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

Time bar (total: 9.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample2.6s (28.3%)

Memory
100.9MiB live, 5 038.2MiB allocated; 706ms collecting garbage
Samples
993.0ms3 231×1valid
742.0ms2 216×2valid
330.0ms2 809×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
adjust: 479.0ms (28.2% of total)
ival-pow2: 367.0ms (21.6% of total)
ival-mult: 194.0ms (11.4% of total)
ival-add: 181.0ms (10.7% of total)
ival-sub: 148.0ms (8.7% of total)
ival-sqrt: 142.0ms (8.4% of total)
ival-div: 85.0ms (5% of total)
ival-fabs: 83.0ms (4.9% of total)
exact: 12.0ms (0.7% of total)
ival-true: 6.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain324.0ms (3.6%)

Memory
-13.9MiB live, 592.5MiB allocated; 148ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1490-2(3.078726355421301e-256 5.2602977197140566e-157 -1.5185890226161509e-257)(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
1380-0-(-.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))))))
10-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
00-0-q
00-0-(-.f64 p r)
00-0-(pow.f64 q #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(pow.f64 (-.f64 p r) #s(literal 2 binary64))
00-0-(fabs.f64 p)
00-0-(+.f64 (fabs.f64 p) (fabs.f64 r))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-#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-rescue1440
↳(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))overflow145
↳(pow.f64 q #s(literal 2 binary64))overflow62
↳(pow.f64 (-.f64 p r) #s(literal 2 binary64))overflow105
↳(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))overflow1
↳(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))overflow62
-.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))))))cancellation1381
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))underflow65
↳(pow.f64 (-.f64 p r) #s(literal 2 binary64))underflow13
↳(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))underflow65
*.f64(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))n*o10
Confusion
Predicted +Predicted -
+2071
-048
Precision
1.0
Recall
0.9951923076923077
Confusion?
Predicted +Predicted MaybePredicted -
+20701
-0048
Precision?
1.0
Recall?
0.9951923076923077
Freqs
test
numberfreq
049
1128
279
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
102.0ms212×1valid
48.0ms128×2valid
23.0ms172×0valid
Compiler

Compiled 220 to 58 computations (73.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
adjust: 21.0ms (24.3% of total)
ival-pow2: 20.0ms (23.1% of total)
ival-mult: 11.0ms (12.7% of total)
ival-sub: 10.0ms (11.6% of total)
ival-add: 9.0ms (10.4% of total)
ival-sqrt: 7.0ms (8.1% of total)
ival-fabs: 4.0ms (4.6% of total)
ival-div: 3.0ms (3.5% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess204.0ms (2.3%)

Memory
10.9MiB live, 104.0MiB allocated; 15ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069187
1145184
2323184
3882184
41431184
51984184
62215184
72491184
82798184
93143184
103638184
114071184
124550184
134883184
145265184
155549184
165788184
176041184
186598184
197201184
207872184
01820
03120
15020
28620
320520
437620
549420
654720
759520
862120
966520
1073220
1184920
1292020
1398020
14108220
15118820
16129620
17137520
18144920
19155720
20165420
21175520
22181720
23184920
24187920
25189920
26191920
0191919
Stop Event
1×iter limit
1×saturated
1×iter limit
1×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 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)) (fabs.f64 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
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶22.1%
(*.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)))))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify65.0ms (0.7%)

Memory
-2.9MiB live, 50.5MiB allocated; 3ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.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-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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01893
03193
15093
28693
320593
437693
549493
654793
759593
862193
966593
1073293
1184993
1292093
1398093
14108293
15118893
16129693
17137593
18144993
19155793
20165493
21175593
22181793
23184993
24187993
25189993
26191993
0191989
Stop Event
1×iter limit
1×saturated
1×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 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (fabs.f64 r)) (fabs.f64 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)) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(+.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)))))
(sqrt.f64 (fma.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 #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

localize92.0ms (1%)

