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

start0.0ms (0.0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0.0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
100.0%	99.9%	0.0%	0.1%	0.0%	0.0%	0.0%	1

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample2.1s (41.3%)

Memory

48.0MiB live, 2 084.4MiB allocated; 713ms collecting garbage

Samples

718.0ms	3 193×	1	valid
659.0ms	2 291×	2	valid
289.0ms	2 772×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-pow2: 327.0ms (25.1% of total)

adjust: 259.0ms (19.9% of total)

ival-add!: 217.0ms (16.6% of total)

ival-sqrt: 140.0ms (10.7% of total)

ival-mult!: 129.0ms (9.9% of total)

ival-sub!: 121.0ms (9.3% of total)

ival-fabs: 112.0ms (8.6% of total)

Bogosity

preprocess28.0ms (0.6%)

Memory

25.4MiB live, 25.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	205
1	290	200
2	1288	200

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.2%	(.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

▶

28.2%

(*.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 44 to 36 computations (18.2% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
2
(/ 1 2)
4

Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 4 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 8 to 6 computations (25.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series53.0ms (1.1%)

Memory

11.7MiB live, 56.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	755	5342

Stop Event

1×	iter-limit

Counts

18 → 136

Calls

Call 1

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

Outputs
#s(approx p p)
#s(approx (fabs p) (fabs.f64 p))
#s(approx (+ (fabs p) (fabs r)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (- p r) (*.f64 #s(literal -1 binary64) r))
#s(approx (- p r) (-.f64 p r))
#s(approx (pow (- p r) 2) (pow.f64 r #s(literal 2 binary64)))
#s(approx (pow (- p r) 2) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (pow.f64 r #s(literal 2 binary64))))
#s(approx (pow (- p r) 2) (fma.f64 p (+.f64 p (*.f64 #s(literal -2 binary64) r)) (pow.f64 r #s(literal 2 binary64))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (fma.f64 p (+.f64 p (*.f64 #s(literal -2 binary64) r)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 p (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 p (-.f64 (.f64 p (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (- p r) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))
#s(approx (pow (- p r) 2) (pow.f64 p #s(literal 2 binary64)))
#s(approx (pow (- p r) 2) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 r p)))))
#s(approx (pow (- p r) 2) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 r p) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 r p) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) p))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 p (-.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 p (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 p (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) r)) p)))) #s(literal 1/2 binary64))))
#s(approx (- p r) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (/.f64 r p) #s(literal 1 binary64)))))
#s(approx (pow (- p r) 2) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) p) (*.f64 #s(literal 2 binary64) r)) p)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) p) (*.f64 #s(literal 2 binary64) r)) p)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))) p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) p))) p))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p)))) r) p)) #s(literal 1 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p)) (*.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) p)))) r) p)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 (pow.f64 q #s(literal 2 binary64)) p)) p)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) p) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))) p)) #s(literal 1/2 binary64)))))
#s(approx r r)
#s(approx (fabs r) (fabs.f64 r))
#s(approx (- p r) (+.f64 p (*.f64 #s(literal -1 binary64) r)))
#s(approx (pow (- p r) 2) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (pow.f64 p #s(literal 2 binary64))))
#s(approx (pow (- p r) 2) (fma.f64 r (+.f64 r (*.f64 #s(literal -2 binary64) p)) (pow.f64 p #s(literal 2 binary64))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (fma.f64 r (+.f64 r (*.f64 #s(literal -2 binary64) p)) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 r (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 r (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 r (-.f64 (.f64 r (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 r (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 r (fma.f64 #s(literal 1/2 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 r (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))
#s(approx (- p r) (*.f64 r (-.f64 (/.f64 p r) #s(literal 1 binary64))))
#s(approx (pow (- p r) 2) (.f64 (pow.f64 r #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 p r)))))
#s(approx (pow (- p r) 2) (*.f64 (pow.f64 r #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 p r) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (pow.f64 r #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 p r) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 r (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 p r)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 r (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 r (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 r (-.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 p r))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 r (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 p r))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 r (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) p)) r)))) #s(literal 1/2 binary64))))
#s(approx (- p r) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))
#s(approx (pow (- p r) 2) (.f64 (pow.f64 r #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) r) (*.f64 #s(literal 2 binary64) p)) r)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (.f64 (pow.f64 r #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) r) (*.f64 #s(literal 2 binary64) p)) r)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r))) r))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) r) (.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) r))) r))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r)))) p) r)) #s(literal 1 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) r)) (*.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) r)))) p) r)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) (/.f64 (pow.f64 q #s(literal 2 binary64)) r)) r)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) r) (.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) r) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))) r)) #s(literal 1/2 binary64)))))
#s(approx q q)
#s(approx (pow q 2) (pow.f64 q #s(literal 2 binary64)))
#s(approx (* 4 (pow q 2)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -2 binary64) q))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 q (-.f64 (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q)) #s(literal 2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 q (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q))) #s(literal 2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 q (-.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (fma.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q)))) q)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)))) q)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))

Calls

9 calls:

Time	Variable	Point
3.0ms	q	0
2.0ms	p	0
2.0ms	p	-inf
2.0ms	p	inf
2.0ms	q	inf

rewrite159.0ms (3.2%)

Memory

11.9MiB live, 156.4MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	93
0	31	93
1	146	93
2	509	93
3	1939	93
0	4126	89

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

18 → 507

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
p
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 p))) (sqrt.f64 (neg.f64 (fabs.f64 p))))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 p)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 p)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 p p) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 p p) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)))
(*.f64 (sqrt.f64 (fabs.f64 p)) (sqrt.f64 (fabs.f64 p)))
(*.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 p #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 p))
(pow.f64 (.f64 (.f64 p p) (*.f64 p p)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 p p))
(fabs.f64 (neg.f64 (neg.f64 (fabs.f64 p))))
(fabs.f64 (neg.f64 (fabs.f64 p)))
(fabs.f64 (neg.f64 p))
(fabs.f64 (fabs.f64 p))
(fabs.f64 p)
(exp.f64 (.f64 (log.f64 (.f64 p p)) #s(literal 1/2 binary64)))
r
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 r))) (sqrt.f64 (neg.f64 (fabs.f64 r))))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 r)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 r)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 r r) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 r r) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)))
(*.f64 (sqrt.f64 (fabs.f64 r)) (sqrt.f64 (fabs.f64 r)))
(*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 r #s(literal 1/2 binary64)) (pow.f64 r #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 r) (sqrt.f64 r))
(pow.f64 (.f64 (.f64 r r) (*.f64 r r)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 r r) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (fabs.f64 r)))
(sqrt.f64 (*.f64 r r))
(fabs.f64 (neg.f64 (fabs.f64 r)))
(fabs.f64 (neg.f64 r))
(fabs.f64 (fabs.f64 r))
(fabs.f64 r)
(exp.f64 (.f64 (log.f64 (.f64 r r)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fabs.f64 p)) (fabs.f64 r))) (fabs.f64 r))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))) (fabs.f64 r))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p))) (fabs.f64 p))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (fabs.f64 p))) (fabs.f64 p))
(/.f64 (-.f64 (.f64 r r) (.f64 p p)) (-.f64 (fabs.f64 r) (neg.f64 (neg.f64 (fabs.f64 p)))))
(/.f64 (-.f64 (.f64 r r) (.f64 p p)) (+.f64 (fabs.f64 r) (neg.f64 (fabs.f64 p))))
(/.f64 (-.f64 (.f64 r r) (.f64 p p)) (-.f64 (fabs.f64 r) (fabs.f64 p)))
(/.f64 (+.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 p))) #s(literal 3 binary64))) (+.f64 (.f64 r r) (-.f64 (.f64 p p) (*.f64 (fabs.f64 r) (neg.f64 (neg.f64 (fabs.f64 p)))))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fabs.f64 p)) #s(literal 3 binary64))) (+.f64 (.f64 r r) (+.f64 (.f64 p p) (*.f64 (fabs.f64 r) (neg.f64 (fabs.f64 p))))))
(/.f64 (+.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (fabs.f64 p) #s(literal 3 binary64))) (+.f64 (.f64 r r) (-.f64 (.f64 p p) (*.f64 (fabs.f64 r) (fabs.f64 p)))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fabs.f64 r)) #s(literal 3 binary64))) (+.f64 (.f64 p p) (+.f64 (.f64 r r) (*.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r))))))
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(+.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)) (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64)) (.f64 (fabs.f64 p) #s(literal 1/2 binary64)))

eval85.0ms (1.7%)

