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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample2.4s (26.6%)

Memory

51.0MiB live, 5 558.8MiB allocated

Samples

802.0ms	2 361×	2	valid
787.0ms	3 148×	1	valid
372.0ms	2 747×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

adjust: 369.0ms (23.3% of total)

ival-pow2: 318.0ms (20.1% of total)

ival-add: 249.0ms (15.8% of total)

ival-mult: 185.0ms (11.7% of total)

ival-sub: 155.0ms (9.8% of total)

ival-sqrt: 130.0ms (8.2% of total)

ival-fabs: 90.0ms (5.7% of total)

ival-div: 65.0ms (4.1% of total)

exact: 12.0ms (0.8% of total)

ival-true: 6.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain380.0ms (4.1%)

Memory

-42.4MiB live, 750.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	oflow-rescue	138	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	138
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	58
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	103
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	58
`-.f64`	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`	cancellation	126	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	uflow-rescue	4	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	4
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	65
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	15
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	65

Confusion

	Predicted +	Predicted -
+	196	0
-	0	60

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	196	0	0
-	0	0	60

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	60
1	124
2	72

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

134.0ms	182×	2	valid
46.0ms	182×	1	valid
21.0ms	148×	0	valid

Compiler

Compiled 220 to 58 computations (73.6% saved)

Precisions

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

adjust: 54.0ms (43.6% of total)

ival-pow2: 18.0ms (14.5% of total)

ival-sub: 13.0ms (10.5% of total)

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

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

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

ival-fabs: 4.0ms (3.2% of total)

ival-div: 3.0ms (2.4% of total)

exact: 1.0ms (0.8% of total)

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

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

preprocess204.0ms (2.2%)

Memory

12.2MiB live, 114.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	187
1	145	184
2	323	184
3	882	184
4	1431	184
5	1984	184
6	2215	184
7	2491	184
8	2798	184
9	3143	184
10	3638	184
11	4071	184
12	4550	184
13	4883	184
14	5265	184
15	5549	184
16	5788	184
17	6041	184
18	6598	184
19	7201	184
20	7872	184
0	18	20
0	31	20
1	50	20
2	86	20
3	205	20
4	376	20
5	494	20
6	547	20
7	595	20
8	621	20
9	665	20
10	732	20
11	849	20
12	920	20
13	980	20
14	1082	20
15	1188	20
16	1296	20
17	1375	20
18	1449	20
19	1557	20
20	1654	20
21	1755	20
22	1817	20
23	1849	20
24	1879	20
25	1899	20
26	1919	20
0	1919	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 r)) (fabs.f64 p)) #s(literal -1/2 binary64))

Symmetry

(abs q)

(sort p r)

Compiler

Compiled 22 to 18 computations (18.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.1%	(.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)))))))

Status

Accuracy

Program

▶

27.1%

(*.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)))))))

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify62.0ms (0.7%)

Memory

-12.1MiB live, 34.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	93
0	31	93
1	50	93
2	86	93
3	205	93
4	376	93
5	494	93
6	547	93
7	595	93
8	621	93
9	665	93
10	732	93
11	849	93
12	920	93
13	980	93
14	1082	93
15	1188	93
16	1296	93
17	1375	93
18	1449	93
19	1557	93
20	1654	93
21	1755	93
22	1817	93
23	1849	93
24	1879	93
25	1899	93
26	1919	93
0	1919	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 r)) (fabs.f64 p)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(+.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

localize83.0ms (0.9%)

Memory

-3.9MiB live, 139.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.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)))))))
accuracy	0.010097509768442016	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	29.343905487791076	(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
accuracy	33.07331445233888	(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

31.0ms	91×	2	valid
23.0ms	91×	1	valid
10.0ms	74×	0	valid

Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions

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

adjust: 12.0ms (27.1% of total)

ival-pow2: 10.0ms (22.6% of total)

ival-mult: 5.0ms (11.3% of total)

ival-add: 5.0ms (11.3% of total)

ival-sub: 4.0ms (9% of total)

ival-sqrt: 4.0ms (9% of total)

ival-div: 2.0ms (4.5% of total)

ival-fabs: 2.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

-11.2MiB live, 35.3MiB allocated

Counts

6 → 120

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	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)))) (* 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)))) (* 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)))) (* 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)))) (* 4 (pow q 2)))
2.0ms	r	@	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)))) (* 4 (pow q 2)))

simplify162.0ms (1.8%)

Memory

16.6MiB live, 250.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	598	3128
1	1967	2939
2	7546	2915
0	8220	2725

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 117

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

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

rewrite154.0ms (1.7%)

Memory

14.9MiB live, 347.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	67
0	31	67
1	114	67
2	780	63
0	8827	59

Stop Event

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

Counts

6 → 189

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

eval46.0ms (0.5%)

Memory: 20.3MiB live, 118.0MiB allocated
Compiler: Compiled 14 309 to 1 596 computations (88.8% saved)

prune24.0ms (0.3%)

Memory

-27.1MiB live, 66.5MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	285	20	305
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	286	20	306

Accuracy

63.3%

Counts

306 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.0%	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p)))
	5.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	11.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p)))))
	12.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (-.f64 p (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (.f64 (-.f64 p (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 p (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (.f64 r (-.f64 p (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))))
	21.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))))
	20.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (.f64 q q) r) (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64))) r)))
	14.3%	(.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 (fma.f64 (.f64 (.f64 q q) (/.f64 p (pow.f64 r #s(literal 3 binary64)))) #s(literal -2 binary64) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) p) r)))) r)))
	19.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
▶	15.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
	15.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
▶	19.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	20.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	15.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
▶	30.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q)) #s(literal 1 binary64)) q))
	18.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	31.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 1 696 to 1 062 computations (37.4% saved)

simplify199.0ms (2.2%)

Memory

17.2MiB live, 257.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	438
0	66	438
1	113	438
2	241	438
3	623	438
4	1221	438
5	2067	438
6	2993	438
7	3957	438
8	5337	436
0	8151	429

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

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

localize304.0ms (3.3%)

Memory

14.1MiB live, 474.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	21.24086204124576	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
accuracy	21.31135888674925	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
accuracy	27.40410107638326	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
accuracy	28.186332533893502	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
accuracy	0.00390625	(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))
accuracy	21.31135888674925	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
accuracy	28.186332533893502	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
accuracy	38.397597991404886	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
accuracy	0.0	(fabs.f64 p)
accuracy	0.18359375	(*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q))
accuracy	11.983336587006809	(.f64 (-.f64 (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q)) #s(literal 1 binary64)) q)
accuracy	44.412395777079716	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q)) #s(literal 1 binary64)) q))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	62.18018116157684	#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	(neg.f64 q)
accuracy	43.72733041332923	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Samples

170.0ms	91×	2	valid
60.0ms	91×	1	valid
21.0ms	74×	0	valid

Compiler

Compiled 393 to 42 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

adjust: 90.0ms (42.5% of total)

ival-div: 39.0ms (18.4% of total)

ival-mult: 39.0ms (18.4% of total)

ival-add: 11.0ms (5.2% of total)

ival-sqrt: 10.0ms (4.7% of total)

ival-sub: 9.0ms (4.3% of total)

ival-pow2: 8.0ms (3.8% of total)

ival-fabs: 4.0ms (1.9% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series47.0ms (0.5%)

Memory

10.9MiB live, 100.0MiB allocated

Counts

19 → 174

Calls

Call 1

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

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 (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* -1/2 p)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)
(* 1/2 (/ (+ (fabs p) (fabs r)) q))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(+ (fabs p) (fabs r))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(fabs p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))
(* p (- (+ (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (+ (/ (fabs p) p) (/ (fabs r) p))) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(* 1/2 p)
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 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 (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* (pow r 2) (+ (* -1/1024 (/ (pow r 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 r 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* (pow r 2) (+ (* -1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* -1/4 (/ r q)) (* 1/2 (/ p q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* 1/2 (/ p q)) (* r (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(/ 1/2 q)
(+ (* -1/16 (/ (pow r 2) (pow q 3))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* 3/256 (/ (pow r 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* (pow r 2) (+ (* -5/2048 (/ (pow r 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(* 2 q)
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q))
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(* 4 (pow q 2))
(+ (* 4 (pow q 2)) (pow r 2))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 4) (pow r 4)))) 1/2))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* 2 (/ (pow q 4) (pow r 4))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2))
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(/ 1 r)
(/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r)
r
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))
(pow r 2)
(* (pow r 2) (+ 1 (* 4 (/ (pow q 2) (pow r 2)))))
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r)))) r)) 1)))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p)))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* 2 (/ (pow q 2) r))))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)) 1)))
(/ -1 r)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r))
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* -1 q)
(* 1/2 (+ (fabs p) (fabs r)))
(+ (* -1 q) (* 1/2 (+ (fabs p) (fabs r))))
(/ (+ (* -1 q) (* 1/2 (+ (fabs p) (fabs r)))) q)
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(- (+ (fabs p) (fabs r)) r)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))) r)
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))) (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5)))))) (* 1/2 (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3))))))))))
(- (+ p (+ (fabs p) (fabs r))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow r 3))) (+ (* 6 (/ p (pow r 4))) (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5))))))))) (* 2 (/ 1 r))))))) r)
(+ (* -2 (/ (pow q 2) (pow r 3))) (/ 1 r))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow r 7))) (* 6 (/ 1 (pow r 5))))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(+ r (* 2 (/ (pow q 2) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
-1
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2))))) 1))
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q)
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* (pow q 2) (+ 4 (/ (pow r 2) (pow q 2))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow r 2)))) (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2)))) q)))) q)) 2)))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	p	@	inf	((* (/ 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 p) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) (* (+ (fabs r) (fabs p)) (/ 1/2 q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (fabs p) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)))
7.0ms	q	@	0	((* (/ 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 p) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) (* (+ (fabs r) (fabs p)) (/ 1/2 q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (fabs p) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)))
7.0ms	q	@	-inf	((* (/ 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 p) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) (* (+ (fabs r) (fabs p)) (/ 1/2 q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (fabs p) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)))
4.0ms	p	@	0	((* (/ 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 p) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) (* (+ (fabs r) (fabs p)) (/ 1/2 q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (fabs p) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)))
4.0ms	q	@	inf	((* (/ 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 p) (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) (* (+ (fabs r) (fabs p)) (/ 1/2 q)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (fabs r) (fabs p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (fabs p) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)))

simplify208.0ms (2.3%)

