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

Time bar (total: 7.8s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
1.1MiB live, 1.2MiB 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)

sample2.5s (32.1%)

Memory
49.1MiB live, 3 097.6MiB allocated; 569ms collecting garbage
Samples
906.0ms3 174×1valid
803.0ms2 229×2valid
329.0ms2 853×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-pow2: 404.0ms (24.7% of total)
adjust: 397.0ms (24.3% of total)
ival-sub: 205.0ms (12.5% of total)
ival-mult: 184.0ms (11.3% of total)
ival-add: 158.0ms (9.7% of total)
ival-sqrt: 118.0ms (7.2% of total)
ival-fabs: 87.0ms (5.3% of total)
ival-div: 59.0ms (3.6% of total)
exact: 12.0ms (0.7% of total)
ival-true: 6.0ms (0.4% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain318.0ms (4.1%)

Memory
4.2MiB live, 442.5MiB allocated; 45ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1470-1(4.289759691887787e-246 1.7393575676823947e-245 2.6104877687704716e-159)(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
1350-0-(-.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-q
00-0-(*.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-(-.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-#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-rescue1430
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))overflow143
(pow.f64 q #s(literal 2 binary64))overflow60
(pow.f64 (-.f64 p r) #s(literal 2 binary64))overflow104
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))overflow60
-.f64(-.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))))))cancellation1350
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))underflow59
(pow.f64 (-.f64 p r) #s(literal 2 binary64))underflow20
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))underflow59
Confusion
Predicted +Predicted -
+2021
-053
Precision
1.0
Recall
0.9950738916256158
Confusion?
Predicted +Predicted MaybePredicted -
+20201
-0053
Precision?
1.0
Recall?
0.9950738916256158
Freqs
test
numberfreq
054
1123
279
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
82.0ms160×2valid
46.0ms192×1valid
18.0ms160×0valid
Compiler

Compiled 220 to 58 computations (73.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
adjust: 50.0ms (44.8% of total)
ival-pow2: 16.0ms (14.3% of total)
ival-mult: 10.0ms (9% of total)
ival-sub: 9.0ms (8.1% of total)
ival-add: 9.0ms (8.1% of total)
ival-sqrt: 8.0ms (7.2% of total)
ival-fabs: 4.0ms (3.6% of total)
ival-div: 3.0ms (2.7% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess191.0ms (2.5%)

Memory
9.8MiB live, 154.4MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069187
1157184
2443184
31698184
45434184
01820
03120
15020
29520
322720
444720
595820
6548920
0822715
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 (fabs.f64 r) (fabs.f64 p)) (hypot.f64 (*.f64 q #s(literal -2 binary64)) (-.f64 r p))) #s(literal 1/2 binary64))
Symmetry

(abs q)

(sort p r)

Compiler

Compiled 22 to 18 computations (18.2% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.8%
(*.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)

simplify185.0ms (2.4%)

Memory
-7.1MiB live, 129.8MiB allocated; 22ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.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)))))))
cost-diff1
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff4
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01893
03193
15093
29593
322793
444793
595893
6548993
0822777
Stop Event
iter limit
node limit
iter 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)))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(-.f64 p r)
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
#s(literal 4 binary64)
(pow.f64 q #s(literal 2 binary64))
q
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.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 (fabs.f64 r) (fabs.f64 p)) (hypot.f64 (*.f64 q #s(literal -2 binary64)) (-.f64 r p))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 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 (+.f64 (fabs.f64 r) (fabs.f64 p)) (hypot.f64 (*.f64 q #s(literal -2 binary64)) (-.f64 r p)))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(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)))))
(hypot.f64 (*.f64 q #s(literal -2 binary64)) (-.f64 r p))
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #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)))
(*.f64 (*.f64 q q) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 q #s(literal 2 binary64))
(*.f64 q q)
q

localize77.0ms (1%)

Memory
8.2MiB live, 99.4MiB allocated; 9ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
accuracy0.015625
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
accuracy31.423557099876643
(-.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))))))
accuracy33.9952762963629
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
Samples
27.0ms80×2valid
22.0ms96×1valid
11.0ms80×0valid
Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
adjust: 11.0ms (26.9% of total)
ival-pow2: 8.0ms (19.6% of total)
ival-mult: 5.0ms (12.2% of total)
ival-add: 5.0ms (12.2% of total)
ival-sub: 4.0ms (9.8% of total)
ival-sqrt: 4.0ms (9.8% of total)
ival-div: 2.0ms (4.9% of total)
ival-fabs: 2.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Counts
7 → 128
Calls
Call 1
Inputs
(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))
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(-.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))))))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
Outputs
(sqrt (+ (* 4 (pow q 2)) (pow r 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (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)))))))))
(+ (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))))))))))
(+ (* 4 (pow q 2)) (pow r 2))
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2)))
(+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 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))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 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))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* -1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(pow r 2)
(+ (* -2 (* p r)) (pow r 2))
(+ (* p (+ p (* -2 r))) (pow r 2))
p
(* p (+ 1 (* -1 (/ r p))))
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))
(pow p 2)
(* (pow p 2) (+ 1 (* -2 (/ r p))))
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (pow r 2) (pow p 2))))))
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* -1 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))))
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2)))))
(* -1 (* p (+ 1 (* -1 (/ r p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p))))
(* 1/2 p)
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) r) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)))) r) p)) 1)))
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow r 2) p)) (* 2 r)) p))))
(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (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)))))))))
(+ (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))))))))))
(+ (* 4 (pow q 2)) (pow p 2))
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2)))
(+ (* 4 (pow q 2)) (+ (* r (+ r (* -2 p))) (pow p 2)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 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))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 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))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(+ (* -2 (* p r)) (pow p 2))
(+ (* r (+ r (* -2 p))) (pow p 2))
r
(* r (+ 1 (* -1 (/ p r))))
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* (pow r 2) (+ 1 (* -2 (/ p r))))
(* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (+ (* 4 (/ (pow q 2) (pow r 2))) (/ (pow p 2) (pow r 2))))))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) (+ 1 (* -1 (/ p r)))))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* -1 (/ p r)))))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))))
(* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (/ (pow p 2) (pow r 2)))))
(* -1 (* r (+ 1 (* -1 (/ p r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) r))))
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1)))
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow p 2) r)) (* 2 p)) r))))
(- p r)
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r)
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)
(- (+ 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)
(pow (- p r) 2)
(+ (* 4 (pow q 2)) (pow (- p r) 2))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(- (+ r (+ (fabs p) (fabs r))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) (- p r)))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) p)
(- (+ r (+ (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)))))))) p)
(* 4 (pow q 2))
(* 2 q)
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* 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)))))))
(* (pow q 2) (+ 4 (/ (pow (- p r) 2) (pow q 2))))
(* -1 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(* -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))))))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2)))
Calls

9 calls:

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

simplify149.0ms (1.9%)

Memory
-25.0MiB live, 118.1MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06203242
120443049
082632841
Stop Event
iter limit
node limit
Counts
128 → 125
Calls
Call 1
Inputs
(sqrt (+ (* 4 (pow q 2)) (pow r 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (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)))))))))
(+ (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))))))))))
(+ (* 4 (pow q 2)) (pow r 2))
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2)))
(+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 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))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 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))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* -1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(pow r 2)
(+ (* -2 (* p r)) (pow r 2))
(+ (* p (+ p (* -2 r))) (pow r 2))
p
(* p (+ 1 (* -1 (/ r p))))
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))
(pow p 2)
(* (pow p 2) (+ 1 (* -2 (/ r p))))
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (pow r 2) (pow p 2))))))
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* -1 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))))
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2)))))
(* -1 (* p (+ 1 (* -1 (/ r p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p))))
(* 1/2 p)
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) r) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)))) r) p)) 1)))
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow r 2) p)) (* 2 r)) p))))
(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))
(+ (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)))))))))
(+ (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))))))))))
(+ (* 4 (pow q 2)) (pow p 2))
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2)))
(+ (* 4 (pow q 2)) (+ (* r (+ r (* -2 p))) (pow p 2)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 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))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 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))))))))))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* -1/2 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ (fabs p) (+ (fabs r) (* r (- (* r (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))) (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2)))))))) (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(+ (* -2 (* p r)) (pow p 2))
(+ (* r (+ r (* -2 p))) (pow p 2))
r
(* r (+ 1 (* -1 (/ p r))))
(* r (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -1 (/ p r)) (+ (* 2 (/ (* p (pow q 2)) (pow r 3))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* (pow r 2) (+ 1 (* -2 (/ p r))))
(* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (+ (* 4 (/ (pow q 2) (pow r 2))) (/ (pow p 2) (pow r 2))))))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) (+ 1 (* -1 (/ p r)))))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* -1 (/ p r)))))
(* r (- (+ (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (+ (* -1 (/ p r)) (* 2 (/ (pow q 2) (pow r 2)))))))
(* (pow r 2) (+ 1 (+ (* -2 (/ p r)) (/ (pow p 2) (pow r 2)))))
(* -1 (* r (+ 1 (* -1 (/ p r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -2 (/ (pow q 2) r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (* -1 (/ (+ (* 2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r))) r)))))
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow p 2)) r)) (* 2 p)) r))))
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1)))
(* (pow r 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow p 2) r)) (* 2 p)) r))))
(- p r)
(- (+ p (* 2 (/ (pow q 2) (- p r)))) r)
(- (+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) r)
(- (+ 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)
(pow (- p r) 2)
(+ (* 4 (pow q 2)) (pow (- p r) 2))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(- (+ r (+ (fabs p) (fabs r))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) (- p r)))))) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) p)
(- (+ r (+ (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)))))))) p)
(* 4 (pow q 2))
(* 2 q)
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* 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)))))))
(* (pow q 2) (+ 4 (/ (pow (- p r) 2) (pow q 2))))
(* -1 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(* -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))))))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2)))
Outputs
(sqrt (+ (* 4 (pow q 2)) (pow r 2)))
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow r 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(fma.f64 (*.f64 (neg.f64 r) p) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r 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)))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (neg.f64 r))) p (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r 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))))))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (neg.f64 r)) (*.f64 (*.f64 #s(literal 1/2 binary64) p) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 r p)) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))))) p (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(+ (* 4 (pow q 2)) (pow r 2))
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow r 2)))
(fma.f64 (fma.f64 #s(literal -2 binary64) p r) r (*.f64 (*.f64 q q) #s(literal 4 binary64)))
(+ (* 4 (pow q 2)) (+ (* p (+ p (* -2 r))) (pow r 2)))
(fma.f64 (fma.f64 #s(literal -2 binary64) p r) r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 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))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) #s(literal 1/2 binary64))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 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))))))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 (*.f64 p #s(literal -1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 r p)) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(- (+ (fabs p) (+ (fabs r) (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* -1/2 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) (neg.f64 r))) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(- (+ (fabs p) (+ (fabs r) (* p (- (* p (- (* -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))))) (* 1/2 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))) (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (*.f64 r p)) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))) p (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) r)) p (+.f64 (fabs.f64 r) (fabs.f64 p))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(pow r 2)
(*.f64 r r)
(+ (* -2 (* p r)) (pow r 2))
(*.f64 (fma.f64 #s(literal -2 binary64) p r) r)
(+ (* p (+ p (* -2 r))) (pow r 2))
(fma.f64 (fma.f64 #s(literal -2 binary64) p r) r (*.f64 p p))
p
(* p (+ 1 (* -1 (/ r p))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 r p)) p)
(* p (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2))))))
(fma.f64 (neg.f64 p) (/.f64 (fma.f64 (/.f64 (*.f64 q q) p) #s(literal -2 binary64) r) p) p)
(* p (+ 1 (+ (* -1 (/ r p)) (+ (* 2 (/ (* (pow q 2) r) (pow p 3))) (* 2 (/ (pow q 2) (pow p 2)))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (*.f64 (/.f64 r (pow.f64 p #s(literal 3 binary64))) (*.f64 q q))) #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 r p))) p)
(pow p 2)
(*.f64 p p)
(* (pow p 2) (+ 1 (* -2 (/ r p))))
(*.f64 (*.f64 (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 1 binary64)) p) p)
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (+ (* 4 (/ (pow q 2) (pow p 2))) (/ (pow r 2) (pow p 2))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) (*.f64 p p)) (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 p p))
(* -1/2 p)
(*.f64 #s(literal -1/2 binary64) p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) p)
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (neg.f64 q) q) (*.f64 p p)) #s(literal 1/2 binary64))) p)
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(*.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (/.f64 q p) (/.f64 q p) (*.f64 (/.f64 r (pow.f64 p #s(literal 3 binary64))) (*.f64 q q))))) #s(literal 1/2 binary64)) p)
(* -1 p)
(neg.f64 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) (+ 1 (* -1 (/ r p)))))
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1 binary64)) p)
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* -1 (/ r p)))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) p) (/.f64 (*.f64 q q) p) (-.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1 binary64))) p)
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))))
(*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) q) q) (/.f64 r (pow.f64 p #s(literal 3 binary64))) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 q q) p) #s(literal -2 binary64) r) p))) p)
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2)))))
(*.f64 (fma.f64 (/.f64 r p) (/.f64 r p) (fma.f64 (/.f64 r p) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 p p))
(* -1 (* p (+ 1 (* -1 (/ r p)))))
(*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 r p)))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -2 (/ (pow q 2) p))) p)))))
(*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 q q) p) #s(literal -2 binary64) r) p)))
(* -1 (* p (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* 2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p))) p)))))
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 q q (*.f64 r (/.f64 (*.f64 q q) p))) p) (neg.f64 r)) p) p p))
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow q 2)) (pow r 2)) p)) (* 2 r)) p))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) r (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) (neg.f64 p))) p)) p) p)
(* 1/2 p)
(*.f64 #s(literal 1/2 binary64) p)
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(*.f64 (neg.f64 p) (-.f64 (/.f64 (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) (neg.f64 p)) #s(literal 1/2 binary64)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(*.f64 (neg.f64 p) (-.f64 (/.f64 (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 q q (*.f64 r (/.f64 (*.f64 q q) p)))) p)) (neg.f64 p)) #s(literal 1/2 binary64)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1)))
(*.f64 (neg.f64 p) (-.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) (neg.f64 p)) #s(literal 1 binary64)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) r) p)) 1)))
(*.f64 (neg.f64 p) (-.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 q q) p) #s(literal 2 binary64) (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) (neg.f64 p)) #s(literal 1 binary64)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* (pow q 2) r) p)) (* 2 (pow q 2))) p)))) r) p)) 1)))
(*.f64 (neg.f64 p) (-.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 q q (*.f64 r (/.f64 (*.f64 q q) p))) p) (fabs.f64 r)) (-.f64 (fabs.f64 p) r)) (neg.f64 p)) #s(literal 1 binary64)))
(* (pow p 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow r 2) p)) (* 2 r)) p))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) r (/.f64 (*.f64 (neg.f64 r) r) p)) p)) p) p)
(sqrt (+ (* 4 (pow q 2)) (pow p 2)))
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))
(+ (sqrt (+ (* 4 (pow q 2)) (pow p 2))) (* -1 (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))
(fma.f64 (*.f64 (neg.f64 r) p) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))
(+ (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)))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) r) (-.f64 #s(literal 1 binary64) (*.f64 p (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) (neg.f64 p))) r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))
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(* -1 q)
(neg.f64 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(*.f64 (-.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q)) #s(literal 1 binary64)) q)
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) q) (-.f64 (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q)) #s(literal 1 binary64))) q)
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) q) (/.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64))))) #s(literal 1 binary64)) q)
(* -2 q)
(*.f64 #s(literal -2 binary64) q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(*.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64)) q)
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal 2 binary64))) q)
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (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 (fabs.f64 r) (fabs.f64 p)) q)) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) q)
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(*.f64 (neg.f64 q) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64)))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(*.f64 (neg.f64 q) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 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))))))))
(*.f64 (neg.f64 q) (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1/64 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 q #s(literal 6 binary64)))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(*.f64 (-.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))) (neg.f64 q)) #s(literal 1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 q))) (neg.f64 q)) #s(literal 1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) q) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/4 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) q) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2)))
(*.f64 (-.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal -1/4 binary64))) q)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))

rewrite51.0ms (0.7%)

