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

Time bar (total: 5.7s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
100.0%99.9%0.0%0.1%0.0%0.0%0.0%1
Compiler

Compiled 24 to 20 computations (16.7% saved)

sample2.0s (35.0%)

Memory
126.3MiB live, 2 682.0MiB allocated; 667ms collecting garbage
Samples
643.0ms3 150×1valid
625.0ms2 293×2valid
271.0ms2 813×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
adjust: 340.0ms (28.0% of total)
ival-pow2: 323.0ms (26.6% of total)
ival-mult!: 129.0ms (10.6% of total)
ival-sqrt: 125.0ms (10.3% of total)
ival-fabs: 110.0ms (9.0% of total)
ival-add!: 99.0ms (8.1% of total)
ival-sub!: 90.0ms (7.4% of total)
Bogosity

preprocess81.0ms (1.4%)

Memory
-42.7MiB live, 45.9MiB allocated; 116ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073205
1290200
21288200
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
Symmetry

(abs q)

(sort p r)

Compiler

Compiled 44 to 36 computations (18.2% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
2
(/ 1 2)
4
Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 4 binary64)
Samples
0.0ms0valid
Compiler

Compiled 8 to 6 computations (25.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series63.0ms (1.1%)

Memory
1.1MiB live, 94.8MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07555342
Stop Event
iter-limit
Counts
18 → 136
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
p
(fabs.f64 p)
r
(fabs.f64 r)
(+.f64 (fabs.f64 p) (fabs.f64 r))
(-.f64 p r)
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
#s(literal 4 binary64)
q
(pow.f64 q #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))))
(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 (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 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
Outputs
#s(approx p p)
#s(approx (fabs p) (fabs.f64 p))
#s(approx (+ (fabs p) (fabs r)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (- p r) (*.f64 #s(literal -1 binary64) r))
#s(approx (- p r) (-.f64 p r))
#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 (+ (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 (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 (- (+ (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 (* (/ 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 (- p r) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r 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 (+ (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 (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 (- (+ (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 (* (/ 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 (- p r) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (/.f64 r p) #s(literal 1 binary64)))))
#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 (+ (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 (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 (- (+ (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 (* (/ 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 r r)
#s(approx (fabs r) (fabs.f64 r))
#s(approx (- p r) (+.f64 p (*.f64 #s(literal -1 binary64) r)))
#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 (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #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 p #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 r (+.f64 r (*.f64 #s(literal -2 binary64) p)) (pow.f64 p #s(literal 2 binary64)))))
#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 (- (+ (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 (* (/ 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 r (-.f64 (/.f64 p r) #s(literal 1 binary64))))
#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 (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (pow.f64 r #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 p r) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#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 (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 r (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (*.f64 #s(literal 2 binary64) (/.f64 (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 r (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (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 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 (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 r (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (+.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 (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 r (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (*.f64 #s(literal 2 binary64) (/.f64 (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)))))) (*.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 #s(literal -1 binary64) (*.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 -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 (+ (pow (- p r) 2) (* 4 (pow q 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 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) r) (*.f64 #s(literal 2 binary64) 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 (+.f64 p (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r))) 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 (+.f64 p (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) r) (*.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) r))) r))))))
#s(approx (- (+ (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 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #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 r (-.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)) r)))) p) r)) #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 r (-.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 p (pow.f64 q #s(literal 2 binary64))) r)) (*.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) r)))) p) 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 1/2 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 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 q q)
#s(approx (pow q 2) (pow.f64 q #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 (- 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 (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 (- (+ (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 (* (/ 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 (- 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 (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 (- (+ (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 (* (/ 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 (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 (- (+ (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 (* (/ 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)))))
Calls

9 calls:

TimeVariablePoint
9.0ms
r
inf
3.0ms
q
0
2.0ms
p
0
2.0ms
q
inf
2.0ms
p
inf

rewrite172.0ms (3.0%)

Memory
8.9MiB live, 245.9MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01893
03193
114693
250993
3193993
0412689
Stop Event
iter-limit
node-limit
iter-limit
Counts
18 → 507
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
p
(fabs.f64 p)
r
(fabs.f64 r)
(+.f64 (fabs.f64 p) (fabs.f64 r))
(-.f64 p r)
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
#s(literal 4 binary64)
q
(pow.f64 q #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))))
(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 (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 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
p
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 p))) (sqrt.f64 (neg.f64 (fabs.f64 p))))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 p)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 p)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 p p) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 p p) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)))
(*.f64 (sqrt.f64 (fabs.f64 p)) (sqrt.f64 (fabs.f64 p)))
(*.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 p #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 p))
(pow.f64 (*.f64 (*.f64 p p) (*.f64 p p)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 p p))
(fabs.f64 (neg.f64 (neg.f64 (fabs.f64 p))))
(fabs.f64 (neg.f64 (fabs.f64 p)))
(fabs.f64 (neg.f64 p))
(fabs.f64 (fabs.f64 p))
(fabs.f64 p)
(exp.f64 (*.f64 (log.f64 (*.f64 p p)) #s(literal 1/2 binary64)))
r
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 r))) (sqrt.f64 (neg.f64 (fabs.f64 r))))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 r)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 r)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 r r) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 r r) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)))
(*.f64 (sqrt.f64 (fabs.f64 r)) (sqrt.f64 (fabs.f64 r)))
(*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 r #s(literal 1/2 binary64)) (pow.f64 r #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 r) (sqrt.f64 r))
(pow.f64 (*.f64 (*.f64 r r) (*.f64 r r)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 r r) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (fabs.f64 r)))
(sqrt.f64 (*.f64 r r))
(fabs.f64 (neg.f64 (fabs.f64 r)))
(fabs.f64 (neg.f64 r))
(fabs.f64 (fabs.f64 r))
(fabs.f64 r)
(exp.f64 (*.f64 (log.f64 (*.f64 r r)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fabs.f64 p)) (fabs.f64 r))) (fabs.f64 r))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))) (fabs.f64 r))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p))) (fabs.f64 p))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (fabs.f64 p))) (fabs.f64 p))
(/.f64 (-.f64 (*.f64 r r) (*.f64 p p)) (-.f64 (fabs.f64 r) (neg.f64 (neg.f64 (fabs.f64 p)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64) (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 r) #s(literal 1/2 binary64) (*.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 p) #s(literal 1/2 binary64) (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 r) (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))))
(-.f64 (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))) (fabs.f64 r)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))))
(-.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 r)) (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))))
(+.f64 (*.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)) (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)))

eval127.0ms (2.2%)

Memory
-28.9MiB live, 162.3MiB allocated; 30ms collecting garbage
Compiler

Compiled 26 071 to 3 695 computations (85.8% saved)

prune33.0ms (0.6%)

Memory
10.7MiB live, 65.5MiB allocated; 6ms collecting garbage
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New60426630
Fresh000
Picked101
Done000
Total60526631
Accuracy
68.7%
Counts
631 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))) (fabs.f64 r)) #s(literal 3 binary64))) (+.f64 (*.f64 p p) (fma.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))) (fabs.f64 r)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))) (fabs.f64 r)) (*.f64 (fabs.f64 p) (-.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))) (fabs.f64 r)))))))
23.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 (*.f64 r r) (*.f64 p p)) (-.f64 (fabs.f64 r) (fabs.f64 p))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
23.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))))))
25.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q q) #s(literal 4 binary64))))))
17.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))) #s(literal 1/2 binary64)))))
19.3%
(*.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 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r)))))))
24.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))) (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)))))))
20.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 r))) (fabs.f64 r)))
20.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 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)))))))
2.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 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)))))))
25.9%
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))
22.1%
#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))))))))
13.9%
#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))))))))
16.8%
#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)) (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)))))))
14.9%
#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))))
38.3%
#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))))
2.1%
#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))))
2.2%
#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))))
2.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
5.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
5.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
2.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
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 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))))
1.9%
#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 -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
14.2%
#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)))))
39.3%
#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 1 946 to 1 336 computations (31.3% saved)

sample0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1
-1/2
1/2
1
2
(/ 1 2)
4
Outputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 4 binary64)
Samples
0.0ms0valid
Compiler

Compiled 11 to 9 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series88.0ms (1.6%)