Memory

-13.9MiB live, 265.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	877	4202
1	2808	4117
0	8148	3896

Stop Event

1×	iter limit
1×	node limit

Counts

174 → 172

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 (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* -1/2 p)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)
(* 1/2 (/ (+ (fabs p) (fabs r)) q))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(+ (fabs p) (fabs r))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(fabs p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))
(* p (- (+ (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (+ (/ (fabs p) p) (/ (fabs r) p))) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(* 1/2 p)
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) 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 (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* (pow r 2) (+ (* -1/1024 (/ (pow r 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 r 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* (pow r 2) (+ (* -1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* -1/4 (/ r q)) (* 1/2 (/ p q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* 1/2 (/ p q)) (* r (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(/ 1/2 q)
(+ (* -1/16 (/ (pow r 2) (pow q 3))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* 3/256 (/ (pow r 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* (pow r 2) (+ (* -5/2048 (/ (pow r 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(* 2 q)
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q))
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(* 4 (pow q 2))
(+ (* 4 (pow q 2)) (pow r 2))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 4) (pow r 4)))) 1/2))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* 2 (/ (pow q 4) (pow r 4))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2))
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(/ 1 r)
(/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r)
r
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))
(pow r 2)
(* (pow r 2) (+ 1 (* 4 (/ (pow q 2) (pow r 2)))))
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r)))) r)) 1)))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p)))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* 2 (/ (pow q 2) r))))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)) 1)))
(/ -1 r)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r))
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* -1 q)
(* 1/2 (+ (fabs p) (fabs r)))
(+ (* -1 q) (* 1/2 (+ (fabs p) (fabs r))))
(/ (+ (* -1 q) (* 1/2 (+ (fabs p) (fabs r)))) q)
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(- (+ (fabs p) (fabs r)) r)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))) r)
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))) (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5)))))) (* 1/2 (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3))))))))))
(- (+ p (+ (fabs p) (fabs r))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow r 3))) (+ (* 6 (/ p (pow r 4))) (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5))))))))) (* 2 (/ 1 r))))))) r)
(+ (* -2 (/ (pow q 2) (pow r 3))) (/ 1 r))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow r 7))) (* 6 (/ 1 (pow r 5))))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(+ r (* 2 (/ (pow q 2) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
-1
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2))))) 1))
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q)
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* (pow q 2) (+ 4 (/ (pow r 2) (pow q 2))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow r 2)))) (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2)))) q)))) q)) 2)))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))

Outputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) p) (.f64 #s(literal 1/2 binary64) r))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 3 binary64)))) (.f64 (.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 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 r r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))) p (.f64 (.f64 #s(literal 1/2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))) p (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(* -1/2 p)
(*.f64 #s(literal -1/2 binary64) p)
(* 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)) q)
(- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1)
(-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (+ (fabs p) (fabs r)) q))
(*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
(+ (fabs p) (fabs r))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(fabs p)
(fabs.f64 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 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 (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 (neg.f64 q) q) (*.f64 p p)) #s(literal 1/2 binary64))) p)
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (.f64 q q) (/.f64 r (pow.f64 p #s(literal 3 binary64))) (.f64 (/.f64 q p) (/.f64 q p))) (.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) p)
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) p) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) r (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) p))) p)
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p))
(* p (- (+ (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (+ (/ (fabs p) p) (/ (fabs r) p))) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) r (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) p)) p)
(* 1/2 p)
(*.f64 #s(literal 1/2 binary64) p)
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(.f64 (neg.f64 p) (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) r)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(.f64 (neg.f64 p) (-.f64 (/.f64 (fma.f64 (+.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) (/.f64 (.f64 q q) p)) (neg.f64 p)) #s(literal 1/2 binary64)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(.f64 (neg.f64 p) (-.f64 (/.f64 (fma.f64 (+.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) (/.f64 (neg.f64 (fma.f64 q q (/.f64 (.f64 (*.f64 q q) r) p))) (neg.f64 p))) (neg.f64 p)) #s(literal 1/2 binary64)))
(* -1 (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(.f64 (neg.f64 p) (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) r (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) p))))
(* -1 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(.f64 (neg.f64 p) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) r (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) p))))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))
(+ (* 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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 #s(literal -1/4 binary64) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) r) (.f64 #s(literal 1/2 binary64) p))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal 3 binary64)))) (.f64 (.f64 r p) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 p p) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))))) r (.f64 (.f64 #s(literal 1/2 binary64) p) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 r r) q) #s(literal -1/8 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/128 binary64) (.f64 r r)) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) q)) (.f64 r r) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* (pow r 2) (+ (* -1/1024 (/ (pow r 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 r r) (pow.f64 q #s(literal 5 binary64))) #s(literal -1/1024 binary64) (/.f64 #s(literal 1/128 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 r r)) (/.f64 #s(literal 1/8 binary64) q)) (.f64 r r) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(- (+ (fabs p) (fabs r)) (* 2 q))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow r 2) q)))) (* 2 q))
(-.f64 (fma.f64 (/.f64 (.f64 r r) q) #s(literal -1/4 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 r r)) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) q)) (.f64 r r) (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* (pow r 2) (+ (* -1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(-.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (/.f64 (.f64 r r) (pow.f64 q #s(literal 5 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 q #s(literal 3 binary64)))) (.f64 r r)) (/.f64 #s(literal 1/4 binary64) q)) (.f64 r r) (+.f64 (fabs.f64 r) (fabs.f64 p))) (*.f64 q #s(literal 2 binary64)))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 r p) q) #s(literal 1/4 binary64)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))))
(fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) p (*.f64 #s(literal -1/8 binary64) r)) q) r))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 r p)) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) q)) r (.f64 (/.f64 p q) #s(literal 1/4 binary64))) r (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(-.f64 (fma.f64 (/.f64 (.f64 r p) q) #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* -1/4 (/ r q)) (* 1/2 (/ p q)))))) (* 2 q))
(-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) p (.f64 #s(literal -1/4 binary64) r)) q) r (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* 1/2 (/ p q)) (* r (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(-.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 r p)) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) q)) r (.f64 (/.f64 p q) #s(literal 1/2 binary64))) r (fabs.f64 r)) (fabs.f64 p)) (.f64 q #s(literal 2 binary64)))
(/ 1/2 q)
(/.f64 #s(literal 1/2 binary64) q)
(+ (* -1/16 (/ (pow r 2) (pow q 3))) (* 1/2 (/ 1 q)))
(fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 r r) (pow.f64 q #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) q))
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(.f64 (-.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (.f64 #s(literal -1/4 binary64) (.f64 r r))) q)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2)))) q)))) q)) 2)))
(.f64 (-.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) p) r (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) p) (pow.f64 r #s(literal 3 binary64)) (.f64 #s(literal 1/64 binary64) (pow.f64 r #s(literal 4 binary64)))) (.f64 q q))) (.f64 #s(literal 1/4 binary64) (*.f64 r r))) q)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(/ -1/2 q)
(/.f64 #s(literal -1/2 binary64) q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 r r) q) #s(literal 1/2 binary64)) (neg.f64 q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 r r) q) (/.f64 (neg.f64 (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 r r)) (.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (.f64 #s(literal 1/256 binary64) (pow.f64 r #s(literal 6 binary64)))) (pow.f64 q #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (.f64 r r) q) #s(literal 1/2 binary64))) (neg.f64 q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 r r) q) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(.f64 (fma.f64 (/.f64 (pow.f64 r #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 r r) q) #s(literal 2 binary64))) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 r #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (.f64 r r) q) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 r #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64)))) (neg.f64 q))

rewrite154.0ms (1.7%)

Memory

2.6MiB live, 281.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	339
0	66	339
1	253	335
2	1884	302
0	9429	297

Stop Event

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

Counts

19 → 306

Calls

Call 1

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

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

eval148.0ms (1.6%)

Memory: 4.1MiB live, 255.7MiB allocated
Compiler: Compiled 45 967 to 3 546 computations (92.3% saved)

prune38.0ms (0.4%)

Memory

4.5MiB live, 102.1MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	742	10	752
Fresh	8	7	15
Picked	3	2	5
Done	0	0	0
Total	753	19	772

