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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample1.4s (40%)

Memory

-61.7MiB live, 1 767.8MiB allocated; 1.1s collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 911.0ms

ival-fabs: 500.0ms (54.9% of total)

ival-pow2: 155.0ms (17% of total)

ival-add!: 83.0ms (9.1% of total)

ival-mult!: 82.0ms (9% of total)

ival-sqrt: 69.0ms (7.6% of total)

ival-sub!: 22.0ms (2.4% of total)

adjust: 1.0ms (0.1% of total)

Bogosity

preprocess55.0ms (1.5%)

Memory

-6.2MiB live, 40.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	205
1	340	200
2	1484	200
3	7292	200

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Status

Accuracy

Program

▶

47.8%

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

Symmetry

(abs q)

(sort p r)

Compiler

Compiled 40 to 36 computations (10% saved)

series21.0ms (0.6%)

Memory

33.8MiB live, 33.8MiB allocated; 0ms collecting garbage

Counts

18 → 154

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
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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))))))))))))))
#s(approx (+ (fabs p) (fabs r)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (fabs p) #s(hole binary64 (fabs p)))
#s(approx p #s(hole binary64 p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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))))))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow r 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2)))))
#s(approx (pow (- p r) 2) #s(hole binary64 (pow r 2)))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* -2 (* p r)) (pow r 2))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* p (+ p (* -2 r))) (pow r 2))))
#s(approx (- p r) #s(hole binary64 (* -1 r)))
#s(approx (- p r) #s(hole binary64 (- p r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (* -1 (/ r p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow p 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (* -2 (/ r p))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (pow r 2) (pow p 2))))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (pow p 2)))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (* -2 (/ r p))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2)))))))
#s(approx (- p r) #s(hole binary64 p))
#s(approx (- p r) #s(hole binary64 (* p (+ 1 (* -1 (/ r p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 p)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p))))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 p)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ r p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow r 2) p)) (* 2 r)) p))))))
#s(approx (- p r) #s(hole binary64 (* -1 (* p (- (/ r p) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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))))))))))))))
#s(approx (fabs r) #s(hole binary64 (fabs r)))
#s(approx r #s(hole binary64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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))))))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow p 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (+ (* r (+ r (* -2 p))) (pow p 2)))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* -2 (* p r)) (pow p 2))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* r (+ r (* -2 p))) (pow p 2))))
#s(approx (- p r) #s(hole binary64 (+ p (* -1 r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (* -1 (/ p r))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow r 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (* -2 (/ p r))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (+ (* 4 (/ (pow q 2) (pow r 2))) (/ (pow p 2) (pow r 2))))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (* -2 (/ p r))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (/ (pow p 2) (pow r 2)))))))
#s(approx (- p r) #s(hole binary64 (* r (- (/ p r) 1))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ p r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) r))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow p 2) r)) (* 2 p)) r))))))
#s(approx (- p r) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (fabs r))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) (- p r)))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ 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)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- p r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* 2 (/ (pow q 2) (- p r)))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ 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)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow (- p r) 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow (- p r) 2))))
#s(approx (* 4 (pow q 2)) #s(hole binary64 (* 4 (pow q 2))))
#s(approx (pow q 2) #s(hole binary64 (pow q 2)))
#s(approx q #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 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))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* 2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* 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)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* 4 (pow q 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow q 2) (+ 4 (/ (pow (- p r) 2) (pow q 2))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -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)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -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)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole 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))))))))))

Calls

9 calls:

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

rewrite192.0ms (5.4%)

Memory

11.9MiB live, 249.9MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	753	5847
0	771	5664
1	5690	5628
0	8173	5279

Stop Event

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

Counts

172 → 241

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
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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))))))))))))))
#s(approx (+ (fabs p) (fabs r)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (fabs p) #s(hole binary64 (fabs p)))
#s(approx p #s(hole binary64 p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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))))))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow r 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2)))))
#s(approx (pow (- p r) 2) #s(hole binary64 (pow r 2)))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* -2 (* p r)) (pow r 2))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* p (+ p (* -2 r))) (pow r 2))))
#s(approx (- p r) #s(hole binary64 (* -1 r)))
#s(approx (- p r) #s(hole binary64 (- p r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (* -1 (/ r p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow p 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (* -2 (/ r p))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (pow r 2) (pow p 2))))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (pow p 2)))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (* -2 (/ r p))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2)))))))
#s(approx (- p r) #s(hole binary64 p))
#s(approx (- p r) #s(hole binary64 (* p (+ 1 (* -1 (/ r p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 p)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p))))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 p)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ r p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow r 2) p)) (* 2 r)) p))))))
#s(approx (- p r) #s(hole binary64 (* -1 (* p (- (/ r p) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (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))))))))))))))
#s(approx (fabs r) #s(hole binary64 (fabs r)))
#s(approx r #s(hole binary64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (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))))))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow p 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (+ (* r (+ r (* -2 p))) (pow p 2)))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* -2 (* p r)) (pow p 2))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* r (+ r (* -2 p))) (pow p 2))))
#s(approx (- p r) #s(hole binary64 (+ p (* -1 r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 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)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (* -1 (/ p r))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow r 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (* -2 (/ p r))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (+ (* 4 (/ (pow q 2) (pow r 2))) (/ (pow p 2) (pow r 2))))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (* -2 (/ p r))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (/ (pow p 2) (pow r 2)))))))
#s(approx (- p r) #s(hole binary64 (* r (- (/ p r) 1))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ p r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) r))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow p 2) r)) (* 2 p)) r))))))
#s(approx (- p r) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (fabs r))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) (- p r)))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ 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)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- p r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* 2 (/ (pow q 2) (- p r)))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ 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)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow (- p r) 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow (- p r) 2))))
#s(approx (* 4 (pow q 2)) #s(hole binary64 (* 4 (pow q 2))))
#s(approx (pow q 2) #s(hole binary64 (pow q 2)))
#s(approx q #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 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))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* 2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* 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)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* 4 (pow q 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow q 2) (+ 4 (/ (pow (- p r) 2) (pow q 2))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -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)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -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)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole 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))))))))))

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

eval35.0ms (1%)

Memory: -24.7MiB live, 64.4MiB allocated; 16ms collecting garbage
Compiler: Compiled 3 962 to 1 310 computations (66.9% saved)

prune12.0ms (0.3%)

Memory

25.5MiB live, 25.5MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	213	15	228
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	214	15	229

Accuracy

99.8%

Counts

229 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.3%	(.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 q q))))
	12.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal -2 binary64) q))))
	40.5%	(.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))))
	40.4%	(.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)))) r)))
▶	58.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (neg.f64 p) (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
▶	43.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
▶	2.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1/2 binary64)))
	37.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
	57.4%	#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 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
	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) r))
	1.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
▶	1.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
	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) p))
	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
▶	36.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q)

Compiler

Compiled 694 to 694 computations (0% saved)

series43.0ms (1.2%)