Memory
2.4MiB live, 48.0MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01872
03172
111472
080768
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
7 → 81
Calls
Call 1
Inputs
(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))
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(-.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))))))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
Outputs
(*.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 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))
(/.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 (hypot.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (-.f64 p r) #s(literal 4 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)))
#s(literal 1/2 binary64)
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(*.f64 (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fabs.f64 (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)))) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) #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 (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)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 q q)) #s(literal 3 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 #s(literal -4 binary64) (*.f64 q q))))))
(/.f64 (neg.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)))) (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 q q) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (-.f64 p r) #s(literal 4 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 (fma.f64 (pow.f64 (*.f64 q q) #s(literal 3 binary64)) #s(literal 64 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 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 q q)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 q q) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (-.f64 p r) #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) q) q (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (-.f64 p r)) (neg.f64 (-.f64 p r)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))
(fma.f64 (fabs.f64 (-.f64 p r)) (fabs.f64 (-.f64 p r)) (*.f64 (*.f64 q q) #s(literal 4 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 q (*.f64 q #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 q q) (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)))
(sqrt.f64 (*.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (fma.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 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #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 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (*.f64 (neg.f64 (-.f64 p r)) (-.f64 p r)))
(-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 q q)) #s(literal 4 binary64)))
(-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 q q)))
(+.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (pow.f64 (-.f64 p r) #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (pow.f64 (-.f64 p r) #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 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (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 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (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 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 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))) #s(literal 1/2 binary64)) (+.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 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 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 p) #s(literal 1/2 binary64) (*.f64 (-.f64 (fabs.f64 r) (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) (fabs.f64 p) (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(+.f64 (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 r) (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 #s(literal 1/2 binary64) (fabs.f64 p)) (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.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 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))) (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fabs.f64 p) #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 p p (-.f64 (*.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (*.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (neg.f64 (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 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)))) (neg.f64 (+.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 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 (fabs.f64 r) (fabs.f64 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 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 r) (sqrt.f64 r) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 (fabs.f64 r) (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 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))) (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 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 (fabs.f64 r) (fabs.f64 p)) #s(literal 3 binary64)) (+.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 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 3/2 binary64)) (+.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64)))))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(+.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (fabs.f64 p))
(+.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (-.f64 p r)) (neg.f64 (-.f64 p r)))
(*.f64 (fabs.f64 (-.f64 p r)) (fabs.f64 (-.f64 p r)))
(*.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 (*.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (-.f64 p r)) (+.f64 r p))
(/.f64 (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (-.f64 p r)) (fma.f64 r (+.f64 r p) (*.f64 p p)))
(/.f64 (*.f64 (-.f64 p r) (*.f64 (+.f64 r p) (-.f64 p r))) (+.f64 r p))
(/.f64 (*.f64 (-.f64 p r) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (fma.f64 r (+.f64 r p) (*.f64 p p)))
(/.f64 (*.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (*.f64 (+.f64 r p) (-.f64 p r))) (*.f64 (+.f64 r p) (+.f64 r p)))
(/.f64 (*.f64 (*.f64 (+.f64 r p) (-.f64 p r)) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (*.f64 (+.f64 r p) (fma.f64 r (+.f64 r p) (*.f64 p p))))
(/.f64 (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (*.f64 (+.f64 r p) (-.f64 p r))) (*.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) (+.f64 r p)))
(/.f64 (*.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64)))) (*.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) (fma.f64 r (+.f64 r p) (*.f64 p p))))
(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))))
(*.f64 (*.f64 #s(literal 4 binary64) q) q)
(*.f64 (*.f64 q q) #s(literal 4 binary64))
(*.f64 q (*.f64 q #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 q q))

eval54.0ms (0.7%)

Memory
-18.7MiB live, 45.1MiB allocated; 16ms collecting garbage
Compiler

Compiled 8 356 to 1 144 computations (86.3% saved)

prune15.0ms (0.2%)

Memory
24.8MiB live, 24.8MiB allocated; 0ms collecting garbage
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New18717204
Fresh000
Picked101
Done000
Total18817205
Accuracy
73.9%
Counts
205 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.4%
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 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))) #s(literal 1/2 binary64)) (+.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64))))
20.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
14.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 #s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) q) #s(literal 4 binary64)) (*.f64 q q))))))
32.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
21.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (*.f64 q q) r) (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64))) r)))
19.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))))
16.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (*.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
19.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
20.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
15.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
30.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 (/.f64 (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) (neg.f64 p)) #s(literal 1/2 binary64))))
35.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
2.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
6.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
5.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
2.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
33.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
Compiler

Compiled 1 326 to 908 computations (31.5% saved)

simplify169.0ms (2.2%)

Memory
-1.6MiB live, 187.2MiB allocated; 23ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))))
cost-diff1
(fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))
cost-diff4
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
cost-diff0
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
cost-diff0
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
cost-diff4
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) r)
cost-diff0
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
cost-diff0
(neg.f64 q)
cost-diff0
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
cost-diff0
(-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
cost-diff0
(neg.f64 p)
cost-diff0
(*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053582
082582
1155582
2389582
31227582
44593582
08170517
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(neg.f64 p)
p
(-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64))
(/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)
(+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p))
(-.f64 (fabs.f64 r) r)
(fabs.f64 r)
r
(fabs.f64 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)))))) (neg.f64 q))
(neg.f64 q)
q
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
(*.f64 #s(literal 1/2 binary64) r)
#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 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(fabs.f64 r)
r
(fabs.f64 p)
p
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))
(*.f64 q q)
q
#s(literal 4 binary64)
(*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
#s(literal 1 binary64)
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))
(*.f64 q q)
q
#s(literal 4 binary64)
(*.f64 r r)
r
(fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))
(*.f64 #s(literal -1/4 binary64) p)
#s(literal -1/4 binary64)
p
(-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
(*.f64 #s(literal 1/2 binary64) r)
#s(literal 1/2 binary64)
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(fabs.f64 r)
(fabs.f64 p)
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) 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 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) p) (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p)))) #s(literal 1/2 binary64)) (neg.f64 p)))
(*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) p) (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p)))) #s(literal 1/2 binary64)) (neg.f64 p))
(neg.f64 p)
p
(-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) p) (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) p) (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))))
(/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)
(/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p)
(+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p))
(-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p)))
(-.f64 (fabs.f64 r) r)
(fabs.f64 r)
r
(fabs.f64 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)))))) (neg.f64 q))
(neg.f64 q)
q
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) r)
(*.f64 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 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (*.f64 q #s(literal 2 binary64)) r)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
(*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (*.f64 q #s(literal 2 binary64)) r)) #s(literal 1/2 binary64))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (*.f64 q #s(literal 2 binary64)) r))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 r)
r
(fabs.f64 p)
p
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
(hypot.f64 (*.f64 q #s(literal 2 binary64)) r)
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))
(*.f64 q q)
q
#s(literal 4 binary64)
(*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) p) (fma.f64 (*.f64 (fma.f64 (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r #s(literal -1 binary64)) p) #s(literal 1/4 binary64) (*.f64 r #s(literal 1/2 binary64))) (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (*.f64 q #s(literal 2 binary64)) r)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) p) (fma.f64 (*.f64 (fma.f64 (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r #s(literal -1 binary64)) p) #s(literal 1/4 binary64) (*.f64 r #s(literal 1/2 binary64))) (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (*.f64 q #s(literal 2 binary64)) r)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r #s(literal -1 binary64)) p) #s(literal 1/4 binary64) (*.f64 r #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
#s(literal 1 binary64)
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))
(*.f64 q q)
q
#s(literal 4 binary64)
(*.f64 r r)
r
(fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))
(fma.f64 (*.f64 (fma.f64 (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r #s(literal -1 binary64)) p) #s(literal 1/4 binary64) (*.f64 r #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/4 binary64) p)
#s(literal -1/4 binary64)
p
(-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r))
(*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(*.f64 (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r)
(/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
(*.f64 #s(literal 1/2 binary64) r)
(*.f64 r #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
(*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (*.f64 q #s(literal 2 binary64)) r)) #s(literal 1/2 binary64))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (*.f64 q #s(literal 2 binary64)) r))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 r)
(fabs.f64 p)
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
(hypot.f64 (*.f64 q #s(literal 2 binary64)) r)

localize291.0ms (3.7%)

Memory
-3.5MiB live, 272.1MiB allocated; 32ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy18.981880992930297
(/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
accuracy22.97840886757299
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
accuracy29.042057516325666
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
accuracy29.27845054338056
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
accuracy0.00390625
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))
accuracy22.97840886757299
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
accuracy29.042057516325666
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
accuracy36.861780275429346
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) r)
accuracy62.21138445315107
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
accuracy0.0
(neg.f64 q)
accuracy42.58752531612272
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
accuracy0.0
(fabs.f64 p)
accuracy4.325106532953762
(*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
accuracy9.436087489064935
(-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
accuracy33.2410048160272
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
Samples
120.0ms129×2valid
52.0ms59×0valid
45.0ms67×1valid
1.0ms3valid
Compiler

Compiled 522 to 51 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 138.0ms
adjust: 37.0ms (26.8% of total)
ival-mult: 32.0ms (23.1% of total)
ival-add: 18.0ms (13% of total)
ival-div: 17.0ms (12.3% of total)
ival-sub: 11.0ms (8% of total)
ival-sqrt: 10.0ms (7.2% of total)
ival-pow2: 8.0ms (5.8% of total)
ival-fabs: 2.0ms (1.4% of total)
ival-neg: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series51.0ms (0.6%)

Memory
-4.5MiB live, 40.9MiB allocated; 6ms collecting garbage
Counts
19 → 198
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(neg.f64 p)
(-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) 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)))))) (neg.f64 q))
(neg.f64 q)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
(*.f64 #s(literal 1/2 binary64) r)
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(fabs.f64 p)
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
Outputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 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))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 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))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(* -1 p)
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p))
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(* 1/2 r)
(+ (* -1/4 (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 r))
(fabs p)
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* 1/2 p)
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))))
-1/2
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)
(* -1/4 (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ (* -1/4 (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (/ r p))))
(* -1/4 (* (* (pow p 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* (pow p 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))
(* (pow p 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) (pow p 2))))))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (+ (* -1/2 (/ r p)) (* 1/4 (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))))
(* (pow p 2) (+ (* -1 (/ (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))) p)) (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 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))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 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))))))))))
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)))
(+ (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))) (* -1/2 r))
(- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)
(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p))) 1/2)
(* 2 q)
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q))
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* (pow r 2) (+ (* -1/1024 (/ (pow r 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow r 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* (pow r 2) (+ (* -1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(* -1/4 p)
(+ (* -1/4 p) (* 1/2 r))
(+ (* -1/4 p) (* r (+ 1/2 (* 1/16 (/ (* p r) (pow q 2))))))
(+ (* -1/4 p) (* r (+ 1/2 (* r (+ (* -1/64 (/ (* p (pow r 2)) (pow q 4))) (* 1/16 (/ p (pow q 2))))))))
(+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (+ (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/32 (/ (pow p 2) (pow q 3)))) (* 1/8 (/ 1 q))))))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (+ (* -1/32 (/ (* p r) (pow q 3))) (+ (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/32 (/ (pow p 2) (pow q 3))))) (* 1/8 (/ 1 q))))))))
(* 4 (pow q 2))
(+ (* 4 (pow q 2)) (pow r 2))
(/ 1/2 q)
(+ (* -1/16 (/ (pow r 2) (pow q 3))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* 3/256 (/ (pow r 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* (pow r 2) (+ (* -5/2048 (/ (pow r 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(* 1/4 (/ r (pow q 2)))
(* r (+ (* -1/16 (/ (pow r 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2)))))
(* r (+ (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 6))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))
(* r (+ (* (pow r 2) (- (* (pow r 2) (+ (* -1/256 (/ (pow r 2) (pow q 8))) (* 1/64 (/ 1 (pow q 6))))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* -1 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)) 1/2))
(* 1/2 (/ r p))
(* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))
r
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 4) (pow r 4)))) 1/2))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* 2 (/ (pow q 4) (pow r 4))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1/2 (* -1 (/ (* p (pow q 2)) (pow r 3)))))
(* r (+ 1/2 (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (* 4 (/ (* p (pow q 4)) (pow r 5))))))
(* r (+ 1/2 (+ (* -16 (/ (* p (pow q 6)) (pow r 7))) (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (* 4 (/ (* p (pow q 4)) (pow r 5)))))))
(* r (- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))))) 1/2))
(pow r 2)
(* (pow r 2) (+ 1 (* 4 (/ (pow q 2) (pow r 2)))))
(/ 1 r)
(/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r)
(/ (+ 1 (* -4 (/ (pow q 2) (pow r 2)))) r)
(/ (- (+ 1 (* 16 (/ (pow q 4) (pow r 4)))) (* 4 (/ (pow q 2) (pow r 2)))) r)
(/ (- (+ 1 (* -64 (/ (pow q 6) (pow r 6)))) (+ (* -16 (/ (pow q 4) (pow r 4))) (* 4 (/ (pow q 2) (pow r 2))))) r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (+ 1/2 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r))))
(* -1 (* r (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p)))))
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r)))) r)) 1)))
(* -1 (* r (- (/ (* p (pow q 2)) (pow r 3)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (* p (pow q 2))) (* 4 (/ (* p (pow q 4)) (pow r 2)))) (pow r 3))) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -16 (/ (* p (pow q 6)) (pow r 4))) (+ (* -1 (* p (pow q 2))) (* 4 (/ (* p (pow q 4)) (pow r 2))))) (pow r 3))) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r))))) r)) 1/2)))
(/ -1 r)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r))
(* -1 (/ (- (* 4 (/ (pow q 2) (pow r 2))) 1) r))
(* -1 (/ (- (* -16 (/ (pow q 4) (pow r 4))) (+ 1 (* -4 (/ (pow q 2) (pow r 2))))) r))
(* -1 (/ (- (* 64 (/ (pow q 6) (pow r 6))) (+ 1 (+ (* -4 (/ (pow q 2) (pow r 2))) (* 16 (/ (pow q 4) (pow r 4)))))) r))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* -1 q)
(+ r (* 2 (/ (pow q 2) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(- (+ (fabs p) (fabs r)) r)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))) r)
(+ (* -1 (/ (* p (pow q 2)) (pow r 2))) (* 1/2 r))
(+ (* 1/2 r) (* (pow q 2) (+ (* -1 (/ p (pow r 2))) (* 4 (/ (* p (pow q 2)) (pow r 4))))))
(+ (* 1/2 r) (* (pow q 2) (+ (* -1 (/ p (pow r 2))) (* (pow q 2) (+ (* -16 (/ (* p (pow q 2)) (pow r 6))) (* 4 (/ p (pow r 4))))))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (* -1 (/ (pow p 2) (pow r 3)))) (/ 1 r)))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (+ (* -1 (/ (pow p 2) (pow r 3))) (* (pow q 2) (+ (* 2 (/ (pow p 2) (pow r 5))) (+ (* 3 (/ p (pow r 4))) (+ (* 4 (/ (pow p 2) (pow r 5))) (/ 1 (pow r 3)))))))) (/ 1 r)))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (+ (* -1 (/ (pow p 2) (pow r 3))) (* (pow q 2) (+ (* 2 (/ (pow p 2) (pow r 5))) (+ (* 3 (/ p (pow r 4))) (+ (* 4 (/ (pow p 2) (pow r 5))) (+ (* (pow q 2) (- (+ (* -16 (/ (pow p 2) (pow r 7))) (+ (* -10 (/ p (pow r 6))) (+ (* -8 (/ (pow p 2) (pow r 7))) (* -6 (/ (pow p 2) (pow r 7)))))) (* 2 (/ 1 (pow r 5))))) (/ 1 (pow r 3))))))))) (/ 1 r)))))
(+ (* -2 (/ (pow q 2) (pow r 3))) (/ 1 r))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow r 7))) (* 6 (/ 1 (pow r 5))))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* -4 (/ (pow q 2) (pow r 3))) (/ 1 r))
(+ (* (pow q 2) (- (* 16 (/ (pow q 2) (pow r 5))) (* 4 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -64 (/ (pow q 2) (pow r 7))) (* 16 (/ 1 (pow r 5))))) (* 4 (/ 1 (pow r 3))))) (/ 1 r))
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(+ (* -1/4 p) (+ (* 1/16 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 r)))
(+ (* -1/4 p) (+ (* -1/64 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/16 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 r))))
(+ (* -1/4 p) (+ (* -1/64 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/256 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/16 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 r)))))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/2 (/ (* p (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/4 p) (* 1/2 r)))) (pow q 4))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 4))) (+ (* 1/2 (/ (* p (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))) 1))
(* (pow q 2) (+ 4 (/ (pow r 2) (pow q 2))))
(/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q)
(/ (+ (* -1/16 (/ (pow r 3) (pow q 2))) (* 1/4 r)) (pow q 2))
(/ (- (+ (* 1/64 (/ (pow r 5) (pow q 4))) (* 1/4 r)) (* 1/16 (/ (pow r 3) (pow q 2)))) (pow q 2))
(/ (- (+ (* -1/256 (/ (pow r 7) (pow q 6))) (* 1/4 r)) (+ (* -1/64 (/ (pow r 5) (pow q 4))) (* 1/16 (/ (pow r 3) (pow q 2))))) (pow q 2))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/2 (* p (+ (* -1/4 p) (* 1/2 r))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/4 p) (* 1/2 r)))) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* p (+ (* -1/4 p) (* 1/2 r)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
q
@0
((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (sqrt (+ (* (* q q) 4) (* r r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fabs p) (+ (* (* q q) 4) (* r r)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (/ r (+ (* (* q q) 4) (* r r))))
7.0ms
q
@-inf
((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (sqrt (+ (* (* q q) 4) (* r r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fabs p) (+ (* (* q q) 4) (* r r)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (/ r (+ (* (* q q) 4) (* r r))))
6.0ms
p
@inf
((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (sqrt (+ (* (* q q) 4) (* r r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fabs p) (+ (* (* q q) 4) (* r r)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (/ r (+ (* (* q q) 4) (* r r))))
5.0ms
r
@inf
((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (sqrt (+ (* (* q q) 4) (* r r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fabs p) (+ (* (* q q) 4) (* r r)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (/ r (+ (* (* q q) 4) (* r r))))
5.0ms
r
@0
((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg q) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (sqrt (+ (* (* q q) 4) (* r r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fabs p) (+ (* (* q q) 4) (* r r)) (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (/ r (+ (* (* q q) 4) (* r r))))

simplify161.0ms (2.1%)