Memory
2.9MiB live, 144.5MiB allocated; 4ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.02734375
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
accuracy0.1989152813336804
(*.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)))))))
accuracy32.55190166509327
(-.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))))))
accuracy34.37204673637358
(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
31.0ms86×0valid
27.0ms106×1valid
21.0ms64×2valid
Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-pow2: 30.0ms (48.6% of total)
adjust: 10.0ms (16.2% of total)
ival-mult: 5.0ms (8.1% of total)
ival-sub: 4.0ms (6.5% of total)
ival-sqrt: 4.0ms (6.5% of total)
ival-add: 4.0ms (6.5% of total)
ival-div: 2.0ms (3.2% of total)
ival-fabs: 2.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-4.9MiB live, 42.0MiB allocated; 6ms collecting garbage
Counts
6 → 128
Calls
Call 1
Inputs
(/.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))))))
(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))
Outputs
(+ (* 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))))
(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))))))))))
(pow r 2)
(+ (* -2 (* p r)) (pow r 2))
(+ (* p (+ p (* -2 r))) (pow r 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)))))))
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) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2)))))
(* (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)))
(* -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 (/ (pow r 2) p)) (* 2 r)) p))))
(+ (* 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))))
(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))))))))))
(+ (* -2 (* p r)) (pow p 2))
(+ (* r (+ r (* -2 p))) (pow p 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)))))))
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 p 2) (pow r 2)))))
(* (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)))
(* -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 (/ (pow p 2) r)) (* 2 p)) 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)
(- 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)
(* 4 (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))))))
(* 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)))))))
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)))
(* -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))))))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
p
@-inf
((/ 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))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2))
2.0ms
p
@0
((/ 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))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2))
2.0ms
r
@0
((/ 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))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2))
2.0ms
q
@0
((/ 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))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2))
2.0ms
p
@inf
((/ 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))))) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (pow (- p r) 2))

simplify259.0ms (2.9%)

Memory
-12.8MiB live, 220.6MiB allocated; 26ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06203242
120443049
278823021
081812821
Stop Event
1×iter limit
1×node limit
Counts
128 → 125
Calls
Call 1
Inputs
(+ (* 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))))
(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))))))))))
(pow r 2)
(+ (* -2 (* p r)) (pow r 2))
(+ (* p (+ p (* -2 r))) (pow r 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)))))))
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) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2)))))
(* (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)))
(* -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 (/ (pow r 2) p)) (* 2 r)) p))))
(+ (* 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))))
(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))))))))))
(+ (* -2 (* p r)) (pow p 2))
(+ (* r (+ r (* -2 p))) (pow p 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)))))))
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 p 2) (pow r 2)))))
(* (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)))
(* -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 (/ (pow p 2) r)) (* 2 p)) 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)
(- 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)
(* 4 (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))))))
(* 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)))))))
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)))
(* -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))))))))
Outputs
(+ (* 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))))
(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 (neg.f64 p) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r 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))))
(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))
(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 (/.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)) 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 (-.f64 (/.f64 (fma.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) 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) (/.f64 (/.f64 (neg.f64 (fma.f64 q q (*.f64 r (/.f64 (*.f64 q q) p)))) p) p)) #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 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) q) q) (/.f64 r (pow.f64 p #s(literal 3 binary64))) (-.f64 (/.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)
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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 r (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 q q (*.f64 r (/.f64 (*.f64 q q) p))) p))) p)) p)
(* (pow p 2) (+ 1 (+ (* -2 (/ r p)) (/ (pow r 2) (pow p 2)))))
(*.f64 (+.f64 (/.f64 (fma.f64 r (/.f64 r p) (*.f64 #s(literal -2 binary64) r)) p) #s(literal 1 binary64)) (*.f64 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) (fabs.f64 p)) r) 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) (fabs.f64 p)) r) #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) (fabs.f64 p)) r) #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) (fabs.f64 p)) r) (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) (fabs.f64 p))) r) (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 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 q q (*.f64 r (/.f64 (*.f64 q q) p)))) p)) r) (neg.f64 p)) #s(literal 1 binary64)))
(* -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)))))
(*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 r (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 q q (*.f64 r (/.f64 (*.f64 q q) p))) p))) p)))
(* (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)
(+ (* 4 (pow q 2)) (pow p 2))
(fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))
(+ (* -2 (* p r)) (+ (* 4 (pow q 2)) (pow p 2)))
(fma.f64 (fma.f64 #s(literal -2 binary64) r p) p (*.f64 (*.f64 q q) #s(literal 4 binary64)))
(+ (* 4 (pow q 2)) (+ (* r (+ r (* -2 p))) (pow p 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 p 2)))))
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(* -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 (-.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 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 (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 (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 2 binary64))) q)
(* 2 q)
(*.f64 #s(literal 2 binary64) q)
(* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))
(*.f64 (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)
(* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) q)
(* 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 (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #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)
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 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 binary64) (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal 1/2 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 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2)))
(*.f64 (-.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))) (neg.f64 q)) #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))
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64))) (neg.f64 q))
(* -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 (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #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)))) (neg.f64 q))

rewrite192.0ms (2.1%)

