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

Time bar (total: 4.9s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample1.7s (34.6%)

Memory
5.5MiB live, 2 479.7MiB allocated; 216ms collecting garbage
Samples
546.0ms3 181×1valid
503.0ms2 209×2valid
287.0ms2 866×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-pow2: 269.0ms (26.6% of total)
adjust: 240.0ms (23.7% of total)
ival-sqrt: 145.0ms (14.3% of total)
ival-mult!: 119.0ms (11.8% of total)
ival-fabs: 90.0ms (8.9% of total)
ival-add!: 76.0ms (7.5% of total)
ival-sub!: 73.0ms (7.2% of total)
Bogosity

preprocess37.0ms (0.7%)

Memory
-17.7MiB live, 28.9MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073205
1503184
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.2%
(*.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)))))))
Symmetry

(abs q)

Compiler

Compiled 44 to 36 computations (18.2% saved)

series308.0ms (6.2%)

Memory
11.7MiB live, 346.5MiB allocated; 17ms 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)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 p (-.f64 (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))
#s(approx (+ (fabs p) (fabs r)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#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 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (fma.f64 p (+.f64 p (*.f64 #s(literal -2 binary64) r)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (pow (- p r) 2) (pow.f64 r #s(literal 2 binary64)))
#s(approx (pow (- p r) 2) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (pow.f64 r #s(literal 2 binary64))))
#s(approx (pow (- p r) 2) (fma.f64 p (+.f64 p (*.f64 #s(literal -2 binary64) r)) (pow.f64 r #s(literal 2 binary64))))
#s(approx (- p r) (*.f64 #s(literal -1 binary64) 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 p (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) 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 p (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) 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 p (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p)))) #s(literal 1/2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) p))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 p (-.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 p (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 p (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow.f64 p #s(literal 2 binary64)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 r p)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 r p) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (pow (- p r) 2) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 r p) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 (pow.f64 q #s(literal 2 binary64)) 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 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (*.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) p) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))) p)) #s(literal 1/2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p)))) r) p)) #s(literal 1 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p)) (*.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) p)))) r) p)) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))) p))))))
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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 #s(literal -2 binary64) (*.f64 p r) (pow.f64 p #s(literal 2 binary64))))
#s(approx (pow (- p r) 2) (fma.f64 r (+.f64 r (*.f64 #s(literal -2 binary64) p)) (pow.f64 p #s(literal 2 binary64))))
#s(approx (- p r) (+.f64 p (*.f64 #s(literal -1 binary64) r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
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#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
#s(approx (* 4 (pow q 2)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
#s(approx (pow q 2) (pow.f64 q #s(literal 2 binary64)))
#s(approx q q)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (fma.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) 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 q (-.f64 (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q)) #s(literal 2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 q (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q))) #s(literal 2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 q (-.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q)))) q)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)))) q)) #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))))
Calls

9 calls:

TimeVariablePoint
3.0ms
q
0
2.0ms
p
0
2.0ms
r
inf
2.0ms
p
-inf
2.0ms
p
inf

rewrite213.0ms (4.3%)

Memory
-6.8MiB live, 186.3MiB allocated; 29ms collecting garbage
Counts
18 → 87
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(-.f64 p r)
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
#s(literal 4 binary64)
(pow.f64 q #s(literal 2 binary64))
q
Outputs
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))))
(*.f64 (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))) (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))))
(*.f64 (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))) (fma.f64 q #s(literal 4 binary64) (-.f64 p r)))
(*.f64 (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))) #s(literal 1 binary64))
(*.f64 (fma.f64 q #s(literal 4 binary64) (-.f64 p r)) (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (fabs.f64 #s(literal 1 binary64)) (fabs.f64 #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (fabs.f64 #s(literal 1 binary64)) (fabs.f64 #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (fabs.f64 #s(literal 1 binary64)) (fabs.f64 #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))))
(*.f64 (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))) (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))))
(*.f64 (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))) (fma.f64 q #s(literal 4 binary64) (-.f64 p r)))
(*.f64 (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))) #s(literal 1 binary64))
(*.f64 (fma.f64 q #s(literal 4 binary64) (-.f64 p r)) (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))))
(*.f64 (-.f64 p r) (-.f64 p r))
(*.f64 (fma.f64 (-.f64 p r) p r) (-.f64 p r))
(*.f64 (-.f64 p r) (-.f64 (neg.f64 r) p))
(*.f64 (-.f64 p r) (fma.f64 (-.f64 p r) p r))
(fabs.f64 (-.f64 p r))
p
(*.f64 p #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) p)
(*.f64 p p)
(fabs.f64 p)
p
(*.f64 p #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) p)
(*.f64 p p)
(fabs.f64 p)
r
(*.f64 r r)
(*.f64 (neg.f64 r) (neg.f64 r))
(*.f64 (pow.f64 (neg.f64 r) #s(literal 3 binary64)) (pow.f64 (neg.f64 r) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)))
r
(*.f64 r r)
(*.f64 (neg.f64 r) (neg.f64 r))
(*.f64 (pow.f64 (neg.f64 r) #s(literal 3 binary64)) (pow.f64 (neg.f64 r) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 q #s(literal 4 binary64) (-.f64 p r)) (fma.f64 q #s(literal 4 binary64) (-.f64 p r)))
(*.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q)) (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q)))
(*.f64 (sqrt.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q))) (sqrt.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q))))
(*.f64 (pow.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q)) #s(literal 3 binary64)) (pow.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q)) (*.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))) (pow.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q)) (*.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 q #s(literal 4 binary64) (-.f64 p r)) (fma.f64 q #s(literal 4 binary64) (-.f64 p r)))
(*.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q)) (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q)))
(*.f64 (sqrt.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q))) (sqrt.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q))))
(*.f64 (pow.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q)) #s(literal 3 binary64)) (pow.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q)) (*.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))) (pow.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q)) (*.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))))
(*.f64 (-.f64 p r) (-.f64 p r))
(*.f64 (fma.f64 (-.f64 p r) p r) (-.f64 p r))
(*.f64 (-.f64 p r) (-.f64 (neg.f64 r) p))
(*.f64 (-.f64 p r) (fma.f64 (-.f64 p r) p r))
(fabs.f64 (-.f64 p r))
(*.f64 (-.f64 p r) (-.f64 p r))
(*.f64 (fma.f64 (-.f64 p r) p r) (-.f64 p r))
(*.f64 (-.f64 p r) (-.f64 (neg.f64 r) p))
(*.f64 (-.f64 p r) (fma.f64 (-.f64 p r) p r))
(fabs.f64 (-.f64 p r))
(*.f64 #s(literal 4 binary64) q)
(*.f64 q #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) q) q)
(*.f64 q (*.f64 #s(literal 4 binary64) q))
(*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) q)) (neg.f64 q))
#s(literal 4 binary64)
(neg.f64 (neg.f64 #s(literal 4 binary64)))
q
(*.f64 q q)
(*.f64 (neg.f64 q) (neg.f64 q))
(*.f64 (pow.f64 (neg.f64 q) #s(literal 3 binary64)) (pow.f64 (neg.f64 q) #s(literal 3 binary64)))
(*.f64 (pow.f64 q (/.f64 #s(literal 3 binary64) #s(literal 1 binary64))) (pow.f64 q (/.f64 #s(literal 3 binary64) #s(literal 1 binary64))))
q
(*.f64 q q)
(*.f64 (neg.f64 q) (neg.f64 q))
(*.f64 (pow.f64 (neg.f64 q) #s(literal 3 binary64)) (pow.f64 (neg.f64 q) #s(literal 3 binary64)))
(*.f64 (pow.f64 q (/.f64 #s(literal 3 binary64) #s(literal 1 binary64))) (pow.f64 q (/.f64 #s(literal 3 binary64) #s(literal 1 binary64))))

eval26.0ms (0.5%)

Memory
0.3MiB live, 46.3MiB allocated; 3ms collecting garbage
Compiler

Compiled 7 389 to 1 117 computations (84.9% saved)

prune28.0ms (0.6%)