Memory
22.3MiB live, 167.9MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010234909
132784825
082534536
Stop Event
iter limit
node limit
Counts
198 → 196
Calls
Call 1
Inputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 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))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 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))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(* -1 p)
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p))
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(* 1/2 r)
(+ (* -1/4 (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 r))
(fabs p)
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* 1/2 p)
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))))
-1/2
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)
(* -1/4 (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ (* -1/4 (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (/ r p))))
(* -1/4 (* (* (pow p 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* (pow p 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))
(* (pow p 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) (pow p 2))))))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (+ (* -1/2 (/ r p)) (* 1/4 (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))))
(* (pow p 2) (+ (* -1 (/ (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))) p)) (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 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))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 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))))))))))
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)))
(+ (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))) (* -1/2 r))
(- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)
(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p))) 1/2)
(* 2 q)
(+ (* 1/4 (/ (pow r 2) q)) (* 2 q))
(+ (* 2 q) (* (pow r 2) (+ (* -1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow r 2) (+ (* (pow r 2) (- (* 1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* (pow r 2) (+ (* -1/1024 (/ (pow r 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow r 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow r 2) (- (* (pow r 2) (+ (* -1/512 (/ (pow r 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(* -1/4 p)
(+ (* -1/4 p) (* 1/2 r))
(+ (* -1/4 p) (* r (+ 1/2 (* 1/16 (/ (* p r) (pow q 2))))))
(+ (* -1/4 p) (* r (+ 1/2 (* r (+ (* -1/64 (/ (* p (pow r 2)) (pow q 4))) (* 1/16 (/ p (pow q 2))))))))
(+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (+ (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/32 (/ (pow p 2) (pow q 3)))) (* 1/8 (/ 1 q))))))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (+ (* -1/32 (/ (* p r) (pow q 3))) (+ (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/32 (/ (pow p 2) (pow q 3))))) (* 1/8 (/ 1 q))))))))
(* 4 (pow q 2))
(+ (* 4 (pow q 2)) (pow r 2))
(/ 1/2 q)
(+ (* -1/16 (/ (pow r 2) (pow q 3))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* 3/256 (/ (pow r 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* (pow r 2) (+ (* -5/2048 (/ (pow r 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(* 1/4 (/ r (pow q 2)))
(* r (+ (* -1/16 (/ (pow r 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2)))))
(* r (+ (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 6))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))
(* r (+ (* (pow r 2) (- (* (pow r 2) (+ (* -1/256 (/ (pow r 2) (pow q 8))) (* 1/64 (/ 1 (pow q 6))))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* -1 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)) 1/2))
(* 1/2 (/ r p))
(* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))
r
(* r (+ 1 (* 2 (/ (pow q 2) (pow r 2)))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6)))))))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 4) (pow r 4)))) 1/2))
(* -1 r)
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* 2 (/ (pow q 4) (pow r 4))) (+ (/ (fabs p) r) (/ (fabs r) r))) (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* r (+ 1/2 (* -1 (/ (* p (pow q 2)) (pow r 3)))))
(* r (+ 1/2 (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (* 4 (/ (* p (pow q 4)) (pow r 5))))))
(* r (+ 1/2 (+ (* -16 (/ (* p (pow q 6)) (pow r 7))) (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (* 4 (/ (* p (pow q 4)) (pow r 5)))))))
(* r (- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))))) 1/2))
(pow r 2)
(* (pow r 2) (+ 1 (* 4 (/ (pow q 2) (pow r 2)))))
(/ 1 r)
(/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r)
(/ (+ 1 (* -4 (/ (pow q 2) (pow r 2)))) r)
(/ (- (+ 1 (* 16 (/ (pow q 4) (pow r 4)))) (* 4 (/ (pow q 2) (pow r 2)))) r)
(/ (- (+ 1 (* -64 (/ (pow q 6) (pow r 6)))) (+ (* -16 (/ (pow q 4) (pow r 4))) (* 4 (/ (pow q 2) (pow r 2))))) r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (+ 1/2 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r))))
(* -1 (* r (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p)))))
(* -1 (* r (+ 1 (* 2 (/ (pow q 2) (pow r 2))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (+ 1 (+ (* -2 (/ (pow q 4) (pow r 4))) (+ (* 2 (/ (pow q 2) (pow r 2))) (* 4 (/ (pow q 6) (pow r 6))))))))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (fabs r)) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) r)) 1)))
(* -1 (* r (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow r 2))) (* 2 (pow q 2))) r)))) r)) 1)))
(* -1 (* r (- (/ (* p (pow q 2)) (pow r 3)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (* p (pow q 2))) (* 4 (/ (* p (pow q 4)) (pow r 2)))) (pow r 3))) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -16 (/ (* p (pow q 6)) (pow r 4))) (+ (* -1 (* p (pow q 2))) (* 4 (/ (* p (pow q 4)) (pow r 2))))) (pow r 3))) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r))))) r)) 1/2)))
(/ -1 r)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r))
(* -1 (/ (- (* 4 (/ (pow q 2) (pow r 2))) 1) r))
(* -1 (/ (- (* -16 (/ (pow q 4) (pow r 4))) (+ 1 (* -4 (/ (pow q 2) (pow r 2))))) r))
(* -1 (/ (- (* 64 (/ (pow q 6) (pow r 6))) (+ 1 (+ (* -4 (/ (pow q 2) (pow r 2))) (* 16 (/ (pow q 4) (pow r 4)))))) r))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(* -1 q)
(+ r (* 2 (/ (pow q 2) r)))
(+ r (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))
(+ r (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(- (+ (fabs p) (fabs r)) r)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow r 3))) (* 2 (/ 1 r)))))) r)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (* 2 (/ 1 r)))))) r)
(+ (* -1 (/ (* p (pow q 2)) (pow r 2))) (* 1/2 r))
(+ (* 1/2 r) (* (pow q 2) (+ (* -1 (/ p (pow r 2))) (* 4 (/ (* p (pow q 2)) (pow r 4))))))
(+ (* 1/2 r) (* (pow q 2) (+ (* -1 (/ p (pow r 2))) (* (pow q 2) (+ (* -16 (/ (* p (pow q 2)) (pow r 6))) (* 4 (/ p (pow r 4))))))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (* -1 (/ (pow p 2) (pow r 3)))) (/ 1 r)))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (+ (* -1 (/ (pow p 2) (pow r 3))) (* (pow q 2) (+ (* 2 (/ (pow p 2) (pow r 5))) (+ (* 3 (/ p (pow r 4))) (+ (* 4 (/ (pow p 2) (pow r 5))) (/ 1 (pow r 3)))))))) (/ 1 r)))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (+ (* -1 (/ (pow p 2) (pow r 3))) (* (pow q 2) (+ (* 2 (/ (pow p 2) (pow r 5))) (+ (* 3 (/ p (pow r 4))) (+ (* 4 (/ (pow p 2) (pow r 5))) (+ (* (pow q 2) (- (+ (* -16 (/ (pow p 2) (pow r 7))) (+ (* -10 (/ p (pow r 6))) (+ (* -8 (/ (pow p 2) (pow r 7))) (* -6 (/ (pow p 2) (pow r 7)))))) (* 2 (/ 1 (pow r 5))))) (/ 1 (pow r 3))))))))) (/ 1 r)))))
(+ (* -2 (/ (pow q 2) (pow r 3))) (/ 1 r))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow r 7))) (* 6 (/ 1 (pow r 5))))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* -4 (/ (pow q 2) (pow r 3))) (/ 1 r))
(+ (* (pow q 2) (- (* 16 (/ (pow q 2) (pow r 5))) (* 4 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -64 (/ (pow q 2) (pow r 7))) (* 16 (/ 1 (pow r 5))))) (* 4 (/ 1 (pow r 3))))) (/ 1 r))
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow r 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow r 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(+ (* -1/4 p) (+ (* 1/16 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 r)))
(+ (* -1/4 p) (+ (* -1/64 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/16 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 r))))
(+ (* -1/4 p) (+ (* -1/64 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/256 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/16 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 r)))))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/2 (/ (* p (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/4 p) (* 1/2 r)))) (pow q 4))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 4))) (+ (* 1/2 (/ (* p (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))) 1))
(* (pow q 2) (+ 4 (/ (pow r 2) (pow q 2))))
(/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q)
(/ (+ (* -1/16 (/ (pow r 3) (pow q 2))) (* 1/4 r)) (pow q 2))
(/ (- (+ (* 1/64 (/ (pow r 5) (pow q 4))) (* 1/4 r)) (* 1/16 (/ (pow r 3) (pow q 2)))) (pow q 2))
(/ (- (+ (* -1/256 (/ (pow r 7) (pow q 6))) (* 1/4 r)) (+ (* -1/64 (/ (pow r 5) (pow q 4))) (* 1/16 (/ (pow r 3) (pow q 2))))) (pow q 2))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow r 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (* 1/4 (/ (pow r 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow r 4) (pow q 4))) (+ (* 1/512 (/ (pow r 6) (pow q 6))) (* 1/4 (/ (pow r 2) (pow q 2))))))))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow r 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow r 4) (pow q 2))) (* 1/4 (pow r 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/2 (* p (+ (* -1/4 p) (* 1/2 r))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/4 p) (* 1/2 r)))) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* p (+ (* -1/4 p) (* 1/2 r)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))
Outputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 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))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 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))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 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))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))) p (*.f64 (*.f64 #s(literal 1/2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(*.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))
(* -1 p)
(neg.f64 p)
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p))
(*.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64))
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))) p)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(* 1/2 r)
(*.f64 #s(literal 1/2 binary64) r)
(+ (* -1/4 (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 r))
(fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 #s(literal 1/2 binary64) r))
(fabs p)
(fabs.f64 p)
(* -1/2 p)
(*.f64 #s(literal -1/2 binary64) p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p)
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(*.f64 (fma.f64 (*.f64 (/.f64 q p) (/.f64 q p)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) p)
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 q q) (/.f64 r (pow.f64 p #s(literal 3 binary64))) (*.f64 (/.f64 q p) (/.f64 q p))) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) p)
(* 1/2 p)
(*.f64 #s(literal 1/2 binary64) p)
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))))
(*.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p)
-1/2
#s(literal -1/2 binary64)
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)
(fma.f64 (/.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(* -1/4 (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))
(*.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(* p (+ (* -1/4 (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (/ r p))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal -1/4 binary64) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))) p)
(* -1/4 (* (* (pow p 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(*.f64 (*.f64 (*.f64 p p) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) #s(literal -1/4 binary64))
(* (pow p 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) #s(literal -1/4 binary64) (*.f64 (*.f64 (/.f64 r p) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) (*.f64 p p))
(* (pow p 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) (pow p 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 r p) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 p p))))) (*.f64 p p))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
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(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/2 (* p (+ (* -1/4 p) (* 1/2 r))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r)) p) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 r r))) (neg.f64 q))) (neg.f64 q)) #s(literal 1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/4 p) (* 1/2 r)))) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* p (+ (* -1/4 p) (* 1/2 r)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 r r) (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (*.f64 r r) p) (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r))) (*.f64 #s(literal 1/128 binary64) (pow.f64 r #s(literal 4 binary64)))) (*.f64 q q)) (fma.f64 (*.f64 (/.f64 (*.f64 p p) q) (/.f64 (*.f64 r r) q)) #s(literal 1/32 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r)) p) #s(literal 1/2 binary64))))) (neg.f64 q))) (neg.f64 q)) #s(literal 1 binary64)) (neg.f64 q))
(/ -1/2 q)
(/.f64 #s(literal -1/2 binary64) q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 r r) q) #s(literal 1/2 binary64)) (neg.f64 q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 r r) q) (/.f64 (neg.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) (*.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (*.f64 #s(literal 1/256 binary64) (pow.f64 r #s(literal 6 binary64)))) (pow.f64 q #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 r r) q) #s(literal 1/2 binary64))) (neg.f64 q))

rewrite178.0ms (2.3%)

Memory
-12.3MiB live, 162.7MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053376
082376
1339373
02724368
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
19 → 183
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(neg.f64 p)
(-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) 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)))))) (neg.f64 q))
(neg.f64 q)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
(*.f64 #s(literal 1/2 binary64) r)
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(fabs.f64 p)
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 1/2 binary64)) (neg.f64 p)))
(*.f64 (-.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 1/2 binary64)) (neg.f64 p))
(*.f64 (neg.f64 p) (-.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 1/2 binary64)))
(*.f64 p (neg.f64 (-.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (neg.f64 p)) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 p)) (+.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 p) (-.f64 (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (neg.f64 p) (-.f64 (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (-.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 1/2 binary64)) p))
(neg.f64 p)
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 2 binary64)) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 (/.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) p) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 2 binary64)))))
(-.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (/.f64 #s(literal -1/2 binary64) p)) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
(neg.f64 q)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 r #s(literal 1/2 binary64)))
(*.f64 r #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) r)
(*.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 r #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (neg.f64 r) r))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 r #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 r r) (-.f64 (*.f64 r r) (*.f64 (*.f64 q q) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) #s(literal 1/2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (+.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (+.f64 (fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) (pow.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 r) #s(literal 1/2 binary64) (*.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 r) (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))
(+.f64 (*.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 r)) (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))
(/.f64 (-.f64 (*.f64 r r) (*.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) (-.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))
(/.f64 (+.f64 (pow.f64 (fabs.f64 r) #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (*.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 (fabs.f64 r) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))))
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eval161.0ms (2.1%)

Memory
-27.6MiB live, 208.0MiB allocated; 33ms collecting garbage
Compiler

Compiled 49 915 to 3 217 computations (93.6% saved)

prune31.0ms (0.4%)

Memory
29.6MiB live, 76.6MiB allocated; 2ms collecting garbage
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New6349643
Fresh3912
Picked235
Done000
Total63921660
Accuracy
91.5%
Counts
660 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.4%
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 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))) #s(literal 1/2 binary64)) (+.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64))))
20.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
14.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 #s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) q) #s(literal 4 binary64)) (*.f64 q q))))))
21.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (*.f64 q q) r) (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64))) r)))
22.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
33.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
19.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
20.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
32.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
30.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 (/.f64 (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) (neg.f64 p)) #s(literal 1/2 binary64))))
23.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (sqrt.f64 (*.f64 p p))) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
10.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))))
2.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
6.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
5.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
2.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
33.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
35.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (-.f64 (-.f64 (/.f64 (neg.f64 p) (*.f64 r r)) (/.f64 (*.f64 p p) (pow.f64 r #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) r)) (*.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))))
11.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
18.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (*.f64 q q) r) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)))
48.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
Compiler

Compiled 1 903 to 1 261 computations (33.7% saved)

simplify170.0ms (2.2%)

