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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample1.9s (29.6%)

Memory

-137.1MiB live, 2 414.4MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-div: 301.0ms (25.1% of total)

ival-mult: 219.0ms (18.3% of total)

ival-pow2: 171.0ms (14.3% of total)

ival-add: 164.0ms (13.7% of total)

ival-sqrt: 157.0ms (13.1% of total)

ival-fabs: 90.0ms (7.5% of total)

ival-sub: 74.0ms (6.2% of total)

exact: 12.0ms (1% of total)

ival-true: 6.0ms (0.5% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain377.0ms (5.9%)

Memory

0.0MiB live, 737.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
148	-	1	(-1.3464920619365217e-171 -1.5688911978237988e-176 1.0912660021744266e-159)	`(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	142	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	overflow	142
↳	`(pow.f64 q #s(literal 2 binary64))`	overflow	64
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	overflow	102
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	overflow	64
`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	5	0
↳	`(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))`	underflow	5
↳	`(pow.f64 q #s(literal 2 binary64))`	underflow	74
↳	`(pow.f64 (-.f64 p r) #s(literal 2 binary64))`	underflow	24
↳	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`	underflow	74

Confusion

	Predicted +	Predicted -
+	147	1
-	0	108

Precision

1.0

Recall

0.9932432432432432

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	147	0	1
-	0	0	108

Precision?

1.0

Recall?

0.9932432432432432

Freqs

test

number	freq
0	109
1	147

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

77.0ms

512×

valid

Compiler

Compiled 414 to 134 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-pow2: 15.0ms (30% of total)

ival-mult: 11.0ms (22% of total)

ival-add: 7.0ms (14% of total)

ival-fabs: 5.0ms (10% of total)

ival-sqrt: 4.0ms (8% of total)

ival-div: 3.0ms (6% of total)

ival-sub: 3.0ms (6% of total)

ival-true: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

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

preprocess175.0ms (2.7%)

Memory

23.6MiB live, 182.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs q)

(sort p r)

Compiler

Compiled 22 to 18 computations (18.2% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Status

Accuracy

Program

▶

46.6%

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify130.0ms (2%)

Memory

-4.6MiB live, 75.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize55.0ms (0.9%)

Memory

-7.3MiB live, 70.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
accuracy	0.014003759768442016	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy	0.015625	(pow.f64 (-.f64 p r) #s(literal 2 binary64))
accuracy	34.23891704457064	(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))

Samples

31.0ms

256×

valid

Compiler

Compiled 196 to 38 computations (80.6% saved)

Precisions

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

ival-pow2: 5.0ms (24.7% of total)

ival-fabs: 4.0ms (19.7% of total)

ival-add: 3.0ms (14.8% of total)

ival-mult: 3.0ms (14.8% of total)

ival-div: 2.0ms (9.9% of total)

ival-sqrt: 2.0ms (9.9% of total)

ival-sub: 1.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.6%)

Memory

-7.3MiB live, 31.8MiB allocated

Counts

8 → 129

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	q	@	0	((pow q 2) (/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2) (* 4 (pow q 2)) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))))
2.0ms	r	@	0	((pow q 2) (/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2) (* 4 (pow q 2)) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))))
2.0ms	p	@	0	((pow q 2) (/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2) (* 4 (pow q 2)) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))))
2.0ms	q	@	inf	((pow q 2) (/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2) (* 4 (pow q 2)) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))))
2.0ms	r	@	inf	((pow q 2) (/ 1 2) (+ (pow (- p r) 2) (* 4 (pow q 2))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2) (* 4 (pow q 2)) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))))

simplify223.0ms (3.5%)

Memory

1.1MiB live, 251.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	576	3249
1	1850	3049
2	6384	3039
0	8309	2819

Stop Event

1×	iter limit
1×	node limit

Counts

129 → 126

Calls

Call 1

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

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

rewrite196.0ms (3%)

Memory

-8.7MiB live, 381.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	31	75
1	114	75
2	838	75
0	8595	71

Stop Event

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

Counts

8 → 384

Calls

Call 1

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

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

eval145.0ms (2.3%)

