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

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 24 to 20 computations (16.7% saved)

sample1.2s (42.6%)

Memory
21.9MiB live, 903.2MiB allocated; 164ms collecting garbage
Samples
906.0ms8 252×0valid
1.0ms1valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 652.0ms
ival-pow2: 189.0ms (29% of total)
ival-add: 138.0ms (21.2% of total)
ival-mult: 87.0ms (13.4% of total)
ival-fabs: 73.0ms (11.2% of total)
ival-div: 56.0ms (8.6% of total)
ival-sqrt: 51.0ms (7.8% of total)
ival-sub: 40.0ms (6.1% of total)
exact: 13.0ms (2% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain211.0ms (7.3%)

Memory
-29.9MiB live, 186.5MiB allocated; 29ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1490-1(2.2172563220776666e-156 3.5502821278099343e-187 -2.600828532843895e-270)(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
10-0-(*.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)))))))
00-0-q
00-0-(-.f64 p r)
00-0-(pow.f64 q #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(pow.f64 (-.f64 p r) #s(literal 2 binary64))
00-0-(fabs.f64 p)
00-0-(+.f64 (fabs.f64 p) (fabs.f64 r))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-(+.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))))))
00-0-#s(literal 4 binary64)
00-0-p
00-0-(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
00-0-(fabs.f64 r)
00-0-#s(literal 2 binary64)
00-0-r
00-0-(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))oflow-rescue1450
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))overflow146
(pow.f64 q #s(literal 2 binary64))overflow61
(pow.f64 (-.f64 p r) #s(literal 2 binary64))overflow108
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))overflow1
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))overflow61
sqrt.f64(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))uflow-rescue30
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))underflow3
(pow.f64 q #s(literal 2 binary64))underflow56
(pow.f64 (-.f64 p r) #s(literal 2 binary64))underflow12
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))underflow56
*.f64(*.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)))))))n*o10
Confusion
Predicted +Predicted -
+1491
-0106
Precision
1.0
Recall
0.9933333333333333
Confusion?
Predicted +Predicted MaybePredicted -
+14901
-00106
Precision?
1.0
Recall?
0.9933333333333333
Freqs
test
numberfreq
0107
1149
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
56.0ms512×0valid
Compiler

Compiled 220 to 58 computations (73.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-pow2: 9.0ms (25.4% of total)
ival-add: 6.0ms (17% of total)
ival-mult: 5.0ms (14.1% of total)
ival-fabs: 4.0ms (11.3% of total)
ival-sqrt: 4.0ms (11.3% of total)
ival-div: 3.0ms (8.5% of total)
ival-sub: 2.0ms (5.7% of total)
exact: 1.0ms (2.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess200.0ms (6.9%)

Memory
17.3MiB live, 112.2MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073205
1224204
2733204
33201204
46973204
01820
03120
15720
212220
330720
462220
5125320
6610020
0837815
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
Outputs
(*.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 (+.f64 (hypot.f64 (*.f64 q #s(literal -2 binary64)) (-.f64 r p)) (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64))
Symmetry

(abs q)

(sort p r)

Compiler

Compiled 22 to 18 computations (18.2% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.8%
(*.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)))))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

series37.0ms (1.3%)

Memory
-26.6MiB live, 22.7MiB allocated; 2ms collecting garbage
Counts
18 → 154
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(-.f64 p r)
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
#s(literal 4 binary64)
(pow.f64 q #s(literal 2 binary64))
q
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))))))
#s(approx (+ (fabs p) (fabs r)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (fabs p) #s(hole binary64 (fabs p)))
#s(approx p #s(hole binary64 p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow r 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2)))))
#s(approx (pow (- p r) 2) #s(hole binary64 (pow r 2)))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* -2 (* p r)) (pow r 2))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* p (+ p (* -2 r))) (pow r 2))))
#s(approx (- p r) #s(hole binary64 (* -1 r)))
#s(approx (- p r) #s(hole binary64 (- p r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (* -1 (/ r p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow p 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (* -2 (/ r p))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (pow r 2) (pow p 2))))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (pow p 2)))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (* -2 (/ r p))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2)))))))
#s(approx (- p r) #s(hole binary64 p))
#s(approx (- p r) #s(hole binary64 (* p (+ 1 (* -1 (/ r p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 p)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p))))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 p)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ r p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow r 2) p)) (* 2 r)) p))))))
#s(approx (- p r) #s(hole binary64 (* -1 (* p (- (/ r p) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))))))
#s(approx (fabs r) #s(hole binary64 (fabs r)))
#s(approx r #s(hole binary64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow p 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (+ (* r (+ r (* -2 p))) (pow p 2)))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* -2 (* p r)) (pow p 2))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* r (+ r (* -2 p))) (pow p 2))))
#s(approx (- p r) #s(hole binary64 (+ p (* -1 r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (* -1 (/ p r))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow r 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (* -2 (/ p r))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (+ (* 4 (/ (pow q 2) (pow r 2))) (/ (pow p 2) (pow r 2))))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (* -2 (/ p r))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (/ (pow p 2) (pow r 2)))))))
#s(approx (- p r) #s(hole binary64 (* r (- (/ p r) 1))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ p r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) r))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow p 2) r)) (* 2 p)) r))))))
#s(approx (- p r) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (fabs r))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) (- p r)))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- p r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* 2 (/ (pow q 2) (- p r)))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow (- p r) 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow (- p r) 2))))
#s(approx (* 4 (pow q 2)) #s(hole binary64 (* 4 (pow q 2))))
#s(approx (pow q 2) #s(hole binary64 (pow q 2)))
#s(approx q #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* 2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* 4 (pow q 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow q 2) (+ 4 (/ (pow (- p r) 2) (pow q 2))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))))
Calls

9 calls:

TimeVariablePointExpression
18.0ms
p
@inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) p (fabs r) r (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow (- p r) 2) (- p r) (* 4 (pow q 2)) 4 (pow q 2) q)
2.0ms
q
@0
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) p (fabs r) r (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow (- p r) 2) (- p r) (* 4 (pow q 2)) 4 (pow q 2) q)
2.0ms
p
@0
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) p (fabs r) r (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow (- p r) 2) (- p r) (* 4 (pow q 2)) 4 (pow q 2) q)
2.0ms
p
@-inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) p (fabs r) r (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow (- p r) 2) (- p r) (* 4 (pow q 2)) 4 (pow q 2) q)
2.0ms
q
@inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 1 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) p (fabs r) r (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow (- p r) 2) (- p r) (* 4 (pow q 2)) 4 (pow q 2) q)

rewrite181.0ms (6.3%)