Memory
-37.7MiB live, 205.7MiB allocated; 19ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r)))
cost-diff0
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
cost-diff0
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
cost-diff1
(fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))
cost-diff0
#s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))
cost-diff0
(neg.f64 p)
cost-diff0
(*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)))
cost-diff0
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))))
cost-diff0
(+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r))
cost-diff0
(fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))
cost-diff0
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
cost-diff0
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
cost-diff0
(*.f64 #s(literal -1/2 binary64) p)
cost-diff0
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
cost-diff0
(+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))
cost-diff0
#s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))
cost-diff0
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078848
0118848
1226848
2553848
31658848
46179848
08257799
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
#s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))
#s(literal 1/2 binary64)
(+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))
(+.f64 p (fabs.f64 p))
p
(fabs.f64 p)
(-.f64 (fabs.f64 r) r)
(fabs.f64 r)
r
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
(*.f64 #s(literal -1/2 binary64) p)
#s(literal -1/2 binary64)
p
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
(fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))
(+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r))
(fabs.f64 p)
p
(-.f64 (fabs.f64 r) r)
(fabs.f64 r)
r
#s(literal 1/2 binary64)
(/.f64 (*.f64 (neg.f64 q) q) r)
(*.f64 (neg.f64 q) q)
(neg.f64 q)
q
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))))
(*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)))
(neg.f64 p)
p
#s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)
(+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r))
(/.f64 #s(literal 1/2 binary64) p)
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p)
(+.f64 (fabs.f64 r) (fabs.f64 p))
(fabs.f64 r)
r
(fabs.f64 p)
#s(literal -1/2 binary64)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
#s(literal 1 binary64)
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))
(*.f64 q q)
q
#s(literal 4 binary64)
(*.f64 r r)
r
(fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))
(*.f64 #s(literal -1/4 binary64) p)
#s(literal -1/4 binary64)
p
(-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
(*.f64 #s(literal 1/2 binary64) r)
#s(literal 1/2 binary64)
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
(fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))
(+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r))
(fabs.f64 p)
(-.f64 (fabs.f64 r) r)
(fabs.f64 r)
(/.f64 (*.f64 (neg.f64 q) q) r)
(*.f64 (neg.f64 q) q)
(neg.f64 q)
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64))))
#s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))
#s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))
(-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p)))
(+.f64 p (fabs.f64 p))
(+.f64 (fabs.f64 p) p)
p
(fabs.f64 p)
(-.f64 (fabs.f64 r) r)
(fabs.f64 r)
r
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
(*.f64 #s(literal -1/2 binary64) p)
#s(literal -1/2 binary64)
p
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
(fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))
(fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))
(+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r))
(-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p)))
(fabs.f64 p)
p
(-.f64 (fabs.f64 r) r)
(fabs.f64 r)
r
#s(literal 1/2 binary64)
(/.f64 (*.f64 (neg.f64 q) q) r)
(*.f64 (neg.f64 q) q)
(neg.f64 q)
q
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) p) (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64)) r) (/.f64 #s(literal 1/2 binary64) p)) r)) (neg.f64 p)))
(*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)))
(*.f64 #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) p) (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64)) r) (/.f64 #s(literal 1/2 binary64) p)) r)) (neg.f64 p))
(neg.f64 p)
p
#s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))
#s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) p) (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64)) r) (/.f64 #s(literal 1/2 binary64) p)) r))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) p) (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64)) r) (/.f64 #s(literal 1/2 binary64) p)) r)
(+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r))
(+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) p) (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64)) r) (/.f64 #s(literal 1/2 binary64) p))
(/.f64 #s(literal 1/2 binary64) p)
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) p) (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64)) r)
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) p) (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64))
(/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p)
(+.f64 (fabs.f64 r) (fabs.f64 p))
(fabs.f64 r)
r
(fabs.f64 p)
#s(literal -1/2 binary64)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (fma.f64 r #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r #s(literal -1 binary64)) p) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
(fma.f64 (*.f64 (fma.f64 r #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r #s(literal -1 binary64)) p) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r)))
(*.f64 (fma.f64 r #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r #s(literal -1 binary64)) p) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
#s(literal 1 binary64)
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))
(*.f64 q q)
q
#s(literal 4 binary64)
(*.f64 r r)
r
(fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))
(fma.f64 r #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r #s(literal -1 binary64)) p) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) p)
#s(literal -1/4 binary64)
p
(-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r))
(*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(*.f64 (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))) r)
(/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
(*.f64 #s(literal 1/2 binary64) r)
(*.f64 r #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
(fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))
(fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))
(+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r))
(-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p)))
(fabs.f64 p)
(-.f64 (fabs.f64 r) r)
(fabs.f64 r)
(/.f64 (*.f64 (neg.f64 q) q) r)
(*.f64 (neg.f64 q) q)
(neg.f64 q)

localize375.0ms (4.8%)

Memory
-6.4MiB live, 377.5MiB allocated; 34ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy17.907228467987558
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
accuracy18.981880992930297
(/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
accuracy22.686877562878944
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
accuracy29.27845054338056
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
accuracy15.489251372651486
(+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r))
accuracy15.610966846282542
(/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)
accuracy19.76369712584845
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
accuracy33.2410048160272
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))))
accuracy0.0078125
(fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))
accuracy6.989139215524345
(/.f64 (*.f64 (neg.f64 q) q) r)
accuracy22.686877562878944
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
accuracy36.861780275429346
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) p)
accuracy62.23691022522906
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
accuracy0.0
(fabs.f64 r)
accuracy0.0
(fabs.f64 p)
accuracy0.0
#s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))
accuracy33.2410048160272
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
Samples
196.0ms177×2valid
76.0ms62×1valid
30.0ms17×3valid
Compiler

Compiled 614 to 67 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 224.0ms
adjust: 64.0ms (28.5% of total)
ival-mult: 50.0ms (22.3% of total)
ival-div: 45.0ms (20.1% of total)
ival-add: 26.0ms (11.6% of total)
ival-sub: 13.0ms (5.8% of total)
ival-sqrt: 12.0ms (5.3% of total)
ival-pow2: 10.0ms (4.5% of total)
ival-fabs: 2.0ms (0.9% of total)
ival-neg: 2.0ms (0.9% of total)
exact: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory
32.5MiB live, 32.5MiB allocated; 0ms collecting garbage
Counts
26 → 215
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
#s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))
(+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
(*.f64 #s(literal -1/2 binary64) p)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
(fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))
(+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))))
(*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)))
(neg.f64 p)
#s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))
(fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r)))
(fabs.f64 p)
(fabs.f64 r)
(/.f64 (*.f64 (neg.f64 q) q) r)
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)
(+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
Outputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 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))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 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))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(- (+ (fabs p) (fabs r)) r)
(- (+ p (+ (fabs p) (fabs r))) r)
(* -1/2 p)
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(* -1 p)
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p))
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)
(* 1/2 r)
(+ (* -1/4 (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 r))
(* 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)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(fabs p)
(* -1/2 (/ (+ (fabs p) (fabs r)) p))
(/ (+ (* -1/2 p) (* -1/2 (+ (fabs p) (fabs r)))) p)
(* -1/2 (/ (+ (fabs p) (fabs r)) (* p r)))
(/ (+ (* -1/2 (/ p r)) (* -1/2 (/ (+ (fabs p) (fabs r)) r))) p)
(/ (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r))) p)
(/ (+ 1/2 (+ (* -1/2 (/ p r)) (* -1/2 (/ (+ (fabs p) (fabs r)) r)))) p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* 1/2 p)
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))))
p
(* p (- (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ r p)))
-1/2
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)
(* -1/4 (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ (* -1/4 (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (/ r p))))
(* -1/4 (* (* (pow p 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* (pow p 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))
(* (pow p 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) (pow p 2))))))
(* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (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)))))) (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))
(- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)
(/ -1/2 r)
(- (* -1/2 (/ (+ (fabs p) (fabs r)) (* p r))) (* 1/2 (/ 1 r)))
(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) (* p r))) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r)))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1)))
(* -1 (* p (+ (* -1/2 (/ r p)) (* 1/4 (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))))
(* (pow p 2) (+ (* -1 (/ (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))) p)) (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))))
(* -1 (* p (+ (* -1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))))
(- (* -1 (/ (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2) p)) (* 1/2 (/ 1 r)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 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))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 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))))))))))
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)))
(+ (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))) (* -1/2 r))
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))
(+ p (+ (fabs p) (fabs r)))
(+ p (+ (fabs p) (+ (fabs r) (* -1 r))))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* (pow r 2) (+ (* -1/1024 (/ (pow r 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(* -1 (/ (pow q 2) r))
(/ (+ (* -1 (pow q 2)) (* 1/2 (* r (+ (fabs p) (fabs r))))) r)
(/ (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ (fabs p) (fabs r)))))) r)
(+ (fabs p) (fabs r))
(+ (fabs p) (+ (fabs r) (* -1 r)))
(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p))) 1/2)
(* -1/4 p)
(+ (* -1/4 p) (* 1/2 r))
(+ (* -1/4 p) (* r (+ 1/2 (* 1/16 (/ (* p r) (pow q 2))))))
(+ (* -1/4 p) (* r (+ 1/2 (* r (+ (* -1/64 (/ (* p (pow r 2)) (pow q 4))) (* 1/16 (/ p (pow q 2))))))))
(+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (+ (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/32 (/ (pow p 2) (pow q 3)))) (* 1/8 (/ 1 q))))))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (+ (* -1/32 (/ (* p r) (pow q 3))) (+ (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/32 (/ (pow p 2) (pow q 3))))) (* 1/8 (/ 1 q))))))))
(* -1/8 (/ p q))
(+ (* -1/8 (/ p q)) (* 1/4 (/ r q)))
(+ (* -1/8 (/ p q)) (* r (+ (* r (+ (* 1/64 (/ p (pow q 3))) (* 1/32 (/ p (pow q 3))))) (* 1/4 (/ 1 q)))))
(+ (* -1/8 (/ p q)) (* r (+ (* r (+ (* -1/32 (/ r (pow q 3))) (+ (* 1/64 (/ p (pow q 3))) (* 1/32 (/ p (pow q 3)))))) (* 1/4 (/ 1 q)))))
(fabs r)
(/ (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2) r)
(/ (- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p))) 1/2) r)
(/ 1/2 q)
(+ (* -1/16 (/ (pow r 2) (pow q 3))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* 3/256 (/ (pow r 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* (pow r 2) (+ (* -5/2048 (/ (pow r 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(* 1/4 (/ r (pow q 2)))
(* r (+ (* -1/16 (/ (pow r 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2)))))
(* r (+ (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 6))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))
(* r (+ (* (pow r 2) (- (* (pow r 2) (+ (* -1/256 (/ (pow r 2) (pow q 8))) (* 1/64 (/ 1 (pow q 6))))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* -1 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)) 1/2))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(* -1 r)
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 4) (pow r 4)))) 1/2))
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* 1/2 (/ r p))
(* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))
(* r (+ 1/2 (* -1 (/ (* p (pow q 2)) (pow r 3)))))
(* r (+ 1/2 (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (* 4 (/ (* p (pow q 4)) (pow r 5))))))
(* r (+ 1/2 (+ (* -16 (/ (* p (pow q 6)) (pow r 7))) (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (* 4 (/ (* p (pow q 4)) (pow r 5)))))))
(* r (- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))))) 1/2))
1/2
(+ 1/2 (* -1 (/ (pow q 2) (pow r 2))))
(+ 1/2 (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (* -1 (/ (pow q 2) (pow r 2)))))
(+ 1/2 (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))))
(/ 1/2 p)
(/ 1 r)
(/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r)
(/ (+ 1 (* -4 (/ (pow q 2) (pow r 2)))) r)
(/ (- (+ 1 (* 16 (/ (pow q 4) (pow r 4)))) (* 4 (/ (pow q 2) (pow r 2)))) r)
(/ (- (+ 1 (* -64 (/ (pow q 6) (pow r 6)))) (+ (* -16 (/ (pow q 4) (pow r 4))) (* 4 (/ (pow q 2) (pow r 2))))) r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (+ 1/2 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r))))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) r)))))
(* -1 (* r (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p)))))
(* -1 (* r (- (/ (* p (pow q 2)) (pow r 3)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (* p (pow q 2))) (* 4 (/ (* p (pow q 4)) (pow r 2)))) (pow r 3))) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -16 (/ (* p (pow q 6)) (pow r 4))) (+ (* -1 (* p (pow q 2))) (* 4 (/ (* p (pow q 4)) (pow r 2))))) (pow r 3))) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r))))) r)) 1/2)))
(- (/ (pow q 2) (pow r 2)) 1/2)
(- (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))) 1/2)
(- (+ (* -1 (/ (+ (* -1 (* p (pow q 2))) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) r))) (pow r 3))) (/ (pow q 2) (pow r 2))) 1/2)
(/ -1 r)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r))
(* -1 (/ (- (* 4 (/ (pow q 2) (pow r 2))) 1) r))
(* -1 (/ (- (* -16 (/ (pow q 4) (pow r 4))) (+ 1 (* -4 (/ (pow q 2) (pow r 2))))) r))
(* -1 (/ (- (* 64 (/ (pow q 6) (pow r 6))) (+ 1 (+ (* -4 (/ (pow q 2) (pow r 2))) (* 16 (/ (pow q 4) (pow r 4)))))) r))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(+ (* -1 (/ (* p (pow q 2)) (pow r 2))) (* 1/2 r))
(+ (* 1/2 r) (* (pow q 2) (+ (* -1 (/ p (pow r 2))) (* 4 (/ (* p (pow q 2)) (pow r 4))))))
(+ (* 1/2 r) (* (pow q 2) (+ (* -1 (/ p (pow r 2))) (* (pow q 2) (+ (* -16 (/ (* p (pow q 2)) (pow r 6))) (* 4 (/ p (pow r 4))))))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (* -1 (/ (pow p 2) (pow r 3)))) (/ 1 r)))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (+ (* -1 (/ (pow p 2) (pow r 3))) (* (pow q 2) (+ (* 2 (/ (pow p 2) (pow r 5))) (+ (* 3 (/ p (pow r 4))) (+ (* 4 (/ (pow p 2) (pow r 5))) (/ 1 (pow r 3)))))))) (/ 1 r)))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (+ (* -1 (/ (pow p 2) (pow r 3))) (* (pow q 2) (+ (* 2 (/ (pow p 2) (pow r 5))) (+ (* 3 (/ p (pow r 4))) (+ (* 4 (/ (pow p 2) (pow r 5))) (+ (* (pow q 2) (- (+ (* -16 (/ (pow p 2) (pow r 7))) (+ (* -10 (/ p (pow r 6))) (+ (* -8 (/ (pow p 2) (pow r 7))) (* -6 (/ (pow p 2) (pow r 7)))))) (* 2 (/ 1 (pow r 5))))) (/ 1 (pow r 3))))))))) (/ 1 r)))))
(+ 1/2 (* (pow q 2) (- (* -1 (/ p (pow r 3))) (/ 1 (pow r 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ p (pow r 3))) (* (pow q 2) (+ (* 2 (/ p (pow r 5))) (+ (* 3 (/ 1 (pow r 4))) (* 4 (/ p (pow r 5))))))) (/ 1 (pow r 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ p (pow r 3))) (* (pow q 2) (+ (* 2 (/ p (pow r 5))) (+ (* 3 (/ 1 (pow r 4))) (+ (* 4 (/ p (pow r 5))) (* (pow q 2) (- (+ (* -16 (/ p (pow r 7))) (+ (* -8 (/ p (pow r 7))) (* -6 (/ p (pow r 7))))) (* 10 (/ 1 (pow r 6)))))))))) (/ 1 (pow r 2)))))
(+ (* -2 (/ (pow q 2) (pow r 3))) (/ 1 r))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow r 7))) (* 6 (/ 1 (pow r 5))))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* -4 (/ (pow q 2) (pow r 3))) (/ 1 r))
(+ (* (pow q 2) (- (* 16 (/ (pow q 2) (pow r 5))) (* 4 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -64 (/ (pow q 2) (pow r 7))) (* 16 (/ 1 (pow r 5))))) (* 4 (/ 1 (pow r 3))))) (/ 1 r))
(* -1 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* (pow q 2) (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) (pow q 2))) (/ 1 r)))
(+ (* -1/4 p) (+ (* 1/16 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 r)))
(+ (* -1/4 p) (+ (* -1/64 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/16 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 r))))
(+ (* -1/4 p) (+ (* -1/64 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/256 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/16 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 r)))))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/2 (/ (* p (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/4 p) (* 1/2 r)))) (pow q 4))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 4))) (+ (* 1/2 (/ (* p (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))) 1))
(* 1/2 (/ (+ (* -1/4 p) (* 1/2 r)) q))
(/ (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r))))) q)
(/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))) q)
(/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (pow q 6))) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/1024 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/512 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))))))) q)
(/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q)
(/ (+ (* -1/16 (/ (pow r 3) (pow q 2))) (* 1/4 r)) (pow q 2))
(/ (- (+ (* 1/64 (/ (pow r 5) (pow q 4))) (* 1/4 r)) (* 1/16 (/ (pow r 3) (pow q 2)))) (pow q 2))
(/ (- (+ (* -1/256 (/ (pow r 7) (pow q 6))) (* 1/4 r)) (+ (* -1/64 (/ (pow r 5) (pow q 4))) (* 1/16 (/ (pow r 3) (pow q 2))))) (pow q 2))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/2 (* p (+ (* -1/4 p) (* 1/2 r))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/4 p) (* 1/2 r)))) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* p (+ (* -1/4 p) (* 1/2 r)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1/2 (/ (+ (* -1/4 p) (* 1/2 r)) q))
(* -1 (/ (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r))))) q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))) q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (pow q 6))) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/1024 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/512 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))))))) q))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))
Calls

9 calls:

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

simplify178.0ms (2.3%)

