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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample1.7s (20.2%)

Memory

37.2MiB live, 2 724.9MiB allocated; 334ms collecting garbage

Samples

1.3s	8 251×	0	valid
1.0ms	4×	1	valid
0.0ms	1×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 864.0ms

ival-pow2: 202.0ms (23.4% of total)

ival-div: 189.0ms (21.9% of total)

ival-add: 144.0ms (16.7% of total)

ival-mult: 95.0ms (11% of total)

ival-sqrt: 89.0ms (10.3% of total)

ival-fabs: 82.0ms (9.5% of total)

ival-sub: 39.0ms (4.5% of total)

exact: 12.0ms (1.4% of total)

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

adjust: 3.0ms (0.3% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain327.0ms (4%)

Memory

-41.8MiB live, 425.5MiB allocated; 109ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
150	-	1	(9.235816270339858e-175 -3.0509150531319698e-223 7.92102763132563e-161)	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
0	-	0	-	`q`
0	-	0	-	`(-.f64 p r)`
0	-	0	-	`(pow.f64 q #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`
0	-	0	-	`(fabs.f64 p)`
0	-	0	-	`(+.f64 (fabs.f64 p) (fabs.f64 r))`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`p`
0	-	0	-	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`
0	-	0	-	`(fabs.f64 r)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`r`
0	-	0	-	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	oflow-rescue	148	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	148
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	65
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	111
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	65
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))`	uflow-rescue	1	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	1
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	67
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	12
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	67

Confusion

	Predicted +	Predicted -
+	149	1
-	0	106

Precision

1.0

Recall

0.9933333333333333

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	149	0	1
-	0	0	106

Precision?

1.0

Recall?

0.9933333333333333

Freqs

test

number	freq
0	107
1	149

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

136.0ms

512×

valid

Compiler

Compiled 220 to 58 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-pow2: 19.0ms (36.9% of total)

ival-add: 12.0ms (23.3% of total)

ival-mult: 6.0ms (11.7% of total)

ival-fabs: 4.0ms (7.8% of total)

ival-div: 3.0ms (5.8% of total)

ival-sub: 3.0ms (5.8% of total)

ival-sqrt: 3.0ms (5.8% of total)

exact: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess145.0ms (1.8%)

Memory

0.7MiB live, 97.0MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs q)

(sort p r)

Compiler

Compiled 22 to 18 computations (18.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.8%	(.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

▶

45.8%

(*.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)

simplify39.0ms (0.5%)

Memory

5.1MiB live, 49.2MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (0.6%)

Memory

-4.5MiB live, 95.1MiB allocated; 9ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.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	0.01171875	(pow.f64 (-.f64 p r) #s(literal 2 binary64))
accuracy	0.014003759768442016	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	34.73536149872338	(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

40.0ms

256×

valid

Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-pow2: 6.0ms (30.5% of total)

ival-add: 3.0ms (15.3% of total)

ival-mult: 3.0ms (15.3% of total)

ival-div: 2.0ms (10.2% of total)

ival-fabs: 2.0ms (10.2% of total)

ival-sqrt: 2.0ms (10.2% of total)

ival-sub: 1.0ms (5.1% of total)

exact: 1.0ms (5.1% of total)

adjust: 0.0ms (0% of total)

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

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

series20.0ms (0.2%)

Memory

-6.1MiB live, 39.3MiB allocated; 4ms collecting garbage

Counts

7 → 128

Calls

Call 1

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

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

Calls

9 calls:

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

simplify182.0ms (2.2%)

Memory

1.8MiB live, 283.3MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

128 → 125

Calls

Call 1

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

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

rewrite204.0ms (2.5%)

Memory

10.4MiB live, 258.4MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

7 → 271

Calls

Call 1

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

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

eval57.0ms (0.7%)

Memory: -4.2MiB live, 127.2MiB allocated; 14ms collecting garbage
Compiler: Compiled 18 558 to 2 036 computations (89% saved)

prune43.0ms (0.5%)

Memory

-14.8MiB live, 42.6MiB allocated; 6ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	383	11	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	384	11	395

Accuracy

99.6%

Counts

395 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (+.f64 r p)))
	33.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
▶	41.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q))
▶	59.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
	55.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 q r) (/.f64 q r) (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) r))
	37.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
▶	31.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	58.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
▶	9.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	7.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 738 to 540 computations (26.8% saved)

simplify205.0ms (2.5%)

Memory

8.2MiB live, 243.3MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (1.6%)

Memory

0.4MiB live, 234.8MiB allocated; 24ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))
accuracy	0.01171875	(+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (fabs.f64 r)) (fabs.f64 p))
accuracy	20.46496793161581	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
accuracy	28.60365771627106	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	0.0	(fabs.f64 p)
accuracy	0.0078125	(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)
accuracy	14.05015212426702	(fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q)
accuracy	35.81588940435339	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 q #s(literal 1/2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) q))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) r)
accuracy	58.009610948000905	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
accuracy	0.0	(neg.f64 q)
accuracy	63.21393438848445	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
accuracy	0.00390625	(fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.00390625	(/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r)
accuracy	7.947075905066621	(*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)
accuracy	19.649017397265656	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))

Samples

71.0ms	254×	0	valid
2.0ms	2×	3	valid

Compiler

Compiled 292 to 42 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 16.0ms (29.4% of total)

ival-add: 12.0ms (22% of total)

ival-div: 10.0ms (18.4% of total)

ival-pow2: 5.0ms (9.2% of total)

ival-sub: 4.0ms (7.3% of total)

ival-sqrt: 3.0ms (5.5% of total)

ival-fabs: 2.0ms (3.7% of total)

adjust: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series45.0ms (0.5%)

Memory

24.0MiB live, 70.0MiB allocated; 3ms collecting garbage

Counts

19 → 152

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	r	@	-inf	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
5.0ms	p	@	-inf	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
4.0ms	p	@	0	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
3.0ms	p	@	inf	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))
3.0ms	r	@	inf	((* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) (/ (- (fabs r) (- p (fabs p))) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q 1/2) (/ (+ (fabs r) (fabs p)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)))

simplify159.0ms (1.9%)

Memory

8.2MiB live, 291.4MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

152 → 150

Calls

Call 1

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

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

rewrite222.0ms (2.7%)

Memory

-26.8MiB live, 305.0MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

19 → 295

Calls

Call 1

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

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

eval65.0ms (0.8%)

Memory: 47.1MiB live, 178.5MiB allocated; 14ms collecting garbage
Compiler: Compiled 24 433 to 2 490 computations (89.8% saved)

prune33.0ms (0.4%)

Memory

-13.2MiB live, 80.3MiB allocated; 17ms collecting garbage

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	463	9	472
Fresh	3	3	6
Picked	3	2	5
Done	0	0	0
Total	469	14	483