Memory
-10.2MiB live, 128.8MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07535847
07725667
149165349
083894987
Stop Event
iter limit
node limit
iter limit
Counts
172 → 223
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(-.f64 p r)
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
#s(literal 4 binary64)
(pow.f64 q #s(literal 2 binary64))
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))))))
#s(approx (+ (fabs p) (fabs r)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (fabs p) #s(hole binary64 (fabs p)))
#s(approx p #s(hole binary64 p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow r 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2)))))
#s(approx (pow (- p r) 2) #s(hole binary64 (pow r 2)))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* -2 (* p r)) (pow r 2))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* p (+ p (* -2 r))) (pow r 2))))
#s(approx (- p r) #s(hole binary64 (* -1 r)))
#s(approx (- p r) #s(hole binary64 (- p r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (* -1 (/ r p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow p 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (* -2 (/ r p))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (pow r 2) (pow p 2))))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (pow p 2)))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (* -2 (/ r p))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2)))))))
#s(approx (- p r) #s(hole binary64 p))
#s(approx (- p r) #s(hole binary64 (* p (+ 1 (* -1 (/ r p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 p)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p))))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 p)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ r p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow r 2) p)) (* 2 r)) p))))))
#s(approx (- p r) #s(hole binary64 (* -1 (* p (- (/ r p) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))))))
#s(approx (fabs r) #s(hole binary64 (fabs r)))
#s(approx r #s(hole binary64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow p 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (+ (* r (+ r (* -2 p))) (pow p 2)))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* -2 (* p r)) (pow p 2))))
#s(approx (pow (- p r) 2) #s(hole binary64 (+ (* r (+ r (* -2 p))) (pow p 2))))
#s(approx (- p r) #s(hole binary64 (+ p (* -1 r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (* -1 (/ p r))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow r 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (* -2 (/ p r))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (+ (* 4 (/ (pow q 2) (pow r 2))) (/ (pow p 2) (pow r 2))))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (* -2 (/ p r))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (/ (pow p 2) (pow r 2)))))))
#s(approx (- p r) #s(hole binary64 (* r (- (/ p r) 1))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ p r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) r))))))
#s(approx (pow (- p r) 2) #s(hole binary64 (* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow p 2) r)) (* 2 p)) r))))))
#s(approx (- p r) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (fabs r))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) (- p r)))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- p r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* 2 (/ (pow q 2) (- p r)))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (pow (- p r) 2)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (+ (* 4 (pow q 2)) (pow (- p r) 2))))
#s(approx (* 4 (pow q 2)) #s(hole binary64 (* 4 (pow q 2))))
#s(approx (pow q 2) #s(hole binary64 (pow q 2)))
#s(approx q #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* 2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* 4 (pow q 2))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) #s(hole binary64 (* (pow q 2) (+ 4 (/ (pow (- p r) 2) (pow q 2))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))))
Outputs
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p)))
(fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 r p) (*.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 r p) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(+.f64 (*.f64 (+.f64 r p) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (+.f64 r p) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 r p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 r p) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (+.f64 r p) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 r p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 r p))
(+.f64 (+.f64 r p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(+.f64 p (+.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 p p) (*.f64 r r)) (-.f64 p r))
(/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 p p (-.f64 (*.f64 r r) (*.f64 r p))))
(+.f64 r p)
(+.f64 p r)
p
p
r
r
(pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 q #s(literal 6 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (-.f64 p r) #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 q #s(literal 6 binary64)))) (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(fma.f64 (exp.f64 (log.f64 (-.f64 p r))) (exp.f64 (log.f64 (-.f64 p r))) (*.f64 (*.f64 q q) #s(literal 4 binary64)))
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(fma.f64 (-.f64 p r) (-.f64 p r) (*.f64 (*.f64 q q) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 q q)))
(+.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))
(*.f64 (exp.f64 (log.f64 (-.f64 p r))) (exp.f64 (log.f64 (-.f64 p r))))
(*.f64 (-.f64 p r) (-.f64 p r))
(pow.f64 (exp.f64 (log.f64 (-.f64 p r))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 p r) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 p r)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 p r)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 p r)) #s(literal 2 binary64))))
(pow.f64 (-.f64 p r) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 p p) (*.f64 r r)) (+.f64 r p))
(/.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 p p (fma.f64 r r (*.f64 r p))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 p r) #s(literal -1 binary64)))
(-.f64 p r)
(exp.f64 (*.f64 (log.f64 (-.f64 p r)) #s(literal 1 binary64)))
(*.f64 (*.f64 q q) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 q q))
#s(literal 4 binary64)
(*.f64 (exp.f64 (log.f64 q)) (exp.f64 (log.f64 q)))
(*.f64 q q)
(pow.f64 (exp.f64 (log.f64 q)) #s(literal 2 binary64))
(pow.f64 (*.f64 q q) #s(literal 1 binary64))
(pow.f64 q #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 q #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 q) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 q) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 q) #s(literal 2 binary64))))
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r 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)))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r p)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -1/2 binary64)) (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r 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)))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) p)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -1/2 binary64)) r) #s(literal -1/2 binary64))) p (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r 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)))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) r) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -3/2 binary64)) (*.f64 (*.f64 r p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))))) p)) p (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r) p) #s(literal 1/2 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r) p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (+.f64 r p) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 r p)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (+.f64 r p) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) p)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 r) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -1/2 binary64)))) p (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))
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#s(approx (+ (fabs p) (fabs r)) (+.f64 r p))
#s(approx (fabs p) p)
#s(approx (fabs p) p)
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 r p)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
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#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal -2 binary64) (*.f64 r p) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) r p) p (*.f64 r r))))
#s(approx (pow (- p r) 2) (*.f64 r r))
#s(approx (pow (- p r) 2) (*.f64 (fma.f64 #s(literal -2 binary64) p r) r))
#s(approx (pow (- p r) 2) (fma.f64 (fma.f64 #s(literal -2 binary64) r p) p (*.f64 r r)))
#s(approx (- p r) (neg.f64 r))
#s(approx (- p r) (-.f64 p r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1 binary64) r r) p) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1 binary64) r r) p) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) (*.f64 p p))) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1 binary64) r r) p) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 q q) (/.f64 r (pow.f64 p #s(literal 3 binary64))) (/.f64 (*.f64 q q) (*.f64 p p)))) p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) p)
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 r p) #s(literal -1 binary64) (/.f64 (+.f64 r p) p)) #s(literal 1 binary64)) p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 q q) (*.f64 p p)) #s(literal 2 binary64) (/.f64 (+.f64 r p) p))) p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 q q) (/.f64 r (pow.f64 p #s(literal 3 binary64))) (/.f64 (*.f64 q q) (*.f64 p p))) (/.f64 (+.f64 r p) p))) p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) p)
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)) p))
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#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 p p))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 p p)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (+.f64 (fma.f64 (/.f64 r p) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 q q) (*.f64 p p)) #s(literal 4 binary64) (/.f64 (*.f64 r r) (*.f64 p p)))) #s(literal 1 binary64)) (*.f64 p p)))
#s(approx (pow (- p r) 2) (*.f64 p p))
#s(approx (pow (- p r) 2) (*.f64 (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 p p)))