Accuracy

87.4%

Counts

772 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	15.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	10.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (/.f64 (fma.f64 (.f64 (.f64 p r) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (+.f64 p r)) (.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (-.f64 (pow.f64 (+.f64 p r) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (+.f64 p r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64)))
	30.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (/.f64 (.f64 (+.f64 p r) #s(literal 1/2 binary64)) q) #s(literal 1 binary64)) q))
	20.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
▶	19.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	18.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (neg.f64 p) (-.f64 (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
▶	11.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) (+.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) r))) #s(literal 1/2 binary64)))
	30.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) p (.f64 #s(literal -1/4 binary64) r)) q) r (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
▶	48.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64)))
	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p))) #s(literal 1/2 binary64)))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
▶	5.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	31.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	22.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
	30.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))))
▶	42.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))))

Compiler

Compiled 1 863 to 1 185 computations (36.4% saved)

simplify134.0ms (1.5%)

Memory

-22.5MiB live, 167.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	658
0	90	658
1	165	658
2	408	658
3	1257	658
4	3076	658
5	4721	658
6	6545	658
0	8099	648

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

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

localize270.0ms (2.9%)

Memory

38.1MiB live, 507.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	6.670124558558393	(/.f64 p (*.f64 r r))
accuracy	10.707366188687214	(fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (*.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))
accuracy	20.35767285646467	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))))
accuracy	31.186873687571104	#s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
accuracy	0.00390625	(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))
accuracy	21.31135888674925	(-.f64 (+.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
accuracy	28.186332533893502	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
accuracy	38.32185681676113	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 r p) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
accuracy	0.0	(fabs.f64 p)
accuracy	23.095245052345756	#s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) r)))
accuracy	30.859695376770073	(+.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) r))
accuracy	38.397597991404886	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) (+.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) r))) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) r)
accuracy	60.496996041082966	#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	(fabs.f64 p)
accuracy	0.00390625	(.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))
accuracy	20.35767285646467	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64)))
accuracy	46.301733869249986	#s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))

Samples

106.0ms	106×	2	valid
101.0ms	117×	1	valid
11.0ms	33×	0	valid

Compiler

Compiled 470 to 53 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

adjust: 52.0ms (29.8% of total)

ival-mult: 37.0ms (21.2% of total)

ival-add: 24.0ms (13.8% of total)

ival-div: 23.0ms (13.2% of total)

ival-sub: 14.0ms (8% of total)

ival-sqrt: 12.0ms (6.9% of total)

ival-pow2: 9.0ms (5.2% of total)

ival-fabs: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

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

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

series33.0ms (0.4%)

Memory

8.7MiB live, 54.7MiB allocated

Counts

22 → 233

Calls

Call 1

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

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 (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (fabs r)) r)
(- (+ p (+ (fabs p) (fabs r))) r)
(* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 p) (* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ p r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
r
(+ p r)
(* 1/2 (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r))
(+ (* 1/2 (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)))
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(- (+ (fabs p) (+ (fabs r) (+ (* -2 (/ (pow q 2) r)) (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))))) r)
(fabs p)
(/ p (pow r 2))
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))
(* p (- (+ (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (+ (/ (fabs p) p) (/ (fabs r) p))) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
p
(* p (- (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ r p)))
(* 1/2 p)
(* p (+ 1/2 (* 1/2 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(* p (- (+ 1 (/ r p)) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ 1 (/ r p)))
(* 1/2 (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2))))))
(* p (+ (* 1/2 (+ 1 (* -2 (/ (pow q 2) (pow r 2))))) (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r) p))))
(* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))
(* p (- (+ 1 (+ (* -2 (/ (pow q 2) (* p r))) (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))) (/ r p)))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1)))
(* -1 (* p (- (* -1/2 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)) 1)))
(* -1 (* p (- (* -1 (/ r p)) 1)))
(* -1/2 (* p (- (* 2 (/ (pow q 2) (pow r 2))) 1)))
(* -1 (* p (+ (* -1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r) p)) (* 1/2 (- (* 2 (/ (pow q 2) (pow r 2))) 1)))))
(* -1 (* p (- (* 2 (/ (pow q 2) (pow r 2))) 1)))
(* -1 (* p (- (+ (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r) p)) (* 2 (/ (pow q 2) (pow r 2)))) 1)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* -1/4 (/ r q)) (* 1/2 (/ p q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* 1/2 (/ p q)) (* r (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(+ p (+ (fabs p) (fabs r)))
(+ p (+ (fabs p) (+ (fabs r) (* -1 r))))
(* -1/2 r)
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* (pow r 2) (+ (* -1/1024 (/ (pow r 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow r 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* (pow r 2) (+ (* -1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(+ (fabs p) (fabs r))
(+ (fabs p) (+ (fabs r) (* -1 r)))
(* 1/2 (- p (* 2 q)))
(+ (* 1/2 r) (* 1/2 (- p (* 2 q))))
(+ (* 1/2 (- p (* 2 q))) (* r (+ 1/2 (* -1/8 (/ r q)))))
(+ (* 1/2 (- p (* 2 q))) (* r (+ 1/2 (* r (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- p (* 2 q))
(- (+ p r) (* 2 q))
(- (+ p (* r (+ 1 (* -1/4 (/ r q))))) (* 2 q))
(- (+ p (* r (+ 1 (* r (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q))))))) (* 2 q))
(* -1 (/ (* p (pow q 2)) (pow r 2)))
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 2))
(* -2 (/ (* p (pow q 2)) (pow r 2)))
(/ (+ (* -2 (* p (pow q 2))) (* -2 (* (pow q 2) r))) (pow r 2))
(/ (+ (* -2 (* p (pow q 2))) (* r (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (fabs r))))))) (pow r 2))
(/ (+ (* -2 (* p (pow q 2))) (* r (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))))))) (pow r 2))
(* 2 q)
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q))
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(* 4 (pow q 2))
(+ (* 4 (pow q 2)) (pow r 2))
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2))
(* -1 r)
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 4) (pow r 4)))) 1/2))
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* 2 (/ (pow q 4) (pow r 4))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 p))
(+ (* -1 (/ (pow q 2) r)) (+ (* 1/2 p) (/ (pow q 4) (pow r 3))))
(+ (* -2 (/ (pow q 6) (pow r 5))) (+ (* -1 (/ (pow q 2) r)) (+ (* 1/2 p) (/ (pow q 4) (pow r 3)))))
(+ p (* -2 (/ (pow q 2) r)))
(- (+ p (* 2 (/ (pow q 4) (pow r 3)))) (* 2 (/ (pow q 2) r)))
(- (+ p (* -4 (/ (pow q 6) (pow r 5)))) (+ (* -2 (/ (pow q 4) (pow r 3))) (* 2 (/ (pow q 2) r))))
(* r (+ 1 (/ p r)))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))))) 1))
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))
(pow r 2)
(* (pow r 2) (+ 1 (* 4 (/ (pow q 2) (pow r 2)))))
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p)))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* 2 (/ (pow q 2) r))))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)) 1)))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r)))) r)) 1)))
(* -1 (* r (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) r)))))
(* -1 (* r (- (* -1/2 (/ p r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 p) (/ (pow q 2) r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 p)) r)) 1)))
(* 2 r)
(* -1 (* r (- (* -1 (/ p r)) 2)))
(* -1 (* r (- (* -1 (/ (+ p (* 2 (/ (pow q 2) r))) r)) 2)))
(* -1 (* r (- (* -1 (/ (+ p (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r))) r)) 2)))
(* -1 (* r (- (* -1 (/ p r)) 1)))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ 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 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))) (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5)))))) (* 1/2 (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3))))))))))
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow r 3))) (+ (* 6 (/ p (pow r 4))) (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5))))))))) (* 2 (/ 1 r))))))) r)
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))) r)
(+ (* 1/2 p) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 p) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(+ p (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ p (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(+ r (* 2 (/ (pow q 2) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(* -1 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2))))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (- (* 1/2 (/ (+ p r) q)) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ p r) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ p r) q)))) 1))
(* q (- (+ (/ p q) (/ r q)) 2))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ p q) (/ r q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ p q) (/ r q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* 1/2 (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))))
(* (pow q 2) (+ (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))) (* 1/2 (/ (- (+ p (+ (fabs p) (fabs r))) r) (pow q 2)))))
(* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))
(* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (+ (/ p (pow q 2)) (+ (/ (fabs p) (pow q 2)) (/ (fabs r) (pow q 2))))) (+ (* 2 (/ 1 r)) (/ r (pow q 2)))))
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* (pow q 2) (+ 4 (/ (pow r 2) (pow q 2))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow r 2)))) (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2)))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1/2 (/ (+ p r) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ p r))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ p r))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ p r) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ p (+ r (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ p (+ r (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	p	@	-inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (+ p (fabs p)) (- (fabs r) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (fabs r) (- (fabs p) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) (+ r p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (* 1/2 (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r)))) (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r))) (fabs p) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)) (/ p (* r r)))
5.0ms	p	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (+ p (fabs p)) (- (fabs r) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (fabs r) (- (fabs p) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) (+ r p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (* 1/2 (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r)))) (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r))) (fabs p) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)) (/ p (* r r)))
4.0ms	p	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (+ p (fabs p)) (- (fabs r) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (fabs r) (- (fabs p) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) (+ r p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (* 1/2 (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r)))) (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r))) (fabs p) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)) (/ p (* r r)))
2.0ms	r	@	0	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (+ p (fabs p)) (- (fabs r) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (fabs r) (- (fabs p) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) (+ r p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (* 1/2 (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r)))) (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r))) (fabs p) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)) (/ p (* r r)))
2.0ms	q	@	inf	((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+ (+ p (fabs p)) (- (fabs r) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (fabs r) (- (fabs p) r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) (+ r p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (* 1/2 (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r)))) (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r))) (fabs p) (sqrt (+ (* (* q q) 4) (* r r))) (+ (* (* q q) 4) (* r r)) (/ p (* r r)))

simplify170.0ms (1.8%)