Memory
-2.2MiB live, 47.1MiB allocated; 4ms collecting garbage
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New14927176
Fresh000
Picked101
Done000
Total15027177
Accuracy
67.0%
Counts
177 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 p p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
4.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (sqrt.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q))) (sqrt.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q))))))
30.2%
(*.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 (*.f64 #s(literal 4 binary64) q) q)))))
16.2%
(*.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 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) p) (*.f64 #s(literal 2 binary64) r)) p))))))))
11.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
32.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
8.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))))
28.5%
(*.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 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
11.0%
(*.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 r (-.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
11.4%
(*.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 p (-.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p)))))))
25.1%
(*.f64 (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))) #s(literal 1 binary64))
24.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
20.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
22.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
8.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) 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)))))) (*.f64 r (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)) #s(literal 1/2 binary64))))
9.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p)) #s(literal 1/2 binary64))))
4.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
4.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
4.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
3.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
7.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))))
7.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) r) (*.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) r) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))) r)) #s(literal 1/2 binary64)))))
2.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
0.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))
7.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1/2 binary64)))))
32.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
Compiler

Compiled 2 118 to 1 500 computations (29.2% saved)

series316.0ms (6.4%)

Memory
31.9MiB live, 360.2MiB allocated; 21ms collecting garbage
Counts
41 → 179
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
(*.f64 #s(literal -1 binary64) q)
#s(literal -1 binary64)
q
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
(*.f64 #s(literal -1/2 binary64) p)
#s(literal -1/2 binary64)
p
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64))))
(*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))
(/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
(fabs.f64 r)
r
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))
(*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))
(*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))
(*.f64 #s(literal -1 binary64) (/.f64 p r))
(/.f64 p r)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64))))
(*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64)))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)))
(/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))
(pow.f64 q #s(literal 2 binary64))
(pow.f64 r #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p))
(*.f64 #s(literal -1 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) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (* -1/2 p) (*.f64 #s(literal -1/2 binary64) p))
#s(approx p p)
#s(approx (* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
#s(approx (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64))))
#s(approx (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))
#s(approx (* -1/2 (/ (+ (fabs p) (fabs r)) q)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))
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#s(approx (* -1 q) (*.f64 #s(literal -1 binary64) q))
#s(approx q q)
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#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)))) q)) #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))))
Calls

9 calls:

TimeVariablePoint
8.0ms
q
0
7.0ms
p
inf
7.0ms
r
inf
5.0ms
p
0
5.0ms
r
-inf

rewrite282.0ms (5.7%)

Memory
-2.6MiB live, 255.3MiB allocated; 68ms collecting garbage
Counts
41 → 174
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
(*.f64 #s(literal -1 binary64) q)
#s(literal -1 binary64)
q
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
(*.f64 #s(literal -1/2 binary64) p)
#s(literal -1/2 binary64)
p
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64))))
(*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))
(/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
(fabs.f64 r)
r
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))
(*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))
(*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))
(*.f64 #s(literal -1 binary64) (/.f64 p r))
(/.f64 p r)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64))))
(*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64)))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)))
(/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))
(pow.f64 q #s(literal 2 binary64))
(pow.f64 r #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p))
(*.f64 #s(literal -1 binary64) p)
Outputs
#s(approx (- (+ r p) (* q 4)) (neg.f64 q))
(*.f64 #s(literal -1 binary64) q)
(*.f64 q #s(literal -1 binary64))
(*.f64 (neg.f64 q) q)
(*.f64 (*.f64 (neg.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) q)
(*.f64 q (neg.f64 q))
#s(literal -1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(literal -1 binary64)) #s(literal 1 binary64))
q
(*.f64 q q)
(*.f64 (neg.f64 #s(literal -1 binary64)) q)
(*.f64 (neg.f64 q) (neg.f64 q))
(*.f64 (neg.f64 q) #s(literal -1 binary64))
#s(approx (- (+ r p) (* q 4)) (*.f64 #s(literal -1/2 binary64) p))
(*.f64 #s(literal -1/2 binary64) p)
(*.f64 p #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) p) p)
(*.f64 (*.f64 #s(literal -1/2 binary64) p) (fabs.f64 #s(literal -1 binary64)))
(*.f64 (fabs.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) p))
#s(literal -1/2 binary64)
(*.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(/.f64 #s(literal -1/2 binary64) #s(literal 1 binary64))
p
(*.f64 #s(literal -1 binary64) p)
(*.f64 p #s(literal -1 binary64))
(*.f64 p #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) p)
#s(approx (- (+ r p) (* q 4)) (*.f64 (fma.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q #s(literal 1 binary64)) q))
(*.f64 (/.f64 (neg.f64 q) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q #s(literal 1 binary64)) (neg.f64 q))
(*.f64 (fma.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q #s(literal 1 binary64)) q)
(*.f64 q (fma.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q #s(literal 1 binary64)))
(*.f64 (neg.f64 q) (fma.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 q) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q #s(literal 1 binary64)) (neg.f64 q))
(*.f64 (fma.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q #s(literal 1 binary64)) q)
(*.f64 q (fma.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q #s(literal 1 binary64)))
(*.f64 (neg.f64 q) (fma.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 r p) (/.f64 #s(literal -1/2 binary64) q))
(*.f64 (/.f64 #s(literal -1/2 binary64) q) (-.f64 r p))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 r p) q))
(*.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q)
(*.f64 (*.f64 (*.f64 (-.f64 r p) #s(literal -1/2 binary64)) q) (/.f64 (-.f64 r p) q))
(*.f64 (/.f64 (-.f64 r p) q) (/.f64 (-.f64 r p) q))
(*.f64 (/.f64 (-.f64 r p) q) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 r p) q))
(*.f64 (-.f64 r p) (/.f64 (-.f64 r p) q))
(*.f64 (fabs.f64 (/.f64 (-.f64 r p) q)) (fabs.f64 (/.f64 (-.f64 r p) q)))
(*.f64 (neg.f64 #s(literal -1 binary64)) (-.f64 r p))
(*.f64 (fabs.f64 #s(literal -1 binary64)) (-.f64 r p))
(*.f64 (-.f64 r p) (-.f64 r p))
(*.f64 (-.f64 r p) (*.f64 (neg.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 r p) (fabs.f64 #s(literal -1 binary64)))
p
(*.f64 #s(literal -1 binary64) p)
(*.f64 p #s(literal -1 binary64))
(*.f64 p #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) p)
r
(*.f64 r #s(literal -1 binary64))
(*.f64 r #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) r)
(*.f64 #s(literal 1 binary64) r)
r
(*.f64 r #s(literal -1 binary64))
(*.f64 r #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) r)
(*.f64 #s(literal 1 binary64) r)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 r p) #s(approx (- (+ r p) (* q 4)) (*.f64 r p))))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) #s(literal 1 binary64))
(-.f64 (-.f64 r p) #s(approx (- (+ r p) (* q 4)) (*.f64 r p)))
#s(approx (- (+ r p) (* q 4)) (*.f64 r p))
(*.f64 r p)
(*.f64 p r)
(*.f64 #s(literal -1 binary64) (*.f64 r p))
(*.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 r p))
(*.f64 (*.f64 r p) (*.f64 (neg.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 r p)
(*.f64 p r)
(*.f64 #s(literal -1 binary64) (*.f64 r p))
(*.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 r p))
(*.f64 (*.f64 r p) (*.f64 (neg.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 r p)
(*.f64 p r)
(*.f64 #s(literal -1 binary64) (*.f64 r p))
(*.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 r p))
(*.f64 (*.f64 r p) (*.f64 (neg.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 r p)
(*.f64 p r)
(*.f64 #s(literal -1 binary64) (*.f64 r p))
(*.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 r p))
(*.f64 (*.f64 r p) (*.f64 (neg.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 r p)
(*.f64 p r)
(*.f64 #s(literal -1 binary64) (*.f64 r p))
(*.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 r p))
(*.f64 (*.f64 r p) (*.f64 (neg.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ r p) (* q 4)) (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) r))
(*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) r)
(*.f64 r (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)))
(*.f64 (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) r) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) r) (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)))
(*.f64 (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) #s(literal 1 binary64)) r)
(*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)))
(*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)))
(*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)))
(*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)))
(*.f64 (neg.f64 #s(literal -1 binary64)) (/.f64 q r))
(*.f64 (neg.f64 q) (/.f64 q r))
(*.f64 (neg.f64 q) (/.f64 #s(literal -1 binary64) r))
(*.f64 (fabs.f64 #s(literal -1 binary64)) (/.f64 q r))
(*.f64 (/.f64 q #s(literal 1 binary64)) (/.f64 q r))
q
(*.f64 q q)
(*.f64 (neg.f64 #s(literal -1 binary64)) q)
(*.f64 (neg.f64 q) (neg.f64 q))
(*.f64 (neg.f64 q) #s(literal -1 binary64))
r
(*.f64 r #s(literal -1 binary64))
(*.f64 r #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) r)
(*.f64 #s(literal 1 binary64) r)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 r p))
(*.f64 (*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (*.f64 r p))
(*.f64 (*.f64 r #s(literal 1/2 binary64)) (-.f64 r p))
(*.f64 (*.f64 r p) (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 r p) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(neg.f64 (neg.f64 #s(literal 1/2 binary64)))
(*.f64 r p)
(*.f64 p r)
(*.f64 #s(literal -1 binary64) (*.f64 r p))
(*.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 r p))
(*.f64 (*.f64 r p) (*.f64 (neg.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(literal -1 binary64)) (-.f64 r p))
(*.f64 (fabs.f64 #s(literal -1 binary64)) (-.f64 r p))
(*.f64 (-.f64 r p) (-.f64 r p))
(*.f64 (-.f64 r p) (*.f64 (neg.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 r p) (fabs.f64 #s(literal -1 binary64)))
p
(*.f64 #s(literal -1 binary64) p)
(*.f64 p #s(literal -1 binary64))
(*.f64 p #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) p)

