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)

sample1.3s (39.1%)

Memory

93.5MiB live, 1 392.5MiB allocated; 1.0s collecting garbage

Samples

1.1s	8 254×	0	valid
0.0ms	1×	3	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 834.0ms

ival-fabs: 380.0ms (45.6% of total)

ival-pow2: 222.0ms (26.6% of total)

ival-mult!: 76.0ms (9.1% of total)

ival-sqrt: 70.0ms (8.4% of total)

ival-add!: 63.0ms (7.6% of total)

ival-sub!: 21.0ms (2.5% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

preprocess70.0ms (2%)

Memory

-31.5MiB live, 59.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	200
1	368	200
2	1311	200
3	7452	200

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.8%	(.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

▶

41.8%

(*.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)

series20.0ms (0.6%)

Memory

29.0MiB live, 29.0MiB allocated; 0ms collecting garbage

Counts

18 → 136

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 (+ (* 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 (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/4 (/ (* p (- 1 (/ (pow r 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 2)))) (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 (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/4 (/ (* p (* r (- 1 (/ (pow r 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 2))))) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 3))) (* 1/4 (/ (- 1 (/ (pow r 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 2))) (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)))))))
#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 (+ (* 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 (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (/ (* p (- 1 (/ (pow r 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 2)))) (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))) (* p (+ (* -1 (/ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (/ (* p (* r (- 1 (/ (pow r 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 2))))) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 3))) (* 1/2 (/ (- 1 (/ (pow r 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 2))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))))))))
#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 (+ (* 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 (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (/ (* p (- 1 (/ (pow r 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 2)))) (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))) (* p (+ (* -1 (/ r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (/ (* p (* r (- 1 (/ (pow r 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 2))))) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 3))) (* 1/2 (/ (- 1 (/ (pow r 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 2))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))))))
#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 (+ 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 (+ 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) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 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)))
#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 (+ 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 (+ (* 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 (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/4 (/ (* r (- 1 (/ (pow p 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 2)))) (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 (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/4 (/ (* p (* r (- 1 (/ (pow p 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 2))))) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 3))) (* 1/4 (/ (- 1 (/ (pow p 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 2))) (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)))))))
#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 (+ (* 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 (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (/ (* r (- 1 (/ (pow p 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 2)))) (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))) (* r (+ (* -1 (/ p (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (/ (* p (* r (- 1 (/ (pow p 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 2))))) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 3))) (* 1/2 (/ (- 1 (/ (pow p 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 2))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))))))))
#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 (+ (* 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 (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/2 (/ (* r (- 1 (/ (pow p 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 2)))) (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))) (* r (+ (* -1 (/ p (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (/ (* p (* r (- 1 (/ (pow p 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 2))))) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 3))) (* 1/2 (/ (- 1 (/ (pow p 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 2))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))))))
#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 (+ 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 (+ 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) (+ 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)) (/ (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 (+ 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 (+ 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 (* (/ 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 (pow (- p 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 (pow (- p r) 2))))) (/ (pow q 2) (sqrt (pow (- p 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 (pow (- p r) 2))))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (sqrt (pow (- p r) 2)) 3))) (/ 1 (sqrt (pow (- p 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 (pow (- p r) 2))))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (sqrt (pow (- p r) 2)) 5))) (/ 1 (pow (sqrt (pow (- p r) 2)) 3)))) (/ 1 (sqrt (pow (- p 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 (pow (- p 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 (pow (- p r) 2)) (* 2 (/ (pow q 2) (sqrt (pow (- p 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 (pow (- p r) 2)) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (sqrt (pow (- p r) 2)) 3))) (* 2 (/ 1 (sqrt (pow (- p 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 (pow (- p r) 2)) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (sqrt (pow (- p r) 2)) 5))) (* 2 (/ 1 (pow (sqrt (pow (- p r) 2)) 3))))) (* 2 (/ 1 (sqrt (pow (- p r) 2)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (pow (- p r) 2))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (pow (- p r) 2)) (* 2 (/ (pow q 2) (sqrt (pow (- p r) 2)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (pow (- p r) 2)) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (sqrt (pow (- p r) 2)) 3))) (* 2 (/ 1 (sqrt (pow (- p r) 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (pow (- p r) 2)) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (sqrt (pow (- p r) 2)) 5))) (* 2 (/ 1 (pow (sqrt (pow (- p r) 2)) 3))))) (* 2 (/ 1 (sqrt (pow (- p r) 2)))))))))
#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 (+ 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 (* 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 (* (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 (* -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	@	-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	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	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)

rewrite258.0ms (7.5%)

