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

start0.0ms (0%)

Memory: 0.4MiB live, 0.5MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

2.3MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample1.5s (9.4%)

Memory

84.3MiB live, 1 859.7MiB allocated; 695ms collecting garbage

Samples

1.1s	8 253×	0	valid
1.0ms	3×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 724.0ms

ival-fabs: 226.0ms (31.2% of total)

ival-pow2: 197.0ms (27.2% of total)

ival-add!: 103.0ms (14.2% of total)

ival-mult!: 84.0ms (11.6% of total)

ival-sqrt: 77.0ms (10.6% of total)

ival-sub!: 36.0ms (5% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

preprocess115.0ms (0.7%)

Memory

-54.4MiB live, 53.8MiB allocated; 82ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	205
1	329	200
2	1459	200
3	7313	200

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.2%	(.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)))))))

Status

Accuracy

Program

▶

45.2%

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

Symmetry

(abs q)

(sort p r)

Compiler

Compiled 40 to 36 computations (10% saved)

series679.0ms (4.3%)

Memory

23.7MiB live, 272.7MiB allocated; 106ms collecting garbage

Counts

18 → 136

Calls

Call 1

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

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

Time	Variable		Point	Expression
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	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)
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)

rewrite3.6s (22.4%)

Memory

-11.0MiB live, 1 280.5MiB allocated; 526ms collecting garbage

Counts

18 → 2 270

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

eval424.0ms (2.7%)

Memory: 40.3MiB live, 361.9MiB allocated; 139ms collecting garbage
Compiler: Compiled 33 127 to 8 930 computations (73% saved)

prune62.0ms (0.4%)

Memory

-24.0MiB live, 75.4MiB allocated; 24ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	2 379	14	2 393
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	2 380	14	2 394

Accuracy

99.6%

Counts

2 394 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.2%	(/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 #s(literal 4 binary64) (.f64 q q))))) #s(literal 2 binary64))
	45.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))))
	34.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
▶	61.3%	#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)))))
▶	42.4%	#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)))))
	8.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	1.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	2.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
	9.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
▶	2.8%	#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))))))
	10.4%	#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))))))
	58.4%	#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 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
▶	1.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))

Compiler

Compiled 680 to 676 computations (0.6% saved)

series497.0ms (3.1%)

Memory

-4.2MiB live, 181.5MiB allocated; 60ms collecting garbage

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

Time	Variable		Point	Expression
12.0ms	r	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r) (+ (fabs p) (+ (fabs r) (* -1 p))) (fabs p) p (+ (fabs r) (* -1 p)) (fabs r) (* -1 p) -1 (* (/ 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) (+ (fabs p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) -1/2 (/ (+ p (+ (fabs p) (fabs r))) r) (+ p (+ (fabs p) (fabs r))))
7.0ms	q	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r) (+ (fabs p) (+ (fabs r) (* -1 p))) (fabs p) p (+ (fabs r) (* -1 p)) (fabs r) (* -1 p) -1 (* (/ 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) (+ (fabs p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) -1/2 (/ (+ p (+ (fabs p) (fabs r))) r) (+ p (+ (fabs p) (fabs r))))
7.0ms	p	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r) (+ (fabs p) (+ (fabs r) (* -1 p))) (fabs p) p (+ (fabs r) (* -1 p)) (fabs r) (* -1 p) -1 (* (/ 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) (+ (fabs p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) -1/2 (/ (+ p (+ (fabs p) (fabs r))) r) (+ p (+ (fabs p) (fabs r))))
4.0ms	p	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r) (+ (fabs p) (+ (fabs r) (* -1 p))) (fabs p) p (+ (fabs r) (* -1 p)) (fabs r) (* -1 p) -1 (* (/ 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) (+ (fabs p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) -1/2 (/ (+ p (+ (fabs p) (fabs r))) r) (+ p (+ (fabs p) (fabs r))))
4.0ms	r	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r) (+ (fabs p) (+ (fabs r) (* -1 p))) (fabs p) p (+ (fabs r) (* -1 p)) (fabs r) (* -1 p) -1 (* (/ 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) (+ (fabs p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))) (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) -1/2 (/ (+ p (+ (fabs p) (fabs r))) r) (+ p (+ (fabs p) (fabs r))))

rewrite1.9s (12.1%)