Memory

22.4MiB live, 251.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1083	5289
1	3523	5161
0	8518	4895

Stop Event

1×	iter limit
1×	node limit

Counts

233 → 230

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 (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (fabs r)) r)
(- (+ p (+ (fabs p) (fabs r))) r)
(* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 p) (* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ p r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
r
(+ p r)
(* 1/2 (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r))
(+ (* 1/2 (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)))
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(- (+ (fabs p) (+ (fabs r) (+ (* -2 (/ (pow q 2) r)) (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))))) r)
(fabs p)
(/ p (pow r 2))
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))
(* p (- (+ (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (+ (/ (fabs p) p) (/ (fabs r) p))) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
p
(* p (- (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ r p)))
(* 1/2 p)
(* p (+ 1/2 (* 1/2 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(* p (- (+ 1 (/ r p)) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ 1 (/ r p)))
(* 1/2 (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2))))))
(* p (+ (* 1/2 (+ 1 (* -2 (/ (pow q 2) (pow r 2))))) (* 1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r) p))))
(* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))
(* p (- (+ 1 (+ (* -2 (/ (pow q 2) (* p r))) (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))) (/ r p)))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1)))
(* -1 (* p (- (* -1/2 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)) 1)))
(* -1 (* p (- (* -1 (/ r p)) 1)))
(* -1/2 (* p (- (* 2 (/ (pow q 2) (pow r 2))) 1)))
(* -1 (* p (+ (* -1/2 (/ (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r) p)) (* 1/2 (- (* 2 (/ (pow q 2) (pow r 2))) 1)))))
(* -1 (* p (- (* 2 (/ (pow q 2) (pow r 2))) 1)))
(* -1 (* p (- (+ (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r) p)) (* 2 (/ (pow q 2) (pow r 2)))) 1)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* -1/4 (/ r q)) (* 1/2 (/ p q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* 1/2 (/ p q)) (* r (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(+ p (+ (fabs p) (fabs r)))
(+ p (+ (fabs p) (+ (fabs r) (* -1 r))))
(* -1/2 r)
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* (pow r 2) (+ (* -1/1024 (/ (pow r 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow r 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* (pow r 2) (+ (* -1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(+ (fabs p) (fabs r))
(+ (fabs p) (+ (fabs r) (* -1 r)))
(* 1/2 (- p (* 2 q)))
(+ (* 1/2 r) (* 1/2 (- p (* 2 q))))
(+ (* 1/2 (- p (* 2 q))) (* r (+ 1/2 (* -1/8 (/ r q)))))
(+ (* 1/2 (- p (* 2 q))) (* r (+ 1/2 (* r (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- p (* 2 q))
(- (+ p r) (* 2 q))
(- (+ p (* r (+ 1 (* -1/4 (/ r q))))) (* 2 q))
(- (+ p (* r (+ 1 (* r (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q))))))) (* 2 q))
(* -1 (/ (* p (pow q 2)) (pow r 2)))
(/ (+ (* -1 (* p (pow q 2))) (* -1 (* (pow q 2) r))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))))) (pow r 2))
(/ (+ (* -1 (* p (pow q 2))) (* r (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))))) (pow r 2))
(* -2 (/ (* p (pow q 2)) (pow r 2)))
(/ (+ (* -2 (* p (pow q 2))) (* -2 (* (pow q 2) r))) (pow r 2))
(/ (+ (* -2 (* p (pow q 2))) (* r (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (fabs r))))))) (pow r 2))
(/ (+ (* -2 (* p (pow q 2))) (* r (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))))))) (pow r 2))
(* 2 q)
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q))
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(* 4 (pow q 2))
(+ (* 4 (pow q 2)) (pow r 2))
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2))
(* -1 r)
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 4) (pow r 4)))) 1/2))
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* 2 (/ (pow q 4) (pow r 4))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 p))
(+ (* -1 (/ (pow q 2) r)) (+ (* 1/2 p) (/ (pow q 4) (pow r 3))))
(+ (* -2 (/ (pow q 6) (pow r 5))) (+ (* -1 (/ (pow q 2) r)) (+ (* 1/2 p) (/ (pow q 4) (pow r 3)))))
(+ p (* -2 (/ (pow q 2) r)))
(- (+ p (* 2 (/ (pow q 4) (pow r 3)))) (* 2 (/ (pow q 2) r)))
(- (+ p (* -4 (/ (pow q 6) (pow r 5)))) (+ (* -2 (/ (pow q 4) (pow r 3))) (* 2 (/ (pow q 2) r))))
(* r (+ 1 (/ p r)))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))))) 1))
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))
(pow r 2)
(* (pow r 2) (+ 1 (* 4 (/ (pow q 2) (pow r 2)))))
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p)))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* 2 (/ (pow q 2) r))))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)) 1)))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r)))) r)) 1)))
(* -1 (* r (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) r)))))
(* -1 (* r (- (* -1/2 (/ p r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 p) (/ (pow q 2) r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 p)) r)) 1)))
(* 2 r)
(* -1 (* r (- (* -1 (/ p r)) 2)))
(* -1 (* r (- (* -1 (/ (+ p (* 2 (/ (pow q 2) r))) r)) 2)))
(* -1 (* r (- (* -1 (/ (+ p (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r))) r)) 2)))
(* -1 (* r (- (* -1 (/ p r)) 1)))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ 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 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))) (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5)))))) (* 1/2 (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3))))))))))
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow r 3))) (+ (* 6 (/ p (pow r 4))) (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5))))))))) (* 2 (/ 1 r))))))) r)
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))) r)
(+ (* 1/2 p) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 p) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(+ p (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ p (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(+ r (* 2 (/ (pow q 2) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(* -1 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2))))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (- (* 1/2 (/ (+ p r) q)) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ p r) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ p r) q)))) 1))
(* q (- (+ (/ p q) (/ r q)) 2))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ p q) (/ r q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ p q) (/ r q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* 1/2 (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))))
(* (pow q 2) (+ (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))) (* 1/2 (/ (- (+ p (+ (fabs p) (fabs r))) r) (pow q 2)))))
(* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))
(* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (+ (/ p (pow q 2)) (+ (/ (fabs p) (pow q 2)) (/ (fabs r) (pow q 2))))) (+ (* 2 (/ 1 r)) (/ r (pow q 2)))))
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* (pow q 2) (+ 4 (/ (pow r 2) (pow q 2))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow r 2)))) (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2)))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1/2 (/ (+ p r) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ p r))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ p r))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ p r) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ p (+ r (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ p (+ r (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))

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

rewrite934.0ms (10.1%)

Memory

-213.3MiB live, 341.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	567
0	90	567
1	381	562
2	3198	537
0	8623	527

Stop Event

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

Counts

22 → 321

Calls

Call 1

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

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

eval90.0ms (1%)

Memory: 20.6MiB live, 215.2MiB allocated
Compiler: Compiled 46 294 to 3 545 computations (92.3% saved)

prune45.0ms (0.5%)

Memory

7.4MiB live, 106.9MiB allocated

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	641	15	656
Fresh	2	10	12
Picked	3	2	5
Done	0	2	2
Total	646	29	675

Accuracy

89.6%

Counts

675 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	15.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	10.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (/.f64 (fma.f64 (.f64 (.f64 p r) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (+.f64 p r)) (.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (-.f64 (pow.f64 (+.f64 p r) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (+.f64 p r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64)))
	30.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (/.f64 (.f64 (+.f64 p r) #s(literal 1/2 binary64)) q) #s(literal 1 binary64)) q))
	20.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	11.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ (fabs r) (fabs p)) (sqrt (+ ( (* q q) 4) (* r r)))) (-.f64 (+.f64 (fabs.f64 p) r) r)) #s(literal 1/2 binary64)))
	30.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) (fma.f64 (fma.f64 (/.f64 r q) #s(literal -1/4 binary64) #s(literal 1 binary64)) r (-.f64 p (*.f64 q #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
▶	27.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) (*.f64 r #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	2.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (-.f64 p (-.f64 r r)))) #s(literal 1/2 binary64)))
	37.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (-.f64 (+.f64 (fabs.f64 p) p) (-.f64 r r))) #s(literal 1/2 binary64)))
▶	18.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 (-.f64 (fabs.f64 p) r) r) p)) #s(literal 1/2 binary64)))
	13.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (*.f64 (sqrt.f64 p) (sqrt.f64 p))) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64)))
✓	48.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64)))
▶	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p))) #s(literal 1/2 binary64)))
	14.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) #s(approx (+ (+ p (fabs p)) (- (fabs r) r)) (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))) #s(literal 1/2 binary64)))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	5.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	31.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	22.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
	10.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 #s(literal 1/2 binary64) p (/.f64 (*.f64 (neg.f64 q) q) r))))
	30.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (+ (fabs r) (fabs p)) (/ 1/2 q)) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q))))
▶	39.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (-.f64 (+.f64 (fabs.f64 p) p) (-.f64 r r))))))
	27.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) q) q (-.f64 (+.f64 (+.f64 (fabs.f64 p) p) r) r)))))
	26.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r))) (.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q))))))
	22.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) #s(approx (* 1/2 (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r)))) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 r p))) (*.f64 r r)))))
	22.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) #s(approx (* 1/2 (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r)))) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 p (.f64 r r)) (/.f64 #s(literal 1 binary64) r)) (/.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) (.f64 q q)))) (*.f64 q q)))))