Accuracy

99.9%

Counts

483 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (+.f64 r p)))
	36.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (/.f64 (+.f64 p r) q) (*.f64 q #s(literal 1/2 binary64)) q))
	55.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r))
	37.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
▶	31.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64)))
▶	9.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 #s(approx (+ (sqrt (+ ( (* q q) 4) (* p p))) (fabs r)) (+.f64 (fabs.f64 r) p)) (fabs.f64 p)) #s(literal 1/2 binary64)))
✓	9.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	7.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
▶	44.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
	14.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
	38.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q)))
	38.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) #s(literal 1/2 binary64))))
▶	69.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p)))))

Compiler

Compiled 1 071 to 743 computations (30.6% saved)

simplify136.0ms (1.7%)

Memory

25.8MiB live, 209.5MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	446
0	87	446
1	181	446
2	431	446
3	1083	446
4	2342	428
5	5294	428
0	8568	423

Stop Event

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

Calls

Call 1

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

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

localize165.0ms (2%)

Memory

-16.2MiB live, 331.2MiB allocated; 70ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))
accuracy	0.01171875	(+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) r) (fabs.f64 p))
accuracy	20.46496793161581	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) (fabs.f64 p)) #s(literal 1/2 binary64)))
accuracy	28.60365771627106	(sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))
accuracy	0.0	(fabs.f64 p)
accuracy	0.01171875	(+.f64 #s(approx (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (+.f64 (fabs.f64 r) p)) (fabs.f64 p))
accuracy	20.46496793161581	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 #s(approx (+ (sqrt (+ ( (* q q) 4) (* p p))) (fabs r)) (+.f64 (fabs.f64 r) p)) (fabs.f64 p)) #s(literal 1/2 binary64)))
accuracy	39.02508197043543	#s(approx (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (+.f64 (fabs.f64 r) p))
accuracy	0.0	(fabs.f64 p)
accuracy	0.0	#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))
accuracy	0.0078125	(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)
accuracy	35.81588940435339	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	58.948679661586155	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
accuracy	0.0	(fabs.f64 r)
accuracy	0.0	(fabs.f64 p)
accuracy	0.0	#s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p))))
accuracy	19.649017397265656	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p)))))

Samples

135.0ms	254×	0	valid
2.0ms	2×	3	valid

Compiler

Compiled 336 to 52 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 44.0ms (38.3% of total)

ival-sqrt: 30.0ms (26.1% of total)

ival-add: 15.0ms (13% of total)

ival-sub: 12.0ms (10.4% of total)

ival-div: 5.0ms (4.3% of total)

ival-pow2: 5.0ms (4.3% of total)

ival-fabs: 2.0ms (1.7% of total)

adjust: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series29.0ms (0.4%)

Memory

4.2MiB live, 48.2MiB allocated; 5ms collecting garbage

Counts

22 → 221

Calls

Call 1

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

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

Calls

9 calls:

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

simplify154.0ms (1.9%)

Memory

26.6MiB live, 249.8MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	834	4430
1	3053	4427
0	8077	4168

Stop Event

1×	iter limit
1×	node limit

Counts

221 → 218

Calls

Call 1

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

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

rewrite1.2s (14.4%)

Memory

-200.2MiB live, 328.2MiB allocated; 1.6s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	401
0	87	401
1	397	401
2	3316	351
0	12700	342

Stop Event

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

Counts

22 → 420

Calls

Call 1

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

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

eval111.0ms (1.4%)

Memory: 31.6MiB live, 208.6MiB allocated; 31ms collecting garbage
Compiler: Compiled 41 639 to 3 779 computations (90.9% saved)

prune48.0ms (0.6%)

Memory

-30.5MiB live, 114.2MiB allocated; 22ms collecting garbage

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	704	10	714
Fresh	0	7	7
Picked	3	2	5
Done	0	2	2
Total	707	21	728

Accuracy

99.9%

Counts

728 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (+.f64 r p)))
	36.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (/.f64 (+.f64 p r) q) (*.f64 q #s(literal 1/2 binary64)) q))
▶	55.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r))
	37.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	8.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 #s(approx (+ (sqrt (+ ( (* q q) 4) (* p p))) (fabs r)) (+.f64 p r)) p) #s(literal 1/2 binary64)))
	26.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 #s(approx (+ (sqrt (+ ( (* q q) 4) (* p p))) r) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fabs.f64 p)) #s(literal 1/2 binary64)))
✓	9.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	7.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
▶	38.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (+.f64 p r) #s(literal 1/2 binary64) q)))
▶	26.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 r) (sqrt.f64 r) p) q)))
	44.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q)))
	14.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
	38.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q)))
	38.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (.f64 (+.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64))) #s(literal 1 binary64)) q)))
	38.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) #s(literal 1/2 binary64))))
▶	40.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (+.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/2 binary64))))
	52.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (.f64 (sqrt.f64 r) (sqrt.f64 r)) p)))))
✓	69.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p)))))
▶	69.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 r p)))))
	45.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ r (fabs p)) (- (fabs r) p)) (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r))))))

Compiler

Compiled 1 733 to 1 170 computations (32.5% saved)

simplify134.0ms (1.6%)

Memory

36.5MiB live, 220.6MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	484
0	91	451
1	189	427
2	566	415
3	2098	411
0	8220	395

Stop Event

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

Calls

Call 1

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

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

localize147.0ms (1.8%)

Memory

0.8MiB live, 241.0MiB allocated; 35ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64)))
accuracy	0.0625	(fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))
accuracy	3.732540188561081	(*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r)
accuracy	13.651086102804992	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 p (fabs.f64 p))) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))) r))
accuracy	0.0	(sqrt.f64 r)
accuracy	0.27181625976844204	(fma.f64 (sqrt.f64 r) (sqrt.f64 r) p)
accuracy	8.997430728423392	#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 r) (sqrt.f64 r) p) q))
accuracy	27.57938573735739	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 r) (sqrt.f64 r) p) q)))
accuracy	0.0	(+.f64 (-.f64 r (-.f64 p p)) r)
accuracy	0.0	(*.f64 (+.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/2 binary64))
accuracy	11.660378263388502	#s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (+.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/2 binary64)))
accuracy	12.279502360063733	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (+.f64 (-.f64 r (-.f64 p p)) r) #s(literal 1/2 binary64))))
accuracy	0.0	(fma.f64 (+.f64 p r) #s(literal 1/2 binary64) q)
accuracy	0.0	(+.f64 p r)
accuracy	8.997430728423392	#s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (+.f64 p r) #s(literal 1/2 binary64) q))
accuracy	27.57938573735739	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 (+.f64 p r) #s(literal 1/2 binary64) q)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 r p)))
accuracy	0.0	(fabs.f64 p)
accuracy	0.0	#s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 r p))))
accuracy	12.279502360063733	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 r p)))))