Memory

-4.2MiB live, 234.0MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	722	5635
0	740	5438
1	5504	5260
0	8138	4935
1	20713	4935

Stop Event

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

Counts

154 → 236

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

eval33.0ms (1%)

Memory: 7.8MiB live, 51.7MiB allocated; 16ms collecting garbage
Compiler: Compiled 3 630 to 1 223 computations (66.3% saved)

prune16.0ms (0.5%)

Memory

-22.9MiB live, 22.8MiB allocated; 6ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	211	12	223
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	212	12	224

Accuracy

99.7%

Counts

224 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.5%	(.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)))) (.f64 (fma.f64 (/.f64 (.f64 (-.f64 r p) (-.f64 r p)) (*.f64 q q)) #s(literal 1/4 binary64) #s(literal 2 binary64)) q))))
	38.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (+.f64 q q)))
▶	45.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
▶	64.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (fabs.f64 (-.f64 r p)) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	35.5%	#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)))
	32.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	9.6%	#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))))
▶	8.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	1.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
▶	1.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
	8.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	1.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 590 to 588 computations (0.3% saved)

series22.0ms (0.6%)

Memory

39.9MiB live, 39.9MiB allocated; 0ms collecting garbage

Counts

25 → 68

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (fabs.f64 (-.f64 r p)) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 (fabs.f64 (-.f64 r p)) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))
(+.f64 (+.f64 (fabs.f64 (-.f64 r p)) (fabs.f64 r)) (fabs.f64 p))
(+.f64 (fabs.f64 (-.f64 r p)) (fabs.f64 r))
(fabs.f64 (-.f64 r p))
(-.f64 r p)
r
p
(fabs.f64 r)
(fabs.f64 p)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
(neg.f64 q)
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
(*.f64 #s(literal -1/2 binary64) r)
#s(literal -1/2 binary64)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
(*.f64 #s(literal 1/2 binary64) r)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (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 (+ (* 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 (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/4 (/ (* p (- 1 (/ (pow r 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 2)))) (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 (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/4 (/ (* p (* r (- 1 (/ (pow r 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 2))))) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 3))) (* 1/4 (/ (- 1 (/ (pow r 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 2))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))))))
#s(approx (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (fabs (- r p)))))))
#s(approx (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) #s(hole binary64 (+ (fabs p) (+ (fabs r) (fabs (- r p))))))
#s(approx (+ (fabs (- r p)) (fabs r)) #s(hole binary64 (+ (fabs r) (fabs (- r p)))))
#s(approx (fabs (- r p)) #s(hole binary64 (fabs (- r 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 (* (+ (* (/ (+ (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 (- 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 (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (fabs (+ r (* -1 p))))))))
#s(approx (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) #s(hole binary64 (+ (fabs p) (+ (fabs r) (fabs (+ r (* -1 p)))))))
#s(approx (+ (fabs (- r p)) (fabs r)) #s(hole binary64 (+ (fabs r) (fabs (+ r (* -1 p))))))
#s(approx (fabs (- r p)) #s(hole binary64 (fabs (+ r (* -1 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 (+ (* 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 (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/4 (/ (* r (- 1 (/ (pow p 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 2)))) (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 (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/4 (/ (* p (* r (- 1 (/ (pow p 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 2))))) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 3))) (* 1/4 (/ (- 1 (/ (pow p 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 2))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))))))
#s(approx (- r p) #s(hole binary64 (- r p)))
#s(approx (fabs r) #s(hole binary64 (fabs r)))
#s(approx (* -1/2 r) #s(hole binary64 (* -1/2 r)))
#s(approx (* 1/2 r) #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) #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 (* 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 (- r p)) (fabs r)) (fabs p)) 1/2) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (fabs (neg (+ p (* -1 r)))))))))
#s(approx (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) #s(hole binary64 (+ (fabs p) (+ (fabs r) (fabs (neg (+ p (* -1 r))))))))
#s(approx (+ (fabs (- r p)) (fabs r)) #s(hole binary64 (+ (fabs r) (fabs (neg (+ p (* -1 r)))))))
#s(approx (fabs (- r p)) #s(hole binary64 (fabs (neg (+ p (* -1 r))))))
#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 (+ (fabs p) (+ (fabs r) (sqrt (pow (- p 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 (pow (- p r) 2))))) (/ (pow q 2) (sqrt (pow (- p 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 (pow (- p r) 2))))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (sqrt (pow (- p r) 2)) 3))) (/ 1 (sqrt (pow (- p 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 (pow (- p r) 2))))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (sqrt (pow (- p r) 2)) 5))) (/ 1 (pow (sqrt (pow (- p r) 2)) 3)))) (/ 1 (sqrt (pow (- p r) 2))))))))
#s(approx (neg q) #s(hole binary64 (* -1 q)))
#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 (+ 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) #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 (+ 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
4.0ms	r	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) (+ (fabs (- r p)) (fabs r)) (fabs (- r p)) (- r p) r p (fabs r) (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)))))) (* -1/2 r) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) 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)))))) (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) (+ (fabs (- r p)) (fabs r)) (fabs (- r p)) (- r p) r p (fabs r) (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)))))) (* -1/2 r) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (+ (fabs r) (fabs p)) 1)
2.0ms	p	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) (+ (fabs (- r p)) (fabs r)) (fabs (- r p)) (- r p) r p (fabs r) (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)))))) (* -1/2 r) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (+ (fabs r) (fabs p)) 1)
2.0ms	p	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) (+ (fabs (- r p)) (fabs r)) (fabs (- r p)) (- r p) r p (fabs r) (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)))))) (* -1/2 r) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (+ (fabs r) (fabs p)) 1)
2.0ms	p	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) (+ (fabs (- r p)) (fabs r)) (fabs (- r p)) (- r p) r p (fabs r) (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)))))) (* -1/2 r) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (+ (fabs r) (fabs p)) 1)