Compiler

Compiled 3 355 to 2 023 computations (39.7% saved)

simplify110.0ms (1.2%)

Memory

17.4MiB live, 152.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	802
0	100	774
1	177	760
2	405	760
3	1354	760
4	4387	760
0	8393	747

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

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

localize404.0ms (4.4%)

Memory

3.2MiB live, 530.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	8.688911312352598	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p))
accuracy	20.35767285646467	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p))) #s(literal 1/2 binary64)))
accuracy	27.40410107638326	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
accuracy	60.084566274880686	#s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 r p)))
accuracy	14.415327986844002	(-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))
accuracy	28.186332533893502	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))
accuracy	38.32185681676113	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
accuracy	39.14924557143109	#s(approx (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))
accuracy	0.00390625	(.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 (-.f64 (fabs.f64 p) r) r) p)) #s(literal 1/2 binary64))
accuracy	20.35767285646467	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 (-.f64 (fabs.f64 p) r) r) p)) #s(literal 1/2 binary64)))
accuracy	30.855789126770073	(+.f64 (-.f64 (fabs.f64 p) r) r)
accuracy	46.46612575784678	#s(approx (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 (-.f64 (fabs.f64 p) r) r) p))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) p)
accuracy	60.38848296529664	#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	6.670124558558393	(/.f64 p (*.f64 r r))
accuracy	11.075809392177	(fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (*.f64 q q) (-.f64 (+.f64 (fabs.f64 p) p) (-.f64 r r)))
accuracy	20.35767285646467	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (-.f64 (+.f64 (fabs.f64 p) p) (-.f64 r r))))))
accuracy	31.26103595566243	#s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (-.f64 (+.f64 (fabs.f64 p) p) (-.f64 r r)))))

Samples

141.0ms	110×	2	valid
117.0ms	143×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 550 to 53 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

adjust: 74.0ms (39.1% of total)

ival-mult: 38.0ms (20.1% of total)

ival-add: 23.0ms (12.2% of total)

ival-sub: 18.0ms (9.5% of total)

ival-div: 12.0ms (6.3% of total)

ival-sqrt: 11.0ms (5.8% of total)

ival-pow2: 10.0ms (5.3% of total)

ival-fabs: 2.0ms (1.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series34.0ms (0.4%)

Memory

-29.1MiB live, 67.1MiB allocated

Counts

22 → 232

Calls

Call 1

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

Outputs
(fabs p)
(+ p (fabs p))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* 1/2 p)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 p) (* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ p r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (fabs p) (* -2 (/ (pow q 2) r)))
(+ (fabs p) (+ (* -2 (/ (pow q 2) r)) (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))))
(/ p (pow r 2))
p
(* p (+ 1 (/ (fabs p) p)))
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(* p (- (+ (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (+ (/ (fabs p) p) (/ (fabs r) p))) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ 1/2 (* 1/2 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(* p (- (+ 1 (/ r p)) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 2) (* p r))) (+ (* -2 (/ (pow q 2) (pow r 2))) (/ (fabs p) p)))))
(* -1 (* p (- (* -1 (/ (fabs p) p)) 1)))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1 (* p (- (* -1/2 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)) 1)))
(* -1 (* p (- (* 2 (/ (pow q 2) (pow r 2))) 1)))
(* -1 (* p (- (+ (* -1 (/ (+ (fabs p) (* -2 (/ (pow q 2) r))) p)) (* 2 (/ (pow q 2) (pow r 2)))) 1)))
0
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* -1/4 (/ r q)) (* 1/2 (/ p q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* 1/2 (/ p q)) (* r (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(* 1/2 (- p (* 2 q)))
(+ (* 1/2 r) (* 1/2 (- p (* 2 q))))
(+ (* 1/2 (- p (* 2 q))) (* r (+ 1/2 (* -1/8 (/ r q)))))
(+ (* 1/2 (- p (* 2 q))) (* r (+ 1/2 (* r (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- p (* 2 q))
(- (+ p r) (* 2 q))
(- (+ p (* r (+ 1 (* -1/4 (/ r q))))) (* 2 q))
(- (+ p (* r (+ 1 (* r (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q))))))) (* 2 q))
(* -2 q)
(- r (* 2 q))
(- (* r (+ 1 (* -1/4 (/ r q)))) (* 2 q))
(- (* r (+ 1 (* r (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(* 1/2 (/ (* p r) q))
(* r (+ (* -1/16 (/ (* p (pow r 2)) (pow q 3))) (* 1/2 (/ p q))))
(* r (+ (* 1/2 (/ p q)) (* (pow r 2) (+ (* -1/16 (/ p (pow q 3))) (* 3/256 (/ (* p (pow r 2)) (pow q 5)))))))
(* r (+ (* 1/2 (/ p q)) (* (pow r 2) (+ (* -1/16 (/ p (pow q 3))) (* (pow r 2) (+ (* -5/2048 (/ (* p (pow r 2)) (pow q 7))) (* 3/256 (/ p (pow q 5)))))))))
(* -2 (/ (* p (pow q 2)) (pow r 2)))
(/ (+ (* -2 (* p (pow q 2))) (* -2 (* (pow q 2) r))) (pow r 2))
(/ (+ (* -2 (* p (pow q 2))) (* r (+ (* -2 (pow q 2)) (* r (+ p (fabs p)))))) (pow r 2))
(* 2 q)
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q))
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(/ 1/2 q)
(+ (* -1/16 (/ (pow r 2) (pow q 3))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* 3/256 (/ (pow r 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* (pow r 2) (+ (* -5/2048 (/ (pow r 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2))
(* -1 r)
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 p))
(+ (* -1 (/ (pow q 2) r)) (+ (* 1/2 p) (/ (pow q 4) (pow r 3))))
(+ (* -2 (/ (pow q 6) (pow r 5))) (+ (* -1 (/ (pow q 2) r)) (+ (* 1/2 p) (/ (pow q 4) (pow r 3)))))
(+ p (* -2 (/ (pow q 2) r)))
(- (+ p (* 2 (/ (pow q 4) (pow r 3)))) (* 2 (/ (pow q 2) r)))
(- (+ p (* -4 (/ (pow q 6) (pow r 5)))) (+ (* -2 (/ (pow q 4) (pow r 3))) (* 2 (/ (pow q 2) r))))
(* -2 (/ (pow q 2) r))
(/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r)
(/ (- (* -4 (/ (pow q 6) (pow r 4))) (+ (* -2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2)))) r)
(/ (- (* 1/2 (/ (+ (* 4 (pow q 8)) (* 16 (pow q 8))) (pow r 6))) (+ (* -2 (/ (pow q 4) (pow r 2))) (+ (* 2 (pow q 2)) (* 4 (/ (pow q 6) (pow r 4)))))) r)
(+ p (* -2 (/ (* p (pow q 2)) (pow r 2))))
(+ p (+ (* -2 (/ (* p (pow q 2)) (pow r 2))) (* -1/2 (/ (* p (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (pow r 4)))))
(+ p (+ (* -2 (/ (* p (pow q 2)) (pow r 2))) (+ (* -1/2 (/ (* p (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (pow r 4))) (* -1/2 (/ (* p (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6)))) (pow r 6))))))
(+ p (+ (fabs p) (* -2 (/ (pow q 2) r))))
(+ p (+ (fabs p) (+ (* -2 (/ (* p (pow q 2)) (pow r 2))) (* -2 (/ (pow q 2) r)))))
r
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))
(/ 1 r)
(/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r)
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p)))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* 2 (/ (pow q 2) r))))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)) 1)))
(* -1 (* r (- (* -1/2 (/ p r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 p) (/ (pow q 2) r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 p)) r)) 1)))
(* 2 r)
(* -1 (* r (- (* -1 (/ p r)) 2)))
(* -1 (* r (- (* -1 (/ (+ p (* 2 (/ (pow q 2) r))) r)) 2)))
(* -1 (* r (- (* -1 (/ (+ p (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r))) r)) 2)))
(* -1 (* r (- (* -2 (/ (pow q 2) (pow r 2))) 2)))
(* -1 (* r (- (* 2 (/ (pow q 4) (pow r 4))) (+ 2 (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (- (* -4 (/ (pow q 6) (pow r 6))) (+ 2 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))))
(* -1 p)
(+ (* -1 p) (* 2 (/ (* p (pow q 2)) (pow r 2))))
(+ (* -1 p) (+ (* 1/2 (/ (* p (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (pow r 4))) (* 2 (/ (* p (pow q 2)) (pow r 2)))))
(+ (* -1 p) (+ (* 1/2 (/ (* p (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (pow r 4))) (+ (* 1/2 (/ (* p (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6)))) (pow r 6))) (* 2 (/ (* p (pow q 2)) (pow r 2))))))
(+ p (+ (fabs p) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(/ -1 r)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))) (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5)))))) (* 1/2 (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3))))))))))
(- (+ p (+ (fabs p) (fabs r))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow r 3))) (+ (* 6 (/ p (pow r 4))) (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5))))))))) (* 2 (/ 1 r))))))) r)
(+ (* 1/2 p) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 p) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(+ p (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ p (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r))))
(* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r))))
(* (pow q 2) (- (* (pow q 2) (+ (* (pow q 2) (- (* 10 (/ (pow q 2) (pow r 7))) (* 4 (/ 1 (pow r 5))))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r))))
(+ p (* (pow q 2) (+ (* -2 (/ p (pow r 2))) (* 6 (/ (* p (pow q 2)) (pow r 4))))))
(+ p (* (pow q 2) (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* -20 (/ (* p (pow q 2)) (pow r 6))) (* 6 (/ p (pow r 4))))))))
(+ p (+ (fabs p) (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))))
(+ r (* 2 (/ (pow q 2) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(+ (* -2 (/ (pow q 2) (pow r 3))) (/ 1 r))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow r 7))) (* 6 (/ 1 (pow r 5))))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(* -1 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2))))) 1))
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* q (- (* 1/2 (/ (+ p r) q)) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ p r) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ p r) q)))) 1))
(* q (- (+ (/ p q) (/ r q)) 2))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ p q) (/ r q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ p q) (/ r q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (- (/ r q) 2))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (/ r q)) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (/ r q)) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(/ (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) q)
(/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r)))) q)
(/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1 (/ (* p (* r (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))))) (pow q 6))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))))) q)
(* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))
(* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (+ (/ p (pow q 2)) (/ (fabs p) (pow q 2)))) (* 2 (/ 1 r))))
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q)
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow r 2)))) (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2)))) q)))) q)) 2)))
(* -1 (* q (- (* -1/2 (/ (+ p r) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ p r))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ p r))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ p r) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ p (+ r (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ p (+ r (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ r q)) 2)))
(* -1 (* q (- (* -1 (/ (+ r (* 1/4 (/ (pow r 2) q))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ r (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q))) q)) 2)))
(* -1/2 (/ (* p r) q))
(* -1 (/ (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) q))
(* -1 (/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r)))) q))
(* -1 (/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1 (/ (* p (* r (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))))) (pow q 6))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))))) q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))