Memory

-46.3MiB live, 58.2MiB allocated; 28ms collecting garbage

Counts

28 → 121

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

Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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))))))))))))
#s(approx (* (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r))))))
#s(approx (* (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (+ (* -1/2 p) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))))))
#s(approx (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) r)))))
#s(approx (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))))))
#s(approx (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) #s(hole binary64 (/ (+ (fabs p) (fabs r)) r)))
#s(approx (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) #s(hole binary64 (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))))
#s(approx (+ (+ (neg p) (fabs r)) (fabs p)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (+ (+ (neg p) (fabs r)) (fabs p)) #s(hole binary64 (+ (fabs p) (+ (fabs r) (* -1 p)))))
#s(approx (+ (neg p) (fabs r)) #s(hole binary64 (fabs r)))
#s(approx (+ (neg p) (fabs r)) #s(hole binary64 (+ (fabs r) (* -1 p))))
#s(approx (neg p) #s(hole binary64 (* -1 p)))
#s(approx p #s(hole binary64 p))
#s(approx (fabs p) #s(hole binary64 (fabs p)))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (* 1/2 (- (+ (fabs p) (fabs r)) r))))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (- (+ (fabs p) (fabs r)) r)))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (- (+ p (+ (fabs p) (fabs r))) r)))
#s(approx (+ (+ p (fabs p)) (fabs r)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (+ (+ p (fabs p)) (fabs r)) #s(hole binary64 (+ p (+ (fabs p) (fabs r)))))
#s(approx (+ p (fabs p)) #s(hole binary64 (fabs p)))
#s(approx (+ p (fabs p)) #s(hole binary64 (+ p (fabs p))))
#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) #s(hole binary64 (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
#s(approx (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))
#s(approx (/ (+ (fabs r) (fabs p)) q) #s(hole binary64 (/ (+ (fabs p) (fabs r)) q)))
#s(approx (+ (fabs r) (fabs p)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (* (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* -1/2 p)))
#s(approx (* (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* p (- (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2))))
#s(approx (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (* -1/2 (/ p r))))
#s(approx (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))))
#s(approx (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) #s(hole binary64 (* -1 (/ p r))))
#s(approx (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) #s(hole binary64 (* p (- (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r))) (/ 1 r)))))
#s(approx (+ (+ (neg p) (fabs r)) (fabs p)) #s(hole binary64 (* -1 p)))
#s(approx (+ (+ (neg p) (fabs r)) (fabs p)) #s(hole binary64 (* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1))))
#s(approx (+ (neg p) (fabs r)) #s(hole binary64 (* -1 p)))
#s(approx (+ (neg p) (fabs r)) #s(hole binary64 (* p (- (/ (fabs r) p) 1))))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (* 1/2 p)))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))))))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 p))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (* p (- (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ r p)))))
#s(approx (+ (+ p (fabs p)) (fabs r)) #s(hole binary64 p))
#s(approx (+ (+ p (fabs p)) (fabs r)) #s(hole binary64 (* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))))
#s(approx (+ p (fabs p)) #s(hole binary64 p))
#s(approx (+ p (fabs p)) #s(hole binary64 (* p (+ 1 (/ (fabs p) p)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p)))))))
#s(approx (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (* -1 (* p (+ (* -1 (/ (+ 1/2 (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) p)) (* 1/2 (/ 1 r)))))))
#s(approx (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) #s(hole binary64 (* -1 (* p (+ (* -1 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (/ 1 r))))))
#s(approx (+ (+ (neg p) (fabs r)) (fabs p)) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) p)))))))
#s(approx (+ (neg p) (fabs r)) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (fabs r) p)))))))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1)))))
#s(approx (+ (+ p (fabs p)) (fabs r)) #s(hole binary64 (* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))))
#s(approx (+ p (fabs p)) #s(hole binary64 (* -1 (* p (- (* -1 (/ (fabs p) p)) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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))))))))))))
#s(approx (* (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* 1/2 (- (+ (fabs p) (fabs r)) p))))
#s(approx (* (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p)))))
#s(approx (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r))))
#s(approx (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)))
#s(approx (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) #s(hole binary64 (/ (- (+ (fabs p) (fabs r)) p) r)))
#s(approx (+ (+ (neg p) (fabs r)) (fabs p)) #s(hole binary64 (- (+ (fabs p) (fabs r)) p)))
#s(approx (+ (neg p) (fabs r)) #s(hole binary64 (- (fabs r) p)))
#s(approx (fabs r) #s(hole binary64 (fabs r)))
#s(approx r #s(hole binary64 r))
#s(approx (* -1/2 r) #s(hole binary64 (* -1/2 r)))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (* 1/2 (+ p (+ (fabs p) (fabs r))))))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (+ p (+ (fabs p) (fabs r)))))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (+ p (+ (fabs p) (+ (fabs r) (* -1 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (* (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* 1/2 r)))
#s(approx (* (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r))))))
#s(approx (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) p) r)))))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (* -1/2 r)))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (* -1 r)))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))
#s(approx q #s(hole binary64 q))
#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) #s(hole binary64 (* 1/2 (+ (fabs p) (fabs r)))))
#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) #s(hole binary64 (+ q (* 1/2 (+ (fabs p) (fabs r))))))
#s(approx (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(hole binary64 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))
#s(approx (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(hole binary64 (/ (+ q (* 1/2 (+ (fabs p) (fabs r)))) q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) #s(hole binary64 q))
#s(approx (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(hole binary64 1))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -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)))))))
#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) #s(hole binary64 (* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))))

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	p	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) r) (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) (+ (+ (neg p) (fabs r)) (fabs p)) (+ (neg p) (fabs r)) (neg p) p (fabs r) r (fabs p) 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) (- (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (+ p (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) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (+ (fabs r) (fabs p)) 1)
5.0ms	p	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) r) (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) (+ (+ (neg p) (fabs r)) (fabs p)) (+ (neg p) (fabs r)) (neg p) p (fabs r) r (fabs p) 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) (- (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (+ p (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) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (+ (fabs r) (fabs p)) 1)
3.0ms	r	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) r) (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) (+ (+ (neg p) (fabs r)) (fabs p)) (+ (neg p) (fabs r)) (neg p) p (fabs r) r (fabs p) 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) (- (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (+ p (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) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (+ (fabs r) (fabs p)) 1)
3.0ms	p	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) r) (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) (+ (+ (neg p) (fabs r)) (fabs p)) (+ (neg p) (fabs r)) (neg p) p (fabs r) r (fabs p) 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) (- (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (+ p (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) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (+ (fabs r) (fabs p)) 1)
3.0ms	r	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) r) (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) (+ (+ (neg p) (fabs r)) (fabs p)) (+ (neg p) (fabs r)) (neg p) p (fabs r) r (fabs p) 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) (- (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (+ p (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) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (+ (fabs r) (fabs p)) 1)

rewrite176.0ms (5%)