Memory
4.5MiB live, 245.1MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01867
03167
111467
278063
0882759
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 230
Calls
Call 1
Inputs
(/.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))))))
(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))
Outputs
#s(literal 1/2 binary64)
(*.f64 (neg.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 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 1 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 (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 (neg.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 (pow.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #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 (*.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 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 (/.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 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 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (-.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.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)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.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 p r) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 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 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 (neg.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 q q) #s(literal 4 binary64)) (neg.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64)) (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (-.f64 p r) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) q) q (neg.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64))))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 16 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 q #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (*.f64 q q) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (pow.f64 q #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 p r) q) #s(literal 2 binary64)) #s(literal 4 binary64))))))
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(/.f64 (pow.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 r (+.f64 r p) (*.f64 p p)) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))

eval54.0ms (0.6%)

Memory
17.5MiB live, 111.1MiB allocated; 16ms collecting garbage
Compiler

Compiled 16 240 to 1 941 computations (88% saved)

prune25.0ms (0.3%)

Memory
-25.9MiB live, 66.1MiB allocated; 4ms collecting garbage
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New33122353
Fresh000
Picked101
Done000
Total33222354
Accuracy
59.6%
Counts
354 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.8%
(/.f64 (-.f64 (*.f64 (*.f64 p #s(literal 1/2 binary64)) (*.f64 p #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.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 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 p #s(literal 1/2 binary64)) (*.f64 (-.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))))
17.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 p p) #s(literal 1/4 binary64)) (pow.f64 (*.f64 p p) #s(literal 1/4 binary64)) (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
▶4.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
15.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 p p)) (-.f64 (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) p)))
9.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.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 (pow.f64 (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 p (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))))
19.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.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)) #s(literal 2 binary64))))
12.9%
(*.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 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))))
12.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (*.f64 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 r p))))))
33.4%
(*.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))))
▶20.2%
(*.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)))
18.6%
#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 p p)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (*.f64 p (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) (*.f64 #s(literal 1/2 binary64) p))) r (*.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))))
16.8%
#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 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)))
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)))
11.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 q q) r) p (*.f64 q q))) r) r)) #s(literal 1/2 binary64)) r))
17.9%
#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)))
▶12.4%
#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))
12.0%
#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) (fabs.f64 p)) r) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
2.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
5.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
5.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 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))
▶34.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
Compiler

Compiled 1 692 to 1 104 computations (34.8% saved)

simplify195.0ms (2.2%)