Memory: -18.4MiB live, 122.2MiB allocated; 38ms collecting garbage
Compiler: Compiled 26 071 to 3 695 computations (85.8% saved)

prune31.0ms (0.6%)

Memory

0.1MiB live, 44.4MiB allocated; 8ms collecting garbage

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	608	22	630
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	609	22	631

Accuracy

68.2%

Counts

631 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p))))) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p)))))) (.f64 p p)) (-.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 p))))
	21.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.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)))))))
	6.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.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)))))))
▶	21.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p))))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p))))))))
	17.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p)))) #s(literal 1 binary64))))))
	17.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p)))) #s(literal 1/2 binary64)))))
▶	38.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
	2.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 p (-.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))))
	28.2%	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))
	18.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
	20.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
▶	13.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)) #s(literal 1/2 binary64))))
	37.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64))))
	2.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p)) #s(literal 1/2 binary64))))
	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	2.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
	2.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))))
	1.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
	13.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1/2 binary64)))))
▶	39.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))

Compiler

Compiled 1 542 to 1 084 computations (29.7% saved)

sample0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1
-1/2
1
2
(/ 1 2)
1/2
4

Outputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 4 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 11 to 9 computations (18.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series125.0ms (2.5%)

Memory

-29.1MiB live, 128.3MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1643	16794

Stop Event

1×	iter-limit

Counts

37 → 320

Calls

Call 1

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

Outputs
#s(approx p p)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (* -1/2 p) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (fabs p) (fabs.f64 p))
#s(approx (+ (fabs p) (fabs r)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 p (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 p (-.f64 (.f64 p (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))
#s(approx (* -1 p) (*.f64 #s(literal -1 binary64) p))
#s(approx (- (+ (fabs p) (fabs r)) (* -1 p)) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))))
#s(approx (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))
#s(approx (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r) (+.f64 (/.f64 p r) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))))
#s(approx (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)))
#s(approx (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) 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))))
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#s(approx (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) 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 (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 1/2 binary64))))
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#s(approx (- r p) r)
#s(approx (- r p) (+.f64 r (*.f64 #s(literal -1 binary64) p)))
#s(approx (* (- r p) (- r p)) (pow.f64 r #s(literal 2 binary64)))
#s(approx (* (- r p) (- r p)) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (pow.f64 r #s(literal 2 binary64))))
#s(approx (* (- r p) (- r p)) (fma.f64 p (+.f64 p (*.f64 #s(literal -2 binary64) r)) (pow.f64 r #s(literal 2 binary64))))
#s(approx (+ (* (* q 4) q) (* (- r p) (- r p))) (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 (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (pow.f64 (sqrt.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)))
#s(approx (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (fma.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))))) (pow.f64 (sqrt.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))))
#s(approx (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (fma.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))))))) (pow.f64 (sqrt.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))))
#s(approx (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (fma.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))))))))) (pow.f64 (sqrt.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))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (sqrt.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))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))) (pow.f64 (sqrt.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))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 p (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))) (pow.f64 (sqrt.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))))
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#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (sqrt.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)))))
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#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p)) (*.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) p)))) r) p)) #s(literal 1 binary64)))))
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#s(approx (/ (- (+ (fabs p) (fabs r)) (* -1 p)) 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 (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) p)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) r))))))
#s(approx (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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 (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 r (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) p)) #s(literal 1/2 binary64)))))
#s(approx (* (- r p) (- r p)) (.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 (+ (* (* q 4) q) (* (- r p) (- r p))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) p) (*.f64 #s(literal 2 binary64) r)) p)))))
#s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (.f64 #s(literal -1 binary64) (.f64 p (sqrt.f64 (/.f64 #s(literal -1 binary64) p)))))
#s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) (.f64 #s(literal 1/2 binary64) (/.f64 r (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) p)))))))))
#s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) p)))) (.f64 #s(literal 1/2 binary64) (/.f64 r (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) p))))))))))
#s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) r)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64))))) (.f64 p (sqrt.f64 (/.f64 #s(literal -1 binary64) p)))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) p)))) (pow.f64 p #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 r (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) p))))))))))
#s(approx (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (/.f64 r (pow.f64 p #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (+.f64 (/.f64 r (pow.f64 p #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64))))))
#s(approx (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.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)))) (pow.f64 p #s(literal 3 binary64))) (+.f64 (/.f64 r (pow.f64 p #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (fabs.f64 p) (pow.f64 p #s(literal 2 binary64))) (/.f64 (fabs.f64 r) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (/.f64 r (pow.f64 p #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (+.f64 (/.f64 (fabs.f64 p) (pow.f64 p #s(literal 2 binary64))) (/.f64 (fabs.f64 r) (pow.f64 p #s(literal 2 binary64))))) (+.f64 (/.f64 r (pow.f64 p #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p)) (.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) (pow.f64 p #s(literal 3 binary64))) (+.f64 (/.f64 (fabs.f64 p) (pow.f64 p #s(literal 2 binary64))) (/.f64 (fabs.f64 r) (pow.f64 p #s(literal 2 binary64))))) (+.f64 (/.f64 r (pow.f64 p #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (pow.f64 p #s(literal 2 binary64))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) (pow.f64 p #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 r (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 r (fma.f64 #s(literal 1/2 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 r (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))
#s(approx (fabs r) (fabs.f64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 r (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 r (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 r (-.f64 (.f64 r (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (- (+ (fabs p) (fabs r)) (* -1 p)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)))
#s(approx (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))
#s(approx (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) p)) r)))
#s(approx (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) r (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) p)))) r))
#s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) p))))
#s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (fma.f64 #s(literal -1/2 binary64) r (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) p)))))
#s(approx (- r p) (-.f64 r p))
#s(approx (* (- r p) (- r p)) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (pow.f64 p #s(literal 2 binary64))))
#s(approx (* (- r p) (- r p)) (fma.f64 r (+.f64 r (*.f64 #s(literal -2 binary64) p)) (pow.f64 p #s(literal 2 binary64))))
#s(approx (+ (* (* q 4) q) (* (- r p) (- r p))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))
#s(approx (+ (* (* q 4) q) (* (- r p) (- r p))) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (+ (* (* q 4) q) (* (- r p) (- r p))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (fma.f64 r (+.f64 r (*.f64 #s(literal -2 binary64) p)) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (+.f64 (sqrt.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 -1/2 binary64) (/.f64 (.f64 p r) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (+.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 r (fma.f64 #s(literal -1/2 binary64) (/.f64 p (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.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 2 binary64))))))) (sqrt.f64 (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 (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (pow.f64 (sqrt.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)))
#s(approx (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (fma.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))))) (pow.f64 (sqrt.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))))
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#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (sqrt.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))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))) (pow.f64 (sqrt.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))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 r (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))) (pow.f64 (sqrt.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))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 r (-.f64 (.f64 r (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))) (pow.f64 (sqrt.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))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (sqrt.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)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (sqrt.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))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (sqrt.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))) (.f64 r (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (sqrt.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))) (.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)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) p)) r)))) #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 r (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 p r)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 r (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 r (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) r))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 r (-.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 p r))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 r (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 p r))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 r (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))
#s(approx (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2) #s(literal -1/2 binary64))
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#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 (pow.f64 r #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) r) (.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) (pow.f64 r #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) r)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx q q)
#s(approx (* -1 q) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (* 2 q) (*.f64 #s(literal 2 binary64) q))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
#s(approx (* q 4) (*.f64 #s(literal 4 binary64) q))
#s(approx (+ (* (* q 4) q) (* (- r p) (- r p))) (pow.f64 (-.f64 r p) #s(literal 2 binary64)))
#s(approx (+ (* (* q 4) q) (* (- r p) (- r p))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 (-.f64 r p) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #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 r p) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #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 r p) #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 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))))))
#s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))
#s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))))
#s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))))))
#s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))))))
#s(approx (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 5 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64))))
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#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)))) q)) #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))))
#s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (.f64 #s(literal -1 binary64) (.f64 q (sqrt.f64 (/.f64 #s(literal -2 binary64) q)))))
#s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (.f64 (pow.f64 q #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) q)))))))))
#s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) q)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) q))))) (pow.f64 q #s(literal 3 binary64))))))))
#s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) q)))) (fma.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 3 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) q)))))) (pow.f64 q #s(literal 3 binary64))))))))
#s(approx (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (pow.f64 q #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64))) (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64))))) (pow.f64 q #s(literal 3 binary64))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64))))) (pow.f64 q #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (fabs.f64 p) (pow.f64 q #s(literal 2 binary64))) (/.f64 (fabs.f64 r) (pow.f64 q #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 3 binary64))) (+.f64 (/.f64 (fabs.f64 p) (pow.f64 q #s(literal 2 binary64))) (/.f64 (fabs.f64 r) (pow.f64 q #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (pow.f64 q #s(literal 3 binary64))) (+.f64 (/.f64 (fabs.f64 p) (pow.f64 q #s(literal 2 binary64))) (/.f64 (fabs.f64 r) (pow.f64 q #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 q #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) (pow.f64 q #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 q #s(literal 2 binary64))))))))