Samples

78.0ms	183×	0	valid
38.0ms	71×	0	invalid
1.0ms	2×	1	valid

Compiler

Compiled 347 to 53 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-add: 37.0ms (38.9% of total)

ival-mult: 34.0ms (35.7% of total)

ival-div: 6.0ms (6.3% of total)

ival-sub: 6.0ms (6.3% of total)

ival-pow2: 5.0ms (5.3% of total)

ival-sqrt: 3.0ms (3.2% of total)

ival-fabs: 2.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory

3.0MiB live, 87.9MiB allocated; 11ms collecting garbage

Counts

25 → 119

Calls

Call 1

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

Outputs
(+ (fabs p) (* 2 r))
(+ (fabs p) (+ (* -1 p) (* 2 r)))
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r))))
(+ (* -1/2 p) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))))
(* 1/2 (+ (fabs p) (* 2 r)))
(+ (* -1/2 p) (* 1/2 (+ (fabs p) (* 2 r))))
(+ q (* 1/2 (+ (fabs p) (fabs r))))
(+ q (* 1/2 r))
(+ q (+ (* 1/2 p) (* 1/2 r)))
r
(+ p r)
0
(+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2))))
(+ 1/2 (+ (* -1/2 (/ p r)) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2)))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2)))))
(+ (* -1/2 p) (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2))))))
(fabs p)
(* 2 r)
(* -1 p)
(* p (- (+ (* 2 (/ r p)) (/ (fabs p) p)) 1))
(* 1/2 p)
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))
(* -1/2 p)
(* p (- (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2))
(* p (- (* 1/2 (/ (+ (fabs p) (* 2 r)) p)) 1/2))
(* p (+ 1/2 (+ (* 1/2 (/ r p)) (/ q p))))
p
(* p (+ 1 (/ r p)))
(* -1/2 (/ p r))
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (+ (* 1/2 (/ 1 p)) (/ (pow q 2) (* p (pow r 2))))) (* 1/2 (/ 1 r))))
(* p (- (/ (* r (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) (/ (pow q 2) (pow r 2))))) p) 1/2))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (* 2 r)) p)))))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p)))))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (* 2 r)) p)))))
(* -1 (* p (- (* -1 (/ (+ q (* 1/2 r)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ r p)) 1)))
(* -1 (* p (+ (* -1 (/ (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) (/ (pow q 2) (pow r 2)))) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) (/ (pow q 2) (pow r 2))))) p)))))
(- (fabs p) p)
(- (+ (fabs p) (* 2 r)) p)
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) p))
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))
(* 1/2 (- (fabs p) p))
(+ r (* 1/2 (- (fabs p) p)))
(+ q (* 1/2 p))
(/ (pow q 2) (pow r 2))
(/ (+ (* 1/2 (* r (- (+ (fabs p) (fabs r)) p))) (pow q 2)) (pow r 2))
(/ (+ (* r (+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))) (pow q 2)) (pow r 2))
(fabs r)
(/ (pow q 2) r)
(/ (+ (* 1/2 (* r (- (+ (fabs p) (fabs r)) p))) (pow q 2)) r)
(/ (+ (* r (+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))) (pow q 2)) r)
(sqrt r)
(/ (+ (* 1/2 (pow r 2)) (pow q 2)) (pow r 2))
(* r (- (+ 2 (/ (fabs p) r)) (/ p r)))
(* 1/2 r)
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))))))
(* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r))))
(* r (+ 1 (* 1/2 (/ (- (fabs p) p) r))))
(* r (+ 1/2 (+ (* 1/2 (/ p r)) (/ q r))))
(* r (+ 1 (/ p r)))
1/2
(+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))
(+ 1/2 (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) (/ (pow q 2) (pow r 2))))
(* r (+ 1/2 (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) (/ (pow q 2) (pow r 2)))))
(+ 1/2 (/ (pow q 2) (pow r 2)))
(* -1 (* r (- (* -1 (/ (- (fabs p) p) r)) 2)))
(* -1/2 r)
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1/2 (/ (- (fabs p) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ q (* 1/2 p)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ p r)) 1)))
(* -1 (* r (pow (sqrt -1) 2)))
(* -1 (* r (+ (* -1 (/ p r)) (pow (sqrt -1) 2))))
(* -1/2 (* r (pow (sqrt -1) 2)))
(* -1 (* r (+ (* -1 (/ (+ q (* 1/2 p)) r)) (* 1/2 (pow (sqrt -1) 2)))))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* -1/2 (- (+ (fabs p) (fabs r)) p))) r)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* (sqrt r) (pow (sqrt -1) 2)))
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (+ (fabs p) (fabs r)))
(* 1/2 (+ p r))
(+ q (* 1/2 (+ p r)))
(+ (* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))) (/ (pow q 2) r))
q
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
(* q (+ 1 (* 1/2 (/ (+ p r) q))))
(* (pow q 2) (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) (* (pow q 2) r))) (+ (* 1/2 (/ 1 (pow q 2))) (/ 1 (pow r 2)))))
(* (pow q 2) (+ (/ 1 r) (/ (* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))) (pow q 2))))
(* (pow q 2) (+ (* 1/2 (/ 1 (pow q 2))) (/ 1 (pow r 2))))
(* -1 q)
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1/2 (/ (+ p r) q)) 1)))

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	r	@	-inf	((+ (+ r (fabs p)) (- r p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* 1/2 (+ (+ r (fabs p)) (- r p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ p r) 1/2) q) (+ p r) (* (+ (- r (- p p)) r) 1/2) (- r (- p p)) (- p p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (sqrt r) (sqrt r)) p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (* (sqrt r) (sqrt r)) p)) q) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (fabs p) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (+ (- r (- p p)) r) (sqrt r) (+ (* (/ q r) (/ q r)) 1/2))
5.0ms	p	@	0	((+ (+ r (fabs p)) (- r p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* 1/2 (+ (+ r (fabs p)) (- r p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ p r) 1/2) q) (+ p r) (* (+ (- r (- p p)) r) 1/2) (- r (- p p)) (- p p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (sqrt r) (sqrt r)) p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (* (sqrt r) (sqrt r)) p)) q) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (fabs p) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (+ (- r (- p p)) r) (sqrt r) (+ (* (/ q r) (/ q r)) 1/2))
4.0ms	r	@	0	((+ (+ r (fabs p)) (- r p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* 1/2 (+ (+ r (fabs p)) (- r p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ p r) 1/2) q) (+ p r) (* (+ (- r (- p p)) r) 1/2) (- r (- p p)) (- p p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (sqrt r) (sqrt r)) p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (* (sqrt r) (sqrt r)) p)) q) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (fabs p) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (+ (- r (- p p)) r) (sqrt r) (+ (* (/ q r) (/ q r)) 1/2))
2.0ms	r	@	inf	((+ (+ r (fabs p)) (- r p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* 1/2 (+ (+ r (fabs p)) (- r p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ p r) 1/2) q) (+ p r) (* (+ (- r (- p p)) r) 1/2) (- r (- p p)) (- p p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (sqrt r) (sqrt r)) p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (* (sqrt r) (sqrt r)) p)) q) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (fabs p) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (+ (- r (- p p)) r) (sqrt r) (+ (* (/ q r) (/ q r)) 1/2))
2.0ms	p	@	inf	((+ (+ r (fabs p)) (- r p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (* 1/2 (+ (+ r (fabs p)) (- r p))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* (+ p r) 1/2) q) (+ p r) (* (+ (- r (- p p)) r) 1/2) (- r (- p p)) (- p p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (sqrt r) (sqrt r)) p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (+ (* 1/2 (+ (* (sqrt r) (sqrt r)) p)) q) (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) r) (fabs p) (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (+ (- r (- p p)) r) (sqrt r) (+ (* (/ q r) (/ q r)) 1/2))