#s(approx (pow (- p r) 2) (*.f64 (+.f64 (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 r r) (*.f64 p p))) (*.f64 p p)))
#s(approx (- p r) p)
#s(approx (- p r) (*.f64 (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r p) r) p) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (fma.f64 (+.f64 (+.f64 r p) r) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 q q) p))) p) #s(literal -1 binary64) #s(literal 1/2 binary64))))
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#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (neg.f64 p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (+.f64 r p) r) p) #s(literal -1 binary64) #s(literal 1 binary64))))
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#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (neg.f64 p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64))))
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#s(approx (pow (- p r) 2) (*.f64 (fma.f64 (/.f64 (fma.f64 r #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 r r) p))) p) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 p p)))
#s(approx (- p r) (*.f64 (neg.f64 p) (-.f64 (/.f64 r p) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) p) #s(literal 1/2 binary64)))
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#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))) r) p))
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#s(approx (fabs r) r)
#s(approx (fabs r) r)
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 r p)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))))
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#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal -2 binary64) (*.f64 r p) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) p r) r (*.f64 p p))))
#s(approx (pow (- p r) 2) (fma.f64 (*.f64 #s(literal -2 binary64) p) r (*.f64 p p)))
#s(approx (pow (- p r) 2) (fma.f64 (fma.f64 #s(literal -2 binary64) p r) r (*.f64 p p)))
#s(approx (- p r) (fma.f64 #s(literal -1 binary64) r p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1 binary64) p r) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1 binary64) p r) p) r) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 q q) (*.f64 r r))) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1 binary64) p r) p) r) #s(literal 1/2 binary64) (fma.f64 p (/.f64 (*.f64 q q) (pow.f64 r #s(literal 3 binary64))) (/.f64 (*.f64 q q) (*.f64 r r)))) #s(literal 1/2 binary64)) r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) r)
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 r p) r)) #s(literal 1 binary64)) r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 q q) (*.f64 r r)) #s(literal 2 binary64) (/.f64 (+.f64 r p) r))) r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 p (/.f64 (*.f64 q q) (pow.f64 r #s(literal 3 binary64))) (/.f64 (*.f64 q q) (*.f64 r r))) (/.f64 (+.f64 r p) r))) r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) r)
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 q q) (*.f64 r r)) #s(literal 2 binary64) (/.f64 (neg.f64 p) r)) #s(literal 1 binary64)) r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 p (/.f64 (*.f64 q q) (pow.f64 r #s(literal 3 binary64))) (/.f64 (*.f64 q q) (*.f64 r r))) (/.f64 (neg.f64 p) r)) #s(literal 1 binary64)) r))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 r r))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (fma.f64 (/.f64 p r) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 r r)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (+.f64 (fma.f64 (/.f64 p r) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 q q) (*.f64 r r)) #s(literal 4 binary64) (/.f64 (*.f64 p p) (*.f64 r r)))) #s(literal 1 binary64)) (*.f64 r r)))
#s(approx (pow (- p r) 2) (*.f64 (fma.f64 (/.f64 p r) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 r r)))
#s(approx (pow (- p r) 2) (*.f64 (+.f64 (fma.f64 (/.f64 p r) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 p p) (*.f64 r r))) (*.f64 r r)))
#s(approx (- p r) (*.f64 (-.f64 (/.f64 p r) #s(literal 1 binary64)) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) r) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (fma.f64 (fma.f64 p #s(literal 2 binary64) r) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 q q) r))) r) #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (fma.f64 (fma.f64 p #s(literal 2 binary64) r) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 q q (*.f64 p (/.f64 (*.f64 q q) r))) r))) r) #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (neg.f64 r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) r) r) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) r)) r) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 q q (*.f64 p (/.f64 (*.f64 q q) r)))) r) #s(literal -1 binary64) r)) r) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (neg.f64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) p) r) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 q q (*.f64 p (/.f64 (*.f64 q q) r)))) r) #s(literal -1 binary64) p) r) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) r))) r) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 r r)))
#s(approx (pow (- p r) 2) (*.f64 (fma.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 p p) r))) r) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 r r)))
#s(approx (- p r) (*.f64 (neg.f64 r) (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (fma.f64 p #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)))))) (fma.f64 (-.f64 (fma.f64 p #s(literal 2 binary64) r) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) (-.f64 p r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (fma.f64 (/.f64 (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 (-.f64 p r) #s(literal -1 binary64))) (*.f64 q q) (*.f64 (-.f64 (fma.f64 p #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)))))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 5 binary64))) (pow.f64 (-.f64 p r) #s(literal -3 binary64))) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal -1 binary64))) (*.f64 q q) (*.f64 (-.f64 (fma.f64 p #s(literal 2 binary64) r) r) #s(literal 1/2 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (fma.f64 p #s(literal 2 binary64) r) r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (fma.f64 p #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 q q) (-.f64 p r)) #s(literal 2 binary64) r)) r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (fma.f64 p #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 p r))) (*.f64 q q) r)) r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (fma.f64 p #s(literal 2 binary64) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 p r) #s(literal -3 binary64)))) (*.f64 q q) (/.f64 #s(literal 2 binary64) (-.f64 p r))) (*.f64 q q) r)) r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (-.f64 p r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (-.f64 (fma.f64 (/.f64 (*.f64 q q) (-.f64 p r)) #s(literal 2 binary64) p) r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 p r))) (*.f64 q q) p) r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 p r) #s(literal -3 binary64)))) (*.f64 q q) (/.f64 #s(literal 2 binary64) (-.f64 p r))) (*.f64 q q) p) r))
#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 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
#s(approx (* 4 (pow q 2)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))
#s(approx (pow q 2) (*.f64 q q))
#s(approx q q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 q q)) #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64))) #s(literal 1 binary64)) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 q q)) #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 q #s(literal 2 binary64)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (/.f64 (+.f64 r p) q) #s(literal 2 binary64)) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 q q)) #s(literal 1/4 binary64) (/.f64 (+.f64 r p) q)) #s(literal 2 binary64)) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.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))) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 q q)) #s(literal 1/4 binary64) (/.f64 (+.f64 r p) q))) #s(literal 2 binary64)) q))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 q q)) #s(literal 1/4 binary64) #s(literal 2 binary64)) q))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (+.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 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 q q))) #s(literal 2 binary64)) q))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (+.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))) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) #s(literal 1/512 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 q q)))) #s(literal 2 binary64)) q))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (*.f64 q q) #s(literal 4 binary64)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (+.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 q q)) #s(literal 4 binary64)) (*.f64 q q)))
#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 (neg.f64 q) (fma.f64 (/.f64 (+.f64 r p) q) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 q) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal -1/8 binary64) (*.f64 (+.f64 r p) #s(literal 1/2 binary64))) q) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 q) (fma.f64 (/.f64 (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 q q)) #s(literal -1/128 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q))) q) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -2 binary64) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 q) (fma.f64 (/.f64 (+.f64 r p) q) #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 q) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) r) p) q) #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 q) (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 q q)) #s(literal -1/64 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q) #s(literal -1 binary64) r) p) q) #s(literal -1 binary64) #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 (neg.f64 q) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 q q)) #s(literal 1/4 binary64) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.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 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 q q))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.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))) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) #s(literal 1/512 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 q q)))) #s(literal 2 binary64))))