Calls

9 calls:

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

simplify181.0ms (2%)

Memory

24.5MiB live, 295.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1078	5381
1	3482	5273
0	8169	4980

Stop Event

1×	iter limit
1×	node limit

Counts

232 → 229

Calls

Call 1

Inputs
(fabs p)
(+ p (fabs p))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* 1/2 p)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 p) (* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ p r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (fabs p) (* -2 (/ (pow q 2) r)))
(+ (fabs p) (+ (* -2 (/ (pow q 2) r)) (* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))))
(/ p (pow r 2))
p
(* p (+ 1 (/ (fabs p) p)))
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(* p (- (+ (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))) (+ (/ (fabs p) p) (/ (fabs r) p))) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ 1/2 (* 1/2 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))))
(* p (- (+ 1 (/ r p)) (* (/ 1 p) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ 1 (* -2 (/ (pow q 2) (pow r 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 2) (* p r))) (+ (* -2 (/ (pow q 2) (pow r 2))) (/ (fabs p) p)))))
(* -1 (* p (- (* -1 (/ (fabs p) p)) 1)))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1 (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)))))
(* -1 (* p (- (* -1/2 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p)) 1)))
(* -1 (* p (- (* 2 (/ (pow q 2) (pow r 2))) 1)))
(* -1 (* p (- (+ (* -1 (/ (+ (fabs p) (* -2 (/ (pow q 2) r))) p)) (* 2 (/ (pow q 2) (pow r 2)))) 1)))
0
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* -1/8 (/ r q)) (* 1/4 (/ p q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (* -1/32 (/ (* p r) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* 1/2 (/ (* p r) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* -1/4 (/ r q)) (* 1/2 (/ p q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* r (+ (* 1/2 (/ p q)) (* r (- (* -1/16 (/ (* p r) (pow q 3))) (* 1/4 (/ 1 q)))))))) (* 2 q))
(* 1/2 (- p (* 2 q)))
(+ (* 1/2 r) (* 1/2 (- p (* 2 q))))
(+ (* 1/2 (- p (* 2 q))) (* r (+ 1/2 (* -1/8 (/ r q)))))
(+ (* 1/2 (- p (* 2 q))) (* r (+ 1/2 (* r (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))))
(- p (* 2 q))
(- (+ p r) (* 2 q))
(- (+ p (* r (+ 1 (* -1/4 (/ r q))))) (* 2 q))
(- (+ p (* r (+ 1 (* r (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q))))))) (* 2 q))
(* -2 q)
(- r (* 2 q))
(- (* r (+ 1 (* -1/4 (/ r q)))) (* 2 q))
(- (* r (+ 1 (* r (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(* 1/2 (/ (* p r) q))
(* r (+ (* -1/16 (/ (* p (pow r 2)) (pow q 3))) (* 1/2 (/ p q))))
(* r (+ (* 1/2 (/ p q)) (* (pow r 2) (+ (* -1/16 (/ p (pow q 3))) (* 3/256 (/ (* p (pow r 2)) (pow q 5)))))))
(* r (+ (* 1/2 (/ p q)) (* (pow r 2) (+ (* -1/16 (/ p (pow q 3))) (* (pow r 2) (+ (* -5/2048 (/ (* p (pow r 2)) (pow q 7))) (* 3/256 (/ p (pow q 5)))))))))
(* -2 (/ (* p (pow q 2)) (pow r 2)))
(/ (+ (* -2 (* p (pow q 2))) (* -2 (* (pow q 2) r))) (pow r 2))
(/ (+ (* -2 (* p (pow q 2))) (* r (+ (* -2 (pow q 2)) (* r (+ p (fabs p)))))) (pow r 2))
(* 2 q)
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q))
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(/ 1/2 q)
(+ (* -1/16 (/ (pow r 2) (pow q 3))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* 3/256 (/ (pow r 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* (pow r 2) (+ (* -5/2048 (/ (pow r 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) 1/2))
(* -1 r)
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 p))
(+ (* -1 (/ (pow q 2) r)) (+ (* 1/2 p) (/ (pow q 4) (pow r 3))))
(+ (* -2 (/ (pow q 6) (pow r 5))) (+ (* -1 (/ (pow q 2) r)) (+ (* 1/2 p) (/ (pow q 4) (pow r 3)))))
(+ p (* -2 (/ (pow q 2) r)))
(- (+ p (* 2 (/ (pow q 4) (pow r 3)))) (* 2 (/ (pow q 2) r)))
(- (+ p (* -4 (/ (pow q 6) (pow r 5)))) (+ (* -2 (/ (pow q 4) (pow r 3))) (* 2 (/ (pow q 2) r))))
(* -2 (/ (pow q 2) r))
(/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r)
(/ (- (* -4 (/ (pow q 6) (pow r 4))) (+ (* -2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2)))) r)
(/ (- (* 1/2 (/ (+ (* 4 (pow q 8)) (* 16 (pow q 8))) (pow r 6))) (+ (* -2 (/ (pow q 4) (pow r 2))) (+ (* 2 (pow q 2)) (* 4 (/ (pow q 6) (pow r 4)))))) r)
(+ p (* -2 (/ (* p (pow q 2)) (pow r 2))))
(+ p (+ (* -2 (/ (* p (pow q 2)) (pow r 2))) (* -1/2 (/ (* p (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (pow r 4)))))
(+ p (+ (* -2 (/ (* p (pow q 2)) (pow r 2))) (+ (* -1/2 (/ (* p (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (pow r 4))) (* -1/2 (/ (* p (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6)))) (pow r 6))))))
(+ p (+ (fabs p) (* -2 (/ (pow q 2) r))))
(+ p (+ (fabs p) (+ (* -2 (/ (* p (pow q 2)) (pow r 2))) (* -2 (/ (pow q 2) r)))))
r
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))
(/ 1 r)
(/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r)
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p)))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p))))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* 2 (/ (pow q 2) r))))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (+ (* -1 p) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)) 1)))
(* -1 (* r (- (* -1/2 (/ p r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 p) (/ (pow q 2) r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 p)) r)) 1)))
(* 2 r)
(* -1 (* r (- (* -1 (/ p r)) 2)))
(* -1 (* r (- (* -1 (/ (+ p (* 2 (/ (pow q 2) r))) r)) 2)))
(* -1 (* r (- (* -1 (/ (+ p (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r))) r)) 2)))
(* -1 (* r (- (* -2 (/ (pow q 2) (pow r 2))) 2)))
(* -1 (* r (- (* 2 (/ (pow q 4) (pow r 4))) (+ 2 (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (- (* -4 (/ (pow q 6) (pow r 6))) (+ 2 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))))
(* -1 p)
(+ (* -1 p) (* 2 (/ (* p (pow q 2)) (pow r 2))))
(+ (* -1 p) (+ (* 1/2 (/ (* p (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (pow r 4))) (* 2 (/ (* p (pow q 2)) (pow r 2)))))
(+ (* -1 p) (+ (* 1/2 (/ (* p (+ (* -16 (pow q 4)) (* 4 (pow q 4)))) (pow r 4))) (+ (* 1/2 (/ (* p (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6)))) (pow r 6))) (* 2 (/ (* p (pow q 2)) (pow r 2))))))
(+ p (+ (fabs p) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(/ -1 r)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))) (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* 1/2 (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r)))) (* (pow q 2) (+ (* 1/2 (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5)))))) (* 1/2 (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3))))))))))
(- (+ p (+ (fabs p) (fabs r))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 6 (/ p (pow r 4))) (* 2 (/ 1 (pow r 3)))))) (* 2 (/ 1 r))))))) r)
(- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* 2 (/ 1 (pow r 3))) (+ (* 6 (/ p (pow r 4))) (* (pow q 2) (- (* -20 (/ p (pow r 6))) (* 4 (/ 1 (pow r 5))))))))) (* 2 (/ 1 r))))))) r)
(+ (* 1/2 p) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 p) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(+ p (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ p (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r))))
(* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r))))
(* (pow q 2) (- (* (pow q 2) (+ (* (pow q 2) (- (* 10 (/ (pow q 2) (pow r 7))) (* 4 (/ 1 (pow r 5))))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r))))
(+ p (* (pow q 2) (+ (* -2 (/ p (pow r 2))) (* 6 (/ (* p (pow q 2)) (pow r 4))))))
(+ p (* (pow q 2) (+ (* -2 (/ p (pow r 2))) (* (pow q 2) (+ (* -20 (/ (* p (pow q 2)) (pow r 6))) (* 6 (/ p (pow r 4))))))))
(+ p (+ (fabs p) (* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))))
(+ r (* 2 (/ (pow q 2) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(+ (* -2 (/ (pow q 2) (pow r 3))) (/ 1 r))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow r 7))) (* 6 (/ 1 (pow r 5))))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(* -1 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2)))) 1))
(* q (- (+ (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (+ (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 4))) (* 1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) (pow q 2))))) 1))
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 4))) (+ (* 1/2 (/ (* p r) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))) (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* q (- (* 1/2 (/ (+ p r) q)) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ p r) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ p r) q)))) 1))
(* q (- (+ (/ p q) (/ r q)) 2))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ p q) (/ r q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ p q) (/ r q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (- (/ r q) 2))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (/ r q)) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (/ r q)) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(/ (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) q)
(/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r)))) q)
(/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1 (/ (* p (* r (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))))) (pow q 6))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))))) q)
(* (pow q 2) (- (* -2 (/ p (pow r 2))) (* 2 (/ 1 r))))
(* (pow q 2) (- (+ (* -2 (/ p (pow r 2))) (+ (/ p (pow q 2)) (/ (fabs p) (pow q 2)))) (* 2 (/ 1 r))))
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q)
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (* p r)) (* 1/4 (pow r 2)))) (* 1/2 (/ (- (* -1/16 (* p (pow r 3))) (* -1/64 (pow r 4))) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/2 (* p r)) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) (+ (* -1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2)))) q)))) q)) 2)))
(* -1 (* q (- (* -1/2 (/ (+ p r) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ p r))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ p r))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ p r) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ p (+ r (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ p (+ r (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ r q)) 2)))
(* -1 (* q (- (* -1 (/ (+ r (* 1/4 (/ (pow r 2) q))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ r (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q))) q)) 2)))
(* -1/2 (/ (* p r) q))
(* -1 (/ (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))) q))
(* -1 (/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r)))) q))
(* -1 (/ (+ (* -1 (/ (* p (* r (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 4))) (+ (* -1 (/ (* p (* r (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))))) (pow q 6))) (+ (* -1/16 (/ (* p (pow r 3)) (pow q 2))) (* 1/2 (* p r))))) q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))