simplify201.0ms (2.5%)

Memory

34.0MiB live, 320.4MiB allocated; 71ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	458	2037
1	1540	1939
2	5931	1912
0	8030	1793

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 116

Calls

Call 1

Inputs
(+ (fabs p) (* 2 r))
(+ (fabs p) (+ (* -1 p) (* 2 r)))
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r))))
(+ (* -1/2 p) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))))
(* 1/2 (+ (fabs p) (* 2 r)))
(+ (* -1/2 p) (* 1/2 (+ (fabs p) (* 2 r))))
(+ q (* 1/2 (+ (fabs p) (fabs r))))
(+ q (* 1/2 r))
(+ q (+ (* 1/2 p) (* 1/2 r)))
r
(+ p r)
0
(+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2))))
(+ 1/2 (+ (* -1/2 (/ p r)) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2)))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2)))))
(+ (* -1/2 p) (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2))))))
(fabs p)
(* 2 r)
(* -1 p)
(* p (- (+ (* 2 (/ r p)) (/ (fabs p) p)) 1))
(* 1/2 p)
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))
(* -1/2 p)
(* p (- (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2))
(* p (- (* 1/2 (/ (+ (fabs p) (* 2 r)) p)) 1/2))
(* p (+ 1/2 (+ (* 1/2 (/ r p)) (/ q p))))
p
(* p (+ 1 (/ r p)))
(* -1/2 (/ p r))
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (+ (* 1/2 (/ 1 p)) (/ (pow q 2) (* p (pow r 2))))) (* 1/2 (/ 1 r))))
(* p (- (/ (* r (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) (/ (pow q 2) (pow r 2))))) p) 1/2))
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (* 2 r)) p)))))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p)))))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (* 2 r)) p)))))
(* -1 (* p (- (* -1 (/ (+ q (* 1/2 r)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ r p)) 1)))
(* -1 (* p (+ (* -1 (/ (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) (/ (pow q 2) (pow r 2)))) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) (/ (pow q 2) (pow r 2))))) p)))))
(- (fabs p) p)
(- (+ (fabs p) (* 2 r)) p)
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) p))
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))
(* 1/2 (- (fabs p) p))
(+ r (* 1/2 (- (fabs p) p)))
(+ q (* 1/2 p))
(/ (pow q 2) (pow r 2))
(/ (+ (* 1/2 (* r (- (+ (fabs p) (fabs r)) p))) (pow q 2)) (pow r 2))
(/ (+ (* r (+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))) (pow q 2)) (pow r 2))
(fabs r)
(/ (pow q 2) r)
(/ (+ (* 1/2 (* r (- (+ (fabs p) (fabs r)) p))) (pow q 2)) r)
(/ (+ (* r (+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))) (pow q 2)) r)
(sqrt r)
(/ (+ (* 1/2 (pow r 2)) (pow q 2)) (pow r 2))
(* r (- (+ 2 (/ (fabs p) r)) (/ p r)))
(* 1/2 r)
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))))))
(* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r))))
(* r (+ 1 (* 1/2 (/ (- (fabs p) p) r))))
(* r (+ 1/2 (+ (* 1/2 (/ p r)) (/ q r))))
(* r (+ 1 (/ p r)))
1/2
(+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))
(+ 1/2 (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) (/ (pow q 2) (pow r 2))))
(* r (+ 1/2 (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) (/ (pow q 2) (pow r 2)))))
(+ 1/2 (/ (pow q 2) (pow r 2)))
(* -1 (* r (- (* -1 (/ (- (fabs p) p) r)) 2)))
(* -1/2 r)
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1/2 (/ (- (fabs p) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ q (* 1/2 p)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ p r)) 1)))
(* -1 (* r (pow (sqrt -1) 2)))
(* -1 (* r (+ (* -1 (/ p r)) (pow (sqrt -1) 2))))
(* -1/2 (* r (pow (sqrt -1) 2)))
(* -1 (* r (+ (* -1 (/ (+ q (* 1/2 p)) r)) (* 1/2 (pow (sqrt -1) 2)))))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* -1/2 (- (+ (fabs p) (fabs r)) p))) r)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* (sqrt r) (pow (sqrt -1) 2)))
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* 1/2 (+ (fabs p) (fabs r)))
(* 1/2 (+ p r))
(+ q (* 1/2 (+ p r)))
(+ (* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))) (/ (pow q 2) r))
q
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
(* q (+ 1 (* 1/2 (/ (+ p r) q))))
(* (pow q 2) (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) (* (pow q 2) r))) (+ (* 1/2 (/ 1 (pow q 2))) (/ 1 (pow r 2)))))
(* (pow q 2) (+ (/ 1 r) (/ (* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))) (pow q 2))))
(* (pow q 2) (+ (* 1/2 (/ 1 (pow q 2))) (/ 1 (pow r 2))))
(* -1 q)
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1/2 (/ (+ p r) q)) 1)))