Memory

13.5MiB live, 1 068.5MiB allocated; 361ms collecting garbage

Counts

34 → 1 163

Calls

Call 1

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

Outputs
#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* q (* q 4)))) (fabs p))) 2) (*.f64 r (fma.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) #s(literal 1 binary64)) (.f64 r #s(literal 1/2 binary64)))
(*.f64 r (fma.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)
(.f64 (.f64 r (+.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) r r))
(.f64 #s(literal 1/2 binary64) (+.f64 r (.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) r)))
(+.f64 (.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) (.f64 r #s(literal 1/2 binary64))) (*.f64 r #s(literal 1/2 binary64)))
(+.f64 (.f64 r #s(literal 1/2 binary64)) (.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) (*.f64 r #s(literal 1/2 binary64))))
(-.f64 (.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) (.f64 r #s(literal 1/2 binary64))) (neg.f64 (*.f64 r #s(literal 1/2 binary64))))
(-.f64 (.f64 r #s(literal 1/2 binary64)) (.f64 (/.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) r) (*.f64 r #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 r (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))))) r) r)
(/.f64 (.f64 r (.f64 #s(literal 1/2 binary64) (+.f64 r (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r)))))) r)
(/.f64 (fma.f64 (.f64 r #s(literal 1/2 binary64)) r (.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) (*.f64 r #s(literal 1/2 binary64)))) r)
(fma.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) (.f64 r #s(literal 1/2 binary64)) (.f64 r #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) (.f64 (/.f64 #s(literal 1 binary64) r) (.f64 r #s(literal 1/2 binary64))) (*.f64 r #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) (.f64 (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) r) r) (*.f64 r #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) r)) (.f64 r #s(literal 1/2 binary64))) (*.f64 r #s(literal 1/2 binary64)))
(fma.f64 (.f64 r (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r)))) (/.f64 (.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) r) (*.f64 r #s(literal 1/2 binary64)))
(fma.f64 (.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) #s(literal 1/2 binary64)) (/.f64 r r) (.f64 r #s(literal 1/2 binary64)))
(fma.f64 (.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) r) r) (*.f64 r #s(literal 1/2 binary64)))
(fma.f64 (.f64 r #s(literal 1/2 binary64)) (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) (.f64 r #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 r #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) r)) (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) (*.f64 r #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r)) r (.f64 r #s(literal 1/2 binary64)))
(fma.f64 (.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) r) #s(literal 1/2 binary64) (.f64 r #s(literal 1/2 binary64)))
(fma.f64 (.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) (.f64 r #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) r) (*.f64 r #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 r #s(literal 1/2 binary64)) (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p))) (neg.f64 (/.f64 #s(literal 1 binary64) r)) (*.f64 r #s(literal 1/2 binary64)))
(fma.f64 r (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r)) (.f64 r #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) r) (.f64 r #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) (.f64 r #s(literal 1/2 binary64))) (*.f64 r #s(literal 1/2 binary64)))
(fma.f64 r #s(literal 1/2 binary64) (.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) (.f64 r #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) r (.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) (.f64 r #s(literal 1/2 binary64))))
(neg.f64 (.f64 (-.f64 (.f64 (/.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
(neg.f64 (.f64 r (-.f64 (.f64 (/.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(neg.f64 (-.f64 (.f64 (/.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) r) (.f64 r #s(literal 1/2 binary64))) (*.f64 r #s(literal 1/2 binary64))))
r
(*.f64 (neg.f64 r) #s(literal -1 binary64))
(*.f64 (neg.f64 #s(literal -1 binary64)) r)
(*.f64 #s(literal -1 binary64) (neg.f64 r))
(*.f64 r (neg.f64 #s(literal -1 binary64)))
(neg.f64 (neg.f64 r))
(*.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (+.f64 r (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))))) (/.f64 #s(literal 1 binary64) r))
(+.f64 (*.f64 (/.f64 (fabs.f64 p) r) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 (fabs.f64 r) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r)) #s(literal 1/2 binary64))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (fabs.f64 p) r) #s(literal 1/2 binary64))) (.f64 (/.f64 (-.f64 (fabs.f64 r) p) r) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 r #s(literal 1/2 binary64)) r) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r)))
(+.f64 (.f64 (/.f64 (fabs.f64 p) r) #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 (-.f64 (fabs.f64 r) p) r) #s(literal 1/2 binary64)) (neg.f64 #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r)) (neg.f64 #s(literal 1/2 binary64)))
(-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (fabs.f64 p) r) (neg.f64 #s(literal 1/2 binary64)))) (.f64 (/.f64 (-.f64 (fabs.f64 r) p) r) (neg.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 r (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))))) r)
(/.f64 (fma.f64 (neg.f64 #s(literal 1/2 binary64)) r (*.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))) (neg.f64 r))
(/.f64 (-.f64 (neg.f64 (.f64 r #s(literal 1/2 binary64))) (.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) #s(literal 1/2 binary64))) (neg.f64 r))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 r (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r)))))) (neg.f64 r))
(fma.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) (/.f64 #s(literal 1/2 binary64) r) #s(literal 1/2 binary64))
(fma.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) r) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) r) (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) r) (neg.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) (neg.f64 r)) #s(literal 1/2 binary64))
(fma.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) r)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) r)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) r) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) r) (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (-.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 p) r) (fma.f64 (/.f64 (-.f64 (fabs.f64 r) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (fabs.f64 p) r) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (fabs.f64 r) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
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(fma.f64 (/.f64 #s(literal 1 binary64) r) (fabs.f64 r) (*.f64 (/.f64 #s(literal 1 binary64) r) (+.f64 (fabs.f64 p) p)))
(fma.f64 (fabs.f64 p) (/.f64 #s(literal 1 binary64) r) (*.f64 (/.f64 #s(literal 1 binary64) r) (+.f64 (fabs.f64 r) p)))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (fabs.f64 p) (*.f64 (/.f64 #s(literal 1 binary64) r) (+.f64 (fabs.f64 r) p)))
(fma.f64 (fabs.f64 p) (/.f64 (fabs.f64 #s(literal -1 binary64)) r) (*.f64 (/.f64 #s(literal 1 binary64) r) (+.f64 (fabs.f64 r) p)))
(fma.f64 (fabs.f64 #s(literal -1 binary64)) (/.f64 (fabs.f64 p) r) (*.f64 (/.f64 #s(literal 1 binary64) r) (+.f64 (fabs.f64 r) p)))
(fma.f64 (fabs.f64 p) (.f64 (fabs.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) r)) (.f64 (/.f64 #s(literal 1 binary64) r) (+.f64 (fabs.f64 r) p)))
(fma.f64 (neg.f64 (fabs.f64 p)) (neg.f64 (/.f64 #s(literal 1 binary64) r)) (*.f64 (/.f64 #s(literal 1 binary64) r) (+.f64 (fabs.f64 r) p)))
(fma.f64 (fabs.f64 p) (/.f64 #s(literal 1 binary64) r) (/.f64 (+.f64 (fabs.f64 r) p) r))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (fabs.f64 p) (/.f64 (+.f64 (fabs.f64 r) p) r))
(fma.f64 (fabs.f64 p) (/.f64 (fabs.f64 #s(literal -1 binary64)) r) (/.f64 (+.f64 (fabs.f64 r) p) r))
(fma.f64 (fabs.f64 #s(literal -1 binary64)) (/.f64 (fabs.f64 p) r) (/.f64 (+.f64 (fabs.f64 r) p) r))
(fma.f64 (fabs.f64 p) (*.f64 (fabs.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) r)) (/.f64 (+.f64 (fabs.f64 r) p) r))
(fma.f64 (neg.f64 (fabs.f64 p)) (neg.f64 (/.f64 #s(literal 1 binary64) r)) (/.f64 (+.f64 (fabs.f64 r) p) r))
(neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (fabs.f64 p)) p) (fabs.f64 r)) r))
(*.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))))
(+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r)))
(+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r))
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
(+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) p))
(+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p))
(+.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) (*.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal 0 binary64)))
(+.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) (*.f64 #s(literal 0 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r)))))
(+.f64 (fabs.f64 p) (neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) p)))
(-.f64 (+.f64 (fabs.f64 r) p) (neg.f64 (fabs.f64 p)))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (neg.f64 p))
(-.f64 (+.f64 (fabs.f64 p) p) (neg.f64 (fabs.f64 r)))
(-.f64 (fabs.f64 p) (-.f64 (neg.f64 (fabs.f64 r)) p))
(-.f64 p (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p)))
(-.f64 (fabs.f64 r) (-.f64 (neg.f64 (fabs.f64 p)) p))
(/.f64 (*.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 #s(literal -1 binary64))) (fabs.f64 p) (+.f64 (fabs.f64 r) p))
(fma.f64 (*.f64 (neg.f64 #s(literal -1 binary64)) (neg.f64 #s(literal -1 binary64))) p (+.f64 (fabs.f64 p) (fabs.f64 r)))
(fma.f64 (*.f64 (neg.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 p) (+.f64 (fabs.f64 p) (fabs.f64 r)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 #s(literal -1 binary64))) (fabs.f64 p) (+.f64 (fabs.f64 r) p))
(fma.f64 (fabs.f64 (fabs.f64 #s(literal -1 binary64))) (fabs.f64 p) (+.f64 (fabs.f64 r) p))
(fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1 binary64) p)
(fma.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)) p)
(fma.f64 p (*.f64 (neg.f64 #s(literal -1 binary64)) (neg.f64 #s(literal -1 binary64))) (+.f64 (fabs.f64 p) (fabs.f64 r)))
(fma.f64 (neg.f64 p) (*.f64 #s(literal -1 binary64) (neg.f64 #s(literal -1 binary64))) (+.f64 (fabs.f64 p) (fabs.f64 r)))
(fma.f64 (fabs.f64 p) (fabs.f64 (fabs.f64 #s(literal -1 binary64))) (+.f64 (fabs.f64 r) p))
(fma.f64 (fabs.f64 p) (*.f64 (fabs.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fabs.f64 r) p))
(fma.f64 (fabs.f64 p) (*.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 #s(literal -1 binary64))) (+.f64 (fabs.f64 r) p))
(fma.f64 (neg.f64 p) #s(literal -1 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))
(fma.f64 (fabs.f64 p) #s(literal 1 binary64) (+.f64 (fabs.f64 r) p))
(fma.f64 (neg.f64 #s(literal -1 binary64)) p (+.f64 (fabs.f64 p) (fabs.f64 r)))
(fma.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) p (+.f64 (fabs.f64 p) (fabs.f64 r)))
(fma.f64 p (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
(fma.f64 #s(literal -1 binary64) (neg.f64 p) (+.f64 (fabs.f64 p) (fabs.f64 r)))
(fma.f64 (fabs.f64 p) (fabs.f64 #s(literal -1 binary64)) (+.f64 (fabs.f64 r) p))
(fma.f64 (fabs.f64 r) (fabs.f64 #s(literal -1 binary64)) (+.f64 (fabs.f64 p) p))
(fma.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 p) (+.f64 (fabs.f64 r) p))
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (+.f64 (fabs.f64 r) p))
(fma.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 r) (+.f64 (fabs.f64 p) p))
(fma.f64 p (neg.f64 #s(literal -1 binary64)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
(fma.f64 #s(literal 1 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) (*.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal 0 binary64)))
(fma.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal 1 binary64) (*.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) (*.f64 #s(literal 0 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r)))))
(fma.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r)))))
(fma.f64 (fabs.f64 p) (fabs.f64 #s(literal -1 binary64)) (neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) p)))
(fma.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 p) (neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) p)))
(fma.f64 (fabs.f64 (fabs.f64 #s(literal -1 binary64))) (fabs.f64 p) (neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) p)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 #s(literal -1 binary64))) (fabs.f64 p) (neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) p)))
(fma.f64 (*.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 #s(literal -1 binary64))) (fabs.f64 p) (neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) p)))
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) p)))
(fma.f64 (fabs.f64 p) (fabs.f64 (fabs.f64 #s(literal -1 binary64))) (neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) p)))
(fma.f64 (fabs.f64 p) (*.f64 (fabs.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) p)))
(fma.f64 (fabs.f64 p) (*.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 #s(literal -1 binary64))) (neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) p)))
(fma.f64 (fabs.f64 p) #s(literal 1 binary64) (neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) p)))
(neg.f64 (-.f64 (-.f64 (neg.f64 (fabs.f64 p)) p) (fabs.f64 r)))
(neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (fabs.f64 p)) p) (fabs.f64 r)) #s(literal 1 binary64)))

