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

Time bar (total: 4.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 24 to 20 computations (16.7% saved)

sample1.4s (31.3%)

Memory
67.1MiB live, 1 637.3MiB allocated; 530ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 815.0ms
ival-mult!: 238.0ms (29.2% of total)
ival-sqrt: 182.0ms (22.3% of total)
ival-pow2: 164.0ms (20.1% of total)
ival-fabs: 137.0ms (16.8% of total)
ival-add!: 63.0ms (7.7% of total)
ival-sub!: 30.0ms (3.7% of total)
adjust: 1.0ms (0.1% of total)
Bogosity

preprocess61.0ms (1.4%)

Memory
-29.6MiB live, 61.0MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073200
1368200
21311200
37452200
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.5%
(*.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 (0.4%)

Memory
39.4MiB live, 39.4MiB 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:

TimeVariablePointExpression
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)

rewrite324.0ms (7.3%)

Memory
-0.7MiB live, 237.0MiB allocated; 74ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07225635
07405416
154945364
081715031
1246545031
Stop Event
saturated
node-limit
iter-limit
Counts
154 → 214
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 q q) #s(literal 4 binary64) (*.f64 (-.f64 p r) (-.f64 p r)))) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (-.f64 p r) (-.f64 p r)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (-.f64 p r) (-.f64 p r))))))
(fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (-.f64 p r) (-.f64 p r)))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (-.f64 p r) (-.f64 p r))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (-.f64 p r) (-.f64 p r)))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (-.f64 p r) (-.f64 p r))))))
(+.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (-.f64 p r) (-.f64 p r)))) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (-.f64 p r) (-.f64 p r))))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (-.f64 p r) (-.f64 p r)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))
(+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (-.f64 p r) (-.f64 p r)))))
(+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (-.f64 p r) (-.f64 p r))))))
(-.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r)))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 p p))
(fabs.f64 (neg.f64 p))
(fabs.f64 p)
p
(pow.f64 (*.f64 r r) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 r r))
(fabs.f64 (neg.f64 r))
(fabs.f64 r)
r
(pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (-.f64 p r) (-.f64 p r))) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (-.f64 p r) (-.f64 p r))))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (-.f64 p r) (-.f64 p r)))))
(fma.f64 (fabs.f64 (-.f64 p r)) (fabs.f64 (-.f64 p r)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (-.f64 p r)) (neg.f64 (-.f64 p r)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 p r) (-.f64 p r))) (sqrt.f64 (*.f64 (-.f64 p r) (-.f64 p r))) (*.f64 (*.f64 q q) #s(literal 4 binary64)))
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 (-.f64 p r) (-.f64 p r)))
(fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 q q) (*.f64 (-.f64 p r) (-.f64 p r)))
(-.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (neg.f64 (*.f64 (-.f64 p r) (-.f64 p r))))
(-.f64 (*.f64 (-.f64 p r) (-.f64 p r)) (*.f64 #s(literal -4 binary64) (*.f64 q q)))
(-.f64 (*.f64 (-.f64 p r) (-.f64 p r)) (neg.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64))))
(+.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (*.f64 (-.f64 p r) (-.f64 p r)))
(+.f64 (*.f64 (-.f64 p r) (-.f64 p r)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))
(*.f64 (fabs.f64 (-.f64 p r)) (fabs.f64 (-.f64 p r)))
(*.f64 (neg.f64 (-.f64 p r)) (neg.f64 (-.f64 p r)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 p r) (-.f64 p r))) (sqrt.f64 (*.f64 (-.f64 p r) (-.f64 p r))))
(*.f64 (-.f64 p r) (-.f64 p r))
(pow.f64 (neg.f64 (fabs.f64 (-.f64 p r))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (-.f64 p r))) #s(literal 2 binary64))
(pow.f64 (-.f64 r p) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (-.f64 p r)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (-.f64 p r)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 p r) (-.f64 p r))) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 p r) (-.f64 p r)) #s(literal 1 binary64))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(fabs.f64 (*.f64 (-.f64 p r) (-.f64 p r)))
(+.f64 (-.f64 (*.f64 p p) (*.f64 #s(literal 2 binary64) (*.f64 r p))) (*.f64 r r))
(neg.f64 (-.f64 r p))
(fma.f64 #s(literal -1 binary64) r p)
(fma.f64 r #s(literal -1 binary64) p)
(-.f64 p (*.f64 #s(literal 1 binary64) r))
(-.f64 p (neg.f64 (neg.f64 r)))
(-.f64 p r)
(+.f64 (neg.f64 r) p)
(+.f64 p (neg.f64 r))
(*.f64 (*.f64 q q) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 q q))
#s(literal 4 binary64)
(*.f64 (fabs.f64 q) (fabs.f64 q))
(*.f64 (neg.f64 q) (neg.f64 q))
(*.f64 q q)
(pow.f64 (neg.f64 (fabs.f64 q)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 q)) #s(literal 2 binary64))
(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))
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (/.f64 (*.f64 r p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal -1/2 binary64) (*.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 p (fma.f64 (*.f64 p (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) #s(literal 1/4 binary64) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal -1/2 binary64))) (*.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))))
#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 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) r) p) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal -1/2 binary64))) p (*.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 r p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fabs.f64 r)) (fabs.f64 p)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (fma.f64 p (fma.f64 (*.f64 p (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) #s(literal 1/2 binary64) (/.f64 (neg.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (+.f64 (fma.f64 (fma.f64 p (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) r) p) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) (/.f64 (neg.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) p (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fabs.f64 r)) (fabs.f64 p)))
#s(approx (+ (fabs p) (fabs r)) (+.f64 (fabs.f64 r) (fabs.f64 p)))
#s(approx (fabs p) (fabs.f64 p))
#s(approx p p)
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (neg.f64 (/.f64 (*.f64 r p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fma.f64 p (fma.f64 (*.f64 p (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) #s(literal 1/2 binary64) (/.f64 (neg.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fma.f64 (fma.f64 p (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) r) p) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) (/.f64 (neg.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) p (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal -2 binary64) (*.f64 r p) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) r p) p (*.f64 r r))))
#s(approx (pow (- p r) 2) (*.f64 r r))
#s(approx (pow (- p r) 2) (*.f64 (fma.f64 #s(literal -2 binary64) p r) r))
#s(approx (pow (- p r) 2) (fma.f64 (fma.f64 #s(literal -2 binary64) r p) p (*.f64 r r)))
#s(approx (- p r) (neg.f64 r))
#s(approx (- p r) (-.f64 p r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (neg.f64 r) (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (neg.f64 r) (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) (*.f64 p p))) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (neg.f64 r) (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 q q) (/.f64 r (*.f64 (*.f64 p p) p)) (/.f64 (*.f64 q q) (*.f64 p p)))) p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (+.f64 (/.f64 (neg.f64 r) p) #s(literal 1 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p)) p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (*.f64 q q) (*.f64 p p)) #s(literal 2 binary64) (/.f64 (neg.f64 r) p)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p)) #s(literal 1 binary64)) p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 q q) (/.f64 r (*.f64 (*.f64 p p) p)) (/.f64 (*.f64 q q) (*.f64 p p))) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p)) (/.f64 (neg.f64 r) p)) #s(literal 1 binary64)) p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (+.f64 (/.f64 (neg.f64 r) p) #s(literal 1 binary64)) p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 q q) (*.f64 p p)) #s(literal 2 binary64) (/.f64 (neg.f64 r) p)) #s(literal 1 binary64)) p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 q q) (/.f64 r (*.f64 (*.f64 p p) p)) (/.f64 (*.f64 q q) (*.f64 p p))) (/.f64 (neg.f64 r) p)) #s(literal 1 binary64)) p))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 p p))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 p p)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (+.f64 (fma.f64 (/.f64 r p) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 q q) (*.f64 p p)) #s(literal 4 binary64) (/.f64 (*.f64 r r) (*.f64 p p)))) #s(literal 1 binary64)) (*.f64 p p)))
#s(approx (pow (- p r) 2) (*.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))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (neg.f64 p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 p) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p)) #s(literal 1 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 p) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fma.f64 (/.f64 (*.f64 q q) p) #s(literal -2 binary64) (fabs.f64 r))) p)) #s(literal 1 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 p) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 q q (/.f64 (*.f64 (*.f64 q q) r) p))) p)) (fabs.f64 r))) r) p)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 p) (+.f64 (/.f64 (neg.f64 r) p) #s(literal 1 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 p) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 q q) p) #s(literal -2 binary64) r) p)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 p) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 q q (/.f64 (*.f64 (*.f64 q q) r) p))) p)) r) p)) #s(literal 1 binary64))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 r #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) p))) p)) #s(literal 1 binary64)) (*.f64 p p)))
#s(approx (pow (- p r) 2) (*.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 (- p r) (*.f64 (neg.f64 p) (-.f64 (/.f64 r p) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (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)))))) (fma.f64 (/.f64 (*.f64 r 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))))
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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 (* 4 (pow q 2)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))
#s(approx (pow q 2) (*.f64 q q))
#s(approx q q)
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#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (*.f64 q q) (*.f64 q q))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 p r) (-.f64 p r)) (*.f64 q q)) #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 q q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64)) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (-.f64 p r) (-.f64 p r)) (*.f64 q q)) #s(literal 1/4 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) #s(literal 2 binary64)) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (*.f64 q q) (*.f64 q q))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 p r) (-.f64 p r)) (*.f64 q q)) #s(literal 1/4 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) #s(literal 2 binary64)) q))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 p r) (-.f64 p r)) (*.f64 q q)) #s(literal 1/4 binary64) #s(literal 2 binary64)) q))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (*.f64 q q) (*.f64 q q))) #s(literal -1/64 binary64) (*.f64 (/.f64 (*.f64 (-.f64 p r) (-.f64 p r)) (*.f64 q q)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) q))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (*.f64 q q) (*.f64 q q))) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 q q) (*.f64 q q)) (*.f64 q q))) #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 (-.f64 p r) (-.f64 p r)) (*.f64 q q)) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) q))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 p r) (-.f64 p r)) (*.f64 q q)) #s(literal 4 binary64)) (*.f64 q q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 q) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 q) (+.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (-.f64 p r) (-.f64 p r)) q) #s(literal -1/8 binary64))) q)) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 (*.f64 q (+.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 q q)) #s(literal -1/128 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 p r) (-.f64 p r)))) q))) q)) #s(literal 1 binary64)))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -2 binary64) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 q) (+.f64 (neg.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) #s(literal 2 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 q) (+.f64 (neg.f64 (/.f64 (+.f64 (fabs.f64 p) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (-.f64 p r) (-.f64 p r)) q) (fabs.f64 r))) q)) #s(literal 2 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 q q)) #s(literal -1/64 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 p r) (-.f64 p r)))) q))) q)) #s(literal 2 binary64)) q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 q) (fma.f64 (/.f64 (*.f64 (-.f64 p r) (-.f64 p r)) (*.f64 q q)) #s(literal 1/4 binary64) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 q) (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (*.f64 q q) (*.f64 q q))) #s(literal -1/64 binary64) (*.f64 (/.f64 (*.f64 (-.f64 p r) (-.f64 p r)) (*.f64 q q)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 q) (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (*.f64 q q) (*.f64 q q))) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 q q) (*.f64 q q)) (*.f64 q q))) #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 (-.f64 p r) (-.f64 p r)) (*.f64 q q)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))