Memory
27.8MiB live, 361.3MiB allocated; 34ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 p)
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff3
(fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
cost-diff1
(fabs.f64 p)
cost-diff1
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff3
(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)))
cost-diff0
#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))
cost-diff1
(fabs.f64 p)
cost-diff1
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
cost-diff2
(*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64))
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
(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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051428
082415
1149393
2344393
3920393
42446377
55937377
08404364
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#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) 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)))))) (*.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))
(*.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)
(-.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64))
(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
(+.f64 (fabs.f64 r) p)
(fabs.f64 r)
r
p
(fabs.f64 p)
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (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)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#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))
(*.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)
(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)))
(/.f64 #s(literal -2 binary64) r)
#s(literal -2 binary64)
r
(/.f64 (*.f64 q q) r)
(*.f64 q q)
q
(-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64))
(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
(+.f64 (fabs.f64 r) p)
(fabs.f64 r)
p
(fabs.f64 p)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(sqrt.f64 p)
p
(-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
r
(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)))
(*.f64 q q)
q
#s(literal 4 binary64)
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(-.f64 p r)
Outputs
#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) 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)))))) (*.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 (-.f64 (/.f64 (fma.f64 (fabs.f64 r) #s(literal 1/2 binary64) p) r) #s(literal 1/2 binary64)) r))
(*.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)
(*.f64 (-.f64 (/.f64 (fma.f64 (fabs.f64 r) #s(literal 1/2 binary64) p) r) #s(literal 1/2 binary64)) r)
(-.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (fma.f64 (fabs.f64 r) #s(literal 1/2 binary64) p) r) #s(literal 1/2 binary64))
(*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (fabs.f64 r) #s(literal 1/2 binary64) p) r)
(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)
(/.f64 (fma.f64 p #s(literal 2 binary64) (fabs.f64 r)) r)
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
(fma.f64 p #s(literal 2 binary64) (fabs.f64 r))
(+.f64 (fabs.f64 r) p)
(fabs.f64 r)
r
p
(fabs.f64 p)
p
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (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)))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 q q) r) p) (fabs.f64 r)) r) #s(literal 1 binary64)) r)) #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)
#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 (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 q q) r) p) (fabs.f64 r)) r) #s(literal 1 binary64)) r))
(*.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)
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 q q) r) p) (fabs.f64 r)) r) #s(literal 1 binary64)) r)
(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)))
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 q q) r) p) (fabs.f64 r)) r) #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) r)
#s(literal -2 binary64)
r
(/.f64 (*.f64 q q) r)
(*.f64 q q)
q
(-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) (fabs.f64 r)) r) #s(literal 1 binary64))
(/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)
(/.f64 (fma.f64 p #s(literal 2 binary64) (fabs.f64 r)) r)
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
(fma.f64 p #s(literal 2 binary64) (fabs.f64 r))
(+.f64 (fabs.f64 r) p)
(fabs.f64 r)
p
(fabs.f64 p)
p
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (+.f64 r 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 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(-.f64 (+.f64 r p) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(sqrt.f64 p)
p
(-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
r
(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)))
(*.f64 q q)
q
#s(literal 4 binary64)
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(-.f64 p r)

localize186.0ms (2.1%)

Memory
-18.6MiB live, 321.2MiB allocated; 41ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
accuracy0.1989152813336804
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
accuracy7.49628500487743
(sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
accuracy10.145583478853155
(-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
accuracy1.7759712853736476
(*.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)
accuracy1.9600314941708907
(/.f64 (*.f64 q q) r)
accuracy4.118939561225451
#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))
accuracy10.804755744613617
(-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64))
accuracy0.0078125
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
accuracy3.1844035975345504
(*.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)
accuracy6.971557237346787
#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))
accuracy10.795204012680962
(-.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) p)
accuracy14.97402394063221
#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
(neg.f64 q)
accuracy10.898588019799012
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
Samples
62.0ms194×0invalid
47.0ms28×2valid
34.0ms33×1valid
0.0ms1×0valid
Compiler

Compiled 384 to 46 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-add: 31.0ms (32% of total)
ival-mult: 18.0ms (18.6% of total)
adjust: 14.0ms (14.4% of total)
ival-pow2: 9.0ms (9.3% of total)
ival-div: 8.0ms (8.3% of total)
ival-sub: 7.0ms (7.2% of total)
ival-sqrt: 6.0ms (6.2% of total)
ival-fabs: 2.0ms (2.1% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series41.0ms (0.4%)