Calls

9 calls:

Time	Variable	Point
10.0ms	r	inf
6.0ms	q	inf
6.0ms	p	inf
5.0ms	p	0
5.0ms	q	0

rewrite188.0ms (3.8%)

Memory

15.7MiB live, 291.4MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	397
0	76	326
1	355	314
2	1376	314
0	4073	266

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

37 → 901

Calls

Call 1

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

Outputs
p
r
q
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) q)
(*.f64 q #s(literal -1 binary64))
(neg.f64 q)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/2 binary64) p)
(*.f64 p #s(literal -1/2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) p))
(neg.f64 (*.f64 p #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(.f64 (pow.f64 (.f64 p p) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 p p) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)))
(*.f64 (sqrt.f64 (fabs.f64 p)) (sqrt.f64 (fabs.f64 p)))
(*.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 p #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 p))
(*.f64 (fabs.f64 p) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 p))
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 p p) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 p p))
(fabs.f64 (*.f64 (neg.f64 p) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (fabs.f64 p) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 p)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 p)))
(fabs.f64 (neg.f64 (fabs.f64 p)))
(fabs.f64 (neg.f64 p))
(fabs.f64 (fabs.f64 p))
(fabs.f64 p)
(exp.f64 (.f64 (log.f64 (.f64 p p)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 r r) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 r r) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)))
(*.f64 (sqrt.f64 (fabs.f64 r)) (sqrt.f64 (fabs.f64 r)))
(*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 r #s(literal 1/2 binary64)) (pow.f64 r #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 r) (sqrt.f64 r))
(pow.f64 (*.f64 r r) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 r r) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 r r))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 r))))
(fabs.f64 (neg.f64 (neg.f64 r)))
(fabs.f64 (neg.f64 (fabs.f64 r)))
(fabs.f64 (neg.f64 r))
(fabs.f64 (fabs.f64 r))
(fabs.f64 r)
(exp.f64 (.f64 (log.f64 (.f64 r r)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (fabs.f64 r))) (fabs.f64 p))) (fabs.f64 p))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fabs.f64 p)) (fabs.f64 r))) (fabs.f64 r))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))) (fabs.f64 r))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p))) (fabs.f64 p))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (fabs.f64 p))) (fabs.f64 p))
(/.f64 (-.f64 (.f64 p p) (.f64 r r)) (+.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r))))
(/.f64 (-.f64 (.f64 p p) (.f64 r r)) (-.f64 (fabs.f64 p) (fabs.f64 r)))
(/.f64 (-.f64 (.f64 r r) (.f64 p p)) (+.f64 (fabs.f64 r) (neg.f64 (fabs.f64 p))))
(/.f64 (-.f64 (.f64 r r) (.f64 p p)) (-.f64 (fabs.f64 r) (fabs.f64 p)))
(/.f64 (-.f64 (.f64 p p) (.f64 (neg.f64 (neg.f64 (fabs.f64 r))) (neg.f64 (neg.f64 (fabs.f64 r))))) (-.f64 (fabs.f64 p) (neg.f64 (neg.f64 (fabs.f64 r)))))
(/.f64 (+.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 r))) #s(literal 3 binary64))) (+.f64 (.f64 p p) (-.f64 (.f64 (neg.f64 (neg.f64 (fabs.f64 r))) (neg.f64 (neg.f64 (fabs.f64 r)))) (*.f64 (fabs.f64 p) (neg.f64 (neg.f64 (fabs.f64 r)))))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fabs.f64 p)) #s(literal 3 binary64))) (+.f64 (.f64 r r) (+.f64 (.f64 p p) (*.f64 (fabs.f64 r) (neg.f64 (fabs.f64 p))))))
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(fma.f64 (fabs.f64 p) #s(literal 1/2 binary64) (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) (.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (neg.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 p)) (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))))))
(-.f64 (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (neg.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))))
(-.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (neg.f64 (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 p)) (.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))))))
(+.f64 (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64)))

eval175.0ms (3.5%)

Memory: 20.5MiB live, 245.3MiB allocated; 45ms collecting garbage
Compiler: Compiled 70 373 to 7 373 computations (89.5% saved)

prune59.0ms (1.2%)

Memory

-21.1MiB live, 84.4MiB allocated; 18ms collecting garbage

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	1 211	27	1 238
Fresh	10	7	17
Picked	5	0	5
Done	-1	1	0
Total	1 225	35	1 260

Accuracy

73.5%

Counts

1 260 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	24.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))))) (.f64 p p)) (-.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) (fabs.f64 p))))
▶	46.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (hypot.f64 (-.f64 r p) (+.f64 q q))) (sqrt.f64 (hypot.f64 (-.f64 r p) (+.f64 q q))))))
	0.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (.f64 p (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))) #s(approx (sqrt (sqrt (+ ( (* q 4) q) (* (- r p) (- r p))))) (*.f64 p (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))))))
	0.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (.f64 #s(literal -1 binary64) (.f64 r (sqrt.f64 (/.f64 #s(literal -1 binary64) r))))) #s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (.f64 #s(literal -1 binary64) (.f64 r (sqrt.f64 (/.f64 #s(literal -1 binary64) r))))))))
	4.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (.f64 #s(literal -1 binary64) (.f64 p (sqrt.f64 (/.f64 #s(literal -1 binary64) p))))) #s(approx (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (.f64 #s(literal -1 binary64) (.f64 p (sqrt.f64 (/.f64 #s(literal -1 binary64) p))))))))
	2.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 p (-.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))))
	28.2%	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))
	38.0%	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (+.f64 q q))) #s(literal 1/2 binary64))
	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) r)) #s(literal 2 binary64)))))
	0.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) r)) #s(literal 2 binary64)))))
	29.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) #s(literal 2 binary64)))))
	0.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
▶	0.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64)))))
	6.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64)))))
	18.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
	20.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	4.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (fma.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) (.f64 (/.f64 #s(literal 1 binary64) r) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
▶	10.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (fabs.f64 r) p) (/.f64 #s(literal 1 binary64) r) (/.f64 (fabs.f64 p) r))) #s(literal 1/2 binary64))))
	25.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fabs.f64 r) (/.f64 #s(literal 1 binary64) r) (/.f64 (+.f64 (fabs.f64 p) p) r))) #s(literal 1/2 binary64))))
	11.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) r p) r)) #s(literal 1/2 binary64))))
	28.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r)) #s(literal 1/2 binary64))))
	11.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) #s(approx (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))) #s(literal 1/2 binary64))))
	9.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (- ( 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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))))))))
	5.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (- ( 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2) #s(literal -1/2 binary64))))
	37.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64))))
	2.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p)) #s(literal 1/2 binary64))))
	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	2.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
	2.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))))
	1.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
▶	39.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
▶	13.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (fma.f64 #s(literal -1/2 binary64) r (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) p))))))
	10.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) p)))))

Compiler

Compiled 3 062 to 1 929 computations (37.0% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
2
(/ 1 2)
-1/2
1/2
-1

Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 8 computations (20.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series98.0ms (2.0%)

Memory

26.7MiB live, 111.5MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1431	13127