Outputs
(+ (fabs p) (* 2 r))
(fma.f64 #s(literal 2 binary64) r (fabs.f64 p))
(+ (fabs p) (+ (* -1 p) (* 2 r)))
(fma.f64 #s(literal 2 binary64) r (-.f64 (fabs.f64 p) p))
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
(.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (.f64 p r)) (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 (.f64 #s(literal 1/4 binary64) p) (-.f64 #s(literal 1 binary64) (.f64 r (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (.f64 #s(literal -1/2 binary64) r))) p (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))) (fma.f64 (.f64 #s(literal 1/4 binary64) p) (-.f64 #s(literal 1 binary64) (.f64 r (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))))) (.f64 #s(literal -1/2 binary64) r)) (.f64 (.f64 p #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)) #s(literal 3 binary64)))) (.f64 p r)) (-.f64 #s(literal 1 binary64) (.f64 r (/.f64 r (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r)))))))) p (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r))))
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)
(+ (* -1/2 p) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))))
(fma.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r (*.f64 #s(literal -1/2 binary64) p))
(* 1/2 (+ (fabs p) (* 2 r)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r)
(+ (* -1/2 p) (* 1/2 (+ (fabs p) (* 2 r))))
(fma.f64 #s(literal -1/2 binary64) p (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r))
(+ q (* 1/2 (+ (fabs p) (fabs r))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)
(+ q (* 1/2 r))
(fma.f64 #s(literal 1/2 binary64) r q)
(+ q (+ (* 1/2 p) (* 1/2 r)))
(fma.f64 (+.f64 p r) #s(literal 1/2 binary64) q)
r
(+ p r)
(+.f64 p r)
0
#s(literal 0 binary64)
(+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2))))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (*.f64 q q) r)) r) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ p r)) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2)))))
(+.f64 (/.f64 (fma.f64 q (/.f64 q r) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))) r) #s(literal 1/2 binary64))
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2)))))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (.f64 q q) r)) r) #s(literal 1/2 binary64)) r)
(+ (* -1/2 p) (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 2) (pow r 2))))))
(fma.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (.f64 q q) r)) r) #s(literal 1/2 binary64)) r (.f64 #s(literal -1/2 binary64) p))
(fabs p)
(fabs.f64 p)
(* 2 r)
(*.f64 #s(literal 2 binary64) r)
(* -1 p)
(neg.f64 p)
(* p (- (+ (* 2 (/ r p)) (/ (fabs p) p)) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) r (fabs.f64 p)) p) #s(literal 1 binary64)) p)
(* 1/2 p)
(*.f64 #s(literal 1/2 binary64) p)
(* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p)
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))
(.f64 (+.f64 (/.f64 (fma.f64 q (/.f64 q p) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64))) p) #s(literal 1/2 binary64)) p)
(* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))
(.f64 (+.f64 (/.f64 (/.f64 (fma.f64 q q (.f64 r (*.f64 q (/.f64 q p)))) p) p) (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) p)
(* -1/2 p)
(*.f64 #s(literal -1/2 binary64) p)
(* p (- (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2))
(.f64 (-.f64 (.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 r p)) #s(literal 1/2 binary64)) p)
(* p (- (* 1/2 (/ (+ (fabs p) (* 2 r)) p)) 1/2))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r) p) #s(literal 1/2 binary64)) p)
(* p (+ 1/2 (+ (* 1/2 (/ r p)) (/ q p))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) r q) p) #s(literal 1/2 binary64)) p)
p
(* p (+ 1 (/ r p)))
(fma.f64 (/.f64 r p) p p)
(* -1/2 (/ p r))
(*.f64 (/.f64 p r) #s(literal -1/2 binary64))
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (+ (* 1/2 (/ 1 p)) (/ (pow q 2) (* p (pow r 2))))) (* 1/2 (/ 1 r))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (.f64 q q) r)) r) #s(literal 1/2 binary64)) p) (/.f64 #s(literal 1/2 binary64) r)) p)
(* p (- (/ (* r (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) (/ (pow q 2) (pow r 2))))) p) 1/2))
(.f64 (-.f64 (.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (*.f64 q q) r)) r) #s(literal 1/2 binary64)) (/.f64 r p)) #s(literal 1/2 binary64)) p)
(* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (* 2 r)) p)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) r (fabs.f64 p)) p)) (neg.f64 p))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))
(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 p))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 q) q) p)) p)) (neg.f64 p))
(* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (fma.f64 q q (.f64 r (*.f64 q (/.f64 q p)))) (neg.f64 p))) p)) (neg.f64 p))
(* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 r p))) (neg.f64 p))
(* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (* 2 r)) p)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r) p)) (neg.f64 p))
(* -1 (* p (- (* -1 (/ (+ q (* 1/2 r)) p)) 1/2)))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) r (neg.f64 q)) p) #s(literal 1/2 binary64)) (neg.f64 p))
(* -1 (* p (- (* -1 (/ r p)) 1)))
(*.f64 (-.f64 (/.f64 r (neg.f64 p)) #s(literal 1 binary64)) (neg.f64 p))
(* -1 (* p (+ (* -1 (/ (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) (/ (pow q 2) (pow r 2)))) p)) (* 1/2 (/ 1 r)))))
(.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (.f64 q q) r)) r) #s(literal 1/2 binary64)) p) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) r)) (neg.f64 p))
(* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (+ (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) (/ (pow q 2) (pow r 2))))) p)))))
(.f64 (fma.f64 (neg.f64 r) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (.f64 q q) r)) r) #s(literal 1/2 binary64)) p) #s(literal 1/2 binary64)) (neg.f64 p))
(- (fabs p) p)
(-.f64 (fabs.f64 p) p)
(- (+ (fabs p) (* 2 r)) p)
(fma.f64 #s(literal 2 binary64) r (-.f64 (fabs.f64 p) p))
(* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))
(+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))
(.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (.f64 p r)) (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p))))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 (.f64 #s(literal 1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal -1/2 binary64) p))) r (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fma.f64 (.f64 #s(literal 1/4 binary64) r) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))))) (.f64 #s(literal -1/2 binary64) p)) (.f64 (.f64 r #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)) #s(literal 3 binary64)))) (.f64 p r)) (-.f64 #s(literal 1 binary64) (.f64 p (/.f64 p (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))))))) r (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
(* 1/2 (- (+ (fabs p) (fabs r)) p))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64))
(+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))
(*.f64 (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64))