Memory
-1.4MiB live, 89.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010555562
134155364
084835045
Stop Event
iter limit
node limit
Counts
215 → 213
Calls
Call 1
Inputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 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))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 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))))))))))
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(- (+ (fabs p) (fabs r)) r)
(- (+ p (+ (fabs p) (fabs r))) r)
(* -1/2 p)
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(* -1 p)
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p))
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)
(* 1/2 r)
(+ (* -1/4 (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 r))
(* 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)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(fabs p)
(* -1/2 (/ (+ (fabs p) (fabs r)) p))
(/ (+ (* -1/2 p) (* -1/2 (+ (fabs p) (fabs r)))) p)
(* -1/2 (/ (+ (fabs p) (fabs r)) (* p r)))
(/ (+ (* -1/2 (/ p r)) (* -1/2 (/ (+ (fabs p) (fabs r)) r))) p)
(/ (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r))) p)
(/ (+ 1/2 (+ (* -1/2 (/ p r)) (* -1/2 (/ (+ (fabs p) (fabs r)) r)))) p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* 1/2 p)
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))))
p
(* p (- (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ r p)))
-1/2
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)
(* -1/4 (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))
(* p (+ (* -1/4 (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (/ r p))))
(* -1/4 (* (* (pow p 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* (pow p 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))
(* (pow p 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) (pow p 2))))))
(* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (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)))))) (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))
(- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)
(/ -1/2 r)
(- (* -1/2 (/ (+ (fabs p) (fabs r)) (* p r))) (* 1/2 (/ 1 r)))
(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) (* p r))) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r)))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1)))
(* -1 (* p (+ (* -1/2 (/ r p)) (* 1/4 (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))))
(* (pow p 2) (+ (* -1 (/ (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))) p)) (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))))
(* -1 (* p (+ (* -1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))))
(- (* -1 (/ (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2) p)) (* 1/2 (/ 1 r)))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 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))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 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))))))))))
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)))
(+ (* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))) (* -1/2 r))
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))
(+ p (+ (fabs p) (fabs r)))
(+ p (+ (fabs p) (+ (fabs r) (* -1 r))))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
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(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* (pow r 2) (+ (* -1/1024 (/ (pow r 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(* -1 (/ (pow q 2) r))
(/ (+ (* -1 (pow q 2)) (* 1/2 (* r (+ (fabs p) (fabs r))))) r)
(/ (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ (fabs p) (fabs r)))))) r)
(+ (fabs p) (fabs r))
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(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p))) 1/2)
(* -1/4 p)
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(+ (* -1/4 p) (* r (+ 1/2 (* 1/16 (/ (* p r) (pow q 2))))))
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(fabs r)
(/ (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2) r)
(/ (- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) p)) (* 1/2 (/ r p))) 1/2) r)
(/ 1/2 q)
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(+ (* (pow r 2) (- (* 3/256 (/ (pow r 2) (pow q 5))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(+ (* (pow r 2) (- (* (pow r 2) (+ (* -5/2048 (/ (pow r 2) (pow q 7))) (* 3/256 (/ 1 (pow q 5))))) (* 1/16 (/ 1 (pow q 3))))) (* 1/2 (/ 1 q)))
(* 1/4 (/ r (pow q 2)))
(* r (+ (* -1/16 (/ (pow r 2) (pow q 4))) (* 1/4 (/ 1 (pow q 2)))))
(* r (+ (* (pow r 2) (- (* 1/64 (/ (pow r 2) (pow q 6))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))
(* r (+ (* (pow r 2) (- (* (pow r 2) (+ (* -1/256 (/ (pow r 2) (pow q 8))) (* 1/64 (/ 1 (pow q 6))))) (* 1/16 (/ 1 (pow q 4))))) (* 1/4 (/ 1 (pow q 2)))))
(* -1/2 r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (* -1 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r)) 1/2))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(* -1 r)
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 4) (pow r 4)))) 1/2))
(* r (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1))
(* 1/2 (/ r p))
(* r (- (+ (* -1/2 (/ (+ (/ (fabs p) p) (/ (fabs r) p)) r)) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r))))
(* r (+ 1/2 (* -1 (/ (* p (pow q 2)) (pow r 3)))))
(* r (+ 1/2 (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (* 4 (/ (* p (pow q 4)) (pow r 5))))))
(* r (+ 1/2 (+ (* -16 (/ (* p (pow q 6)) (pow r 7))) (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (* 4 (/ (* p (pow q 4)) (pow r 5)))))))
(* r (- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))))) 1/2))
1/2
(+ 1/2 (* -1 (/ (pow q 2) (pow r 2))))
(+ 1/2 (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (* -1 (/ (pow q 2) (pow r 2)))))
(+ 1/2 (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))))
(/ 1/2 p)
(/ 1 r)
(/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r)
(/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r)
(/ (+ 1 (* -4 (/ (pow q 2) (pow r 2)))) r)
(/ (- (+ 1 (* 16 (/ (pow q 4) (pow r 4)))) (* 4 (/ (pow q 2) (pow r 2)))) r)
(/ (- (+ 1 (* -64 (/ (pow q 6) (pow r 6)))) (+ (* -16 (/ (pow q 4) (pow r 4))) (* 4 (/ (pow q 2) (pow r 2))))) r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (+ 1/2 (/ (* p (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2)) r))))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ (fabs p) (fabs r)) r)))))
(* -1 (* r (- (* -1 (/ (- (* -1/2 (+ (/ (fabs p) p) (/ (fabs r) p))) 1/2) r)) (* 1/2 (/ 1 p)))))
(* -1 (* r (- (/ (* p (pow q 2)) (pow r 3)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (* p (pow q 2))) (* 4 (/ (* p (pow q 4)) (pow r 2)))) (pow r 3))) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -16 (/ (* p (pow q 6)) (pow r 4))) (+ (* -1 (* p (pow q 2))) (* 4 (/ (* p (pow q 4)) (pow r 2))))) (pow r 3))) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r))))) r)) 1/2)))
(- (/ (pow q 2) (pow r 2)) 1/2)
(- (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))) 1/2)
(- (+ (* -1 (/ (+ (* -1 (* p (pow q 2))) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) r))) (pow r 3))) (/ (pow q 2) (pow r 2))) 1/2)
(/ -1 r)
(* -1 (/ (+ 1 (* -2 (/ (pow q 2) (pow r 2)))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))) r))
(* -1 (/ (+ 1 (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (* -1/2 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))) (* -1/2 (/ (+ (* 2 (* (pow q 2) (+ (* -16 (pow q 4)) (* 4 (pow q 4))))) (* 64 (pow q 6))) (pow r 6)))))) r))
(* -1 (/ (- (* 4 (/ (pow q 2) (pow r 2))) 1) r))
(* -1 (/ (- (* -16 (/ (pow q 4) (pow r 4))) (+ 1 (* -4 (/ (pow q 2) (pow r 2))))) r))
(* -1 (/ (- (* 64 (/ (pow q 6) (pow r 6))) (+ 1 (+ (* -4 (/ (pow q 2) (pow r 2))) (* 16 (/ (pow q 4) (pow r 4)))))) r))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(+ (* -1 (/ (* p (pow q 2)) (pow r 2))) (* 1/2 r))
(+ (* 1/2 r) (* (pow q 2) (+ (* -1 (/ p (pow r 2))) (* 4 (/ (* p (pow q 2)) (pow r 4))))))
(+ (* 1/2 r) (* (pow q 2) (+ (* -1 (/ p (pow r 2))) (* (pow q 2) (+ (* -16 (/ (* p (pow q 2)) (pow r 6))) (* 4 (/ p (pow r 4))))))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (* -1 (/ (pow p 2) (pow r 3)))) (/ 1 r)))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (+ (* -1 (/ (pow p 2) (pow r 3))) (* (pow q 2) (+ (* 2 (/ (pow p 2) (pow r 5))) (+ (* 3 (/ p (pow r 4))) (+ (* 4 (/ (pow p 2) (pow r 5))) (/ 1 (pow r 3)))))))) (/ 1 r)))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (+ (* -1 (/ (pow p 2) (pow r 3))) (* (pow q 2) (+ (* 2 (/ (pow p 2) (pow r 5))) (+ (* 3 (/ p (pow r 4))) (+ (* 4 (/ (pow p 2) (pow r 5))) (+ (* (pow q 2) (- (+ (* -16 (/ (pow p 2) (pow r 7))) (+ (* -10 (/ p (pow r 6))) (+ (* -8 (/ (pow p 2) (pow r 7))) (* -6 (/ (pow p 2) (pow r 7)))))) (* 2 (/ 1 (pow r 5))))) (/ 1 (pow r 3))))))))) (/ 1 r)))))
(+ 1/2 (* (pow q 2) (- (* -1 (/ p (pow r 3))) (/ 1 (pow r 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ p (pow r 3))) (* (pow q 2) (+ (* 2 (/ p (pow r 5))) (+ (* 3 (/ 1 (pow r 4))) (* 4 (/ p (pow r 5))))))) (/ 1 (pow r 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ p (pow r 3))) (* (pow q 2) (+ (* 2 (/ p (pow r 5))) (+ (* 3 (/ 1 (pow r 4))) (+ (* 4 (/ p (pow r 5))) (* (pow q 2) (- (+ (* -16 (/ p (pow r 7))) (+ (* -8 (/ p (pow r 7))) (* -6 (/ p (pow r 7))))) (* 10 (/ 1 (pow r 6)))))))))) (/ 1 (pow r 2)))))
(+ (* -2 (/ (pow q 2) (pow r 3))) (/ 1 r))
(+ (* (pow q 2) (- (* 6 (/ (pow q 2) (pow r 5))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -20 (/ (pow q 2) (pow r 7))) (* 6 (/ 1 (pow r 5))))) (* 2 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* -4 (/ (pow q 2) (pow r 3))) (/ 1 r))
(+ (* (pow q 2) (- (* 16 (/ (pow q 2) (pow r 5))) (* 4 (/ 1 (pow r 3))))) (/ 1 r))
(+ (* (pow q 2) (- (* (pow q 2) (+ (* -64 (/ (pow q 2) (pow r 7))) (* 16 (/ 1 (pow r 5))))) (* 4 (/ 1 (pow r 3))))) (/ 1 r))
(* -1 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* (pow q 2) (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) (pow q 2))) (/ 1 r)))
(+ (* -1/4 p) (+ (* 1/16 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 r)))
(+ (* -1/4 p) (+ (* -1/64 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/16 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 r))))
(+ (* -1/4 p) (+ (* -1/64 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/256 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/16 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 r)))))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/2 (/ (* p (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/4 p) (* 1/2 r)))) (pow q 4))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 4))) (+ (* 1/2 (/ (* p (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))) 1))
(* 1/2 (/ (+ (* -1/4 p) (* 1/2 r)) q))
(/ (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r))))) q)
(/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))) q)
(/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (pow q 6))) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/1024 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/512 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))))))) q)
(/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q)
(/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q)
(/ (+ (* -1/16 (/ (pow r 3) (pow q 2))) (* 1/4 r)) (pow q 2))
(/ (- (+ (* 1/64 (/ (pow r 5) (pow q 4))) (* 1/4 r)) (* 1/16 (/ (pow r 3) (pow q 2)))) (pow q 2))
(/ (- (+ (* -1/256 (/ (pow r 7) (pow q 6))) (* 1/4 r)) (+ (* -1/64 (/ (pow r 5) (pow q 4))) (* 1/16 (/ (pow r 3) (pow q 2))))) (pow q 2))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/2 (* p (+ (* -1/4 p) (* 1/2 r))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/4 p) (* 1/2 r)))) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* p (+ (* -1/4 p) (* 1/2 r)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1/2 (/ (+ (* -1/4 p) (* 1/2 r)) q))
(* -1 (/ (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r))))) q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))) q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (pow q 6))) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/1024 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/512 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))))))) q))
(/ -1/2 q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))
Outputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 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))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 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))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 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))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))) p (*.f64 (*.f64 #s(literal 1/2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(*.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)))
(- (+ (fabs p) (fabs r)) r)
(+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p))
(- (+ p (+ (fabs p) (fabs r))) r)
(+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))
(* -1/2 p)
(*.f64 #s(literal -1/2 binary64) p)
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))
(* -1 p)
(neg.f64 p)
(* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p))
(*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64))
(/ (+ (* -1/2 p) (* -1/2 (- (+ (fabs p) (fabs r)) r))) p)
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))) p)
(* 1/2 r)
(*.f64 #s(literal 1/2 binary64) r)
(+ (* -1/4 (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 r))
(fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 #s(literal 1/2 binary64) r))
(* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 #s(literal 1/2 binary64) r)))
(fabs p)
(fabs.f64 p)
(* -1/2 (/ (+ (fabs p) (fabs r)) p))
(*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64))
(/ (+ (* -1/2 p) (* -1/2 (+ (fabs p) (fabs r)))) p)
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))) p)
(* -1/2 (/ (+ (fabs p) (fabs r)) (* p r)))
(*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 r p)) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (/ p r)) (* -1/2 (/ (+ (fabs p) (fabs r)) r))) p)
(/.f64 (*.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal -1/2 binary64)) p)
(/ (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r))) p)
(/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) p)
(/ (+ 1/2 (+ (* -1/2 (/ p r)) (* -1/2 (/ (+ (fabs p) (fabs r)) r)))) p)
(/.f64 (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p)
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(*.f64 (fma.f64 (*.f64 (/.f64 q p) (/.f64 q p)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) p)
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 q q) (/.f64 r (pow.f64 p #s(literal 3 binary64))) (*.f64 (/.f64 q p) (/.f64 q p))) (fma.f64 (/.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) p)
(* 1/2 p)
(*.f64 #s(literal 1/2 binary64) p)
(* p (+ 1/2 (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) p))))
(*.f64 (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) p)
p
(* p (- (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ r p)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p)) p)
-1/2
#s(literal -1/2 binary64)
(- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)
(fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(* -1/4 (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))
(*.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(* p (+ (* -1/4 (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (* 1/2 (/ r p))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal -1/4 binary64) (*.f64 (/.f64 r p) #s(literal 1/2 binary64))) p)
(* -1/4 (* (* (pow p 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(*.f64 (*.f64 (*.f64 p p) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) #s(literal -1/4 binary64))
(* (pow p 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) #s(literal -1/4 binary64) (*.f64 (*.f64 (/.f64 r p) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) (*.f64 p p))
(* (pow p 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) (pow p 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 r p) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 p p))))) (*.f64 p p))
(* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(* p (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) #s(literal -1/4 binary64) (*.f64 (*.f64 (/.f64 r p) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) p)
(- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(/ -1/2 r)
(/.f64 #s(literal -1/2 binary64) r)
(- (* -1/2 (/ (+ (fabs p) (fabs r)) (* p r))) (* 1/2 (/ 1 r)))
(/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)
(- (+ (* -1/2 (/ (+ (fabs p) (fabs r)) (* p r))) (* 1/2 (/ 1 p))) (* 1/2 (/ 1 r)))
(-.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 r p)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) p)) (/.f64 #s(literal 1/2 binary64) r))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) p) #s(literal -1 binary64) #s(literal -1/2 binary64)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (neg.f64 (fma.f64 q q (/.f64 (*.f64 (*.f64 q q) r) p))) (neg.f64 p))) p) #s(literal -1 binary64) #s(literal -1/2 binary64)))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (fabs r)) r) p)) 1)))
(*.f64 (neg.f64 p) (-.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) (neg.f64 p)) #s(literal 1 binary64)))
(* -1 (* p (+ (* -1/2 (/ r p)) (* 1/4 (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))))
(*.f64 (neg.f64 p) (fma.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 (/.f64 r p) #s(literal -1/2 binary64))))
(* (pow p 2) (+ (* -1 (/ (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))) p)) (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))))
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(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 r r) q))) (neg.f64 q)) #s(literal 1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) q) (/.f64 (pow.f64 r #s(literal 4 binary64)) q) (*.f64 #s(literal -1/8 binary64) (*.f64 r r))) (neg.f64 q))) (neg.f64 q)) #s(literal 1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/2 (* p (+ (* -1/4 p) (* 1/2 r))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r)) p) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 r r))) (neg.f64 q))) (neg.f64 q)) #s(literal 1 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/4 p) (* 1/2 r)))) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* p (+ (* -1/4 p) (* 1/2 r)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 r r) (+.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (*.f64 r r) p) (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r))) (*.f64 #s(literal 1/128 binary64) (pow.f64 r #s(literal 4 binary64)))) (*.f64 q q)) (fma.f64 (*.f64 (/.f64 (*.f64 p p) q) (/.f64 (*.f64 r r) q)) #s(literal 1/32 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r)) p) #s(literal 1/2 binary64))))) (neg.f64 q))) (neg.f64 q)) #s(literal 1 binary64)) (neg.f64 q))
(* -1/2 (/ (+ (* -1/4 p) (* 1/2 r)) q))
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r)) q) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r))))) q))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r)) (*.f64 r r)) (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 r r) p))) (*.f64 q q)) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r)))) (neg.f64 q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))) q))
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r))) (/.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r)) q) (/.f64 (*.f64 r r) q)) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) p) (pow.f64 q #s(literal 4 binary64))) #s(literal -3/256 binary64) (fma.f64 (/.f64 #s(literal 1/32 binary64) q) (/.f64 (*.f64 (*.f64 r r) p) q) (*.f64 (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r)) #s(literal 1/2 binary64)))))) (neg.f64 q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (pow q 6))) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/1024 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/512 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))))))) q))
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r))) (/.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) (*.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (*.f64 #s(literal 1/256 binary64) (pow.f64 r #s(literal 6 binary64)))) (pow.f64 q #s(literal 6 binary64))) (fma.f64 #s(literal -1/16 binary64) (fma.f64 p (/.f64 (*.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (*.f64 r r)) (pow.f64 q #s(literal 6 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r)) q) (/.f64 (*.f64 r r) q))) (fma.f64 (/.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) p) (pow.f64 q #s(literal 4 binary64))) #s(literal -3/256 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 r #s(literal 6 binary64)) p) (pow.f64 q #s(literal 6 binary64))) #s(literal 3/1024 binary64) (fma.f64 (/.f64 #s(literal 1/32 binary64) q) (/.f64 (*.f64 (*.f64 r r) p) q) (*.f64 (fma.f64 #s(literal -1/4 binary64) p (*.f64 #s(literal 1/2 binary64) r)) #s(literal 1/2 binary64)))))))) (neg.f64 q))
(/ -1/2 q)
(/.f64 #s(literal -1/2 binary64) q)
(* -1 (/ (+ 1/2 (* -1/16 (/ (pow r 2) (pow q 2)))) q))
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 r r) q) #s(literal 1/2 binary64)) (neg.f64 q))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (* -1/16 (/ (pow r 2) (pow q 2))))) q))
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) q) (/.f64 (*.f64 r r) q) (/.f64 (neg.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))) (pow q 4))) (+ (* -1 (/ (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))))) (pow q 6))) (* -1/16 (/ (pow r 2) (pow q 2)))))) q))
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 r q) (/.f64 r q)) #s(literal -1/16 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) (*.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal -3/256 binary64)) (*.f64 #s(literal 1/256 binary64) (pow.f64 r #s(literal 6 binary64)))) (neg.f64 (pow.f64 q #s(literal 6 binary64)))))) #s(literal -1 binary64) #s(literal -1/2 binary64)) q)

rewrite183.0ms (2.3%)