eval43.0ms (0.9%)

Memory
-12.1MiB live, 80.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 15 461 to 1 928 computations (87.5% saved)

prune43.0ms (0.9%)

Memory
-28.3MiB live, 68.3MiB allocated; 4ms collecting garbage
Pruning

38 alts after pruning (37 fresh and 1 done)

PrunedKeptTotal
New30419323
Fresh41822
Picked415
Done000
Total31238350
Accuracy
72.3%
Counts
350 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.2%
(*.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 (*.f64 #s(literal 4 binary64) q) q)))))
16.2%
(*.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 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) p) (*.f64 #s(literal 2 binary64) r)) p))))))))
11.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
32.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
11.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(approx (* -1 (* r (+ 1 (* -1 (/ p r))))) (+.f64 p (*.f64 #s(literal -1 binary64) r))))))
28.5%
(*.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 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
11.0%
(*.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 r (-.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
11.4%
(*.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 p (-.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p)))))))
25.1%
(*.f64 (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))) #s(literal 1 binary64))
32.6%
#s(approx (- (+ r p) (* q 4)) (neg.f64 q))
24.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
20.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
22.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
8.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) p))
6.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) r) (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r))))
6.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) p) p))
17.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 q) q))
11.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 q #s(literal 1 binary64)) (/.f64 q r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64))))
9.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 q) (/.f64 q r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64))))
32.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 q) (/.f64 #s(literal -1 binary64) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) 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)))))) (*.f64 r (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)) #s(literal 1/2 binary64))))
2.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
2.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) #s(literal 1/2 binary64))))
7.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) (*.f64 p (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (*.f64 p (pow.f64 r #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) p) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) r)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))))
5.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 p r)))))
7.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)))) #s(literal 1/2 binary64)) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) r))))))))
4.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) #s(literal -1/2 binary64))))
4.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
4.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
3.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
7.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))))
7.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) r) (*.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) r) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))) r)) #s(literal 1/2 binary64)))))
2.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (*.f64 r #s(literal -1 binary64))) q)) #s(literal 1 binary64)))))
0.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))
3.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q #s(approx (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1) #s(literal -1 binary64)))))
7.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1/2 binary64)))))
20.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r))))
2.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) (+.f64 q (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
Compiler

Compiled 3 286 to 2 257 computations (31.3% saved)

series354.0ms (7.2%)