(* 1/2 (- (fabs p) p))
(*.f64 (-.f64 (fabs.f64 p) p) #s(literal 1/2 binary64))
(+ r (* 1/2 (- (fabs p) p)))
(fma.f64 (-.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) r)
(+ q (* 1/2 p))
(fma.f64 #s(literal 1/2 binary64) p q)
(/ (pow q 2) (pow r 2))
(*.f64 (/.f64 q r) (/.f64 q r))
(/ (+ (* 1/2 (* r (- (+ (fabs p) (fabs r)) p))) (pow q 2)) (pow r 2))
(/.f64 (/.f64 (fma.f64 (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) (.f64 q q)) r) r)
(/ (+ (* r (+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))) (pow q 2)) (pow r 2))
(/.f64 (fma.f64 (.f64 (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64)) r (.f64 q q)) (*.f64 r r))
(fabs r)
(fabs.f64 r)
(/ (pow q 2) r)
(/.f64 (*.f64 q q) r)
(/ (+ (* 1/2 (* r (- (+ (fabs p) (fabs r)) p))) (pow q 2)) r)
(/.f64 (fma.f64 (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) (.f64 q q)) r)
(/ (+ (* r (+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))) (pow q 2)) r)
(/.f64 (fma.f64 (.f64 (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64)) r (.f64 q q)) r)
(sqrt r)
(sqrt.f64 r)
(/ (+ (* 1/2 (pow r 2)) (pow q 2)) (pow r 2))
(/.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) r) r (.f64 q q)) r) r)
(* r (- (+ 2 (/ (fabs p) r)) (/ p r)))
(*.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 p) p) r) #s(literal 2 binary64)) r)
(* 1/2 r)
(*.f64 #s(literal 1/2 binary64) r)
(* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))
(.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64) (/.f64 (.f64 q q) r)) r) #s(literal 1/2 binary64)) r)
(* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))))))
(.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (.f64 q q) r) p (*.f64 q q)) r) r)) r)
(* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r))))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)
(* r (+ 1 (* 1/2 (/ (- (fabs p) p) r))))
(*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 p) p) r) #s(literal 1/2 binary64) #s(literal 1 binary64)) r)
(* r (+ 1/2 (+ (* 1/2 (/ p r)) (/ q r))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) p q) r) #s(literal 1/2 binary64)) r)
(* r (+ 1 (/ p r)))
(fma.f64 (/.f64 p r) r r)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))
(fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) (/ (pow q 2) (pow r 2))))
(+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) r)) r) #s(literal 1/2 binary64))
(* r (+ 1/2 (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) (/ (pow q 2) (pow r 2)))))
(.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64) (/.f64 (.f64 q q) r)) r) #s(literal 1/2 binary64)) r)
(+ 1/2 (/ (pow q 2) (pow r 2)))
(fma.f64 (/.f64 q r) (/.f64 q r) #s(literal 1/2 binary64))
(* -1 (* r (- (* -1 (/ (- (fabs p) p) r)) 2)))
(*.f64 (neg.f64 r) (-.f64 (/.f64 (-.f64 (fabs.f64 p) p) (neg.f64 r)) #s(literal 2 binary64)))
(* -1/2 r)
(*.f64 #s(literal -1/2 binary64) r)
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(*.f64 (neg.f64 r) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(.f64 (neg.f64 r) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (.f64 (neg.f64 q) q) r)) r)))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(.f64 (neg.f64 r) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (.f64 q q) r) p (*.f64 q q)) (neg.f64 r))) r)))
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(.f64 (neg.f64 r) (-.f64 (.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(* -1 (* r (- (* -1/2 (/ (- (fabs p) p) r)) 1)))
(.f64 (neg.f64 r) (-.f64 (.f64 (/.f64 (-.f64 (fabs.f64 p) p) r) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* -1 (* r (- (* -1 (/ (+ q (* 1/2 p)) r)) 1/2)))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) p q) r) #s(literal 1/2 binary64)) r)
(* -1 (* r (- (* -1 (/ p r)) 1)))
(*.f64 (neg.f64 r) (-.f64 (/.f64 (neg.f64 p) r) #s(literal 1 binary64)))
(* -1 (* r (pow (sqrt -1) 2)))
r
(* -1 (* r (+ (* -1 (/ p r)) (pow (sqrt -1) 2))))
(fma.f64 (/.f64 p r) r r)
(* -1/2 (* r (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) r)
(* -1 (* r (+ (* -1 (/ (+ q (* 1/2 p)) r)) (* 1/2 (pow (sqrt -1) 2)))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) p q) r) #s(literal 1/2 binary64)) r)
(+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* -1/2 (- (+ (fabs p) (fabs r)) p))) r)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)) r))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(.f64 (neg.f64 r) (-.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64) (/.f64 (.f64 q q) r))) r) #s(literal 1/2 binary64)))
(* -1 (* (sqrt r) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 r) #s(literal 1 binary64))
(* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))
(*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))
(fma.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) (*.f64 q (/.f64 q (-.f64 p r))))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))
(fma.f64 (fma.f64 (.f64 q (/.f64 q (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 p r))) (.f64 q q) (*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(fma.f64 (pow.f64 q #s(literal 4 binary64)) (-.f64 (/.f64 (.f64 (.f64 q q) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) (fma.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) (*.f64 q (/.f64 q (-.f64 p r)))))
(* 1/2 (+ (fabs p) (fabs r)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))
(* 1/2 (+ p r))
(*.f64 (+.f64 p r) #s(literal 1/2 binary64))
(+ q (* 1/2 (+ p r)))
(fma.f64 (+.f64 p r) #s(literal 1/2 binary64) q)
(+ (* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))) (/ (pow q 2) r))
(fma.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r (/.f64 (*.f64 q q) r))
q
(* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q)
(* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) q) q q)
(* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/128 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) q)) q q)
(* q (+ 1 (* 1/2 (/ (+ p r) q))))
(*.f64 (fma.f64 (/.f64 (+.f64 p r) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q)
(* (pow q 2) (+ (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) (* (pow q 2) r))) (+ (* 1/2 (/ 1 (pow q 2))) (/ 1 (pow r 2)))))
(.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 q q)) (/.f64 (/.f64 #s(literal 1 binary64) r) r)) (*.f64 q q))
(* (pow q 2) (+ (/ 1 r) (/ (* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))) (pow q 2))))
(.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 r (.f64 q q)) (/.f64 #s(literal 1 binary64) r)) (*.f64 q q))
(* (pow q 2) (+ (* 1/2 (/ 1 (pow q 2))) (/ 1 (pow r 2))))
(.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) r) r) (/.f64 #s(literal 1/2 binary64) (.f64 q q))) (*.f64 q q))
(* -1 q)
(neg.f64 q)
(* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 q))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) q)) (neg.f64 q))
(* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) (neg.f64 q)) q q))
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(.f64 (-.f64 (.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1/2 (/ (+ p r) q)) 1)))
(.f64 (-.f64 (.f64 (/.f64 (+.f64 p r) q) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 q))