eval28.0ms (1%)

Memory
31.7MiB live, 31.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 8 204 to 1 146 computations (86% saved)

prune124.0ms (4.3%)

Memory
5.4MiB live, 103.5MiB allocated; 6ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2174221
Fresh000
Picked011
Done000
Total2175222
Accuracy
99.3%
Counts
222 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.8%
(*.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)))))))
54.8%
(*.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 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r))))
53.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64))))))
47.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
40.2%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
Compiler

Compiled 144 to 113 computations (21.5% saved)

series31.0ms (1.1%)

Memory
-4.8MiB live, 42.9MiB allocated; 1ms collecting garbage
Counts
33 → 187
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
(*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q)
(fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 (+.f64 r p) q)
(+.f64 r p)
r
p
q
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
(fabs.f64 r)
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))
(*.f64 q #s(literal 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 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64))))))
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64))))
(*.f64 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)))
(neg.f64 p)
(fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64))
(/.f64 r p)
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r))))
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r))
(*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r)
(fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64))
(/.f64 p r)
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* q (+ 1 (* 1/2 (/ r q))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (+ (* 1/2 p) (* q (+ 1 (* 1/2 (/ r q)))))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (/ r q)))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (+ 1 (+ (* 1/2 (/ p q)) (* 1/2 (/ r q))))))
#s(approx (/ (+ r p) q) #s(hole binary64 (/ r q)))
#s(approx (/ (+ r p) q) #s(hole binary64 (+ (/ p q) (/ r q))))
#s(approx (+ r p) #s(hole binary64 r))
#s(approx (+ r p) #s(hole binary64 (+ p r)))
#s(approx p #s(hole binary64 p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))))))
#s(approx (+ (fabs p) (fabs r)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (fabs p) #s(hole binary64 (fabs p)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))))
#s(approx (* (neg p) (+ (* (/ r p) -1) 1)) #s(hole binary64 r))
#s(approx (* (neg p) (+ (* (/ r p) -1) 1)) #s(hole binary64 (+ r (* -1 p))))
#s(approx (neg p) #s(hole binary64 (* -1 p)))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 (* -1 (/ r p))))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 (/ (+ p (* -1 r)) p)))
#s(approx (/ r p) #s(hole binary64 (/ r p)))
#s(approx (* (+ (* (/ p r) -1) 1) r) #s(hole binary64 r))
#s(approx (* (+ (* (/ p r) -1) 1) r) #s(hole binary64 (+ r (* -1 p))))
#s(approx (+ (* (/ p r) -1) 1) #s(hole binary64 1))
#s(approx (+ (* (/ p r) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ p r)))))
#s(approx (/ p r) #s(hole binary64 (/ p r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* 1/2 p)))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* p (+ 1/2 (/ (* q (+ 1 (* 1/2 (/ r q)))) p)))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (* 1/2 (/ p q))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (* p (+ (* 1/2 (/ r (* p q))) (+ (/ 1 p) (* 1/2 (/ 1 q)))))))
#s(approx (/ (+ r p) q) #s(hole binary64 (/ p q)))
#s(approx (/ (+ r p) q) #s(hole binary64 (* p (+ (/ 1 q) (/ r (* p q))))))
#s(approx (+ r p) #s(hole binary64 p))
#s(approx (+ r p) #s(hole binary64 (* p (+ 1 (/ r p)))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (* -1 (/ r p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))))
#s(approx (* (neg p) (+ (* (/ r p) -1) 1)) #s(hole binary64 (* -1 p)))
#s(approx (* (neg p) (+ (* (/ r p) -1) 1)) #s(hole binary64 (* p (- (/ r p) 1))))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 1))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ r p)))))
#s(approx (* (+ (* (/ p r) -1) 1) r) #s(hole binary64 (* -1 p)))
#s(approx (* (+ (* (/ p r) -1) 1) r) #s(hole binary64 (* p (- (/ r p) 1))))
#s(approx (+ (* (/ p r) -1) 1) #s(hole binary64 (* -1 (/ p r))))
#s(approx (+ (* (/ p r) -1) 1) #s(hole binary64 (* p (- (/ 1 p) (/ 1 r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* -1 (* p (- (* -1 (/ (* q (+ 1 (* 1/2 (/ r q)))) p)) 1/2)))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (* -1 (* p (- (* -1 (/ (+ 1 (* 1/2 (/ r q))) p)) (* 1/2 (/ 1 q)))))))
#s(approx (/ (+ r p) q) #s(hole binary64 (* -1 (* p (- (* -1 (/ r (* p q))) (/ 1 q))))))
#s(approx (+ r p) #s(hole binary64 (* -1 (* p (- (* -1 (/ r p)) 1)))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 p)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p))))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 p)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ r p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))))
#s(approx (* (neg p) (+ (* (/ r p) -1) 1)) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ r p)))))))
#s(approx (* (+ (* (/ p r) -1) 1) r) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ r p)))))))
#s(approx (+ (* (/ p r) -1) 1) #s(hole binary64 (* -1 (* p (- (/ 1 r) (/ 1 p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* q (+ 1 (* 1/2 (/ p q))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (+ (* 1/2 r) (* q (+ 1 (* 1/2 (/ p q)))))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (/ p q)))))
#s(approx r #s(hole binary64 r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))))))
#s(approx (fabs r) #s(hole binary64 (fabs r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))))
#s(approx (+ (* (/ p r) -1) 1) #s(hole binary64 (/ (+ r (* -1 p)) r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* 1/2 r)))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* r (+ 1/2 (/ (* q (+ 1 (* 1/2 (/ p q)))) r)))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (* 1/2 (/ r q))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (* r (+ (* 1/2 (/ p (* q r))) (+ (* 1/2 (/ 1 q)) (/ 1 r))))))
#s(approx (/ (+ r p) q) #s(hole binary64 (* r (+ (/ 1 q) (/ p (* q r))))))
#s(approx (+ r p) #s(hole binary64 (* r (+ 1 (/ p r)))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (* -1 (/ p r))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))))
#s(approx (* (neg p) (+ (* (/ r p) -1) 1)) #s(hole binary64 (* r (+ 1 (* -1 (/ p r))))))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 (* r (- (/ 1 r) (/ 1 p)))))
#s(approx (* (+ (* (/ p r) -1) 1) r) #s(hole binary64 (* r (+ 1 (* -1 (/ p r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* q (+ 1 (* 1/2 (/ p q)))) r)) 1/2)))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (* -1 (* r (- (* -1 (/ (+ 1 (* 1/2 (/ p q))) r)) (* 1/2 (/ 1 q)))))))
#s(approx (/ (+ r p) q) #s(hole binary64 (* -1 (* r (- (* -1 (/ p (* q r))) (/ 1 q))))))
#s(approx (+ r p) #s(hole binary64 (* -1 (* r (- (* -1 (/ p r)) 1)))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ p r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))))
#s(approx (* (neg p) (+ (* (/ r p) -1) 1)) #s(hole binary64 (* -1 (* r (- (/ p r) 1)))))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 (* -1 (* r (- (/ 1 p) (/ 1 r))))))
#s(approx (* (+ (* (/ p r) -1) 1) r) #s(hole binary64 (* -1 (* r (- (/ p r) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* 1/2 (+ p r))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (+ q (* 1/2 (+ p r)))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (* 1/2 (/ (+ p r) q))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (/ (+ q (* 1/2 (+ p r))) q)))
#s(approx (/ (+ r p) q) #s(hole binary64 (/ (+ p r) q)))
#s(approx q #s(hole binary64 q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (fabs r))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) (- p r)))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- p r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* 2 (/ (pow q 2) (- p r)))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r)))
#s(approx (* q 2) #s(hole binary64 (* 2 q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 q))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* q (+ 1 (* 1/2 (/ (+ p r) q))))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (/ (+ p r) q)))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* 2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* -1 (* q (- (* -1/2 (/ (+ p r) q)) 1)))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
p
@-inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ r p) q) 1/2) 1) q) (+ (* (/ (+ r p) q) 1/2) 1) (/ (+ r p) q) (+ r p) r p q 1/2 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) (fabs r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* q 2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (neg p) (+ (* (/ r p) -1) 1)) (neg p) (+ (* (/ r p) -1) 1) (/ r p) -1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (+ (* (/ p r) -1) 1) r) (+ (* (/ p r) -1) 1) (/ p r))
4.0ms
p
@0
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ r p) q) 1/2) 1) q) (+ (* (/ (+ r p) q) 1/2) 1) (/ (+ r p) q) (+ r p) r p q 1/2 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) (fabs r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* q 2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (neg p) (+ (* (/ r p) -1) 1)) (neg p) (+ (* (/ r p) -1) 1) (/ r p) -1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (+ (* (/ p r) -1) 1) r) (+ (* (/ p r) -1) 1) (/ p r))
3.0ms
r
@0
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ r p) q) 1/2) 1) q) (+ (* (/ (+ r p) q) 1/2) 1) (/ (+ r p) q) (+ r p) r p q 1/2 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) (fabs r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* q 2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (neg p) (+ (* (/ r p) -1) 1)) (neg p) (+ (* (/ r p) -1) 1) (/ r p) -1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (+ (* (/ p r) -1) 1) r) (+ (* (/ p r) -1) 1) (/ p r))
3.0ms
r
@-inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ r p) q) 1/2) 1) q) (+ (* (/ (+ r p) q) 1/2) 1) (/ (+ r p) q) (+ r p) r p q 1/2 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) (fabs r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* q 2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (neg p) (+ (* (/ r p) -1) 1)) (neg p) (+ (* (/ r p) -1) 1) (/ r p) -1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (+ (* (/ p r) -1) 1) r) (+ (* (/ p r) -1) 1) (/ p r))
3.0ms
p
@inf
((* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (/ (+ r p) q) 1/2) 1) q) (+ (* (/ (+ r p) q) 1/2) 1) (/ (+ r p) q) (+ r p) r p q 1/2 1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (/ 1 2) 2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+ (fabs p) (fabs r)) (fabs p) (fabs r) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* q 2) (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (neg p) (+ (* (/ r p) -1) 1)) (neg p) (+ (* (/ r p) -1) 1) (/ r p) -1 (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (* (+ (* (/ p r) -1) 1) r) (+ (* (/ p r) -1) 1) (/ p r))