Memory
-9.1MiB live, 133.7MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078638
0119638
1485634
04031621
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
26 → 292
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
#s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))
(+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
(*.f64 #s(literal -1/2 binary64) p)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
(fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))
(+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))))
(*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r)))
(neg.f64 p)
#s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))
(fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r)))
(fabs.f64 p)
(fabs.f64 r)
(/.f64 (*.f64 (neg.f64 q) q) r)
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)
(+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (fma.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r))))
#s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (fma.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r)))
(*.f64 (-.f64 (+.f64 p (fabs.f64 r)) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 p (fabs.f64 r)) (-.f64 r (fabs.f64 p))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 p) p) #s(literal 2 binary64)) (pow.f64 (-.f64 (fabs.f64 r) r) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 (+.f64 (fabs.f64 p) p) (-.f64 (fabs.f64 r) r)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (fabs.f64 p) p) #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) r) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (-.f64 (fabs.f64 r) r) (-.f64 (-.f64 (fabs.f64 r) r) (+.f64 (fabs.f64 p) p)) (pow.f64 (+.f64 (fabs.f64 p) p) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (fabs.f64 p) p) #s(literal 2 binary64)) (pow.f64 (-.f64 (fabs.f64 r) r) #s(literal 2 binary64)))) (-.f64 (+.f64 (fabs.f64 p) p) (-.f64 (fabs.f64 r) r)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (+.f64 (fabs.f64 p) p) #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) r) #s(literal 3 binary64)))) (fma.f64 (-.f64 (fabs.f64 r) r) (-.f64 (-.f64 (fabs.f64 r) r) (+.f64 (fabs.f64 p) p)) (pow.f64 (+.f64 (fabs.f64 p) p) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)) (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64))) (pow.f64 (-.f64 (fabs.f64 r) r) #s(literal 2 binary64))) (-.f64 (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)) (-.f64 (fabs.f64 r) r)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) r) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)) (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (-.f64 (fabs.f64 r) r) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)) (-.f64 (fabs.f64 r) r)))))
(fma.f64 (-.f64 (fabs.f64 r) r) #s(literal 1/2 binary64) (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r))
(fma.f64 p #s(literal 1/2 binary64) (fma.f64 (fabs.f64 p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r) (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) p) (-.f64 (fabs.f64 r) r))
(fma.f64 #s(literal 1/2 binary64) p (fma.f64 (fabs.f64 p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r)))
(-.f64 (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (fabs.f64 r) r)))
(+.f64 (*.f64 p #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r)))
(+.f64 (*.f64 #s(literal 1/2 binary64) p) (fma.f64 (fabs.f64 p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r)))
(+.f64 (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)) (-.f64 (fabs.f64 r) r))
(+.f64 (-.f64 (fabs.f64 r) r) (*.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p))) (*.f64 r r)) (+.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r))
(/.f64 (-.f64 (pow.f64 (-.f64 (fabs.f64 r) r) #s(literal 2 binary64)) (pow.f64 (+.f64 (fabs.f64 p) p) #s(literal 2 binary64))) (-.f64 (-.f64 (fabs.f64 r) r) (+.f64 (fabs.f64 p) p)))
(/.f64 (-.f64 (*.f64 p p) (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))))) (-.f64 p (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) (fma.f64 r r (*.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r))))
(/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 3 binary64))) (fma.f64 p p (-.f64 (*.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p)))) (*.f64 p (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p)))))))
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(sqrt.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 r #s(literal 4 binary64)))) (fma.f64 (*.f64 q #s(literal 4 binary64)) q (*.f64 (neg.f64 r) r)))
(*.f64 (/.f64 r (fma.f64 (pow.f64 (*.f64 q q) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 r #s(literal 6 binary64)))) (fma.f64 (*.f64 r r) (-.f64 (*.f64 r r) (*.f64 (*.f64 q q) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 r)) (neg.f64 (neg.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(/.f64 (neg.f64 r) (neg.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))
(neg.f64 (/.f64 (neg.f64 r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(neg.f64 (/.f64 r (neg.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))

eval128.0ms (1.6%)

Memory
-7.2MiB live, 80.8MiB allocated; 15ms collecting garbage
Compiler

Compiled 55 248 to 3 453 computations (93.8% saved)

prune69.0ms (0.9%)

Memory
-3.6MiB live, 51.5MiB allocated; 8ms collecting garbage
Pruning

22 alts after pruning (17 fresh and 5 done)

PrunedKeptTotal
New6299638
Fresh5813
Picked325
Done033
Total63722659
Accuracy
91.5%
Counts
659 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 #s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) q) #s(literal 4 binary64)) (*.f64 q q))))))
21.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (*.f64 q q) r) (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64))) r)))
40.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
33.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
19.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
20.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
32.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
4.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64)) p (*.f64 r #s(literal 1/2 binary64))) (*.f64 r p)) r))))
9.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64)) r) (/.f64 #s(literal 1/2 binary64) p)) r))))
5.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 #s(approx (+ (/ 1/2 p) (/ (+ (* (/ (+ (fabs r) (fabs p)) p) -1/2) -1/2) r)) (/.f64 #s(literal 1/2 binary64) p)) r))))
2.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
6.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
5.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
2.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
33.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
35.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (-.f64 (-.f64 (/.f64 (neg.f64 p) (*.f64 r r)) (/.f64 (*.f64 p p) (pow.f64 r #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) r)) (*.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))))
13.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (/.f64 q r) (neg.f64 q) (fma.f64 (fabs.f64 p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r)))))
20.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)))
28.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))))
37.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (fma.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r))))
48.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
10.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (fabs p)) (- (fabs r) r)) (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))))
Compiler

Compiled 2 072 to 1 372 computations (33.8% saved)

simplify189.0ms (2.4%)

Memory
42.0MiB live, 173.3MiB allocated; 20ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 q r) (/.f64 q r))
cost-diff0
(*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)
cost-diff0
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
cost-diff3
(fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
cost-diff0
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))
cost-diff0
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
cost-diff4
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))
cost-diff0
(/.f64 (*.f64 (neg.f64 q) q) r)
cost-diff0
#s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))
cost-diff0
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r)))
cost-diff0
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))))
cost-diff0
(*.f64 #s(literal -1/2 binary64) r)
cost-diff0
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
cost-diff0
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
cost-diff0
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
cost-diff0
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081702
0113702
1210702
2533699
31708696
45811696
08624615
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
p
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
(fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))
(+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r))
(fabs.f64 p)
(-.f64 (fabs.f64 r) r)
(fabs.f64 r)
r
(/.f64 (*.f64 (neg.f64 q) q) r)
(*.f64 (neg.f64 q) q)
(neg.f64 q)
q
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
(*.f64 #s(literal -1/2 binary64) r)
#s(literal -1/2 binary64)
r
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r)))
#s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))
(/.f64 (*.f64 (neg.f64 q) q) r)
(*.f64 (neg.f64 q) q)
(neg.f64 q)
q
r
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(fabs.f64 r)
r
(fabs.f64 p)
p
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))
(*.f64 q q)
q
#s(literal 4 binary64)
(*.f64 p p)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
(*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)
(fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 q r) (/.f64 q r))
(/.f64 q r)
q
r
#s(literal -1 binary64)
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r)
(+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p))
(fabs.f64 r)
(+.f64 (fabs.f64 p) p)
(fabs.f64 p)
p
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
p
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
(fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))
(fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))
(+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r))
(-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p)))
(fabs.f64 p)
(-.f64 (fabs.f64 r) r)
(fabs.f64 r)
r
(/.f64 (*.f64 (neg.f64 q) q) r)
(*.f64 (neg.f64 q) q)
(neg.f64 q)
q
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
(*.f64 #s(literal -1/2 binary64) r)
#s(literal -1/2 binary64)
r
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r)))
#s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))
(/.f64 (*.f64 (neg.f64 q) q) r)
(*.f64 (neg.f64 q) q)
(neg.f64 q)
q
r
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (hypot.f64 (*.f64 q #s(literal 2 binary64)) p)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (hypot.f64 (*.f64 q #s(literal 2 binary64)) p)) #s(literal 1/2 binary64))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (hypot.f64 (*.f64 q #s(literal 2 binary64)) p))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(fabs.f64 r)
r
(fabs.f64 p)
p
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))
(hypot.f64 (*.f64 q #s(literal 2 binary64)) p)
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))
(*.f64 q q)
q
#s(literal 4 binary64)
(*.f64 p p)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) 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 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) #s(literal -1/2 binary64) (*.f64 (/.f64 q r) q)) r)) r))
(*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) #s(literal -1/2 binary64) (*.f64 (/.f64 q r) q)) r)) r)
(fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) #s(literal -1/2 binary64) (*.f64 (/.f64 q r) q)) r))
(*.f64 (/.f64 q r) (/.f64 q r))
(*.f64 (/.f64 (/.f64 q r) r) q)
(/.f64 q r)
q
r
#s(literal -1 binary64)
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) r) (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) #s(literal -1/2 binary64))
(/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r)
(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)
(+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p))
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
(fabs.f64 r)
(+.f64 (fabs.f64 p) p)
(fabs.f64 p)
p
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)

localize479.0ms (6.1%)

Memory
-27.1MiB live, 446.6MiB allocated; 74ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.24904252930532605
(*.f64 (/.f64 q r) (/.f64 q r))
accuracy7.847053589963742
(*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)
accuracy12.210412008988268
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy30.337614899639753
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
accuracy0.0078125
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))
accuracy18.457642952110223
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))
accuracy27.805788463695524
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))
accuracy37.924175521892245
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
accuracy6.989139215524345
(/.f64 (*.f64 (neg.f64 q) q) r)
accuracy22.686877562878944
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r)))
accuracy34.65027114258719
#s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))
accuracy36.861780275429346
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) r)
accuracy60.40778960121433
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
accuracy6.989139215524345
(/.f64 (*.f64 (neg.f64 q) q) r)
accuracy17.907228467987558
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
accuracy22.686877562878944
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
accuracy33.6765911306344
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64))
Samples
138.0ms61×0valid
115.0ms85×2valid
106.0ms110×1valid
Compiler

Compiled 497 to 67 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 193.0ms
ival-mult: 46.0ms (23.8% of total)
adjust: 44.0ms (22.8% of total)
ival-div: 28.0ms (14.5% of total)
ival-add: 27.0ms (14% of total)
ival-sqrt: 21.0ms (10.9% of total)
ival-sub: 14.0ms (7.3% of total)
ival-pow2: 8.0ms (4.1% of total)
ival-fabs: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.7%)

Memory
34.4MiB live, 119.6MiB allocated; 10ms collecting garbage
Counts
20 → 204
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64))
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) 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))
(*.f64 #s(literal -1/2 binary64) r)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r)))
#s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))
(/.f64 (*.f64 (neg.f64 q) q) r)
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))
(fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) 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 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
(*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)
(*.f64 (/.f64 q r) (/.f64 q r))
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
Outputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 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))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 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))))))))))
(* 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)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(* 2 q)
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow p 2) (- (* 1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow p 2) (- (* (pow p 2) (+ (* -1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) 1/2)
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(+ (* 1/2 p) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)))
(* 4 (pow q 2))
(+ (* 4 (pow q 2)) (pow p 2))
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* -1/4 (* (* (pow p 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* (pow p 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))
(* (pow p 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) (pow p 2))))))
(* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (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)))))) (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))
p
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))
(* p (- (* 1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) p))) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 4) (pow p 4)))) 1/2))
(* -1 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* 2 (/ (pow q 4) (pow p 4))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* 1/2 (/ p r))
(* p (- (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r)))) (* 1/2 (/ 1 p))))
(* 1/2 p)
(* p (+ 1/2 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)))
(pow p 2)
(* (pow p 2) (+ 1 (* 4 (/ (pow q 2) (pow p 2)))))
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p))))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* (pow p 2) (+ (* -1 (/ (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))) p)) (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))))
(* -1 (* p (+ (* -1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))))
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))))
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow p 2))) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (* -1 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2) p)) (* 1/2 (/ 1 r)))))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 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))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 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))))))))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (+ (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/32 (/ (pow p 2) (pow q 3)))) (* 1/8 (/ 1 q))))))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (+ (* -1/32 (/ (* p r) (pow q 3))) (+ (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/32 (/ (pow p 2) (pow q 3))))) (* 1/8 (/ 1 q))))))))
(* -1/8 (/ p q))
(+ (* -1/8 (/ p q)) (* 1/4 (/ r q)))
(+ (* -1/8 (/ p q)) (* r (+ (* r (+ (* 1/64 (/ p (pow q 3))) (* 1/32 (/ p (pow q 3))))) (* 1/4 (/ 1 q)))))
(+ (* -1/8 (/ p q)) (* r (+ (* r (+ (* -1/32 (/ r (pow q 3))) (+ (* 1/64 (/ p (pow q 3))) (* 1/32 (/ p (pow q 3)))))) (* 1/4 (/ 1 q)))))
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* (pow r 2) (+ (* -1/1024 (/ (pow r 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(* -1/2 r)
(* -1 (/ (pow q 2) r))
(/ (+ (* -1 (pow q 2)) (* 1/2 (* r (+ (fabs p) (fabs r))))) r)
(/ (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ (fabs p) (fabs r)))))) r)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* -1 (/ (pow q 2) (pow r 2)))
(/ (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))) (pow r 2))
(/ (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))) (pow r 2))
(/ (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))) r)
(/ (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))) r)
(/ (pow q 2) (pow r 2))
(* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))
(/ (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))))) 1/2))
1/2
(+ 1/2 (* -1 (/ (pow q 2) (pow r 2))))
(+ 1/2 (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (* -1 (/ (pow q 2) (pow r 2)))))
(+ 1/2 (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 4) (pow r 4)))) 1/2))
-1/2
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2))
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r))))) r)) 1/2)))
(- (/ (pow q 2) (pow r 2)) 1/2)
(- (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))) 1/2)
(- (+ (* -1 (/ (+ (* -1 (* p (pow q 2))) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) r))) (pow r 3))) (/ (pow q 2) (pow r 2))) 1/2)
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)))))
(- (* -1 (/ (+ (* -1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) r)) r)) 1/2)
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (* -1 (/ (pow p 2) (pow r 3)))) (/ 1 r)))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (+ (* -1 (/ (pow p 2) (pow r 3))) (* (pow q 2) (+ (* 2 (/ (pow p 2) (pow r 5))) (+ (* 3 (/ p (pow r 4))) (+ (* 4 (/ (pow p 2) (pow r 5))) (/ 1 (pow r 3)))))))) (/ 1 r)))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (+ (* -1 (/ (pow p 2) (pow r 3))) (* (pow q 2) (+ (* 2 (/ (pow p 2) (pow r 5))) (+ (* 3 (/ p (pow r 4))) (+ (* 4 (/ (pow p 2) (pow r 5))) (+ (* (pow q 2) (- (+ (* -16 (/ (pow p 2) (pow r 7))) (+ (* -10 (/ p (pow r 6))) (+ (* -8 (/ (pow p 2) (pow r 7))) (* -6 (/ (pow p 2) (pow r 7)))))) (* 2 (/ 1 (pow r 5))))) (/ 1 (pow r 3))))))))) (/ 1 r)))))
(+ 1/2 (* (pow q 2) (- (* -1 (/ p (pow r 3))) (/ 1 (pow r 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ p (pow r 3))) (* (pow q 2) (+ (* 2 (/ p (pow r 5))) (+ (* 3 (/ 1 (pow r 4))) (* 4 (/ p (pow r 5))))))) (/ 1 (pow r 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ p (pow r 3))) (* (pow q 2) (+ (* 2 (/ p (pow r 5))) (+ (* 3 (/ 1 (pow r 4))) (+ (* 4 (/ p (pow r 5))) (* (pow q 2) (- (+ (* -16 (/ p (pow r 7))) (+ (* -8 (/ p (pow r 7))) (* -6 (/ p (pow r 7))))) (* 10 (/ 1 (pow r 6)))))))))) (/ 1 (pow r 2)))))
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(+ p (* 2 (/ (pow q 2) p)))
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
(* 1/2 (- (+ (fabs p) (fabs r)) p))
(+ (* -1 (/ (pow q 2) p)) (* 1/2 (- (+ (fabs p) (fabs r)) p)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (/ (pow q 2) (pow p 3)) (/ 1 p))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p))))
(- (+ (fabs p) (fabs r)) p)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))) p)
(+ (* -1 (/ (pow q 2) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)))
(* -1 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/2 (/ (* p (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/4 p) (* 1/2 r)))) (pow q 4))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 4))) (+ (* 1/2 (/ (* p (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))) 1))
(* 1/2 (/ (+ (* -1/4 p) (* 1/2 r)) q))
(/ (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r))))) q)
(/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))) q)
(/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (pow q 6))) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/1024 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/512 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))))))) q)
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* (pow q 2) (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) (pow q 2))) (/ 1 r)))
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* (pow q 2) (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) (* (pow q 2) r))) (+ (* 1/2 (/ 1 (pow q 2))) (/ 1 (pow r 2)))))
(* (pow q 2) (- (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2)) (/ 1 r)))
(* (pow q 2) (+ 4 (/ (pow p 2) (pow q 2))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/2 (* p (+ (* -1/4 p) (* 1/2 r))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/4 p) (* 1/2 r)))) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* p (+ (* -1/4 p) (* 1/2 r)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1/2 (/ (+ (* -1/4 p) (* 1/2 r)) q))
(* -1 (/ (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r))))) q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))) q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (pow q 6))) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/1024 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/512 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))))))) q))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/128 (/ (pow p 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))
Calls