Memory
10.1MiB live, 149.5MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010398573
Stop Event
iter-limit
Counts
42 → 219
Calls
Call 1
Inputs
p
r
q
#s(literal -1 binary64)
(*.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 binary64) q))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/2 binary64) p)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
(fabs.f64 p)
(fabs.f64 r)
(+.f64 (fabs.f64 p) (fabs.f64 r))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)
(/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p))
#s(literal 1/2 binary64)
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1/2 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)))
(*.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 -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(-.f64 r p)
(*.f64 q q)
#s(literal 4 binary64)
(*.f64 (*.f64 q q) #s(literal 4 binary64))
(fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q q) #s(literal 4 binary64)))
(sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q q) #s(literal 4 binary64))))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q q) #s(literal 4 binary64))))))
(pow.f64 q #s(literal 2 binary64))
(pow.f64 p #s(literal 2 binary64))
(/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) r)
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r))
(/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p)
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p))
(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)))
(-.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))
(*.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 (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))))
Outputs
#s(approx p p)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (-.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 (fabs p) (fabs.f64 p))
#s(approx (+ (fabs p) (fabs r)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (- (+ (fabs p) (fabs r)) r) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))
#s(approx (/ (- (+ (fabs p) (fabs r)) r) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p))
#s(approx (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)))
#s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))) p))
#s(approx (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)))
#s(approx (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))))
#s(approx (* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)))
#s(approx (* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))))
#s(approx (- r p) r)
#s(approx (- r p) (+.f64 r (*.f64 #s(literal -1 binary64) p)))
#s(approx (+ (* (- r p) (- r p)) (* (* q q) 4)) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))
#s(approx (+ (* (- r p) (- r p)) (* (* q q) 4)) (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 (+ (* (- r p) (- r p)) (* (* q q) 4)) (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 (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4))) (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 (+ (* (- r p) (- r p)) (* (* q q) 4))) (+.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 (+ (* (- r p) (- r p)) (* (* q q) 4))) (+.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 (+ (* (- r p) (- r p)) (* (* q q) 4))) (+.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 (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4)))) (-.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 (+ (* (- r p) (- r p)) (* (* q q) 4)))) (-.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 (+ (* (- r p) (- r p)) (* (* q q) 4)))) (-.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 (+ (* (- r p) (- r p)) (* (* q q) 4)))) (-.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 (pow p 2) (pow.f64 p #s(literal 2 binary64)))
#s(approx (/ (pow q 2) (pow p 2)) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (* -1 r)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)))
#s(approx (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p))
#s(approx (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p)))
#s(approx (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r))))) (pow.f64 p #s(literal 2 binary64))))
#s(approx (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)) (*.f64 p (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)))))) (pow.f64 p #s(literal 2 binary64))))
#s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p)))
#s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 p (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r))))) p))
#s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)) (*.f64 p (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)))))) 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 (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (-.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 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)) (*.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 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)))))
#s(approx (- r p) (*.f64 #s(literal -1 binary64) p))
#s(approx (- r p) (*.f64 p (-.f64 (/.f64 r p) #s(literal 1 binary64))))
#s(approx (+ (* (- r p) (- r p)) (* (* q q) 4)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 r p)))))
#s(approx (+ (* (- r p) (- r p)) (* (* q q) 4)) (*.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))))))))
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#s(approx (fabs r) (fabs.f64 r))
#s(approx (- (+ (fabs p) (fabs r)) r) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))))
#s(approx (/ (- (+ (fabs p) (fabs r)) r) p) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))
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#s(approx (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))
#s(approx (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) (*.f64 #s(literal 1/2 binary64) (/.f64 r p))))
#s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)) #s(literal 1/2 binary64)))
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#s(approx (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))))
#s(approx (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.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 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)))) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))))
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#s(approx q q)
#s(approx (* -1 q) (*.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) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p 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)))))) (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))))))))
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#s(approx (* q q) (pow.f64 q #s(literal 2 binary64)))
#s(approx (* (* q q) 4) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
#s(approx (+ (* (- r p) (- r p)) (* (* q q) 4)) (pow.f64 (-.f64 r p) #s(literal 2 binary64)))
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#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))))
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#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 r p) #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 r p) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 r p) #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 r p) #s(literal 2 binary64))) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))))))
#s(approx (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) (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(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p) (*.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 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 (+ (* (- r p) (- r p)) (* (* q q) 4)) (*.f64 (pow.f64 q #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4))) (*.f64 #s(literal 2 binary64) q))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4))) (*.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4))) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
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#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4)))) (*.f64 #s(literal -2 binary64) q))
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#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4)))) (*.f64 q (-.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #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 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
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#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4))))) (*.f64 q (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (fma.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #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 (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) (*.f64 p (pow.f64 q #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))))))
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#s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (*.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))) (pow.f64 q #s(literal 2 binary64))) (/.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 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 (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4)))) (*.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 (+ (* (- r p) (- r p)) (* (* q q) 4)))) (*.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 r p) #s(literal 2 binary64)) q)))) q)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4)))) (*.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 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) q)))) q)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4))))) (*.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 r p) #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 (+ (* (- r p) (- r p)) (* (* q q) 4))))) (*.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 r p) #s(literal 2 binary64)) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #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)))))
Calls

9 calls:

TimeVariablePoint
8.0ms
q
inf
6.0ms
p
-inf
6.0ms
p
inf
6.0ms
q
-inf
5.0ms
p
0

rewrite220.0ms (3.9%)