Memory

39.4MiB live, 225.2MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	529	3777
0	561	3605
1	3550	3154
0	8925	3031

Stop Event

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

Counts

149 → 326

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

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

eval40.0ms (1.1%)

Memory: -2.9MiB live, 87.8MiB allocated; 10ms collecting garbage
Compiler: Compiled 4 106 to 1 660 computations (59.6% saved)

prune23.0ms (0.7%)

Memory

-4.4MiB live, 41.6MiB allocated; 4ms collecting garbage

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	296	13	309
Fresh	4	6	10
Picked	1	4	5
Done	0	0	0
Total	301	23	324

Accuracy

99.8%

Counts

324 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.5%	(.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))))
	40.4%	(.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)))) r)))
▶	58.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (-.f64 r p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
✓	43.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
	39.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 #s(approx (+ (neg p) (fabs r)) r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
✓	2.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1/2 binary64)))
	1.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (+.f64 p p) (fabs.f64 r)) r) #s(literal 1/2 binary64)))
▶	1.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 #s(approx (+ p (fabs p)) p) (fabs.f64 r)) r) #s(literal 1/2 binary64)))
▶	0.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 #s(approx (+ (+ p (fabs p)) (fabs r)) p) r) #s(literal 1/2 binary64)))
	31.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r) p) #s(literal 1/2 binary64)))
	37.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
▶	5.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 q) (fma.f64 (/.f64 (+.f64 r p) q) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	57.4%	#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 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
	7.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (- (+ (+ p (fabs p)) (fabs r)) r) (+.f64 (+.f64 p p) r)) #s(literal 1/2 binary64)))
	1.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (- (+ (+ p (fabs p)) (fabs r)) r) p) #s(literal 1/2 binary64)))
	8.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) #s(literal 1/2 binary64)) r))
✓	1.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
	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) p))
▶	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	34.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (+ (neg p) (fabs r)) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal 1/2 binary64) (+.f64 r (-.f64 (+.f64 r p) p)))))
	40.1%	#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) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q)))
	7.4%	#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 r p) #s(literal 1/2 binary64))))
✓	36.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q)

Compiler

Compiled 1 119 to 1 087 computations (2.9% saved)

series37.0ms (1%)