eval213.0ms (1.3%)

Memory: 4.6MiB live, 203.2MiB allocated; 68ms collecting garbage
Compiler: Compiled 16 675 to 7 887 computations (52.7% saved)

prune68.0ms (0.4%)

Memory

-7.2MiB live, 49.9MiB allocated; 16ms collecting garbage

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1 483	14	1 497
Fresh	4	5	9
Picked	4	1	5
Done	0	0	0
Total	1 491	20	1 511

Accuracy

99.6%

Counts

1 511 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.2%	(/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 #s(literal 4 binary64) (.f64 q q))))) #s(literal 2 binary64))
	45.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))))
	44.8%	#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* q (* q 4)))) (fabs p))) 2) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q))
▶	1.3%	#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* q (* q 4)))) (fabs p))) 2) (neg.f64 q))
▶	26.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 (*.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) q) q))
	42.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) q) #s(literal 1 binary64)) q))
	39.3%	#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) #s(approx (+ (fabs r) (* -1 p)) (fabs.f64 r))) r)))))
	8.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (+ 1/2 ( 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) (*.f64 #s(literal -1/2 binary64) (/.f64 p r)))))
▶	8.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (+ 1/2 ( 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) #s(literal 1/2 binary64))))
	34.6%	#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 #s(literal 1/2 binary64) p))
	2.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
	9.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
	10.4%	#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))))))
▶	68.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (fma.f64 #s(literal 1/2 binary64) r (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) p)))))))
	41.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) p))))))
	14.4%	#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)))))
	2.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (fma.f64 #s(literal -1/2 binary64) r (*.f64 #s(literal 1/2 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
	2.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) r)) #s(literal 1/2 binary64)))))
▶	8.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (*.f64 #s(literal 1/2 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))))))

Compiler

Compiled 1 135 to 1 083 computations (4.6% saved)

series449.0ms (2.8%)

Memory

-11.7MiB live, 177.7MiB allocated; 28ms collecting garbage

Counts

28 → 91

Calls

Call 1

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

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

Time	Variable		Point	Expression
3.0ms	q	@	0	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (+ (* 1/2 r) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p))))) 1/2 r (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p)))) (+ (fabs p) (+ (fabs r) (* -1 p))) (fabs p) p (+ (fabs r) (* -1 p)) (fabs r) (* -1 p) -1 (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* q (* q 4)))) (fabs p))) 2) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* 1/2 (+ p (+ (fabs p) (fabs r)))) (+ p (+ (fabs p) (fabs r))) (+ (fabs p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (* (+ (* (+ (fabs p) (fabs r)) 1/2) q) q) q) (* (+ (* (+ (fabs p) (fabs r)) 1/2) q) q) (+ (* (+ (fabs p) (fabs r)) 1/2) q))
3.0ms	r	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (+ (* 1/2 r) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p))))) 1/2 r (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p)))) (+ (fabs p) (+ (fabs r) (* -1 p))) (fabs p) p (+ (fabs r) (* -1 p)) (fabs r) (* -1 p) -1 (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* q (* q 4)))) (fabs p))) 2) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* 1/2 (+ p (+ (fabs p) (fabs r)))) (+ p (+ (fabs p) (fabs r))) (+ (fabs p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (* (+ (* (+ (fabs p) (fabs r)) 1/2) q) q) q) (* (+ (* (+ (fabs p) (fabs r)) 1/2) q) q) (+ (* (+ (fabs p) (fabs r)) 1/2) q))
3.0ms	p	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (+ (* 1/2 r) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p))))) 1/2 r (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p)))) (+ (fabs p) (+ (fabs r) (* -1 p))) (fabs p) p (+ (fabs r) (* -1 p)) (fabs r) (* -1 p) -1 (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* q (* q 4)))) (fabs p))) 2) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* 1/2 (+ p (+ (fabs p) (fabs r)))) (+ p (+ (fabs p) (fabs r))) (+ (fabs p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (* (+ (* (+ (fabs p) (fabs r)) 1/2) q) q) q) (* (+ (* (+ (fabs p) (fabs r)) 1/2) q) q) (+ (* (+ (fabs p) (fabs r)) 1/2) q))
3.0ms	p	@	-inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (+ (* 1/2 r) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p))))) 1/2 r (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p)))) (+ (fabs p) (+ (fabs r) (* -1 p))) (fabs p) p (+ (fabs r) (* -1 p)) (fabs r) (* -1 p) -1 (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* q (* q 4)))) (fabs p))) 2) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* 1/2 (+ p (+ (fabs p) (fabs r)))) (+ p (+ (fabs p) (fabs r))) (+ (fabs p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (* (+ (* (+ (fabs p) (fabs r)) 1/2) q) q) q) (* (+ (* (+ (fabs p) (fabs r)) 1/2) q) q) (+ (* (+ (fabs p) (fabs r)) 1/2) q))
3.0ms	r	@	inf	((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (+ (* 1/2 r) (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p))))) 1/2 r (* 1/2 (+ (fabs p) (+ (fabs r) (* -1 p)))) (+ (fabs p) (+ (fabs r) (* -1 p))) (fabs p) p (+ (fabs r) (* -1 p)) (fabs r) (* -1 p) -1 (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* q (* q 4)))) (fabs p))) 2) (neg q) q (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* 1/2 (+ p (+ (fabs p) (fabs r)))) (+ p (+ (fabs p) (fabs r))) (+ (fabs p) (fabs r)) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ (* (+ (* (+ (fabs p) (fabs r)) 1/2) q) q) q) (* (+ (* (+ (fabs p) (fabs r)) 1/2) q) q) (+ (* (+ (fabs p) (fabs r)) 1/2) q))