Stop Event

1×	iter-limit

Counts

42 → 283

Calls

Call 1

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

Outputs
#s(approx p p)
#s(approx (fabs p) (fabs.f64 p))
#s(approx (+ (fabs p) (fabs r)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (- r p) r)
#s(approx (- r p) (+.f64 r (*.f64 #s(literal -1 binary64) p)))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (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 p) (*.f64 #s(literal -1 binary64) p))
#s(approx (- (+ (fabs p) (fabs r)) (* -1 p)) (+.f64 p (+.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 (+ (* -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) r (fma.f64 #s(literal 1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 1/2 binary64))))
#s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (fma.f64 #s(literal 1/2 binary64) p (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 1/2 binary64)))))
#s(approx (+ (fabs r) p) (fabs.f64 r))
#s(approx (+ (fabs r) p) (+.f64 p (fabs.f64 r)))
#s(approx (/ (fabs p) r) (/.f64 (fabs.f64 p) r))
#s(approx (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) r)) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)))
#s(approx (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) r)) (+.f64 (/.f64 p r) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))))
#s(approx (* 1/2 (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) r))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))))
#s(approx (* 1/2 (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) r))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 p r))))
#s(approx (- (* 1/2 (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) r))) 1/2) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64)))
#s(approx (- (* 1/2 (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) r))) 1/2) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 p r))) #s(literal 1/2 binary64)))
#s(approx (* r (- (* 1/2 (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) r))) 1/2)) (.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))))
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#s(approx (pow p 2) (pow.f64 p #s(literal 2 binary64)))
#s(approx (/ 1 p) (/.f64 #s(literal 1 binary64) p))
#s(approx (sqrt (/ 1 p)) (/.f64 (sqrt.f64 p) p))
#s(approx (pow (sqrt (/ 1 p)) 2) (/.f64 (pow.f64 (sqrt.f64 p) #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))
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#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))
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#s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (*.f64 p (sqrt.f64 (/.f64 #s(literal 1 binary64) p))))
#s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 p (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) (.f64 #s(literal -1/2 binary64) (/.f64 r (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p))))))))
#s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 p (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p))))))))
#s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 p (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) r)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64))))) (.f64 (pow.f64 p #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))))))))
#s(approx (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64))))
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#s(approx (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 r (pow.f64 p #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64))))))
#s(approx (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 r (pow.f64 p #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64)))))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (fabs.f64 p) (pow.f64 p #s(literal 2 binary64))) (/.f64 (fabs.f64 r) (pow.f64 p #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 r (pow.f64 p #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64))))))
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#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 4 binary64))) (+.f64 (/.f64 (fabs.f64 p) (pow.f64 p #s(literal 2 binary64))) (/.f64 (fabs.f64 r) (pow.f64 p #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 r (pow.f64 p #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) r)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) r)) p)))) #s(literal 1/2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (* -1 p)) (*.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)) (* -1 p))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (* -1 p))) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))))
#s(approx (+ (* -1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) (* -1 p)))) (.f64 p (+.f64 #s(literal 1/2 binary64) (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(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (.f64 p (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 r (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))) #s(literal 1/2 binary64))) p))))
#s(approx (+ (fabs r) p) (*.f64 p (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) p))))
#s(approx (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) r)) (/.f64 p r))
#s(approx (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) 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 (* 1/2 (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) r))) (*.f64 #s(literal 1/2 binary64) (/.f64 p r)))
#s(approx (* 1/2 (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) r))) (.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) p) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) r)))))
#s(approx (- (* 1/2 (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) r))) 1/2) (.f64 p (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) p) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) r))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
#s(approx (sqrt (/ 1 p)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))
#s(approx (pow (sqrt (/ 1 p)) 2) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64)))
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#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) r) (.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) r) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))) r)) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 r) (* 1/2 (- (+ (fabs p) (fabs r)) (* -1 p)))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) p)) r))))))
#s(approx (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) r)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 p) (.f64 #s(literal -1 binary64) (+.f64 p (fabs.f64 r)))) r)))
#s(approx (* 1/2 (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) r))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 p) (.f64 #s(literal -1 binary64) (+.f64 p (fabs.f64 r)))) r)))
#s(approx (- (* 1/2 (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) r))) 1/2) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 p) (.f64 #s(literal -1 binary64) (+.f64 p (fabs.f64 r)))) r)) #s(literal 1/2 binary64)))
#s(approx (* r (- (* 1/2 (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) r))) 1/2)) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 p) (.f64 #s(literal -1 binary64) (+.f64 p (fabs.f64 r)))) r))))))
#s(approx q q)
#s(approx (+ q q) (*.f64 #s(literal 2 binary64) q))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))
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#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #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 r p) #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 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))))))
#s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))
#s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))))
#s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))))))
#s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))))))
#s(approx (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 5 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))))))) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))))))
#s(approx (neg q) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
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#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
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#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 q #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) (pow.f64 q #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))

Calls

9 calls:

Time	Variable	Point
9.0ms	p	0
4.0ms	p	-inf
4.0ms	r	-inf
4.0ms	p	inf
3.0ms	r	0

rewrite284.0ms (5.7%)

Memory

-22.7MiB live, 340.8MiB allocated; 235ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	451
0	106	366
1	556	331
2	2377	319
0	4037	314

