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

Time bar (total: 3.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 24 to 20 computations (16.7% saved)

sample1.7s (46%)

Memory
-54.1MiB live, 1 618.8MiB allocated; 1.2s collecting garbage
Samples
1.3s8 253×0valid
1.0ms4valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-pow2: 692.0ms (64.3% of total)
ival-sqrt: 132.0ms (12.3% of total)
ival-fabs: 94.0ms (8.7% of total)
ival-mult!: 68.0ms (6.3% of total)
ival-add!: 60.0ms (5.6% of total)
ival-sub!: 28.0ms (2.6% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

preprocess59.0ms (1.6%)

Memory
-27.6MiB live, 62.0MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073205
1329200
21459200
37313200
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
Symmetry

(abs q)

(sort p r)

Compiler

Compiled 40 to 36 computations (10% saved)

series40.0ms (1.1%)

Memory
35.1MiB live, 81.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07105358
Stop Event
iter-limit
Counts
18 → 136
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(-.f64 p r)
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
#s(literal 4 binary64)
(pow.f64 q #s(literal 2 binary64))
q
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.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))))))))
#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 p 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 (fabs.f64 p) (+.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)))))))))
#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 (fabs.f64 p) (+.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 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 #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))))))))))
#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 (fabs.f64 p) (+.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 p (fma.f64 #s(literal -1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 p (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (fabs.f64 p) (+.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)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (fabs.f64 p) (+.f64 (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)))) (*.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 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (fabs.f64 p) (+.f64 (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)))) (*.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 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (fabs.f64 p) (+.f64 (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)))) (*.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)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (fabs p) (fabs.f64 p))
#s(approx p p)
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (*.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (fma.f64 p (+.f64 p (*.f64 #s(literal -2 binary64) r)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (pow (- p r) 2) (pow.f64 r #s(literal 2 binary64)))
#s(approx (pow (- p r) 2) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (pow.f64 r #s(literal 2 binary64))))
#s(approx (pow (- p r) 2) (fma.f64 p (+.f64 p (*.f64 #s(literal -2 binary64) r)) (pow.f64 r #s(literal 2 binary64))))
#s(approx (- p r) (*.f64 #s(literal -1 binary64) r))
#s(approx (- p r) (-.f64 p r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (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 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p) (/.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 p (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p) (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 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 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (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 (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)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (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))) (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))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow.f64 p #s(literal 2 binary64)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 r p)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 r p) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (pow (- p r) 2) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 r p) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) 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 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))) 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 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (pow.f64 q #s(literal 2 binary64))) p) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))) p))))))
#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 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (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 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -2 binary64) (/.f64 (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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (+.f64 (fabs.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 (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))) p))))))
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#s(approx (fabs r) (fabs.f64 r))
#s(approx r r)
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#s(approx (pow (- p r) 2) (fma.f64 r (+.f64 r (*.f64 #s(literal -2 binary64) p)) (pow.f64 p #s(literal 2 binary64))))
#s(approx (- p r) (+.f64 p (*.f64 #s(literal -1 binary64) r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
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#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (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 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
#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 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 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 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 (fabs.f64 p) (+.f64 (fabs.f64 r) (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 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (fabs.f64 p) (+.f64 (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 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.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 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.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 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.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 (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
#s(approx (* 4 (pow q 2)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
#s(approx (pow q 2) (pow.f64 q #s(literal 2 binary64)))
#s(approx q q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (+.f64 #s(literal 1 binary64) (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(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (+.f64 #s(literal 1 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))) (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(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 #s(literal 2 binary64) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q)))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 q (+.f64 #s(literal 2 binary64) (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(approx (+ (+ (fabs p) (fabs r)) (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 1/4 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(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 1 binary64) (*.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(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (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(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 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (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 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(approx (+ (+ (fabs p) (fabs r)) (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 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) (/.f64 (fma.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(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
q
@0
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) p (fabs r) r (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow (- p r) 2) (- p r) (* 4 (pow q 2)) 4 (pow q 2) q)
2.0ms
p
@-inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) p (fabs r) r (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow (- p r) 2) (- p r) (* 4 (pow q 2)) 4 (pow q 2) q)
2.0ms
p
@0
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) p (fabs r) r (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow (- p r) 2) (- p r) (* 4 (pow q 2)) 4 (pow q 2) q)
2.0ms
q
@inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) p (fabs r) r (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow (- p r) 2) (- p r) (* 4 (pow q 2)) 4 (pow q 2) q)
2.0ms
r
@inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) p (fabs r) r (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow (- p r) 2) (- p r) (* 4 (pow q 2)) 4 (pow q 2) q)

rewrite70.0ms (1.9%)

Memory
-32.6MiB live, 64.8MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01893
03193
114893
0144189
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
18 → 294
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(-.f64 p r)
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
#s(literal 4 binary64)
(pow.f64 q #s(literal 2 binary64))
q
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1 binary64))) (+.f64 (fabs.f64 r) (fabs.f64 p)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) 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 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 p)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 p)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (+.f64 (fabs.f64 r) (fabs.f64 p))) (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p))))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (+.f64 (fabs.f64 r) (fabs.f64 p))) (+.f64 (fabs.f64 r) (fabs.f64 p)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p))) #s(literal 3/2 binary64)))) (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (+.f64 (fabs.f64 r) (fabs.f64 p)) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p)))) (+.f64 (fabs.f64 r) (fabs.f64 p))))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (+.f64 (fabs.f64 r) (fabs.f64 p))) (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p)))) #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 r p) (*.f64 (+.f64 r p) (-.f64 p r))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) (-.f64 (*.f64 (*.f64 p p) p) (*.f64 (*.f64 r r) r))))
(neg.f64 (-.f64 r p))
(-.f64 (/.f64 (*.f64 p p) (+.f64 r p)) (/.f64 (*.f64 r r) (+.f64 r p)))
(-.f64 (/.f64 (*.f64 (*.f64 p p) p) (fma.f64 r (+.f64 r p) (*.f64 p p))) (/.f64 (*.f64 (*.f64 r r) r) (fma.f64 r (+.f64 r p) (*.f64 p p))))
(-.f64 p (neg.f64 (neg.f64 r)))
(-.f64 p r)
(exp.f64 (*.f64 (log.f64 (-.f64 p r)) #s(literal 1 binary64)))
(+.f64 (neg.f64 r) p)
(+.f64 p (neg.f64 r))
(*.f64 (*.f64 #s(literal 4 binary64) q) q)
(*.f64 (*.f64 q q) #s(literal 4 binary64))
(*.f64 q (*.f64 q #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 q q))
#s(literal 4 binary64)
(*.f64 (fabs.f64 q) (fabs.f64 q))
(*.f64 (neg.f64 q) (neg.f64 q))
(*.f64 (exp.f64 (log.f64 q)) (exp.f64 (log.f64 q)))
(*.f64 q q)
(pow.f64 (exp.f64 (log.f64 q)) #s(literal 2 binary64))
(pow.f64 (*.f64 q q) #s(literal 1 binary64))
(pow.f64 q #s(literal 2 binary64))
(fabs.f64 (*.f64 q q))
(exp.f64 (*.f64 (log.f64 q) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 q) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 q) #s(literal 2 binary64))))
q

eval49.0ms (1.3%)

Memory
37.6MiB live, 82.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 7 168 to 2 197 computations (69.3% saved)

prune49.0ms (1.3%)