rewrite253.0ms (7.3%)

Memory

-7.3MiB live, 181.2MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	376	2479
0	399	2403
1	2627	2351
0	8231	2249
1	15501	2249

Stop Event

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

Counts

93 → 192

Calls

Call 1

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

eval50.0ms (1.5%)

Memory: 0.3MiB live, 45.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 092 to 909 computations (56.5% saved)

prune20.0ms (0.6%)

Memory

-24.4MiB live, 26.7MiB allocated; 8ms collecting garbage

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	167	7	174
Fresh	3	4	7
Picked	1	4	5
Done	0	0	0
Total	171	15	186

Accuracy

99.7%

Counts

186 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.4%	#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 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64))) #s(literal -1 binary64)) q))
✓	64.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (fabs.f64 (-.f64 r p)) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	39.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (fabs.f64 #s(approx (- r p) (neg.f64 p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
▶	38.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (fabs.f64 #s(approx (- r p) r)) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	35.5%	#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)))
	32.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
▶	9.6%	#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))))
▶	38.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
	1.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p #s(literal 1/2 binary64)))
✓	8.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	1.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	8.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	1.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
▶	48.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) q)))
	14.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64))))

Compiler

Compiled 723 to 709 computations (1.9% saved)

series53.0ms (1.5%)

Memory

-2.1MiB live, 43.0MiB allocated; 5ms collecting garbage

Counts

28 → 73

Calls

Call 1

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

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 (+ (* 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 (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/4 (/ (* p (- 1 (/ (pow r 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 2)))) (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 (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/4 (/ (* p (* r (- 1 (/ (pow r 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 2))))) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 3))) (* 1/4 (/ (- 1 (/ (pow r 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow r 2))) 2))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))))))
#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)) 1/2) q) #s(hole binary64 (+ q (* 1/2 (+ (fabs p) (fabs r))))))
#s(approx (+ (fabs r) (fabs p)) #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 (* -1/2 p) #s(hole binary64 (* -1/2 p)))
#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 p)) (fabs r)) (fabs p)) 1/2) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (fabs (- r p)))))))
#s(approx (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) #s(hole binary64 (+ (fabs p) (+ (fabs r) (fabs (- r p))))))
#s(approx (+ (fabs (- r p)) (fabs r)) #s(hole binary64 (+ (fabs r) (fabs (- r p)))))
#s(approx (fabs (- r p)) #s(hole binary64 (fabs (- r p))))
#s(approx (- r p) #s(hole binary64 r))
#s(approx (- r p) #s(hole binary64 (+ r (* -1 p))))
#s(approx (* (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1)) #s(hole binary64 (* -1 (* 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 (* (/ 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) #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 (* 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 (- r p)) (fabs r)) (fabs p)) 1/2) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (fabs (+ r (* -1 p))))))))
#s(approx (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) #s(hole binary64 (+ (fabs p) (+ (fabs r) (fabs (+ r (* -1 p)))))))
#s(approx (+ (fabs (- r p)) (fabs r)) #s(hole binary64 (+ (fabs r) (fabs (+ r (* -1 p))))))