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

42 → 1 089

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
p
(*.f64 (sqrt.f64 (fabs.f64 p)) (sqrt.f64 (fabs.f64 p)))
(*.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 p #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)))
(*.f64 (sqrt.f64 p) (sqrt.f64 p))
(*.f64 (fabs.f64 p) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 p))
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 p p) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 p p))
(fabs.f64 (*.f64 (neg.f64 p) #s(literal 1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 p)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 p)))
(fabs.f64 (*.f64 (fabs.f64 p) #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (fabs.f64 p)))
(fabs.f64 (neg.f64 p))
(fabs.f64 (fabs.f64 p))
(fabs.f64 p)
(exp.f64 (.f64 (log.f64 (.f64 p p)) #s(literal 1/2 binary64)))
r
(*.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)))
(*.f64 (sqrt.f64 (fabs.f64 r)) (sqrt.f64 (fabs.f64 r)))
(*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 r #s(literal 1/2 binary64)) (pow.f64 r #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 r) (sqrt.f64 r))
(pow.f64 (*.f64 r r) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 r r) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 r r))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 r))))
(fabs.f64 (neg.f64 (neg.f64 r)))
(fabs.f64 (neg.f64 (fabs.f64 r)))
(fabs.f64 (neg.f64 r))
(fabs.f64 (fabs.f64 r))
(fabs.f64 r)
(exp.f64 (.f64 (log.f64 (.f64 r r)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) (fabs.f64 r))) (fabs.f64 r))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p))) (fabs.f64 p))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (fabs.f64 p))) (fabs.f64 p))
(/.f64 (-.f64 (.f64 p p) (.f64 r r)) (+.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r))))
(/.f64 (-.f64 (.f64 p p) (.f64 r r)) (-.f64 (fabs.f64 p) (fabs.f64 r)))
(/.f64 (+.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (fabs.f64 p) #s(literal 3 binary64))) (+.f64 (.f64 r r) (-.f64 (.f64 p p) (*.f64 (fabs.f64 r) (fabs.f64 p)))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fabs.f64 r)) #s(literal 3 binary64))) (+.f64 (.f64 p p) (+.f64 (.f64 r r) (*.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r))))))
(/.f64 (-.f64 (.f64 r r) (.f64 p p)) (-.f64 (fabs.f64 r) (fabs.f64 p)))
(/.f64 (+.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (fabs.f64 r) #s(literal 3 binary64))) (+.f64 (.f64 p p) (-.f64 (.f64 r r) (*.f64 (fabs.f64 p) (fabs.f64 r)))))
(neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p)))
(fma.f64 (fabs.f64 p) #s(literal 1 binary64) (neg.f64 (neg.f64 (fabs.f64 r))))
(fma.f64 (fabs.f64 p) #s(literal 1 binary64) (fabs.f64 r))
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (neg.f64 (neg.f64 (fabs.f64 r))))
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (fabs.f64 r))
(-.f64 (fabs.f64 r) (neg.f64 (fabs.f64 p)))
(-.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r)))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(+.f64 (fabs.f64 p) (neg.f64 (neg.f64 (fabs.f64 r))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 p) r)) r)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)
(/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (neg.f64 p) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (.f64 p p) (.f64 r (neg.f64 p)))))
(/.f64 (-.f64 (.f64 r r) (.f64 p p)) (-.f64 r (neg.f64 p)))
(/.f64 (-.f64 (.f64 r r) (.f64 p p)) (+.f64 r p))
(/.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (fma.f64 r r (fma.f64 p p (*.f64 r p))))
(neg.f64 (-.f64 p r))
(fma.f64 #s(literal -1 binary64) p (neg.f64 (neg.f64 r)))
(fma.f64 #s(literal -1 binary64) p r)
(fma.f64 p #s(literal -1 binary64) (neg.f64 (neg.f64 r)))
(fma.f64 p #s(literal -1 binary64) r)
(-.f64 r p)
(+.f64 (neg.f64 p) (neg.f64 (neg.f64 r)))
(+.f64 (neg.f64 p) r)
(+.f64 r (neg.f64 p))
q
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 q) q)) q)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 q q)) q)
(*.f64 q #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) q)
(/.f64 (-.f64 (pow.f64 q #s(literal 3 binary64)) (pow.f64 (neg.f64 q) #s(literal 3 binary64))) (fma.f64 q q (+.f64 (.f64 q q) (.f64 q (neg.f64 q)))))
(/.f64 (-.f64 (.f64 q q) (.f64 q q)) (+.f64 q (neg.f64 q)))
(/.f64 (-.f64 (.f64 q q) (.f64 q q)) (-.f64 q q))
(/.f64 (+.f64 (pow.f64 q #s(literal 3 binary64)) (pow.f64 q #s(literal 3 binary64))) (fma.f64 q q (-.f64 (.f64 q q) (.f64 q q))))
(neg.f64 (*.f64 #s(literal -2 binary64) q))
(-.f64 q (neg.f64 q))
(+.f64 q (neg.f64 (neg.f64 q)))
(+.f64 q q)
(.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 #s(literal 4 binary64) q) q))))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 #s(literal 4 binary64) q) q))))))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 #s(literal 4 binary64) q) q))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 #s(literal 4 binary64) q) q))))))
(.f64 (sqrt.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 #s(literal 4 binary64) q) q))))) #s(literal 3 binary64))) (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 #s(literal 4 binary64) q) q)))))))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 #s(literal 4 binary64) q) q)) #s(literal 3/4 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 #s(literal 4 binary64) q) q))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 #s(literal 4 binary64) q) q)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 #s(literal 4 binary64) q) q)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 #s(literal 4 binary64) q) q)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 #s(literal 4 binary64) q) q)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 #s(literal 4 binary64) q) q))))) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 #s(literal 4 binary64) q) q))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 #s(literal 4 binary64) q) q)))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 #s(literal 4 binary64) q) q)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 #s(literal 4 binary64) q) q))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 #s(literal 4 binary64) q) q))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 #s(literal 4 binary64) q) q))))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 #s(literal 4 binary64) q) q))))))
(.f64 (pow.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 #s(literal 4 binary64) q) q)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 #s(literal 4 binary64) q) q)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 #s(literal 4 binary64) q) q)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 #s(literal 4 binary64) q) q)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 #s(literal 4 binary64) q) q)))))) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 #s(literal 4 binary64) q) q)))))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 #s(literal 4 binary64) q) q)))))) (sqrt.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 #s(literal 4 binary64) q) q))))) #s(literal 3 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 #s(literal 4 binary64) q) q))))) (sqrt.f64 (pow.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 #s(literal 4 binary64) q) q)) #s(literal 3/4 binary64))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 #s(literal 4 binary64) q) q)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 #s(literal 4 binary64) q) q)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 #s(literal 4 binary64) q) q)))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 #s(literal 4 binary64) q) q)))))
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(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 p) #s(literal -2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 p)))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (neg.f64 p))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (neg.f64 p)) #s(literal -1 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 p #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 p))))
(/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 #s(literal 2 binary64) (neg.f64 p))))
(/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 #s(literal 2 binary64) p)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) p))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 p p)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 p) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) p) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 p #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 p))
(/.f64 #s(literal 1 binary64) p)
(neg.f64 (/.f64 #s(literal -1 binary64) p))
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 p)) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) p))
(fma.f64 (/.f64 #s(literal 2 binary64) p) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) p))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))) (/.f64 #s(literal 0 binary64) p))
(fma.f64 (/.f64 #s(literal -1 binary64) p) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) p))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (neg.f64 p)) (/.f64 #s(literal 0 binary64) p))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p))) (/.f64 #s(literal 0 binary64) p))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) (/.f64 #s(literal 0 binary64) p))
(fma.f64 (/.f64 #s(literal 1 binary64) p) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) p))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) p) (/.f64 #s(literal 0 binary64) p))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) p) (/.f64 #s(literal 0 binary64) p))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) p) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) p))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) p) (/.f64 #s(literal 0 binary64) p))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) p) (/.f64 #s(literal 0 binary64) p))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) p)) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) p)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p p)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1 binary64) p)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p))) (sqrt.f64 (/.f64 #s(literal 1 binary64) p))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) p))
(fabs.f64 (/.f64 #s(literal 1 binary64) p))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 p p))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 p) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p))) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (neg.f64 p))) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (neg.f64 p))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) p)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) p)))
(+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 #s(literal 1/2 binary64) p))
(+.f64 (/.f64 #s(literal 1 binary64) p) (/.f64 #s(literal 0 binary64) p))
p
(.f64 (.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p))) (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) p)) (*.f64 p p))
(.f64 (.f64 (*.f64 p p) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) p))
(.f64 (/.f64 #s(literal 1 binary64) p) (.f64 (*.f64 p p) #s(literal -1/2 binary64)))
(.f64 (.f64 p p) (*.f64 (/.f64 #s(literal 1 binary64) p) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) p)
(*.f64 p #s(literal -1/2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) p))
(neg.f64 (*.f64 p #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (*.f64 #s(literal -1/2 binary64) p))

eval162.0ms (3.3%)

Memory: 1.1MiB live, 224.0MiB allocated; 49ms collecting garbage
Compiler: Compiled 70 140 to 7 349 computations (89.5% saved)

prune72.0ms (1.4%)

Memory

17.4MiB live, 125.0MiB allocated; 16ms collecting garbage

Pruning

46 alts after pruning (43 fresh and 3 done)

	Pruned	Kept	Total
New	1 207	33	1 240
Fresh	19	10	29
Picked	5	0	5
Done	-2	3	1
Total	1 229	46	1 275

Accuracy

73.5%

Counts

1 275 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
	41.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (hypot.f64 #s(approx (- r p) r) (+.f64 q q))) (sqrt.f64 (hypot.f64 #s(approx (- r p) r) (+.f64 q q))))))
	0.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 #s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (.f64 #s(literal -2 binary64) q))) (sqrt.f64 #s(approx (sqrt (+ ( (- r p) (- r p)) (* (+ q q) (+ q q)))) (*.f64 #s(literal -2 binary64) q))))))
	0.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 p (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))) #s(approx (sqrt (sqrt (+ ( (- r p) (- r p)) (* (+ q q) (+ q q))))) (*.f64 p (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))))))
	0.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 #s(literal -1 binary64) (.f64 r (sqrt.f64 (/.f64 #s(literal -1 binary64) r))))) #s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 #s(literal -1 binary64) (.f64 r (sqrt.f64 (/.f64 #s(literal -1 binary64) r))))))))
	4.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 #s(literal -1 binary64) (.f64 p (sqrt.f64 (/.f64 #s(literal -1 binary64) p))))) #s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 #s(literal -1 binary64) (.f64 p (sqrt.f64 (/.f64 #s(literal -1 binary64) p))))))))
	2.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 p (-.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))))
	28.2%	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))
	38.0%	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (+.f64 q q))) #s(literal 1/2 binary64))
▶	46.1%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (hypot.f64 (-.f64 r p) (+.f64 q q))) (sqrt.f64 (hypot.f64 (-.f64 r p) (+.f64 q q))))))
	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) r)) #s(literal 2 binary64)))))
	0.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) r)) #s(literal 2 binary64)))))
▶	29.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) #s(literal 2 binary64)))))
	0.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
	6.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64)))))
	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 (/.f64 #s(literal 1 binary64) p) (.f64 (*.f64 p p) #s(literal -1/2 binary64))))
	0.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 (.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p))) (sqrt.f64 (/.f64 #s(literal 1 binary64) p))))
	0.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) p))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
	0.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 p)) #s(literal 2 binary64)))))
	2.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 p p))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
	0.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 p) #s(literal -1 binary64)))) #s(literal 2 binary64)))))
	0.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 (*.f64 (log.f64 p) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64)))))
	0.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) #s(approx ( (pow p 2) (pow (sqrt (/ 1 p)) 2)) (pow.f64 (sqrt.f64 p) #s(literal 2 binary64)))))
	28.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) #s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r))))))
	18.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
	20.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
▶	11.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64))))
✓	10.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (fabs.f64 r) p) (/.f64 #s(literal 1 binary64) r) (/.f64 (fabs.f64 p) r))) #s(literal 1/2 binary64))))
	11.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) r p) 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)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (fabs.f64 r) p) r (.f64 (fabs.f64 p) r)) (.f64 r r))) #s(literal 1/2 binary64))))
	9.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (- ( 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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))))))))
	5.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (- ( 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2) #s(literal -1/2 binary64))))
	37.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64))))
	2.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p)) #s(literal 1/2 binary64))))
	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	2.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
	2.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))))
	1.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
✓	39.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	12.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (fma.f64 #s(literal -1/2 binary64) r (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) p) r) r (fabs.f64 p))))))
	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (fma.f64 #s(literal -1/2 binary64) r (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) r) (.f64 (+.f64 (fabs.f64 r) p) r) (fabs.f64 p))))))
	11.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (fma.f64 #s(literal -1/2 binary64) r (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (.f64 (log.f64 (.f64 p p)) #s(literal 1/2 binary64))) (fabs.f64 r)) (.f64 #s(literal -1 binary64) p))))))
	11.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (fma.f64 #s(literal -1/2 binary64) r #s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (* -1 p))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
	3.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (fma.f64 #s(literal -1/2 binary64) r #s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (* -1 p))) (*.f64 #s(literal 1/2 binary64) p)))))
	10.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (* 1/2 (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) r))) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))))))