Memory
20.4MiB live, 398.9MiB allocated; 23ms collecting garbage
Counts
35 → 188
Calls
Call 1
Inputs
#s(approx (- (+ r p) (* q 4)) (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(literal 1/2 binary64)
p
(*.f64 (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))) #s(literal 1 binary64))
(-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r)))
(-.f64 p r)
r
(fma.f64 q #s(literal 4 binary64) (-.f64 p r))
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64))))
#s(literal -1 binary64)
(*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
(fabs.f64 r)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(pow.f64 q #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
Outputs
#s(approx (- (+ r p) (* q 4)) (-.f64 r (*.f64 #s(literal 4 binary64) q)))
#s(approx (- (+ r p) (* q 4)) (-.f64 (+.f64 p r) (*.f64 #s(literal 4 binary64) q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (* 1/2 p) (*.f64 #s(literal 1/2 binary64) p))
#s(approx p p)
#s(approx (* (- (- p r) (+ (* q 4) (- p r))) 1) (*.f64 #s(literal -4 binary64) q))
#s(approx (- p r) (*.f64 #s(literal -1 binary64) r))
#s(approx (- p r) (-.f64 p r))
#s(approx (+ (* q 4) (- p r)) (-.f64 (*.f64 #s(literal 4 binary64) q) r))
#s(approx (+ (* q 4) (- p r)) (-.f64 (+.f64 p (*.f64 #s(literal 4 binary64) q)) r))
#s(approx (* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 1/2 binary64)))))
#s(approx (* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) (fma.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) p)))
#s(approx (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 1/2 binary64))))
#s(approx (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)) (fma.f64 #s(literal 1/2 binary64) p (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 1/2 binary64)))))
#s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 1/2 binary64)))
#s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (*.f64 #s(literal 1/2 binary64) (/.f64 p r))) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)))
#s(approx (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (*.f64 #s(literal 1/2 binary64) (/.f64 p r))))
#s(approx (/ (- (+ (fabs p) (fabs r)) p) r) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))
#s(approx (/ (- (+ (fabs p) (fabs r)) p) r) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))))
#s(approx (- (+ (fabs p) (fabs r)) p) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (- (+ (fabs p) (fabs r)) p) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) p))))
#s(approx (fabs p) (fabs.f64 p))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 5 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64)))))))))))))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 5 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 5 binary64))))))))))))))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (+.f64 (/.f64 (*.f64 p (*.f64 (pow.f64 q #s(literal 2 binary64)) r)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (fma.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (fma.f64 p (-.f64 (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 (/.f64 (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 5 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))))
#s(approx (sqrt (pow (- p r) 2)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))
#s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))))
#s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))))))
#s(approx (pow (- p r) 2) (pow.f64 r #s(literal 2 binary64)))
#s(approx (pow (- p r) 2) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (pow.f64 r #s(literal 2 binary64))))
#s(approx (pow (- p r) 2) (fma.f64 p (+.f64 p (*.f64 #s(literal -2 binary64) r)) (pow.f64 r #s(literal 2 binary64))))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))))))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))
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#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 p (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p)) #s(literal 1/2 binary64))))
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#s(approx (* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) p)) #s(literal 1/2 binary64))))
#s(approx (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)) (*.f64 p (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) p))))
#s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 p r)))
#s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2) (*.f64 p (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) p) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) r))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
#s(approx (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) (*.f64 p (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) p) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) r)))))
#s(approx (/ (- (+ (fabs p) (fabs r)) p) r) (*.f64 #s(literal -1 binary64) (/.f64 p r)))
#s(approx (/ (- (+ (fabs p) (fabs r)) p) r) (*.f64 p (-.f64 (+.f64 (/.f64 (fabs.f64 p) (*.f64 p r)) (/.f64 (fabs.f64 r) (*.f64 p r))) (/.f64 #s(literal 1 binary64) r))))
#s(approx (- (+ (fabs p) (fabs r)) p) (*.f64 #s(literal -1 binary64) p))
#s(approx (- (+ (fabs p) (fabs r)) p) (*.f64 p (-.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) #s(literal 1 binary64))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (pow.f64 q #s(literal 2 binary64))) p))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p))) p))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 3 binary64))) (pow.f64 p #s(literal 3 binary64))) (pow.f64 q #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64)))))) p))
#s(approx (pow (- p r) 2) (pow.f64 p #s(literal 2 binary64)))
#s(approx (pow (- p r) 2) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 r p)))))
#s(approx (pow (- p r) 2) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 r p) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (*.f64 p (-.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (- (+ r p) (* q 4)) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 r (*.f64 #s(literal 4 binary64) q)) p)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 (pow.f64 q #s(literal 2 binary64)) 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 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (*.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) p) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))) p)) #s(literal 1/2 binary64)))))
#s(approx (- p r) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (/.f64 r p) #s(literal 1 binary64)))))
#s(approx (+ (* q 4) (- p r)) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) q) r) p)) #s(literal 1 binary64)))))
#s(approx (* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) p)))))
#s(approx (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) p)) #s(literal 1/2 binary64)))))
#s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64)) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) r))))))
#s(approx (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) r))))))
#s(approx (/ (- (+ (fabs p) (fabs r)) p) r) (*.f64 #s(literal -1 binary64) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) p) (/.f64 #s(literal 1 binary64) r)))))
#s(approx (- (+ (fabs p) (fabs r)) p) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p)))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (pow.f64 q #s(literal 2 binary64))) p)))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) p)) (*.f64 (pow.f64 q #s(literal 2 binary64)) r)) p) (pow.f64 q #s(literal 2 binary64))) p)))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 3 binary64))) p) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) p)) (*.f64 (pow.f64 q #s(literal 2 binary64)) r)) p) (pow.f64 q #s(literal 2 binary64))) p)))
#s(approx (sqrt (pow (- p r) 2)) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (pow (- p r) 2) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) p) (*.f64 #s(literal 2 binary64) r)) p)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1 binary64)))))
#s(approx (- (+ r p) (* q 4)) (-.f64 p (*.f64 #s(literal 4 binary64) q)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 r (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 r (fma.f64 #s(literal 1/2 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 r (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))
#s(approx (- p r) (+.f64 p (*.f64 #s(literal -1 binary64) r)))
#s(approx r r)
#s(approx (+ (* q 4) (- p r)) (+.f64 p (*.f64 #s(literal 4 binary64) q)))
#s(approx (+ (* q 4) (- p r)) (+.f64 p (fma.f64 #s(literal -1 binary64) r (*.f64 #s(literal 4 binary64) q))))
#s(approx (* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))
#s(approx (* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) (fma.f64 #s(literal 1/2 binary64) r (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))))
#s(approx (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))
#s(approx (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)) (fma.f64 #s(literal -1/2 binary64) r (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))))
#s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)))
#s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) r (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))) r))
#s(approx (/ (- (+ (fabs p) (fabs r)) p) r) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r))
#s(approx (- (+ (fabs p) (fabs r)) p) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))
#s(approx (fabs r) (fabs.f64 r))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 5 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64)))))))))))))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 5 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 r (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 p (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 5 binary64))) (/.f64 (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))))))))))))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (+.f64 (/.f64 (*.f64 p (*.f64 (pow.f64 q #s(literal 2 binary64)) r)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (fma.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (fma.f64 r (-.f64 (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 (/.f64 (*.f64 p (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 5 binary64))) (/.f64 (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))))
#s(approx (sqrt (pow (- p r) 2)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))
#s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 r (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (pow (- p r) 2) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (pow.f64 p #s(literal 2 binary64))))
#s(approx (pow (- p r) 2) (fma.f64 r (+.f64 r (*.f64 #s(literal -2 binary64) p)) (pow.f64 p #s(literal 2 binary64))))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 r (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 r (fma.f64 #s(literal 1/2 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 r (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))))))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 r (-.f64 (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))))))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))
#s(approx (- (+ r p) (* q 4)) (*.f64 r (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 p r)) (*.f64 #s(literal 4 binary64) (/.f64 q r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)))) #s(literal 1/2 binary64))))
#s(approx (- p r) (*.f64 r (-.f64 (/.f64 p r) #s(literal 1 binary64))))
#s(approx (+ (* q 4) (- p r)) (*.f64 r (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 q r) (/.f64 p r)) #s(literal 1 binary64))))
#s(approx (* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2))) (*.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)))))
#s(approx (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64))))
#s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (pow.f64 q #s(literal 2 binary64)) r))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (+.f64 (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) r) (pow.f64 q #s(literal 2 binary64))) r))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 2 binary64))) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) r))) r))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (pow.f64 q #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) r) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 2 binary64)))))) r))
#s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))
#s(approx (pow (- p r) 2) (*.f64 (pow.f64 r #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 p r)))))
#s(approx (pow (- p r) 2) (*.f64 (pow.f64 r #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 p r) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (*.f64 r (-.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))
#s(approx (- (+ r p) (* q 4)) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 p (*.f64 #s(literal 4 binary64) q)) r)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) (/.f64 (pow.f64 q #s(literal 2 binary64)) 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(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) r) (*.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) r) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))) r)) #s(literal 1/2 binary64)))))
#s(approx (- p r) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))
#s(approx (+ (* q 4) (- p r)) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (*.f64 #s(literal 4 binary64) q)) r))))))
#s(approx (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r))))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r)))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) r) (pow.f64 q #s(literal 2 binary64))) r)))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) r)) (*.f64 p (pow.f64 q #s(literal 2 binary64)))) r) (pow.f64 q #s(literal 2 binary64))) r)))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 q #s(literal 2 binary64))) r) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))) r)) (*.f64 p (pow.f64 q #s(literal 2 binary64)))) r) (pow.f64 q #s(literal 2 binary64))) r)))
#s(approx (pow (- p r) 2) (*.f64 (pow.f64 r #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) r) (*.f64 #s(literal 2 binary64) p)) r)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1 binary64)))))
#s(approx (- (+ r p) (* q 4)) (+.f64 p r))
#s(approx (- (+ r p) (* q 4)) (+.f64 p (+.f64 r (*.f64 #s(literal -4 binary64) q))))
#s(approx (neg q) (*.f64 #s(literal -1 binary64) q))
#s(approx 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) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
#s(approx (pow q 2) (pow.f64 q #s(literal 2 binary64)))
#s(approx (- (+ r p) (* q 4)) (*.f64 q (-.f64 (+.f64 (/.f64 p q) (/.f64 r q)) #s(literal 4 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (fma.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))) #s(literal 1 binary64))))
#s(approx (+ (* q 4) (- p r)) (*.f64 #s(literal 4 binary64) q))
#s(approx (+ (* q 4) (- p r)) (*.f64 q (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 p q)) (/.f64 r q))))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 q #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (- (+ r p) (* q 4)) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 p r) q))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))
#s(approx (+ (* q 4) (- p r)) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 p r) q)) #s(literal 4 binary64)))))
Calls

9 calls:

TimeVariablePoint
5.0ms
p
0
5.0ms
r
inf
5.0ms
r
0
3.0ms
r
-inf
3.0ms
p
-inf

rewrite265.0ms (5.4%)

Memory
-1.7MiB live, 283.2MiB allocated; 33ms collecting garbage
Counts
35 → 145
Calls
Call 1
Inputs
#s(approx (- (+ r p) (* q 4)) (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(literal 1/2 binary64)
p
(*.f64 (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))) #s(literal 1 binary64))
(-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r)))
(-.f64 p r)
r
(fma.f64 q #s(literal 4 binary64) (-.f64 p r))
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64))))
#s(literal -1 binary64)
(*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
(fabs.f64 r)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(pow.f64 q #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
Outputs
#s(approx (+ 0 (* q 4)) q)
q
(*.f64 q #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) q)
(*.f64 q q)
(*.f64 (neg.f64 #s(literal -1 binary64)) q)
q
(*.f64 q #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) q)
(*.f64 q q)
(*.f64 (neg.f64 #s(literal -1 binary64)) q)
#s(approx (+ 0 (* q 4)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(neg.f64 (neg.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
p
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)) (neg.f64 r)))
(*.f64 (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)) (neg.f64 r)))
(*.f64 (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
p
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
r
(*.f64 r r)
(*.f64 (neg.f64 #s(literal -1 binary64)) r)
(*.f64 (neg.f64 r) (neg.f64 r))
(*.f64 (neg.f64 r) #s(literal -1 binary64))
(*.f64 (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)) (neg.f64 r)))
(*.f64 (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 q #s(literal 4 binary64) #s(literal 1 binary64))))
#s(literal 4 binary64)
(neg.f64 (neg.f64 #s(literal 4 binary64)))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
p
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(approx (+ 0 (* q 4)) (*.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r #s(literal 1 binary64))) #s(literal 1/2 binary64)) (neg.f64 r))
(*.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r)
(*.f64 r (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 r) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r #s(literal 1 binary64))) #s(literal 1/2 binary64))))
#s(literal -1 binary64)
(*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r #s(literal 1 binary64))) #s(literal 1/2 binary64)) r)
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) r) (fma.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (fma.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r #s(literal 1 binary64))) #s(literal -1/2 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 r #s(literal 1 binary64)))
(*.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) #s(literal -1 binary64)))
(*.f64 (*.f64 r #s(literal 1 binary64)) (neg.f64 #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 r #s(literal 1 binary64)))
#s(literal -1/2 binary64)
(*.f64 r #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) r)
(*.f64 (*.f64 #s(literal 1 binary64) #s(literal -1 binary64)) r)
(*.f64 (neg.f64 r) #s(literal 1 binary64))
(*.f64 (neg.f64 r) (*.f64 r #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
p
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
p
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
p
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
r
(*.f64 r r)
(*.f64 (neg.f64 #s(literal -1 binary64)) r)
(*.f64 (neg.f64 r) (neg.f64 r))
(*.f64 (neg.f64 r) #s(literal -1 binary64))
#s(approx (+ 0 (* q 4)) (fma.f64 q #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 q #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 q #s(literal 1 binary64))))
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 q #s(literal 1 binary64))) (fma.f64 q #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 q #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 q #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 q #s(literal 1 binary64))))
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 q #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 q #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 q #s(literal 1 binary64))))
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 q #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 q #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 q #s(literal 1 binary64)))))
(*.f64 q #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) q)
(*.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 q #s(literal 1 binary64)))
(*.f64 (*.f64 q #s(literal 1 binary64)) (*.f64 q #s(literal 1 binary64)))
(*.f64 (*.f64 q #s(literal 1 binary64)) q)
q
(*.f64 q #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) q)
(*.f64 q q)
(*.f64 (neg.f64 #s(literal -1 binary64)) q)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
p
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
p
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
p
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
p
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))