rewrite187.0ms (6.4%)

Memory
-28.4MiB live, 207.0MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08396476
08766255
152226219
081895898
Stop Event
iter limit
node limit
iter limit
Counts
220 → 324
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
(*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q)
(fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 (+.f64 r p) q)
(+.f64 r p)
r
p
q
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
(fabs.f64 r)
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))
(*.f64 q #s(literal 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 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64))))))
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64))))
(*.f64 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)))
(neg.f64 p)
(fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64))
(/.f64 r p)
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r))))
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r))
(*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r)
(fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64))
(/.f64 p r)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* q (+ 1 (* 1/2 (/ r q))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (+ (* 1/2 p) (* q (+ 1 (* 1/2 (/ r q)))))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (/ r q)))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (+ 1 (+ (* 1/2 (/ p q)) (* 1/2 (/ r q))))))
#s(approx (/ (+ r p) q) #s(hole binary64 (/ r q)))
#s(approx (/ (+ r p) q) #s(hole binary64 (+ (/ p q) (/ r q))))
#s(approx (+ r p) #s(hole binary64 r))
#s(approx (+ r p) #s(hole binary64 (+ p r)))
#s(approx p #s(hole binary64 p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))))))
#s(approx (+ (fabs p) (fabs r)) #s(hole binary64 (+ (fabs p) (fabs r))))
#s(approx (fabs p) #s(hole binary64 (fabs p)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* p (+ (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* p (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow r 2)) 3))))))))))))
#s(approx (* (neg p) (+ (* (/ r p) -1) 1)) #s(hole binary64 r))
#s(approx (* (neg p) (+ (* (/ r p) -1) 1)) #s(hole binary64 (+ r (* -1 p))))
#s(approx (neg p) #s(hole binary64 (* -1 p)))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 (* -1 (/ r p))))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 (/ (+ p (* -1 r)) p)))
#s(approx (/ r p) #s(hole binary64 (/ r p)))
#s(approx (* (+ (* (/ p r) -1) 1) r) #s(hole binary64 r))
#s(approx (* (+ (* (/ p r) -1) 1) r) #s(hole binary64 (+ r (* -1 p))))
#s(approx (+ (* (/ p r) -1) 1) #s(hole binary64 1))
#s(approx (+ (* (/ p r) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ p r)))))
#s(approx (/ p r) #s(hole binary64 (/ p r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (/ (pow q 2) (pow p 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* p (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 r))) p)) (+ (/ (* (pow q 2) r) (pow p 3)) (/ (pow q 2) (pow p 2))))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* 1/2 p)))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* p (+ 1/2 (/ (* q (+ 1 (* 1/2 (/ r q)))) p)))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (* 1/2 (/ p q))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (* p (+ (* 1/2 (/ r (* p q))) (+ (/ 1 p) (* 1/2 (/ 1 q)))))))
#s(approx (/ (+ r p) q) #s(hole binary64 (/ p q)))
#s(approx (/ (+ r p) q) #s(hole binary64 (* p (+ (/ 1 q) (/ r (* p q))))))
#s(approx (+ r p) #s(hole binary64 p))
#s(approx (+ r p) #s(hole binary64 (* p (+ 1 (/ r p)))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (/ (fabs p) p) (/ (fabs r) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (+ (* 2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 p))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (* -1 (/ r p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))))
#s(approx (* (neg p) (+ (* (/ r p) -1) 1)) #s(hole binary64 (* -1 p)))
#s(approx (* (neg p) (+ (* (/ r p) -1) 1)) #s(hole binary64 (* p (- (/ r p) 1))))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 1))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 (+ 1 (* -1 (/ r p)))))
#s(approx (* (+ (* (/ p r) -1) 1) r) #s(hole binary64 (* -1 p)))
#s(approx (* (+ (* (/ p r) -1) 1) r) #s(hole binary64 (* p (- (/ r p) 1))))
#s(approx (+ (* (/ p r) -1) 1) #s(hole binary64 (* -1 (/ p r))))
#s(approx (+ (* (/ p r) -1) 1) #s(hole binary64 (* p (- (/ 1 p) (/ 1 r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* p (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* (pow q 2) r) p) (pow q 2)) p)) (* 1/2 (+ r (+ (fabs p) (fabs r))))) p)))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* -1 (* p (- (* -1 (/ (* q (+ 1 (* 1/2 (/ r q)))) p)) 1/2)))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (* -1 (* p (- (* -1 (/ (+ 1 (* 1/2 (/ r q))) p)) (* 1/2 (/ 1 q)))))))
#s(approx (/ (+ r p) q) #s(hole binary64 (* -1 (* p (- (* -1 (/ r (* p q))) (/ 1 q))))))
#s(approx (+ r p) #s(hole binary64 (* -1 (* p (- (* -1 (/ r p)) 1)))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 p)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (fabs r))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p))))) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))))) p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 p)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ r p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))))
#s(approx (* (neg p) (+ (* (/ r p) -1) 1)) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ r p)))))))
#s(approx (* (+ (* (/ p r) -1) 1) r) #s(hole binary64 (* -1 (* p (+ 1 (* -1 (/ r p)))))))
#s(approx (+ (* (/ p r) -1) 1) #s(hole binary64 (* -1 (* p (- (/ 1 r) (/ 1 p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* -1/2 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* -1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/4 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* q (+ 1 (* 1/2 (/ p q))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (+ (* 1/2 r) (* q (+ 1 (* 1/2 (/ p q)))))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (/ p q)))))
#s(approx r #s(hole binary64 r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (+ (fabs p) (+ (fabs r) (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))))))
#s(approx (fabs r) #s(hole binary64 (fabs r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* r (+ (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* r (+ (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* (* p (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))) (sqrt (/ 1 (pow (+ (* 4 (pow q 2)) (pow p 2)) 3))))))))))))
#s(approx (+ (* (/ p r) -1) 1) #s(hole binary64 (/ (+ r (* -1 p)) r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (/ (pow q 2) (pow r 2)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* r (+ 1/2 (+ (* 1/2 (/ (+ (fabs p) (+ (fabs r) (* -1 p))) r)) (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* 1/2 r)))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* r (+ 1/2 (/ (* q (+ 1 (* 1/2 (/ p q)))) r)))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (* 1/2 (/ r q))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (* r (+ (* 1/2 (/ p (* q r))) (+ (* 1/2 (/ 1 q)) (/ 1 r))))))
#s(approx (/ (+ r p) q) #s(hole binary64 (* r (+ (/ 1 q) (/ p (* q r))))))
#s(approx (+ r p) #s(hole binary64 (* r (+ 1 (/ p r)))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (/ (fabs p) r) (/ (fabs r) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (+ (* 2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (* -1 (/ p r))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))))
#s(approx (* (neg p) (+ (* (/ r p) -1) 1)) #s(hole binary64 (* r (+ 1 (* -1 (/ p r))))))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 (* r (- (/ 1 r) (/ 1 p)))))