Memory: 15.0MiB live, 222.3MiB allocated
Compiler: Compiled 21 518 to 2 369 computations (89% saved)

prune14.0ms (0.2%)

Memory

13.2MiB live, 51.3MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	500	8	508
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	501	8	509

Accuracy

99.6%

Counts

509 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
	39.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (neg.f64 p))))
▶	58.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
▶	43.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
▶	57.2%	#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))))
▶	8.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	8.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	1.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 476 to 374 computations (21.4% saved)

simplify102.0ms (1.6%)

Memory

-10.6MiB live, 186.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	313
0	63	313
1	125	313
2	254	313
3	602	313
4	1750	299
5	5796	293
0	8046	286

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (1.9%)

Memory

-26.4MiB live, 235.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.01953125	(/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p)
accuracy	7.356395860216319	(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy	21.28263979467963	#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))))
accuracy	0.02734375	(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)
accuracy	0.19702557691120384	(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	15.006014683626157	(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q)
accuracy	33.949773871997536	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
accuracy	0	(*.f64 #s(literal 1/2 binary64) r)
accuracy	58.531004635274435	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
accuracy	0	(neg.f64 q)
accuracy	63.15037803582881	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
accuracy	0.02734375	(/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r)
accuracy	0.02734375	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p)
accuracy	6.143628367557286	(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)
accuracy	21.28263979467963	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))

Samples

74.0ms

256×

valid

Compiler

Compiled 603 to 85 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 14.0ms (28.9% of total)

ival-add: 11.0ms (22.7% of total)

ival-div: 7.0ms (14.5% of total)

ival-pow2: 7.0ms (14.5% of total)

ival-fabs: 2.0ms (4.1% of total)

ival-sub: 2.0ms (4.1% of total)

ival-sqrt: 2.0ms (4.1% of total)

ival-neg: 2.0ms (4.1% of total)

exact: 1.0ms (2.1% of total)

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

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

series32.0ms (0.5%)

Memory

-7.4MiB live, 67.7MiB allocated

Counts

18 → 94

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	p	@	inf	((* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) (/ (- (+ (fabs r) (fabs p)) p) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2) (- (+ (fabs r) (fabs p)) p) (/ (+ (+ r (fabs r)) (fabs p)) p))
4.0ms	r	@	-inf	((* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) (/ (- (+ (fabs r) (fabs p)) p) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2) (- (+ (fabs r) (fabs p)) p) (/ (+ (+ r (fabs r)) (fabs p)) p))
3.0ms	r	@	inf	((* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) (/ (- (+ (fabs r) (fabs p)) p) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2) (- (+ (fabs r) (fabs p)) p) (/ (+ (+ r (fabs r)) (fabs p)) p))
3.0ms	p	@	-inf	((* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) (/ (- (+ (fabs r) (fabs p)) p) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2) (- (+ (fabs r) (fabs p)) p) (/ (+ (+ r (fabs r)) (fabs p)) p))
3.0ms	p	@	0	((* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) (/ (- (+ (fabs r) (fabs p)) p) r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2) (- (+ (fabs r) (fabs p)) p) (/ (+ (+ r (fabs r)) (fabs p)) p))

simplify219.0ms (3.4%)

Memory

2.7MiB live, 279.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	1755
1	1112	1688
2	3624	1640
0	8086	1548

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 93

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

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

rewrite245.0ms (3.8%)

Memory

9.8MiB live, 326.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	265
0	63	265
1	282	265
2	2310	265
0	10091	260

Stop Event

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

Counts

18 → 345

Calls

Call 1

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

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

eval65.0ms (1%)

Memory: 12.7MiB live, 163.8MiB allocated
Compiler: Compiled 22 054 to 2 257 computations (89.8% saved)

prune15.0ms (0.2%)

Memory

3.9MiB live, 42.4MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	427	6	433
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	432	9	441

Accuracy

99.6%

Counts

441 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
✓	8.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	8.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	1.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
▶	66.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64))))
	39.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64))))
▶	47.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
▶	14.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
	40.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64))))

Compiler

Compiled 651 to 465 computations (28.6% saved)

simplify152.0ms (2.4%)