eval40.0ms (0.8%)

Memory
29.2MiB live, 74.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 15 176 to 1 797 computations (88.2% saved)

prune52.0ms (1.1%)

Memory
-2.4MiB live, 93.7MiB allocated; 5ms collecting garbage
Pruning

50 alts after pruning (47 fresh and 3 done)

PrunedKeptTotal
New25823281
Fresh82432
Picked325
Done011
Total26950319
Accuracy
84.7%
Counts
319 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.2%
(*.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 (*.f64 #s(literal 4 binary64) q) q)))))
16.2%
(*.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 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) p) (*.f64 #s(literal 2 binary64) r)) p))))))))
11.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
32.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
28.5%
(*.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 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
11.0%
(*.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 r (-.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
16.4%
(*.f64 (-.f64 (-.f64 p r) #s(approx (+ (* q 4) (- p r)) (+.f64 p (*.f64 #s(literal 4 binary64) q)))) #s(literal 1 binary64))
13.4%
#s(approx (- (+ r p) (* q 4)) (-.f64 r (*.f64 #s(literal 4 binary64) q)))
11.7%
#s(approx (- (+ r p) (* q 4)) (-.f64 p (*.f64 #s(literal 4 binary64) q)))
3.5%
#s(approx (- (+ r p) (* q 4)) (+.f64 p r))
32.6%
#s(approx (- (+ r p) (* q 4)) (neg.f64 q))
3.3%
#s(approx (- (+ r p) (* q 4)) q)
2.9%
#s(approx (+ 0 (* q 4)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
3.8%
#s(approx (+ 0 (* q 4)) (*.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r))
24.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
13.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1 binary64))))))))
13.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))))
18.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 #s(literal 2 binary64) r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 #s(literal 2 binary64)) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 #s(literal 2 binary64) r) #s(literal 2 binary64)))))))
19.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))))))
19.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))))))))
18.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))))))
16.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))))
17.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))))))
4.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
8.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) p))
6.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) r) (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r))))
6.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) p) p))
4.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
17.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 q) q))
11.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 q #s(literal 1 binary64)) (/.f64 q r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64))))
9.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 q) (/.f64 q r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64))))
32.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 q) (/.f64 #s(literal -1 binary64) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) 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)))))) (*.f64 r (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)) #s(literal 1/2 binary64))))
2.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
2.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) #s(literal 1/2 binary64))))
4.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) #s(literal -1/2 binary64))))
4.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
4.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
20.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64)))
3.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
7.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) r) (fma.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64)))))))
17.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64)) r)) #s(literal 1/2 binary64)))))
3.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (*.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
2.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (*.f64 r #s(literal -1 binary64))) q)) #s(literal 1 binary64)))))
0.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))
7.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1/2 binary64)))))
15.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 q #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
31.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
20.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r))))
2.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) (+.f64 q (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
Compiler

Compiled 4 236 to 2 741 computations (35.3% saved)

series371.0ms (7.5%)

Memory
-20.8MiB live, 450.4MiB allocated; 23ms collecting garbage
Counts
41 → 200
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
(/.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)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q)))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))
(*.f64 #s(literal 2 binary64) q)
q
#s(approx (- (+ r p) (* q 4)) q)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))
#s(literal -1 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(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64)) r)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64)) r)) #s(literal 1/2 binary64))))
(*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64)) r)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64)) r)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64)) r))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64)) r)
(-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64))
(+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r))
(fabs.f64 #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))))
(/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))
(pow.f64 q #s(literal 2 binary64))
#s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))
(*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))
(*.f64 #s(literal -1 binary64) (/.f64 p r))
(/.f64 p r)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 p (-.f64 (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))
#s(approx (+ (fabs p) (fabs r)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#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 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (- (+ r p) (* q 4)) (-.f64 r (*.f64 #s(literal 4 binary64) q)))
#s(approx (- (+ r p) (* q 4)) (-.f64 (+.f64 p r) (*.f64 #s(literal 4 binary64) q)))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 5 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64)))))))))))))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 5 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 5 binary64))))))))))))))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (+.f64 (/.f64 (*.f64 p (*.f64 (pow.f64 q #s(literal 2 binary64)) r)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (fma.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (fma.f64 p (-.f64 (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 (/.f64 (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 5 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))))
#s(approx (sqrt (pow (- p r) 2)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))
#s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))))
#s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))))))
#s(approx (* r (+ 1 (* -1 (/ p r)))) r)
#s(approx (* r (+ 1 (* -1 (/ p r)))) (+.f64 r (*.f64 #s(literal -1 binary64) p)))
#s(approx (+ 1 (* -1 (/ p r))) #s(literal 1 binary64))
#s(approx (+ 1 (* -1 (/ p r))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))
#s(approx (* -1 (/ p r)) (*.f64 #s(literal -1 binary64) (/.f64 p r)))
#s(approx (/ p r) (/.f64 p r))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))))))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 p (-.f64 (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (pow.f64 r #s(literal 2 binary64))))))))) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) 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 p (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) 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 p (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p)))) #s(literal 1/2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) p))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 p (-.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 p (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 p (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (- (+ r p) (* q 4)) (*.f64 p (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 r p)) (*.f64 #s(literal 4 binary64) (/.f64 q p)))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (pow.f64 q #s(literal 2 binary64))) p))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p))) p))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 3 binary64))) (pow.f64 p #s(literal 3 binary64))) (pow.f64 q #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64)))))) p))
#s(approx (* r (+ 1 (* -1 (/ p r)))) (*.f64 p (-.f64 (/.f64 r p) #s(literal 1 binary64))))
#s(approx (+ 1 (* -1 (/ p r))) (*.f64 p (-.f64 (/.f64 #s(literal 1 binary64) p) (/.f64 #s(literal 1 binary64) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 (pow.f64 q #s(literal 2 binary64)) 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 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (*.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) p) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))) p)) #s(literal 1/2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p)))) r) p)) #s(literal 1 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p)) (*.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) p)))) r) p)) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))) p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (*.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) p))) p))))))
#s(approx (- (+ r p) (* q 4)) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 r (*.f64 #s(literal 4 binary64) q)) p)) #s(literal 1 binary64)))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p)))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (pow.f64 q #s(literal 2 binary64))) p)))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) p)) (*.f64 (pow.f64 q #s(literal 2 binary64)) r)) p) (pow.f64 q #s(literal 2 binary64))) p)))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 3 binary64))) p) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) p)) (*.f64 (pow.f64 q #s(literal 2 binary64)) r)) p) (pow.f64 q #s(literal 2 binary64))) p)))
#s(approx (+ 1 (* -1 (/ p r))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 1 binary64) p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 r (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 r (fma.f64 #s(literal 1/2 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 r (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 r (-.f64 (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (fabs r) (fabs.f64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 r (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))
#s(approx (- (+ r p) (* q 4)) (-.f64 p (*.f64 #s(literal 4 binary64) q)))
#s(approx (* -1 (* r (- (* -1/2 (/ (- (+ (fabs 0) (fabs r)) 0) r)) 1/2))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 r)))
#s(approx (* -1 (* r (- (* -1/2 (/ (- (+ (fabs 0) (fabs r)) 0) r)) 1/2))) (fma.f64 #s(literal 1/2 binary64) r (*.f64 #s(literal 1/2 binary64) (fabs.f64 r))))
#s(approx (* r (- (* -1/2 (/ (- (+ (fabs 0) (fabs r)) 0) r)) 1/2)) (*.f64 #s(literal -1/2 binary64) (fabs.f64 r)))
#s(approx (* r (- (* -1/2 (/ (- (+ (fabs 0) (fabs r)) 0) r)) 1/2)) (fma.f64 #s(literal -1/2 binary64) r (*.f64 #s(literal -1/2 binary64) (fabs.f64 r))))
#s(approx (- (* -1/2 (/ (- (+ (fabs 0) (fabs r)) 0) r)) 1/2) (*.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 r) r)))
#s(approx (- (* -1/2 (/ (- (+ (fabs 0) (fabs r)) 0) r)) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) r (*.f64 #s(literal -1/2 binary64) (fabs.f64 r))) r))
#s(approx (/ (- (+ (fabs 0) (fabs r)) 0) r) (/.f64 (fabs.f64 r) r))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))))))))
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#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (+.f64 (/.f64 (*.f64 p (*.f64 (pow.f64 q #s(literal 2 binary64)) r)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))))
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#s(approx (sqrt (pow (- p r) 2)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))
#s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 r (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))))))
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#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (* 2 q) (*.f64 #s(literal 2 binary64) q))
#s(approx q q)
#s(approx (- (+ r p) (* q 4)) (+.f64 p r))
#s(approx (- (+ r p) (* q 4)) (+.f64 p (+.f64 r (*.f64 #s(literal -4 binary64) q))))
#s(approx (/ (pow q 2) (sqrt (pow (- p r) 2))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
#s(approx (pow q 2) (pow.f64 q #s(literal 2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (fma.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) 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 q (-.f64 (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q)) #s(literal 2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 q (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q))) #s(literal 2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 q (-.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (- (+ r p) (* q 4)) (*.f64 #s(literal -4 binary64) q))
#s(approx (- (+ r p) (* q 4)) (*.f64 q (-.f64 (+.f64 (/.f64 p q) (/.f64 r q)) #s(literal 4 binary64))))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
#s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 q #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q)))) q)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)))) q)) #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))))
#s(approx (- (+ r p) (* q 4)) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 p r) q))))))
Calls