Compiler

Compiled 4 352 to 2 585 computations (40.6% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
-1/2
2

Outputs
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series111.0ms (2.2%)

Memory

-13.7MiB live, 226.2MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1450	13118

Stop Event

1×	iter-limit

Counts

40 → 285

Calls

Call 1

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

Outputs
#s(approx p p)
#s(approx (fabs p) (fabs.f64 p))
#s(approx (+ (fabs p) (fabs r)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (- r p) r)
#s(approx (- r p) (+.f64 r (*.f64 #s(literal -1 binary64) p)))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt.f64 (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 (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (+.f64 (sqrt.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 -1/2 binary64) (/.f64 (.f64 p r) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))
#s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (+.f64 (sqrt.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 -1/2 binary64) (/.f64 r (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.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 2 binary64))))))) (sqrt.f64 (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 (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (+.f64 (sqrt.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 -1/2 binary64) (/.f64 r (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.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 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.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 2 binary64))))))) (.f64 (pow.f64 (sqrt.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))))))))) (sqrt.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 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.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 2 binary64)))))) (sqrt.f64 (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 (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (pow.f64 (sqrt.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)))
#s(approx (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (fma.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))))) (pow.f64 (sqrt.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))))
#s(approx (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (fma.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))))))) (pow.f64 (sqrt.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))))
#s(approx (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (fma.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))))))))) (pow.f64 (sqrt.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))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))))) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (sqrt.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))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (/.f64 (*.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))) (pow.f64 (sqrt.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))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 p (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))) (pow.f64 (sqrt.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))))
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#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (sqrt.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)))))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) #s(literal 2 binary64))) (.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
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#s(approx (* 1/2 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 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (+ (fabs p) p) (+.f64 p (fabs.f64 p)))
#s(approx (+ (+ (fabs p) p) (fabs r)) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))))
#s(approx (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 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 (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 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 (* r (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 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 (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 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 (+ (fabs r) p) (fabs.f64 r))
#s(approx (+ (fabs r) p) (+.f64 p (fabs.f64 r)))
#s(approx (* (fabs p) r) (*.f64 r (fabs.f64 p)))
#s(approx (+ (* (+ (fabs r) p) r) (* (fabs p) r)) (fma.f64 r (fabs.f64 p) (*.f64 r (fabs.f64 r))))
#s(approx (+ (* (+ (fabs r) p) r) (* (fabs p) r)) (fma.f64 p r (fma.f64 r (fabs.f64 p) (*.f64 r (fabs.f64 r)))))
#s(approx (/ (+ (* (+ (fabs r) p) r) (* (fabs p) r)) (* r r)) (/.f64 (fma.f64 r (fabs.f64 p) (*.f64 r (fabs.f64 r))) (pow.f64 r #s(literal 2 binary64))))
#s(approx (/ (+ (* (+ (fabs r) p) r) (* (fabs p) r)) (* r r)) (+.f64 (/.f64 p r) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))))
#s(approx (* 1/2 (/ (+ (* (+ (fabs r) p) r) (* (fabs p) r)) (* r r))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 r (fabs.f64 p) (.f64 r (fabs.f64 r))) (pow.f64 r #s(literal 2 binary64)))))
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#s(approx (- (* 1/2 (/ (+ (* (+ (fabs r) p) r) (* (fabs p) r)) (* r r))) 1/2) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 r (fabs.f64 p) (.f64 r (fabs.f64 r))) (pow.f64 r #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
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#s(approx (+ (* (+ (+ (fabs p) p) (fabs r)) (/ 1/2 r)) -1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 p r)))
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#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (pow.f64 p #s(literal 2 binary64)))))))
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#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) (pow.f64 p #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (pow.f64 p #s(literal 2 binary64))))))))
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#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 (pow.f64 q #s(literal 2 binary64)) p)) p)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) p) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))) p)) #s(literal 1/2 binary64)))))
#s(approx (+ (fabs p) p) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 p) p)) #s(literal 1 binary64)))))
#s(approx (+ (+ (fabs p) 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)))))
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#s(approx (+ (fabs r) p) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 r) p)) #s(literal 1 binary64)))))
#s(approx (+ (* (+ (fabs r) p) r) (* (fabs p) r)) (.f64 #s(literal -1 binary64) (.f64 p (fma.f64 #s(literal -1 binary64) r (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 r (fabs.f64 p) (.f64 r (fabs.f64 r))) p))))))
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#s(approx q q)
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#s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) q)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) q))))) (pow.f64 q #s(literal 3 binary64))))))))
#s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) q)))) (fma.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (.f64 (pow.f64 q #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 3 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) q)))))) (pow.f64 q #s(literal 3 binary64))))))))
#s(approx (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (pow.f64 q #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64))) (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64))))) (pow.f64 q #s(literal 3 binary64))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64))))) (pow.f64 q #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (fabs.f64 p) (pow.f64 q #s(literal 2 binary64))) (/.f64 (fabs.f64 r) (pow.f64 q #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 3 binary64))) (+.f64 (/.f64 (fabs.f64 p) (pow.f64 q #s(literal 2 binary64))) (/.f64 (fabs.f64 r) (pow.f64 q #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) (pow.f64 q #s(literal 3 binary64))) (+.f64 (/.f64 (fabs.f64 p) (pow.f64 q #s(literal 2 binary64))) (/.f64 (fabs.f64 r) (pow.f64 q #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 q #s(literal 2 binary64)))))))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) (pow.f64 q #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))

Calls

9 calls:

Time	Variable	Point
4.0ms	p	inf
4.0ms	r	-inf
3.0ms	r	inf
3.0ms	p	0
3.0ms	p	-inf

rewrite232.0ms (4.7%)

Memory

24.5MiB live, 543.6MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	409
0	94	354
1	476	336
2	1970	336
0	4607	333