#s(approx (fabs (- r p)) #s(hole binary64 (fabs (+ r (* -1 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 (+ (* 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 (+ (* 4 (pow q 2)) (pow p 2))))) (* 1/4 (/ (* r (- 1 (/ (pow p 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 2)))) (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 (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/4 (/ (* p (* r (- 1 (/ (pow p 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 2))))) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 3))) (* 1/4 (/ (- 1 (/ (pow p 2) (pow (sqrt (+ (* 4 (pow q 2)) (pow p 2))) 2))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))))))
#s(approx (fabs r) #s(hole binary64 (fabs r)))
#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 (- 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 (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (fabs (neg (+ p (* -1 r)))))))))
#s(approx (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) #s(hole binary64 (+ (fabs p) (+ (fabs r) (fabs (neg (+ p (* -1 r))))))))
#s(approx (+ (fabs (- r p)) (fabs r)) #s(hole binary64 (+ (fabs r) (fabs (neg (+ p (* -1 r)))))))
#s(approx (fabs (- r p)) #s(hole binary64 (fabs (neg (+ p (* -1 r))))))
#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 (+ (fabs p) (+ (fabs r) (sqrt (pow (- p 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 (pow (- p r) 2))))) (/ (pow q 2) (sqrt (pow (- p 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 (pow (- p r) 2))))) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (sqrt (pow (- p r) 2)) 3))) (/ 1 (sqrt (pow (- p 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 (pow (- p r) 2))))) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (sqrt (pow (- p r) 2)) 5))) (/ 1 (pow (sqrt (pow (- p r) 2)) 3)))) (/ 1 (sqrt (pow (- p r) 2))))))))
#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) #s(hole binary64 (* 1/2 (+ (fabs p) (fabs r)))))
#s(approx q #s(hole binary64 q))
#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 (* (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1)) #s(hole binary64 (+ (* -1 q) (* 1/2 (+ (fabs p) (fabs r))))))
#s(approx (neg q) #s(hole binary64 (* -1 q)))
#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 (+ 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) #s(hole binary64 1))
#s(approx (* (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1)) #s(hole binary64 (* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))))
#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
32.0ms	q	@	-inf	((* (/ 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)) 1/2) q) (+ (fabs r) (fabs p)) (fabs r) r (fabs p) p 1/2 q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) (+ (fabs (- r p)) (fabs r)) (fabs (- r p)) (- r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1)) (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1) (/ (+ (fabs r) (fabs p)) q))
3.0ms	p	@	-inf	((* (/ 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)) 1/2) q) (+ (fabs r) (fabs p)) (fabs r) r (fabs p) p 1/2 q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) (+ (fabs (- r p)) (fabs r)) (fabs (- r p)) (- r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1)) (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1) (/ (+ (fabs r) (fabs p)) q))
3.0ms	p	@	inf	((* (/ 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)) 1/2) q) (+ (fabs r) (fabs p)) (fabs r) r (fabs p) p 1/2 q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) (+ (fabs (- r p)) (fabs r)) (fabs (- r p)) (- r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1)) (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1) (/ (+ (fabs r) (fabs p)) q))
3.0ms	p	@	0	((* (/ 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)) 1/2) q) (+ (fabs r) (fabs p)) (fabs r) r (fabs p) p 1/2 q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) (+ (fabs (- r p)) (fabs r)) (fabs (- r p)) (- r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1)) (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1) (/ (+ (fabs r) (fabs p)) q))
3.0ms	r	@	-inf	((* (/ 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)) 1/2) q) (+ (fabs r) (fabs p)) (fabs r) r (fabs p) p 1/2 q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) (+ (fabs (- r p)) (fabs r)) (fabs (- r p)) (- r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1)) (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1) (/ (+ (fabs r) (fabs p)) q))

rewrite163.0ms (4.7%)