9 calls:

TimeVariablePointExpression
17.0ms
q
@inf
((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/ (* (neg q) q) r) (sqrt (+ (* (* q q) 4) (* p p))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (+ (* (* (/ q r) (/ q r)) -1) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (* (/ q r) (/ q r)) -1) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2)) r) (* (/ q r) (/ q r)) (+ (* (* q q) 4) (* p p)) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2))
8.0ms
q
@0
((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/ (* (neg q) q) r) (sqrt (+ (* (* q q) 4) (* p p))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (+ (* (* (/ q r) (/ q r)) -1) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (* (/ q r) (/ q r)) -1) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2)) r) (* (/ q r) (/ q r)) (+ (* (* q q) 4) (* p p)) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2))
5.0ms
p
@inf
((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/ (* (neg q) q) r) (sqrt (+ (* (* q q) 4) (* p p))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (+ (* (* (/ q r) (/ q r)) -1) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (* (/ q r) (/ q r)) -1) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2)) r) (* (/ q r) (/ q r)) (+ (* (* q q) 4) (* p p)) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2))
5.0ms
p
@0
((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/ (* (neg q) q) r) (sqrt (+ (* (* q q) 4) (* p p))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (+ (* (* (/ q r) (/ q r)) -1) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (* (/ q r) (/ q r)) -1) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2)) r) (* (/ q r) (/ q r)) (+ (* (* q q) 4) (* p p)) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2))
4.0ms
p
@-inf
((* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* -1/2 r) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/ (* (neg q) q) r) (sqrt (+ (* (* q q) 4) (* p p))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) 1/2) (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* p p)))) (+ (* (* (/ q r) (/ q r)) -1) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (+ (* (* (/ q r) (/ q r)) -1) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2)) r) (* (/ q r) (/ q r)) (+ (* (* q q) 4) (* p p)) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2))

simplify220.0ms (2.8%)

Memory
0.2MiB live, 248.3MiB allocated; 109ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010535566
133875366
083635045
Stop Event
iter limit
node limit
Counts
204 → 202
Calls
Call 1
Inputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 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))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(+ (* 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))))))))))
(* 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)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(* 2 q)
(+ (* 1/4 (/ (pow p 2) q)) (* 2 q))
(+ (* 2 q) (* (pow p 2) (+ (* -1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))
(+ (* 2 q) (* (pow p 2) (+ (* (pow p 2) (- (* 1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))
(* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))
(+ (* -1/8 (/ (pow p 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow p 2) (- (* 1/128 (/ (pow p 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow p 2) (- (* (pow p 2) (+ (* -1/1024 (/ (pow p 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(- (+ (fabs p) (fabs r)) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* -1/4 (/ (pow p 2) q)))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (fabs p) (+ (fabs r) (* (pow p 2) (- (* (pow p 2) (+ (* -1/512 (/ (pow p 2) (pow q 5))) (* 1/64 (/ 1 (pow q 3))))) (* 1/4 (/ 1 q)))))) (* 2 q))
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) 1/2)
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(+ (* 1/2 p) (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)))
(* 4 (pow q 2))
(+ (* 4 (pow q 2)) (pow p 2))
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(* -1/2 p)
(* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2))
(* p (- (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)))) 1/2))
(* -1/4 (* (* (pow p 2) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(* (pow p 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))
(* (pow p 2) (+ (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))) (+ (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) (pow p 2))))))
(* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (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)))))) (* 1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))
p
(* p (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2))))))
(* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6)))))))
(* p (- (* 1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) p))) 1/2))
(* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) p)) (/ (pow q 4) (pow p 4)))) 1/2))
(* -1 p)
(* p (- (+ (/ (fabs p) p) (/ (fabs r) p)) 1))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (+ (/ (fabs p) p) (/ (fabs r) p))) 1))
(* p (- (+ (* 2 (/ (pow q 4) (pow p 4))) (+ (/ (fabs p) p) (/ (fabs r) p))) (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* 1/2 (/ p r))
(* p (- (+ (* -1 (/ (pow q 2) (* p (pow r 2)))) (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r)))) (* 1/2 (/ 1 p))))
(* 1/2 p)
(* p (+ 1/2 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)))
(pow p 2)
(* (pow p 2) (+ 1 (* 4 (/ (pow q 2) (pow p 2)))))
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p))))
(* -1 (* p (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) r) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow q 2) r) p)) (* -1 (pow q 2))) p)) (* 1/2 (- (+ (fabs p) (fabs r)) r))) p)) 1/2)))
(* (pow p 2) (+ (* -1 (/ (+ (* -1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* -1/2 (/ (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))) p))) p)) (* -1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))))))
(* -1 (* p (+ (* -1/2 (* (/ r p) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/4 (* (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))) (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2)))))))))
(* -1 (* p (+ 1 (* 2 (/ (pow q 2) (pow p 2))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (+ 1 (+ (* -2 (/ (pow q 4) (pow p 4))) (+ (* 2 (/ (pow q 2) (pow p 2))) (* 4 (/ (pow q 6) (pow p 6))))))))
(* -1 (* p (- (* -1/2 (/ (+ (fabs p) (fabs r)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) p)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow p 2))) p)) (* 1/2 (+ (fabs p) (fabs r)))) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) p)))) p)) 1)))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 2 (/ (pow q 4) (pow p 2))) (* 2 (pow q 2))) p)))) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (* -1 (/ (* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r)))) 1/2)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2) p)) (* 1/2 (/ 1 r)))))
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 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))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* -1/4 (* (* r (- 1 (/ (pow p 2) (+ (* 4 (pow q 2)) (pow p 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))) (* 1/2 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))
(+ (* 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))))))))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/4 (/ (* p r) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q)))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (+ (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/32 (/ (pow p 2) (pow q 3)))) (* 1/8 (/ 1 q))))))))
(+ (* -1/8 (/ (pow p 2) q)) (+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* r (+ (* 1/4 (/ p q)) (* r (- (+ (* -1/32 (/ (* p r) (pow q 3))) (+ (* 1/64 (/ (pow p 2) (pow q 3))) (* 1/32 (/ (pow p 2) (pow q 3))))) (* 1/8 (/ 1 q))))))))
(* -1/8 (/ p q))
(+ (* -1/8 (/ p q)) (* 1/4 (/ r q)))
(+ (* -1/8 (/ p q)) (* r (+ (* r (+ (* 1/64 (/ p (pow q 3))) (* 1/32 (/ p (pow q 3))))) (* 1/4 (/ 1 q)))))
(+ (* -1/8 (/ p q)) (* r (+ (* r (+ (* -1/32 (/ r (pow q 3))) (+ (* 1/64 (/ p (pow q 3))) (* 1/32 (/ p (pow q 3)))))) (* 1/4 (/ 1 q)))))
(+ (* -1/8 (/ (pow r 2) q)) (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* 1/128 (/ (pow r 2) (pow q 3))) (* 1/8 (/ 1 q)))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (* 2 q))) (* (pow r 2) (- (* (pow r 2) (+ (* -1/1024 (/ (pow r 2) (pow q 5))) (* 1/128 (/ 1 (pow q 3))))) (* 1/8 (/ 1 q)))))
(* -1/2 r)
(* -1 (/ (pow q 2) r))
(/ (+ (* -1 (pow q 2)) (* 1/2 (* r (+ (fabs p) (fabs r))))) r)
(/ (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ (fabs p) (fabs r)))))) r)
(- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(* -1 (/ (pow q 2) (pow r 2)))
(/ (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))) (pow r 2))
(/ (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))) (pow r 2))
(/ (+ (* -1 (pow q 2)) (* 1/2 (* r (+ p (+ (fabs p) (fabs r)))))) r)
(/ (+ (* -1 (pow q 2)) (* r (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))))) r)
(/ (pow q 2) (pow r 2))
(* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))
(/ (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)
(* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)))) 1/2))
(* r (- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))) 1/2))
(* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))))) 1/2))
1/2
(+ 1/2 (* -1 (/ (pow q 2) (pow r 2))))
(+ 1/2 (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (* -1 (/ (pow q 2) (pow r 2)))))
(+ 1/2 (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (+ (* -1 (/ (pow q 2) (pow r 2))) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) (pow r 4))))))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (+ (* 1/2 (/ (+ (fabs p) (fabs r)) r)) (/ (pow q 4) (pow r 4)))) 1/2))
-1/2
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)
(- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2)
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
(* r (- (+ (* -1 (/ (pow q 2) (pow r 2))) (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))) 1/2))
(* 1/2 r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (* 1/2 (- (+ (fabs p) (fabs r)) p))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1/2 p) (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r))) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* p (pow q 2)) r)) (* -1 (pow q 2))) r)) (+ (* -1/2 p) (* 1/2 (+ (fabs p) (fabs r))))) r)) 1/2)))
(- (/ (pow q 2) (pow r 2)) 1/2)
(- (+ (/ (* p (pow q 2)) (pow r 3)) (/ (pow q 2) (pow r 2))) 1/2)
(- (+ (* -1 (/ (+ (* -1 (* p (pow q 2))) (* -1/4 (/ (+ (* -16 (pow q 4)) (* 4 (pow q 4))) r))) (pow r 3))) (/ (pow q 2) (pow r 2))) 1/2)
(* -1 (* r (- (* -1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (+ (fabs p) (fabs r))) (/ (pow q 2) r)) r)) 1/2)))
(* -1 (* r (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow q 2)) (/ (pow q 4) (pow r 2))) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)) 1/2)))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ (fabs p) (fabs r)) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ (fabs p) (fabs r)))) r)))))
(- (* -1 (/ (+ (* -1/2 (+ p (+ (fabs p) (fabs r)))) (/ (pow q 2) r)) r)) 1/2)
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow q 2) r)) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)))))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow (- p r) 5))) (/ 1 (pow (- p r) 3)))) (/ 1 (- p r)))))
(+ (* 1/2 p) (* 1/2 (- (+ (fabs p) (fabs r)) r)))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (* -1 (/ (pow p 2) (pow r 3)))) (/ 1 r)))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (+ (* -1 (/ (pow p 2) (pow r 3))) (* (pow q 2) (+ (* 2 (/ (pow p 2) (pow r 5))) (+ (* 3 (/ p (pow r 4))) (+ (* 4 (/ (pow p 2) (pow r 5))) (/ 1 (pow r 3)))))))) (/ 1 r)))))
(+ (* 1/2 p) (+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (+ (* -1 (/ p (pow r 2))) (+ (* -1 (/ (pow p 2) (pow r 3))) (* (pow q 2) (+ (* 2 (/ (pow p 2) (pow r 5))) (+ (* 3 (/ p (pow r 4))) (+ (* 4 (/ (pow p 2) (pow r 5))) (+ (* (pow q 2) (- (+ (* -16 (/ (pow p 2) (pow r 7))) (+ (* -10 (/ p (pow r 6))) (+ (* -8 (/ (pow p 2) (pow r 7))) (* -6 (/ (pow p 2) (pow r 7)))))) (* 2 (/ 1 (pow r 5))))) (/ 1 (pow r 3))))))))) (/ 1 r)))))
(+ 1/2 (* (pow q 2) (- (* -1 (/ p (pow r 3))) (/ 1 (pow r 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ p (pow r 3))) (* (pow q 2) (+ (* 2 (/ p (pow r 5))) (+ (* 3 (/ 1 (pow r 4))) (* 4 (/ p (pow r 5))))))) (/ 1 (pow r 2)))))
(+ 1/2 (* (pow q 2) (- (+ (* -1 (/ p (pow r 3))) (* (pow q 2) (+ (* 2 (/ p (pow r 5))) (+ (* 3 (/ 1 (pow r 4))) (+ (* 4 (/ p (pow r 5))) (* (pow q 2) (- (+ (* -16 (/ p (pow r 7))) (+ (* -8 (/ p (pow r 7))) (* -6 (/ p (pow r 7))))) (* 10 (/ 1 (pow r 6)))))))))) (/ 1 (pow r 2)))))
(* 1/2 (- (+ (fabs p) (fabs r)) r))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (/ (pow q 2) (pow r 3)) (/ 1 r))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) r)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow r 5))) (/ 1 (pow r 3)))) (/ 1 r))))
(+ p (* 2 (/ (pow q 2) p)))
(+ p (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))
(+ p (* (pow q 2) (+ (* (pow q 2) (- (* 4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))
(* 1/2 (- (+ (fabs p) (fabs r)) p))
(+ (* -1 (/ (pow q 2) p)) (* 1/2 (- (+ (fabs p) (fabs r)) p)))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (/ (pow q 2) (pow p 3)) (/ 1 p))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (* (pow q 2) (- (* (pow q 2) (+ (* -2 (/ (pow q 2) (pow p 5))) (/ 1 (pow p 3)))) (/ 1 p))))
(- (+ (fabs p) (fabs r)) p)
(- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) p)))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow p 3))) (* 2 (/ 1 p)))))) p)
(- (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow p 5))) (* 2 (/ 1 (pow p 3))))) (* 2 (/ 1 p)))))) p)
(+ (* -1 (/ (pow q 2) r)) (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)))
(* -1 q)
(* q (- (* 1/2 (/ (+ (fabs p) (fabs r)) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/2 (/ (* p (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/4 p) (* 1/2 r)))) (pow q 4))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 4))) (+ (* 1/2 (/ (* p (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))))))) 1))
(* 1/2 (/ (+ (* -1/4 p) (* 1/2 r)) q))
(/ (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r))))) q)
(/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))) q)
(/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (pow q 6))) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/1024 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/512 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))))))) q)
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow r 2) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* (pow q 2) (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) r) (pow q 2))) (/ 1 r)))
(* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2)))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2))))))
(* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (* 1/2 (/ (+ (fabs p) (fabs r)) q))) 1))
(* q (- (+ (* -1/8 (/ (pow p 2) (pow q 2))) (+ (* 1/128 (/ (pow p 4) (pow q 4))) (* 1/2 (/ (+ (fabs p) (fabs r)) q)))) 1))
(* -2 q)
(* q (- (+ (/ (fabs p) q) (/ (fabs r) q)) 2))
(* q (- (+ (* -1/4 (/ (pow p 2) (pow q 2))) (+ (/ (fabs p) q) (/ (fabs r) q))) 2))
(* q (- (+ (* 1/64 (/ (pow p 4) (pow q 4))) (+ (/ (fabs p) q) (/ (fabs r) q))) (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* (pow q 2) (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) (* (pow q 2) r))) (+ (* 1/2 (/ 1 (pow q 2))) (/ 1 (pow r 2)))))
(* (pow q 2) (- (/ (* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)) (pow q 2)) (/ 1 r)))
(* (pow q 2) (+ 4 (/ (pow p 2) (pow q 2))))
q
(* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (- p r) 2)) (* 1/128 (/ (pow (- p r) 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/2 (* p (+ (* -1/4 p) (* 1/2 r))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/4 p) (* 1/2 r)))) (pow q 2))) (+ (* 1/128 (/ (pow r 4) (pow q 2))) (+ (* 1/32 (/ (* (pow p 2) (pow r 2)) (pow q 2))) (* 1/2 (* p (+ (* -1/4 p) (* 1/2 r)))))))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1/2 (/ (+ (* -1/4 p) (* 1/2 r)) q))
(* -1 (/ (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r))))) q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))) q))
(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (pow q 6))) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/1024 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/512 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))))))) q))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow r 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (+ 2 (* 1/4 (/ (pow p 2) (pow q 2))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (* 1/4 (/ (pow p 2) (pow q 2)))))))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow p 4) (pow q 4))) (+ (* 1/512 (/ (pow p 6) (pow q 6))) (* 1/4 (/ (pow p 2) (pow q 2))))))))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow p 2) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow p 2)) (* 1/128 (/ (pow p 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow p 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* 1/64 (/ (pow p 4) (pow q 2))) (* 1/4 (pow p 2))) q)))) q)) 2)))
Outputs
(* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 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))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (*.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))
(+ (* 1/2 (- (+ (fabs p) (fabs r)) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.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) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 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))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) #s(literal 3 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))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))) p (*.f64 (*.f64 #s(literal 1/2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
(* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) r) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))))
(+ (* -1/4 (* (* p (- 1 (/ (pow r 2) (+ (* 4 (pow q 2)) (pow r 2))))) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (* 1/2 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))
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q
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(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))) q))
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(* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4)))) (pow q 4))) (+ (* -1 (/ (* (+ (* -1/4 p) (* 1/2 r)) (+ (* 1/256 (pow r 6)) (* 1/8 (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))))) (pow q 6))) (+ (* -1/16 (/ (* p (* (pow r 2) (+ (* -1/64 (pow r 4)) (* 1/256 (pow r 4))))) (pow q 6))) (+ (* -1/16 (/ (* (pow r 2) (+ (* -1/4 p) (* 1/2 r))) (pow q 2))) (+ (* -1/128 (/ (* p (pow r 4)) (pow q 4))) (+ (* -1/256 (/ (* p (pow r 4)) (pow q 4))) (+ (* 1/1024 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/512 (/ (* p (pow r 6)) (pow q 6))) (+ (* 1/32 (/ (* p (pow r 2)) (pow q 2))) (* 1/2 (+ (* -1/4 p) (* 1/2 r)))))))))))) q))
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(* -1 (* q (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow r 2)) (* 1/128 (/ (pow r 4) (pow q 2)))) q)) (* 1/2 (+ (fabs p) (fabs r)))) q)) 1)))
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rewrite132.0ms (1.7%)