rewrite2.0s (12.9%)

Memory

-14.2MiB live, 604.3MiB allocated; 154ms collecting garbage

Counts

28 → 747

Calls

Call 1

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

Outputs
#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) #s(approx (/ (* (* 1/2 (+ (+ (fabs p) (fabs r)) (- r p))) r) r) (*.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p (fabs.f64 r)) r)) #s(literal 1/2 binary64))))
#s(approx (/ (* (* 1/2 (+ (+ (fabs p) (fabs r)) (- r p))) r) r) (*.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p (fabs.f64 r)) r)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p (fabs.f64 r)) r)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (-.f64 (-.f64 p (fabs.f64 r)) r)))
(+.f64 (.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64)) (-.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (neg.f64 (*.f64 r #s(literal 1/2 binary64)))))
(+.f64 (.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) r)))
(+.f64 (.f64 (+.f64 (fabs.f64 p) r) #s(literal 1/2 binary64)) (.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64)))
(+.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) (-.f64 (neg.f64 (.f64 p #s(literal 1/2 binary64))) (neg.f64 (*.f64 r #s(literal 1/2 binary64)))))
(+.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 p) #s(literal 1/2 binary64) (.f64 r #s(literal 1/2 binary64))))
(+.f64 (.f64 (-.f64 r (-.f64 p (fabs.f64 r))) #s(literal 1/2 binary64)) (.f64 (fabs.f64 p) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 r (-.f64 p (fabs.f64 r)))) (.f64 (fabs.f64 p) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) r) (neg.f64 (.f64 p #s(literal 1/2 binary64)))) (.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) r) (.f64 (fabs.f64 r) #s(literal 1/2 binary64))) (neg.f64 (.f64 p #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r)))) (.f64 r #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r)))) (neg.f64 (neg.f64 (.f64 r #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) r)) (.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64)))
(+.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 r (-.f64 p (fabs.f64 r)))))
(+.f64 (.f64 r #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r)))))
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(fma.f64 q (/.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) q) (*.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) #s(literal 0 binary64)))
(fma.f64 (neg.f64 q) (.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) (neg.f64 (/.f64 #s(literal 1 binary64) q))) (.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q)))
(fma.f64 (neg.f64 q) (.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) (neg.f64 (/.f64 #s(literal 1 binary64) q))) (.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) q)) (.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) (neg.f64 q)) (.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) q)) (.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) (neg.f64 q)) (.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) #s(literal 0 binary64)))
(fma.f64 q (.f64 (neg.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q)) (neg.f64 (/.f64 #s(literal 1 binary64) q))) (.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q)))
(fma.f64 q (.f64 (neg.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q)) (neg.f64 (/.f64 #s(literal 1 binary64) q))) (.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) #s(literal 0 binary64)))
(fma.f64 (neg.f64 q) (/.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) (neg.f64 q)) (*.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q)))
(fma.f64 (neg.f64 q) (/.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) (neg.f64 q)) (*.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) #s(literal 0 binary64)))
(fma.f64 q #s(literal 1 binary64) (.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 q q) (/.f64 #s(literal 1 binary64) q) (.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal 1/2 binary64) q)) (/.f64 #s(literal 1 binary64) q)))
(fma.f64 (.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) q) (/.f64 #s(literal 1 binary64) q) (.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) q) (.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) q) (.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q)) (neg.f64 #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) (*.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) q (.f64 #s(literal 1 binary64) (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) q) (.f64 q q) (.f64 (/.f64 #s(literal 1 binary64) q) (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal 1/2 binary64) q))))
(fma.f64 (.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) q) (/.f64 #s(literal 1 binary64) q) (.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q)))
(fma.f64 (/.f64 #s(literal 1 binary64) q) (.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) q) (.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q)))
(fma.f64 (neg.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q)) (neg.f64 #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) (*.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q)))
(fma.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q)))
(neg.f64 (neg.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q))))

eval201.0ms (1.3%)

Memory: 38.3MiB live, 127.8MiB allocated; 14ms collecting garbage
Compiler: Compiled 10 192 to 4 400 computations (56.8% saved)

prune73.0ms (0.5%)

Memory

4.2MiB live, 53.4MiB allocated; 19ms collecting garbage

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	960	5	965
Fresh	2	12	14
Picked	2	3	5
Done	0	1	1
Total	964	21	985

Accuracy

99.6%

Counts

985 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.2%	(/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 #s(literal 4 binary64) (.f64 q q))))) #s(literal 2 binary64))
	45.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))))
	44.8%	#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q))
▶	68.6%	#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) #s(approx (/ (* (* 1/2 (+ (+ (fabs p) (fabs r)) (- r p))) r) r) (*.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p (fabs.f64 r)) r)) #s(literal 1/2 binary64))))
✓	1.3%	#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* q (* q 4)))) (fabs p))) 2) (neg.f64 q))
	12.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/.f64 #s(approx (* (+ (* (+ (fabs p) (fabs r)) 1/2) q) q) (.f64 #s(literal 1/2 binary64) (.f64 q (+.f64 (fabs.f64 p) (fabs.f64 r))))) q))
	42.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) q) #s(literal 1 binary64)) q))
▶	8.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (+ 1/2 ( 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) (*.f64 #s(literal -1/2 binary64) (/.f64 p r)))))
✓	8.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (+ 1/2 ( 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) #s(literal 1/2 binary64))))
	34.6%	#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 #s(literal 1/2 binary64) p))
	2.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	9.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
	10.4%	#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))))))
	40.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (fma.f64 #s(literal 1/2 binary64) r (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) #s(approx (+ (fabs r) ( -1 p)) (fabs.f64 r)))))))
	41.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) p))))))
	14.4%	#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)))))
	2.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (fma.f64 #s(literal -1/2 binary64) r (*.f64 #s(literal 1/2 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
▶	2.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) r)) #s(literal 1/2 binary64)))))
▶	6.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (.f64 #s(literal 1/2 binary64) (+.f64 p (+.f64 (fabs.f64 p) (sqrt.f64 (.f64 r r)))))))
✓	8.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (*.f64 #s(literal 1/2 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))))))