#s(approx (* (+ (* (/ p r) -1) 1) r) #s(hole binary64 (* r (+ 1 (* -1 (/ p r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1/2 r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (/ (* p (pow q 2)) r) (pow q 2)) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* q (+ 1 (* 1/2 (/ p q)))) r)) 1/2)))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (* -1 (* r (- (* -1 (/ (+ 1 (* 1/2 (/ p q))) r)) (* 1/2 (/ 1 q)))))))
#s(approx (/ (+ r p) q) #s(hole binary64 (* -1 (* r (- (* -1 (/ p (* q r))) (/ 1 q))))))
#s(approx (+ r p) #s(hole binary64 (* -1 (* r (- (* -1 (/ p r)) 1)))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))))) r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ p r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))))
#s(approx (* (neg p) (+ (* (/ r p) -1) 1)) #s(hole binary64 (* -1 (* r (- (/ p r) 1)))))
#s(approx (+ (* (/ r p) -1) 1) #s(hole binary64 (* -1 (* r (- (/ 1 p) (/ 1 r))))))
#s(approx (* (+ (* (/ p r) -1) 1) r) #s(hole binary64 (* -1 (* r (- (/ p r) 1)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (/ (pow q 2) (- p r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* -1 (/ (pow q 2) (pow (- p r) 3))) (/ 1 (- p r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (+ (* 1/2 (- (+ p (+ (fabs p) (fabs r))) r)) (* (pow q 2) (+ (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* 1/2 (+ p r))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (+ q (* 1/2 (+ p r)))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (* 1/2 (/ (+ p r) q))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (/ (+ q (* 1/2 (+ p r))) q)))
#s(approx (/ (+ r p) q) #s(hole binary64 (/ (+ p r) q)))
#s(approx q #s(hole binary64 q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (fabs r))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) (- p r)))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) r)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (- (+ p (+ (fabs p) (+ (fabs r) (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- p r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* 2 (/ (pow q 2) (- p r)))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (- (+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r)))))) r)))
#s(approx (* q 2) #s(hole binary64 (* 2 q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* q (+ 1 (+ (* -1/128 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 q))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* q (+ 1 (* 1/2 (/ (+ p r) q))))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (/ (+ p r) q)))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* 2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (/ (fabs p) q) (/ (fabs r) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* 2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1/2 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(hole binary64 (* -1 (* q (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (pow (- p r) 4) (pow q 2))) (* 1/8 (pow (- p r) 2))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)))))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) #s(hole binary64 (* -1 (* q (- (* -1/2 (/ (+ p r) q)) 1)))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -2 q)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (fabs r)) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow (- p r) 2) q)))) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(hole binary64 (* -1 (* q (+ 2 (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (+ (* -1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -2 q)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) #s(hole binary64 (* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (* 1/512 (/ (pow (- p r) 6) (pow q 6))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))))))
Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
(*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q)
(*.f64 q (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 q #s(literal 1 binary64) (*.f64 q (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) q (*.f64 (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64)) q))
(+.f64 (*.f64 #s(literal 1 binary64) q) (*.f64 (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64)) q))
(+.f64 (*.f64 q #s(literal 1 binary64)) (*.f64 q (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 r p) q) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 r p) q) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 r p) q) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (fma.f64 (/.f64 p q) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 r q) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 p q) #s(literal 2 binary64)) (pow.f64 (/.f64 r q) #s(literal 2 binary64))) (-.f64 (/.f64 p q) (/.f64 r q)))
(/.f64 (+.f64 (pow.f64 (/.f64 p q) #s(literal 3 binary64)) (pow.f64 (/.f64 r q) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 p q) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 r q) #s(literal 2 binary64)) (*.f64 (/.f64 p q) (/.f64 r q)))))
(/.f64 (neg.f64 (+.f64 r p)) (neg.f64 q))
(/.f64 (fma.f64 q p (*.f64 q r)) (*.f64 q q))
(/.f64 (+.f64 r p) q)
(+.f64 (/.f64 p q) (/.f64 r q))
(+.f64 (/.f64 r q) (/.f64 p q))
(/.f64 (-.f64 (*.f64 r r) (*.f64 p p)) (-.f64 r p))
(/.f64 (-.f64 (*.f64 p p) (*.f64 r r)) (-.f64 p r))
(/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (fma.f64 r r (-.f64 (*.f64 p p) (*.f64 r p))))
(/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 p p (-.f64 (*.f64 r r) (*.f64 r p))))
(+.f64 r p)
(+.f64 p r)
r
p
q
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
(fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) #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) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(+.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))))
(+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))) (+.f64 (fabs.f64 r) (fabs.f64 p)))
(+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64))))
(+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fabs.f64 p) #s(literal 2 binary64)) (pow.f64 (fabs.f64 r) #s(literal 2 binary64))) (-.f64 (fabs.f64 p) (fabs.f64 r)))
(/.f64 (+.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (fabs.f64 r) #s(literal 3 binary64))) (fma.f64 (fabs.f64 p) (fabs.f64 p) (-.f64 (pow.f64 (fabs.f64 r) #s(literal 2 binary64)) (*.f64 (fabs.f64 p) (fabs.f64 r)))))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 p p))
(fabs.f64 (neg.f64 p))
(fabs.f64 p)
(exp.f64 (/.f64 (*.f64 (log.f64 p) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 r r) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 r r))
(fabs.f64 (neg.f64 r))
(fabs.f64 r)
(exp.f64 (/.f64 (*.f64 (log.f64 r) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))
(*.f64 q #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) q)
(+.f64 q q)
(*.f64 (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 p))) (+.f64 (fabs.f64 r) (fabs.f64 p))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 p))) (+.f64 (fabs.f64 r) (fabs.f64 p))))
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#s(approx (+ r p) p)
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#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) p)
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#s(approx r r)
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#s(approx (+ (* (/ (+ r p) q) 1/2) 1) (*.f64 (/.f64 r q) #s(literal 1/2 binary64)))
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#s(approx (+ r p) (*.f64 (+.f64 (/.f64 p r) #s(literal 1 binary64)) r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) r)
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)) #s(literal 1 binary64)) r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (*.f64 q q) (*.f64 r r)) #s(literal 2 binary64) (/.f64 (neg.f64 p) r)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)) #s(literal 1 binary64)) r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 p (/.f64 (*.f64 q q) (pow.f64 r #s(literal 3 binary64))) (/.f64 (*.f64 q q) (*.f64 r r))) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r))) #s(literal 1 binary64)) r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) r)