9 calls:

TimeVariablePoint
3.0ms
r
0
3.0ms
r
-inf
2.0ms
r
inf
2.0ms
q
-inf
2.0ms
q
inf

rewrite239.0ms (4.8%)

Memory
-1.6MiB live, 239.9MiB allocated; 29ms collecting garbage
Counts
41 → 153
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
(/.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)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q)))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))
(*.f64 #s(literal 2 binary64) q)
q
#s(approx (- (+ r p) (* q 4)) q)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))
#s(literal -1 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(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64)) r)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64)) r)) #s(literal 1/2 binary64))))
(*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64)) r)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64)) r)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64)) r))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64)) r)
(-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64))
(+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r))
(fabs.f64 #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))))
(/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))
(pow.f64 q #s(literal 2 binary64))
#s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))
(*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))
(*.f64 #s(literal -1 binary64) (/.f64 p r))
(/.f64 p r)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))
Outputs
(*.f64 #s(literal 1 binary64) (-.f64 p #s(approx (+ (* -1 4) p) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
(-.f64 p #s(approx (+ (* -1 4) p) #s(literal 1 binary64)))
p
(*.f64 #s(literal 1 binary64) p)
(*.f64 p #s(literal 1 binary64))
(*.f64 p p)
(fabs.f64 p)
p
(*.f64 #s(literal 1 binary64) p)
(*.f64 p #s(literal 1 binary64))
(*.f64 p p)
(fabs.f64 p)
p
(*.f64 #s(literal 1 binary64) p)
(*.f64 p #s(literal 1 binary64))
(*.f64 p p)
(fabs.f64 p)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(approx (+ (* -1 4) p) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(approx (+ (* -1 4) p) #s(literal 1 binary64))
#s(approx (+ (* -1 4) p) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(approx (+ (* -1 4) p) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(approx (+ (* -1 4) p) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx p p)) (*.f64 #s(literal 1 binary64) (-.f64 p #s(approx p p)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx p p)) (*.f64 #s(literal 1 binary64) (-.f64 p #s(approx p p))))
(/.f64 #s(literal 1 binary64) #s(approx p p))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(approx p p)
p
(*.f64 #s(literal 1 binary64) p)
(*.f64 p #s(literal 1 binary64))
(*.f64 p p)
(fabs.f64 p)
p
(*.f64 #s(literal 1 binary64) p)
(*.f64 p #s(literal 1 binary64))
(*.f64 p p)
(fabs.f64 p)
p
(*.f64 #s(literal 1 binary64) p)
(*.f64 p #s(literal 1 binary64))
(*.f64 p p)
(fabs.f64 p)
p
(*.f64 #s(literal 1 binary64) p)
(*.f64 p #s(literal 1 binary64))
(*.f64 p p)
(fabs.f64 p)
(*.f64 #s(literal 1 binary64) (-.f64 p #s(approx p p)))
(-.f64 p #s(approx p p))

eval34.0ms (0.7%)

Memory
5.4MiB live, 51.0MiB allocated; 4ms collecting garbage
Compiler

Compiled 13 605 to 1 472 computations (89.2% saved)

prune32.0ms (0.6%)

Memory
13.2MiB live, 60.5MiB allocated; 2ms collecting garbage
Pruning

49 alts after pruning (44 fresh and 5 done)

PrunedKeptTotal
New2039212
Fresh73542
Picked325
Done033
Total21349262
Accuracy
85.8%
Counts
262 → 49
Alt Table
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StatusAccuracyProgram
30.2%
(*.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 (*.f64 #s(literal 4 binary64) q) q)))))
16.2%
(*.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 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) p) (*.f64 #s(literal 2 binary64) r)) p))))))))
32.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 p #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
28.5%
(*.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 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
11.0%
(*.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 r (-.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
16.4%
(*.f64 (-.f64 (-.f64 p r) #s(approx (+ (* q 4) (- p r)) (+.f64 p (*.f64 #s(literal 4 binary64) q)))) #s(literal 1 binary64))
6.7%
(*.f64 #s(literal 1 binary64) (-.f64 p #s(approx (+ (* -1 4) p) #s(literal 1 binary64))))
32.3%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
13.4%
#s(approx (- (+ r p) (* q 4)) (-.f64 r (*.f64 #s(literal 4 binary64) q)))
11.7%
#s(approx (- (+ r p) (* q 4)) (-.f64 p (*.f64 #s(literal 4 binary64) q)))
3.5%
#s(approx (- (+ r p) (* q 4)) (+.f64 p r))
32.6%
#s(approx (- (+ r p) (* q 4)) (neg.f64 q))
3.3%
#s(approx (- (+ r p) (* q 4)) q)
3.7%
#s(approx (+ (* -1 4) p) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx p p)) (*.f64 #s(literal 1 binary64) (-.f64 p #s(approx p p)))))
2.9%
#s(approx (+ 0 (* q 4)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
3.8%
#s(approx (+ 0 (* q 4)) (*.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r))
13.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1 binary64))))))))
13.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))))
19.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))))))))
18.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))))))
26.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))) (*.f64 #s(literal 1 binary64) (-.f64 p #s(approx p p)))))
9.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))) #s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))))
20.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) #s(approx (* r (+ 1 (* -1 (/ p r)))) (+.f64 r (*.f64 #s(literal -1 binary64) p))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) #s(approx (* r (+ 1 (* -1 (/ p r)))) (+.f64 r (*.f64 #s(literal -1 binary64) p))))))))
13.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx p p)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx p p)))))
4.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
8.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) p))
6.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) r) (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r))))
6.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) p) p))
4.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
17.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 q) q))
11.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 q #s(literal 1 binary64)) (/.f64 q r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64))))
9.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 q) (/.f64 q r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64))))
32.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 q) (/.f64 #s(literal -1 binary64) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) 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)))))) (*.f64 r (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)) #s(literal 1/2 binary64))))
2.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
2.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) #s(literal 1/2 binary64))))
4.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) #s(literal -1/2 binary64))))
4.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
4.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
20.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64)))
3.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
3.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (*.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
2.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (*.f64 r #s(literal -1 binary64))) q)) #s(literal 1 binary64)))))
0.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))
15.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 q #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
31.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
20.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r))))
17.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (- (* -1/2 (/ (- (+ (fabs 0) (fabs r)) 0) r)) 1/2))) (fma.f64 #s(literal 1/2 binary64) r (*.f64 #s(literal 1/2 binary64) (fabs.f64 r)))))
2.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) (+.f64 q (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
Compiler