eval30.0ms (0.7%)

Memory
-27.2MiB live, 62.7MiB allocated; 10ms collecting garbage
Compiler

Compiled 3 583 to 1 127 computations (68.5% saved)

prune11.0ms (0.2%)

Memory
30.1MiB live, 30.1MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New18714201
Fresh000
Picked101
Done000
Total18814202
Accuracy
99.0%
Counts
202 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 #s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 p p)))))
30.6%
(*.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)))
2.9%
#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))
60.6%
#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))
38.3%
#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))
31.1%
#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)))
2.9%
#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))))
10.4%
#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))))
61.1%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
8.9%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
1.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
1.9%
#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))
1.2%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
Compiler

Compiled 690 to 690 computations (0% saved)

series44.0ms (1%)

Memory
-16.4MiB live, 83.3MiB allocated; 10ms collecting garbage
Counts
31 → 106
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(neg.f64 p)
p
(fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p)
(+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r))
(+.f64 r (fabs.f64 p))
r
(fabs.f64 p)
(fabs.f64 r)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
(neg.f64 q)
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) p)
#s(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)))))) (*.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))))
(*.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)))
(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))
(/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r)
(+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r))
(+.f64 p (fabs.f64 p))
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 (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* 1/2 (+ r (+ (fabs p) (fabs r))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r)))))))
#s(approx (neg p) #s(hole binary64 (* -1 p)))
#s(approx p #s(hole binary64 p))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (/ (+ (* -1/2 (+ r (+ (fabs p) (fabs r)))) (* 1/2 p)) p)))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (/ (+ r (+ (fabs p) (fabs r))) p)))
#s(approx (+ (+ r (fabs p)) (fabs r)) #s(hole binary64 (+ r (+ (fabs p) (fabs r)))))
#s(approx (+ r (fabs p)) #s(hole binary64 (+ r (fabs p))))
#s(approx (fabs p) #s(hole binary64 (fabs p)))
#s(approx (* 1/2 p) #s(hole binary64 (* 1/2 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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r)))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (+ (* -1 (* r (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r))))) (* 1/2 p))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r)))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ p r)) (* -1/2 (/ (+ (fabs p) (fabs r)) r))))))
#s(approx (/ (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (/ (+ (fabs p) (fabs r)) r)))
#s(approx (/ (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))))
#s(approx (+ (+ p (fabs p)) (fabs r)) #s(hole binary64 (+ p (+ (fabs p) (fabs r)))))
#s(approx (+ p (fabs p)) #s(hole binary64 (+ p (fabs p))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* -1/2 p)))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* -1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p))))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ p r))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (* p (- (+ (* -1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))))
#s(approx (/ (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (/ p r)))
#s(approx (/ (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (* p (+ (/ 1 r) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r)))))))
#s(approx (+ (+ p (fabs p)) (fabs r)) #s(hole binary64 (* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))))
#s(approx (+ p (fabs p)) #s(hole binary64 (* p (+ 1 (/ (fabs p) p)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* -1 (* p (- (/ (* r (+ 1/2 (* -1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2)))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (* -1 (* p (+ (* -1 (/ (+ 1/2 (* -1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) p)) (* 1/2 (/ 1 r)))))))
#s(approx (/ (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (* -1 (* p (- (* -1 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (/ 1 r))))))
#s(approx (+ (+ p (fabs p)) (fabs r)) #s(hole binary64 (* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))))
#s(approx (+ p (fabs p)) #s(hole binary64 (* -1 (* p (- (* -1 (/ (fabs p) p)) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* -1/2 (/ (* p r) (sqrt (+ (* 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 (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p)))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (+ (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) (* 1/2 r))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p)))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ r p)) (* -1/2 (/ (+ (fabs p) (fabs r)) p))))))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (/ (+ (fabs p) (fabs r)) p)))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))))
#s(approx r #s(hole binary64 r))
#s(approx (fabs r) #s(hole binary64 (fabs r)))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* 1/2 (+ p (+ (fabs p) (fabs r))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))))
#s(approx (neg r) #s(hole binary64 (* -1 r)))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (/ (+ (* -1/2 (+ p (+ (fabs p) (fabs r)))) (* 1/2 r)) r)))
#s(approx (/ (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (/ (+ p (+ (fabs p) (fabs r))) r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* r (+ 1/2 (* -1 (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r))))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ r p))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p))))))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (/ r p)))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (* r (+ (/ 1 p) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r)))))))
#s(approx (+ (+ r (fabs p)) (fabs r)) #s(hole binary64 (* r (+ 1 (+ (/ (fabs p) r) (/ (fabs r) r))))))
#s(approx (+ r (fabs p)) #s(hole binary64 (* r (+ 1 (/ (fabs p) r)))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* -1/2 r)))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (+ 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 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* -1 (* r (- (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r) 1/2)))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* -1 (* r (+ (* -1 (/ (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p)))) r)) (* 1/2 (/ 1 p)))))))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (* -1 (* r (- (* -1 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (/ 1 p))))))
#s(approx (+ (+ r (fabs p)) (fabs r)) #s(hole binary64 (* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))))
#s(approx (+ r (fabs p)) #s(hole binary64 (* -1 (* r (- (* -1 (/ (fabs p) r)) 1)))))
#s(approx (* (/ 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:

TimeVariablePointExpression
9.0ms
p
@inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (neg p) p (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (/ (+ (+ r (fabs p)) (fabs r)) p) (+ (+ r (fabs p)) (fabs r)) (+ r (fabs p)) r (fabs p) (fabs r) -1/2 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (+ (fabs r) (fabs p)) 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (/ (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (+ p (fabs p)))
8.0ms
r
@-inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (neg p) p (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (/ (+ (+ r (fabs p)) (fabs r)) p) (+ (+ r (fabs p)) (fabs r)) (+ r (fabs p)) r (fabs p) (fabs r) -1/2 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (+ (fabs r) (fabs p)) 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (/ (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (+ p (fabs p)))
7.0ms
q
@-inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (neg p) p (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (/ (+ (+ r (fabs p)) (fabs r)) p) (+ (+ r (fabs p)) (fabs r)) (+ r (fabs p)) r (fabs p) (fabs r) -1/2 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (+ (fabs r) (fabs p)) 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (/ (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (+ p (fabs p)))
4.0ms
p
@-inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (neg p) p (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (/ (+ (+ r (fabs p)) (fabs r)) p) (+ (+ r (fabs p)) (fabs r)) (+ r (fabs p)) r (fabs p) (fabs r) -1/2 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (+ (fabs r) (fabs p)) 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (/ (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (+ p (fabs p)))
4.0ms
p
@0
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (neg p) p (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (/ (+ (+ r (fabs p)) (fabs r)) p) (+ (+ r (fabs p)) (fabs r)) (+ r (fabs p)) r (fabs p) (fabs r) -1/2 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) (/ (+ (fabs r) (fabs p)) q) (+ (fabs r) (fabs p)) 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (/ (+ (+ p (fabs p)) (fabs r)) r) (+ (+ p (fabs p)) (fabs r)) (+ p (fabs p)))

rewrite186.0ms (4.2%)

Memory
0.7MiB live, 187.9MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05263657
05653506
136043482
081733357
1238833357
Stop Event
saturated
node-limit
iter-limit
Counts
137 → 253
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(neg.f64 p)
p
(fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p)
(+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r))
(+.f64 r (fabs.f64 p))
r
(fabs.f64 p)
(fabs.f64 r)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
(neg.f64 q)
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) p)
#s(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)))))) (*.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))))
(*.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)))
(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))
(/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r)
(+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r))
(+.f64 p (fabs.f64 p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #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 (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* 1/2 (+ r (+ (fabs p) (fabs r))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r)))))))
#s(approx (neg p) #s(hole binary64 (* -1 p)))
#s(approx p #s(hole binary64 p))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (/ (+ (* -1/2 (+ r (+ (fabs p) (fabs r)))) (* 1/2 p)) p)))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (/ (+ r (+ (fabs p) (fabs r))) p)))
#s(approx (+ (+ r (fabs p)) (fabs r)) #s(hole binary64 (+ r (+ (fabs p) (fabs r)))))
#s(approx (+ r (fabs p)) #s(hole binary64 (+ r (fabs p))))
#s(approx (fabs p) #s(hole binary64 (fabs p)))
#s(approx (* 1/2 p) #s(hole binary64 (* 1/2 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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r)))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (+ (* -1 (* r (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r))))) (* 1/2 p))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r)))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ p r)) (* -1/2 (/ (+ (fabs p) (fabs r)) r))))))
#s(approx (/ (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (/ (+ (fabs p) (fabs r)) r)))
#s(approx (/ (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))))
#s(approx (+ (+ p (fabs p)) (fabs r)) #s(hole binary64 (+ p (+ (fabs p) (fabs r)))))
#s(approx (+ p (fabs p)) #s(hole binary64 (+ p (fabs p))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* -1/2 p)))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* -1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p))))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ p r))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (* p (- (+ (* -1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))))
#s(approx (/ (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (/ p r)))
#s(approx (/ (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (* p (+ (/ 1 r) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r)))))))
#s(approx (+ (+ p (fabs p)) (fabs r)) #s(hole binary64 (* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))))
#s(approx (+ p (fabs p)) #s(hole binary64 (* p (+ 1 (/ (fabs p) p)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* -1 (* p (- (/ (* r (+ 1/2 (* -1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2)))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (* -1 (* p (+ (* -1 (/ (+ 1/2 (* -1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) p)) (* 1/2 (/ 1 r)))))))
#s(approx (/ (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (* -1 (* p (- (* -1 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (/ 1 r))))))
#s(approx (+ (+ p (fabs p)) (fabs r)) #s(hole binary64 (* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))))
#s(approx (+ p (fabs p)) #s(hole binary64 (* -1 (* p (- (* -1 (/ (fabs p) p)) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* -1/2 (/ (* p r) (sqrt (+ (* 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 (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p)))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (+ (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) (* 1/2 r))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p)))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ r p)) (* -1/2 (/ (+ (fabs p) (fabs r)) p))))))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (/ (+ (fabs p) (fabs r)) p)))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (+ (/ r p) (+ (/ (fabs p) p) (/ (fabs r) p)))))
#s(approx r #s(hole binary64 r))
#s(approx (fabs r) #s(hole binary64 (fabs r)))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* 1/2 (+ p (+ (fabs p) (fabs r))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))))
#s(approx (neg r) #s(hole binary64 (* -1 r)))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (/ (+ (* -1/2 (+ p (+ (fabs p) (fabs r)))) (* 1/2 r)) r)))
#s(approx (/ (+ (+ p (fabs p)) (fabs r)) r) #s(hole binary64 (/ (+ p (+ (fabs p) (fabs r))) r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* r (+ 1/2 (* -1 (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r))))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ r p))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p))))))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (/ r p)))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (* r (+ (/ 1 p) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r)))))))
#s(approx (+ (+ r (fabs p)) (fabs r)) #s(hole binary64 (* r (+ 1 (+ (/ (fabs p) r) (/ (fabs r) r))))))
#s(approx (+ r (fabs p)) #s(hole binary64 (* r (+ 1 (/ (fabs p) r)))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* -1/2 r)))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (+ 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 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* -1 (* r (- (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r) 1/2)))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* -1 (* r (+ (* -1 (/ (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p)))) r)) (* 1/2 (/ 1 p)))))))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) #s(hole binary64 (* -1 (* r (- (* -1 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (/ 1 p))))))
#s(approx (+ (+ r (fabs p)) (fabs r)) #s(hole binary64 (* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))))
#s(approx (+ r (fabs p)) #s(hole binary64 (* -1 (* r (- (* -1 (/ (fabs p) r)) 1)))))
#s(approx (* (/ 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 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 p)))
(*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) p) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) p))
(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 p))
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) p))
(fma.f64 (*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64)) (neg.f64 p) (*.f64 #s(literal 1/2 binary64) (neg.f64 p)))
(fma.f64 (neg.f64 p) (*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64)) (*.f64 (neg.f64 p) #s(literal 1/2 binary64)))
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#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(literal 1/2 binary64))
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#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64)))
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#s(approx (/ (+ (+ p (fabs p)) (fabs r)) r) (/.f64 p r))
#s(approx (/ (+ (+ p (fabs p)) (fabs r)) r) (*.f64 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 r p)) (/.f64 #s(literal 1 binary64) r)) p))
#s(approx (+ (+ p (fabs p)) (fabs r)) (*.f64 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1 binary64)) p))
#s(approx (+ p (fabs p)) (*.f64 (+.f64 (/.f64 (fabs.f64 p) p) #s(literal 1 binary64)) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 p)))
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#s(approx (+ (+ p (fabs p)) (fabs r)) (*.f64 (neg.f64 p) (-.f64 (neg.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p)) #s(literal 1 binary64))))
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#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (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 (/ (+ (+ r (fabs p)) (fabs r)) p) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p))
#s(approx r r)
#s(approx (fabs r) (fabs.f64 r))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64)))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) r)))
#s(approx (neg r) (neg.f64 r))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (/.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal -1/2 binary64) (*.f64 r #s(literal 1/2 binary64))) r))
#s(approx (/ (+ (+ p (fabs p)) (fabs r)) r) (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (neg.f64 p) (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
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#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))
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#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r) (/.f64 #s(literal 1/2 binary64) p)) r))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) (/.f64 r p))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) (*.f64 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 r p)) (/.f64 #s(literal 1 binary64) p)) r))
#s(approx (+ (+ r (fabs p)) (fabs r)) (*.f64 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) r))
#s(approx (+ r (fabs p)) (*.f64 (+.f64 (/.f64 (fabs.f64 p) r) #s(literal 1 binary64)) r))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
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#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 r) (+.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 p) 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 (fabs.f64 p) 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 (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (*.f64 (neg.f64 r) (fma.f64 p (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (neg.f64 r) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r)) (/.f64 #s(literal 1/2 binary64) p))))
#s(approx (/ (+ (+ r (fabs p)) (fabs r)) p) (*.f64 (neg.f64 r) (-.f64 (neg.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 r p))) (/.f64 #s(literal 1 binary64) p))))
#s(approx (+ (+ r (fabs p)) (fabs r)) (*.f64 (neg.f64 r) (-.f64 (neg.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)) #s(literal 1 binary64))))
#s(approx (+ r (fabs p)) (*.f64 (neg.f64 r) (-.f64 (neg.f64 (/.f64 (fabs.f64 p) r)) #s(literal 1 binary64))))
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#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))))
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#s(approx (neg q) (neg.f64 q))
#s(approx q q)
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#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 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (*.f64 q q) (*.f64 q q))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 r p) (-.f64 r p)) (*.f64 q q)) #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 (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))
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#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))))

eval30.0ms (0.7%)