Memory
-22.1MiB live, 24.0MiB allocated; 3ms collecting garbage
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New40414418
Fresh000
Picked101
Done000
Total40514419
Accuracy
99.2%
Counts
419 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 p) (fabs.f64 r))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p))))))
34.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
50.3%
(*.f64 (+.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 p)) #s(literal 1/2 binary64))
54.9%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) p))) r)))))
42.5%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
2.9%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))))
8.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
1.9%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
1.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
8.6%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
2.6%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) r))))))
10.1%
#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 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
61.1%
#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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
1.2%
#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 688 to 684 computations (0.6% saved)

series91.0ms (2.4%)

Memory
-14.1MiB live, 86.2MiB allocated; 69ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04933809
Stop Event
iter-limit
Counts
34 → 116
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
(*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)))))
#s(literal -1 binary64)
(*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))
p
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))
#s(literal -1/2 binary64)
(/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)
(+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))
r
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
(fabs.f64 r)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
(*.f64 #s(literal -1 binary64) q)
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) p)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
(*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))
(/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))))
(*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p))
(/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)
(+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r)))
(+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))
(*.f64 #s(literal -1 binary64) r)
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.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))))))))
#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 p 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 (fabs.f64 p) (+.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)))))))))
#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 (fabs.f64 p) (+.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 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 #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))))))))))
#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 (fabs.f64 p) (+.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 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 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) (*.f64 #s(literal -1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (*.f64 #s(literal 1/2 binary64) p)))
#s(approx p p)
#s(approx (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)))
#s(approx (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (*.f64 #s(literal 1/2 binary64) p)) p))
#s(approx (/ (+ r (+ (fabs p) (fabs r))) p) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))
#s(approx (+ r (+ (fabs p) (fabs r))) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))
#s(approx (+ (fabs p) (fabs r)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (fabs p) (fabs.f64 p))
#s(approx (* 1/2 p) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
#s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.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 (/ (+ (fabs p) (fabs r)) q) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r)))))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))))))
#s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))
#s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (/.f64 (fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))))) p))
#s(approx (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p))
#s(approx (+ (fabs p) (+ (fabs r) (* -1 r))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (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 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p) (/.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 p (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p) (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 p (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)) #s(literal 1/2 binary64))))
#s(approx (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)))))
#s(approx (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))
#s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (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 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) 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 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))) 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 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (pow.f64 q #s(literal 2 binary64))) p) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))) p))))))
#s(approx (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)) #s(literal 1/2 binary64)))))
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#s(approx r r)
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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 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 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 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 (fabs.f64 p) (+.f64 (fabs.f64 r) (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 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 (* -1 q) (*.f64 #s(literal -1 binary64) q))
#s(approx q q)
#s(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))
#s(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (+.f64 q (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (/.f64 (+.f64 q (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (+.f64 #s(literal 1 binary64) (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(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (+.f64 #s(literal 1 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))) (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(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs 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 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 1 binary64) (*.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(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (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(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.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)))))
Calls

9 calls:

TimeVariablePointExpression
39.0ms
r
@-inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) -1/2 (/ (+ r (+ (fabs p) (fabs r))) p) (+ r (+ (fabs p) (fabs r))) r (+ (fabs p) (fabs r)) (fabs p) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (/ (+ (fabs p) (fabs r)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p) (+ (fabs p) (+ (fabs r) (* -1 r))) (+ (fabs r) (* -1 r)) (* -1 r))
7.0ms
q
@-inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) -1/2 (/ (+ r (+ (fabs p) (fabs r))) p) (+ r (+ (fabs p) (fabs r))) r (+ (fabs p) (fabs r)) (fabs p) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (/ (+ (fabs p) (fabs r)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p) (+ (fabs p) (+ (fabs r) (* -1 r))) (+ (fabs r) (* -1 r)) (* -1 r))
6.0ms
p
@inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) -1/2 (/ (+ r (+ (fabs p) (fabs r))) p) (+ r (+ (fabs p) (fabs r))) r (+ (fabs p) (fabs r)) (fabs p) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (/ (+ (fabs p) (fabs r)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p) (+ (fabs p) (+ (fabs r) (* -1 r))) (+ (fabs r) (* -1 r)) (* -1 r))
5.0ms
p
@-inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) -1/2 (/ (+ r (+ (fabs p) (fabs r))) p) (+ r (+ (fabs p) (fabs r))) r (+ (fabs p) (fabs r)) (fabs p) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (/ (+ (fabs p) (fabs r)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p) (+ (fabs p) (+ (fabs r) (* -1 r))) (+ (fabs r) (* -1 r)) (* -1 r))
4.0ms
p
@0
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) -1/2 (/ (+ r (+ (fabs p) (fabs r))) p) (+ r (+ (fabs p) (fabs r))) r (+ (fabs p) (fabs r)) (fabs p) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (/ (+ (fabs p) (fabs r)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p) (+ (fabs p) (+ (fabs r) (* -1 r))) (+ (fabs r) (* -1 r)) (* -1 r))

rewrite129.0ms (3.5%)

Memory
2.6MiB live, 187.1MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048366
069354
1362339
03895326
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
34 → 570
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
(*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)))))
#s(literal -1 binary64)
(*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))
p
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))
#s(literal -1/2 binary64)
(/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)
(+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))
r
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
(fabs.f64 r)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
(*.f64 #s(literal -1 binary64) q)
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) p)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
(*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))
(/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))))
(*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p))
(/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)
(+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r)))
(+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))
(*.f64 #s(literal -1 binary64) r)
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) p)
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) p)
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) p) #s(literal -1 binary64))
(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 p))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) p))
(*.f64 p (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 p (neg.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (neg.f64 p) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (neg.f64 p) (fma.f64 (pow.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) p))
(fma.f64 (neg.f64 p) (*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64)) (*.f64 (neg.f64 p) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 p) #s(literal 1/2 binary64) (*.f64 (neg.f64 p) (*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 p #s(literal 1/2 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 p #s(literal -1/2 binary64)) (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64)) (neg.f64 p) (*.f64 #s(literal 1/2 binary64) (neg.f64 p)))
(fma.f64 #s(literal -1 binary64) (*.f64 p #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 p #s(literal -1/2 binary64)) (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 p) (*.f64 (*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64)) (neg.f64 p)))
(+.f64 (*.f64 (neg.f64 p) (*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1/2 binary64))) (*.f64 (neg.f64 p) #s(literal 1/2 binary64)))
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p
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(/.f64 (fma.f64 (*.f64 r r) (neg.f64 r) (*.f64 (*.f64 r r) (fabs.f64 r))) (fma.f64 (neg.f64 r) (-.f64 (neg.f64 r) (fabs.f64 r)) (*.f64 r r)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 r) r) (-.f64 (*.f64 r r) (*.f64 r r))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 r) (-.f64 (neg.f64 r) (fabs.f64 r)) (*.f64 r r)) (fma.f64 (*.f64 r r) (neg.f64 r) (*.f64 (*.f64 r r) (fabs.f64 r)))))
(neg.f64 (-.f64 (fabs.f64 r) r))
(fma.f64 (sqrt.f64 r) (sqrt.f64 r) (neg.f64 r))
(fma.f64 (fabs.f64 r) #s(literal 1 binary64) (neg.f64 r))
(fma.f64 #s(literal -1 binary64) r (fabs.f64 r))
(fma.f64 r #s(literal -1 binary64) (fabs.f64 r))
(fma.f64 #s(literal 1 binary64) (fabs.f64 r) (neg.f64 r))
(-.f64 (/.f64 (*.f64 r r) (+.f64 (fabs.f64 r) r)) (/.f64 (*.f64 r r) (+.f64 (fabs.f64 r) r)))
(-.f64 (neg.f64 r) (neg.f64 (fabs.f64 r)))
(-.f64 (fabs.f64 r) r)
(-.f64 r (fabs.f64 r))
(+.f64 (/.f64 (*.f64 (*.f64 r r) (fabs.f64 r)) (fma.f64 (neg.f64 r) (-.f64 (neg.f64 r) (fabs.f64 r)) (*.f64 r r))) (/.f64 (*.f64 (*.f64 r r) (neg.f64 r)) (fma.f64 (neg.f64 r) (-.f64 (neg.f64 r) (fabs.f64 r)) (*.f64 r r))))
(+.f64 (neg.f64 (fabs.f64 r)) r)
(+.f64 (neg.f64 r) (fabs.f64 r))
(+.f64 (fabs.f64 r) (neg.f64 r))
(+.f64 r (neg.f64 (fabs.f64 r)))
(*.f64 #s(literal -1 binary64) r)
(*.f64 r #s(literal -1 binary64))
(neg.f64 r)

eval91.0ms (2.4%)