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

40 → 1 041

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)
p
(*.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)))
(*.f64 (sqrt.f64 (fabs.f64 p)) (sqrt.f64 (fabs.f64 p)))
(*.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 p #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 p))
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 p p) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 p p))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 p))))
(fabs.f64 (neg.f64 (neg.f64 p)))
(fabs.f64 (neg.f64 (fabs.f64 p)))
(fabs.f64 (neg.f64 p))
(fabs.f64 (fabs.f64 p))
(fabs.f64 p)
(exp.f64 (.f64 (log.f64 (.f64 p p)) #s(literal 1/2 binary64)))
r
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 r))) (sqrt.f64 (neg.f64 (neg.f64 r))))
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 r))) (sqrt.f64 (neg.f64 (fabs.f64 r))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 r)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 r)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 r)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 r)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 r #s(literal 1/2 binary64)) (pow.f64 r #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)))
(*.f64 (sqrt.f64 (fabs.f64 r)) (sqrt.f64 (fabs.f64 r)))
(*.f64 (sqrt.f64 r) (sqrt.f64 r))
(pow.f64 (.f64 (.f64 r r) (*.f64 r r)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 r r) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 r)))
(sqrt.f64 (*.f64 r r))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 r))))
(fabs.f64 (neg.f64 (neg.f64 r)))
(fabs.f64 (neg.f64 (fabs.f64 r)))
(fabs.f64 (neg.f64 r))
(fabs.f64 (fabs.f64 r))
(fabs.f64 r)
(exp.f64 (.f64 (log.f64 (.f64 r r)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 p r))) (fabs.f64 r))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p))) (fabs.f64 p))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 r) (fabs.f64 p))) (fabs.f64 p))
(/.f64 (+.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 r))) #s(literal 3 binary64))) (+.f64 (.f64 p p) (-.f64 (.f64 r r) (*.f64 (fabs.f64 p) (neg.f64 (neg.f64 (fabs.f64 r)))))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fabs.f64 p)) #s(literal 3 binary64))) (+.f64 (.f64 r r) (+.f64 (.f64 p p) (*.f64 (fabs.f64 r) (neg.f64 (fabs.f64 p))))))
(/.f64 (-.f64 (.f64 r r) (.f64 p p)) (-.f64 (fabs.f64 r) (fabs.f64 p)))
(/.f64 (-.f64 (.f64 p p) (.f64 r r)) (+.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r))))
(/.f64 (-.f64 (.f64 p p) (.f64 r r)) (-.f64 (fabs.f64 p) (fabs.f64 r)))
(/.f64 (+.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (fabs.f64 p) #s(literal 3 binary64))) (+.f64 (.f64 r r) (-.f64 (.f64 p p) (*.f64 (fabs.f64 r) (fabs.f64 p)))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fabs.f64 r)) #s(literal 3 binary64))) (+.f64 (.f64 p p) (+.f64 (.f64 r r) (*.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r))))))
(/.f64 (+.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (fabs.f64 r) #s(literal 3 binary64))) (+.f64 (.f64 p p) (-.f64 (.f64 r r) (*.f64 (fabs.f64 p) (fabs.f64 r)))))
(neg.f64 (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p)))
(-.f64 (fabs.f64 r) (neg.f64 (fabs.f64 p)))
(-.f64 (fabs.f64 p) (neg.f64 (fabs.f64 r)))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(+.f64 (fabs.f64 p) (neg.f64 (neg.f64 (fabs.f64 r))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 p) r)) r)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r)
(/.f64 (+.f64 (pow.f64 (neg.f64 p) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 r)) #s(literal 3 binary64))) (+.f64 (.f64 p p) (-.f64 (.f64 r r) (*.f64 (neg.f64 p) (neg.f64 (neg.f64 r))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 p) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (+.f64 (.f64 p p) (-.f64 (.f64 r r) (*.f64 (neg.f64 p) r))))
(/.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 p)) #s(literal 3 binary64))) (fma.f64 r r (+.f64 (.f64 p p) (.f64 r (neg.f64 (neg.f64 p))))))
(/.f64 (-.f64 (.f64 r r) (.f64 p p)) (-.f64 r (neg.f64 p)))
(/.f64 (-.f64 (.f64 r r) (.f64 p p)) (+.f64 r p))
(/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (neg.f64 p) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (.f64 p p) (.f64 r (neg.f64 p)))))
(/.f64 (-.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (fma.f64 r r (fma.f64 p p (*.f64 r p))))
(neg.f64 (-.f64 p r))
(-.f64 r (neg.f64 (neg.f64 p)))
(-.f64 r p)
(+.f64 (neg.f64 p) (neg.f64 (neg.f64 r)))
(+.f64 (neg.f64 p) r)
(+.f64 r (neg.f64 p))
q
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 q) q)) q)
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(.f64 (.f64 (*.f64 q q) (sqrt.f64 (/.f64 #s(literal 2 binary64) q))) (sqrt.f64 (/.f64 #s(literal 2 binary64) q)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) q) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) q) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) q) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) q) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) q) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) q))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) q) (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) q))
(.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) (.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) (*.f64 q q)))
(.f64 (/.f64 #s(literal 2 binary64) q) (.f64 q q))
(.f64 (.f64 q q) (/.f64 #s(literal 2 binary64) q))
(.f64 q (.f64 q (/.f64 #s(literal 2 binary64) q)))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) q) #s(literal 2 binary64))
(/.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) q) #s(literal 1 binary64)) (pow.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) q) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) q) #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) q)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (.f64 q q) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) q))) (sqrt.f64 (/.f64 #s(literal 2 binary64) q)))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) q)) (*.f64 q q))
(.f64 (.f64 (*.f64 q q) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) q))
(.f64 (.f64 (*.f64 (/.f64 #s(literal 2 binary64) q) q) q) #s(literal -1/2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) q) (.f64 (*.f64 q q) #s(literal -1/2 binary64)))
(.f64 (.f64 q q) (*.f64 (/.f64 #s(literal 2 binary64) q) #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (*.f64 (/.f64 #s(literal 2 binary64) q) q) q))
(neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (/.f64 #s(literal 2 binary64) q) q) q)))
(neg.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 2 binary64) q) q) q) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) q)) (*.f64 q q)))

eval154.0ms (3.1%)

Memory: 7.1MiB live, 294.3MiB allocated; 48ms collecting garbage
Compiler: Compiled 69 404 to 7 269 computations (89.5% saved)

prune94.0ms (1.9%)

Memory

-42.1MiB live, 102.2MiB allocated; 17ms collecting garbage

Pruning

55 alts after pruning (48 fresh and 7 done)

	Pruned	Kept	Total
New	1 189	21	1 210
Fresh	11	27	38
Picked	5	0	5
Done	-4	7	3
Total	1 201	55	1 256

Accuracy

73.5%

Counts

1 256 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 p (-.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))))
	28.2%	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64))
	38.0%	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (+.f64 q q))) #s(literal 1/2 binary64))
	18.8%	(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (.f64 (-.f64 r p) (-.f64 r p))))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p)))))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
✓	46.1%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (hypot.f64 (-.f64 r p) (+.f64 q q))) (sqrt.f64 (hypot.f64 (-.f64 r p) (+.f64 q q))))))
	41.1%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (hypot.f64 #s(approx (- r p) r) (+.f64 q q))) (sqrt.f64 (hypot.f64 #s(approx (- r p) r) (+.f64 q q))))))
	0.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 #s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (.f64 #s(literal -2 binary64) q))) (sqrt.f64 #s(approx (sqrt (+ ( (- r p) (- r p)) (* (+ q q) (+ q q)))) (*.f64 #s(literal -2 binary64) q))))))
	0.6%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 p (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))) #s(approx (sqrt (sqrt (+ ( (- r p) (- r p)) (* (+ q q) (+ q q))))) (*.f64 p (sqrt.f64 (/.f64 #s(literal 1 binary64) p)))))))
	0.6%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 #s(literal -1 binary64) (.f64 r (sqrt.f64 (/.f64 #s(literal -1 binary64) r))))) #s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 #s(literal -1 binary64) (.f64 r (sqrt.f64 (/.f64 #s(literal -1 binary64) r))))))))
	4.8%	(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 #s(literal -1 binary64) (.f64 p (sqrt.f64 (/.f64 #s(literal -1 binary64) p))))) #s(approx (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 #s(literal -1 binary64) (.f64 p (sqrt.f64 (/.f64 #s(literal -1 binary64) p))))))))
	29.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 (/.f64 #s(literal 2 binary64) q) (.f64 (*.f64 q q) #s(literal -1/2 binary64))))
	39.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 (.f64 (*.f64 (/.f64 #s(literal 2 binary64) q) q) q) #s(literal -1/2 binary64)))
	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) r)) #s(literal 2 binary64)))))
	0.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) r)) #s(literal 2 binary64)))))
	0.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
	15.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 q q))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
	28.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) q)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
	6.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64)))))
	38.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) q) (.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) q))))
	28.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 (*.f64 (log.f64 q) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) #s(literal 2 binary64)))))
	35.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) q)) #s(literal 2 binary64)))))
	38.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) #s(approx ( (pow q 2) (pow (sqrt (/ 2 q)) 2)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) q)) #s(literal 2 binary64)))))
	5.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 (/.f64 #s(literal 1 binary64) p) (.f64 (*.f64 p p) #s(literal -1/2 binary64))))
	0.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 (.f64 (.f64 (.f64 p p) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) p))) (sqrt.f64 (/.f64 #s(literal 1 binary64) p))))
	0.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) p))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
	0.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 p)) #s(literal 2 binary64)))))
	2.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 p p))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
	0.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 p) #s(literal -1 binary64)))) #s(literal 2 binary64)))))
	0.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 (*.f64 (log.f64 p) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64)))))
	0.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) #s(approx ( (pow p 2) (pow (sqrt (/ 1 p)) 2)) (pow.f64 (sqrt.f64 p) #s(literal 2 binary64)))))
	28.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) #s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r))))))
	18.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
	20.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	12.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 r)))) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64))))
✓	11.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r (fma.f64 (+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64))))
✓	10.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (fabs.f64 r) p) (/.f64 #s(literal 1 binary64) r) (/.f64 (fabs.f64 p) r))) #s(literal 1/2 binary64))))
	11.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) r p) 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)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (fabs.f64 r) p) r (.f64 (fabs.f64 p) r)) (.f64 r r))) #s(literal 1/2 binary64))))
	3.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 (fabs.f64 r) p) r (.f64 (fabs.f64 p) r)) (sqrt.f64 (.f64 (.f64 r r) (.f64 r r))))) #s(literal 1/2 binary64))))
	9.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (- ( 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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))))))))
	5.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (- ( 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2) #s(literal -1/2 binary64))))
	6.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (+ ( (+ (+ (fabs p) p) (fabs r)) (/ 1/2 r)) -1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 p r)))))
	37.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64))))
	2.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p)) #s(literal 1/2 binary64))))
	2.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	5.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	2.5%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
	2.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))))
	1.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
✓	39.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	12.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (fma.f64 #s(literal -1/2 binary64) r (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) p) r) r (fabs.f64 p))))))
	5.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (fma.f64 #s(literal -1/2 binary64) r (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) r) (.f64 (+.f64 (fabs.f64 r) p) r) (fabs.f64 p))))))
	11.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (fma.f64 #s(literal -1/2 binary64) r #s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (* -1 p))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
	3.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (fma.f64 #s(literal -1/2 binary64) r #s(approx (* 1/2 (- (+ (fabs p) (fabs r)) (* -1 p))) (*.f64 #s(literal 1/2 binary64) p)))))
	10.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (* 1/2 (+ (* (+ (fabs r) p) (/ 1 r)) (/ (fabs p) r))) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))))))