Memory
36.4MiB live, 81.1MiB allocated; 7ms collecting garbage
Counts
21 → 255
Calls
Call 1
Inputs
#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) p))
(*.f64 #s(literal -1/2 binary64) p)
(*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64))
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
(fabs.f64 p)
#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))
(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)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(sqrt.f64 p)
(-.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(*.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)
(-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 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))
(/.f64 (*.f64 q q) r)
(*.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)
(-.f64 r (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))))
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 p)
(* 1/2 (/ (+ (fabs p) (fabs r)) r))
(+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))
(+ (fabs p) (fabs r))
(+ p (+ (fabs p) (fabs r)))
(fabs p)
(- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)
(- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1)
(- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ r (* p (- 1 (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ r (* p (- (+ 1 (* -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))))
(- (+ r (* p (- (+ 1 (* 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))))
(* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* p (- 1 (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- 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 (- 1 (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
(+ (* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (- 1 (* -1 (* 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))))))))))
(sqrt p)
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)
(- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)
(- (+ (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))))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(+ p (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(- (+ r (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ 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))))
(- (+ 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))))
(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))))))))))
(* 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 r))
(* p (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))))
p
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(/ p r)
(* p (- (+ (* -2 (/ (pow q 2) (* p (pow r 2)))) (+ (/ 1 r) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r))))) (/ 1 p)))
(- r (* -1 r))
(- (+ r (* -2 (/ (pow q 2) p))) (* -1 r))
(- (+ r (* -2 (/ (* (pow q 2) r) (pow p 2)))) (+ (* -1 r) (* 2 (/ (pow q 2) p))))
(- (+ r (* 1/2 (/ (+ (* -4 (* (pow q 2) (pow r 2))) (* 4 (pow q 4))) (pow p 3)))) (+ (* -1 r) (+ (* 2 (/ (* (pow q 2) r) (pow p 2))) (* 2 (/ (pow q 2) p)))))
(* 1/2 (- r (* -1 r)))
(+ (* -1 (/ (pow q 2) p)) (* 1/2 (- r (* -1 r))))
(+ (* -1 (/ (* (pow q 2) r) (pow p 2))) (+ (* -1 (/ (pow q 2) p)) (* 1/2 (- r (* -1 r)))))
(+ (* -1 (/ (* (pow q 2) r) (pow p 2))) (+ (* -1 (/ (pow q 2) p)) (+ (* 1/4 (/ (+ (* -4 (* (pow q 2) (pow r 2))) (* 4 (pow q 4))) (pow p 3))) (* 1/2 (- r (* -1 r))))))
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p))))
(* 1/2 p)
(* p (+ 1/2 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)))
(* p (- (+ (/ 1 r) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r)))) (/ 1 p)))
(* -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)))))))
(* p (+ 1 (/ (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) p)))
(* p (- (/ r p) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (/ r p)) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (/ r p)) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))))
(* 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)))))))
(* -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 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1) p)) (/ 1 r))))
(* -1 (* p (- (pow (sqrt -1) 2) 1)))
(* -1 (* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (pow (sqrt -1) 2)) (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (- (+ (* -1 (/ (- (* -1/2 (/ (+ (* -4 (* (pow q 2) (pow r 2))) (* 4 (pow q 4))) p)) (* -2 (* (pow q 2) r))) (pow p 3))) (pow (sqrt -1) 2)) (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1/2 (* p (- (pow (sqrt -1) 2) 1)))
(* -1 (* p (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (- (pow (sqrt -1) 2) 1)))))
(* -1 (* p (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (- (pow (sqrt -1) 2) 1))))))
(* -1 (* p (+ (* -1 (/ (+ (* -1/4 (/ (+ (* -4 (* (pow q 2) (pow r 2))) (* 4 (pow q 4))) p)) (* (pow q 2) r)) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (- (pow (sqrt -1) 2) 1))))))
(* -1 (* (sqrt p) (pow (sqrt -1) 2)))
(* -1 (* p (- (* -1 (/ (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (* -1 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1) p)) (/ 1 r))))
(* -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)))
(* -1 (* p (- (* -1 (/ (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) p)) 1)))
(* -1 (* p (- (* -2 (/ (pow q 2) (pow p 2))) 1)))
(* -1 (* p (- (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (- (* -1 (/ (- (* -1/2 (/ (+ (* -4 (* (pow q 2) (pow r 2))) (* 4 (pow q 4))) p)) (* -2 (* (pow q 2) r))) (pow p 3))) (+ 1 (* 2 (/ (pow q 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)))))
(* 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))))))))))
(* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))
(* -2 (/ (pow q 2) (pow r 2)))