Memory

-2.9MiB live, 193.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	376
0	62	376
1	120	376
2	239	376
3	487	376
4	1086	348
5	3014	348
6	5893	348
0	8150	340

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1.7%)

Memory

29.3MiB live, 186.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 r)
accuracy	0	(fabs.f64 p)
accuracy	0	#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))
accuracy	33.949773871997536	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
accuracy	0	(fabs.f64 r)
accuracy	0	(fabs.f64 p)
accuracy	21.454407738797027	#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))
accuracy	33.949773871997536	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
accuracy	15.006014683626157	(.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q)
accuracy	33.949773871997536	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
accuracy	40.14396525108929	#s(approx (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64))
accuracy	0	(*.f64 #s(literal -1/2 binary64) p)
accuracy	58.61398995372514	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
accuracy	0	(fabs.f64 p)
accuracy	0	#s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64)))
accuracy	0.01953125	(-.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p)
accuracy	21.28263979467963	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64))))

Samples

75.0ms

256×

valid

Compiler

Compiled 649 to 91 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-sqrt: 14.0ms (25.5% of total)

ival-mult: 13.0ms (23.7% of total)

ival-add: 10.0ms (18.2% of total)

ival-div: 5.0ms (9.1% of total)

ival-pow2: 5.0ms (9.1% of total)

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

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

exact: 1.0ms (1.8% of total)

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

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

series29.0ms (0.4%)

Memory

-23.8MiB live, 33.1MiB allocated

Counts

18 → 67

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	p	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (- (+ (+ (fabs r) r) (fabs p)) p) 1/2) (- (+ (+ (fabs r) r) (fabs p)) p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (fabs p) (fabs r))
7.0ms	p	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (- (+ (+ (fabs r) r) (fabs p)) p) 1/2) (- (+ (+ (fabs r) r) (fabs p)) p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (fabs p) (fabs r))
2.0ms	r	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (- (+ (+ (fabs r) r) (fabs p)) p) 1/2) (- (+ (+ (fabs r) r) (fabs p)) p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (fabs p) (fabs r))
2.0ms	p	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (- (+ (+ (fabs r) r) (fabs p)) p) 1/2) (- (+ (+ (fabs r) r) (fabs p)) p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (fabs p) (fabs r))
2.0ms	r	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (* (- (+ (+ (fabs r) r) (fabs p)) p) 1/2) (- (+ (+ (fabs r) r) (fabs p)) p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* 1/2 (+ (fabs r) (fabs p))) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* 1/2 (+ (fabs r) (fabs p))) q) (fabs p) (fabs r))

simplify169.0ms (2.6%)

Memory

9.3MiB live, 320.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	303	1354
1	908	1294
2	2976	1257
3	7986	1257
0	8267	1181

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 65

Calls

Call 1

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

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

rewrite166.0ms (2.6%)

Memory

-11.0MiB live, 181.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	338
0	62	338
1	284	338
2	2373	338
0	10174	324

Stop Event

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

Counts

18 → 176

Calls

Call 1

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

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

eval36.0ms (0.6%)

Memory: 2.7MiB live, 40.1MiB allocated
Compiler: Compiled 16 927 to 1 411 computations (91.7% saved)

prune9.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	293	1	294
Fresh	1	1	2
Picked	0	5	5
Done	0	2	2
Total	294	9	303

Accuracy

99.6%

Counts

303 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
✓	8.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	8.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	1.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
✓	66.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64))))
▶	39.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64))))
▶	40.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 #s(approx (- (+ (+ (fabs r) r) (fabs p)) p) (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p))) #s(literal 1/2 binary64))))
✓	47.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
✓	14.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))))

Compiler

Compiled 360 to 255 computations (29.2% saved)

simplify144.0ms (2.2%)

Memory

-16.5MiB live, 150.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	244
0	50	244
1	92	244
2	182	244
3	390	244
4	831	236
5	2456	228
6	5862	228
0	8308	226

Stop Event

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

Calls

Call 1

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

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

localize78.0ms (1.2%)