Memory

-0.3MiB live, 51.4MiB allocated; 12ms collecting garbage

Counts

30 → 161

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

Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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))))))))))))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ r (fabs p)) r))))))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (+ (* -1/2 p) (* r (+ 1/2 (* 1/2 (/ (+ r (fabs p)) r)))))))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ (+ r (fabs p)) r)))))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ p r)) (* 1/2 (/ (+ r (fabs p)) r))))))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 (/ (+ r (fabs p)) r)))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 (+ 1 (+ (* -1 (/ p r)) (/ (fabs p) r)))))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (+ r (fabs p))))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (+ r (+ (fabs p) (* -1 p)))))
#s(approx (- r p) #s(hole binary64 r))
#s(approx (- r p) #s(hole binary64 (+ r (* -1 p))))
#s(approx p #s(hole binary64 p))
#s(approx (fabs p) #s(hole binary64 (fabs p)))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (* 1/2 (- (+ (fabs p) (fabs r)) r))))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (- (+ (fabs p) (fabs r)) r)))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (- (+ p (+ (fabs p) (fabs r))) r)))
#s(approx (+ (+ p (fabs p)) (fabs r)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (+ (+ p (fabs p)) (fabs r)) #s(hole binary64 (+ p (+ (fabs p) (fabs r)))))
#s(approx (+ p (fabs p)) #s(hole binary64 (fabs p)))
#s(approx (+ p (fabs p)) #s(hole binary64 (+ p (fabs p))))
#s(approx (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) #s(hole binary64 (* -1 (* q (+ 1 (* -1/2 (/ r q)))))))
#s(approx (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) #s(hole binary64 (+ (* -1 (* q (+ 1 (* -1/2 (/ r q))))) (* 1/2 p))))
#s(approx (+ (* (/ (+ r p) q) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (/ r q)))))
#s(approx (+ (* (/ (+ r p) q) -1/2) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (/ p q)) (* -1/2 (/ r q))))))
#s(approx (/ (+ r p) q) #s(hole binary64 (/ r q)))
#s(approx (/ (+ r p) q) #s(hole binary64 (+ (/ p q) (/ r q))))
#s(approx (+ r p) #s(hole binary64 r))
#s(approx (+ r p) #s(hole binary64 (+ p r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* -1/2 p)))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* p (- (/ (* r (+ 1/2 (* 1/2 (+ 1 (/ (fabs p) r))))) p) 1/2))))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (* -1/2 (/ p r))))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (* p (- (+ (* 1/2 (/ (+ 1 (/ (fabs p) r)) p)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 (* -1 (/ p r))))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 (* p (- (+ (/ 1 p) (/ (fabs p) (* p r))) (/ 1 r)))))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (* -1 p)))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (* p (- (+ (/ r p) (/ (fabs p) p)) 1))))
#s(approx (- r p) #s(hole binary64 (* -1 p)))
#s(approx (- r p) #s(hole binary64 (* p (- (/ r p) 1))))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (* 1/2 p)))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))))))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 p))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (* p (- (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ r p)))))
#s(approx (+ (+ p (fabs p)) (fabs r)) #s(hole binary64 p))
#s(approx (+ (+ p (fabs p)) (fabs r)) #s(hole binary64 (* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))))
#s(approx (+ p (fabs p)) #s(hole binary64 p))
#s(approx (+ p (fabs p)) #s(hole binary64 (* p (+ 1 (/ (fabs p) p)))))
#s(approx (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) #s(hole binary64 (* 1/2 p)))
#s(approx (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) #s(hole binary64 (* p (+ 1/2 (* -1 (/ (* q (+ 1 (* -1/2 (/ r q)))) p))))))
#s(approx (+ (* (/ (+ r p) q) -1/2) 1) #s(hole binary64 (* -1/2 (/ p q))))
#s(approx (+ (* (/ (+ r p) q) -1/2) 1) #s(hole binary64 (* p (- (+ (* -1/2 (/ r (* p q))) (/ 1 p)) (* 1/2 (/ 1 q))))))
#s(approx (/ (+ r p) q) #s(hole binary64 (/ p q)))
#s(approx (/ (+ r p) q) #s(hole binary64 (* p (+ (/ 1 q) (/ r (* p q))))))
#s(approx (+ r p) #s(hole binary64 p))
#s(approx (+ r p) #s(hole binary64 (* p (+ 1 (/ r p)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* 1/2 (+ 1 (/ (fabs p) r))))) p)))))))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (* -1 (* p (+ (* -1 (/ (+ 1/2 (* 1/2 (+ 1 (/ (fabs p) r)))) p)) (* 1/2 (/ 1 r)))))))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 (* -1 (* p (+ (* -1 (/ (+ 1 (/ (fabs p) r)) p)) (/ 1 r))))))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (fabs p)) p)))))))
#s(approx (- r p) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ r p)))))))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1)))))
#s(approx (+ (+ p (fabs p)) (fabs r)) #s(hole binary64 (* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))))
#s(approx (+ p (fabs p)) #s(hole binary64 (* -1 (* p (- (* -1 (/ (fabs p) p)) 1)))))
#s(approx (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) #s(hole binary64 (* -1 (* p (- (/ (* q (+ 1 (* -1/2 (/ r q)))) p) 1/2)))))
#s(approx (+ (* (/ (+ r p) q) -1/2) 1) #s(hole binary64 (* -1 (* p (+ (* -1 (/ (+ 1 (* -1/2 (/ r q))) p)) (* 1/2 (/ 1 q)))))))
#s(approx (/ (+ r p) q) #s(hole binary64 (* -1 (* p (- (* -1 (/ r (* p q))) (/ 1 q))))))
#s(approx (+ r p) #s(hole binary64 (* -1 (* p (- (* -1 (/ r p)) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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))))))))))))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* 1/2 (- (fabs p) p))))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (+ r (* 1/2 (- (fabs p) p)))))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (* 1/2 (/ (- (fabs p) p) r))))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (/ (+ r (* 1/2 (- (fabs p) p))) r)))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 (/ (- (fabs p) p) r)))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 (/ (- (+ r (fabs p)) p) r)))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (- (fabs p) p)))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (- (+ r (fabs p)) p)))
#s(approx (- r p) #s(hole binary64 (- r p)))
#s(approx r #s(hole binary64 r))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (* 1/2 (+ p (+ (fabs p) (fabs r))))))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (+ p (+ (fabs p) (fabs r)))))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (+ p (+ (fabs p) (+ (fabs r) (* -1 r))))))
#s(approx (fabs r) #s(hole binary64 (fabs r)))
#s(approx (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) #s(hole binary64 (* -1 (* q (+ 1 (* -1/2 (/ p q)))))))
#s(approx (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) #s(hole binary64 (+ (* -1 (* q (+ 1 (* -1/2 (/ p q))))) (* 1/2 r))))
#s(approx (+ (* (/ (+ r p) q) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (/ p q)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 r))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* r (+ 1 (* 1/2 (/ (- (fabs p) p) r))))))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (+ 1 (* 1/2 (/ (- (fabs p) p) r)))))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 1))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 (- (+ 1 (/ (fabs p) r)) (/ p r))))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 r))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (* r (- (+ 1 (/ (fabs p) r)) (/ p r)))))
#s(approx (- r p) #s(hole binary64 (* r (+ 1 (* -1 (/ p r))))))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (* -1/2 r)))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (* -1 r)))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))))
#s(approx (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) #s(hole binary64 (* 1/2 r)))
#s(approx (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) #s(hole binary64 (* r (+ 1/2 (* -1 (/ (* q (+ 1 (* -1/2 (/ p q)))) r))))))
#s(approx (+ (* (/ (+ r p) q) -1/2) 1) #s(hole binary64 (* -1/2 (/ r q))))
#s(approx (+ (* (/ (+ r p) q) -1/2) 1) #s(hole binary64 (* r (- (+ (* -1/2 (/ p (* q r))) (/ 1 r)) (* 1/2 (/ 1 q))))))
#s(approx (/ (+ r p) q) #s(hole binary64 (* r (+ (/ 1 q) (/ p (* q r))))))
#s(approx (+ r p) #s(hole binary64 (* r (+ 1 (/ p r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* -1 (* r (- (* -1/2 (/ (- (fabs p) p) r)) 1)))))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (* -1 (* r (- (* -1 (/ (- (fabs p) p) r)) 1)))))
#s(approx (- r p) #s(hole binary64 (* -1 (* r (- (/ p r) 1)))))
#s(approx (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (- (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) #s(hole binary64 (* -1 (* r (- (/ (* q (+ 1 (* -1/2 (/ p q)))) r) 1/2)))))
#s(approx (+ (* (/ (+ r p) q) -1/2) 1) #s(hole binary64 (* -1 (* r (+ (* -1 (/ (+ 1 (* -1/2 (/ p q))) r)) (* 1/2 (/ 1 q)))))))
#s(approx (/ (+ r p) q) #s(hole binary64 (* -1 (* r (- (* -1 (/ p (* q r))) (/ 1 q))))))
#s(approx (+ r p) #s(hole binary64 (* -1 (* r (- (* -1 (/ p r)) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))
#s(approx (neg q) #s(hole binary64 (* -1 q)))
#s(approx q #s(hole binary64 q))
#s(approx (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) #s(hole binary64 (* 1/2 (+ p r))))
#s(approx (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) #s(hole binary64 (+ (* -1 q) (* 1/2 (+ p r)))))
#s(approx (+ (* (/ (+ r p) q) -1/2) 1) #s(hole binary64 (* -1/2 (/ (+ p r) q))))
#s(approx (+ (* (/ (+ r p) q) -1/2) 1) #s(hole binary64 (/ (+ q (* -1/2 (+ p r))) q)))
#s(approx (/ (+ r p) q) #s(hole binary64 (/ (+ p r) q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) #s(hole binary64 (* -1 q)))
#s(approx (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) #s(hole binary64 (* q (- (* 1/2 (/ (+ p r) q)) 1))))
#s(approx (+ (* (/ (+ r p) q) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (+ r p) q) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (/ (+ p r) q)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -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)))))))
#s(approx (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) #s(hole binary64 (* -1 (* q (+ 1 (* -1/2 (/ (+ p r) q)))))))

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	r	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) (/ (+ (- r p) (fabs p)) r) (+ (- r p) (fabs p)) (- r p) r p (fabs p) 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) (- (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) (- (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (+ p (fabs p)) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) (+ (* (/ (+ r p) q) -1/2) 1) (/ (+ r p) q) (+ r p) -1/2 1)
8.0ms	p	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) (/ (+ (- r p) (fabs p)) r) (+ (- r p) (fabs p)) (- r p) r p (fabs p) 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) (- (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) (- (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (+ p (fabs p)) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) (+ (* (/ (+ r p) q) -1/2) 1) (/ (+ r p) q) (+ r p) -1/2 1)
3.0ms	r	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) (/ (+ (- r p) (fabs p)) r) (+ (- r p) (fabs p)) (- r p) r p (fabs p) 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) (- (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) (- (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (+ p (fabs p)) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) (+ (* (/ (+ r p) q) -1/2) 1) (/ (+ r p) q) (+ r p) -1/2 1)
3.0ms	p	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) (/ (+ (- r p) (fabs p)) r) (+ (- r p) (fabs p)) (- r p) r p (fabs p) 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) (- (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) (- (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (+ p (fabs p)) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) (+ (* (/ (+ r p) q) -1/2) 1) (/ (+ r p) q) (+ r p) -1/2 1)
3.0ms	p	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) (/ (+ (- r p) (fabs p)) r) (+ (- r p) (fabs p)) (- r p) r p (fabs p) 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) (- (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (+ p (fabs p)) (fabs r)) r) 1/2) (- (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (+ p (fabs p)) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) (+ (* (/ (+ r p) q) -1/2) 1) (/ (+ r p) q) (+ r p) -1/2 1)

rewrite206.0ms (5.8%)