Compiler

Compiled 1 147 to 1 080 computations (5.8% saved)

series647.0ms (4.1%)

Memory

-14.9MiB live, 212.9MiB allocated; 40ms collecting garbage

Counts

34 → 138

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	p	@	0	((/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) (/ (* (* 1/2 (+ (+ (fabs p) (fabs r)) (- r p))) r) r) (* (- (fabs p) (- (- p (fabs r)) r)) 1/2) (- (fabs p) (- (- p (fabs r)) r)) (fabs p) p (- (- p (fabs r)) r) (- p (fabs r)) (fabs r) r 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) (* -1/2 (/ p r)) (/ p r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* 1/2 (+ p (+ (fabs p) (sqrt (* r r))))) (+ p (+ (fabs p) (sqrt (* r r)))) (+ (fabs p) (sqrt (* r r))) (sqrt (* r r)) (* r r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) (/ (+ p (+ (fabs p) (fabs r))) r) (+ p (+ (fabs p) (fabs r))) (+ (fabs p) (fabs r)))
8.0ms	p	@	inf	((/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) (/ (* (* 1/2 (+ (+ (fabs p) (fabs r)) (- r p))) r) r) (* (- (fabs p) (- (- p (fabs r)) r)) 1/2) (- (fabs p) (- (- p (fabs r)) r)) (fabs p) p (- (- p (fabs r)) r) (- p (fabs r)) (fabs r) r 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) (* -1/2 (/ p r)) (/ p r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* 1/2 (+ p (+ (fabs p) (sqrt (* r r))))) (+ p (+ (fabs p) (sqrt (* r r)))) (+ (fabs p) (sqrt (* r r))) (sqrt (* r r)) (* r r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) (/ (+ p (+ (fabs p) (fabs r))) r) (+ p (+ (fabs p) (fabs r))) (+ (fabs p) (fabs r)))
4.0ms	r	@	-inf	((/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) (/ (* (* 1/2 (+ (+ (fabs p) (fabs r)) (- r p))) r) r) (* (- (fabs p) (- (- p (fabs r)) r)) 1/2) (- (fabs p) (- (- p (fabs r)) r)) (fabs p) p (- (- p (fabs r)) r) (- p (fabs r)) (fabs r) r 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) (* -1/2 (/ p r)) (/ p r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* 1/2 (+ p (+ (fabs p) (sqrt (* r r))))) (+ p (+ (fabs p) (sqrt (* r r)))) (+ (fabs p) (sqrt (* r r))) (sqrt (* r r)) (* r r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) (/ (+ p (+ (fabs p) (fabs r))) r) (+ p (+ (fabs p) (fabs r))) (+ (fabs p) (fabs r)))
4.0ms	p	@	-inf	((/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) (/ (* (* 1/2 (+ (+ (fabs p) (fabs r)) (- r p))) r) r) (* (- (fabs p) (- (- p (fabs r)) r)) 1/2) (- (fabs p) (- (- p (fabs r)) r)) (fabs p) p (- (- p (fabs r)) r) (- p (fabs r)) (fabs r) r 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) (* -1/2 (/ p r)) (/ p r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* 1/2 (+ p (+ (fabs p) (sqrt (* r r))))) (+ p (+ (fabs p) (sqrt (* r r)))) (+ (fabs p) (sqrt (* r r))) (sqrt (* r r)) (* r r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) (/ (+ p (+ (fabs p) (fabs r))) r) (+ p (+ (fabs p) (fabs r))) (+ (fabs p) (fabs r)))
4.0ms	r	@	inf	((/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) (/ (* (* 1/2 (+ (+ (fabs p) (fabs r)) (- r p))) r) r) (* (- (fabs p) (- (- p (fabs r)) r)) 1/2) (- (fabs p) (- (- p (fabs r)) r)) (fabs p) p (- (- p (fabs r)) r) (- p (fabs r)) (fabs r) r 1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 p) -1/2 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)))) (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) (* -1/2 (/ p r)) (/ p r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* 1/2 (+ p (+ (fabs p) (sqrt (* r r))))) (+ p (+ (fabs p) (sqrt (* r r)))) (+ (fabs p) (sqrt (* r r))) (sqrt (* r r)) (* r r) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) (/ (+ p (+ (fabs p) (fabs r))) r) (+ p (+ (fabs p) (fabs r))) (+ (fabs p) (fabs r)))

rewrite2.3s (14.6%)