Memory

5.4MiB live, 124.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 p)
accuracy	0.02734375	(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p)
accuracy	21.28263979467963	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64))))
accuracy	27.5149242652783	#s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64)))
accuracy	0	(fabs.f64 p)
accuracy	0	#s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 #s(approx (- (+ (+ (fabs r) r) (fabs p)) p) (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p))) #s(literal 1/2 binary64)))
accuracy	21.28263979467963	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 #s(approx (- (+ (+ (fabs r) r) (fabs p)) p) (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p))) #s(literal 1/2 binary64))))
accuracy	26.2491597393143	#s(approx (- (+ (+ (fabs r) r) (fabs p)) p) (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)))

Samples

48.0ms

256×

valid

Compiler

Compiled 390 to 74 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 9.0ms (25% of total)

ival-add: 8.0ms (22.3% of total)

ival-div: 7.0ms (19.5% of total)

ival-pow2: 5.0ms (13.9% of total)

ival-sub: 3.0ms (8.3% of total)

ival-fabs: 2.0ms (5.6% of total)

ival-sqrt: 2.0ms (5.6% of total)

exact: 1.0ms (2.8% of total)

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

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

series8.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

9 → 66

Calls

Call 1

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

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

Calls

9 calls:

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

simplify174.0ms (2.7%)

Memory

-4.6MiB live, 187.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	313	1370
1	945	1309
2	3103	1267
0	8163	1193

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 64

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

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

rewrite161.0ms (2.5%)

Memory

8.6MiB live, 174.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	216
0	50	216
1	226	216
2	1912	216
0	9040	210

Stop Event

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

Counts

9 → 62

Calls

Call 1

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

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

eval66.0ms (1%)

Memory: -42.0MiB live, 90.2MiB allocated
Compiler: Compiled 7 224 to 681 computations (90.6% saved)

prune17.0ms (0.3%)

Memory

4.5MiB live, 40.7MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	130	9	139

Accuracy

99.6%

Counts

139 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
✓	8.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	8.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	1.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
✓	66.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64))))
✓	39.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64))))
✓	40.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (*.f64 #s(approx (- (+ (+ (fabs r) r) (fabs p)) p) (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p))) #s(literal 1/2 binary64))))
✓	47.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
✓	14.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))))

Compiler

Compiled 952 to 367 computations (61.4% saved)

regimes43.0ms (0.7%)

Memory

9.4MiB live, 92.8MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

9.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
5.0ms	r
5.0ms	q
5.0ms	p
5.0ms	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))

Results

Accuracy	Segments	Branch
75.7%	4	`p`
74.4%	3	`r`
84.8%	2	`q`
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)))))))`
79.5%	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))))))`
84.8%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
84.8%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes26.0ms (0.4%)

Memory

15.7MiB live, 54.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

5.0ms	q
3.0ms	r
3.0ms	p
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
3.0ms	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))

Results

Accuracy	Segments	Branch
66.5%	3	`p`
69.5%	3	`r`
47.0%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
47.0%	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))))))`
65.4%	3	`q`
65.4%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
65.4%	3	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes20.0ms (0.3%)

Memory

-29.6MiB live, 45.1MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

5.0ms	r
5.0ms	q
3.0ms	p
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
63.5%	2	`q`
63.5%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
63.5%	2	`(pow.f64 q #s(literal 2 binary64))`
53.2%	2	`p`
63.0%	2	`r`

Compiler

Compiled 11 to 21 computations (-90.9% saved)

regimes24.0ms (0.4%)

Memory

-0.5MiB live, 39.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

8.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
3.0ms	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
3.0ms	q
3.0ms	r
3.0ms	p

Results

Accuracy	Segments	Branch
47.0%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
47.0%	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))))))`
47.0%	1	`p`
47.0%	1	`r`
47.0%	1	`q`
47.0%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
47.0%	1	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes17.0ms (0.3%)

Memory

30.3MiB live, 30.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

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))))))
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	q
2.0ms	r
2.0ms	p

Results

Accuracy	Segments	Branch
37.1%	1	`p`
39.4%	2	`r`
41.1%	2	`q`
41.1%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
41.1%	2	`(pow.f64 q #s(literal 2 binary64))`
37.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
37.1%	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))))))`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes11.0ms (0.2%)