Compiled 2 013 to 1 324 computations (34.2% saved)

regimes392.0ms (7.9%)

Memory
13.5MiB live, 630.8MiB allocated; 33ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
7 → 1
25 → 2
28 → 2
52 → 2
53 → 2
79 → 2
Calls
Call 1
Inputs
#s(approx (- (+ r p) (* q 4)) q)
Outputs
#s(approx (- (+ r p) (* q 4)) q)
Call 2
Inputs
#s(approx (- (+ r p) (* q 4)) q)
#s(approx (- (+ r p) (* q 4)) (neg.f64 q))
#s(approx (+ 0 (* q 4)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (- (+ r p) (* q 4)) (+.f64 p r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
Outputs
#s(approx (- (+ r p) (* q 4)) (neg.f64 q))
Call 3
Inputs
#s(approx (- (+ r p) (* q 4)) q)
#s(approx (- (+ r p) (* q 4)) (neg.f64 q))
#s(approx (+ 0 (* q 4)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (- (+ r p) (* q 4)) (+.f64 p r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) 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) #s(literal 0 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) #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 q) q))
#s(approx (- (+ r p) (* q 4)) (-.f64 p (*.f64 #s(literal 4 binary64) q)))
#s(approx (- (+ r p) (* q 4)) (-.f64 r (*.f64 #s(literal 4 binary64) q)))
(*.f64 #s(literal 1 binary64) (-.f64 p #s(approx (+ (* -1 4) p) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 #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 #s(literal 1/2 binary64) #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 #s(literal -1 binary64) (*.f64 q #s(approx (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1) #s(literal -1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) p) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (- (* -1/2 (/ (- (+ (fabs 0) (fabs r)) 0) r)) 1/2))) (fma.f64 #s(literal 1/2 binary64) r (*.f64 #s(literal 1/2 binary64) (fabs.f64 r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) (*.f64 #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 (* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) (+.f64 q (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (+ 0 (* q 4)) (*.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 p #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64)))
#s(approx (- (+ r p) (* q 4)) (neg.f64 q))
Call 4
Inputs
#s(approx (- (+ r p) (* q 4)) q)
#s(approx (- (+ r p) (* q 4)) (neg.f64 q))
#s(approx (+ 0 (* q 4)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (- (+ r p) (* q 4)) (+.f64 p r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) 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) #s(literal 0 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) #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 q) q))
#s(approx (- (+ r p) (* q 4)) (-.f64 p (*.f64 #s(literal 4 binary64) q)))
#s(approx (- (+ r p) (* q 4)) (-.f64 r (*.f64 #s(literal 4 binary64) q)))
(*.f64 #s(literal 1 binary64) (-.f64 p #s(approx (+ (* -1 4) p) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 #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 #s(literal 1/2 binary64) #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 #s(literal -1 binary64) (*.f64 q #s(approx (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1) #s(literal -1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) p) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (- (* -1/2 (/ (- (+ (fabs 0) (fabs r)) 0) r)) 1/2))) (fma.f64 #s(literal 1/2 binary64) r (*.f64 #s(literal 1/2 binary64) (fabs.f64 r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) (*.f64 #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 (* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) (+.f64 q (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (+ 0 (* q 4)) (*.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 p #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
(*.f64 (-.f64 (-.f64 p r) #s(approx (+ (* q 4) (- p r)) (+.f64 p (*.f64 #s(literal 4 binary64) q)))) #s(literal 1 binary64))
#s(approx (+ (* -1 4) p) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx p p)) (*.f64 #s(literal 1 binary64) (-.f64 p #s(approx p 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) #s(literal 0 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
Call 5
Inputs
#s(approx (- (+ r p) (* q 4)) q)
#s(approx (- (+ r p) (* q 4)) (neg.f64 q))
#s(approx (+ 0 (* q 4)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (- (+ r p) (* q 4)) (+.f64 p r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) 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) #s(literal 0 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) #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 q) q))
#s(approx (- (+ r p) (* q 4)) (-.f64 p (*.f64 #s(literal 4 binary64) q)))
#s(approx (- (+ r p) (* q 4)) (-.f64 r (*.f64 #s(literal 4 binary64) q)))
(*.f64 #s(literal 1 binary64) (-.f64 p #s(approx (+ (* -1 4) p) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 #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 #s(literal 1/2 binary64) #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 #s(literal -1 binary64) (*.f64 q #s(approx (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1) #s(literal -1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) p) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (- (* -1/2 (/ (- (+ (fabs 0) (fabs r)) 0) r)) 1/2))) (fma.f64 #s(literal 1/2 binary64) r (*.f64 #s(literal 1/2 binary64) (fabs.f64 r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) (*.f64 #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 (* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) (+.f64 q (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (+ 0 (* q 4)) (*.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 p #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
(*.f64 (-.f64 (-.f64 p r) #s(approx (+ (* q 4) (- p r)) (+.f64 p (*.f64 #s(literal 4 binary64) q)))) #s(literal 1 binary64))
#s(approx (+ (* -1 4) p) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx p p)) (*.f64 #s(literal 1 binary64) (-.f64 p #s(approx p p)))))
(*.f64 (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(approx (* -1 (* r (+ 1 (* -1 (/ p r))))) (+.f64 p (*.f64 #s(literal -1 binary64) r))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) (*.f64 #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(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (*.f64 r #s(literal -1 binary64))) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) 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 r (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64)) r)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) r) (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (*.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) #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 p (-.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p)))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 r (-.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 q) (/.f64 #s(literal -1 binary64) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 q) (/.f64 q r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) 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 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx p p)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx p p)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (sqrt.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q))) (sqrt.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 q #s(literal 1 binary64)) (/.f64 q r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64))))
Outputs
(*.f64 (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
Call 6
Inputs
#s(approx (- (+ r p) (* q 4)) q)
#s(approx (- (+ r p) (* q 4)) (neg.f64 q))
#s(approx (+ 0 (* q 4)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (- (+ r p) (* q 4)) (+.f64 p r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) 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) #s(literal 0 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) #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 q) q))
#s(approx (- (+ r p) (* q 4)) (-.f64 p (*.f64 #s(literal 4 binary64) q)))
#s(approx (- (+ r p) (* q 4)) (-.f64 r (*.f64 #s(literal 4 binary64) q)))
(*.f64 #s(literal 1 binary64) (-.f64 p #s(approx (+ (* -1 4) p) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 #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 #s(literal 1/2 binary64) #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 #s(literal -1 binary64) (*.f64 q #s(approx (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1) #s(literal -1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) p) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (- (* -1/2 (/ (- (+ (fabs 0) (fabs r)) 0) r)) 1/2))) (fma.f64 #s(literal 1/2 binary64) r (*.f64 #s(literal 1/2 binary64) (fabs.f64 r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) (*.f64 #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 (* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) (+.f64 q (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (+ 0 (* q 4)) (*.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 p #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
(*.f64 (-.f64 (-.f64 p r) #s(approx (+ (* q 4) (- p r)) (+.f64 p (*.f64 #s(literal 4 binary64) q)))) #s(literal 1 binary64))
#s(approx (+ (* -1 4) p) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx p p)) (*.f64 #s(literal 1 binary64) (-.f64 p #s(approx p p)))))
(*.f64 (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(approx (* -1 (* r (+ 1 (* -1 (/ p r))))) (+.f64 p (*.f64 #s(literal -1 binary64) r))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) (*.f64 #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(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (*.f64 r #s(literal -1 binary64))) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) 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 r (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64)) r)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) r) (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (*.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) #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 p (-.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p)))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 r (-.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 q) (/.f64 #s(literal -1 binary64) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 q) (/.f64 q r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) 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 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx p p)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx p p)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (sqrt.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q))) (sqrt.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 q #s(literal 1 binary64)) (/.f64 q r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) 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 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))) (*.f64 #s(literal 1 binary64) (-.f64 p #s(approx p p)))))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))) (*.f64 #s(literal 1 binary64) (-.f64 p #s(approx p p)))))
#s(approx (- (+ r p) (* q 4)) (neg.f64 q))
Call 7
Inputs
#s(approx (- (+ r p) (* q 4)) q)
#s(approx (- (+ r p) (* q 4)) (neg.f64 q))
#s(approx (+ 0 (* q 4)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (- (+ r p) (* q 4)) (+.f64 p r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) 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) #s(literal 0 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) #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 q) q))
#s(approx (- (+ r p) (* q 4)) (-.f64 p (*.f64 #s(literal 4 binary64) q)))
#s(approx (- (+ r p) (* q 4)) (-.f64 r (*.f64 #s(literal 4 binary64) q)))
(*.f64 #s(literal 1 binary64) (-.f64 p #s(approx (+ (* -1 4) p) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 #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 #s(literal 1/2 binary64) #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 #s(literal -1 binary64) (*.f64 q #s(approx (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1) #s(literal -1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) p) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (- (* -1/2 (/ (- (+ (fabs 0) (fabs r)) 0) r)) 1/2))) (fma.f64 #s(literal 1/2 binary64) r (*.f64 #s(literal 1/2 binary64) (fabs.f64 r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) (*.f64 #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 (* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) (+.f64 q (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (+ 0 (* q 4)) (*.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) r))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 p #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
(*.f64 (-.f64 (-.f64 p r) #s(approx (+ (* q 4) (- p r)) (+.f64 p (*.f64 #s(literal 4 binary64) q)))) #s(literal 1 binary64))
#s(approx (+ (* -1 4) p) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx p p)) (*.f64 #s(literal 1 binary64) (-.f64 p #s(approx p p)))))
(*.f64 (-.f64 (-.f64 p r) (fma.f64 q #s(literal 4 binary64) (-.f64 p r))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(approx (* -1 (* r (+ 1 (* -1 (/ p r))))) (+.f64 p (*.f64 #s(literal -1 binary64) r))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) (*.f64 #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(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (*.f64 r #s(literal -1 binary64))) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) 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 r (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 #s(literal 0 binary64)) (fabs.f64 r)) #s(literal 0 binary64)) r)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (*.f64 (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r)) r) (fma.f64 (*.f64 r p) #s(literal 1/2 binary64) (/.f64 q r))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (*.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) #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 p (-.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p)))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 r (-.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 q) (/.f64 #s(literal -1 binary64) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 q) (/.f64 q r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) 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 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx p p)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx p p)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (sqrt.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q))) (sqrt.f64 (-.f64 (-.f64 p r) (*.f64 #s(literal 4 binary64) q))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 q #s(literal 1 binary64)) (/.f64 q r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) 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 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))) (*.f64 #s(literal 1 binary64) (-.f64 p #s(approx p p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) q) q)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) r) (fma.f64 (fma.f64 (*.f64 r #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 r #s(literal 1 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) #s(approx (* r (+ 1 (* -1 (/ p r)))) (+.f64 r (*.f64 #s(literal -1 binary64) p))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) #s(approx (* r (+ 1 (* -1 (/ p r)))) (+.f64 r (*.f64 #s(literal -1 binary64) p))))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 p p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) 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 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 #s(literal 2 binary64) r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 #s(literal 2 binary64)) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 #s(literal 2 binary64) r) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) r) (*.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) r) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))) r)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)))) #s(literal 1/2 binary64)) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) r))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(approx (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2) (*.f64 p (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (*.f64 p (pow.f64 r #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) p) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) r)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))))
(*.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 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) p) (*.f64 #s(literal 2 binary64) r)) p))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))) #s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 q #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 r #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (pow.f64 r #s(literal 2 binary64)))))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 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 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) #s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (pow (- p r) 2)) (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))))))))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* -1 (/ (pow q 2) (sqrt (pow (- p r) 2)))) (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (pow (- p r) 2))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (- (+ r p) (* q 4)) (neg.f64 q))
Calls