Memory
16.4MiB live, 62.3MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 205 to 1 304 computations (59.3% saved)

prune18.0ms (0.4%)

Memory
-7.6MiB live, 39.4MiB allocated; 1ms collecting garbage
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New24710257
Fresh549
Picked325
Done000
Total25516271
Accuracy
99.0%
Counts
271 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.3%
#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)))
31.1%
#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)))
1.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 r) #s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64)))))
10.4%
#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))))
7.5%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64)))))
11.8%
#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) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64))) q))
30.6%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
8.9%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(literal 1/2 binary64)))
1.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(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))
1.2%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
41.5%
#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)))
15.0%
#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))))
9.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64))))
43.6%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64))))
Compiler

Compiled 879 to 847 computations (3.6% saved)

series26.0ms (0.6%)

Memory
18.6MiB live, 65.6MiB allocated; 2ms collecting garbage
Counts
30 → 100
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)))))) (*.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)
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 p) #s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64))))
(neg.f64 p)
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64)))
(*.f64 (/.f64 r p) #s(literal -1/2 binary64))
(/.f64 r p)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64))
(+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r))
(+.f64 (fabs.f64 p) p)
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 (* -1/2 p) #s(hole binary64 (* -1/2 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 (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* 1/2 (+ r (+ (fabs p) (fabs r))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r)))))))
#s(approx (neg p) #s(hole binary64 (* -1 p)))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (/ (+ (* -1/2 (+ r (+ (fabs p) (fabs r)))) (* 1/2 p)) p)))
#s(approx (* (/ r p) -1/2) #s(hole binary64 (* -1/2 (/ r p))))
#s(approx (/ r p) #s(hole binary64 (/ r p)))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r)))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (+ (* -1 (* r (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r))))) (* 1/2 p))))
#s(approx (* (+ (+ (fabs p) p) (fabs r)) 1/2) #s(hole binary64 (* 1/2 (+ (fabs p) (fabs r)))))
#s(approx (* (+ (+ (fabs p) p) (fabs r)) 1/2) #s(hole binary64 (+ (* 1/2 p) (* 1/2 (+ (fabs p) (fabs r))))))
#s(approx (+ (+ (fabs p) p) (fabs r)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (+ (+ (fabs p) p) (fabs r)) #s(hole binary64 (+ p (+ (fabs p) (fabs r)))))
#s(approx (+ (fabs p) p) #s(hole binary64 (+ p (fabs p))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))))
#s(approx (- r p) #s(hole binary64 (* p (- (/ r p) 1))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* -1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p))))))
#s(approx (* (+ (+ (fabs p) p) (fabs r)) 1/2) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) p))))))
#s(approx (+ (+ (fabs p) p) (fabs r)) #s(hole binary64 (* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))))
#s(approx (+ (fabs p) p) #s(hole binary64 (* p (+ 1 (/ (fabs p) p)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* 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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* -1 (* p (- (/ (* r (+ 1/2 (* -1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2)))))
#s(approx (* (+ (+ (fabs p) p) (fabs r)) 1/2) #s(hole binary64 (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)))))
#s(approx (+ (+ (fabs p) p) (fabs r)) #s(hole binary64 (* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))))
#s(approx (+ (fabs p) p) #s(hole binary64 (* -1 (* p (- (* -1 (/ (fabs p) p)) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* -1/2 (/ (* p r) (sqrt (+ (* 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 (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p)))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (+ (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) (* 1/2 r))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p)))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ r p)) (* -1/2 (/ (+ (fabs p) (fabs r)) p))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* 1/2 (+ p (+ (fabs p) (fabs r))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (+ (* -1/2 r) (* 1/2 (+ p (+ (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 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 (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* r (+ 1/2 (* -1 (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r))))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* -1/2 r)))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))))
#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 (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* -1 (* r (- (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r) 1/2)))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* -1 (* r (+ (* -1 (/ (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p)))) r)) (* 1/2 (/ 1 p)))))))
#s(approx (* (/ 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 (+ 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 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 (+ (* 1/8 (/ (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)))
#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:

TimeVariablePointExpression
4.0ms
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)))))) (* -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 q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (* (/ r p) -1/2) (/ r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (* (+ (+ (fabs p) p) (fabs r)) 1/2) (+ (+ (fabs p) p) (fabs r)) (+ (fabs p) p))
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)))))) (* -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 q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (* (/ r p) -1/2) (/ r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (* (+ (+ (fabs p) p) (fabs r)) 1/2) (+ (+ (fabs p) p) (fabs r)) (+ (fabs p) p))
3.0ms
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)))))) (* -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 q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (* (/ r p) -1/2) (/ r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (* (+ (+ (fabs p) p) (fabs r)) 1/2) (+ (+ (fabs p) p) (fabs r)) (+ (fabs p) p))
3.0ms
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)))))) (* -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 q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (* (/ r p) -1/2) (/ r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (* (+ (+ (fabs p) p) (fabs r)) 1/2) (+ (+ (fabs p) p) (fabs r)) (+ (fabs p) p))
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)))))) (* -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 q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (* (/ r p) -1/2) (/ r p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (* (+ (+ (fabs p) p) (fabs r)) 1/2) (+ (+ (fabs p) p) (fabs r)) (+ (fabs p) p))

rewrite218.0ms (4.9%)