rewrite153.0ms (1.9%)

Memory

9.5MiB live, 247.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	434
0	91	391
1	428	379
2	3629	379
0	8317	366

Stop Event

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

Counts

25 → 534

Calls

Call 1

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

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

eval168.0ms (2%)

Memory: -14.7MiB live, 240.0MiB allocated; 52ms collecting garbage
Compiler: Compiled 31 185 to 2 908 computations (90.7% saved)

prune61.0ms (0.7%)

Memory

-7.5MiB live, 85.4MiB allocated; 5ms collecting garbage

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	569	8	577
Fresh	5	7	12
Picked	4	1	5
Done	1	3	4
Total	579	19	598

Accuracy

99.9%

Counts

598 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (+.f64 r p)))
	55.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 p) r) p) r) #s(literal 1/2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) r (*.f64 #s(literal 1/2 binary64) r)))
	36.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (/.f64 (+.f64 p r) q) (*.f64 q #s(literal 1/2 binary64)) q))
	37.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	26.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 #s(approx (+ (sqrt (+ ( (* q q) 4) (* p p))) r) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (.f64 p p)))) (fabs.f64 p)) #s(literal 1/2 binary64)))
	55.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (- (fabs r) (- p (fabs p))) r) 1/2) (+ (* (/ q r) (/ q r)) 1/2)) (+.f64 (/.f64 (fma.f64 q (/.f64 q r) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))) r) #s(literal 1/2 binary64))) r))
✓	9.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	7.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
✓	26.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 r) (sqrt.f64 r) p) q)))
	44.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q)))
	39.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt r) (sqrt r)) p) r) q)))
	38.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q)))
	38.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (.f64 (+.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64))) #s(literal 1 binary64)) q)))
	39.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 (+.f64 (.f64 (sqrt.f64 r) (sqrt.f64 r)) r) #s(literal 1/2 binary64))))
	40.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (+.f64 r r) #s(literal 1/2 binary64))))
	31.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ r (fabs p)) (- r p)) (-.f64 (fabs.f64 p) p)))))
	69.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r p))) (fma.f64 (-.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) r))))
	45.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r p))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r))))

Compiler

Compiled 2 583 to 829 computations (67.9% saved)

regimes90.0ms (1.1%)

Memory

20.8MiB live, 120.2MiB allocated; 5ms collecting garbage

Counts

39 → 2

Calls

Call 1

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

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

Calls

7 calls:

22.0ms	r
19.0ms	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
10.0ms	q
10.0ms	p
9.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Results

Accuracy	Segments	Branch
85.8%	2	`(pow.f64 q #s(literal 2 binary64))`
85.8%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
79.5%	2	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
79.5%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
79.2%	5	`p`
72.8%	3	`r`
85.8%	2	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes53.0ms (0.6%)

Memory

-40.9MiB live, 53.1MiB allocated; 3ms collecting garbage

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

20.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
9.0ms	q
8.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
85.8%	2	`q`
85.8%	2	`(pow.f64 q #s(literal 2 binary64))`
85.8%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes26.0ms (0.3%)

Memory

41.0MiB live, 41.0MiB allocated; 0ms collecting garbage

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

9.0ms	q
8.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
8.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
85.8%	2	`q`
85.8%	2	`(pow.f64 q #s(literal 2 binary64))`
85.8%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes41.0ms (0.5%)

Memory

-17.1MiB live, 30.5MiB allocated; 1ms collecting garbage

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

30.0ms	q
5.0ms	(pow.f64 q #s(literal 2 binary64))
4.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
85.8%	2	`(pow.f64 q #s(literal 2 binary64))`
85.8%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
85.8%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes9.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
85.2%	2	`(pow.f64 q #s(literal 2 binary64))`
85.2%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
85.2%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes36.0ms (0.4%)

Memory

-15.7MiB live, 34.6MiB allocated; 2ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
67.3%	3	`r`
69.6%	3	`p`
46.6%	2	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
46.6%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
63.4%	2	`(pow.f64 q #s(literal 2 binary64))`
63.4%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
63.4%	2	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes28.0ms (0.3%)

Memory

-24.6MiB live, 23.1MiB allocated; 1ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

17.0ms	(pow.f64 q #s(literal 2 binary64))
3.0ms	r
3.0ms	q
3.0ms	p
2.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
63.4%	2	`(pow.f64 q #s(literal 2 binary64))`
63.4%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
63.4%	2	`q`
60.5%	2	`r`
51.5%	2	`p`

Compiler

Compiled 11 to 21 computations (-90.9% saved)

regimes14.0ms (0.2%)

Memory

24.8MiB live, 24.8MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
39.4%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
39.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
39.4%	1	`p`
39.4%	1	`r`
39.4%	1	`(pow.f64 q #s(literal 2 binary64))`
39.4%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
39.4%	1	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes17.0ms (0.2%)

Memory

-24.3MiB live, 23.3MiB allocated; 1ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
9.4%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
9.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
13.5%	2	`r`
13.5%	2	`p`
9.4%	1	`(pow.f64 q #s(literal 2 binary64))`
9.4%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
9.4%	1	`q`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes10.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
7.9%	1	`(pow.f64 q #s(literal 2 binary64))`
7.9%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
7.9%	1	`q`
7.9%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
7.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
7.9%	1	`p`
7.9%	1	`r`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes8.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5812291670556804e+264	4.1618600476572125e+266

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5812291670556804e+264	4.1618600476572125e+266

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5812291670556804e+264	4.1618600476572125e+266

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch23.0ms (0.3%)

Memory

-22.4MiB live, 25.2MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	6.287346751722225e+131	1.0200318680876118e+133

Samples

15.0ms

112×

valid

Compiler

Compiled 732 to 500 computations (31.7% saved)

Precisions

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

ival-pow2: 2.0ms (25.6% of total)

ival-div: 1.0ms (12.8% of total)

ival-add: 1.0ms (12.8% of total)

ival-mult: 1.0ms (12.8% of total)

ival-fabs: 1.0ms (12.8% of total)

ival-sub: 1.0ms (12.8% of total)

ival-sqrt: 1.0ms (12.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.287346751722225e+131	1.0200318680876118e+133

Compiler

Compiled 767 to 514 computations (33% saved)

bsearch99.0ms (1.2%)

Memory

-41.9MiB live, 55.7MiB allocated; 47ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
76.0ms	-1.567591685905871e-266	-1.0185699760964944e-269
18.0ms	-7.07740914601258e+100	-6.270156251485605e+96

Samples

82.0ms

256×

valid

Compiler

Compiled 1 593 to 1 088 computations (31.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-pow2: 4.0ms (22.9% of total)

ival-add: 3.0ms (17.1% of total)

ival-mult: 3.0ms (17.1% of total)

ival-div: 2.0ms (11.4% of total)

ival-fabs: 2.0ms (11.4% of total)

ival-sub: 1.0ms (5.7% of total)

ival-sqrt: 1.0ms (5.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch47.0ms (0.6%)

Memory

-29.5MiB live, 18.0MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.2221024769956009e+101	3.304299203807543e+101

Samples

8.0ms

80×

valid

Compiler

Compiled 545 to 369 computations (32.3% saved)

Precisions

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

ival-div: 1.0ms (18.2% of total)

ival-add: 1.0ms (18.2% of total)

ival-mult: 1.0ms (18.2% of total)

ival-fabs: 1.0ms (18.2% of total)

ival-pow2: 1.0ms (18.2% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.4668080740762586e-147	1.5001382221618909e-146