Memory

26.5MiB live, 210.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	674	4374
0	700	4217
1	4487	3874
0	9730	3729

Stop Event

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

Counts

191 → 337

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

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

eval46.0ms (1.3%)

Memory: -24.5MiB live, 104.0MiB allocated; 21ms collecting garbage
Compiler: Compiled 4 072 to 1 632 computations (59.9% saved)

prune30.0ms (0.8%)

Memory

-14.6MiB live, 48.8MiB allocated; 28ms collecting garbage

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	305	3	308
Fresh	4	10	14
Picked	1	4	5
Done	0	4	4
Total	310	21	331

Accuracy

99.8%

Counts

331 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.5%	(.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))))
	40.4%	(.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)))) r)))
✓	58.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (-.f64 r p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
✓	43.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
▶	39.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 #s(approx (- r p) r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
✓	2.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1/2 binary64)))
▶	1.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (+.f64 p p) (fabs.f64 r)) r) #s(literal 1/2 binary64)))
✓	1.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 #s(approx (+ p (fabs p)) p) (fabs.f64 r)) r) #s(literal 1/2 binary64)))
✓	0.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 #s(approx (+ (+ p (fabs p)) (fabs r)) p) r) #s(literal 1/2 binary64)))
	31.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r) p) #s(literal 1/2 binary64)))
	37.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
▶	57.4%	#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 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
	7.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (- (+ (+ p (fabs p)) (fabs r)) r) (+.f64 (+.f64 p p) r)) #s(literal 1/2 binary64)))
	1.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (- (+ (+ p (fabs p)) (fabs r)) r) p) #s(literal 1/2 binary64)))
✓	1.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
	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) p))
✓	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
▶	34.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) r))
▶	40.1%	#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) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q)))
	6.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 q))))
✓	36.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q)

Compiler

Compiled 887 to 870 computations (1.9% saved)

series32.0ms (0.9%)