Memory
-25.3MiB live, 214.7MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05143523
05403399
135683376
087963207
1260763207
Stop Event
saturated
node-limit
iter-limit
Counts
130 → 221
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)))))) (*.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)
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 p) #s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64))))
(neg.f64 p)
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64)))
(*.f64 (/.f64 r p) #s(literal -1/2 binary64))
(/.f64 r p)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64))
(+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r))
(+.f64 (fabs.f64 p) 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 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 (* -1/2 p) #s(hole binary64 (* -1/2 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 (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* 1/2 (+ r (+ (fabs p) (fabs r))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r)))))))
#s(approx (neg p) #s(hole binary64 (* -1 p)))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (/ (+ (* -1/2 (+ r (+ (fabs p) (fabs r)))) (* 1/2 p)) p)))
#s(approx (* (/ r p) -1/2) #s(hole binary64 (* -1/2 (/ r p))))
#s(approx (/ r p) #s(hole binary64 (/ r p)))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r)))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (+ (* -1 (* r (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r))))) (* 1/2 p))))
#s(approx (* (+ (+ (fabs p) p) (fabs r)) 1/2) #s(hole binary64 (* 1/2 (+ (fabs p) (fabs r)))))
#s(approx (* (+ (+ (fabs p) p) (fabs r)) 1/2) #s(hole binary64 (+ (* 1/2 p) (* 1/2 (+ (fabs p) (fabs r))))))
#s(approx (+ (+ (fabs p) p) (fabs r)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (+ (+ (fabs p) p) (fabs r)) #s(hole binary64 (+ p (+ (fabs p) (fabs r)))))
#s(approx (+ (fabs p) p) #s(hole binary64 (+ p (fabs p))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))))
#s(approx (- r p) #s(hole binary64 (* p (- (/ r p) 1))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* p (- (* 1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) 1/2))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* -1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p))))))
#s(approx (* (+ (+ (fabs p) p) (fabs r)) 1/2) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (fabs r)) p))))))
#s(approx (+ (+ (fabs p) p) (fabs r)) #s(hole binary64 (* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))))
#s(approx (+ (fabs p) p) #s(hole binary64 (* p (+ 1 (/ (fabs p) p)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* 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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* -1 (* p (- (/ (* r (+ 1/2 (* -1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2)))))
#s(approx (* (+ (+ (fabs p) p) (fabs r)) 1/2) #s(hole binary64 (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)))))
#s(approx (+ (+ (fabs p) p) (fabs r)) #s(hole binary64 (* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))))
#s(approx (+ (fabs p) p) #s(hole binary64 (* -1 (* p (- (* -1 (/ (fabs p) p)) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* -1/2 (/ (* p r) (sqrt (+ (* 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 (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p)))))))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (+ (* -1 (* p (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p))))) (* 1/2 r))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) p)))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ r p)) (* -1/2 (/ (+ (fabs p) (fabs r)) p))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* 1/2 (+ p (+ (fabs p) (fabs r))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (+ (* -1/2 r) (* 1/2 (+ p (+ (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 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 (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* r (+ 1/2 (* -1 (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r))))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* -1/2 r)))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))))
#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 (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) #s(hole binary64 (* -1 (* r (- (/ (* p (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))))) r) 1/2)))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(hole binary64 (* -1 (* r (+ (* -1 (/ (+ 1/2 (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p)))) r)) (* 1/2 (/ 1 p)))))))
#s(approx (* (/ 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 (+ 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 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 (+ (* 1/8 (/ (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)))
#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)) (*.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 (sqrt.f64 (fabs.f64 (-.f64 r p))) (sqrt.f64 (fabs.f64 (-.f64 r p))) (+.f64 (fabs.f64 r) (fabs.f64 p)))
(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 p) (neg.f64 (+.f64 (fabs.f64 (-.f64 r p)) (fabs.f64 r))))
(+.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 (sqrt.f64 (fabs.f64 (-.f64 r p))) (sqrt.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)))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 r p))) (sqrt.f64 (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 (neg.f64 r) (neg.f64 p)))
(fabs.f64 (-.f64 (*.f64 #s(literal 1 binary64) p) r))
(fabs.f64 (-.f64 (neg.f64 (neg.f64 p)) r))
(fabs.f64 (-.f64 (*.f64 #s(literal 1 binary64) r) p))
(fabs.f64 (-.f64 (neg.f64 (neg.f64 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 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)))))) (*.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)
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64))) (neg.f64 p)))
(*.f64 #s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64))) (neg.f64 p))
(*.f64 (neg.f64 p) #s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64))))
(neg.f64 (*.f64 p #s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1 binary64) p)
(*.f64 p #s(literal -1 binary64))
(neg.f64 p)
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64)))
(*.f64 (/.f64 r p) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 r p))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) r)) (neg.f64 p))
(/.f64 (*.f64 #s(literal -1/2 binary64) r) p)
(*.f64 r (/.f64 #s(literal 1 binary64) p))
(/.f64 (neg.f64 (neg.f64 r)) (neg.f64 (neg.f64 p)))
(/.f64 (neg.f64 r) (neg.f64 p))
(/.f64 r p)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)))
(fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 p #s(literal 1/2 binary64)))
(fma.f64 p #s(literal 1/2 binary64) (*.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)) (*.f64 p #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) p (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 p #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(-.f64 (*.f64 p #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 p #s(literal 1/2 binary64)))
(+.f64 (*.f64 p #s(literal 1/2 binary64)) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 r) #s(literal 1 binary64) (+.f64 (fabs.f64 p) p))
(fma.f64 (fabs.f64 p) #s(literal 1 binary64) (+.f64 p (fabs.f64 r)))
(fma.f64 #s(literal 1 binary64) (fabs.f64 r) (+.f64 (fabs.f64 p) p))
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (+.f64 p (fabs.f64 r)))
(-.f64 (+.f64 (fabs.f64 p) p) (neg.f64 (fabs.f64 r)))
(-.f64 p (neg.f64 (+.f64 (fabs.f64 r) (fabs.f64 p))))
(+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r))
(+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p)
(+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p))
(+.f64 (fabs.f64 p) (+.f64 p (fabs.f64 r)))
(+.f64 p (+.f64 (fabs.f64 r) (fabs.f64 p)))
(fma.f64 (fabs.f64 p) #s(literal 1 binary64) p)
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) p)
(-.f64 (fabs.f64 p) (neg.f64 p))
(-.f64 p (neg.f64 (fabs.f64 p)))
(+.f64 (fabs.f64 p) p)
(+.f64 p (fabs.f64 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 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (/.f64 (*.f64 r p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal -1/2 binary64) (*.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 p (fma.f64 (*.f64 p (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) #s(literal 1/4 binary64) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal -1/2 binary64))) (*.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))))
#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 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) r) p) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) (*.f64 (/.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal -1/2 binary64))) p (*.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))))
#s(approx (* (+ (+ (fabs (- 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 (* -1/2 p) (*.f64 #s(literal -1/2 binary64) 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 (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64)))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (fma.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) p)))
#s(approx (neg p) (neg.f64 p))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (/.f64 (fma.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) #s(literal -1/2 binary64) (*.f64 p #s(literal 1/2 binary64))) p))
#s(approx (* (/ r p) -1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64)))
#s(approx (/ r p) (/.f64 r p))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (fma.f64 (neg.f64 r) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 p #s(literal 1/2 binary64))))
#s(approx (* (+ (+ (fabs p) p) (fabs r)) 1/2) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)))
#s(approx (* (+ (+ (fabs p) p) (fabs r)) 1/2) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64)))
#s(approx (+ (+ (fabs p) p) (fabs r)) (+.f64 (fabs.f64 r) (fabs.f64 p)))
#s(approx (+ (+ (fabs p) p) (fabs r)) (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)))
#s(approx (+ (fabs p) p) (+.f64 (fabs.f64 p) 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) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) (*.f64 p p))) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (neg.f64 r) (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 q q) (/.f64 r (*.f64 (*.f64 p p) p)) (/.f64 (*.f64 q q) (*.f64 p p)))) p))
#s(approx (- r p) (*.f64 (-.f64 (/.f64 r p) #s(literal 1 binary64)) p))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r) p)) #s(literal 1/2 binary64)) p))
#s(approx (* (+ (+ (fabs p) p) (fabs r)) 1/2) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p))
#s(approx (+ (+ (fabs p) p) (fabs r)) (*.f64 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1 binary64)) p))
#s(approx (+ (fabs p) p) (*.f64 (+.f64 (/.f64 (fabs.f64 p) p) #s(literal 1 binary64)) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 p)))
#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 (/.f64 (neg.f64 r) p) #s(literal 1 binary64))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (neg.f64 p) (fma.f64 r (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) p) #s(literal -1/2 binary64))))
#s(approx (* (+ (+ (fabs p) p) (fabs r)) 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 p) p) (fabs r)) (*.f64 (neg.f64 p) (-.f64 (neg.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p)) #s(literal 1 binary64))))
#s(approx (+ (fabs p) p) (*.f64 (neg.f64 p) (-.f64 (neg.f64 (/.f64 (fabs.f64 p) p)) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (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)))))) (fma.f64 (/.f64 (*.f64 r 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))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 r (fma.f64 (*.f64 r (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 p p) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/4 binary64) (*.f64 (/.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))))
#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 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) r) p) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -3/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 p p) (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)))))) (*.f64 (/.f64 p (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal -1/2 binary64))) r (*.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))))
#s(approx (- r p) (-.f64 r p))
#s(approx (fabs r) (fabs.f64 r))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 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 (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (fma.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)) (*.f64 r #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64)))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.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 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 (/.f64 (neg.f64 p) r) #s(literal 1 binary64)) r))
#s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) p) r)) #s(literal 1/2 binary64)) r))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r) (/.f64 #s(literal 1/2 binary64) p)) r))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 r)))
#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 (fabs.f64 p) 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 (fabs.f64 p) 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 (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (*.f64 (neg.f64 r) (fma.f64 p (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (neg.f64 r) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r)) (/.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 (+.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) (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 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 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (*.f64 (*.f64 q q) (*.f64 q q))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 r p) (-.f64 r p)) (*.f64 q q)) #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 (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)))))) (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 r p) #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))))

eval24.0ms (0.5%)

Memory
12.4MiB live, 58.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 449 to 1 013 computations (58.6% saved)

prune17.0ms (0.4%)