Memory

27.0MiB live, 731.9MiB allocated; 216ms collecting garbage

Counts

34 → 1 433

Calls

Call 1

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

Outputs
#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) #s(approx (* 1/2 (+ (+ (- r p) (fabs r)) (fabs p))) (*.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ (+ (- r p) (fabs r)) (fabs p))) (*.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))) #s(literal 1/2 binary64))
(*.f64 (-.f64 (-.f64 (-.f64 p r) (fabs.f64 r)) (fabs.f64 p)) (neg.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 (-.f64 (-.f64 p r) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (neg.f64 #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))) (*.f64 r #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) r))
(.f64 (.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))) r) (.f64 r #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))) r) (/.f64 #s(literal 1/2 binary64) r))
(*.f64 (neg.f64 #s(literal 1/2 binary64)) (-.f64 (-.f64 (-.f64 p r) (fabs.f64 r)) (fabs.f64 p)))
(*.f64 (/.f64 (neg.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) r) (*.f64 r #s(literal 1/2 binary64))) (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))))
(.f64 (.f64 r #s(literal 1/2 binary64)) (/.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))) r))
(.f64 (neg.f64 #s(literal 1 binary64)) (.f64 (-.f64 (-.f64 (-.f64 p r) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) r) (.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))) (*.f64 r #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) r) (.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))) r))
(.f64 (.f64 (-.f64 (-.f64 (-.f64 p r) (fabs.f64 r)) (fabs.f64 p)) (*.f64 r #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) r)))
(*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)
(*.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 r) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (-.f64 (-.f64 p r) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) r) (/.f64 r #s(literal -1 binary64)))
(.f64 (neg.f64 (/.f64 #s(literal 1 binary64) r)) (.f64 (-.f64 (-.f64 (-.f64 p r) (fabs.f64 r)) (fabs.f64 p)) (*.f64 r #s(literal 1/2 binary64))))
(*.f64 r (fma.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (fma.f64 (/.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 r #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))) (/.f64 #s(literal 1 binary64) r)))
(.f64 r (.f64 (*.f64 (-.f64 (-.f64 (-.f64 p r) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) r))))
(.f64 (neg.f64 r) (.f64 (*.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) r))))
(.f64 (neg.f64 #s(literal 1/2 binary64)) (.f64 (*.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))) r) (neg.f64 (/.f64 #s(literal 1 binary64) r))))
(.f64 (neg.f64 r) (/.f64 (.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))) #s(literal 1/2 binary64)) (neg.f64 r)))
(.f64 (/.f64 (neg.f64 #s(literal 1/2 binary64)) r) (/.f64 (.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))) r) #s(literal -1 binary64)))
(.f64 (neg.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p r) (fabs.f64 r))) r) (neg.f64 r)))
(.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 (-.f64 (-.f64 p r) (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64)) r))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (-.f64 (-.f64 (-.f64 p r) (fabs.f64 r)) (fabs.f64 p)) r) (neg.f64 (/.f64 #s(literal 1 binary64) r))))
(.f64 (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 (-.f64 (-.f64 p r) (fabs.f64 r)) (fabs.f64 p)) r) r))
(.f64 (/.f64 #s(literal 1/2 binary64) r) (/.f64 (.f64 (-.f64 (-.f64 (-.f64 p r) (fabs.f64 r)) (fabs.f64 p)) r) #s(literal -1 binary64)))
(+.f64 (.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 p) #s(literal 1/2 binary64) (.f64 r #s(literal 1/2 binary64))))
(+.f64 (.f64 (-.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)) (.f64 (+.f64 (fabs.f64 r) r) #s(literal 1/2 binary64)))
(+.f64 (.f64 (-.f64 (fabs.f64 p) (-.f64 p r)) #s(literal 1/2 binary64)) (.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(+.f64 (.f64 (-.f64 (fabs.f64 r) (-.f64 p r)) #s(literal 1/2 binary64)) (.f64 (fabs.f64 p) #s(literal 1/2 binary64)))
(+.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) (.f64 (-.f64 r p) #s(literal 1/2 binary64)))
(+.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) (/.f64 (.f64 (*.f64 r #s(literal 1/2 binary64)) (-.f64 r p)) r))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) p)) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) r)))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (-.f64 p r))) (.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (-.f64 r p) #s(literal 1/2 binary64) (.f64 (fabs.f64 p) #s(literal 1/2 binary64))) (.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 r #s(literal 1/2 binary64) (.f64 (fabs.f64 p) #s(literal 1/2 binary64))) (.f64 (-.f64 (fabs.f64 r) p) #s(literal 1/2 binary64)))
(+.f64 (.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) #s(literal 1/2 binary64)) (.f64 r #s(literal 1/2 binary64)))
(+.f64 (.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) #s(literal 1/2 binary64)) (.f64 (*.f64 r #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) (.f64 r #s(literal 1/2 binary64))) (neg.f64 (.f64 p #s(literal 1/2 binary64))))
(+.f64 (.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (.f64 (-.f64 (fabs.f64 p) (-.f64 p r)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (.f64 (-.f64 (fabs.f64 r) (-.f64 p r)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (-.f64 r p) #s(literal 1/2 binary64)) (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (-.f64 p r))))
(+.f64 (.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 p) #s(literal 1/2 binary64) (.f64 (-.f64 r p) #s(literal 1/2 binary64))))
(+.f64 (.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (-.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (*.f64 (-.f64 p r) #s(literal 1/2 binary64))))
(+.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (-.f64 (.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (*.f64 (-.f64 p r) #s(literal 1/2 binary64))))
(+.f64 (.f64 r #s(literal 1/2 binary64)) (.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 r #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) r)) (.f64 (.f64 (.f64 r #s(literal 1/2 binary64)) (-.f64 r p)) (/.f64 #s(literal 1 binary64) r)))
(+.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) r) (fabs.f64 r)) #s(literal 1/2 binary64)) (neg.f64 (.f64 p #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 r p) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) r) (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 r #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) r) (.f64 (.f64 r #s(literal 1/2 binary64)) (-.f64 r p))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) r) (fabs.f64 r))) (neg.f64 (.f64 p #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (-.f64 r p) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 (fabs.f64 p) (-.f64 p (fabs.f64 r))) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 r #s(literal 1/2 binary64))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) r (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64))) (neg.f64 (.f64 p #s(literal 1/2 binary64))))
(+.f64 (/.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 r #s(literal 1/2 binary64))) r) (/.f64 (.f64 (.f64 r #s(literal 1/2 binary64)) (-.f64 r p)) r))
(+.f64 (.f64 (.f64 (-.f64 r p) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
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(fma.f64 (*.f64 (fabs.f64 p) r) (/.f64 #s(literal 1 binary64) r) (neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) p)))
(fma.f64 (fabs.f64 p) #s(literal 1 binary64) (neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) p)))
(neg.f64 (-.f64 (-.f64 (neg.f64 (fabs.f64 r)) p) (fabs.f64 p)))
(neg.f64 (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (fabs.f64 r)) p) (fabs.f64 p)) r) r))
(neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (fabs.f64 r)) p) (fabs.f64 p)) #s(literal 1 binary64)))
(neg.f64 (*.f64 r (/.f64 (-.f64 (-.f64 (neg.f64 (fabs.f64 r)) p) (fabs.f64 p)) r)))
(*.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))
(*.f64 r (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))
(.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal 1 binary64) r))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(+.f64 (*.f64 (fabs.f64 r) #s(literal 1 binary64)) (fabs.f64 p))
(+.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 r)) (fabs.f64 p))
(+.f64 (fabs.f64 p) (*.f64 (fabs.f64 r) #s(literal 1 binary64)))
(+.f64 (fabs.f64 p) (*.f64 #s(literal 1 binary64) (fabs.f64 r)))
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 0 binary64)))
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal 0 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))
(-.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r)))
(-.f64 (fabs.f64 r) (neg.f64 (fabs.f64 p)))
(/.f64 (*.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) r)
(/.f64 (*.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (neg.f64 r)) (neg.f64 r))
(/.f64 (*.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))) #s(literal 2 binary64))
(fma.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 p) (fabs.f64 r))
(fma.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 r) (fabs.f64 p))
(fma.f64 (fabs.f64 p) (fabs.f64 #s(literal -1 binary64)) (fabs.f64 r))
(fma.f64 (fabs.f64 p) #s(literal 1 binary64) (fabs.f64 r))
(fma.f64 (fabs.f64 r) (fabs.f64 #s(literal -1 binary64)) (fabs.f64 p))
(fma.f64 (fabs.f64 r) #s(literal 1 binary64) (fabs.f64 p))
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (fabs.f64 r))
(fma.f64 #s(literal 1 binary64) (fabs.f64 r) (fabs.f64 p))
(fma.f64 (/.f64 (fabs.f64 p) r) r (fabs.f64 r))
(fma.f64 (/.f64 (fabs.f64 p) r) r (*.f64 (fabs.f64 r) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fabs.f64 p) r) r (*.f64 #s(literal 1 binary64) (fabs.f64 r)))
(fma.f64 (fabs.f64 (fabs.f64 #s(literal -1 binary64))) (fabs.f64 p) (fabs.f64 r))
(fma.f64 (fabs.f64 (fabs.f64 #s(literal -1 binary64))) (fabs.f64 p) (*.f64 (fabs.f64 r) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 #s(literal -1 binary64))) (fabs.f64 p) (*.f64 #s(literal 1 binary64) (fabs.f64 r)))
(fma.f64 (*.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 #s(literal -1 binary64))) (fabs.f64 p) (fabs.f64 r))
(fma.f64 (.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 #s(literal -1 binary64))) (fabs.f64 p) (.f64 (fabs.f64 r) #s(literal 1 binary64)))
(fma.f64 (.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 #s(literal -1 binary64))) (fabs.f64 p) (.f64 #s(literal 1 binary64) (fabs.f64 r)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 #s(literal -1 binary64))) (fabs.f64 p) (fabs.f64 r))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 #s(literal -1 binary64))) (fabs.f64 p) (.f64 (fabs.f64 r) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 #s(literal -1 binary64))) (fabs.f64 p) (.f64 #s(literal 1 binary64) (fabs.f64 r)))
(fma.f64 (*.f64 (fabs.f64 p) r) (/.f64 #s(literal 1 binary64) r) (fabs.f64 r))
(fma.f64 (.f64 (fabs.f64 p) r) (/.f64 #s(literal 1 binary64) r) (.f64 (fabs.f64 r) #s(literal 1 binary64)))
(fma.f64 (.f64 (fabs.f64 p) r) (/.f64 #s(literal 1 binary64) r) (.f64 #s(literal 1 binary64) (fabs.f64 r)))
(fma.f64 r (/.f64 (fabs.f64 p) r) (fabs.f64 r))
(fma.f64 r (/.f64 (fabs.f64 p) r) (*.f64 (fabs.f64 r) #s(literal 1 binary64)))
(fma.f64 r (/.f64 (fabs.f64 p) r) (*.f64 #s(literal 1 binary64) (fabs.f64 r)))
(fma.f64 (fabs.f64 p) (fabs.f64 (fabs.f64 #s(literal -1 binary64))) (fabs.f64 r))
(fma.f64 (fabs.f64 p) (fabs.f64 (fabs.f64 #s(literal -1 binary64))) (*.f64 (fabs.f64 r) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 p) (fabs.f64 (fabs.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (fabs.f64 r)))
(fma.f64 (fabs.f64 p) (*.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 #s(literal -1 binary64))) (fabs.f64 r))
(fma.f64 (fabs.f64 p) (.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 #s(literal -1 binary64))) (.f64 (fabs.f64 r) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 p) (.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (fabs.f64 r)))
(fma.f64 (fabs.f64 p) (*.f64 (fabs.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (fabs.f64 r))
(fma.f64 (fabs.f64 p) (.f64 (fabs.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fabs.f64 r) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 p) (.f64 (fabs.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fabs.f64 r)))
(fma.f64 (fabs.f64 p) #s(literal 1 binary64) (*.f64 (fabs.f64 r) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 p) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fabs.f64 r)))
(fma.f64 (fabs.f64 p) (fabs.f64 #s(literal -1 binary64)) (*.f64 (fabs.f64 r) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 p) (fabs.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fabs.f64 r)))
(fma.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 p) (*.f64 (fabs.f64 r) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 p) (*.f64 #s(literal 1 binary64) (fabs.f64 r)))
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (*.f64 (fabs.f64 r) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (*.f64 #s(literal 1 binary64) (fabs.f64 r)))
(fma.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal 1 binary64) r) (.f64 #s(literal 0 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))
(fma.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 #s(literal 1 binary64) r) (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 0 binary64)))
(fma.f64 r (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (*.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 0 binary64)))
(fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1 binary64) (*.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 0 binary64)))
(fma.f64 r (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (*.f64 #s(literal 0 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))
(fma.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal 0 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))
(fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))
(neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p)))
(neg.f64 (*.f64 (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p))))