Memory

21.4MiB live, 66.9MiB allocated; 7ms collecting garbage

Counts

31 → 175

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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))))))))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* 1/2 (+ r (+ (fabs p) (fabs r))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r)))))))
#s(approx (neg p) #s(hole binary64 (* -1 p)))
#s(approx p #s(hole binary64 p))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (/ (+ (* -1/2 (+ r (+ (fabs p) (fabs r)))) (* 1/2 p)) p)))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (/ (+ r (+ (fabs p) (fabs r))) p)))
#s(approx (+ (+ r (fabs p)) (fabs r)) #s(hole binary64 (+ r (+ (fabs p) (fabs r)))))
#s(approx (+ r (fabs p)) #s(hole binary64 (+ r (fabs p))))
#s(approx (fabs p) #s(hole binary64 (fabs p)))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ r (fabs p)) r))))))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (+ (* -1/2 p) (* r (+ 1/2 (* 1/2 (/ (+ r (fabs p)) r)))))))
#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) #s(hole binary64 (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
#s(approx (+ (* (+ r p) 1/2) q) #s(hole binary64 (+ q (* 1/2 r))))
#s(approx (+ (* (+ r p) 1/2) q) #s(hole binary64 (+ q (+ (* 1/2 p) (* 1/2 r)))))
#s(approx (+ r p) #s(hole binary64 r))
#s(approx (+ r p) #s(hole binary64 (+ p r)))
#s(approx (* (- (+ (+ p p) (fabs r)) r) 1/2) #s(hole binary64 (* 1/2 (- (fabs r) r))))
#s(approx (* (- (+ (+ p p) (fabs r)) r) 1/2) #s(hole binary64 (+ p (* 1/2 (- (fabs r) r)))))
#s(approx (- (+ (+ p p) (fabs r)) r) #s(hole binary64 (- (fabs r) r)))
#s(approx (- (+ (+ p p) (fabs r)) r) #s(hole binary64 (- (+ (fabs r) (* 2 p)) r)))
#s(approx (+ (+ p p) (fabs r)) #s(hole binary64 (fabs r)))
#s(approx (+ (+ p p) (fabs r)) #s(hole binary64 (+ (fabs r) (* 2 p))))
#s(approx (+ p p) #s(hole binary64 (* 2 p)))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ (+ r (fabs p)) r)))))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ p r)) (* 1/2 (/ (+ r (fabs p)) r))))))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 (/ (+ r (fabs p)) r)))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 (+ 1 (+ (* -1 (/ p r)) (/ (fabs p) r)))))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (+ r (fabs p))))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (+ r (+ (fabs p) (* -1 p)))))
#s(approx (- r p) #s(hole binary64 r))
#s(approx (- r p) #s(hole binary64 (+ r (* -1 p))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* -1/2 p)))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* -1/2 p)))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* p (- (/ (* r (+ 1/2 (* 1/2 (+ 1 (/ (fabs p) r))))) p) 1/2))))
#s(approx (+ (* (+ r p) 1/2) q) #s(hole binary64 (* 1/2 p)))
#s(approx (+ (* (+ r p) 1/2) q) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ r p)) (/ q p))))))
#s(approx (+ r p) #s(hole binary64 p))
#s(approx (+ r p) #s(hole binary64 (* p (+ 1 (/ r p)))))
#s(approx (* (- (+ (+ p p) (fabs r)) r) 1/2) #s(hole binary64 p))
#s(approx (* (- (+ (+ p p) (fabs r)) r) 1/2) #s(hole binary64 (* p (+ 1 (* 1/2 (/ (- (fabs r) r) p))))))
#s(approx (- (+ (+ p p) (fabs r)) r) #s(hole binary64 (* 2 p)))
#s(approx (- (+ (+ p p) (fabs r)) r) #s(hole binary64 (* p (- (+ 2 (/ (fabs r) p)) (/ r p)))))
#s(approx (+ (+ p p) (fabs r)) #s(hole binary64 (* 2 p)))
#s(approx (+ (+ p p) (fabs r)) #s(hole binary64 (* p (+ 2 (/ (fabs r) p)))))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (* -1/2 (/ p r))))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (* p (- (+ (* 1/2 (/ (+ 1 (/ (fabs p) r)) p)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 (* -1 (/ p r))))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 (* p (- (+ (/ 1 p) (/ (fabs p) (* p r))) (/ 1 r)))))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (* -1 p)))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (* p (- (+ (/ r p) (/ (fabs p) p)) 1))))
#s(approx (- r p) #s(hole binary64 (* -1 p)))
#s(approx (- r p) #s(hole binary64 (* p (- (/ r p) 1))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* 1/2 (+ 1 (/ (fabs p) r))))) p)))))))
#s(approx (+ (* (+ r p) 1/2) q) #s(hole binary64 (* -1 (* p (- (* -1 (/ (+ q (* 1/2 r)) p)) 1/2)))))
#s(approx (+ r p) #s(hole binary64 (* -1 (* p (- (* -1 (/ r p)) 1)))))
#s(approx (* (- (+ (+ p p) (fabs r)) r) 1/2) #s(hole binary64 (* -1 (* p (- (* -1/2 (/ (- (fabs r) r) p)) 1)))))
#s(approx (- (+ (+ p p) (fabs r)) r) #s(hole binary64 (* -1 (* p (- (* -1 (/ (- (fabs r) r) p)) 2)))))
#s(approx (+ (+ p p) (fabs r)) #s(hole binary64 (* -1 (* p (- (* -1 (/ (fabs r) p)) 2)))))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (* -1 (* p (+ (* -1 (/ (+ 1/2 (* 1/2 (+ 1 (/ (fabs p) r)))) p)) (* 1/2 (/ 1 r)))))))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 (* -1 (* p (+ (* -1 (/ (+ 1 (/ (fabs p) r)) p)) (/ 1 r))))))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (fabs p)) p)))))))
#s(approx (- r p) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ r p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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))))))))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p)))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (+ (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) (* 1/2 r))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p)))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ r p)) (* -1/2 (/ (+ (fabs p) (fabs r)) p))))))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (/ (+ (fabs p) (fabs r)) p)))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))))
#s(approx (+ (+ r (fabs p)) (fabs r)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (+ r (fabs p)) #s(hole binary64 (fabs p)))
#s(approx r #s(hole binary64 r))
#s(approx (fabs r) #s(hole binary64 (fabs r)))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* 1/2 (- (fabs p) p))))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (+ r (* 1/2 (- (fabs p) p)))))
#s(approx (+ (* (+ r p) 1/2) q) #s(hole binary64 (+ q (* 1/2 p))))
#s(approx (* (- (+ (+ p p) (fabs r)) r) 1/2) #s(hole binary64 (* 1/2 (+ (fabs r) (* 2 p)))))
#s(approx (* (- (+ (+ p p) (fabs r)) r) 1/2) #s(hole binary64 (+ (* -1/2 r) (* 1/2 (+ (fabs r) (* 2 p))))))
#s(approx (- (+ (+ p p) (fabs r)) r) #s(hole binary64 (+ (fabs r) (* 2 p))))
#s(approx (- (+ (+ p p) (fabs r)) r) #s(hole binary64 (+ (fabs r) (+ (* -1 r) (* 2 p)))))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (* 1/2 (/ (- (fabs p) p) r))))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (/ (+ r (* 1/2 (- (fabs p) p))) r)))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 (/ (- (fabs p) p) r)))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 (/ (- (+ r (fabs p)) p) r)))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (- (fabs p) p)))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (- (+ r (fabs p)) p)))
#s(approx (- r p) #s(hole binary64 (- r p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* 1/2 r)))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* r (+ 1/2 (* -1 (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r))))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ r p))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p))))))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (/ r p)))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (* r (+ (/ 1 p) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r)))))))
#s(approx (+ (+ r (fabs p)) (fabs r)) #s(hole binary64 r))
#s(approx (+ (+ r (fabs p)) (fabs r)) #s(hole binary64 (* r (+ 1 (+ (/ (fabs p) r) (/ (fabs r) r))))))
#s(approx (+ r (fabs p)) #s(hole binary64 r))
#s(approx (+ r (fabs p)) #s(hole binary64 (* r (+ 1 (/ (fabs p) r)))))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 r))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* r (+ 1 (* 1/2 (/ (- (fabs p) p) r))))))
#s(approx (+ (* (+ r p) 1/2) q) #s(hole binary64 (* 1/2 r)))
#s(approx (+ (* (+ r p) 1/2) q) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ p r)) (/ q r))))))
#s(approx (+ r p) #s(hole binary64 (* r (+ 1 (/ p r)))))
#s(approx (* (- (+ (+ p p) (fabs r)) r) 1/2) #s(hole binary64 (* -1/2 r)))
#s(approx (* (- (+ (+ p p) (fabs r)) r) 1/2) #s(hole binary64 (* r (- (* 1/2 (/ (+ (fabs r) (* 2 p)) r)) 1/2))))
#s(approx (- (+ (+ p p) (fabs r)) r) #s(hole binary64 (* -1 r)))
#s(approx (- (+ (+ p p) (fabs r)) r) #s(hole binary64 (* r (- (+ (* 2 (/ p r)) (/ (fabs r) r)) 1))))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) #s(hole binary64 (+ 1 (* 1/2 (/ (- (fabs p) p) r)))))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 1))
#s(approx (/ (+ (- r p) (fabs p)) r) #s(hole binary64 (- (+ 1 (/ (fabs p) r)) (/ p r))))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 r))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (* r (- (+ 1 (/ (fabs p) r)) (/ p r)))))
#s(approx (- r p) #s(hole binary64 (* r (+ 1 (* -1 (/ p r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* -1 (* r (- (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r) 1/2)))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* -1 (* r (+ (* -1 (/ (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p)))) r)) (* 1/2 (/ 1 p)))))))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (* -1 (* r (- (* -1 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (/ 1 p))))))
#s(approx (+ (+ r (fabs p)) (fabs r)) #s(hole binary64 (* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))))
#s(approx (+ r (fabs p)) #s(hole binary64 (* -1 (* r (- (* -1 (/ (fabs p) r)) 1)))))
#s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) #s(hole binary64 (* -1 (* r (- (* -1/2 (/ (- (fabs p) p) r)) 1)))))
#s(approx (+ (* (+ r p) 1/2) q) #s(hole binary64 (* -1 (* r (- (* -1 (/ (+ q (* 1/2 p)) r)) 1/2)))))
#s(approx (+ r p) #s(hole binary64 (* -1 (* r (- (* -1 (/ p r)) 1)))))
#s(approx (* (- (+ (+ p p) (fabs r)) r) 1/2) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ (fabs r) (* 2 p)) r)))))))
#s(approx (- (+ (+ p p) (fabs r)) r) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ (fabs r) (* 2 p)) r)))))))
#s(approx (+ (- r p) (fabs p)) #s(hole binary64 (* -1 (* r (- (* -1 (/ (- (fabs p) p) r)) 1)))))
#s(approx (- r p) #s(hole binary64 (* -1 (* r (- (/ p r) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole 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)))))))
#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) #s(hole binary64 (* 1/2 (+ (fabs p) (fabs r)))))
#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) #s(hole binary64 (+ q (* 1/2 (+ (fabs p) (fabs r))))))
#s(approx (+ (* (+ r p) 1/2) q) #s(hole binary64 (* 1/2 (+ p r))))
#s(approx (+ (* (+ r p) 1/2) q) #s(hole binary64 (+ q (* 1/2 (+ p r)))))
#s(approx q #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 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))))))))
#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) #s(hole binary64 q))
#s(approx (+ (* (+ r p) 1/2) q) #s(hole binary64 q))
#s(approx (+ (* (+ r p) 1/2) q) #s(hole binary64 (* q (+ 1 (* 1/2 (/ (+ p r) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -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)))))))
#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) #s(hole binary64 (* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))))
#s(approx (+ (* (+ r p) 1/2) q) #s(hole binary64 (* -1 (* q (- (* -1/2 (/ (+ p r) q)) 1)))))