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

rewrite166.0ms (1.8%)

Memory

-7.0MiB live, 229.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	668
0	100	650
1	414	621
2	3461	608
0	8466	595

Stop Event

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

Counts

22 → 274

Calls

Call 1

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

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

eval112.0ms (1.2%)

Memory: -12.7MiB live, 192.2MiB allocated
Compiler: Compiled 39 285 to 3 147 computations (92% saved)

prune55.0ms (0.6%)

Memory

-18.8MiB live, 133.6MiB allocated

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	486	16	502
Fresh	10	10	20
Picked	2	3	5
Done	0	4	4
Total	498	33	531

Accuracy

89.9%

Counts

531 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 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 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
	15.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) #s(literal 1/2 binary64)))
	10.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (/.f64 (fma.f64 (.f64 (.f64 p r) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (+.f64 p r)) (.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (-.f64 (pow.f64 (+.f64 p r) #s(literal 2 binary64)) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (fma.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (+.f64 p r) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) #s(literal 1/2 binary64)))
	20.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	17.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) (-.f64 r (pow.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	17.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) (-.f64 r (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))) #s(literal 1/2 binary64)))
✓	27.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) (-.f64 r (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) #s(literal 1/2 binary64)))
	14.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) (-.f64 r (exp.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))))) #s(literal 1/2 binary64)))
	31.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) (-.f64 r #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (*.f64 q #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) (*.f64 r #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	30.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) #s(approx (- r (sqrt (+ (* (* q q) 4) (* r r)))) (fma.f64 (fma.f64 (/.f64 r q) #s(literal -1/4 binary64) #s(literal 1 binary64)) r (*.f64 #s(literal -2 binary64) q)))) #s(literal 1/2 binary64)))
	32.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) #s(approx (- r (sqrt (+ (* (* q q) 4) (* r r)))) (.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
	30.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) #s(approx (- r (sqrt (+ (* (* q q) 4) (* r r)))) (*.f64 (-.f64 (/.f64 r q) #s(literal 2 binary64)) q))) #s(literal 1/2 binary64)))
	2.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (-.f64 p (-.f64 r r)))) #s(literal 1/2 binary64)))
	15.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (-.f64 (-.f64 (fabs.f64 p) r) r) p)) #s(literal 1/2 binary64)))
✓	18.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 (-.f64 (fabs.f64 p) r) r) p)) #s(literal 1/2 binary64)))
✓	48.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64)))
	12.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (*.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p))) p)) #s(literal 1/2 binary64)))
	37.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (fabs.f64 p) p)) #s(literal 1/2 binary64)))
	8.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 (.f64 (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal -1/2 binary64)) r) p)) #s(literal 1/2 binary64)))
	3.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (.f64 #s(approx (sqrt (/ 1 (+ ( (* q q) 4) (* r r)))) (/.f64 #s(literal 1/2 binary64) q)) (*.f64 r p))) #s(literal 1/2 binary64)))
	14.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) #s(approx (+ (+ p (fabs p)) (- (fabs r) r)) (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))) #s(literal 1/2 binary64)))
	3.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (.f64 (/.f64 (.f64 r p) q) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	5.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	31.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	10.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ r p) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 #s(literal 1/2 binary64) p (/.f64 (*.f64 (neg.f64 q) q) r))))
	39.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 p (.f64 r r))) (/.f64 #s(literal 2 binary64) r)) q) q (+.f64 (fabs.f64 p) p)))))
	40.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (- (+ (fabs p) p) (- r r))) (fma.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 q p) (/.f64 q r) (*.f64 (/.f64 q r) (/.f64 q r))) (/.f64 (fabs.f64 p) p)) p p)))))
	44.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (- (+ (fabs p) p) (- r r))) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (+.f64 (fabs.f64 p) p))))))
	22.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) #s(approx (* 1/2 (+ (* (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (+ (+ p (fabs p)) (- (fabs r) r)))) (/.f64 (neg.f64 (.f64 (.f64 q q) (+.f64 r p))) (*.f64 r r)))))

Compiler

Compiled 5 742 to 1 626 computations (71.7% saved)

regimes142.0ms (1.5%)

Memory

43.6MiB live, 229.2MiB allocated

Counts

62 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

32.0ms	(pow.f64 q #s(literal 2 binary64))
27.0ms	(.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)))))))
18.0ms	p
18.0ms	q
15.0ms	r

Results

Accuracy	Segments	Branch
77.1%	3	`(pow.f64 q #s(literal 2 binary64))`
77.1%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
59.6%	3	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
59.6%	3	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
61.7%	5	`p`
67.3%	5	`r`
77.1%	3	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes43.0ms (0.5%)

Memory

-16.5MiB live, 78.9MiB allocated

Counts

44 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

16.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
14.0ms	q
10.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
76.8%	3	`(pow.f64 q #s(literal 2 binary64))`
76.8%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
76.8%	3	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes24.0ms (0.3%)

Memory

24.1MiB live, 64.9MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

10.0ms	q
6.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
6.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
76.5%	3	`(pow.f64 q #s(literal 2 binary64))`
76.5%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
76.5%	3	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes21.0ms (0.2%)

Memory

-13.0MiB live, 33.7MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

7.0ms	q
6.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
6.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
75.3%	3	`(pow.f64 q #s(literal 2 binary64))`
75.3%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
75.3%	3	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes24.0ms (0.3%)

Memory

0.4MiB live, 46.4MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
6.0ms	q
5.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
72.5%	2	`(pow.f64 q #s(literal 2 binary64))`
72.5%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
72.5%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes14.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

4.0ms	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
64.0%	2	`(pow.f64 q #s(literal 2 binary64))`
64.0%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
64.0%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes31.0ms (0.3%)

Memory

-41.9MiB live, 23.1MiB allocated

Accuracy

Total -19.3b remaining (-44.1%)

Threshold costs -19.3b (-44.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

19.0ms	q
2.0ms	p
2.0ms	r
2.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
2.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
31.7%	1	`p`
31.7%	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))))))`
31.7%	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)))))))`
31.7%	1	`r`
31.7%	1	`(pow.f64 q #s(literal 2 binary64))`
31.7%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
31.7%	1	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch79.0ms (0.9%)

Memory

31.9MiB live, 166.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	3.4608875406644703e+47	9.851412414062449e+48
41.0ms	8.269510012663343e-23	2.2112427033055407e-16

Samples

31.0ms	133×	1	valid
19.0ms	56×	2	valid
7.0ms	67×	0	valid

Compiler

Compiled 2 445 to 1 473 computations (39.8% saved)

Precisions

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

adjust: 13.0ms (29.6% of total)

ival-pow2: 8.0ms (18.2% of total)

ival-add: 5.0ms (11.4% of total)

ival-mult: 5.0ms (11.4% of total)

ival-sub: 4.0ms (9.1% of total)

ival-sqrt: 4.0ms (9.1% of total)

ival-div: 2.0ms (4.6% of total)

ival-fabs: 2.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch39.0ms (0.4%)