Memory
23.9MiB live, 162.8MiB allocated; 18ms collecting garbage
Compiler

Compiled 10 590 to 4 216 computations (60.2% saved)

prune31.0ms (0.8%)

Memory
19.6MiB live, 66.4MiB allocated; 2ms collecting garbage
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New72011731
Fresh279
Picked415
Done000
Total72619745
Accuracy
99.2%
Counts
745 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 p) (fabs.f64 r))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p))))))
50.3%
(*.f64 (+.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 p)) #s(literal 1/2 binary64))
45.1%
#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))))
42.5%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
54.9%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) p))) r)))))
34.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))))
7.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))))))
8.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
1.9%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
1.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
8.6%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
10.1%
#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 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
47.4%
#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(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) r) (/.f64 r p)))))))
1.2%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
14.5%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
2.9%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r)))))))
9.3%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))))))
67.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
40.1%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
Compiler

Compiled 1 065 to 1 025 computations (3.8% saved)

series44.0ms (1.2%)

Memory
-10.7MiB live, 81.3MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04403058
Stop Event
iter-limit
Counts
32 → 92
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
(fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(literal -1/2 binary64)
p
(*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))
#s(literal 1/2 binary64)
(+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))
r
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
(fabs.f64 r)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
(neg.f64 q)
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))))
(*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64)))
#s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))))))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))))
(+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r)))
(+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))
(*.f64 #s(literal -1 binary64) r)
#s(literal -1 binary64)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
(*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
(*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))
(/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.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))))))))
#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 p 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 (fabs.f64 p) (+.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)))))))))
#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 (fabs.f64 p) (+.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 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 #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))))))))))
#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 (fabs.f64 p) (+.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 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 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx p p)
#s(approx (+ r (+ (fabs p) (fabs r))) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))
#s(approx (+ (fabs p) (fabs r)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (fabs p) (fabs.f64 p))
#s(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
#s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r)))))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))))))
#s(approx (+ (fabs p) (+ (fabs r) (* -1 r))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))))
#s(approx (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
#s(approx (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.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 (/ (+ (fabs p) (fabs r)) q) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (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 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p) (/.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 p (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p) (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 p (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) 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 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))) 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 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (pow.f64 q #s(literal 2 binary64))) p) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))) p))))))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (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 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (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 p 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 (fabs.f64 p) (+.f64 (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 (fabs.f64 p) (+.f64 (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 #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))))))))))
#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 (fabs.f64 p) (+.f64 (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 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))) (*.f64 #s(literal 1/2 binary64) r)))
#s(approx (+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) (fma.f64 #s(literal -1/2 binary64) p (fma.f64 #s(literal 1/2 binary64) r (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))
#s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (fma.f64 #s(literal 1/2 binary64) r (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx r r)
#s(approx (fabs r) (fabs.f64 r))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (fma.f64 #s(literal -1/2 binary64) r (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))))))
#s(approx (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r)))) (fma.f64 #s(literal -1/2 binary64) r (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (+ (fabs r) (* -1 r)) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r)))
#s(approx (* -1 r) (*.f64 #s(literal -1 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) p))) r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) p))) r) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) p))) r) (+.f64 (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))) r)))))
#s(approx (+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) (*.f64 r (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 p r) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))))))
#s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)))))
#s(approx (+ r (+ (fabs p) (fabs r))) (*.f64 r (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)))))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 r (-.f64 (/.f64 (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))) r) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r)))) (*.f64 r (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 1/2 binary64))))
#s(approx (+ (fabs p) (+ (fabs r) (* -1 r))) (*.f64 r (-.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) #s(literal 1 binary64))))
#s(approx (+ (fabs r) (* -1 r)) (*.f64 r (-.f64 (/.f64 (fabs.f64 r) r) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.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 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r) (*.f64 #s(literal 1/2 binary64) (+.f64 p (+.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 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) r) (pow.f64 q #s(literal 2 binary64))) r) (*.f64 #s(literal 1/2 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))))) r))))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (/.f64 (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))) r) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) r)) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 1/2 binary64)))))
#s(approx (+ r (+ (fabs p) (fabs r))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 1 binary64)))))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))) r))))))
#s(approx (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r)))) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))))))
#s(approx (+ (fabs p) (+ (fabs r) (* -1 r))) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))))))
#s(approx (+ (fabs r) (* -1 r)) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 r) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (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 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
#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 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 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 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 (fabs.f64 p) (+.f64 (fabs.f64 r) (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 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 (neg q) (*.f64 #s(literal -1 binary64) q))
#s(approx q q)
#s(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (+.f64 q (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (+ 1 (* 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 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (/.f64 (+.f64 q (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))
#s(approx (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) (fma.f64 #s(literal -1 binary64) q (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))
#s(approx (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))) (+.f64 q (*.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))) (/.f64 (+.f64 q (*.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (+.f64 #s(literal 1 binary64) (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(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (+.f64 #s(literal 1 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))) (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(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))
#s(approx (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) (*.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 #s(literal 1 binary64) (*.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(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (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(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 #s(literal -1 binary64) (*.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
#s(approx (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.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)))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
p
@-inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) -1/2 p (* 1/2 (+ r (+ (fabs p) (fabs r)))) 1/2 (+ r (+ (fabs p) (fabs r))) r (+ (fabs p) (fabs r)) (fabs p) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r)))) (+ (fabs p) (+ (fabs r) (* -1 r))) (+ (fabs r) (* -1 r)) (* -1 r) -1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))) (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))) (* -1/2 (/ (+ (fabs p) (fabs r)) q)) (/ (+ (fabs p) (fabs r)) q))
3.0ms
r
@-inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) -1/2 p (* 1/2 (+ r (+ (fabs p) (fabs r)))) 1/2 (+ r (+ (fabs p) (fabs r))) r (+ (fabs p) (fabs r)) (fabs p) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r)))) (+ (fabs p) (+ (fabs r) (* -1 r))) (+ (fabs r) (* -1 r)) (* -1 r) -1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))) (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))) (* -1/2 (/ (+ (fabs p) (fabs r)) q)) (/ (+ (fabs p) (fabs r)) q))
3.0ms
p
@0
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) -1/2 p (* 1/2 (+ r (+ (fabs p) (fabs r)))) 1/2 (+ r (+ (fabs p) (fabs r))) r (+ (fabs p) (fabs r)) (fabs p) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r)))) (+ (fabs p) (+ (fabs r) (* -1 r))) (+ (fabs r) (* -1 r)) (* -1 r) -1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))) (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))) (* -1/2 (/ (+ (fabs p) (fabs r)) q)) (/ (+ (fabs p) (fabs r)) q))
3.0ms
r
@inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) -1/2 p (* 1/2 (+ r (+ (fabs p) (fabs r)))) 1/2 (+ r (+ (fabs p) (fabs r))) r (+ (fabs p) (fabs r)) (fabs p) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r)))) (+ (fabs p) (+ (fabs r) (* -1 r))) (+ (fabs r) (* -1 r)) (* -1 r) -1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))) (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))) (* -1/2 (/ (+ (fabs p) (fabs r)) q)) (/ (+ (fabs p) (fabs r)) q))
3.0ms
p
@inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (+ (* -1/2 p) (* 1/2 (+ r (+ (fabs p) (fabs r))))) -1/2 p (* 1/2 (+ r (+ (fabs p) (fabs r)))) 1/2 (+ r (+ (fabs p) (fabs r))) r (+ (fabs p) (fabs r)) (fabs p) (fabs r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r)))) (+ (fabs p) (+ (fabs r) (* -1 r))) (+ (fabs r) (* -1 r)) (* -1 r) -1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))) (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))) (* -1/2 (/ (+ (fabs p) (fabs r)) q)) (/ (+ (fabs p) (fabs r)) q))

rewrite136.0ms (3.6%)