eval364.0ms (2.3%)

Memory: -34.3MiB live, 176.0MiB allocated; 133ms collecting garbage
Compiler: Compiled 20 325 to 9 196 computations (54.8% saved)

prune132.0ms (0.8%)

Memory

11.0MiB live, 58.9MiB allocated; 4ms collecting garbage

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	1 793	8	1 801
Fresh	5	7	12
Picked	1	4	5
Done	0	4	4
Total	1 799	23	1 822

Accuracy

99.6%

Counts

1 822 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.2%	(/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 #s(literal 4 binary64) (.f64 q q))))) #s(literal 2 binary64))
	45.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))))
	44.8%	#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64) q))
	10.4%	#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 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))))))
✓	68.6%	#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) #s(approx (/ (* (* 1/2 (+ (+ (fabs p) (fabs r)) (- r p))) r) r) (*.f64 (-.f64 (fabs.f64 p) (-.f64 (-.f64 p (fabs.f64 r)) r)) #s(literal 1/2 binary64))))
	41.7%	#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) #s(approx (/ (* (* 1/2 (+ (+ (fabs p) (fabs r)) (- r p))) r) r) (*.f64 #s(approx (- (fabs p) (- (- p (fabs r)) r)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)) #s(literal 1/2 binary64))))
	40.2%	#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) #s(approx (/ (* (* 1/2 (+ (+ (fabs p) (fabs r)) (- r p))) r) r) (*.f64 #s(approx (- (fabs p) (- (- p (fabs r)) r)) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))) #s(literal 1/2 binary64))))
	2.8%	#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) #s(approx (- (neg (* 1/2 r)) (* -1/2 (+ p (+ (fabs p) (fabs r))))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 r (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))))))))
	34.6%	#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) q)
✓	1.3%	#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* q (* q 4)))) (fabs p))) 2) (neg.f64 q))
	42.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) q) #s(literal 1 binary64)) q))
	8.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (+ 1/2 ( 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) (*.f64 (/.f64 #s(literal -1/2 binary64) r) p))))
✓	8.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (+ 1/2 ( 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) (*.f64 #s(literal -1/2 binary64) (/.f64 p r)))))
✓	8.4%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (+ 1/2 ( 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))) #s(literal 1/2 binary64))))
✓	1.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	2.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	9.0%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
	14.4%	#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)))))
	2.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (fma.f64 #s(literal -1/2 binary64) r (*.f64 #s(literal 1/2 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
✓	6.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (.f64 #s(literal 1/2 binary64) (+.f64 p (+.f64 (fabs.f64 p) (sqrt.f64 (.f64 r r)))))))
✓	8.2%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (*.f64 #s(literal 1/2 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))))))
	8.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (.f64 #s(literal 1/2 binary64) (+.f64 p #s(approx (+ (fabs p) (sqrt ( r r))) (+.f64 r (fabs.f64 p)))))))
	2.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r))))) (.f64 #s(literal 1/2 binary64) #s(approx (+ p (+ (fabs p) (sqrt ( r r)))) (+.f64 p (fabs.f64 p))))))

Compiler

Compiled 1 327 to 910 computations (31.4% saved)

regimes94.0ms (0.6%)