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 q q) (*.f64 r r)) #s(literal 2 binary64) (/.f64 (neg.f64 p) r)) #s(literal 1 binary64)) r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 p (/.f64 (*.f64 q q) (pow.f64 r #s(literal 3 binary64))) (/.f64 (*.f64 q q) (*.f64 r r))) (/.f64 (neg.f64 p) r)) #s(literal 1 binary64)) r))
#s(approx (* (neg p) (+ (* (/ r p) -1) 1)) (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r))
#s(approx (+ (* (/ r p) -1) 1) (*.f64 (-.f64 (pow.f64 r #s(literal -1 binary64)) (pow.f64 p #s(literal -1 binary64))) r))
#s(approx (* (+ (* (/ p r) -1) 1) r) (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 q q) r))) r) #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (fma.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 q q (*.f64 p (/.f64 (*.f64 q q) r))) r))) r) #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) (*.f64 (neg.f64 r) (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 (/.f64 p q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q) r)) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) (*.f64 (neg.f64 r) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 p q) #s(literal 1/2 binary64) #s(literal 1 binary64)) r)) (/.f64 #s(literal 1/2 binary64) q))))
#s(approx (/ (+ r p) q) (*.f64 (neg.f64 r) (-.f64 (/.f64 (neg.f64 p) (*.f64 q r)) (pow.f64 q #s(literal -1 binary64)))))
#s(approx (+ r p) (*.f64 (neg.f64 r) (-.f64 (/.f64 (neg.f64 p) r) #s(literal 1 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (neg.f64 r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fabs.f64 r))) r) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 q q (*.f64 p (/.f64 (*.f64 q q) r)))) r) #s(literal -1 binary64) (fabs.f64 r))) r) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (neg.f64 r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) p) r) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 r) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 q q (*.f64 p (/.f64 (*.f64 q q) r)))) r) #s(literal -1 binary64) p) r) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (* (neg p) (+ (* (/ r p) -1) 1)) (*.f64 (neg.f64 r) (-.f64 (/.f64 p r) #s(literal 1 binary64))))
#s(approx (+ (* (/ r p) -1) 1) (*.f64 (neg.f64 r) (-.f64 (pow.f64 p #s(literal -1 binary64)) (pow.f64 r #s(literal -1 binary64)))))
#s(approx (* (+ (* (/ p r) -1) 1) r) (*.f64 (neg.f64 r) (-.f64 (/.f64 p r) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) (-.f64 p r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 (-.f64 p r) #s(literal -1 binary64))) (*.f64 q q))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r) #s(literal 1/2 binary64) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 q q) #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 5 binary64))) (pow.f64 (-.f64 p r) #s(literal -3 binary64))) (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal -1 binary64))) (*.f64 q q))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) (*.f64 (+.f64 r p) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) (*.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) (/.f64 (fma.f64 (+.f64 r p) #s(literal 1/2 binary64) q) q))
#s(approx (/ (+ r p) q) (/.f64 (+.f64 r p) q))
#s(approx q q)
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fabs.f64 r)) r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fma.f64 (/.f64 (*.f64 q q) (-.f64 p r)) #s(literal 2 binary64) (fabs.f64 r))) r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fma.f64 (fma.f64 (/.f64 (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 p r))) (*.f64 q q) (fabs.f64 r))) r))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (+.f64 p (fabs.f64 p)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 p r) #s(literal -3 binary64)))) (*.f64 q q) (/.f64 #s(literal 2 binary64) (-.f64 p r))) (*.f64 q q) (fabs.f64 r))) r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (-.f64 p r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (-.f64 (fma.f64 (/.f64 (*.f64 q q) (-.f64 p r)) #s(literal 2 binary64) p) r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 p r))) (*.f64 q q) p) r))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 q q) (pow.f64 (-.f64 p r) #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 p r) #s(literal -3 binary64)))) (*.f64 q q) (/.f64 #s(literal 2 binary64) (-.f64 p r))) (*.f64 q q) p) r))
#s(approx (* q 2) (*.f64 q #s(literal 2 binary64)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 q q)) #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64))) #s(literal 1 binary64)) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 q q)) #s(literal 1/8 binary64) (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) q))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) q)
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (+ r p) q) 1/2) 1) (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 q #s(literal 2 binary64)))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64)) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 q q)) #s(literal 1/4 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q)) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (+.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))) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 q q)) #s(literal 1/4 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q))) #s(literal 2 binary64)) q))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 q q)) #s(literal 1/4 binary64) #s(literal 2 binary64)) q))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (+.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 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 q q))) #s(literal 2 binary64)) q))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (+.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))) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) #s(literal 1/512 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 q q)))) #s(literal 2 binary64)) q))
#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 (neg.f64 q) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 q) (fma.f64 (/.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal -1/8 binary64))) q) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 q) (fma.f64 (/.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 q q)) #s(literal -1/128 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q))) q) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (* (+ (* (/ (+ r p) q) 1/2) 1) q) (*.f64 (neg.f64 q) (-.f64 (*.f64 (/.f64 (+.f64 r p) q) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -2 binary64) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 q) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 q) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (fabs.f64 r)) (fabs.f64 p)) q) #s(literal -1 binary64) #s(literal 2 binary64))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (neg.f64 q) (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 q q)) #s(literal -1/64 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q) #s(literal -1 binary64) (fabs.f64 r)) (fabs.f64 p)) q) #s(literal -1 binary64) #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 (neg.f64 q) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 q q)) #s(literal 1/4 binary64) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.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 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 q q))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.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))) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) #s(literal 1/512 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 q q)))) #s(literal 2 binary64))))