Samples

8.0ms

80×

valid

Compiler

Compiled 285 to 244 computations (14.4% saved)

Precisions

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

ival-div: 1.0ms (18.2% of total)

ival-add: 1.0ms (18.2% of total)

ival-mult: 1.0ms (18.2% of total)

ival-fabs: 1.0ms (18.2% of total)

ival-pow2: 1.0ms (18.2% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

exact: 0.0ms (0% of total)

simplify60.0ms (0.7%)

Memory

7.4MiB live, 54.9MiB allocated; 1ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	923
1	216	887
2	544	871
3	1549	871
4	4039	871

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (.f64 (+.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64))) #s(literal 1 binary64)) q))))
(if (<=.f64 (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q))))
(if (<=.f64 (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q))))
(if (<=.f64 q #s(literal 6900000000000000456830496868699933891520930386774848119742794733115813163410110425830723628270316906218570111394113339449916761571328 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r p))) (fma.f64 (-.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q))))
(if (<=.f64 q #s(literal 6900000000000000456830496868699933891520930386774848119742794733115813163410110425830723628270316906218570111394113339449916761571328 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r p))) (fma.f64 (-.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt r) (sqrt r)) p) r) q))))
(if (<=.f64 p #s(literal -699999999999999952851957010060070505201399394770602498012487757478163076497554382089814342853722112 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ r (fabs p)) (- r p)) (-.f64 (fabs.f64 p) p))))) (if (<=.f64 p #s(literal -6245471015606689/594806763391113225119224999259960224052504080663757783622308743726376262864161749418067325798462540235919489516077189220181834098217962283116332232440957850313188336178983949577074563933719094748095678312940574882427099482751152035262839576139463233204818042181657565129506139525873664 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt r) (sqrt r)) p) r) q))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (+.f64 r r) #s(literal 1/2 binary64))))))
(if (<=.f64 q #s(literal 126000000000000007054703399616645258291947145646859702781502508763185523784059066687400863355337965568 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r p))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt r) (sqrt r)) p) r) q))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt r) (sqrt r)) p) r) q)))
(if (<=.f64 r #s(literal 6748370691814795/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1/2 binary64) p)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Outputs
(if (<=.f64 (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (.f64 (+.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64))) #s(literal 1 binary64)) q))))
(if (<=.f64 (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (+ (sqrt (+ (* (* q q) 4) (* p p))) (fabs r)) (fabs p)) 1/2) (.f64 (fma.f64 (.f64 (/.f64 p q) (/.f64 p q)) #s(literal 1/8 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) q))))
(if (<=.f64 (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 p)) (-.f64 (fabs.f64 r) p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q))))
(if (<=.f64 q #s(literal 6900000000000000456830496868699933891520930386774848119742794733115813163410110425830723628270316906218570111394113339449916761571328 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r p))) (fma.f64 (-.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 r (fabs.f64 p)) q))))
(if (<=.f64 q #s(literal 6900000000000000456830496868699933891520930386774848119742794733115813163410110425830723628270316906218570111394113339449916761571328 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r p))) (fma.f64 (-.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt r) (sqrt r)) p) r) q))))
(if (<=.f64 p #s(literal -699999999999999952851957010060070505201399394770602498012487757478163076497554382089814342853722112 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ r (fabs p)) (- r p)) (-.f64 (fabs.f64 p) p))))) (if (<=.f64 p #s(literal -6245471015606689/594806763391113225119224999259960224052504080663757783622308743726376262864161749418067325798462540235919489516077189220181834098217962283116332232440957850313188336178983949577074563933719094748095678312940574882427099482751152035262839576139463233204818042181657565129506139525873664 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt r) (sqrt r)) p) r) q))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) (*.f64 (+.f64 r r) #s(literal 1/2 binary64))))))
(if (<=.f64 q #s(literal 126000000000000007054703399616645258291947145646859702781502508763185523784059066687400863355337965568 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (fabs r) (- p (fabs p))) r) 1/2) 1/2) r) #s(approx (* 1/2 (+ (+ r (fabs p)) (- r p))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) r)))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt r) (sqrt r)) p) r) q))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* q 1/2) (/ (+ (fabs r) (fabs p)) q)) q) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt r) (sqrt r)) p) r) q)))
(if (<=.f64 r #s(literal 6748370691814795/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1/2 binary64) p)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

derivations1.2s (15.1%)

Memory

-0.1MiB live, 1 095.4MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	434
0	91	391
1	428	379
2	3629	379
0	8317	366
0	576	3228
1	2113	3014
0	8685	2798
0	834	4430
1	3053	4427
0	8077	4168
0	458	2037
1	1540	1939
2	5931	1912
0	8030	1793
0	620	3080
1	2230	2975
0	8509	2778
0	64	401
0	87	401
1	397	401
2	3316	351
0	12700	342

Stop Event

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

Compiler

Compiled 979 to 127 computations (87% saved)

preprocess74.0ms (0.9%)

Memory: 4.0MiB live, 193.3MiB allocated; 9ms collecting garbage
Compiler: Compiled 2 490 to 534 computations (78.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (20.2%)

explain327.0ms (4%)

preprocess145.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify39.0ms (0.5%)

localize51.0ms (0.6%)

series20.0ms (0.2%)

simplify182.0ms (2.2%)

rewrite204.0ms (2.5%)

eval57.0ms (0.7%)

prune43.0ms (0.5%)

simplify205.0ms (2.5%)

localize134.0ms (1.6%)

series45.0ms (0.5%)

simplify159.0ms (1.9%)

rewrite222.0ms (2.7%)

eval65.0ms (0.8%)

prune33.0ms (0.4%)

simplify136.0ms (1.7%)

localize165.0ms (2%)

series29.0ms (0.4%)

simplify154.0ms (1.9%)

rewrite1.2s (14.4%)

eval111.0ms (1.4%)

prune48.0ms (0.6%)

simplify134.0ms (1.6%)

localize147.0ms (1.8%)

series35.0ms (0.4%)

simplify201.0ms (2.5%)

rewrite153.0ms (1.9%)

eval168.0ms (2%)

prune61.0ms (0.7%)

regimes90.0ms (1.1%)

regimes53.0ms (0.6%)

regimes26.0ms (0.3%)

regimes41.0ms (0.5%)

regimes9.0ms (0.1%)

regimes36.0ms (0.4%)

regimes28.0ms (0.3%)

regimes14.0ms (0.2%)

regimes17.0ms (0.2%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch23.0ms (0.3%)

bsearch2.0ms (0%)

bsearch99.0ms (1.2%)

bsearch47.0ms (0.6%)

bsearch13.0ms (0.2%)

simplify60.0ms (0.7%)

derivations1.2s (15.1%)

preprocess74.0ms (0.9%)

end0.0ms (0%)

Profiling