Memory

-6.4MiB live, 40.4MiB allocated; 5ms collecting garbage

Counts

42 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

18.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
13.0ms	r
12.0ms	p
12.0ms	q
12.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Results

Accuracy	Segments	Branch
82.7%	2	`(pow.f64 q #s(literal 2 binary64))`
82.7%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
81.1%	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))))))`
81.1%	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)))))))`
75.2%	3	`p`
76.5%	3	`r`
82.7%	2	`q`

Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes26.0ms (0.2%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

9.0ms	q
8.0ms	(pow.f64 q #s(literal 2 binary64))
8.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
82.7%	2	`(pow.f64 q #s(literal 2 binary64))`
82.7%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
82.7%	2	`q`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes46.0ms (0.3%)

Memory

-23.4MiB live, 23.6MiB allocated; 2ms collecting garbage

Counts

21 → 3

Calls

Call 1

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

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

Outputs

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
70.1%	3	`p`
69.9%	3	`r`
44.8%	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))))))`
44.8%	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)))))))`
60.1%	2	`(pow.f64 q #s(literal 2 binary64))`
60.1%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
60.1%	2	`q`

Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes13.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

19 → 2

Calls

Call 1

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

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

Outputs

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

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

Calls

2 calls:

6.0ms	p
6.0ms	r

Results

Accuracy	Segments	Branch
53.5%	3	`r`
61.8%	2	`p`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes25.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	q
5.0ms	p
5.0ms	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

Accuracy	Segments	Branch
44.8%	1	`r`
44.8%	1	`(pow.f64 q #s(literal 2 binary64))`
44.8%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
44.8%	1	`q`
44.8%	1	`p`

Compiler

Compiled 11 to 21 computations (-90.9% saved)

regimes32.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

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 (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) q)

Calls

7 calls:

5.0ms	r
4.0ms	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

Accuracy	Segments	Branch
34.6%	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))))))`
34.6%	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)))))))`
37.2%	2	`p`
37.0%	2	`r`
38.1%	2	`(pow.f64 q #s(literal 2 binary64))`
38.1%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
38.1%	2	`q`

Compiler

Compiled 47 to 54 computations (-14.9% saved)

regimes20.0ms (0.1%)

Memory

-41.6MiB live, 11.1MiB allocated; 7ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) q)

Calls

5 calls:

6.0ms	(pow.f64 q #s(literal 2 binary64))
3.0ms	p
3.0ms	r
3.0ms	q
3.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
36.8%	2	`r`
36.9%	2	`p`
34.6%	1	`(pow.f64 q #s(literal 2 binary64))`
34.6%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
36.4%	2	`q`

Compiler

Compiled 11 to 21 computations (-90.9% saved)

regimes11.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Accuracy

Total -21.4b remaining (-51.1%)

Threshold costs -21.4b (-51.1%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) q)

#s(approx (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* q (* q 4)))) (fabs p))) 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 (/ (+ (fabs r) (+ (sqrt (+ (pow (- p r) 2) (* (* q q) 4))) (fabs p))) 2) q)

Calls

5 calls:

3.0ms	r
2.0ms	q
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	(+.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	p

Results

Accuracy	Segments	Branch
34.6%	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))))))`
34.6%	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)))))))`
34.6%	1	`q`
34.6%	1	`r`
34.6%	1	`p`

Compiler

Compiled 39 to 42 computations (-7.7% saved)

bsearch15.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.4718465642752298e+128	1.0365688818389615e+129

Samples

8.0ms

96×

valid

Compiler

Compiled 397 to 396 computations (0.3% saved)

Precisions

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

ival-pow2: 2.0ms (35.9% of total)

ival-fabs: 1.0ms (18% of total)

ival-sqrt: 1.0ms (18% of total)

ival-add!: 1.0ms (18% of total)

ival-mult!: 1.0ms (18% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4718465642752298e+128	1.0365688818389615e+129

Compiler

Compiled 361 to 360 computations (0.3% saved)

bsearch41.0ms (0.3%)

Memory

-11.1MiB live, 35.2MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.4061421708831067e-269	7.012583681182357e-262
18.0ms	-3320907.534625639	-8891.75031613027

Samples

24.0ms

272×

valid

Compiler

Compiled 1 062 to 1 027 computations (3.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-pow2: 5.0ms (29.1% of total)

ival-sqrt: 4.0ms (23.3% of total)

ival-fabs: 3.0ms (17.5% of total)

ival-add!: 2.0ms (11.7% of total)

ival-mult!: 2.0ms (11.7% of total)

ival-sub!: 1.0ms (5.8% of total)

adjust: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3320907.534625639	-8891.75031613027

Compiler

Compiled 513 to 496 computations (3.3% saved)

bsearch72.0ms (0.5%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.097525414324488e-131	3.4016874538923693e-130

Samples

8.0ms

96×

valid

Compiler

Compiled 325 to 318 computations (2.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-pow2: 2.0ms (38.1% of total)

ival-fabs: 1.0ms (19% of total)

ival-sqrt: 1.0ms (19% of total)

ival-add!: 1.0ms (19% of total)

ival-mult!: 1.0ms (19% of total)

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

adjust: 0.0ms (0% of total)

bsearch21.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-7.916215397938541e+158	-1.0708605382045487e+157

Samples

12.0ms

112×

valid

Compiler

Compiled 291 to 304 computations (-4.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-pow2: 3.0ms (37.6% of total)

ival-fabs: 2.0ms (25.1% of total)

ival-sqrt: 1.0ms (12.5% of total)

ival-add!: 1.0ms (12.5% of total)

ival-mult!: 1.0ms (12.5% of total)

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

adjust: 0.0ms (0% of total)

derivations4.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 182 to 107 computations (41.2% saved)

preprocess190.0ms (1.2%)

Memory: -8.5MiB live, 83.7MiB allocated; 15ms collecting garbage
Remove: (sort p r)
Compiler: Compiled 1 844 to 1 525 computations (17.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.5s (9.4%)

preprocess115.0ms (0.7%)

series679.0ms (4.3%)

rewrite3.6s (22.4%)

eval424.0ms (2.7%)

prune62.0ms (0.4%)

series497.0ms (3.1%)

rewrite1.9s (12.1%)

eval213.0ms (1.3%)

prune68.0ms (0.4%)

series449.0ms (2.8%)

rewrite2.0s (12.9%)

eval201.0ms (1.3%)

prune73.0ms (0.5%)

series647.0ms (4.1%)

rewrite2.3s (14.6%)

eval364.0ms (2.3%)

prune132.0ms (0.8%)

regimes94.0ms (0.6%)

regimes26.0ms (0.2%)

regimes46.0ms (0.3%)

regimes13.0ms (0.1%)

regimes25.0ms (0.2%)

regimes32.0ms (0.2%)

regimes20.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch1.0ms (0%)

bsearch41.0ms (0.3%)

bsearch2.0ms (0%)

bsearch72.0ms (0.5%)

bsearch21.0ms (0.1%)

derivations4.0ms (0%)

preprocess190.0ms (1.2%)

end0.0ms (0%)

Profiling