Memory

6.9MiB live, 191.1MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	393	2709
0	415	2632
1	2789	2578
0	8286	2462
1	15202	2462

Stop Event

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

Counts

101 → 181

Calls

Call 1

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

eval20.0ms (0.6%)

Memory: 34.3MiB live, 34.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 203 to 894 computations (59.4% saved)

prune21.0ms (0.6%)

Memory

-22.2MiB live, 23.2MiB allocated; 4ms collecting garbage

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	182	2	184
Fresh	0	6	6
Picked	2	3	5
Done	0	4	4
Total	184	15	199

Accuracy

99.7%

Counts

199 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.4%	#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 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64))) #s(literal -1 binary64)) q))
✓	64.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (fabs.f64 (-.f64 r p)) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
▶	39.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (fabs.f64 #s(approx (- r p) (neg.f64 p))) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	35.5%	#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)))
▶	32.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
	38.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (fabs.f64 #s(approx (- r p) r)) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64)))
✓	38.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
▶	1.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p #s(literal 1/2 binary64)))
✓	8.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	1.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	8.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	1.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
✓	48.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) q)))
	14.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64))))
▶	12.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1)) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))))

Compiler

Compiled 654 to 640 computations (2.1% saved)

series93.0ms (2.7%)

Memory

33.5MiB live, 78.2MiB allocated; 4ms collecting garbage

Counts

40 → 214

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
49.0ms	r	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) (+ (fabs (- r p)) (fabs r)) (fabs (- r p)) (- r p) (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)))))) (* p 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1)) (neg (+ (* -1/2 (+ (fabs r) (fabs p))) q)) (+ (* -1/2 (+ (fabs r) (fabs p))) q) -1/2 (+ (fabs r) (fabs p)) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (+ (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)) (* q q) 4 (* p p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (* (/ (* (- r p) (- r p)) (* q q)) 1/8) (* (/ (+ (fabs r) (fabs p)) q) 1/2)) -1) q) (- (+ (* (/ (* (- r p) (- r p)) (* q q)) 1/8) (* (/ (+ (fabs r) (fabs p)) q) 1/2)) -1) (+ (* (/ (* (- r p) (- r p)) (* q q)) 1/8) (* (/ (+ (fabs r) (fabs p)) q) 1/2)) (/ (* (- r p) (- r p)) (* q q)) (* (- r p) (- r p)) (- r p) 1/8 (* (/ (+ (fabs r) (fabs p)) q) 1/2) (/ (+ (fabs r) (fabs p)) q) -1)
10.0ms	p	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) (+ (fabs (- r p)) (fabs r)) (fabs (- r p)) (- r p) (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)))))) (* p 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1)) (neg (+ (* -1/2 (+ (fabs r) (fabs p))) q)) (+ (* -1/2 (+ (fabs r) (fabs p))) q) -1/2 (+ (fabs r) (fabs p)) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (+ (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)) (* q q) 4 (* p p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (* (/ (* (- r p) (- r p)) (* q q)) 1/8) (* (/ (+ (fabs r) (fabs p)) q) 1/2)) -1) q) (- (+ (* (/ (* (- r p) (- r p)) (* q q)) 1/8) (* (/ (+ (fabs r) (fabs p)) q) 1/2)) -1) (+ (* (/ (* (- r p) (- r p)) (* q q)) 1/8) (* (/ (+ (fabs r) (fabs p)) q) 1/2)) (/ (* (- r p) (- r p)) (* q q)) (* (- r p) (- r p)) (- r p) 1/8 (* (/ (+ (fabs r) (fabs p)) q) 1/2) (/ (+ (fabs r) (fabs p)) q) -1)