Memory
-4.4MiB live, 463.9MiB allocated; 69ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054427
085411
1428398
21539388
04226378
Stop Event
iter-limit
node-limit
iter-limit
Counts
42 → 1 064
Calls
Call 1
Inputs
p
r
q
#s(literal -1 binary64)
(*.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 binary64) q))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/2 binary64) p)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
(fabs.f64 p)
(fabs.f64 r)
(+.f64 (fabs.f64 p) (fabs.f64 r))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)
(/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p))
#s(literal 1/2 binary64)
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1/2 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)))
(*.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 -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(-.f64 r p)
(*.f64 q q)
#s(literal 4 binary64)
(*.f64 (*.f64 q q) #s(literal 4 binary64))
(fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q q) #s(literal 4 binary64)))
(sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q q) #s(literal 4 binary64))))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q q) #s(literal 4 binary64))))))
(pow.f64 q #s(literal 2 binary64))
(pow.f64 p #s(literal 2 binary64))
(/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) r)
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r))
(/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p)
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p))
(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)))
(-.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))
(*.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 (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))))
Outputs
p
r
q
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) q)
(*.f64 q #s(literal -1 binary64))
(neg.f64 q)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/2 binary64) p)
(*.f64 p #s(literal -1/2 binary64))
(neg.f64 (*.f64 p #s(literal 1/2 binary64)))
(neg.f64 (*.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) p))
(*.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)))
(*.f64 (sqrt.f64 (fabs.f64 p)) (sqrt.f64 (fabs.f64 p)))
(*.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 p #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 p))
(*.f64 (fabs.f64 p) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 p))
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 p p) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 p p))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 p))))
(fabs.f64 (neg.f64 (fabs.f64 p)))
(fabs.f64 (neg.f64 (neg.f64 p)))
(fabs.f64 (neg.f64 p))
(fabs.f64 (fabs.f64 p))
(fabs.f64 p)
(exp.f64 (*.f64 (log.f64 (*.f64 p p)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)))
(*.f64 (sqrt.f64 (fabs.f64 r)) (sqrt.f64 (fabs.f64 r)))
(*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 r #s(literal 1/2 binary64)) (pow.f64 r #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 r) (sqrt.f64 r))
(*.f64 (fabs.f64 r) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 r))
(pow.f64 (*.f64 r r) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 r r) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 r r))
(fabs.f64 (*.f64 (neg.f64 r) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (fabs.f64 r) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 r)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 r)))
(fabs.f64 (neg.f64 (fabs.f64 r)))
(fabs.f64 (neg.f64 r))
(fabs.f64 (fabs.f64 r))
(fabs.f64 r)
(exp.f64 (*.f64 (log.f64 (*.f64 r r)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))) (fabs.f64 r))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p))) (fabs.f64 p))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (fabs.f64 p))) (fabs.f64 p))
(/.f64 (-.f64 (*.f64 p p) (*.f64 (neg.f64 (neg.f64 (fabs.f64 r))) (neg.f64 (neg.f64 (fabs.f64 r))))) (-.f64 (fabs.f64 p) (neg.f64 (neg.f64 (fabs.f64 r)))))
(/.f64 (-.f64 (*.f64 r r) (*.f64 p p)) (+.f64 (fabs.f64 r) (neg.f64 (fabs.f64 p))))
(/.f64 (-.f64 (*.f64 r r) (*.f64 p p)) (-.f64 (fabs.f64 r) (fabs.f64 p)))
(/.f64 (-.f64 (*.f64 p p) (*.f64 r r)) (+.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r))))
(/.f64 (-.f64 (*.f64 p p) (*.f64 r r)) (-.f64 (fabs.f64 p) (fabs.f64 r)))
(/.f64 (+.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 r))) #s(literal 3 binary64))) (+.f64 (*.f64 p p) (-.f64 (*.f64 (neg.f64 (neg.f64 (fabs.f64 r))) (neg.f64 (neg.f64 (fabs.f64 r)))) (*.f64 (fabs.f64 p) (neg.f64 (neg.f64 (fabs.f64 r)))))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fabs.f64 p)) #s(literal 3 binary64))) (+.f64 (*.f64 r r) (+.f64 (*.f64 p p) (*.f64 (fabs.f64 r) (neg.f64 (fabs.f64 p))))))
(/.f64 (+.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (fabs.f64 p) #s(literal 3 binary64))) (+.f64 (*.f64 r r) (-.f64 (*.f64 p p) (*.f64 (fabs.f64 r) (fabs.f64 p)))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fabs.f64 r)) #s(literal 3 binary64))) (+.f64 (*.f64 p p) (+.f64 (*.f64 r r) (*.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r))))))
(/.f64 (+.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (fabs.f64 r) #s(literal 3 binary64))) (+.f64 (*.f64 p p) (-.f64 (*.f64 r r) (*.f64 (fabs.f64 p) (fabs.f64 r)))))
(neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p)))
(fma.f64 (fabs.f64 r) #s(literal 1 binary64) (fabs.f64 p))
(fma.f64 (fabs.f64 p) #s(literal 1 binary64) (neg.f64 (neg.f64 (fabs.f64 r))))
(fma.f64 (fabs.f64 p) #s(literal 1 binary64) (fabs.f64 r))
(fma.f64 #s(literal 1 binary64) (fabs.f64 r) (fabs.f64 p))
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (neg.f64 (neg.f64 (fabs.f64 r))))
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (fabs.f64 r))
(-.f64 (fabs.f64 r) (neg.f64 (fabs.f64 p)))
(-.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r)))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(+.f64 (fabs.f64 p) (neg.f64 (neg.f64 (fabs.f64 r))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 r) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p))) (fabs.f64 p))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 r (+.f64 (fabs.f64 r) (fabs.f64 p)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))
(/.f64 (-.f64 (*.f64 (-.f64 (fabs.f64 r) r) (-.f64 (fabs.f64 r) r)) (*.f64 p p)) (-.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)))
(/.f64 (-.f64 (*.f64 r r) (*.f64 (+.f64 (fabs.f64 p) (neg.f64 r)) (+.f64 (fabs.f64 p) (neg.f64 r)))) (-.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) (neg.f64 r))))
(/.f64 (-.f64 (*.f64 r r) (*.f64 (-.f64 (fabs.f64 p) r) (-.f64 (fabs.f64 p) r))) (-.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) r)))
(/.f64 (-.f64 (*.f64 p p) (*.f64 (-.f64 (neg.f64 (fabs.f64 r)) (neg.f64 r)) (-.f64 (neg.f64 (fabs.f64 r)) (neg.f64 r)))) (+.f64 (fabs.f64 p) (-.f64 (neg.f64 (fabs.f64 r)) (neg.f64 r))))
(/.f64 (-.f64 (*.f64 p p) (*.f64 (+.f64 (neg.f64 (fabs.f64 r)) r) (+.f64 (neg.f64 (fabs.f64 r)) r))) (+.f64 (fabs.f64 p) (+.f64 (neg.f64 (fabs.f64 r)) r)))
(/.f64 (-.f64 (*.f64 p p) (*.f64 (neg.f64 (-.f64 (fabs.f64 r) r)) (neg.f64 (-.f64 (fabs.f64 r) r)))) (+.f64 (fabs.f64 p) (neg.f64 (-.f64 (fabs.f64 r) r))))
(/.f64 (+.f64 (pow.f64 (-.f64 (fabs.f64 r) r) #s(literal 3 binary64)) (pow.f64 (fabs.f64 p) #s(literal 3 binary64))) (fma.f64 (-.f64 (fabs.f64 r) r) (-.f64 (fabs.f64 r) r) (-.f64 (*.f64 p p) (*.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 r) #s(literal 3 binary64)) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 3 binary64))) (+.f64 (*.f64 r r) (-.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (+.f64 (fabs.f64 r) (fabs.f64 p))) (*.f64 (neg.f64 r) (+.f64 (fabs.f64 r) (fabs.f64 p))))))
(/.f64 (+.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (+.f64 (fabs.f64 p) (neg.f64 r)) #s(literal 3 binary64))) (+.f64 (*.f64 r r) (-.f64 (*.f64 (+.f64 (fabs.f64 p) (neg.f64 r)) (+.f64 (fabs.f64 p) (neg.f64 r))) (*.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) (neg.f64 r))))))
(/.f64 (+.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 p) r) #s(literal 3 binary64))) (+.f64 (*.f64 r r) (-.f64 (*.f64 (-.f64 (fabs.f64 p) r) (-.f64 (fabs.f64 p) r)) (*.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) r)))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 (fabs.f64 r)) (neg.f64 r)) #s(literal 3 binary64))) (+.f64 (*.f64 p p) (fma.f64 (-.f64 (neg.f64 (fabs.f64 r)) (neg.f64 r)) (-.f64 (neg.f64 (fabs.f64 r)) (neg.f64 r)) (*.f64 (fabs.f64 p) (-.f64 (neg.f64 (fabs.f64 r)) (neg.f64 r))))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (+.f64 (neg.f64 (fabs.f64 r)) r) #s(literal 3 binary64))) (+.f64 (*.f64 p p) (fma.f64 (+.f64 (neg.f64 (fabs.f64 r)) r) (+.f64 (neg.f64 (fabs.f64 r)) r) (*.f64 (fabs.f64 p) (+.f64 (neg.f64 (fabs.f64 r)) r)))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 (fabs.f64 r) r)) #s(literal 3 binary64))) (+.f64 (*.f64 p p) (fma.f64 (neg.f64 (-.f64 (fabs.f64 r) r)) (neg.f64 (-.f64 (fabs.f64 r) r)) (*.f64 (fabs.f64 p) (neg.f64 (-.f64 (fabs.f64 r) r))))))
(/.f64 (-.f64 (*.f64 p p) (*.f64 (-.f64 (fabs.f64 r) r) (-.f64 (fabs.f64 r) r))) (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)))
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(neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p)) p))
(neg.f64 (*.f64 p (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p))))
(fma.f64 (/.f64 (*.f64 (neg.f64 q) q) (*.f64 p p)) p (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p))
(fma.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p) p (*.f64 #s(literal -1/2 binary64) p))
(fma.f64 p (/.f64 (*.f64 (neg.f64 q) q) (*.f64 p p)) (*.f64 p (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 p (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p) (*.f64 #s(literal -1/2 binary64) p))
(+.f64 (*.f64 p (/.f64 (*.f64 (neg.f64 q) q) (*.f64 p p))) (*.f64 p (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(+.f64 (*.f64 p (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p)) (*.f64 #s(literal -1/2 binary64) p))
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p) p) (*.f64 #s(literal -1/2 binary64) p))
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 q) q) (*.f64 p p)) p) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p) #s(literal 1/2 binary64)) p))

eval215.0ms (3.8%)

Memory
36.1MiB live, 353.1MiB allocated; 110ms collecting garbage
Compiler

Compiled 67 537 to 8 093 computations (88.0% saved)

prune73.0ms (1.3%)