Memory
-2.3MiB live, 183.5MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062413
082401
1426379
04760366
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
32 → 465
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
(fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(literal -1/2 binary64)
p
(*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))
#s(literal 1/2 binary64)
(+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))
r
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
(fabs.f64 r)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
(neg.f64 q)
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))))
(*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64)))
#s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))))))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))))
(+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r)))
(+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))
(*.f64 #s(literal -1 binary64) r)
#s(literal -1 binary64)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
(*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
(*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))
(/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1 binary64) #s(literal 1 binary64)) p) #s(literal -1/2 binary64))
(*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) p)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) p) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) p))) (*.f64 #s(literal -1/2 binary64) p))
(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) p))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) p (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 p p) p) (pow.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) p)) (*.f64 #s(literal 1/4 binary64) (*.f64 p p)))))
(*.f64 (*.f64 #s(literal -1/2 binary64) p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 p p))) (-.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) p)))
(/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 p p) p)) (pow.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 p p) (fma.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) p) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) p (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 p p) p) (pow.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) p)) (*.f64 #s(literal 1/4 binary64) (*.f64 p p)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 p p) p) (pow.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 p p) p) (pow.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) p)) (*.f64 #s(literal 1/4 binary64) (*.f64 p p))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) p (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) p)) (*.f64 #s(literal 1/4 binary64) (*.f64 p p))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 p p) p) (pow.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))
(neg.f64 (-.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) p)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) r)) r (*.f64 #s(literal -1/2 binary64) p))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 r #s(literal 1/2 binary64)))) (*.f64 r #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) p))
(fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) r) (*.f64 r #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) p))
(fma.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) p))
(fma.f64 #s(literal -1/2 binary64) p (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
(fma.f64 r #s(literal 1/2 binary64) (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) p)))
(fma.f64 p #s(literal -1/2 binary64) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (*.f64 #s(literal -1/2 binary64) p))
(fma.f64 #s(literal 1/2 binary64) r (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) p)))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p p)) (fma.f64 #s(literal -1/2 binary64) p (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) p (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64)))))
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#s(literal -1/2 binary64)
p
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(*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))
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#s(literal 1/2 binary64)
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(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 r))
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(+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) r))
(+.f64 r (+.f64 (fabs.f64 r) (fabs.f64 p)))
r
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#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
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q
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(/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) q) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 (/.f64 #s(literal 1 binary64) q) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (neg.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) q))
(*.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64))
(*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 (/.f64 #s(literal 1 binary64) q) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64))) q)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p))) (neg.f64 q))
(/.f64 (*.f64 (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64)) (neg.f64 q))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) q))
(/.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64)) q)
(/.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (neg.f64 q))
(/.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 q (+.f64 (fabs.f64 r) (fabs.f64 p))))
(/.f64 #s(literal 1 binary64) (/.f64 q (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64))))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64))))
(neg.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (fabs.f64 p) q) #s(literal -1/2 binary64) (*.f64 (/.f64 (fabs.f64 r) q) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 p) q) (*.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 r) q)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 p) q)) (*.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 r) q)))
(+.f64 (*.f64 (/.f64 (fabs.f64 p) q) #s(literal -1/2 binary64)) (*.f64 (/.f64 (fabs.f64 r) q) #s(literal -1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fabs.f64 r) q) (/.f64 (fabs.f64 p) q))) (/.f64 (fabs.f64 p) q))
(*.f64 (/.f64 #s(literal 1 binary64) q) (+.f64 (fabs.f64 r) (fabs.f64 p)))
(*.f64 (+.f64 (fabs.f64 (/.f64 r p)) #s(literal 1 binary64)) (/.f64 (fabs.f64 p) q))
(*.f64 (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p)) (/.f64 #s(literal 1 binary64) (neg.f64 q)))
(*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1 binary64) q))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q))
(pow.f64 (/.f64 q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1 binary64)) q)
(/.f64 (*.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (/.f64 #s(literal 1 binary64) q)) (-.f64 (fabs.f64 p) (fabs.f64 r)))
(/.f64 (*.f64 (fma.f64 (*.f64 p p) (fabs.f64 p) (*.f64 (*.f64 r r) (fabs.f64 r))) (/.f64 #s(literal 1 binary64) q)) (fma.f64 (fabs.f64 r) (-.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 p p)))
(/.f64 (fma.f64 (/.f64 (fabs.f64 p) q) q (fabs.f64 r)) q)
(/.f64 (fma.f64 (fabs.f64 p) q (*.f64 (fabs.f64 r) q)) (*.f64 q q))
(/.f64 (-.f64 (*.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 p) q)) (*.f64 (/.f64 (fabs.f64 r) q) (/.f64 (fabs.f64 r) q))) (-.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q)))
(/.f64 (+.f64 (pow.f64 (/.f64 (fabs.f64 p) q) #s(literal 3 binary64)) (pow.f64 (/.f64 (fabs.f64 r) q) #s(literal 3 binary64))) (fma.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 p) q) (-.f64 (*.f64 (/.f64 (fabs.f64 r) q) (/.f64 (fabs.f64 r) q)) (*.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q)))))
(/.f64 (fma.f64 (fabs.f64 p) q (*.f64 q (fabs.f64 r))) (*.f64 q q))
(/.f64 (*.f64 (*.f64 (+.f64 r p) (-.f64 p r)) #s(literal 1 binary64)) (*.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) q))
(/.f64 (*.f64 (fma.f64 (*.f64 p p) (fabs.f64 p) (*.f64 (*.f64 r r) (fabs.f64 r))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fabs.f64 r) (-.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 p p)) q))
(/.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (*.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) q))
(/.f64 (fma.f64 (*.f64 p p) (fabs.f64 p) (*.f64 (*.f64 r r) (fabs.f64 r))) (*.f64 (fma.f64 (fabs.f64 r) (-.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 p p)) q))
(/.f64 (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p)) (neg.f64 q))
(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 q (+.f64 (fabs.f64 r) (fabs.f64 p)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 q (+.f64 (fabs.f64 r) (fabs.f64 p)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 q (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 q (+.f64 (fabs.f64 r) (fabs.f64 p))))
(neg.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 q (+.f64 (fabs.f64 r) (fabs.f64 p)))))
(neg.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p)) q))
(fma.f64 (fabs.f64 r) (/.f64 #s(literal 1 binary64) q) (/.f64 (fabs.f64 p) q))
(fma.f64 (fabs.f64 p) (/.f64 #s(literal 1 binary64) q) (/.f64 (fabs.f64 r) q))
(-.f64 (/.f64 (fabs.f64 p) q) (neg.f64 (/.f64 (fabs.f64 r) q)))
(-.f64 (/.f64 (fabs.f64 p) q) (/.f64 (neg.f64 (fabs.f64 r)) q))
(+.f64 (/.f64 (fabs.f64 r) q) (/.f64 (fabs.f64 p) q))
(+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q))

eval91.0ms (2.5%)