5.0ms	p	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) (+ (fabs (- r p)) (fabs r)) (fabs (- r p)) (- r p) (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)))))) (* p 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1)) (neg (+ (* -1/2 (+ (fabs r) (fabs p))) q)) (+ (* -1/2 (+ (fabs r) (fabs p))) q) -1/2 (+ (fabs r) (fabs p)) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (+ (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)) (* q q) 4 (* p p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (* (/ (* (- r p) (- r p)) (* q q)) 1/8) (* (/ (+ (fabs r) (fabs p)) q) 1/2)) -1) q) (- (+ (* (/ (* (- r p) (- r p)) (* q q)) 1/8) (* (/ (+ (fabs r) (fabs p)) q) 1/2)) -1) (+ (* (/ (* (- r p) (- r p)) (* q q)) 1/8) (* (/ (+ (fabs r) (fabs p)) q) 1/2)) (/ (* (- r p) (- r p)) (* q q)) (* (- r p) (- r p)) (- r p) 1/8 (* (/ (+ (fabs r) (fabs p)) q) 1/2) (/ (+ (fabs r) (fabs p)) q) -1)
5.0ms	p	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) (+ (fabs (- r p)) (fabs r)) (fabs (- r p)) (- r p) (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)))))) (* p 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1)) (neg (+ (* -1/2 (+ (fabs r) (fabs p))) q)) (+ (* -1/2 (+ (fabs r) (fabs p))) q) -1/2 (+ (fabs r) (fabs p)) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (+ (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)) (* q q) 4 (* p p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (* (/ (* (- r p) (- r p)) (* q q)) 1/8) (* (/ (+ (fabs r) (fabs p)) q) 1/2)) -1) q) (- (+ (* (/ (* (- r p) (- r p)) (* q q)) 1/8) (* (/ (+ (fabs r) (fabs p)) q) 1/2)) -1) (+ (* (/ (* (- r p) (- r p)) (* q q)) 1/8) (* (/ (+ (fabs r) (fabs p)) q) 1/2)) (/ (* (- r p) (- r p)) (* q q)) (* (- r p) (- r p)) (- r p) 1/8 (* (/ (+ (fabs r) (fabs p)) q) 1/2) (/ (+ (fabs r) (fabs p)) q) -1)
4.0ms	r	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) 1/2) (+ (+ (fabs (- r p)) (fabs r)) (fabs p)) (+ (fabs (- r p)) (fabs r)) (fabs (- r p)) (- r p) (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)))))) (* p 1/2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1)) (neg (+ (* -1/2 (+ (fabs r) (fabs p))) q)) (+ (* -1/2 (+ (fabs r) (fabs p))) q) -1/2 (+ (fabs r) (fabs p)) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (+ (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (sqrt (+ (* (* q q) 4) (* p p))) (+ (* (* q q) 4) (* p p)) (* q q) 4 (* p p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (* (/ (* (- r p) (- r p)) (* q q)) 1/8) (* (/ (+ (fabs r) (fabs p)) q) 1/2)) -1) q) (- (+ (* (/ (* (- r p) (- r p)) (* q q)) 1/8) (* (/ (+ (fabs r) (fabs p)) q) 1/2)) -1) (+ (* (/ (* (- r p) (- r p)) (* q q)) 1/8) (* (/ (+ (fabs r) (fabs p)) q) 1/2)) (/ (* (- r p) (- r p)) (* q q)) (* (- r p) (- r p)) (- r p) 1/8 (* (/ (+ (fabs r) (fabs p)) q) 1/2) (/ (+ (fabs r) (fabs p)) q) -1)

rewrite303.0ms (8.8%)

Memory

-57.1MiB live, 259.2MiB allocated; 115ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1094	8840
0	1136	8323
0	8106	8042
1	17673	8042

Stop Event

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

Counts

254 → 390

Calls

Call 1

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

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

eval48.0ms (1.4%)

Memory: 13.0MiB live, 103.7MiB allocated; 9ms collecting garbage
Compiler: Compiled 6 419 to 2 217 computations (65.5% saved)

prune20.0ms (0.6%)

Memory

-7.3MiB live, 44.2MiB allocated; 6ms collecting garbage

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	386	3	389
Fresh	1	2	3
Picked	3	2	5
Done	0	7	7
Total	390	14	404