Memory
-11.0MiB live, 126.9MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081593
0113585
1460582
03836563
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
20 → 205
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64))
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) 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))
(*.f64 #s(literal -1/2 binary64) r)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r)))
#s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))
(/.f64 (*.f64 (neg.f64 q) q) r)
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64))
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))
(fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) 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 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
(*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r)
(*.f64 (/.f64 q r) (/.f64 q r))
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))
(fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
(/.f64 (-.f64 (pow.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(literal 2 binary64))) (-.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) (-.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p)) (pow.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
(/.f64 (+.f64 (pow.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))))
(/.f64 (+.f64 (pow.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(literal 3 binary64))) (fma.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) (-.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p)) (pow.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(literal 2 binary64))))
(fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
(fma.f64 p #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))) (/.f64 (pow.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))))
(-.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) (*.f64 (neg.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64))) p))
(-.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) (*.f64 (neg.f64 p) #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) (-.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p)) (pow.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) (-.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p)) (pow.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
(+.f64 #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))) (*.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p))
#s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64))
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (-.f64 (fabs.f64 r) (-.f64 r (fabs.f64 p))) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) 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))
(*.f64 #s(literal -1/2 binary64) r)
(*.f64 r #s(literal -1/2 binary64))
(neg.f64 (*.f64 r #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r)))
#s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))
(*.f64 (/.f64 q r) (neg.f64 q))
(*.f64 (neg.f64 q) (/.f64 q r))
(*.f64 q (/.f64 (neg.f64 q) r))
(/.f64 (*.f64 q q) (neg.f64 r))
(/.f64 (*.f64 (neg.f64 q) q) (neg.f64 (neg.f64 r)))
(/.f64 (*.f64 (neg.f64 q) q) r)
(neg.f64 (*.f64 (/.f64 q r) q))
(*.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)) #s(literal 1/4 binary64)))
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(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal -1/4 binary64))) (pow.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)) #s(literal 1/2 binary64)))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal -1/4 binary64))) (pow.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal -1/4 binary64))) (pow.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) (/.f64 #s(literal 1/2 binary64) r)))

eval69.0ms (0.9%)

Memory
1.1MiB live, 98.2MiB allocated; 12ms collecting garbage
Compiler

Compiled 29 240 to 2 307 computations (92.1% saved)

prune33.0ms (0.4%)

Memory
1.5MiB live, 48.8MiB allocated; 1ms collecting garbage
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New4037410
Fresh3912
Picked235
Done055
Total40824432
Accuracy
91.8%
Counts
432 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (*.f64 (/.f64 q r) (neg.f64 q))))))
21.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (*.f64 q q) r) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
7.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) #s(approx (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2) (*.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64)))) r))
26.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 q r)) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
19.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
20.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
15.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 #s(approx (+ (* (* q q) 4) (* p p)) (*.f64 (fma.f64 (/.f64 p q) (/.f64 p q) #s(literal 4 binary64)) (*.f64 q q))))) #s(literal 1/2 binary64)))
32.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (*.f64 q #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
4.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64)) p (*.f64 r #s(literal 1/2 binary64))) (*.f64 r p)) r))))
9.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64)) r) (/.f64 #s(literal 1/2 binary64) p)) r))))
5.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 #s(approx (+ (/ 1/2 p) (/ (+ (* (/ (+ (fabs r) (fabs p)) p) -1/2) -1/2) r)) (/.f64 #s(literal 1/2 binary64) p)) r))))
19.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (* (/ q r) (/ q r)) -1) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2)) (/.f64 (*.f64 (neg.f64 q) q) (*.f64 r r))) r))
2.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
6.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
5.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
2.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
33.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
35.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (-.f64 (-.f64 (/.f64 (neg.f64 p) (*.f64 r r)) (/.f64 (*.f64 p p) (pow.f64 r #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) r)) (*.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))))
13.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (/.f64 q r) (neg.f64 q) (fma.f64 (fabs.f64 p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r)))))
28.2%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))))
29.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (*.f64 (/.f64 q r) (neg.f64 q)))))
37.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (fma.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r))))
48.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
10.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (fabs p)) (- (fabs r) r)) (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))))
Compiler

Compiled 3 503 to 1 166 computations (66.7% saved)

regimes72.0ms (0.9%)

Memory
31.8MiB live, 78.3MiB allocated; 2ms collecting garbage
Counts
43 → 3
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (fabs p)) (- (fabs r) r)) (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (fma.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (*.f64 (/.f64 q r) (neg.f64 q)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (*.f64 q #s(literal 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) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 #s(approx (+ (/ 1/2 p) (/ (+ (* (/ (+ (fabs r) (fabs p)) p) -1/2) -1/2) r)) (/.f64 #s(literal 1/2 binary64) p)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (* (/ q r) (/ q r)) -1) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2)) (/.f64 (*.f64 (neg.f64 q) q) (*.f64 r r))) 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 #s(literal 2 binary64) q))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (/.f64 q r) (neg.f64 q) (fma.f64 (fabs.f64 p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 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 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) 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)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (*.f64 (/.f64 q r) (neg.f64 q))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (sqrt.f64 (*.f64 p p))) 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) (-.f64 (/.f64 (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) (neg.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64)) r) (/.f64 #s(literal 1/2 binary64) p)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 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)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (*.f64 q q) r) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 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 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64)) p (*.f64 r #s(literal 1/2 binary64))) (*.f64 r p)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 #s(approx (+ (* (* q q) 4) (* p p)) (*.f64 (fma.f64 (/.f64 p q) (/.f64 p q) #s(literal 4 binary64)) (*.f64 q q))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) #s(approx (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2) (*.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #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 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) 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 (fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (*.f64 q q) r) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (*.f64 q q) r) (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (*.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 #s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) 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)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (-.f64 (-.f64 (/.f64 (neg.f64 p) (*.f64 r r)) (/.f64 (*.f64 p p) (pow.f64 r #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) r)) (*.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) 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)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 q r)) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 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))) #s(literal 1/2 binary64)) (+.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 2 binary64))))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (-.f64 (-.f64 (/.f64 (neg.f64 p) (*.f64 r r)) (/.f64 (*.f64 p p) (pow.f64 r #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) r)) (*.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
Calls

7 calls:

12.0ms
p
11.0ms
q
10.0ms
r
9.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
9.0ms
(pow.f64 q #s(literal 2 binary64))
Results
AccuracySegmentsBranch
72.8%3(pow.f64 q #s(literal 2 binary64))
72.8%3(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
60.2%3(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
60.2%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
63.9%5p
67.7%3r
72.8%3q
Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes30.0ms (0.4%)

Memory
-18.1MiB live, 32.5MiB allocated; 4ms collecting garbage
Counts
38 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (fabs p)) (- (fabs r) r)) (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (fma.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (*.f64 (/.f64 q r) (neg.f64 q)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) #s(approx (+ (* (+ (fabs p) (- (fabs r) r)) 1/2) (/ (* (neg q) q) r)) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (* (* q q) 4) (* r r))) (*.f64 q #s(literal 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) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 #s(approx (+ (/ 1/2 p) (/ (+ (* (/ (+ (fabs r) (fabs p)) p) -1/2) -1/2) r)) (/.f64 #s(literal 1/2 binary64) p)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (+ (* (* (/ q r) (/ q r)) -1) (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2)) (/.f64 (*.f64 (neg.f64 q) q) (*.f64 r r))) 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 #s(literal 2 binary64) q))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (/.f64 q r) (neg.f64 q) (fma.f64 (fabs.f64 p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 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 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) 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)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (*.f64 (/.f64 q r) (neg.f64 q))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(approx (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) #s(literal 1/2 binary64)) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 r) r) (sqrt.f64 (*.f64 p p))) 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) (-.f64 (/.f64 (fma.f64 (+.f64 (-.f64 (fabs.f64 r) r) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) p)) (neg.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) p) (/.f64 (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) r)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64)) r) (/.f64 #s(literal 1/2 binary64) p)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 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)))))) #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (*.f64 q q) r) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 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 (neg.f64 p) #s(approx (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2) (*.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 #s(literal -1/2 binary64) p) #s(literal -1/2 binary64)) p (*.f64 r #s(literal 1/2 binary64))) (*.f64 r p)) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 #s(approx (+ (* (* q q) 4) (* p p)) (*.f64 (fma.f64 (/.f64 p q) (/.f64 p q) #s(literal 4 binary64)) (*.f64 q q))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (*.f64 (/.f64 q r) (/.f64 q r)) #s(literal -1 binary64) #s(approx (+ (* (/ (+ (fabs r) (+ (fabs p) p)) r) 1/2) -1/2) (*.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #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 q r) (/.f64 q r)) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) 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 (fma.f64 (/.f64 #s(literal -1 binary64) r) (/.f64 (*.f64 q q) r) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) r))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (*.f64 q q) r) (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p)))) (*.f64 r p) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p #s(approx (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2) (fma.f64 (+.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) r)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) p) (-.f64 #s(literal 1 binary64) (*.f64 r (/.f64 r (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))) (*.f64 #s(literal 1/2 binary64) r))) p (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 #s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) q) #s(literal 4 binary64)) (*.f64 q q))))))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
Calls

3 calls:

9.0ms
q
8.0ms
(pow.f64 q #s(literal 2 binary64))
8.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
70.5%2q
70.5%2(pow.f64 q #s(literal 2 binary64))
70.5%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes10.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (fabs p)) (- (fabs r) r)) (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (fma.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r))))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (fma.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
Calls

4 calls:

2.0ms
q
2.0ms
r
2.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
2.0ms
(pow.f64 q #s(literal 2 binary64))
Results
AccuracySegmentsBranch
51.1%2r
60.7%2(pow.f64 q #s(literal 2 binary64))
60.7%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
60.7%2q
Compiler

Compiled 10 to 18 computations (-80% saved)

regimes16.0ms (0.2%)

Memory
-26.2MiB live, 20.9MiB allocated; 1ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (fabs p)) (- (fabs r) r)) (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (fabs p)) (- (fabs r) r)) (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
Calls

7 calls:

3.0ms
q
2.0ms
r
2.0ms
p
2.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
2.0ms
(pow.f64 q #s(literal 2 binary64))
Results
AccuracySegmentsBranch
33.5%1r
37.4%2(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
37.4%2(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
33.5%1p
38.4%2(pow.f64 q #s(literal 2 binary64))
38.4%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
38.4%2q
Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes11.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Accuracy

Total -20.4b remaining (-48%)

Threshold costs -20.4b (-48%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
Calls

6 calls:

2.0ms
q
2.0ms
r
2.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
2.0ms
(pow.f64 q #s(literal 2 binary64))
2.0ms
(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
Results
AccuracySegmentsBranch
33.5%1r
33.5%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))))))
33.5%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)))))))
33.5%1(pow.f64 q #s(literal 2 binary64))
33.5%1(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
33.5%1q
Compiler

Compiled 50 to 51 computations (-2% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7386758589594012e+149
9.00102832907694e+150
0.0ms
5.672452283539974e-129
2.2648075397464803e-115
Compiler

Compiled 25 to 25 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.932391036655998e+143
1.229503274831793e+144
Compiler

Compiled 25 to 25 computations (0% saved)

bsearch20.0ms (0.3%)

Memory
-29.5MiB live, 17.5MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
1.3914587187152245e+62
3.5202648502597747e+62
Samples
10.0ms48×1valid
3.0ms29×0valid
1.0ms2valid
Compiler

Compiled 400 to 309 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
adjust: 2.0ms (18.5% of total)
ival-pow2: 2.0ms (18.5% of total)
ival-add: 1.0ms (9.3% of total)
ival-sub: 1.0ms (9.3% of total)
ival-div: 1.0ms (9.3% of total)
ival-sqrt: 1.0ms (9.3% of total)
ival-mult: 1.0ms (9.3% of total)
ival-fabs: 1.0ms (9.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Memory
41.5MiB live, 87.9MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
1.2723275931607087e-68
2.5748343675699115e-66
Samples
17.0ms57×2valid
6.0ms32×1valid
2.0ms23×0valid
Compiler

Compiled 613 to 444 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
adjust: 6.0ms (28% of total)
ival-pow2: 4.0ms (18.6% of total)
ival-sub: 2.0ms (9.3% of total)
ival-div: 2.0ms (9.3% of total)
ival-sqrt: 2.0ms (9.3% of total)
ival-add: 2.0ms (9.3% of total)
ival-mult: 2.0ms (9.3% of total)
ival-fabs: 1.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify41.0ms (0.5%)

Memory
-9.1MiB live, 40.1MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101462
1201462
2507462
31656462
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))) (if (<=.f64 (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (-.f64 (-.f64 (/.f64 (neg.f64 p) (*.f64 r r)) (/.f64 (*.f64 p p) (pow.f64 r #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) r)) (*.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 140000000000000007186675868649961451957769996036828774059212800 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (fma.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 6313673899733619/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (fabs p)) (- (fabs r) r)) (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))))) #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)))))) (neg.f64 q))
Outputs
(if (<=.f64 (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))) (if (<=.f64 (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (-.f64 (-.f64 (/.f64 (neg.f64 p) (*.f64 r r)) (/.f64 (*.f64 p p) (pow.f64 r #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) r)) (*.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 7804371375789981/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))) (if (<=.f64 (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (+ (* (* (sqrt (/ 1 (+ (* (* q q) 4) (* r r)))) (+ (* (* -1/4 p) (- 1 (* r (/ r (+ (* (* q q) 4) (* r r)))))) (* 1/2 r))) p) (* (- (+ (fabs r) (fabs p)) (sqrt (+ (* (* q q) 4) (* r r)))) 1/2)) (fma.f64 (neg.f64 (+.f64 (+.f64 (/.f64 p (*.f64 r r)) (/.f64 (*.f64 p p) (pow.f64 r #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) r))) (*.f64 q q) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r)))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))))
(if (<=.f64 (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))) #s(literal 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 p (fabs.f64 p)) (-.f64 (fabs.f64 r) r))))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 140000000000000007186675868649961451957769996036828774059212800 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (fma.f64 (+.f64 (fabs.f64 p) p) #s(literal 1/2 binary64) (-.f64 (fabs.f64 r) r)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 6313673899733619/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (neg p) (- (* (/ (+ (- (fabs r) r) (fabs p)) p) -1/2) 1/2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (+ p (fabs p)) (- (fabs r) r)) (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))))) #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)))))) (neg.f64 q))

derivations580.0ms (7.4%)

Memory
6.2MiB live, 393.2MiB allocated; 98ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010555562
134155364
084835045
010234909
132784825
082534536
06203242
120443049
082632841
078638
0119638
1485634
04031621
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 482 to 105 computations (78.2% saved)

preprocess51.0ms (0.7%)

Memory
-1.0MiB live, 88.7MiB allocated; 7ms collecting garbage
Compiler

Compiled 1 832 to 582 computations (68.2% saved)

end0.0ms (0%)

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

Profiling

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