Memory
12.3MiB live, 196.3MiB allocated; 49ms collecting garbage
Compiler

Compiled 8 160 to 3 188 computations (60.9% saved)

prune52.0ms (1.4%)

Memory
24.7MiB live, 74.9MiB allocated; 26ms collecting garbage
Pruning

26 alts after pruning (22 fresh and 4 done)

PrunedKeptTotal
New58810598
Fresh11213
Picked235
Done011
Total59126617
Accuracy
99.2%
Counts
617 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 p) (fabs.f64 r))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p))))))
50.3%
(*.f64 (+.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 p)) #s(literal 1/2 binary64))
45.1%
#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))))
42.5%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
54.9%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) p))) r)))))
11.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
34.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))))
7.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))))))
8.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
1.9%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
1.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
8.6%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
5.9%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
12.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 (-.f64 q (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)))))
1.2%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
14.5%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
2.9%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r)))))))
8.5%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64))))
1.1%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 (fabs.f64 r) r)))))
6.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) #s(approx (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r)))) (*.f64 r (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 1/2 binary64))))))
10.1%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) (*.f64 q (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
67.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
67.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r))) (+.f64 (fabs.f64 p) r))))))
41.5%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
40.1%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
67.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))))
Compiler

Compiled 1 554 to 1 442 computations (7.2% saved)

series55.0ms (1.5%)

Memory
-14.9MiB live, 77.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07175352
Stop Event
iter-limit
Counts
34 → 139
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r))) (+.f64 (fabs.f64 p) r))))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r))) (+.f64 (fabs.f64 p) r)))))
(fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r))) (+.f64 (fabs.f64 p) r))))
#s(literal -1/2 binary64)
p
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r))) (+.f64 (fabs.f64 p) r)))
#s(literal 1/2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r))) (+.f64 (fabs.f64 p) r))
(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r)))
#s(literal 1 binary64)
(/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r))
(fabs.f64 r)
r
(+.f64 (fabs.f64 p) r)
(fabs.f64 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 #s(literal -1/2 binary64) p)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))
(+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))
(+.f64 (fabs.f64 p) (fabs.f64 r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
(*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))
q
#s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))
(/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))))))
(*.f64 p (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))))
(+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 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) (* -1 r))) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))
(/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.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))))))))
#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 p 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 (fabs.f64 p) (+.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)))))))))
#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 (fabs.f64 p) (+.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 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 #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))))))))))
#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 (fabs.f64 p) (+.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 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 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (+ (* -1/2 p) (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 r (fabs.f64 p)))) (+.f64 r (fabs.f64 p)))))
#s(approx (+ (* -1/2 p) (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 r (fabs.f64 p)))) (+.f64 r (fabs.f64 p))))))
#s(approx p p)
#s(approx (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 r (fabs.f64 p)))) (+.f64 r (fabs.f64 p))))
#s(approx (+ 1 (/ (fabs r) (+ (fabs p) r))) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 r (fabs.f64 p)))))
#s(approx (/ (fabs r) (+ (fabs p) r)) (/.f64 (fabs.f64 r) (+.f64 r (fabs.f64 p))))
#s(approx (+ (fabs p) r) (+.f64 r (fabs.f64 p)))
#s(approx (fabs p) (fabs.f64 p))
#s(approx (* -1/2 p) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (+ r (+ (fabs p) (fabs r))) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))
#s(approx (+ (fabs p) (fabs r)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
#s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.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 (/ (+ (fabs p) (fabs r)) q) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r)))))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))))))
#s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))
#s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (/.f64 (fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))))) p))
#s(approx (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))
#s(approx (/ (+ (fabs p) (fabs r)) p) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (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 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p) (/.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 p (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p) (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 p (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 p) (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)))) (*.f64 p (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 r (fabs.f64 p)))) (+.f64 r (fabs.f64 p))) p)) #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (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 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) 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 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))) 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 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (pow.f64 q #s(literal 2 binary64))) p) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))) p))))))
#s(approx (+ (* -1/2 p) (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 r (fabs.f64 p)))) (+.f64 r (fabs.f64 p))) p))))))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal -1 binary64) (*.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (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 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (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 p 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 (fabs.f64 p) (+.f64 (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 (fabs.f64 p) (+.f64 (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 #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))))))))))
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#s(approx (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)) (*.f64 r (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 r #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (fabs.f64 p) #s(literal 2 binary64)) (fabs.f64 r)) (pow.f64 r #s(literal 3 binary64))) (+.f64 (/.f64 (fabs.f64 p) r) (+.f64 (/.f64 (fabs.f64 r) r) (+.f64 (/.f64 (*.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 r #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (fabs.f64 p) #s(literal 2 binary64)) (fabs.f64 r)) (pow.f64 r #s(literal 3 binary64)))))))))))
#s(approx (+ 1 (/ (fabs r) (+ (fabs p) r))) #s(literal 1 binary64))
#s(approx (+ 1 (/ (fabs r) (+ (fabs p) r))) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) r)))
#s(approx (+ 1 (/ (fabs r) (+ (fabs p) r))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 r #s(literal 2 binary64))) (/.f64 (fabs.f64 r) r))))
#s(approx (+ 1 (/ (fabs r) (+ (fabs p) r))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 r) r) (/.f64 (*.f64 (pow.f64 (fabs.f64 p) #s(literal 2 binary64)) (fabs.f64 r)) (pow.f64 r #s(literal 3 binary64))))) (/.f64 (*.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (/ (fabs r) (+ (fabs p) r)) (/.f64 (fabs.f64 r) r))
#s(approx (/ (fabs r) (+ (fabs p) r)) (/.f64 (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fabs.f64 p) (fabs.f64 r)) r))) r))
#s(approx (/ (fabs r) (+ (fabs p) r)) (/.f64 (-.f64 (+.f64 (fabs.f64 r) (/.f64 (*.f64 (pow.f64 (fabs.f64 p) #s(literal 2 binary64)) (fabs.f64 r)) (pow.f64 r #s(literal 2 binary64)))) (/.f64 (*.f64 (fabs.f64 p) (fabs.f64 r)) r)) r))
#s(approx (/ (fabs r) (+ (fabs p) r)) (/.f64 (-.f64 (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (fabs.f64 r)) (pow.f64 r #s(literal 3 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (fabs.f64 p) #s(literal 2 binary64)) (fabs.f64 r)) (pow.f64 r #s(literal 2 binary64))) (/.f64 (*.f64 (fabs.f64 p) (fabs.f64 r)) r))) r))