Memory

-2.7MiB live, 35.5MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

4.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
2.0ms	q
2.0ms	r
2.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
39.4%	2	`r`
38.9%	2	`q`
38.7%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
38.7%	2	`(pow.f64 q #s(literal 2 binary64))`

Compiler

Compiled 10 to 18 computations (-80% saved)

regimes17.0ms (0.3%)

Memory

3.8MiB live, 40.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

7 calls:

5.0ms	(pow.f64 q #s(literal 2 binary64))
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
2.0ms	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
2.0ms	r
2.0ms	p

Results

Accuracy	Segments	Branch
8.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
8.5%	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))))))`
12.5%	2	`p`
8.5%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
8.5%	1	`(pow.f64 q #s(literal 2 binary64))`
8.5%	1	`q`
13.0%	2	`r`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes13.0ms (0.2%)

Memory

4.8MiB live, 43.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes11.0ms (0.2%)

Memory

-20.3MiB live, 25.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
1.3%	1	`q`
1.3%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
1.3%	1	`(pow.f64 q #s(literal 2 binary64))`
1.3%	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)))))))`
1.3%	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))))))`
1.3%	1	`r`
1.3%	1	`p`

Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0663988317836729e+136	5.437416996348368e+137

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch49.0ms (0.8%)

Memory

11.6MiB live, 85.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.366438267329784e+25	2.4544072791969396e+35
20.0ms	2.0994383496861408e-289	6.516158139545831e-286

Samples

31.0ms

288×

valid

Compiler

Compiled 1 709 to 1 232 computations (27.9% saved)

Precisions

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

ival-mult: 6.0ms (26% of total)

ival-pow2: 5.0ms (21.7% of total)

ival-add: 4.0ms (17.3% of total)

ival-fabs: 3.0ms (13% of total)

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

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

ival-sub: 1.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5781740582138571e+94	2.711876456477457e+97

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.816302501066126e-281	1.4202485084128092e-276

Compiler

Compiled 25 to 25 computations (0% saved)

bsearch21.0ms (0.3%)

Memory

-7.8MiB live, 30.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.748626424958418e+181	3.302312536682275e+186

Samples

14.0ms

128×

valid

Compiler

Compiled 537 to 424 computations (21% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-pow2: 4.0ms (37.9% of total)

ival-add: 2.0ms (18.9% of total)

ival-div: 1.0ms (9.5% of total)

ival-mult: 1.0ms (9.5% of total)

ival-fabs: 1.0ms (9.5% of total)

ival-sub: 1.0ms (9.5% of total)

ival-sqrt: 1.0ms (9.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory

-19.8MiB live, 27.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.7700737643269076e-67	3.5618768367630716e-67

Samples

5.0ms

48×

valid

Compiler

Compiled 181 to 156 computations (13.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 1.0ms (28.6% of total)

ival-mult: 1.0ms (28.6% of total)

ival-pow2: 1.0ms (28.6% of total)

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

ival-fabs: 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)

simplify27.0ms (0.4%)

Memory

3.7MiB live, 42.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	627
1	109	627
2	115	627
3	118	627
4	119	627