Calls

9 calls:

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

rewrite180.0ms (5.1%)

Memory

0.2MiB live, 231.0MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	719	4745
0	749	4578
1	4824	4146
0	8722	3923

Stop Event

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

Counts

206 → 317

Calls

Call 1

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

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

eval35.0ms (1%)

Memory: 35.8MiB live, 79.4MiB allocated; 11ms collecting garbage
Compiler: Compiled 3 451 to 1 439 computations (58.3% saved)

prune24.0ms (0.7%)

Memory

-15.3MiB live, 41.0MiB allocated; 14ms collecting garbage

Pruning

21 alts after pruning (9 fresh and 12 done)

	Pruned	Kept	Total
New	276	3	279
Fresh	2	6	8
Picked	1	4	5
Done	0	8	8
Total	279	21	300

Accuracy

99.8%

Counts

300 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.5%	(.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))))
	40.4%	(.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)))) r)))
✓	58.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (-.f64 r p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
✓	43.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
✓	39.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 #s(approx (- r p) r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
✓	2.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1/2 binary64)))
✓	1.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (+.f64 p p) (fabs.f64 r)) r) #s(literal 1/2 binary64)))
✓	1.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 #s(approx (+ p (fabs p)) p) (fabs.f64 r)) r) #s(literal 1/2 binary64)))
✓	0.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 #s(approx (+ (+ p (fabs p)) (fabs r)) p) r) #s(literal 1/2 binary64)))
	0.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 #s(approx (+ (+ p p) (fabs r)) (+.f64 p p)) r) #s(literal 1/2 binary64)))
	31.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r) p) #s(literal 1/2 binary64)))
	37.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
✓	57.4%	#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 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓	1.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
	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) p))
✓	1.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	1.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (+ p p) (fabs r)) r) 1/2) p))
✓	34.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (- r p) (fabs p)) r) 1/2) 1/2) r) r))
	41.3%	#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(approx (+ r p) r) #s(literal 1/2 binary64) q)))
	6.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg q) (+ (* (/ (+ r p) q) -1/2) 1)) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 q))))
✓	36.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q)

Compiler

Compiled 977 to 731 computations (25.2% saved)

regimes98.0ms (2.8%)

Memory

-26.6MiB live, 111.1MiB allocated; 16ms collecting garbage

Counts

35 → 3

Calls

Call 1

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

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

#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))

Calls

7 calls:

29.0ms	(pow.f64 q #s(literal 2 binary64))
16.0ms	(.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)))))))
14.0ms	q
9.0ms	r
9.0ms	p

Results

Accuracy	Segments	Branch
79.9%	3	`(pow.f64 q #s(literal 2 binary64))`
79.9%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
75.1%	2	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
75.1%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
78.9%	4	`p`
74.3%	3	`r`
79.9%	3	`q`

Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes30.0ms (0.9%)

Memory

-6.3MiB live, 45.6MiB allocated; 6ms collecting garbage

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
78.3%	2	`(pow.f64 q #s(literal 2 binary64))`
78.3%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
78.3%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes28.0ms (0.8%)

Memory

6.5MiB live, 51.4MiB allocated; 5ms collecting garbage

Counts

31 → 4

Calls

Call 1

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

Calls

3 calls:

10.0ms	(pow.f64 q #s(literal 2 binary64))
8.0ms	q
7.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
78.1%	2	`(pow.f64 q #s(literal 2 binary64))`
78.1%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
81.3%	4	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes26.0ms (0.7%)

Memory

7.6MiB live, 52.5MiB allocated; 2ms collecting garbage

Counts

30 → 2

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	(pow.f64 q #s(literal 2 binary64))
8.0ms	q
7.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
78.1%	2	`(pow.f64 q #s(literal 2 binary64))`
78.1%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
78.1%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes90.0ms (2.5%)

Memory

-28.5MiB live, 115.2MiB allocated; 73ms collecting garbage

Counts

29 → 3

Calls

Call 1

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

Outputs

(*.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))))

(*.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 q q))))

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

Calls

7 calls:

40.0ms	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
10.0ms	(pow.f64 q #s(literal 2 binary64))
8.0ms	r
8.0ms	q
8.0ms	p

Results

Accuracy	Segments	Branch
68.6%	3	`r`
49.9%	3	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
49.9%	3	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
72.9%	3	`p`
67.9%	4	`(pow.f64 q #s(literal 2 binary64))`
67.9%	4	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
68.2%	4	`q`

Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes11.0ms (0.3%)

Memory

-26.7MiB live, 19.6MiB allocated; 4ms collecting garbage

Counts

27 → 3

Calls

Call 1

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

Outputs

(*.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))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
72.5%	3	`p`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.2%)

Memory

20.9MiB live, 20.9MiB allocated; 0ms collecting garbage

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
72.2%	3	`p`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes35.0ms (1%)

Memory

-13.1MiB live, 78.6MiB allocated; 5ms collecting garbage

Counts

23 → 2

Calls

Call 1

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

Outputs

(*.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)))) r)))

#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(approx (+ r p) r) #s(literal 1/2 binary64) q)))

Calls

5 calls:

8.0ms	(pow.f64 q #s(literal 2 binary64))
7.0ms	r
6.0ms	p
6.0ms	q
6.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
62.5%	2	`(pow.f64 q #s(literal 2 binary64))`
62.5%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
62.5%	2	`q`
58.6%	2	`r`
52.3%	3	`p`

Compiler

Compiled 11 to 21 computations (-90.9% saved)

regimes29.0ms (0.8%)

Memory

12.4MiB live, 63.3MiB allocated; 7ms collecting garbage

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

10.0ms	(pow.f64 q #s(literal 2 binary64))
6.0ms	r
6.0ms	q
5.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
58.5%	2	`r`
58.5%	2	`(pow.f64 q #s(literal 2 binary64))`
58.5%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
58.5%	2	`q`

Compiler

Compiled 10 to 18 computations (-80% saved)

regimes16.0ms (0.4%)

Memory

-6.8MiB live, 38.9MiB allocated; 3ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
57.9%	2	`(pow.f64 q #s(literal 2 binary64))`
57.9%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
57.9%	2	`q`
57.5%	2	`r`

Compiler

Compiled 10 to 18 computations (-80% saved)

regimes8.0ms (0.2%)