Memory

-23.0MiB live, 79.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.4608875406644703e+47	9.851412414062449e+48
33.0ms	7.998067217868274e-25	8.269510012663343e-23

Samples

17.0ms	64×	1	valid
8.0ms	27×	2	valid
2.0ms	21×	0	valid

Compiler

Compiled 2 307 to 1 333 computations (42.2% saved)

Precisions

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

ival-pow2: 7.0ms (30.6% of total)

adjust: 5.0ms (21.8% of total)

ival-sub: 2.0ms (8.7% of total)

ival-sqrt: 2.0ms (8.7% of total)

ival-add: 2.0ms (8.7% of total)

ival-mult: 2.0ms (8.7% of total)

ival-div: 1.0ms (4.4% of total)

ival-fabs: 1.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.4608875406644703e+47	9.851412414062449e+48
2.0ms	7.998067217868274e-25	8.269510012663343e-23

Compiler

Compiled 2 034 to 1 207 computations (40.7% saved)

bsearch60.0ms (0.7%)

Memory

-5.9MiB live, 135.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	3.4608875406644703e+47	9.851412414062449e+48
32.0ms	7.998067217868274e-25	8.269510012663343e-23

Samples

25.0ms	105×	1	valid
16.0ms	43×	2	valid
3.0ms	28×	0	valid

Compiler

Compiled 1 516 to 955 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-pow2: 9.0ms (24.5% of total)

adjust: 8.0ms (21.8% of total)

ival-sub: 7.0ms (19% of total)

ival-mult: 4.0ms (10.9% of total)

ival-sqrt: 3.0ms (8.2% of total)

ival-add: 3.0ms (8.2% of total)

ival-fabs: 2.0ms (5.4% of total)

ival-div: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch46.0ms (0.5%)

Memory

4.1MiB live, 48.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	15007605.84391672	109771381.88027708

Samples

29.0ms	44×	1	valid
7.0ms	23×	2	valid
3.0ms	29×	0	valid

Compiler

Compiled 583 to 390 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

adjust: 4.0ms (26.3% of total)

ival-pow2: 3.0ms (19.8% of total)

ival-sub: 2.0ms (13.2% of total)

ival-add: 2.0ms (13.2% of total)

ival-mult: 2.0ms (13.2% of total)

ival-div: 1.0ms (6.6% of total)

ival-sqrt: 1.0ms (6.6% of total)

ival-fabs: 1.0ms (6.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory

8.3MiB live, 52.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	585.3428407577654	2702.486219597802

Samples

11.0ms	54×	1	valid
8.0ms	20×	2	valid
2.0ms	22×	0	valid

Compiler

Compiled 553 to 372 computations (32.7% saved)

Precisions

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

ival-pow2: 5.0ms (27.5% of total)

adjust: 4.0ms (22% of total)

ival-sub: 2.0ms (11% of total)

ival-add: 2.0ms (11% of total)

ival-mult: 2.0ms (11% of total)

ival-div: 1.0ms (5.5% of total)

ival-sqrt: 1.0ms (5.5% of total)

ival-fabs: 1.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

simplify62.0ms (0.7%)

Memory

-11.8MiB live, 85.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	997
1	185	993
2	389	993
3	1025	993
4	2951	993

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 q #s(literal 5614659054195485/42535295865117307932921825928971026432 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) (if (<=.f64 q #s(literal 9499999999999999686368763196763739606922406395904 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) #s(approx (- r (sqrt (+ (* (* q q) 4) (* r r)))) (fma.f64 (fma.f64 (/.f64 r q) #s(literal -1/4 binary64) #s(literal 1 binary64)) r (*.f64 #s(literal -2 binary64) q)))) #s(literal 1/2 binary64)))))
(if (<=.f64 q #s(literal 7213986178723895/1361129467683753853853498429727072845824 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) (if (<=.f64 q #s(literal 9499999999999999686368763196763739606922406395904 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (- (+ (fabs p) p) (- r r))) (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (+.f64 (fabs.f64 p) p)))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) #s(approx (- r (sqrt (+ (* (* q q) 4) (* r r)))) (fma.f64 (fma.f64 (/.f64 r q) #s(literal -1/4 binary64) #s(literal 1 binary64)) r (*.f64 #s(literal -2 binary64) q)))) #s(literal 1/2 binary64)))))
(if (<=.f64 q #s(literal 7213986178723895/1361129467683753853853498429727072845824 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) (if (<=.f64 q #s(literal 9499999999999999686368763196763739606922406395904 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (- (+ (fabs p) p) (- r r))) (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (+.f64 (fabs.f64 p) p)))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 q #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) (if (<=.f64 q #s(literal 3200000000000000140306697744243831534828952485888 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) #s(approx (- r (sqrt (+ (* (* q q) 4) (* r r)))) (.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 q #s(literal 48000000 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 1300 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (fabs.f64 p) p)) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Outputs
(if (<=.f64 q #s(literal 5614659054195485/42535295865117307932921825928971026432 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) (if (<=.f64 q #s(literal 9499999999999999686368763196763739606922406395904 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 p (.f64 r r)) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)) (.f64 q q) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) #s(approx (- r (sqrt (+ (* (* q q) 4) (* r r)))) (fma.f64 (fma.f64 (/.f64 r q) #s(literal -1/4 binary64) #s(literal 1 binary64)) r (*.f64 #s(literal -2 binary64) q)))) #s(literal 1/2 binary64)))))
(if (<=.f64 q #s(literal 7213986178723895/1361129467683753853853498429727072845824 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) (if (<=.f64 q #s(literal 9499999999999999686368763196763739606922406395904 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (- (+ (fabs p) p) (- r r))) (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (+.f64 (fabs.f64 p) p)))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) #s(approx (- r (sqrt (+ (* (* q q) 4) (* r r)))) (fma.f64 (fma.f64 (/.f64 r q) #s(literal -1/4 binary64) #s(literal 1 binary64)) r (*.f64 #s(literal -2 binary64) q)))) #s(literal 1/2 binary64)))))
(if (<=.f64 q #s(literal 7213986178723895/1361129467683753853853498429727072845824 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) (if (<=.f64 q #s(literal 9499999999999999686368763196763739606922406395904 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) 1/2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (- (* (/ p (* r r)) -2) (/ 2 r)) (* q q)) (- (+ (fabs p) p) (- r r))) (fma.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64) (+.f64 (fabs.f64 p) p)))))) #s(approx ( (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 q #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) (if (<=.f64 q #s(literal 3200000000000000140306697744243831534828952485888 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (- (+ r p) (sqrt (+ ( (* q q) 4) (* r r)))) #s(approx (- r (sqrt (+ (* (* q q) 4) (* r r)))) (.f64 (/.f64 (.f64 q q) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 q #s(literal 48000000 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 1300 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (* r p)) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r))))) (+.f64 (fabs.f64 p) p)) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

derivations1.0s (11.2%)

Memory

58.2MiB live, 1 071.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	567
0	90	567
1	381	562
2	3198	537
0	8623	527
0	1083	5289
1	3523	5161
0	8518	4895
0	45	339
0	66	339
1	253	335
2	1884	302
0	9429	297
0	70	668
0	100	650
1	414	621
2	3461	608
0	8466	595
0	1078	5381
1	3482	5273
0	8169	4980
0	877	4202
1	2808	4117
0	8148	3896
0	598	3128
1	1967	2939
2	7546	2915
0	8220	2725

Stop Event

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

Compiler

Compiled 1 035 to 117 computations (88.7% saved)

preprocess142.0ms (1.5%)

Memory: 37.5MiB live, 198.6MiB allocated
Compiler: Compiled 3 014 to 558 computations (81.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.4s (26.6%)

explain380.0ms (4.1%)

preprocess204.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify62.0ms (0.7%)

localize83.0ms (0.9%)

series21.0ms (0.2%)

simplify162.0ms (1.8%)

rewrite154.0ms (1.7%)

eval46.0ms (0.5%)

prune24.0ms (0.3%)

simplify199.0ms (2.2%)

localize304.0ms (3.3%)

series47.0ms (0.5%)

simplify208.0ms (2.3%)

rewrite154.0ms (1.7%)

eval148.0ms (1.6%)

prune38.0ms (0.4%)

simplify134.0ms (1.5%)

localize270.0ms (2.9%)

series33.0ms (0.4%)

simplify170.0ms (1.8%)

rewrite934.0ms (10.1%)

eval90.0ms (1%)

prune45.0ms (0.5%)

simplify110.0ms (1.2%)

localize404.0ms (4.4%)

series34.0ms (0.4%)

simplify181.0ms (2%)

rewrite166.0ms (1.8%)

eval112.0ms (1.2%)

prune55.0ms (0.6%)

regimes142.0ms (1.5%)

regimes43.0ms (0.5%)

regimes24.0ms (0.3%)

regimes21.0ms (0.2%)

regimes24.0ms (0.3%)

regimes14.0ms (0.1%)

regimes31.0ms (0.3%)

bsearch79.0ms (0.9%)

bsearch39.0ms (0.4%)

bsearch3.0ms (0%)

bsearch60.0ms (0.7%)

bsearch46.0ms (0.5%)

bsearch29.0ms (0.3%)

simplify62.0ms (0.7%)

derivations1.0s (11.2%)

preprocess142.0ms (1.5%)

end0.0ms (0%)

Profiling