Memory
-6.1MiB live, 132.5MiB allocated; 16ms collecting garbage
Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New1 310281 338
Fresh14721
Picked505
Done-110
Total1 328361 364
Accuracy
81.4%
Counts
1 364 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 (*.f64 r r) (*.f64 p p)) (-.f64 (fabs.f64 r) (fabs.f64 p))) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q q) #s(literal 4 binary64))))))
23.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q #s(literal 4 binary64)) q)))) (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q #s(literal 4 binary64)) q)))))))
22.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(approx (- r p) r) #s(approx (- r p) r) (*.f64 (*.f64 q q) #s(literal 4 binary64))))))
2.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q q) 4))) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p)))))))
21.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (exp.f64 (*.f64 (log.f64 (*.f64 r r)) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q q) #s(literal 4 binary64))))))
20.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 r))) (fabs.f64 r)))
20.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 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)))))))
25.9%
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
13.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 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))))))))
16.8%
#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)) (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)))))))
2.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p) #s(literal 1/2 binary64)) p))
14.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64))) p))
38.3%
#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))))
2.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (fma.f64 (/.f64 (neg.f64 q) p) (/.f64 q p) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
0.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p) (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p) #s(literal 1/2 binary64)))))
2.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (-.f64 (/.f64 (*.f64 (neg.f64 q) q) (*.f64 p p)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #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 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))))
2.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p #s(approx (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.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 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))))))
2.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
5.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
5.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
2.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
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 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))))
1.9%
#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 -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
5.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) (*.f64 (/.f64 #s(literal 1 binary64) p) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))
11.1%
#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) (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1 binary64) p) (/.f64 (neg.f64 r) p))) #s(literal 1/2 binary64)))))
11.1%
#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 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))) (fabs.f64 r)) r) p)) #s(literal 1/2 binary64)))))
32.1%
#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 r) r) (fabs.f64 p)) p)) #s(literal 1/2 binary64)))))
6.9%
#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) #s(approx (/ (- (+ (fabs p) (fabs r)) r) p) (*.f64 r (-.f64 (+.f64 (/.f64 (fabs.f64 p) (*.f64 p r)) (/.f64 (fabs.f64 r) (*.f64 p r))) (/.f64 #s(literal 1 binary64) p))))) #s(literal 1/2 binary64)))))
4.0%
#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 #s(approx (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 r p))) #s(literal 1/2 binary64)))))
12.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))))))
39.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
1.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (*.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))) (pow.f64 q #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) p)))))
17.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))))
14.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)))))
12.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))))
Compiler

Compiled 3 120 to 2 137 computations (31.5% saved)

sample0.0ms (0.0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1/2
-1
1
4
1/2
2
(/ 1 2)
Outputs
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 11 to 9 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series129.0ms (2.3%)

Memory
19.4MiB live, 203.0MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169615492
Stop Event
iter-limit
Counts
39 → 312
Calls
Call 1
Inputs
p
r
q
(neg.f64 q)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/2 binary64) r)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(literal -1 binary64)
(fabs.f64 p)
(fabs.f64 r)
(+.f64 (fabs.f64 p) (fabs.f64 r))
(/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)
(*.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 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))))
#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 (fabs.f64 r) (fabs.f64 p))
(-.f64 r p)
#s(literal 4 binary64)
(*.f64 q #s(literal 4 binary64))
(*.f64 (*.f64 q #s(literal 4 binary64)) q)
(fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q #s(literal 4 binary64)) q))
(sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q #s(literal 4 binary64)) q)))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q #s(literal 4 binary64)) q))))
#s(literal 1/2 binary64)
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 (-.f64 r p) (-.f64 r p))
(fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))
(sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))
(-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))
(/.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 r))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 r)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 r))) (fabs.f64 r))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 r))) (fabs.f64 r)))
Outputs
#s(approx p p)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (-.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.f64 p))
#s(approx (+ (fabs p) (fabs r)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (/ (+ (fabs p) (fabs r)) q) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))
#s(approx (* -1/2 (/ (+ (fabs p) (fabs r)) q)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))
#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 (* 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 (* 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 (- r p) r)
#s(approx (- r p) (+.f64 r (*.f64 #s(literal -1 binary64) p)))
#s(approx (+ (* (- r p) (- r p)) (* (* q 4) q)) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))
#s(approx (+ (* (- r p) (- r p)) (* (* q 4) q)) (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 (+ (* (- r p) (- r p)) (* (* q 4) q)) (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 (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (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 (+ (* (- r p) (- r p)) (* (* q 4) q))) (+.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 (+ (* (- r p) (- r p)) (* (* q 4) q))) (+.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 (+ (* (- r p) (- r p)) (* (* q 4) q))) (+.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 (- (+ (fabs r) (fabs p)) (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q)))) (-.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 r) (fabs p)) (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q)))) (-.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 r) (fabs p)) (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q)))) (-.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 r) (fabs p)) (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q)))) (-.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 (* (- r p) (- r p)) (pow.f64 r #s(literal 2 binary64)))
#s(approx (* (- r p) (- r p)) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (pow.f64 r #s(literal 2 binary64))))
#s(approx (* (- r p) (- r p)) (fma.f64 p (+.f64 p (*.f64 #s(literal -2 binary64) r)) (pow.f64 r #s(literal 2 binary64))))
#s(approx (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (-.f64 (fabs.f64 p) (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) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (-.f64 (+.f64 (fabs.f64 p) (/.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) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (-.f64 (+.f64 (fabs.f64 p) (*.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) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (-.f64 (+.f64 (fabs.f64 p) (*.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) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (/.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (fabs.f64 r)))
#s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (-.f64 (+.f64 (/.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 (*.f64 p r) (*.f64 (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 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (fabs.f64 r))))
#s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (-.f64 (fma.f64 p (fma.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))))) (*.f64 (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 r (*.f64 (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 (fabs.f64 p) (fabs.f64 r))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (fabs.f64 r))))
#s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (-.f64 (fma.f64 p (fma.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)))))) (*.f64 (fabs.f64 r) (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)))) (*.f64 (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 r (*.f64 (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 (fabs.f64 p) (fabs.f64 r))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (fabs.f64 r))))
#s(approx (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (fabs.f64 r))))
#s(approx (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 (*.f64 p r) (*.f64 (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 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (fabs.f64 r))))
#s(approx (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.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))))) (*.f64 (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 binary64) (/.f64 r (*.f64 (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 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (fabs.f64 r))))
#s(approx (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.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)))))) (*.f64 (fabs.f64 r) (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)))) (*.f64 (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 binary64) (/.f64 r (*.f64 (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 (fabs.f64 p) (fabs.f64 r)))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (fabs.f64 r))))
#s(approx (* (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (fabs r)) (*.f64 (fabs.f64 r) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (fabs.f64 r)))))
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#s(approx q q)
#s(approx (neg q) (*.f64 #s(literal -1 binary64) q))
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#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q)))) 1/2) (*.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 r p) #s(literal 2 binary64)) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #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) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 p) q)) #s(literal 2 binary64)))))
#s(approx (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) q))) q)) #s(literal 2 binary64)))))
#s(approx (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) q))) q)) #s(literal 2 binary64)))))
#s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (*.f64 #s(literal 2 binary64) (/.f64 q (fabs.f64 r))))
#s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 p) (*.f64 q (fabs.f64 r)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 r)))))))
#s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (*.f64 q (fabs.f64 r))) (/.f64 (fabs.f64 p) (fabs.f64 r))) q)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 r)))))))
#s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (*.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 -1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (fabs.f64 r)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fabs.f64 r))))) q) (/.f64 (fabs.f64 p) (fabs.f64 r))) q)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 r)))))))
#s(approx (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))) q)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 r)))))))
#s(approx (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (*.f64 q (fabs.f64 r))) (/.f64 (fabs.f64 p) (fabs.f64 r)))) q)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 r)))))))
#s(approx (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fabs.f64 r)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (fabs.f64 r)))) q) (/.f64 (fabs.f64 p) (fabs.f64 r)))) q)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 r)))))))
#s(approx (* (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (fabs r)) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fabs.f64 r) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 2 binary64)))))
#s(approx (* (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (fabs r)) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) q) (*.f64 (fabs.f64 r) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))))) q)) #s(literal 2 binary64)))))
#s(approx (* (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (fabs r)) (*.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 -1/4 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) q) (*.f64 (fabs.f64 r) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))))) q)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (* (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (fabs r))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fabs.f64 r) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (* (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (fabs r))) (*.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 r p) #s(literal 2 binary64)) q) (*.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 r) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r)))))) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (* (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (fabs r))) (*.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 r p) #s(literal 2 binary64)) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) q) (*.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 r) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r)))))) q)) #s(literal 1 binary64)))))
Calls

9 calls:

TimeVariablePoint
15.0ms
r
0
5.0ms
p
-inf
4.0ms
p
0
4.0ms
r
inf
4.0ms
q
-inf

rewrite220.0ms (3.9%)