Memory
6.5MiB live, 53.3MiB allocated; 2ms collecting garbage
Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New1892191
Fresh099
Picked055
Done022
Total18918207
Accuracy
99.0%
Counts
207 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.3%
#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)))
43.6%
#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)))
31.1%
#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)))
1.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 r) #s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64)))))
10.4%
#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))))
7.5%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64)))))
11.8%
#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) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64))) q))
30.6%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
8.9%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(literal 1/2 binary64)))
1.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(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))
1.2%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
41.5%
#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)))
15.0%
#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))))
6.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (sqrt.f64 (*.f64 r r))) #s(literal 1/2 binary64))))
9.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64))))
43.6%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64))))
Compiler

Compiled 863 to 833 computations (3.5% saved)

series602.0ms (13.5%)

Memory
16.8MiB live, 109.6MiB allocated; 1.4s collecting garbage
Counts
31 → 100
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) 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)
r
(fabs.f64 r)
(fabs.f64 p)
p
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.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)))))) #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) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64))
(+.f64 (fabs.f64 r) (fabs.f64 p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 r) #s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 r) #s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64))))
(neg.f64 r)
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64)))
(*.f64 (/.f64 p r) #s(literal -1/2 binary64))
(/.f64 p r)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (sqrt.f64 (*.f64 r r))) #s(literal 1/2 binary64))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (sqrt.f64 (*.f64 r r))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (sqrt.f64 (*.f64 r r))) #s(literal 1/2 binary64))
(+.f64 (+.f64 (fabs.f64 p) p) (sqrt.f64 (*.f64 r r)))
(+.f64 (fabs.f64 p) p)
(sqrt.f64 (*.f64 r r))
(*.f64 r r)
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* -1/2 (/ (* p r) (sqrt (+ (* 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 (fabs p) #s(hole binary64 (fabs p)))
#s(approx p #s(hole binary64 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)) 1/2) #s(hole binary64 (* 1/2 (+ (fabs p) (fabs r)))))
#s(approx (+ (fabs r) (fabs p)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r)))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (+ (* -1 (* r (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r))))) (* 1/2 p))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r)))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ p r)) (* -1/2 (/ (+ (fabs p) (fabs r)) r))))))
#s(approx (* (/ p r) -1/2) #s(hole binary64 (* -1/2 (/ p r))))
#s(approx (/ p r) #s(hole binary64 (/ p r)))
#s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) #s(hole binary64 (* 1/2 (+ (fabs p) (sqrt (pow r 2))))))
#s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) #s(hole binary64 (+ (* 1/2 p) (* 1/2 (+ (fabs p) (sqrt (pow r 2)))))))
#s(approx (+ (+ (fabs p) p) (sqrt (* r r))) #s(hole binary64 (+ (fabs p) (sqrt (pow r 2)))))
#s(approx (+ (+ (fabs p) p) (sqrt (* r r))) #s(hole binary64 (+ p (+ (fabs p) (sqrt (pow r 2))))))
#s(approx (+ (fabs p) p) #s(hole binary64 (+ p (fabs p))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))))
#s(approx (- r p) #s(hole binary64 (* -1 p)))
#s(approx (- r p) #s(hole binary64 (* p (- (/ r p) 1))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* -1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p))))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (* p (- (+ (* -1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))))
#s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (sqrt (pow r 2))) p))))))
#s(approx (+ (+ (fabs p) p) (sqrt (* r r))) #s(hole binary64 (* p (+ 1 (+ (/ (fabs p) p) (/ (sqrt (pow r 2)) p))))))
#s(approx (+ (fabs p) p) #s(hole binary64 (* p (+ 1 (/ (fabs p) p)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (+ (+ (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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* -1 (* p (- (/ (* r (+ 1/2 (* -1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2)))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (* -1 (* p (+ (* -1 (/ (+ 1/2 (* -1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) p)) (* 1/2 (/ 1 r)))))))
#s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) #s(hole binary64 (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (sqrt (pow r 2))) p)) 1/2)))))
#s(approx (+ (+ (fabs p) p) (sqrt (* r r))) #s(hole binary64 (* -1 (* p (- (* -1 (/ (+ (fabs p) (sqrt (pow r 2))) p)) 1)))))
#s(approx (+ (fabs p) p) #s(hole binary64 (* -1 (* p (- (* -1 (/ (fabs p) p)) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* -1/2 (/ (* p r) (sqrt (+ (* 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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* 1/2 (+ p (+ (fabs p) (fabs r))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))))
#s(approx (neg r) #s(hole binary64 (* -1 r)))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (/ (+ (* -1/2 (+ p (+ (fabs p) (fabs r)))) (* 1/2 r)) r)))
#s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) #s(hole binary64 (* 1/2 (+ p (fabs p)))))
#s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) #s(hole binary64 (+ (* 1/2 r) (* 1/2 (+ p (fabs p))))))
#s(approx (+ (+ (fabs p) p) (sqrt (* r r))) #s(hole binary64 (+ p (+ r (fabs p)))))
#s(approx (* r r) #s(hole binary64 (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 (* 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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
#s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ p (fabs p)) r))))))
#s(approx (+ (+ (fabs p) p) (sqrt (* r r))) #s(hole binary64 (* r (+ 1 (+ (/ p r) (/ (fabs 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 (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (fabs p)) r)))))))
#s(approx (+ (+ (fabs p) p) (sqrt (* r r))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (fabs 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 r) (fabs p)) q) 1/2) 1) q) #s(hole binary64 (+ q (* 1/2 (+ (fabs p) (fabs r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* 1/8 (/ (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 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) #s(hole binary64 (* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))))
Calls

9 calls:

TimeVariablePointExpression
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) r (fabs r) (fabs p) p 1/2 (* (/ 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)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* (+ (fabs r) (fabs p)) 1/2) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (* (/ p r) -1/2) (/ p r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) (+ (+ (fabs p) p) (sqrt (* r r))) (+ (fabs p) p) (sqrt (* r r)) (* r r))
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 (fabs r) (fabs p) p 1/2 (* (/ 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)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* (+ (fabs r) (fabs p)) 1/2) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (* (/ p r) -1/2) (/ p r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) (+ (+ (fabs p) p) (sqrt (* r r))) (+ (fabs p) p) (sqrt (* r r)) (* r r))
3.0ms
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 (fabs r) (fabs p) p 1/2 (* (/ 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)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* (+ (fabs r) (fabs p)) 1/2) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (* (/ p r) -1/2) (/ p r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) (+ (+ (fabs p) p) (sqrt (* r r))) (+ (fabs p) p) (sqrt (* r r)) (* r r))
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 (fabs r) (fabs p) p 1/2 (* (/ 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)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* (+ (fabs r) (fabs p)) 1/2) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (* (/ p r) -1/2) (/ p r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) (+ (+ (fabs p) p) (sqrt (* r r))) (+ (fabs p) p) (sqrt (* r r)) (* r r))
3.0ms
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) r (fabs r) (fabs p) p 1/2 (* (/ 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)))))) (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (* (+ (fabs r) (fabs p)) 1/2) (+ (fabs r) (fabs p)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (* (/ p r) -1/2) (/ p r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) (+ (+ (fabs p) p) (sqrt (* r r))) (+ (fabs p) p) (sqrt (* r r)) (* r r))

rewrite210.0ms (4.7%)

