.2%	1	`r`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes7.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
1.2%	1	`r`
1.2%	1	`p`
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	`(+.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`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch16.0ms (0.2%)

Memory

-41.2MiB live, 6.3MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.0950084063703606e+120	2.572686270219383e+121

Samples

9.0ms

96×

valid

Compiler

Compiled 625 to 450 computations (28% saved)

Precisions

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

ival-pow2: 2.0ms (29.7% of total)

ival-div: 1.0ms (14.8% of total)

ival-add: 1.0ms (14.8% of total)

ival-mult: 1.0ms (14.8% of total)

ival-fabs: 1.0ms (14.8% of total)

ival-sqrt: 1.0ms (14.8% of total)

adjust: 0.0ms (0% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.0950084063703606e+120	2.572686270219383e+121

Compiler

Compiled 595 to 426 computations (28.4% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.0950084063703606e+120	2.572686270219383e+121

Compiler

Compiled 637 to 438 computations (31.2% saved)

bsearch17.0ms (0.3%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.7622280099593965e-29	3.068423249166537e-27

Samples

10.0ms

112×

valid

Compiler

Compiled 788 to 528 computations (33% saved)

Precisions

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

ival-pow2: 2.0ms (26.6% of total)

ival-div: 1.0ms (13.3% of total)

ival-add: 1.0ms (13.3% of total)

ival-mult: 1.0ms (13.3% of total)

ival-fabs: 1.0ms (13.3% of total)

ival-sub: 1.0ms (13.3% of total)

ival-sqrt: 1.0ms (13.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7622280099593965e-29	3.068423249166537e-27

Compiler

Compiled 389 to 332 computations (14.7% saved)

simplify49.0ms (0.7%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	88	613
1	171	613
2	389	613
3	999	613
4	2211	591
5	5052	577

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 q #s(literal 22999999999999998680017790993789810324324683698348593119627040234002344134835045915594078470208023088102892312867639394304 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.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))))
(if (<=.f64 q #s(literal 22999999999999998680017790993789810324324683698348593119627040234002344134835045915594078470208023088102892312867639394304 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))))
(if (<=.f64 q #s(literal 22999999999999998680017790993789810324324683698348593119627040234002344134835045915594078470208023088102892312867639394304 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r p))) (fma.f64 (-.f64 (fabs.f64 p) 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 (fabs.f64 r) (fabs.f64 p)) q))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r p))) (fma.f64 (-.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) r))))
(if (<=.f64 r #s(literal 3902630409742859/2787593149816327892691964784081045188247552 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ r (fabs p)) (- r p)) (-.f64 (fabs.f64 p) p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r 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 (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r p))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r))))
(if (<=.f64 r #s(literal 3902630409742859/2787593149816327892691964784081045188247552 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 22999999999999998680017790993789810324324683698348593119627040234002344134835045915594078470208023088102892312867639394304 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.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))))
(if (<=.f64 q #s(literal 22999999999999998680017790993789810324324683698348593119627040234002344134835045915594078470208023088102892312867639394304 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))))
(if (<=.f64 q #s(literal 22999999999999998680017790993789810324324683698348593119627040234002344134835045915594078470208023088102892312867639394304 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r p))) (fma.f64 (-.f64 (fabs.f64 p) 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 (fabs.f64 r) (fabs.f64 p)) q))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r p))) (fma.f64 (-.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) r))))
(if (<=.f64 r #s(literal 3902630409742859/2787593149816327892691964784081045188247552 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ r (fabs p)) (- r p)) (-.f64 (fabs.f64 p) p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r 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 (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r p))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r))))
(if (<=.f64 r #s(literal 3902630409742859/2787593149816327892691964784081045188247552 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))

derivations591.0ms (8.8%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	427
0	77	423
1	339	423
2	2917	365
0	9052	354
0	620	3080
1	2230	2975
0	8509	2778
0	457	2291
1	1551	2158
2	6054	2142
0	8436	2021
0	576	3228
1	2113	3014
0	8685	2798

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

Compiler

Compiled 641 to 90 computations (86% saved)

preprocess106.0ms (1.6%)

Memory: -4.7MiB live, 42.1MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 742 to 420 computations (75.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (20%)

explain224.0ms (3.3%)

preprocess174.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify35.0ms (0.5%)

localize61.0ms (0.9%)

series17.0ms (0.3%)

simplify215.0ms (3.2%)

rewrite232.0ms (3.4%)

eval63.0ms (0.9%)

prune26.0ms (0.4%)

simplify188.0ms (2.8%)

localize137.0ms (2%)

series42.0ms (0.6%)

simplify167.0ms (2.5%)

rewrite159.0ms (2.4%)

eval72.0ms (1.1%)

prune23.0ms (0.3%)

simplify160.0ms (2.4%)

localize106.0ms (1.6%)

series58.0ms (0.9%)

simplify1.3s (19.5%)

rewrite145.0ms (2.1%)

eval83.0ms (1.2%)

prune31.0ms (0.5%)

simplify131.0ms (1.9%)

localize113.0ms (1.7%)

series28.0ms (0.4%)

simplify155.0ms (2.3%)

rewrite149.0ms (2.2%)

eval57.0ms (0.8%)

prune31.0ms (0.5%)

regimes111.0ms (1.6%)

regimes17.0ms (0.2%)

regimes14.0ms (0.2%)

regimes22.0ms (0.3%)

regimes19.0ms (0.3%)

regimes5.0ms (0.1%)

regimes11.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch17.0ms (0.3%)

bsearch1.0ms (0%)

simplify49.0ms (0.7%)

derivations591.0ms (8.8%)

preprocess106.0ms (1.6%)

end0.0ms (0%)

Profiling