Memory
24.3MiB live, 395.4MiB allocated; 70ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051381
080345
1400340
21367329
04028328
Stop Event
iter-limit
node-limit
iter-limit
Counts
39 → 1 012
Calls
Call 1
Inputs
p
r
q
(neg.f64 q)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/2 binary64) r)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(literal -1 binary64)
(fabs.f64 p)
(fabs.f64 r)
(+.f64 (fabs.f64 p) (fabs.f64 r))
(/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)
(*.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 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))))
#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 (fabs.f64 r) (fabs.f64 p))
(-.f64 r p)
#s(literal 4 binary64)
(*.f64 q #s(literal 4 binary64))
(*.f64 (*.f64 q #s(literal 4 binary64)) q)
(fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q #s(literal 4 binary64)) q))
(sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q #s(literal 4 binary64)) q)))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q #s(literal 4 binary64)) q))))
#s(literal 1/2 binary64)
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 (-.f64 r p) (-.f64 r p))
(fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))
(sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))
(-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))
(/.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 r))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 r)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 r))) (fabs.f64 r))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 r))) (fabs.f64 r)))
Outputs
p
r
q
(*.f64 #s(literal -1 binary64) q)
(*.f64 q #s(literal -1 binary64))
(neg.f64 (*.f64 #s(literal 1 binary64) q))
(neg.f64 q)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/2 binary64) r)
(*.f64 r #s(literal -1/2 binary64))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(literal -1 binary64)
(*.f64 (pow.f64 (*.f64 p p) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 p p) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)))
(*.f64 (sqrt.f64 (fabs.f64 p)) (sqrt.f64 (fabs.f64 p)))
(*.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 p #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 p))
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 p p) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 p p))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 p))))
(fabs.f64 (neg.f64 (neg.f64 p)))
(fabs.f64 (neg.f64 (fabs.f64 p)))
(fabs.f64 (neg.f64 p))
(fabs.f64 (fabs.f64 p))
(fabs.f64 p)
(exp.f64 (*.f64 (log.f64 (*.f64 p p)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 r r) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 r r) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)))
(*.f64 (sqrt.f64 (fabs.f64 r)) (sqrt.f64 (fabs.f64 r)))
(*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 r #s(literal 1/2 binary64)) (pow.f64 r #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 r) (sqrt.f64 r))
(*.f64 (fabs.f64 r) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 r))
(pow.f64 (*.f64 r r) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 r)))
(sqrt.f64 (*.f64 r r))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 r))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 r)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (neg.f64 r) #s(literal 1 binary64)))
(fabs.f64 (*.f64 r #s(literal 1 binary64)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 r))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 r)))
(fabs.f64 (*.f64 #s(literal 1 binary64) r))
(fabs.f64 (neg.f64 (neg.f64 r)))
(fabs.f64 (neg.f64 (fabs.f64 r)))
(fabs.f64 (neg.f64 r))
(fabs.f64 (fabs.f64 r))
(fabs.f64 r)
(exp.f64 (*.f64 (log.f64 (*.f64 r r)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (fabs.f64 p))) (fabs.f64 r))) (fabs.f64 r))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (fabs.f64 r))) (fabs.f64 p))) (fabs.f64 p))
(*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 p r))) (fabs.f64 r))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fabs.f64 p)) (fabs.f64 r))) (fabs.f64 r))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p))) (fabs.f64 p))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (fabs.f64 p))) (fabs.f64 p))
(/.f64 (-.f64 (*.f64 r r) (*.f64 (neg.f64 (neg.f64 (fabs.f64 p))) (neg.f64 (neg.f64 (fabs.f64 p))))) (-.f64 (fabs.f64 r) (neg.f64 (neg.f64 (fabs.f64 p)))))
(/.f64 (-.f64 (*.f64 p p) (*.f64 (neg.f64 (neg.f64 (fabs.f64 r))) (neg.f64 (neg.f64 (fabs.f64 r))))) (-.f64 (fabs.f64 p) (neg.f64 (neg.f64 (fabs.f64 r)))))
(/.f64 (-.f64 (*.f64 p p) (*.f64 r r)) (+.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r))))
(/.f64 (-.f64 (*.f64 p p) (*.f64 r r)) (-.f64 (fabs.f64 p) (fabs.f64 r)))
(/.f64 (-.f64 (*.f64 r r) (*.f64 p p)) (+.f64 (fabs.f64 r) (neg.f64 (fabs.f64 p))))
(/.f64 (-.f64 (*.f64 r r) (*.f64 p p)) (-.f64 (fabs.f64 r) (fabs.f64 p)))
(/.f64 (+.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 p))) #s(literal 3 binary64))) (+.f64 (*.f64 r r) (-.f64 (*.f64 (neg.f64 (neg.f64 (fabs.f64 p))) (neg.f64 (neg.f64 (fabs.f64 p)))) (*.f64 (fabs.f64 r) (neg.f64 (neg.f64 (fabs.f64 p)))))))
(/.f64 (+.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 r))) #s(literal 3 binary64))) (+.f64 (*.f64 p p) (-.f64 (*.f64 (neg.f64 (neg.f64 (fabs.f64 r))) (neg.f64 (neg.f64 (fabs.f64 r)))) (*.f64 (fabs.f64 p) (neg.f64 (neg.f64 (fabs.f64 r)))))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fabs.f64 p)) #s(literal 3 binary64))) (+.f64 (*.f64 r r) (+.f64 (*.f64 p p) (*.f64 (fabs.f64 r) (neg.f64 (fabs.f64 p))))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fabs.f64 r)) #s(literal 3 binary64))) (+.f64 (*.f64 p p) (+.f64 (*.f64 r r) (*.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r))))))
(/.f64 (+.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (fabs.f64 r) #s(literal 3 binary64))) (+.f64 (*.f64 p p) (-.f64 (*.f64 r r) (fabs.f64 (*.f64 r p)))))
(/.f64 (+.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (fabs.f64 p) #s(literal 3 binary64))) (+.f64 (*.f64 r r) (-.f64 (*.f64 p p) (*.f64 (fabs.f64 r) (fabs.f64 p)))))
(neg.f64 (neg.f64 (+.f64 (fabs.f64 r) (fabs.f64 p))))
(fma.f64 (fabs.f64 r) #s(literal 1 binary64) (neg.f64 (neg.f64 (fabs.f64 p))))
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#s(literal 1 binary64)
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#s(literal 1/2 binary64)
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 p)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 p))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 p)) (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (*.f64 (fabs.f64 r) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (*.f64 (fabs.f64 p) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 r)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 r)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 r)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 r)) (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 p)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 p)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 p)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 p)) (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fabs.f64 r) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (*.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
(fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 r) #s(literal 1/2 binary64) (*.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 p) #s(literal 1/2 binary64) (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 r) (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 r)) (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 p)) (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))))))
(+.f64 (*.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))

eval211.0ms (3.7%)

Memory
-5.6MiB live, 323.2MiB allocated; 107ms collecting garbage
Compiler

Compiled 54 296 to 7 356 computations (86.5% saved)

prune66.0ms (1.2%)

Memory
14.0MiB live, 110.8MiB allocated; 20ms collecting garbage
Pruning

34 alts after pruning (30 fresh and 4 done)

PrunedKeptTotal
New1 164151 179
Fresh151530
Picked505
Done-341
Total1 181341 215
Accuracy
88.4%
Counts
1 215 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 #s(approx (- r p) r) #s(approx (- r p) r))))) (fabs.f64 r))) (fabs.f64 r)))
2.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (/.f64 r (fabs.f64 r)))) (fabs.f64 r)))
26.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (*.f64 q (-.f64 (/.f64 (fabs.f64 p) (*.f64 q (fabs.f64 r))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 r))))))) (fabs.f64 r)))
31.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (*.f64 #s(literal -1 binary64) (/.f64 r (fabs.f64 r))))) (fabs.f64 r)))
29.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (*.f64 #s(literal -2 binary64) (/.f64 q (fabs.f64 r))))) (fabs.f64 r)))
1.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 #s(approx (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))) q)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 r))))))) (fabs.f64 r)))
11.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 #s(approx (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 r (fabs.f64 r))) p)) (/.f64 #s(literal 1 binary64) (fabs.f64 r)))))) (fabs.f64 r)))
23.0%
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))))) #s(literal 1/2 binary64))
25.9%
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
22.2%
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 #s(approx (- r p) r) #s(approx (- r p) r) (*.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
38.5%
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (*.f64 #s(literal 2 binary64) q))) #s(literal 1/2 binary64))
21.5%
(*.f64 (-.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 r r)) #s(literal 1/2 binary64))) (fabs.f64 p)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
13.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 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))))))))
16.8%
#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)) (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)))))))
2.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (-.f64 q (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64))))
2.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p) #s(literal 1/2 binary64)) p))
14.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64))) p))
38.3%
#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))))
2.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (fma.f64 (/.f64 (neg.f64 q) p) (/.f64 q p) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
0.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p) (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p) #s(literal 1/2 binary64)))))
2.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (-.f64 (/.f64 (*.f64 (neg.f64 q) q) (*.f64 p p)) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #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 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))))
2.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
5.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
5.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
2.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
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)))))
32.1%
#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 r) r) (fabs.f64 p)) p)) #s(literal 1/2 binary64)))))
12.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))))))
39.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
1.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (*.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))) (pow.f64 q #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) p)))))
17.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))))
14.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)))))
12.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))))
Compiler