36 calls:

39.0ms
r
20.0ms
(pow.f64 q #s(literal 2 binary64))
20.0ms
q
20.0ms
p
19.0ms
(pow.f64 q #s(literal 2 binary64))
Results
AccuracySegmentsBranch
3.3%1(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
3.3%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
3.3%1(pow.f64 q #s(literal 2 binary64))
3.3%1(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
3.3%1q
3.3%1p
3.3%1r
32.6%1r
32.6%1p
32.6%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))))))
32.6%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)))))))
32.6%1q
32.6%1(pow.f64 q #s(literal 2 binary64))
32.6%1(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
47.5%2(pow.f64 q #s(literal 2 binary64))
47.5%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
47.5%2q
47.6%2(pow.f64 q #s(literal 2 binary64))
47.6%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
47.6%2q
48.5%5p
47.8%2(pow.f64 q #s(literal 2 binary64))
47.8%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
47.8%2q
44.6%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))))))
44.6%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)))))))
49.7%2(pow.f64 q #s(literal 2 binary64))
49.7%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
49.7%2q
52.6%2(pow.f64 q #s(literal 2 binary64))
52.6%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
52.9%3(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
52.9%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
51.9%4p
44.4%4r
52.6%2q
Compiler

Compiled 3 623 to 778 computations (78.5% saved)

bsearch29.0ms (0.6%)

Memory
-6.1MiB live, 43.4MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
5.037894276041281e-17
2.698487195828311e-15
Samples
10.0ms63×1valid
10.0ms36×2valid
1.0ms13×0valid
Compiler

Compiled 536 to 353 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-pow2: 6.0ms (34.3% of total)
adjust: 4.0ms (22.9% of total)
ival-sub!: 2.0ms (11.4% of total)
ival-sqrt: 2.0ms (11.4% of total)
ival-mult!: 2.0ms (11.4% of total)
ival-add!: 1.0ms (5.7% of total)
ival-fabs: 1.0ms (5.7% of total)

bsearch18.0ms (0.4%)

Memory
-19.7MiB live, 27.2MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
5.037894276041281e-17
2.698487195828311e-15
Samples
6.0ms42×1valid
3.0ms13×2valid
2.0ms25×0valid
Compiler

Compiled 459 to 339 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
adjust: 2.0ms (23.3% of total)
ival-pow2: 2.0ms (23.3% of total)
ival-sqrt: 1.0ms (11.6% of total)
ival-sub!: 1.0ms (11.6% of total)
ival-add!: 1.0ms (11.6% of total)
ival-mult!: 1.0ms (11.6% of total)
ival-fabs: 1.0ms (11.6% of total)

bsearch27.0ms (0.5%)

Memory
43.3MiB live, 43.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
1.0608456041128339e-78
1.9360695683665415e-76
Samples
11.0ms51×2valid
7.0ms46×1valid
1.0ms15×0valid
Compiler

Compiled 277 to 241 computations (13% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
adjust: 4.0ms (26.4% of total)
ival-pow2: 4.0ms (26.4% of total)
ival-sqrt: 2.0ms (13.2% of total)
ival-mult!: 2.0ms (13.2% of total)
ival-add!: 1.0ms (6.6% of total)
ival-sub!: 1.0ms (6.6% of total)
ival-fabs: 1.0ms (6.6% of total)

bsearch3.0ms (0.1%)

Memory
-43.9MiB live, 2.9MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
1.0608456041128339e-78
1.9360695683665415e-76
Compiler

Compiled 375 to 332 computations (11.5% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.5447626555046156e-183
3.0161740077765188e-180
Compiler

Compiled 25 to 25 computations (0% saved)

derivations2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 300 to 83 computations (72.3% saved)

preprocess79.0ms (1.6%)

Memory
24.0MiB live, 166.3MiB allocated; 9ms collecting garbage
Remove

(abs q)

Compiler

Compiled 922 to 499 computations (45.9% saved)

end0.0ms (0%)

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

Profiling

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