#s(approx (+ (fabs p) r) (*.f64 r (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) r))))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 r (-.f64 (/.f64 (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))) r) #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (*.f64 #s(literal -1/2 binary64) (/.f64 r p)))
#s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (*.f64 r (-.f64 (fma.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) r))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
#s(approx (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (*.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 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.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 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r) (*.f64 #s(literal 1/2 binary64) (+.f64 p (+.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 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) r) (pow.f64 q #s(literal 2 binary64))) r) (*.f64 #s(literal 1/2 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))))) r))))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (/.f64 (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))) r) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 p) (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) r)) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 p) (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) p (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (fabs.f64 p) (fabs.f64 r))) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))) r)) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 p) (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)))) (*.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 -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fabs.f64 p) #s(literal 2 binary64)) (fabs.f64 r)) (*.f64 (pow.f64 (fabs.f64 p) #s(literal 2 binary64)) (fabs.f64 r))) r) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (fabs.f64 p) (fabs.f64 r))))) r) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))) r)) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r))) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (fabs.f64 p) (fabs.f64 r))) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) r)) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r))) (*.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 -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fabs.f64 p) #s(literal 2 binary64)) (fabs.f64 r)) (*.f64 (pow.f64 (fabs.f64 p) #s(literal 2 binary64)) (fabs.f64 r))) r) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (fabs.f64 p) (fabs.f64 r))))) r) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) r)) #s(literal 1/2 binary64)))))
#s(approx (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 1 binary64)))))
#s(approx (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (fabs.f64 p) (fabs.f64 r))) r)))) r)) #s(literal 1 binary64)))))
#s(approx (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 p) (fabs.f64 r)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fabs.f64 p) #s(literal 2 binary64)) (fabs.f64 r)) (*.f64 (pow.f64 (fabs.f64 p) #s(literal 2 binary64)) (fabs.f64 r))) r) (*.f64 (fabs.f64 p) (fabs.f64 r)))) r)))) r)) #s(literal 1 binary64)))))
#s(approx (+ 1 (/ (fabs r) (+ (fabs p) r))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 r) (/.f64 (*.f64 (fabs.f64 p) (fabs.f64 r)) r)) r))))
#s(approx (+ 1 (/ (fabs r) (+ (fabs p) r))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 r) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (fabs.f64 p) #s(literal 2 binary64)) (fabs.f64 r)) r) (*.f64 (fabs.f64 p) (fabs.f64 r))) r))) r))))
#s(approx (/ (fabs r) (+ (fabs p) r)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 r) (/.f64 (*.f64 (fabs.f64 p) (fabs.f64 r)) r)) r)))
#s(approx (/ (fabs r) (+ (fabs p) r)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 r) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (fabs.f64 p) #s(literal 2 binary64)) (fabs.f64 r)) r) (*.f64 (fabs.f64 p) (fabs.f64 r))) r))) r)))
#s(approx (/ (fabs r) (+ (fabs p) r)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 r) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (fabs.f64 r)) r) (*.f64 (pow.f64 (fabs.f64 p) #s(literal 2 binary64)) (fabs.f64 r))) r)) (*.f64 (fabs.f64 p) (fabs.f64 r))) r))) r)))
#s(approx (+ (fabs p) r) (*.f64 #s(literal -1 binary64) (*.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 p) r)) #s(literal 1 binary64)))))
#s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal -1 binary64) (*.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))) r))))))
#s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (*.f64 #s(literal -1 binary64) (*.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 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))))))
#s(approx (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (*.f64 #s(literal -1 binary64) (*.f64 r (fma.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 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (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 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
#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 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 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 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 (fabs.f64 p) (+.f64 (fabs.f64 r) (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 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 (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (+.f64 q (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx q q)
#s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (/.f64 (+.f64 q (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (+.f64 #s(literal 1 binary64) (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(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (+.f64 #s(literal 1 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))) (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(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 binary64) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 1 binary64) (*.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(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (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(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.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)))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
p
@0
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (+ (* -1/2 p) (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)))) -1/2 p (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r))) 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)) (+ 1 (/ (fabs r) (+ (fabs p) r))) 1 (/ (fabs r) (+ (fabs p) r)) (fabs r) r (+ (fabs p) r) (fabs p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (* 1/2 (+ r (+ (fabs p) (fabs r)))) (+ r (+ (fabs p) (fabs r))) (+ (fabs p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (/ (+ (fabs p) (fabs r)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (+ (fabs p) (fabs r)) p))
5.0ms
p
@-inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (+ (* -1/2 p) (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)))) -1/2 p (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r))) 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)) (+ 1 (/ (fabs r) (+ (fabs p) r))) 1 (/ (fabs r) (+ (fabs p) r)) (fabs r) r (+ (fabs p) r) (fabs p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (* 1/2 (+ r (+ (fabs p) (fabs r)))) (+ r (+ (fabs p) (fabs r))) (+ (fabs p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (/ (+ (fabs p) (fabs r)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (+ (fabs p) (fabs r)) p))
4.0ms
p
@inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (+ (* -1/2 p) (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)))) -1/2 p (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r))) 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)) (+ 1 (/ (fabs r) (+ (fabs p) r))) 1 (/ (fabs r) (+ (fabs p) r)) (fabs r) r (+ (fabs p) r) (fabs p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (* 1/2 (+ r (+ (fabs p) (fabs r)))) (+ r (+ (fabs p) (fabs r))) (+ (fabs p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (/ (+ (fabs p) (fabs r)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (+ (fabs p) (fabs r)) p))
4.0ms
r
@inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (+ (* -1/2 p) (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)))) -1/2 p (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r))) 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)) (+ 1 (/ (fabs r) (+ (fabs p) r))) 1 (/ (fabs r) (+ (fabs p) r)) (fabs r) r (+ (fabs p) r) (fabs p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (* 1/2 (+ r (+ (fabs p) (fabs r)))) (+ r (+ (fabs p) (fabs r))) (+ (fabs p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (/ (+ (fabs p) (fabs r)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (+ (fabs p) (fabs r)) p))
4.0ms
r
@-inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (+ (* -1/2 p) (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)))) -1/2 p (* 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r))) 1/2 (* (+ 1 (/ (fabs r) (+ (fabs p) r))) (+ (fabs p) r)) (+ 1 (/ (fabs r) (+ (fabs p) r))) 1 (/ (fabs r) (+ (fabs p) r)) (fabs r) r (+ (fabs p) r) (fabs p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (* 1/2 (+ r (+ (fabs p) (fabs r)))) (+ r (+ (fabs p) (fabs r))) (+ (fabs p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)) (/ (+ (fabs p) (fabs r)) q) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (+ (fabs p) (fabs r)) p))