eval52.0ms (1.8%)

Memory
9.9MiB live, 61.3MiB allocated; 7ms collecting garbage
Compiler

Compiled 15 291 to 1 586 computations (89.6% saved)

prune309.0ms (10.7%)

Memory
-1.7MiB live, 238.5MiB allocated; 8ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3890389
Fresh000
Picked044
Done011
Total3895394
Accuracy
99.3%
Counts
394 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.8%
(*.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)))))))
54.8%
(*.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 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r))))
53.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64))))))
47.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
40.2%
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
Compiler

Compiled 288 to 170 computations (41% saved)

regimes15.0ms (0.5%)

Memory
19.6MiB live, 19.6MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 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 q #s(literal 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 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r))))
(*.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
(*.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 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(*.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 q #s(literal 2 binary64)))))
Calls

7 calls:

2.0ms
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
2.0ms
r
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
2.0ms
q
2.0ms
p
Results
AccuracySegmentsBranch
77.3%3(pow.f64 q #s(literal 2 binary64))
77.3%3(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
71.1%2(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
71.1%2(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
74.4%3p
72.1%4r
77.3%3q
Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes6.0ms (0.2%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 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 q #s(literal 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 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r))))
Outputs
(*.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 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
Calls

3 calls:

2.0ms
q
2.0ms
(pow.f64 q #s(literal 2 binary64))
2.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
76.3%3(pow.f64 q #s(literal 2 binary64))
76.3%3(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
76.3%3q
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes6.0ms (0.2%)

Memory
-40.8MiB live, 6.9MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 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 q #s(literal 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 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64))))))
Outputs
(*.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 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))
Calls

3 calls:

2.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
2.0ms
q
1.0ms
(pow.f64 q #s(literal 2 binary64))
Results
AccuracySegmentsBranch
73.9%2(pow.f64 q #s(literal 2 binary64))
73.9%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
73.9%2q
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes9.0ms (0.3%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 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 q #s(literal 2 binary64)))))
Outputs
(*.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 q #s(literal 2 binary64)))))
Calls

7 calls:

1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
1.0ms
p
1.0ms
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
1.0ms
q
1.0ms
r
Results
AccuracySegmentsBranch
47.3%1r
47.3%1(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
47.3%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
47.3%1p
47.3%1(pow.f64 q #s(literal 2 binary64))
47.3%1(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
47.3%1q
Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes7.0ms (0.3%)

Memory
12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

7 calls:

1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
1.0ms
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
1.0ms
q
1.0ms
r
1.0ms
p
Results
AccuracySegmentsBranch
40.2%1(pow.f64 q #s(literal 2 binary64))
40.2%1(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
40.2%1(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
40.2%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
40.2%1p
40.2%1r
40.2%1q
Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch28.0ms (1%)

Memory
-23.6MiB live, 23.8MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.3966871610742482e+131
2.311603951091412e+131
15.0ms
5.037336270318645e-13
4.663383894195921e-11
Samples
17.0ms176×0valid
Compiler

Compiled 595 to 503 computations (15.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-pow2: 3.0ms (25.8% of total)
ival-add: 2.0ms (17.2% of total)
ival-mult: 2.0ms (17.2% of total)
ival-fabs: 2.0ms (17.2% of total)
ival-div: 1.0ms (8.6% of total)
ival-sub: 1.0ms (8.6% of total)
ival-sqrt: 1.0ms (8.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch42.0ms (1.4%)

Memory
37.1MiB live, 37.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
8.787332884371666e+108
4.505147704750033e+114
17.0ms
3.377169302985159e-5
0.01843689377432049
Samples
25.0ms272×0valid
Compiler

Compiled 1 042 to 855 computations (17.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-pow2: 4.0ms (22.4% of total)
ival-add: 3.0ms (16.8% of total)
ival-mult: 3.0ms (16.8% of total)
ival-div: 2.0ms (11.2% of total)
ival-fabs: 2.0ms (11.2% of total)
ival-sqrt: 2.0ms (11.2% of total)
ival-sub: 1.0ms (5.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch24.0ms (0.8%)

Memory
-27.9MiB live, 21.1MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
5.262820089383236e+48
2.5532364748901675e+54
Samples
15.0ms144×0valid
Compiler

Compiled 547 to 456 computations (16.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sqrt: 3.0ms (26% of total)
ival-add: 2.0ms (17.3% of total)
ival-pow2: 2.0ms (17.3% of total)
ival-div: 1.0ms (8.7% of total)
ival-mult: 1.0ms (8.7% of total)
ival-fabs: 1.0ms (8.7% of total)
ival-sub: 1.0ms (8.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify36.0ms (1.2%)

Memory
27.8MiB live, 27.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069304
1105304
2208304
3679304
43044304
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 q #s(literal 8120886657712095/9903520314283042199192993792 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 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)))))) (if (<=.f64 q #s(literal 195000000000000000575886015244117682655631131755201386141682340398872284651689533313946678417208242906928414662381785079770624557056 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))))))) (*.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 q #s(literal 2 binary64)))))))
(if (<=.f64 q #s(literal 8762203435012037/2305843009213693952 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 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)))))) (if (<=.f64 q #s(literal 25000000000000000388985403236671075606705034923026535834244264510770844529118892581624634747876186191905157021696 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 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))))
(if (<=.f64 q #s(literal 2100000000000000118686791794651006040950293756116992 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 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 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 q #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))
Outputs
(if (<=.f64 q #s(literal 8120886657712095/9903520314283042199192993792 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 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)))))) (if (<=.f64 q #s(literal 195000000000000000575886015244117682655631131755201386141682340398872284651689533313946678417208242906928414662381785079770624557056 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))))))) (*.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 q #s(literal 2 binary64)))))))
(if (<=.f64 q #s(literal 8762203435012037/2305843009213693952 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 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)))))) (if (<=.f64 q #s(literal 25000000000000000388985403236671075606705034923026535834244264510770844529118892581624634747876186191905157021696 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 (fma.f64 (/.f64 p r) #s(literal -1 binary64) #s(literal 1 binary64)) r)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 2 binary64)))))))
(if (<=.f64 q #s(literal 2100000000000000118686791794651006040950293756116992 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 (neg.f64 p) (fma.f64 (/.f64 r p) #s(literal -1 binary64) #s(literal 1 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 q #s(literal 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 q #s(literal 2 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 r p) q) #s(literal 1/2 binary64) #s(literal 1 binary64)) q))

derivations83.0ms (2.9%)

Memory
-14.4MiB live, 33.3MiB allocated; 1ms collecting garbage
Stop Event
done
Compiler

Compiled 306 to 72 computations (76.5% saved)

preprocess46.0ms (1.6%)

Memory
0.4MiB live, 47.6MiB allocated; 2ms collecting garbage
Compiler

Compiled 1 008 to 356 computations (64.7% saved)

end0.0ms (0%)

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

Profiling

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