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))))
(if (<=.f64 r #s(literal 8229186103190533/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64)))) (if (<=.f64 r #s(literal 99999999999999996863366107917975552 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64))))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2043740476963553/20437404769635530871361256581497226916530700906859085224986083762557049772738192033637969566644589579154866655684531151298277765001150399085969119214436673744076858091019117327539586267590276988750370373064129781691707499060437712782221877948907972172872918086407741866417750991158722661661540352 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q)))
(if (<=.f64 r #s(literal 184999999999999987171643351647738061275087954223520367431901013007670936032433684767193727789266012232837324181070428742469349231533002588931592422465712307694354934725795282036268728320 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)))
(if (<=.f64 r #s(literal 331999078261233/948568795032094272909893509191171341133987714380927500611236528192824358010355712 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 (pow.f64 q #s(literal 2 binary64)) #s(literal 20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (.f64 (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) r)) p) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))
(if (<=.f64 r #s(literal 8229186103190533/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64)))) (if (<=.f64 r #s(literal 99999999999999996863366107917975552 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64))))))
(if (<=.f64 r #s(literal 8229186103190533/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (- (+ (fabs r) (fabs p)) p) r) 1/2) 1/2) r) (.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal 1/2 binary64)))) (if (<=.f64 r #s(literal 99999999999999996863366107917975552 binary64)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)) q))) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (*.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64))))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs r)) (fabs p)) p) -1/2) 1/2)) (.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2043740476963553/20437404769635530871361256581497226916530700906859085224986083762557049772738192033637969566644589579154866655684531151298277765001150399085969119214436673744076858091019117327539586267590276988750370373064129781691707499060437712782221877948907972172872918086407741866417750991158722661661540352 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q)))
(if (<=.f64 (pow.f64 q #s(literal 2 binary64)) #s(literal 2043740476963553/20437404769635530871361256581497226916530700906859085224986083762557049772738192033637969566644589579154866655684531151298277765001150399085969119214436673744076858091019117327539586267590276988750370373064129781691707499060437712782221877948907972172872918086407741866417750991158722661661540352 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)))) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q)))
(if (<=.f64 r #s(literal 184999999999999987171643351647738061275087954223520367431901013007670936032433684767193727789266012232837324181070428742469349231533002588931592422465712307694354934725795282036268728320 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)))
(if (<=.f64 r #s(literal 184999999999999987171643351647738061275087954223520367431901013007670936032433684767193727789266012232837324181070428742469349231533002588931592422465712307694354934725795282036268728320 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(literal 1/2 binary64))))
(if (<=.f64 r #s(literal 331999078261233/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1/2 binary64) p)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r)))
(if (<=.f64 r #s(literal 331999078261233/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) #s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1/2 binary64) p)) #s(approx ( (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

soundness595.0ms (9.2%)

Memory

17.5MiB live, 528.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	576	3249
1	1850	3049
2	6384	3039
0	8309	2819
0	361	1755
1	1112	1688
2	3624	1640
0	8086	1548

Stop Event

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

Compiler

Compiled 867 to 312 computations (64% saved)

preprocess166.0ms (2.6%)

Memory: 12.9MiB live, 133.9MiB allocated
Compiler: Compiled 2 170 to 600 computations (72.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.9s (29.6%)

explain377.0ms (5.9%)

preprocess175.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify130.0ms (2%)

localize55.0ms (0.9%)

series40.0ms (0.6%)

simplify223.0ms (3.5%)

rewrite196.0ms (3%)

eval145.0ms (2.3%)

prune14.0ms (0.2%)

simplify102.0ms (1.6%)

localize123.0ms (1.9%)

series32.0ms (0.5%)

simplify219.0ms (3.4%)

rewrite245.0ms (3.8%)

eval65.0ms (1%)

prune15.0ms (0.2%)

simplify152.0ms (2.4%)

localize109.0ms (1.7%)

series29.0ms (0.4%)

simplify169.0ms (2.6%)

rewrite166.0ms (2.6%)

eval36.0ms (0.6%)

prune9.0ms (0.1%)

simplify144.0ms (2.2%)

localize78.0ms (1.2%)

series8.0ms (0.1%)

simplify174.0ms (2.7%)

rewrite161.0ms (2.5%)

eval66.0ms (1%)

prune17.0ms (0.3%)

regimes43.0ms (0.7%)

regimes26.0ms (0.4%)

regimes20.0ms (0.3%)

regimes24.0ms (0.4%)

regimes17.0ms (0.3%)

regimes11.0ms (0.2%)

regimes17.0ms (0.3%)

regimes13.0ms (0.2%)

regimes11.0ms (0.2%)

bsearch1.0ms (0%)

bsearch49.0ms (0.8%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch21.0ms (0.3%)

bsearch14.0ms (0.2%)

simplify27.0ms (0.4%)

soundness595.0ms (9.2%)

preprocess166.0ms (2.6%)

end0.0ms (0%)

Profiling