Compiled 2 742 to 1 833 computations (33.2% saved)

sample0.0ms (0.0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2
1/2
1
(/ 1 2)
-1
-1/2
Outputs
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 10 to 8 computations (20.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series150.0ms (2.6%)

Memory
-3.9MiB live, 221.4MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166916073
Stop Event
iter-limit
Counts
44 → 323
Calls
Call 1
Inputs
r
(fabs.f64 r)
p
(fabs.f64 p)
(+.f64 (fabs.f64 r) (fabs.f64 p))
q
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) q)
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (*.f64 #s(literal 2 binary64) q))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (*.f64 #s(literal 2 binary64) q)))
#s(literal 1/2 binary64)
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (*.f64 #s(literal 2 binary64) q))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) p)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 r (fabs.f64 r))
#s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (/.f64 r (fabs.f64 r)))
(+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (/.f64 r (fabs.f64 r))))
(*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (/.f64 r (fabs.f64 r)))) (fabs.f64 r))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (/.f64 r (fabs.f64 r)))) (fabs.f64 r)))
#s(literal -1 binary64)
(pow.f64 q #s(literal 2 binary64))
(/.f64 (pow.f64 q #s(literal 2 binary64)) p)
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))
#s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))))
#s(literal -1/2 binary64)
(/.f64 (fabs.f64 p) p)
(/.f64 (fabs.f64 r) p)
(+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r))
(/.f64 #s(literal 1 binary64) p)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))
(*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))
(*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
#s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))))
(*.f64 p #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))))
(*.f64 #s(literal -1 binary64) (*.f64 p #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.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 binary64) (*.f64 p #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))))))
Outputs
#s(approx p p)
#s(approx (fabs p) (fabs.f64 p))
#s(approx (+ (fabs r) (fabs p)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (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 (+ (* (- r p) (- r p)) (* (* q 4) q))) (+.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 (+ (* (- r p) (- r p)) (* (* q 4) q))) (+.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 (+ (* (- r p) (- r p)) (* (* q 4) q))) (+.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 (- (+ (fabs r) (fabs p)) (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q)))) (-.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 r) (fabs p)) (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q)))) (-.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 r) (fabs p)) (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q)))) (-.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 r) (fabs p)) (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q)))) (-.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 r) (fabs p)) (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q)))) 1/2) (*.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 (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q)))) 1/2) (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))))))))
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#s(approx q q)
#s(approx (* 2 q) (*.f64 #s(literal 2 binary64) q))
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#s(approx (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (*.f64 q (fabs.f64 r))) (/.f64 (fabs.f64 p) (fabs.f64 r)))) q)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 r)))))))
#s(approx (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fabs.f64 r)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (fabs.f64 r)))) q) (/.f64 (fabs.f64 p) (fabs.f64 r)))) q)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 r)))))))
#s(approx (* (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (fabs r)) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fabs.f64 r) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 2 binary64)))))
#s(approx (* (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (fabs r)) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) q) (*.f64 (fabs.f64 r) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))))) q)) #s(literal 2 binary64)))))
#s(approx (* (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (fabs r)) (*.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 -1/4 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) q) (*.f64 (fabs.f64 r) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))))) q)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (* (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (fabs r))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fabs.f64 r) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (* (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (fabs r))) (*.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 r p) #s(literal 2 binary64)) q) (*.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 r) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r)))))) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (* (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (fabs r))) (*.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 r p) #s(literal 2 binary64)) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) q) (*.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 r) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r)))))) q)) #s(literal 1 binary64)))))
Calls

9 calls:

TimeVariablePoint
21.0ms
r
inf
9.0ms
p
0
5.0ms
p
-inf
5.0ms
r
0
5.0ms
r
-inf

rewrite386.0ms (6.8%)