Memory

24.2MiB live, 24.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
36.4%	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))))))`
36.4%	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)))))))`
36.4%	1	`p`
36.4%	1	`r`
36.4%	1	`(pow.f64 q #s(literal 2 binary64))`
36.4%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
36.4%	1	`q`

Compiler

Compiled 47 to 54 computations (-14.9% saved)

bsearch29.0ms (0.8%)

Memory

-0.8MiB live, 44.7MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.572029983458838e+111	1.0114246317666635e+115
11.0ms	3.4493184983279766e+33	8.15263766527752e+33

Samples

18.0ms

208×

valid

Compiler

Compiled 641 to 640 computations (0.2% saved)

Precisions

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

ival-pow2: 4.0ms (31.6% of total)

ival-mult!: 4.0ms (31.6% of total)

ival-fabs: 2.0ms (15.8% of total)

ival-sub!: 1.0ms (7.9% of total)

ival-sqrt: 1.0ms (7.9% of total)

ival-add!: 1.0ms (7.9% of total)

adjust: 0.0ms (0% of total)

bsearch13.0ms (0.4%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.7494142190897414e+43	3.936439269195688e+44

Samples

7.0ms

96×

valid

Compiler

Compiled 355 to 366 computations (-3.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-pow2: 2.0ms (41% of total)

ival-fabs: 1.0ms (20.5% of total)

ival-sqrt: 1.0ms (20.5% of total)

ival-add!: 1.0ms (20.5% of total)

ival-mult!: 1.0ms (20.5% of total)

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

adjust: 0.0ms (0% of total)

bsearch39.0ms (1.1%)

Memory

-12.1MiB live, 35.0MiB allocated; 2ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.7494142190897414e+43	3.936439269195688e+44
13.0ms	1.1903812436269993e-103	1.9379891923535655e-102
22.0ms	4.080407316459621e-241	5.935553061768661e-240

Samples

16.0ms

208×

valid

Compiler

Compiled 1 058 to 1 095 computations (-3.5% saved)

Precisions

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

ival-pow2: 4.0ms (37.1% of total)

ival-fabs: 2.0ms (18.6% of total)

ival-mult!: 2.0ms (18.6% of total)

ival-sub!: 1.0ms (9.3% of total)

ival-sqrt: 1.0ms (9.3% of total)

ival-add!: 1.0ms (9.3% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7494142190897414e+43	3.936439269195688e+44

Compiler

Compiled 343 to 354 computations (-3.2% saved)

bsearch51.0ms (1.4%)

Memory

-27.5MiB live, 67.4MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.2235121255831572e-290	9.060176736881999e-287
29.0ms	-2.2602593891115752e+48	-2.509868651012233e+45

Samples

34.0ms

256×

valid

Compiler

Compiled 753 to 776 computations (-3.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-pow2: 5.0ms (37% of total)

ival-fabs: 3.0ms (22.2% of total)

ival-sqrt: 2.0ms (14.8% of total)

ival-add!: 2.0ms (14.8% of total)

ival-mult!: 2.0ms (14.8% of total)

ival-sub!: 1.0ms (7.4% of total)

adjust: 0.0ms (0% of total)

bsearch3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.2235121255831572e-290	9.060176736881999e-287
1.0ms	-2.2602593891115752e+48	-2.509868651012233e+45

Compiler

Compiled 849 to 872 computations (-2.7% saved)

bsearch17.0ms (0.5%)

Memory

-3.9MiB live, 41.5MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	2.2235121255831572e-290	9.060176736881999e-287
13.0ms	-2.761584525248918e+38	-2.3328653697173376e+36

Samples

9.0ms

112×

valid

Compiler

Compiled 876 to 867 computations (1% saved)

Precisions

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

ival-pow2: 2.0ms (34.2% of total)

ival-fabs: 1.0ms (17.1% of total)

ival-sqrt: 1.0ms (17.1% of total)

ival-add!: 1.0ms (17.1% of total)

ival-mult!: 1.0ms (17.1% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7494142190897414e+43	3.936439269195688e+44

Compiler

Compiled 337 to 336 computations (0.3% saved)

bsearch23.0ms (0.6%)

Memory

8.9MiB live, 51.9MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.0314246720977517e+75	1.820252300116922e+80

Samples

15.0ms

144×

valid

Compiler

Compiled 565 to 555 computations (1.8% saved)

Precisions

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

ival-mult!: 5.0ms (44.7% of total)

ival-pow2: 3.0ms (26.8% of total)

ival-fabs: 1.0ms (8.9% of total)

ival-sqrt: 1.0ms (8.9% of total)

ival-add!: 1.0ms (8.9% of total)

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

adjust: 0.0ms (0% of total)

bsearch11.0ms (0.3%)

Memory

33.1MiB live, 33.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.7494142190897414e+43	3.936439269195688e+44

Samples

6.0ms

80×

valid

Compiler

Compiled 307 to 312 computations (-1.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-fabs: 1.0ms (24% of total)

ival-sqrt: 1.0ms (24% of total)

ival-add!: 1.0ms (24% of total)

ival-pow2: 1.0ms (24% of total)

ival-mult!: 1.0ms (24% of total)

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

adjust: 0.0ms (0% of total)

derivations253.0ms (7.1%)

Memory

-40.5MiB live, 346.1MiB allocated; 46ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 204 to 126 computations (38.2% saved)

preprocess127.0ms (3.6%)

Memory: 11.5MiB live, 345.0MiB allocated; 23ms collecting garbage
Remove: (sort p r)
Compiler: Compiled 2 746 to 2 014 computations (26.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (40%)

preprocess55.0ms (1.5%)

series21.0ms (0.6%)

rewrite192.0ms (5.4%)

eval35.0ms (1%)

prune12.0ms (0.3%)

series43.0ms (1.2%)

rewrite176.0ms (5%)

eval40.0ms (1.1%)

prune23.0ms (0.7%)

series37.0ms (1%)

rewrite206.0ms (5.8%)

eval46.0ms (1.3%)

prune30.0ms (0.8%)

series32.0ms (0.9%)

rewrite180.0ms (5.1%)

eval35.0ms (1%)

prune24.0ms (0.7%)

regimes98.0ms (2.8%)

regimes30.0ms (0.9%)

regimes28.0ms (0.8%)

regimes26.0ms (0.7%)

regimes90.0ms (2.5%)

regimes11.0ms (0.3%)

regimes9.0ms (0.2%)

regimes35.0ms (1%)

regimes29.0ms (0.8%)

regimes16.0ms (0.4%)

regimes8.0ms (0.2%)

bsearch29.0ms (0.8%)

bsearch13.0ms (0.4%)

bsearch39.0ms (1.1%)

bsearch1.0ms (0%)

bsearch51.0ms (1.4%)

bsearch3.0ms (0.1%)

bsearch17.0ms (0.5%)

bsearch1.0ms (0%)

bsearch23.0ms (0.6%)

bsearch11.0ms (0.3%)

derivations253.0ms (7.1%)

preprocess127.0ms (3.6%)

end0.0ms (0%)

Profiling