Memory
-50.8MiB live, 262.4MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05173490
05423311
136263287
081743137
1237703137
Stop Event
saturated
node-limit
iter-limit
Counts
131 → 241
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) 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)
r
(fabs.f64 r)
(fabs.f64 p)
p
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.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)))))) #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) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64))
(+.f64 (fabs.f64 r) (fabs.f64 p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 r) #s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 r) #s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64))))
(neg.f64 r)
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64)))
(*.f64 (/.f64 p r) #s(literal -1/2 binary64))
(/.f64 p r)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (sqrt.f64 (*.f64 r r))) #s(literal 1/2 binary64))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (sqrt.f64 (*.f64 r r))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (sqrt.f64 (*.f64 r r))) #s(literal 1/2 binary64))
(+.f64 (+.f64 (fabs.f64 p) p) (sqrt.f64 (*.f64 r r)))
(+.f64 (fabs.f64 p) p)
(sqrt.f64 (*.f64 r r))
(*.f64 r r)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* -1/2 (/ (* p r) (sqrt (+ (* 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 (fabs p) #s(hole binary64 (fabs p)))
#s(approx p #s(hole binary64 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)) 1/2) #s(hole binary64 (* 1/2 (+ (fabs p) (fabs r)))))
#s(approx (+ (fabs r) (fabs p)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r)))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (+ (* -1 (* r (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r))))) (* 1/2 p))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r)))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ p r)) (* -1/2 (/ (+ (fabs p) (fabs r)) r))))))
#s(approx (* (/ p r) -1/2) #s(hole binary64 (* -1/2 (/ p r))))
#s(approx (/ p r) #s(hole binary64 (/ p r)))
#s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) #s(hole binary64 (* 1/2 (+ (fabs p) (sqrt (pow r 2))))))
#s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) #s(hole binary64 (+ (* 1/2 p) (* 1/2 (+ (fabs p) (sqrt (pow r 2)))))))
#s(approx (+ (+ (fabs p) p) (sqrt (* r r))) #s(hole binary64 (+ (fabs p) (sqrt (pow r 2)))))
#s(approx (+ (+ (fabs p) p) (sqrt (* r r))) #s(hole binary64 (+ p (+ (fabs p) (sqrt (pow r 2))))))
#s(approx (+ (fabs p) p) #s(hole binary64 (+ p (fabs p))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))))
#s(approx (- r p) #s(hole binary64 (* -1 p)))
#s(approx (- r p) #s(hole binary64 (* p (- (/ r p) 1))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* p (+ 1/2 (* -1 (/ (* r (+ 1/2 (* -1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p))))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (* p (- (+ (* -1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))))
#s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (sqrt (pow r 2))) p))))))
#s(approx (+ (+ (fabs p) p) (sqrt (* r r))) #s(hole binary64 (* p (+ 1 (+ (/ (fabs p) p) (/ (sqrt (pow r 2)) p))))))
#s(approx (+ (fabs p) p) #s(hole binary64 (* p (+ 1 (/ (fabs p) p)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (+ (+ (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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* -1 (* p (- (/ (* r (+ 1/2 (* -1/2 (+ (/ (fabs p) r) (/ (fabs r) r))))) p) 1/2)))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (* -1 (* p (+ (* -1 (/ (+ 1/2 (* -1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) p)) (* 1/2 (/ 1 r)))))))
#s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) #s(hole binary64 (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (sqrt (pow r 2))) p)) 1/2)))))
#s(approx (+ (+ (fabs p) p) (sqrt (* r r))) #s(hole binary64 (* -1 (* p (- (* -1 (/ (+ (fabs p) (sqrt (pow r 2))) p)) 1)))))
#s(approx (+ (fabs p) p) #s(hole binary64 (* -1 (* p (- (* -1 (/ (fabs p) p)) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* -1/2 (/ (* p r) (sqrt (+ (* 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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* 1/2 (+ p (+ (fabs p) (fabs r))))))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))))
#s(approx (neg r) #s(hole binary64 (* -1 r)))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (/ (+ (* -1/2 (+ p (+ (fabs p) (fabs r)))) (* 1/2 r)) r)))
#s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) #s(hole binary64 (* 1/2 (+ p (fabs p)))))
#s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) #s(hole binary64 (+ (* 1/2 r) (* 1/2 (+ p (fabs p))))))
#s(approx (+ (+ (fabs p) p) (sqrt (* r r))) #s(hole binary64 (+ p (+ r (fabs p)))))
#s(approx (* r r) #s(hole binary64 (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 (* 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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(hole binary64 (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
#s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ p (fabs p)) r))))))
#s(approx (+ (+ (fabs p) p) (sqrt (* r r))) #s(hole binary64 (* r (+ 1 (+ (/ p r) (/ (fabs 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 (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (fabs p)) r)))))))
#s(approx (+ (+ (fabs p) p) (sqrt (* r r))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (fabs 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 r) (fabs p)) q) 1/2) 1) q) #s(hole binary64 (+ q (* 1/2 (+ (fabs p) (fabs r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* 1/8 (/ (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 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) #s(hole binary64 (* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))))
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.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 (sqrt.f64 (fabs.f64 r)) (sqrt.f64 (fabs.f64 r)) (fabs.f64 #s(approx (- r p) 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)
r
(*.f64 (sqrt.f64 (fabs.f64 r)) (sqrt.f64 (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 (fabs.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)
p
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) 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)))))) #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) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))
(fma.f64 (fabs.f64 p) #s(literal 1/2 binary64) (*.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) (*.f64 #s(literal 1/2 binary64) (fabs.f64 r)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 p)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 r)))
(+.f64 (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (*.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (fabs.f64 r)) (sqrt.f64 (fabs.f64 r)) (fabs.f64 p))
(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(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64))) (neg.f64 r)))
(*.f64 #s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64))) (neg.f64 r))
(*.f64 (neg.f64 r) #s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64))))
(neg.f64 (*.f64 r #s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1 binary64) r)
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(fabs.f64 (*.f64 (neg.f64 r) r))
(fabs.f64 (*.f64 (fabs.f64 r) r))
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(fabs.f64 (*.f64 r (fabs.f64 r)))
(fabs.f64 (neg.f64 (*.f64 r r)))
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#s(approx (- r p) r)
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#s(approx (* r r) (*.f64 r r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (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 (/.f64 (neg.f64 p) r) #s(literal 1 binary64)) r))
#s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) r))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
#s(approx (+ (+ (fabs p) p) (sqrt (* r r))) (*.f64 (+.f64 (/.f64 (+.f64 (fabs.f64 p) p) r) #s(literal 1 binary64)) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 r)))
#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 (fabs.f64 p) 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 (fabs.f64 p) 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 (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (+.f64 (fabs.f64 p) p) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (+ (fabs p) p) (sqrt (* r r))) (*.f64 (neg.f64 r) (+.f64 (neg.f64 (/.f64 (+.f64 (fabs.f64 p) 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) (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)))))) 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 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (*.f64 (*.f64 q q) (*.f64 q q))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 r p) (-.f64 r p)) (*.f64 q q)) #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 (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)))))) (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 r p) #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))))

eval30.0ms (0.7%)

Memory
26.2MiB live, 70.7MiB allocated; 10ms collecting garbage
Compiler

Compiled 2 576 to 1 126 computations (56.3% saved)

prune31.0ms (0.7%)

Memory
0.7MiB live, 51.3MiB allocated; 18ms collecting garbage
Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New2075212
Fresh156
Picked235
Done257
Total21218230
Accuracy
99.0%
Counts
230 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.3%
#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)))
42.9%
#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)))
43.4%
#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)) (*.f64 (sqrt.f64 (fabs.f64 r)) (sqrt.f64 (fabs.f64 r)))) (fabs.f64 p)) #s(literal 1/2 binary64)))
43.6%
#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)))
31.1%
#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)))
10.4%
#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))))
7.5%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64)))))
8.9%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(literal 1/2 binary64)))
1.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(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))
1.2%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
41.5%
#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)))
15.0%
#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))))
8.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 #s(approx (+ (+ (fabs p) p) (sqrt (* r r))) (+.f64 (+.f64 r (fabs.f64 p)) p)) #s(literal 1/2 binary64))))
2.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)))))
43.6%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64))))
30.6%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q)
Compiler

Compiled 989 to 695 computations (29.7% saved)

regimes116.0ms (2.6%)

Memory
-29.0MiB live, 153.8MiB allocated; 69ms collecting garbage
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (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 r #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 #s(approx (+ (+ (fabs p) p) (sqrt (* r r))) (+.f64 (+.f64 r (fabs.f64 p)) p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 (+.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 (neg.f64 p) #s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 r) #s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.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)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (sqrt.f64 (*.f64 r r))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #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))) q))
#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))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 #s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 p p)))))
#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)) (*.f64 (sqrt.f64 (fabs.f64 r)) (sqrt.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 (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 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 (fma.f64 (/.f64 (+.f64 (+.f64 (neg.f64 p) (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.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 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.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:

24.0ms
(+.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))))))
15.0ms
q
15.0ms
p
8.0ms
r
7.0ms
(*.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
AccuracySegmentsBranch
88.5%2(pow.f64 q #s(literal 2 binary64))
88.5%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
79.8%2(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
79.8%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)))))))
72.3%1p
75.5%3r
88.5%2q
Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes60.0ms (1.3%)

Memory
32.0MiB live, 115.6MiB allocated; 37ms collecting garbage
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (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 r #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 #s(approx (+ (+ (fabs p) p) (sqrt (* r r))) (+.f64 (+.f64 r (fabs.f64 p)) p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 (+.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 (neg.f64 p) #s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 r) #s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.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)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (sqrt.f64 (*.f64 r r))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #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))) q))
Outputs
#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)))))) #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 p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64))))
Calls