Memory
6.4MiB live, 356.9MiB allocated; 101ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081691
0112609
1655592
22774588
04668566
Stop Event
iter-limit
node-limit
iter-limit
Counts
44 → 598
Calls
Call 1
Inputs
r
(fabs.f64 r)
p
(fabs.f64 p)
(+.f64 (fabs.f64 r) (fabs.f64 p))
q
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) q)
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (*.f64 #s(literal 2 binary64) q))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (*.f64 #s(literal 2 binary64) q)))
#s(literal 1/2 binary64)
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (*.f64 #s(literal 2 binary64) q))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) p)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 r (fabs.f64 r))
#s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (/.f64 r (fabs.f64 r)))
(+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (/.f64 r (fabs.f64 r))))
(*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (/.f64 r (fabs.f64 r)))) (fabs.f64 r))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (/.f64 r (fabs.f64 r)))) (fabs.f64 r)))
#s(literal -1 binary64)
(pow.f64 q #s(literal 2 binary64))
(/.f64 (pow.f64 q #s(literal 2 binary64)) p)
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))
#s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))))
#s(literal -1/2 binary64)
(/.f64 (fabs.f64 p) p)
(/.f64 (fabs.f64 r) p)
(+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r))
(/.f64 #s(literal 1 binary64) p)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))
(*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))
(*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
#s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))))
(*.f64 p #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))))
(*.f64 #s(literal -1 binary64) (*.f64 p #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.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 binary64) (*.f64 p #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))))))
Outputs
r
(*.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)))
(*.f64 (sqrt.f64 (fabs.f64 r)) (sqrt.f64 (fabs.f64 r)))
(*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 r #s(literal 1/2 binary64)) (pow.f64 r #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 r) (sqrt.f64 r))
(*.f64 #s(literal 1 binary64) (fabs.f64 r))
(*.f64 (fabs.f64 r) #s(literal 1 binary64))
(pow.f64 (*.f64 r r) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 r)))
(sqrt.f64 (*.f64 r r))
(fabs.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 r)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 r)))
(fabs.f64 (*.f64 (neg.f64 r) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (fabs.f64 r) #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (fabs.f64 r)))
(fabs.f64 (neg.f64 r))
(fabs.f64 (fabs.f64 r))
(fabs.f64 r)
(exp.f64 (*.f64 (log.f64 (*.f64 r r)) #s(literal 1/2 binary64)))
p
(*.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)))
(*.f64 (sqrt.f64 (fabs.f64 p)) (sqrt.f64 (fabs.f64 p)))
(*.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 p #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 p))
(*.f64 (copysign.f64 #s(literal -1 binary64) p) p)
(*.f64 #s(literal 1 binary64) (fabs.f64 p))
(*.f64 (fabs.f64 p) #s(literal 1 binary64))
(*.f64 p (copysign.f64 #s(literal -1 binary64) p))
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 p)) p)) (neg.f64 (neg.f64 p)))
(/.f64 (neg.f64 (*.f64 (fabs.f64 p) p)) (neg.f64 p))
(/.f64 (*.f64 (neg.f64 (fabs.f64 p)) p) (neg.f64 p))
(/.f64 (*.f64 (fabs.f64 p) p) p)
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 p p) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 p p))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 p))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 p)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 p)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (neg.f64 p) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 p) #s(literal 1 binary64)))
(fabs.f64 (*.f64 p #s(literal 1 binary64)))
(fabs.f64 (*.f64 (fabs.f64 p) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal 1 binary64) p))
(fabs.f64 (neg.f64 (neg.f64 p)))
(fabs.f64 (neg.f64 (fabs.f64 p)))
(fabs.f64 (neg.f64 p))
(fabs.f64 (fabs.f64 p))
(fabs.f64 p)
(exp.f64 (*.f64 (log.f64 (*.f64 p p)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p))) (fabs.f64 p))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fabs.f64 p)) (fabs.f64 r))) (fabs.f64 r))
(*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 p r))) (fabs.f64 r))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (fabs.f64 p))) (fabs.f64 p))
(/.f64 (-.f64 (*.f64 r r) (*.f64 p p)) (+.f64 (fabs.f64 r) (neg.f64 (fabs.f64 p))))
(/.f64 (-.f64 (*.f64 r r) (*.f64 p p)) (-.f64 (fabs.f64 r) (fabs.f64 p)))
(/.f64 (-.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fabs.f64 r)) #s(literal 3 binary64))) (+.f64 (*.f64 p p) (+.f64 (*.f64 r r) (*.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r))))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fabs.f64 p)) #s(literal 3 binary64))) (+.f64 (*.f64 r r) (+.f64 (*.f64 p p) (*.f64 (fabs.f64 r) (neg.f64 (fabs.f64 p))))))
(/.f64 (-.f64 (*.f64 p p) (*.f64 r r)) (+.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r))))
(/.f64 (-.f64 (*.f64 p p) (*.f64 r r)) (-.f64 (fabs.f64 p) (fabs.f64 r)))
(/.f64 (+.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (fabs.f64 p) #s(literal 3 binary64))) (+.f64 (*.f64 r r) (-.f64 (*.f64 p p) (*.f64 (fabs.f64 r) (fabs.f64 p)))))
(/.f64 (+.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (fabs.f64 r) #s(literal 3 binary64))) (+.f64 (*.f64 p p) (-.f64 (*.f64 r r) (fabs.f64 (*.f64 p r)))))
(neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p)))
(neg.f64 (-.f64 (neg.f64 (fabs.f64 p)) (fabs.f64 r)))
(fma.f64 (copysign.f64 #s(literal -1 binary64) p) p (neg.f64 (neg.f64 (fabs.f64 r))))
(fma.f64 (copysign.f64 #s(literal -1 binary64) p) p (fabs.f64 r))
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (neg.f64 (neg.f64 (fabs.f64 r))))
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (fabs.f64 r))
(fma.f64 #s(literal 1 binary64) (fabs.f64 r) (neg.f64 (neg.f64 (fabs.f64 p))))
(fma.f64 #s(literal 1 binary64) (fabs.f64 r) (fabs.f64 p))
(fma.f64 (fabs.f64 p) #s(literal 1 binary64) (neg.f64 (neg.f64 (fabs.f64 r))))
(fma.f64 (fabs.f64 p) #s(literal 1 binary64) (fabs.f64 r))
(fma.f64 p (copysign.f64 #s(literal -1 binary64) p) (neg.f64 (neg.f64 (fabs.f64 r))))
(fma.f64 p (copysign.f64 #s(literal -1 binary64) p) (fabs.f64 r))
(fma.f64 (fabs.f64 r) #s(literal 1 binary64) (neg.f64 (neg.f64 (fabs.f64 p))))
(fma.f64 (fabs.f64 r) #s(literal 1 binary64) (fabs.f64 p))
(-.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r)))
(-.f64 (fabs.f64 r) (neg.f64 (fabs.f64 p)))
(+.f64 (fabs.f64 p) (neg.f64 (neg.f64 (fabs.f64 r))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(+.f64 (fabs.f64 r) (neg.f64 (neg.f64 (fabs.f64 p))))
(+.f64 (fabs.f64 r) (fabs.f64 p))
q
#s(literal 2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 q q)) q)
(*.f64 #s(literal 2 binary64) q)
(*.f64 q #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 q q) (*.f64 q q)) (-.f64 q q))
(/.f64 (+.f64 (pow.f64 q #s(literal 3 binary64)) (pow.f64 q #s(literal 3 binary64))) (fma.f64 q q (-.f64 (*.f64 q q) (*.f64 q q))))
(fma.f64 #s(literal 1 binary64) q (*.f64 #s(literal 1 binary64) q))
(fma.f64 q #s(literal 1 binary64) (*.f64 q #s(literal 1 binary64)))
(-.f64 q (neg.f64 q))
(+.f64 (*.f64 q #s(literal 1 binary64)) (*.f64 q #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) q) (*.f64 #s(literal 1 binary64) q))
(+.f64 q q)
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (+.f64 q q))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (+.f64 q q))) (+.f64 (fabs.f64 p) (fabs.f64 r)))) (+.f64 (fabs.f64 p) (fabs.f64 r)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (+.f64 q q))) (fabs.f64 r))) (fabs.f64 r))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (+.f64 q q)) (+.f64 (fabs.f64 p) (fabs.f64 r)))) (+.f64 (fabs.f64 p) (fabs.f64 r)))
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(neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r) r (*.f64 (/.f64 #s(literal -1/2 binary64) p) r))
(fma.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r) (*.f64 r (/.f64 #s(literal -1/2 binary64) p)))
(+.f64 (*.f64 r (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r)) (*.f64 r (/.f64 #s(literal -1/2 binary64) p)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r) r) (*.f64 (/.f64 #s(literal -1/2 binary64) p) r))
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r) (/.f64 #s(literal 1/2 binary64) p))) r)
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r) (/.f64 #s(literal 1/2 binary64) p)) r) #s(literal -1 binary64))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r) (/.f64 #s(literal 1/2 binary64) p)) (neg.f64 r))
(*.f64 (neg.f64 r) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r) (/.f64 #s(literal 1/2 binary64) p)))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r) (/.f64 #s(literal 1/2 binary64) p)) r))
(*.f64 r (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r) (/.f64 #s(literal 1/2 binary64) p)) #s(literal -1 binary64)))
(*.f64 r (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r) (/.f64 #s(literal 1/2 binary64) p))))
(*.f64 r (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r) (/.f64 #s(literal 1/2 binary64) p)) r)))
(neg.f64 (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r) (/.f64 #s(literal 1/2 binary64) p)) r) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 r) (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r))))
(neg.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r) (/.f64 #s(literal 1/2 binary64) p)) r))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r) (neg.f64 r) (*.f64 (/.f64 #s(literal -1/2 binary64) p) (neg.f64 r)))
(fma.f64 (neg.f64 r) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r) (*.f64 (neg.f64 r) (/.f64 #s(literal -1/2 binary64) p)))
(+.f64 (*.f64 (neg.f64 r) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r)) (*.f64 (neg.f64 r) (/.f64 #s(literal -1/2 binary64) p)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64))) r) (neg.f64 r)) (*.f64 (/.f64 #s(literal -1/2 binary64) p) (neg.f64 r)))
#s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))
(*.f64 #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)) p)
(*.f64 p #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)))
(*.f64 (*.f64 #s(literal -1 binary64) #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))) p)
(*.f64 (neg.f64 #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))) p)
(*.f64 (neg.f64 p) #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)))
(*.f64 (*.f64 #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)) p) #s(literal -1 binary64))
(*.f64 #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)) (neg.f64 p))
(*.f64 #s(literal -1 binary64) (*.f64 #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)) p))
(*.f64 p (*.f64 #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)) #s(literal -1 binary64)))
(*.f64 p (neg.f64 #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)) p)))
(neg.f64 (*.f64 (*.f64 #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)) p) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))))

eval148.0ms (2.6%)

Memory
-2.7MiB live, 312.8MiB allocated; 47ms collecting garbage
Compiler

Compiled 58 335 to 7 555 computations (87.0% saved)

prune62.0ms (1.1%)

Memory
-11.9MiB live, 133.3MiB allocated; 25ms collecting garbage
Pruning

36 alts after pruning (31 fresh and 5 done)