Accuracy

99.7%

Counts

404 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (fabs.f64 (-.f64 r p)) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	38.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (fabs.f64 #s(approx (- r p) r)) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
	35.5%	#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)))
	32.7%	#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 q (.f64 q #s(literal 4 binary64)) (*.f64 p p)))) #s(literal 1/2 binary64)))
	39.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ ( (* q q) 4) (* p p))) (fabs.f64 p))) #s(literal 1/2 binary64)))
✓	38.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(approx (+ ( (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
✓	1.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p #s(literal 1/2 binary64)))
✓	8.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	1.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	8.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓	1.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
✓	48.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) q)))
	14.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64))))
✓	12.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg q) (+ (* (/ (+ (fabs r) (fabs p)) q) -1/2) 1)) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) q))))

Compiler

Compiled 751 to 520 computations (30.8% saved)

regimes65.0ms (1.9%)

Memory

-13.0MiB live, 78.9MiB allocated; 5ms collecting garbage

Counts

25 → 2

Calls

Call 1

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

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

Calls

7 calls:

8.0ms	r
7.0ms	q
7.0ms	p
6.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
6.0ms	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))

Results

Accuracy	Segments	Branch
82.6%	2	`(pow.f64 q #s(literal 2 binary64))`
82.6%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
78.4%	2	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
78.4%	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)))))))`
76.1%	3	`p`
74.5%	3	`r`
82.6%	2	`q`

Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes33.0ms (1%)

Memory

33.7MiB live, 33.7MiB allocated; 0ms collecting garbage

Counts

16 → 3

Calls

Call 1

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

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

Outputs

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

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

Calls

7 calls:

5.0ms	q
5.0ms	p
5.0ms	r
4.0ms	(+.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))))))
4.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Results

Accuracy	Segments	Branch
68.8%	3	`r`
74.0%	3	`p`
48.2%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
48.2%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
65.6%	3	`(pow.f64 q #s(literal 2 binary64))`
65.6%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
65.6%	3	`q`

Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes49.0ms (1.4%)

Memory

-18.9MiB live, 27.4MiB allocated; 1ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

33.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
4.0ms	p
4.0ms	q
4.0ms	r
3.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
61.4%	2	`(pow.f64 q #s(literal 2 binary64))`
61.4%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
61.4%	2	`q`
62.6%	2	`r`
57.4%	2	`p`

Compiler

Compiled 11 to 21 computations (-90.9% saved)

regimes22.0ms (0.6%)

Memory

-9.7MiB live, 34.8MiB allocated; 10ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
48.2%	1	`p`
48.2%	1	`(pow.f64 q #s(literal 2 binary64))`
48.2%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
48.2%	1	`q`
48.2%	1	`r`

Compiler

Compiled 11 to 21 computations (-90.9% saved)

regimes25.0ms (0.7%)

Memory

14.1MiB live, 56.9MiB allocated; 5ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

6.0ms	p
3.0ms	q
3.0ms	r
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
3.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
38.2%	1	`p`
39.8%	2	`r`
38.2%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
38.2%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
42.5%	2	`(pow.f64 q #s(literal 2 binary64))`
42.5%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
42.5%	2	`q`

Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes8.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
40.1%	2	`(pow.f64 q #s(literal 2 binary64))`
40.1%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
40.1%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes17.0ms (0.5%)

Memory

-9.1MiB live, 36.8MiB allocated; 2ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

3.0ms	(pow.f64 q #s(literal 2 binary64))
2.0ms	r
2.0ms	q
2.0ms	p
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Results

Accuracy	Segments	Branch
8.7%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
8.7%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
12.8%	2	`p`
12.9%	2	`r`
8.7%	1	`(pow.f64 q #s(literal 2 binary64))`
8.7%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
8.7%	1	`q`

Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes4.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	r
2.0ms	p

Results

Accuracy	Segments	Branch
8.7%	1	`p`
8.7%	1	`r`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes10.0ms (0.3%)

Memory

-19.7MiB live, 24.7MiB allocated; 5ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

3.0ms	r
1.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
1.0ms	(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
1.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
1.0ms	p

Results

Accuracy	Segments	Branch
1.1%	1	`(pow.f64 q #s(literal 2 binary64))`
1.1%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
1.1%	1	`r`
1.1%	1	`q`
1.1%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
1.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
1.1%	1	`p`

Compiler

Compiled 47 to 54 computations (-14.9% saved)

bsearch5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	7.186946104700439e+124	7.869519766779258e+124