rewrite158.0ms (4.2%)

Memory
16.0MiB live, 154.4MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063540
085497
1451490
05160478
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
34 → 722
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r))) (+.f64 (fabs.f64 p) r))))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r))) (+.f64 (fabs.f64 p) r)))))
(fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r))) (+.f64 (fabs.f64 p) r))))
#s(literal -1/2 binary64)
p
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r))) (+.f64 (fabs.f64 p) r)))
#s(literal 1/2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r))) (+.f64 (fabs.f64 p) r))
(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r)))
#s(literal 1 binary64)
(/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r))
(fabs.f64 r)
r
(+.f64 (fabs.f64 p) r)
(fabs.f64 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 #s(literal -1/2 binary64) p)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))
(+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))
(+.f64 (fabs.f64 p) (fabs.f64 r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
(*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))
q
#s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))
(/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))))))
(*.f64 p (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))))
(+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 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) (* -1 r))) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))
(/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1 binary64) #s(literal 1 binary64)) p) #s(literal -1/2 binary64))
(*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) p)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) p) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) p))) (*.f64 #s(literal -1/2 binary64) p))
(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) p))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) p (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 (pow.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 p p) p))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) p)) (*.f64 #s(literal 1/4 binary64) (*.f64 p p)))))
(*.f64 (*.f64 #s(literal -1/2 binary64) p) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 p p))) (-.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) p)))
(/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 p p) p)) (pow.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 p p) (fma.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) p) (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) p (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 p p) p)))) (neg.f64 (fma.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) p)) (*.f64 #s(literal 1/4 binary64) (*.f64 p p)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 p p) p))) (fma.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))))
(/.f64 (fma.f64 (pow.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 p p) p))) (fma.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) p)) (*.f64 #s(literal 1/4 binary64) (*.f64 p p))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) p (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) p)) (*.f64 #s(literal 1/4 binary64) (*.f64 p p))) (fma.f64 (pow.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 p p) p)))))
(neg.f64 (-.f64 (*.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) p)))
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p
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(/.f64 (fma.f64 (/.f64 (fabs.f64 p) p) p (fabs.f64 r)) p)
(/.f64 (fma.f64 (fabs.f64 p) p (*.f64 (fabs.f64 r) p)) (*.f64 p p))
(/.f64 (-.f64 (*.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 p) p)) (*.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 r) p))) (-.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)))
(/.f64 (+.f64 (pow.f64 (/.f64 (fabs.f64 p) p) #s(literal 3 binary64)) (pow.f64 (/.f64 (fabs.f64 r) p) #s(literal 3 binary64))) (fma.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 p) p) (-.f64 (*.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 r) p)) (*.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)))))
(/.f64 (fma.f64 (fabs.f64 p) p (*.f64 p (fabs.f64 r))) (*.f64 p p))
(/.f64 (*.f64 (*.f64 (+.f64 r p) (-.f64 p r)) #s(literal 1 binary64)) (*.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) p))
(/.f64 (*.f64 (fma.f64 (*.f64 r r) (fabs.f64 r) (*.f64 (*.f64 p p) (fabs.f64 p))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fabs.f64 r) (-.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 p p)) p))
(/.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (*.f64 (-.f64 (fabs.f64 p) (fabs.f64 r)) p))
(/.f64 (fma.f64 (*.f64 r r) (fabs.f64 r) (*.f64 (*.f64 p p) (fabs.f64 p))) (*.f64 (fma.f64 (fabs.f64 r) (-.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 p p)) p))
(/.f64 (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p)) (neg.f64 p))
(/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (neg.f64 (neg.f64 p)))
(/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))))
(neg.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (neg.f64 p)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r)))))
(neg.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p)) p))
(fma.f64 (fabs.f64 p) (/.f64 #s(literal 1 binary64) p) (/.f64 (fabs.f64 r) p))
(fma.f64 (fabs.f64 r) (/.f64 #s(literal 1 binary64) p) (/.f64 (fabs.f64 p) p))
(-.f64 (/.f64 (fabs.f64 p) p) (neg.f64 (/.f64 (fabs.f64 r) p)))
(-.f64 (/.f64 (fabs.f64 p) p) (/.f64 (neg.f64 (fabs.f64 r)) p))
(+.f64 (/.f64 (fabs.f64 r) p) (/.f64 (fabs.f64 p) p))
(+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))

eval105.0ms (2.8%)

Memory
-25.1MiB live, 157.4MiB allocated; 29ms collecting garbage
Compiler

Compiled 13 060 to 4 789 computations (63.3% saved)

prune39.0ms (1.1%)

Memory
24.3MiB live, 70.5MiB allocated; 3ms collecting garbage
Pruning

28 alts after pruning (21 fresh and 7 done)

PrunedKeptTotal
New7696775
Fresh21517
Picked235
Done044
Total77328801
Accuracy
99.2%
Counts
801 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 p) (fabs.f64 r))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p))))))
50.3%
(*.f64 (+.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 p)) #s(literal 1/2 binary64))
45.1%
#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))))
42.5%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
7.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 #s(approx (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) p))
11.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (/.f64 #s(literal 1/2 binary64) (/.f64 q (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
11.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
34.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))))
1.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p #s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (*.f64 #s(literal -1/2 binary64) (/.f64 r p)))))
8.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
1.9%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
1.8%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
8.6%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
5.9%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
12.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 (-.f64 q (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)))))
1.2%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
14.5%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
2.9%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r)))))))
8.5%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64))))
1.1%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 (fabs.f64 r) r)))))
10.1%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) (*.f64 q (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
67.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 (fma.f64 (/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 p) r)))))
67.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
40.3%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (fabs r) (+ (fabs p) r)) (/.f64 (fabs.f64 r) r))) (+.f64 (fabs.f64 p) r))))))
41.5%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
18.3%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (*.f64 (sqrt.f64 p) (sqrt.f64 p)) (fabs.f64 r))))))
40.1%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
67.7%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))))
Compiler

Compiled 1 548 to 1 105 computations (28.6% saved)

regimes99.0ms (2.7%)

Memory
13.4MiB live, 112.2MiB allocated; 47ms collecting garbage
Counts
42 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 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) 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 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p #s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (*.f64 #s(literal -1/2 binary64) (/.f64 r p)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 (-.f64 (fabs.f64 r) (-.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 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+.f64 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)))))) (neg.f64 (-.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 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 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)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (/.f64 #s(literal 1/2 binary64) (/.f64 q (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 (fabs.f64 r) r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (*.f64 (sqrt.f64 p) (sqrt.f64 p)) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q))))) (*.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)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) #s(approx (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 r)))) (*.f64 r (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 1/2 binary64))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 #s(approx (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (*.f64 (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 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)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (fabs r) (+ (fabs p) r)) (/.f64 (fabs.f64 r) r))) (+.f64 (fabs.f64 p) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
#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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.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 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (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 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) p))) r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 (fma.f64 (/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 p) r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) r))) (+.f64 (fabs.f64 p) r))))))
(*.f64 (+.f64 (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 p)) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) r) (/.f64 r p)))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 p) (fabs.f64 r))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r 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 binary64) (*.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
Calls

7 calls:

33.0ms
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
12.0ms
r
11.0ms
q
11.0ms
p
10.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
Results
AccuracySegmentsBranch
82.9%2(pow.f64 q #s(literal 2 binary64))
82.9%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
81.7%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))))))
81.7%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)))))))
75.6%3p
73.9%4r
82.9%2q
Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes20.0ms (0.5%)

Memory
-17.6MiB live, 29.4MiB allocated; 6ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 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) 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 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p #s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (*.f64 #s(literal -1/2 binary64) (/.f64 r p)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 (-.f64 (fabs.f64 r) (-.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 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+.f64 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)))))) (neg.f64 (-.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 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 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)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (/.f64 #s(literal 1/2 binary64) (/.f64 q (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 (fabs.f64 r) r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (*.f64 (sqrt.f64 p) (sqrt.f64 p)) (fabs.f64 r))))))
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+.f64 q (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64))))
Calls

3 calls:

8.0ms
q
5.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
5.0ms
(pow.f64 q #s(literal 2 binary64))
Results
AccuracySegmentsBranch
82.9%2(pow.f64 q #s(literal 2 binary64))
82.9%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
82.9%2q
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes18.0ms (0.5%)

Memory
-18.9MiB live, 27.0MiB allocated; 2ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 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) 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 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p #s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (*.f64 #s(literal -1/2 binary64) (/.f64 r p)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 (-.f64 (fabs.f64 r) (-.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 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+.f64 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)))))) (neg.f64 (-.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 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 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)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) (/.f64 #s(literal 1/2 binary64) (/.f64 q (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 (fabs.f64 r) r)))))
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal -1/2 binary64) (-.f64 p (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p))))))
#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))))
Calls

3 calls:

6.0ms
q
5.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
5.0ms
(pow.f64 q #s(literal 2 binary64))
Results
AccuracySegmentsBranch
82.9%2(pow.f64 q #s(literal 2 binary64))
82.9%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
82.9%2q
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes33.0ms (0.9%)

Memory
4.9MiB live, 50.9MiB allocated; 2ms collecting garbage
Counts
15 → 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) 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 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p #s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (*.f64 #s(literal -1/2 binary64) (/.f64 r p)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 (-.f64 (fabs.f64 r) (-.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 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+.f64 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)))))) (neg.f64 (-.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 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+.f64 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 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
Calls

7 calls:

6.0ms
r
5.0ms
q
4.0ms
p
4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
4.0ms
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
Results
AccuracySegmentsBranch
68.0%3r
70.5%3p
45.1%1(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
45.1%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
61.9%2(pow.f64 q #s(literal 2 binary64))
61.9%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
61.9%2q
Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes22.0ms (0.6%)

Memory
34.3MiB live, 34.3MiB allocated; 0ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 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) 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 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p #s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (*.f64 #s(literal -1/2 binary64) (/.f64 r p)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 (-.f64 (fabs.f64 r) (-.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 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+.f64 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)))))) (neg.f64 (-.f64 q (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)))))
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+.f64 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 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
Calls

5 calls:

4.0ms
q
4.0ms
p
4.0ms
r
4.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
4.0ms
(pow.f64 q #s(literal 2 binary64))
Results
AccuracySegmentsBranch
60.0%2(pow.f64 q #s(literal 2 binary64))
60.0%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
60.0%2q
60.3%2r
53.5%2p
Compiler

Compiled 11 to 21 computations (-90.9% saved)

regimes18.0ms (0.5%)

Memory
-22.4MiB live, 25.3MiB allocated; 6ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 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) 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 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p #s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (*.f64 #s(literal -1/2 binary64) (/.f64 r p)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 (-.f64 (fabs.f64 r) (-.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 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))))
Calls

4 calls:

6.0ms
q
4.0ms
r
3.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
3.0ms
(pow.f64 q #s(literal 2 binary64))
Results
AccuracySegmentsBranch
56.9%2(pow.f64 q #s(literal 2 binary64))
56.9%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
56.9%2q
55.2%2r
Compiler

Compiled 10 to 18 computations (-80% saved)

regimes26.0ms (0.7%)

Memory
-5.3MiB live, 40.6MiB allocated; 2ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 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) 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 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p #s(approx (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))) (*.f64 #s(literal -1/2 binary64) (/.f64 r p)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)))) (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64))))
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))))
Calls

7 calls:

4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
4.0ms
q
3.0ms
p
3.0ms
r
3.0ms
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
Results
AccuracySegmentsBranch
34.7%1(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
34.7%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
34.7%1p
34.7%1r
39.4%2(pow.f64 q #s(literal 2 binary64))
39.4%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
39.4%2q
Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes8.0ms (0.2%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 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) 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 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))))
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q #s(approx (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))) #s(literal 1 binary64))))
Calls

3 calls:

3.0ms
q
2.0ms
(pow.f64 q #s(literal 2 binary64))
2.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
37.2%2(pow.f64 q #s(literal 2 binary64))
37.2%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
37.2%2q
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes17.0ms (0.5%)

Memory
-17.0MiB live, 29.1MiB allocated; 2ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 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) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
Calls

7 calls:

3.0ms
(+.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))))))
2.0ms
q
2.0ms
p
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
2.0ms
r
Results
AccuracySegmentsBranch
8.7%1(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
8.7%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
13.7%2r
13.3%2p
8.7%1(pow.f64 q #s(literal 2 binary64))
8.7%1(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
8.7%1q
Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes14.0ms (0.4%)

Memory
27.0MiB live, 27.0MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 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) p))
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
Calls

7 calls:

2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
2.0ms
r
2.0ms
p
2.0ms
q
2.0ms
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
Results
AccuracySegmentsBranch
8.6%1(pow.f64 q #s(literal 2 binary64))
8.6%1(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
8.6%1q
8.6%1(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
8.6%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
8.6%1p
8.6%1r
Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes10.0ms (0.3%)

Memory
-23.8MiB live, 22.2MiB allocated; 1ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

2.0ms
(pow.f64 q #s(literal 2 binary64))
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
1.0ms
q
1.0ms
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
1.0ms
r
Results
AccuracySegmentsBranch
1.2%1(pow.f64 q #s(literal 2 binary64))
1.2%1(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
1.2%1q
1.2%1(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
1.2%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
1.2%1p
1.2%1r
Compiler

Compiled 47 to 54 computations (-14.9% saved)

bsearch11.0ms (0.3%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
1.6115965360423988e+92
4.241868970626405e+92
Samples
6.0ms80×0valid
Compiler

Compiled 360 to 354 computations (1.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-fabs: 1.0ms (25.2% of total)
ival-sqrt: 1.0ms (25.2% of total)
ival-add!: 1.0ms (25.2% of total)
ival-pow2: 1.0ms (25.2% of total)
ival-mult!: 1.0ms (25.2% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.6115965360423988e+92
4.241868970626405e+92
Compiler

Compiled 350 to 344 computations (1.7% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.6115965360423988e+92
4.241868970626405e+92
Compiler

Compiled 345 to 339 computations (1.7% saved)

bsearch46.0ms (1.2%)

Memory
17.0MiB live, 61.5MiB allocated; 11ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.0729252808320166e-277
2.1295568971576738e-266
23.0ms
-1.1059979775686673e+84
-1.18038990240852e+77
Samples
29.0ms304×0valid
Compiler

Compiled 1 285 to 1 229 computations (4.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-pow2: 5.0ms (33.2% of total)
ival-fabs: 3.0ms (19.9% of total)
ival-sqrt: 2.0ms (13.3% of total)
ival-add!: 2.0ms (13.3% of total)
ival-mult!: 2.0ms (13.3% of total)
ival-sub!: 1.0ms (6.6% of total)
adjust: 0.0ms (0% of total)

bsearch25.0ms (0.7%)

Memory
-15.4MiB live, 29.2MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
4.259469839102578e+21
4.761400664003551e+28
Samples
17.0ms144×0valid
Compiler

Compiled 592 to 582 computations (1.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-pow2: 8.0ms (60.9% of total)
ival-fabs: 1.0ms (7.6% of total)
ival-sqrt: 1.0ms (7.6% of total)
ival-add!: 1.0ms (7.6% of total)
ival-mult!: 1.0ms (7.6% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch7.0ms (0.2%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
6.0ms
1.6115965360423988e+92
4.241868970626405e+92
Samples
3.0ms48×0valid
Compiler

Compiled 360 to 339 computations (5.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-pow2: 1.0ms (42.3% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-fabs: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch20.0ms (0.5%)

Memory
-21.9MiB live, 22.8MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
4.478183959416938e-131
4.403522279283745e-129
Samples
8.0ms112×0valid
Compiler

Compiled 459 to 430 computations (6.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-pow2: 2.0ms (36.4% of total)
ival-fabs: 1.0ms (18.2% of total)
ival-sqrt: 1.0ms (18.2% of total)
ival-add!: 1.0ms (18.2% of total)
ival-mult!: 1.0ms (18.2% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch3.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
4.478183959416938e-131
4.403522279283745e-129
Samples
1.0ms16×0valid
Compiler

Compiled 375 to 367 computations (2.1% saved)

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

bsearch16.0ms (0.4%)

Memory
25.3MiB live, 25.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
2.693382450299005e-78
1.4269352605504056e-73
Samples
9.0ms128×0valid
Compiler

Compiled 361 to 376 computations (-4.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-pow2: 2.0ms (31.8% of total)
ival-fabs: 1.0ms (15.9% of total)
ival-sqrt: 1.0ms (15.9% of total)
ival-add!: 1.0ms (15.9% of total)
ival-mult!: 1.0ms (15.9% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

derivations78.0ms (2.1%)

Memory
-36.6MiB live, 62.3MiB allocated; 19ms collecting garbage
Stop Event
fuel
Compiler

Compiled 209 to 101 computations (51.7% saved)

preprocess229.0ms (6.1%)

Memory
-19.1MiB live, 245.8MiB allocated; 175ms collecting garbage
Remove

(sort p r)

(abs q)

Compiler

Compiled 2 701 to 1 929 computations (28.6% saved)

end0.0ms (0%)

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

Profiling

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