7 calls:

20.0ms
p
11.0ms
(pow.f64 q #s(literal 2 binary64))
6.0ms
q
5.0ms
r
5.0ms
(*.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
AccuracySegmentsBranch
67.9%3p
72.1%3r
45.6%2(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
45.6%2(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
65.7%3(pow.f64 q #s(literal 2 binary64))
65.7%3(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
69.5%5q
Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes94.0ms (2.1%)

Memory
-2.0MiB live, 84.2MiB allocated; 123ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) 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 #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 r #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 #s(approx (+ (+ (fabs p) p) (sqrt (* r r))) (+.f64 (+.f64 r (fabs.f64 p)) p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 (+.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 (neg.f64 p) #s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 r) #s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (fabs.f64 #s(approx (- r p) r)) (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 #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)))))) #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:

56.0ms
(pow.f64 q #s(literal 2 binary64))
22.0ms
p
5.0ms
q
5.0ms
r
4.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
63.7%2(pow.f64 q #s(literal 2 binary64))
63.7%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
63.7%2q
50.9%2p
60.9%2r
Compiler

Compiled 11 to 21 computations (-90.9% saved)

regimes14.0ms (0.3%)

Memory
25.4MiB live, 25.4MiB allocated; 0ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (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 r #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 #s(approx (+ (+ (fabs p) p) (sqrt (* r r))) (+.f64 (+.f64 r (fabs.f64 p)) p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 (+.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 (neg.f64 p) #s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 r) #s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) #s(literal 1/2 binary64))))
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2)) (*.f64 (+.f64 (+.f64 r (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #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

3 calls:

5.0ms
q
4.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
4.0ms
(pow.f64 q #s(literal 2 binary64))
Results
AccuracySegmentsBranch
63.7%2(pow.f64 q #s(literal 2 binary64))
63.7%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
63.7%2q
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes38.0ms (0.9%)

Memory
9.2MiB live, 56.5MiB allocated; 15ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (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 r #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 #s(approx (+ (+ (fabs p) p) (sqrt (* r r))) (+.f64 (+.f64 r (fabs.f64 p)) p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 (+.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 (neg.f64 p) #s(approx (+ (* (/ (+ (+ r (fabs p)) (fabs r)) p) -1/2) 1/2) (*.f64 (/.f64 r p) #s(literal -1/2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 r) #s(approx (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2) (*.f64 (/.f64 p r) #s(literal -1/2 binary64)))))
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) q) (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) q)))
Calls

7 calls:

14.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
4.0ms
q
4.0ms
r
4.0ms
p
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
AccuracySegmentsBranch
41.5%1(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
41.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
41.5%1p
41.5%1r
41.5%1(pow.f64 q #s(literal 2 binary64))
41.5%1(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
41.5%1q
Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes32.0ms (0.7%)

Memory
3.1MiB live, 47.6MiB allocated; 9ms 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)))))) 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 #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 r #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #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 (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) (*.f64 #s(approx (+ (+ (fabs p) p) (sqrt (* r r))) (+.f64 (+.f64 r (fabs.f64 p)) p)) #s(literal 1/2 binary64))))
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (/ (+ (fabs r) (fabs p)) 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)))))) q)
Calls

7 calls:

11.0ms
r
4.0ms
q
3.0ms
p
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
3.0ms
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
Results
AccuracySegmentsBranch
37.6%2(pow.f64 q #s(literal 2 binary64))
37.6%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
37.6%2q
32.5%2p
30.6%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))))))
30.6%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)))))))
32.8%2r
Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes17.0ms (0.4%)

Memory
-29.8MiB live, 13.8MiB allocated; 10ms 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)))))) 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 #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 r #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (/ (+ (fabs r) (fabs p)) q) 1/2) 1) #s(literal 1 binary64)) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg r) (+ (* (/ (+ (+ p (fabs p)) (fabs r)) r) -1/2) 1/2)) #s(approx (* (+ (+ (fabs p) p) (sqrt (* r r))) 1/2) (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)))))
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q)
Calls

3 calls:

11.0ms
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
AccuracySegmentsBranch
33.7%2(pow.f64 q #s(literal 2 binary64))
33.7%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
33.7%2q
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes6.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (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))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q)
Calls

3 calls:

2.0ms
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
AccuracySegmentsBranch
33.2%2(pow.f64 q #s(literal 2 binary64))
33.2%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
33.2%2q
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes7.0ms (0.2%)

Memory
20.7MiB live, 20.7MiB allocated; 0ms collecting garbage
Accuracy

Total -18.8b remaining (-42.2%)

Threshold costs -18.8b (-42.2%)

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

5 calls:

1.0ms
q
1.0ms
r
1.0ms
p
1.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
1.0ms
(pow.f64 q #s(literal 2 binary64))
Results
AccuracySegmentsBranch
30.6%1p
30.6%1r
30.6%1q
30.6%1(pow.f64 q #s(literal 2 binary64))
30.6%1(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
Compiler

Compiled 11 to 21 computations (-90.9% saved)

bsearch68.0ms (1.5%)

Memory
-6.7MiB live, 32.1MiB allocated; 69ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
65.0ms
1.3446055386299373e+108
3.2611795118975994e+121
Samples
13.0ms160×0valid
Compiler

Compiled 625 to 624 computations (0.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-pow2: 3.0ms (35.6% of total)
ival-fabs: 2.0ms (23.7% of total)
ival-sqrt: 1.0ms (11.9% of total)
ival-add!: 1.0ms (11.9% of total)
ival-mult!: 1.0ms (11.9% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch42.0ms (0.9%)

Memory
7.0MiB live, 52.8MiB allocated; 14ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
6.518745012660554e+22
5.782201770609177e+24
26.0ms
-2.96477414070199e-246
-5.462513777278026e-248
Samples
17.0ms224×0valid
Compiler

Compiled 949 to 934 computations (1.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-pow2: 4.0ms (34.4% of total)
ival-fabs: 2.0ms (17.2% of total)
ival-add!: 2.0ms (17.2% of total)
ival-mult!: 2.0ms (17.2% of total)
ival-sub!: 1.0ms (8.6% of total)
ival-sqrt: 1.0ms (8.6% of total)
adjust: 0.0ms (0% of total)

bsearch9.0ms (0.2%)

Memory
14.3MiB live, 14.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
5.216268258949168e+44
7.887759380190072e+44
Samples
5.0ms64×0valid
Compiler

Compiled 269 to 268 computations (0.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-fabs: 1.0ms (30.4% of total)
ival-pow2: 1.0ms (30.4% of total)
ival-mult!: 1.0ms (30.4% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
5.216268258949168e+44
7.887759380190072e+44
Compiler

Compiled 305 to 296 computations (3% saved)

bsearch30.0ms (0.7%)

Memory
-14.7MiB live, 28.7MiB allocated; 14ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
6032394758116.2
5497009386299396000.0
Samples
22.0ms144×0valid
Compiler

Compiled 493 to 492 computations (0.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-pow2: 14.0ms (75% of total)
ival-fabs: 1.0ms (5.4% of total)
ival-sqrt: 1.0ms (5.4% of total)
ival-add!: 1.0ms (5.4% of total)
ival-mult!: 1.0ms (5.4% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch28.0ms (0.6%)

Memory
-20.2MiB live, 22.2MiB allocated; 16ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
2.9392556555507995e-86
1.738659010589387e-84
Samples
9.0ms112×0valid
Compiler

Compiled 305 to 318 computations (-4.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-pow2: 2.0ms (34.7% of total)
ival-fabs: 1.0ms (17.3% of total)
ival-sqrt: 1.0ms (17.3% of total)
ival-add!: 1.0ms (17.3% of total)
ival-mult!: 1.0ms (17.3% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.383028420845764e-211
1.6801668372304259e-208
Compiler

Compiled 25 to 25 computations (0% saved)

derivations431.0ms (9.7%)

Memory
34.2MiB live, 242.2MiB allocated; 266ms collecting garbage
Stop Event
fuel
Compiler

Compiled 180 to 99 computations (45% saved)

preprocess177.0ms (4%)

Memory
44.3MiB live, 221.3MiB allocated; 89ms collecting garbage
Remove

(sort p r)

Compiler

Compiled 2 416 to 1 749 computations (27.6% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...