Samples

2.0ms

32×

valid

Compiler

Compiled 145 to 144 computations (0.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-pow2: 1.0ms (60.2% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

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

bsearch37.0ms (1.1%)

Memory

17.1MiB live, 73.3MiB allocated; 26ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-1.2528463054242429e-250	-7.914022220099215e-261
6.0ms	-2.0904252002293108e+101	-1.3974774939785701e+101

Samples

15.0ms

208×

valid

Compiler

Compiled 830 to 826 computations (0.5% saved)

Precisions

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

ival-pow2: 4.0ms (37.7% of total)

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

ival-mult!: 2.0ms (18.9% of total)

ival-sub!: 1.0ms (9.4% of total)

ival-sqrt: 1.0ms (9.4% of total)

ival-add!: 1.0ms (9.4% of total)

adjust: 0.0ms (0% of total)

bsearch17.0ms (0.5%)

Memory

-11.8MiB live, 34.4MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.1813999280182945	50.59298029021112

Samples

10.0ms

112×

valid

Compiler

Compiled 452 to 451 computations (0.2% saved)

Precisions

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

ival-pow2: 2.0ms (35.2% of total)

ival-fabs: 1.0ms (17.6% of total)

ival-sqrt: 1.0ms (17.6% of total)

ival-add!: 1.0ms (17.6% of total)

ival-mult!: 1.0ms (17.6% of total)

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

adjust: 0.0ms (0% of total)

bsearch20.0ms (0.6%)

Memory

-2.3MiB live, 44.7MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	7.562515160890617e-31	6.357275261076502e-25

Samples

12.0ms

144×

valid

Compiler

Compiled 583 to 564 computations (3.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-pow2: 2.0ms (23.5% of total)

ival-mult!: 2.0ms (23.5% of total)

ival-fabs: 1.0ms (11.8% of total)

ival-sqrt: 1.0ms (11.8% of total)

ival-add!: 1.0ms (11.8% of total)

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

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.0899702822648607e-119	1.1053903275068563e-119

Compiler

Compiled 25 to 24 computations (4% saved)

bsearch22.0ms (0.6%)

Memory

-5.0MiB live, 40.8MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.860453633802071e-13	2.1813999280182945

Samples

14.0ms

160×

valid

Compiler

Compiled 445 to 464 computations (-4.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-fabs: 3.0ms (30.2% of total)

ival-pow2: 3.0ms (30.2% of total)

ival-sqrt: 1.0ms (10.1% of total)

ival-add!: 1.0ms (10.1% of total)

ival-mult!: 1.0ms (10.1% of total)

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

adjust: 0.0ms (0% of total)

derivations161.0ms (4.7%)

Memory

-15.4MiB live, 171.7MiB allocated; 13ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 174 to 87 computations (50% saved)

preprocess140.0ms (4.1%)

Memory

9.3MiB live, 195.0MiB allocated; 17ms collecting garbage

Remove

(sort p r)

(abs q)

Compiler

Compiled 2 200 to 1 627 computations (26% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (39.1%)

preprocess70.0ms (2%)

series20.0ms (0.6%)

rewrite258.0ms (7.5%)

eval33.0ms (1%)

prune16.0ms (0.5%)

series22.0ms (0.6%)

rewrite253.0ms (7.3%)

eval50.0ms (1.5%)

prune20.0ms (0.6%)

series53.0ms (1.5%)

rewrite163.0ms (4.7%)

eval20.0ms (0.6%)

prune21.0ms (0.6%)

series93.0ms (2.7%)

rewrite303.0ms (8.8%)

eval48.0ms (1.4%)

prune20.0ms (0.6%)

regimes65.0ms (1.9%)

regimes33.0ms (1%)

regimes49.0ms (1.4%)

regimes22.0ms (0.6%)

regimes25.0ms (0.7%)

regimes8.0ms (0.2%)

regimes17.0ms (0.5%)

regimes4.0ms (0.1%)

regimes10.0ms (0.3%)

bsearch5.0ms (0.1%)

bsearch37.0ms (1.1%)

bsearch17.0ms (0.5%)

bsearch20.0ms (0.6%)

bsearch0.0ms (0%)

bsearch22.0ms (0.6%)

derivations161.0ms (4.7%)

preprocess140.0ms (4.1%)

end0.0ms (0%)

Profiling