Compiler

Compiled 2 704 to 1 577 computations (41.7% saved)

regimes368.0ms (7.4%)

Memory

16.5MiB live, 680.3MiB allocated; 68ms collecting garbage

Counts

9 → 1

10 → 2

11 → 2

12 → 3

84 → 2

104 → 2

Calls

Call 1

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

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

Call 2

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

Outputs

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

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

Call 3

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

Call 4

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

Outputs

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

Call 5

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

Outputs

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

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

Call 6

Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (- ( 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2) #s(literal -1/2 binary64))))
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#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) r)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) r)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) r)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) r)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 p)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 (*.f64 (log.f64 p) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 (*.f64 (log.f64 q) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p)))) #s(literal 1/2 binary64)))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (hypot.f64 #s(approx (- r p) r) (+.f64 q q))) (sqrt.f64 (hypot.f64 #s(approx (- r p) r) (+.f64 q q))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p)))) #s(literal 1 binary64))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (.f64 (-.f64 r p) (-.f64 r p))))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 r p) (-.f64 r p)))))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) p))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (hypot.f64 #s(approx (- r p) r) (+.f64 q q))) (sqrt.f64 (hypot.f64 #s(approx (- r p) r) (+.f64 q q))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (hypot.f64 (-.f64 r p) (+.f64 q q))) (sqrt.f64 (hypot.f64 (-.f64 r p) (+.f64 q q))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p))))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p))))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (hypot.f64 (-.f64 r p) (+.f64 q q))) (sqrt.f64 (hypot.f64 (-.f64 r p) (+.f64 q q))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 p) #s(literal -1 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) q)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p))) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 p p))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (sqrt (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 q q))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p))))) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p)))))) (.f64 p p)) (-.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 p))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))))) (.f64 p p)) (-.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) (fabs.f64 p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))

Outputs

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

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

Calls

30 calls:

30.0ms	p
29.0ms	q
28.0ms	r
27.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
26.0ms	(-.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
39.1%	1	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
39.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
39.1%	1	`q`
39.1%	1	`p`
39.1%	1	`r`
39.1%	1	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
39.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
40.9%	2	`q`
39.1%	1	`(pow.f64 q #s(literal 2 binary64))`
39.1%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
44.5%	2	`(pow.f64 q #s(literal 2 binary64))`
44.5%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
44.5%	2	`q`
41.8%	2	`r`
41.4%	2	`p`
42.9%	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))))))`
42.9%	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)))))))`
45.5%	2	`(pow.f64 q #s(literal 2 binary64))`
45.5%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
47.5%	3	`q`
59.6%	2	`(pow.f64 q #s(literal 2 binary64))`
59.6%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
59.6%	2	`q`
60.5%	2	`(pow.f64 q #s(literal 2 binary64))`
60.5%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
58.9%	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))))))`
58.9%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
55.3%	3	`p`
50.3%	3	`r`
60.5%	2	`q`

Compiler

Compiled 5 129 to 773 computations (84.9% saved)

bsearch34.0ms (0.7%)

Memory

8.6MiB live, 53.0MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	3.3558016154926876e-48	3.665508275343696e-41

Samples

10.0ms	47×	2	valid
7.0ms	41×	1	valid
4.0ms	56×	0	valid

Compiler

Compiled 889 to 501 computations (43.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

adjust: 4.0ms (24.3% of total)

ival-pow2: 4.0ms (24.3% of total)

ival-sqrt: 2.0ms (12.1% of total)

ival-mult!: 2.0ms (12.1% of total)

ival-add!: 1.0ms (6.1% of total)

ival-sub!: 1.0ms (6.1% of total)

ival-fabs: 1.0ms (6.1% of total)

bsearch31.0ms (0.6%)

Memory

9.1MiB live, 54.1MiB allocated; 9ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	1.4552447506158855e-39	9.477935561822611e-36

Samples

10.0ms	34×	2	valid
7.0ms	45×	1	valid
4.0ms	49×	0	valid

Compiler

Compiled 793 to 496 computations (37.5% saved)

Precisions

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

adjust: 6.0ms (34.3% of total)

ival-pow2: 4.0ms (22.9% of total)

ival-sqrt: 2.0ms (11.4% of total)

ival-mult!: 2.0ms (11.4% of total)

ival-add!: 1.0ms (5.7% of total)

ival-sub!: 1.0ms (5.7% of total)

ival-fabs: 1.0ms (5.7% of total)

bsearch52.0ms (1.0%)

Memory

-16.3MiB live, 79.5MiB allocated; 19ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.3756119748303104e-121	2.74586181765291e-120
20.0ms	5.471947193478174e-198	1.3369944231523294e-197

Samples

13.0ms	59×	2	valid
10.0ms	78×	0	valid
9.0ms	55×	1	valid

Compiler

Compiled 1 139 to 793 computations (30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-pow2: 6.0ms (28.2% of total)

adjust: 5.0ms (23.5% of total)

ival-sqrt: 3.0ms (14.1% of total)

ival-mult!: 3.0ms (14.1% of total)

ival-add!: 2.0ms (9.4% of total)

ival-sub!: 2.0ms (9.4% of total)

ival-fabs: 2.0ms (9.4% of total)

bsearch1.0ms (0.0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.569233221186186e-242	3.015902848657657e-239

Compiler

Compiled 29 to 28 computations (3.4% saved)

bsearch23.0ms (0.5%)

Memory

38.1MiB live, 38.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	4.4823994786700296e-200	5.471947193478174e-198

Samples

7.0ms	33×	2	valid
5.0ms	33×	1	valid
4.0ms	46×	0	valid

Compiler

Compiled 508 to 395 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

adjust: 3.0ms (24.8% of total)

ival-pow2: 3.0ms (24.8% of total)

ival-sqrt: 2.0ms (16.6% of total)

ival-mult!: 2.0ms (16.6% of total)

ival-add!: 1.0ms (8.3% of total)

ival-sub!: 1.0ms (8.3% of total)

ival-fabs: 1.0ms (8.3% of total)

derivations169.0ms (3.4%)

Memory

4.8MiB live, 193.4MiB allocated; 29ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 531 to 107 computations (79.8% saved)

preprocess122.0ms (2.5%)

Memory: -7.4MiB live, 285.3MiB allocated; 81ms collecting garbage
Symmetry: (abs q)
Compiler: Compiled 3 099 to 1 274 computations (58.9% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample2.1s (41.3%)

preprocess28.0ms (0.6%)

sample0.0ms (0.0%)

series53.0ms (1.1%)

rewrite159.0ms (3.2%)

eval85.0ms (1.7%)

prune31.0ms (0.6%)

sample0.0ms (0.0%)

series125.0ms (2.5%)

rewrite188.0ms (3.8%)

eval175.0ms (3.5%)

prune59.0ms (1.2%)

sample0.0ms (0.0%)

series98.0ms (2.0%)

rewrite284.0ms (5.7%)

eval162.0ms (3.3%)

prune72.0ms (1.4%)

sample0.0ms (0.0%)

series111.0ms (2.2%)

rewrite232.0ms (4.7%)

eval154.0ms (3.1%)

prune94.0ms (1.9%)

regimes368.0ms (7.4%)

bsearch34.0ms (0.7%)

bsearch31.0ms (0.6%)

bsearch52.0ms (1.0%)

bsearch1.0ms (0.0%)

bsearch23.0ms (0.5%)

derivations169.0ms (3.4%)

preprocess122.0ms (2.5%)

end0.0ms (0.0%)

Profiling