PrunedKeptTotal
New95111962
Fresh52025
Picked505
Done-154
Total96036996
Accuracy
88.4%
Counts
996 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.7%
(*.f64 (fma.f64 #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (copysign.f64 #s(literal -1 binary64) r)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fabs.f64 r))
20.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 #s(approx (- r p) r) #s(approx (- r p) r))))) (fabs.f64 r))) (fabs.f64 r)))
26.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (*.f64 q (-.f64 (/.f64 (fabs.f64 p) (*.f64 q (fabs.f64 r))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 r))))))) (fabs.f64 r)))
31.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (*.f64 #s(literal -1 binary64) (/.f64 r (fabs.f64 r))))) (fabs.f64 r)))
1.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 #s(approx (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))) q)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 r))))))) (fabs.f64 r)))
11.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 #s(approx (+ 1 (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 r (fabs.f64 r))) p)) (/.f64 #s(literal 1 binary64) (fabs.f64 r)))))) (fabs.f64 r)))
35.6%
(*.f64 (-.f64 (+.f64 (sqrt.f64 (*.f64 r r)) (fabs.f64 p)) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (*.f64 #s(literal 2 binary64) q))) #s(literal 1/2 binary64))
23.0%
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))))) #s(literal 1/2 binary64))
25.9%
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
22.2%
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 #s(approx (- r p) r) #s(approx (- r p) r) (*.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
38.5%
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (+.f64 q q))) #s(literal 1/2 binary64))
21.5%
(*.f64 (-.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 r r)) #s(literal 1/2 binary64))) (fabs.f64 p)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
28.2%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (+.f64 q q))) (fabs.f64 r))) (fabs.f64 r)) #s(literal 1/2 binary64))
13.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 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))))))))
16.8%
#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)) (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)))))))
2.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (-.f64 q (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64))))
2.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p) #s(literal 1/2 binary64)) p))
14.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) p) #s(literal -1/2 binary64))) p))
38.3%
#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))))
0.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p) (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p) #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 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))))
2.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
5.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
5.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
2.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
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)))))
32.1%
#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 r) r) (fabs.f64 p)) p)) #s(literal 1/2 binary64)))))
14.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 r #s(approx (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p))) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 r p))) r))))))))
6.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 r #s(approx (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p))) (/.f64 #s(literal -1/2 binary64) p))))))))
6.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) #s(approx (* -1 (* r (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r p)))))))
39.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
17.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (/.f64 (*.f64 (neg.f64 q) q) p)))
17.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 (*.f64 (neg.f64 q) q) (/.f64 #s(literal 1 binary64) p))))
15.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 q (/.f64 q p)))))
14.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)))))
12.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))))
Compiler

Compiled 1 553 to 1 025 computations (34.0% saved)

regimes350.0ms (6.2%)

Memory
5.2MiB live, 581.4MiB allocated; 125ms collecting garbage
Counts
9 → 1
30 → 2
31 → 2
81 → 3
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 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) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(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 binary64) (*.f64 q #s(approx (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1) #s(literal -1 binary64)))))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
Call 2
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 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) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(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 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)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (/.f64 (*.f64 (neg.f64 q) q) p)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 q (/.f64 q p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (-.f64 q (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 (*.f64 (neg.f64 q) q) (/.f64 #s(literal 1 binary64) p))))
(*.f64 (fma.f64 #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (copysign.f64 #s(literal -1 binary64) r)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fabs.f64 r))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (+.f64 q q))) #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 #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) #s(approx (* -1 (* r (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r p)))))))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (*.f64 #s(literal 2 binary64) q))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)))))
#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 #s(approx (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 r p))) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 r #s(approx (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p))) (/.f64 #s(literal -1/2 binary64) p))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 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 (*.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 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64))))
(*.f64 (-.f64 (+.f64 (sqrt.f64 (*.f64 r r)) (fabs.f64 p)) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (*.f64 #s(literal 2 binary64) q))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (/.f64 r (fabs.f64 r)))) (fabs.f64 r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) 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 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (+.f64 q q))) (fabs.f64 r))) (fabs.f64 r)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (*.f64 #s(literal -2 binary64) (/.f64 q (fabs.f64 r))))) (fabs.f64 r)))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (/.f64 (*.f64 (neg.f64 q) q) p)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
Call 3
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 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) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(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 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)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (/.f64 (*.f64 (neg.f64 q) q) p)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 q (/.f64 q p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (-.f64 q (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 (*.f64 (neg.f64 q) q) (/.f64 #s(literal 1 binary64) p))))
(*.f64 (fma.f64 #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (copysign.f64 #s(literal -1 binary64) r)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fabs.f64 r))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (+.f64 q q))) #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 #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) #s(approx (* -1 (* r (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r p)))))))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (*.f64 #s(literal 2 binary64) q))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)))))
#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 #s(approx (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 r p))) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p #s(approx (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 r #s(approx (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p))) (/.f64 #s(literal -1/2 binary64) p))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 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 (*.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 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64))))
(*.f64 (-.f64 (+.f64 (sqrt.f64 (*.f64 r r)) (fabs.f64 p)) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (*.f64 #s(literal 2 binary64) q))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (/.f64 r (fabs.f64 r)))) (fabs.f64 r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) 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 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) #s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 4) q))) (+.f64 q q))) (fabs.f64 r))) (fabs.f64 r)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (*.f64 #s(literal -2 binary64) (/.f64 q (fabs.f64 r))))) (fabs.f64 r)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (*.f64 #s(literal -1 binary64) (/.f64 r (fabs.f64 r))))) (fabs.f64 r)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (*.f64 #s(literal -1 binary64) (/.f64 r (fabs.f64 r))))) (fabs.f64 r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
Call 4
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 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) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(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 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)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (/.f64 (*.f64 (neg.f64 q) q) p)))
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#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))))
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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 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
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(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q #s(literal 4 binary64)) q)))) (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (*.f64 (*.f64 q #s(literal 4 binary64)) q)))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
#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))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))) (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)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (*.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))) (pow.f64 q #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) p)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 (*.f64 r r) (*.f64 p p)) (-.f64 (fabs.f64 r) (fabs.f64 p))) (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)) (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 p #s(approx (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.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 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)))) #s(literal 1/2 binary64)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p) (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p)) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) p)) p) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (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 (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)) (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)) (/.f64 (-.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))) (fabs.f64 r)) #s(literal 3 binary64))) (+.f64 (*.f64 p p) (fma.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))) (fabs.f64 r)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))) (fabs.f64 r)) (*.f64 (fabs.f64 p) (-.f64 (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))) (fabs.f64 r)))))))
Outputs
#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 r) r) (fabs.f64 p)) p)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (- (fabs p) (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (fabs r)) (*.f64 #s(literal -1 binary64) (/.f64 r (fabs.f64 r))))) (fabs.f64 r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
Calls

24 calls:

40.0ms
q
30.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
26.0ms
p
25.0ms
r
25.0ms
(pow.f64 q #s(literal 2 binary64))
Results
AccuracySegmentsBranch
39.3%1p
39.3%1r
39.3%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))))))
39.3%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)))))))
39.3%1(pow.f64 q #s(literal 2 binary64))
39.3%1(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
39.3%1q
45.0%2(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
45.0%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)))))))
42.6%2p
42.8%2r
51.3%2(pow.f64 q #s(literal 2 binary64))
51.3%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
51.3%2q
62.6%2(pow.f64 q #s(literal 2 binary64))
62.6%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
62.6%2q
65.3%3(pow.f64 q #s(literal 2 binary64))
65.3%3(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
53.4%2(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
53.4%2(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
55.5%3p
56.5%3r
65.3%3q
Compiler

Compiled 3 566 to 681 computations (80.9% saved)

bsearch73.0ms (1.3%)

Memory
12.9MiB live, 104.7MiB allocated; 27ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
38.0ms
3.208863269090673e-23
1.9820122072484278e-19
30.0ms
9.421267442937428e-107
1.2208513172054126e-104
Samples
15.0ms71×2valid
14.0ms86×0valid
13.0ms83×1valid
Compiler

Compiled 1 045 to 806 computations (22.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-pow2: 15.0ms (43.7% of total)
adjust: 6.0ms (17.5% of total)
ival-sqrt: 3.0ms (8.7% of total)
ival-mult!: 3.0ms (8.7% of total)
ival-add!: 2.0ms (5.8% of total)
ival-sub!: 2.0ms (5.8% of total)
ival-fabs: 2.0ms (5.8% of total)

bsearch2.0ms (0.0%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.208863269090673e-23
1.9820122072484278e-19
Compiler

Compiled 513 to 400 computations (22.0% saved)

bsearch28.0ms (0.5%)

Memory
-7.4MiB live, 39.4MiB allocated; 14ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
3.94205185678669e-67
1.6723617605559305e-66
Samples
11.0ms23×1valid
6.0ms30×2valid
3.0ms43×0valid
Compiler

Compiled 517 to 366 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-pow2: 10.0ms (55.8% of total)
adjust: 2.0ms (11.2% of total)
ival-add!: 1.0ms (5.6% of total)
ival-sub!: 1.0ms (5.6% of total)
ival-sqrt: 1.0ms (5.6% of total)
ival-mult!: 1.0ms (5.6% of total)
ival-fabs: 1.0ms (5.6% of total)

derivations735.0ms (13.0%)

Memory
-283.7MiB live, 125.0MiB allocated; 1.2s collecting garbage
Stop Event
fuel
Compiler

Compiled 285 to 75 computations (73.7% saved)

preprocess50.0ms (0.9%)

Memory
7.5MiB live, 99.3MiB allocated; 8ms collecting garbage
Symmetry

(abs q)

Compiler

Compiled 1 760 to 852 computations (51.6% saved)

end0.0ms (0.0%)

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

Profiling

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