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (fabs r))))) (pow r 2))
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))))) (pow r 2))
(- p (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ p (* r (- 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ p (* r (- (+ 1 (* -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))))
(- (+ p (* r (- (+ 1 (* 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))))
(* 1/2 (- p (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* r (- 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* 1/2 (- p (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- p (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 (- 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
(+ (* 1/2 (- p (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (- 1 (* -1 (* 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))))))))))
(/ (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))
(/ (+ p (+ (fabs p) (fabs r))) r)
(/ (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))) r)
(- (+ (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))))
(/ (pow q 2) r)
(* -2 (/ (pow q 2) r))
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (fabs r))))) r)
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))))) r)
(* -1 (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (* r (- 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (* r (- (+ 1 (* -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))))
(- (* r (- (+ 1 (* 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))))
(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))))))))))
(* -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
(- p (* -1 p))
(- (+ p (* -2 (/ (pow q 2) r))) (* -1 p))
(- (+ p (* -2 (/ (* p (pow q 2)) (pow r 2)))) (+ (* -1 p) (* 2 (/ (pow q 2) r))))
(- (+ p (* 1/2 (/ (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4))) (pow r 3)))) (+ (* -1 p) (+ (* 2 (/ (* p (pow q 2)) (pow r 2))) (* 2 (/ (pow q 2) r)))))
(* 1/2 (- p (* -1 p)))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- p (* -1 p))))
(+ (* -1 (/ (* p (pow q 2)) (pow r 2))) (+ (* -1 (/ (pow q 2) r)) (* 1/2 (- p (* -1 p)))))
(+ (* -1 (/ (* p (pow q 2)) (pow r 2))) (+ (* -1 (/ (pow q 2) r)) (+ (* 1/4 (/ (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4))) (pow r 3))) (* 1/2 (- p (* -1 p))))))
-1/2
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) 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)))))))
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(- (* -2 (/ (pow q 2) r)) (* -1 p))
(- (* -2 (/ (* p (pow q 2)) (pow r 2))) (+ (* -1 p) (* 2 (/ (pow q 2) r))))
(- (* 1/2 (/ (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4))) (pow r 3))) (+ (* -1 p) (+ (* 2 (/ (* p (pow q 2)) (pow r 2))) (* 2 (/ (pow q 2) r)))))
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)))))))
(* 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 (/ (+ (* -1 (+ p (+ (fabs p) (fabs r)))) (* 2 (/ (pow q 2) r))) r)) 1)
(* 2 r)
(* -1 (* r (- (* -2 (/ (pow q 2) (pow r 2))) 2)))
(* -1 (* r (- (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ 2 (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (- (* -1 (/ (- (* -1/2 (/ (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4))) r)) (* -2 (* p (pow q 2)))) (pow r 3))) (+ 2 (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (- (* -1 (/ (pow q 2) (pow r 2))) 1)))
(* -1 (* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (* -1 (/ (pow q 2) (pow r 2)))) 1)))
(* -1 (* r (- (+ (* -1 (/ (+ (* -1/4 (/ (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4))) r)) (* p (pow q 2))) (pow r 3))) (* -1 (/ (pow q 2) (pow r 2)))) 1)))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -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)))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))
(* -1 (* r (- (/ p r) 2)))
(* -1 (* r (- (* -1 (/ (- (* 2 (/ (pow q 2) r)) p) r)) 2)))
(* -1 (* r (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)) p) 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)))))
(* 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)
(+ (* -2 (/ (pow q 2) (- p r))) (* 2 r))
(+ (* 2 r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r))))))
(+ (* 2 r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r))))))
(+ r (* -1 (/ (pow q 2) (- p r))))
(+ r (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ r (* (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)
(+ (* -2 (/ (pow q 2) r)) (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(- (* 2 r) p)
(- (+ (* -2 (/ (pow q 2) (- p r))) (* 2 r)) p)
(- (+ (* 2 r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) p)
(- (+ (* 2 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)
(- 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)
(* 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))
(* (pow q 2) (- (+ (/ p (* (pow q 2) r)) (+ (/ (fabs p) (* (pow q 2) r)) (/ (fabs r) (* (pow q 2) r)))) (+ (* 2 (/ 1 (pow r 2))) (/ 1 (pow q 2)))))
(* -2 q)
(* q (- (+ (/ p q) (/ r q)) 2))
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ p q) (/ r q))) 2))
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ p q) (/ r q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* q (- (* 1/2 (/ (+ p r) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ p r) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ p r) q)))) 1))
(* 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))))))
(* (pow q 2) (- (/ (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) (pow q 2)) (* 2 (/ 1 r))))
(* q (- (/ r q) 2))
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (/ r q)) 2))
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (/ r q)) (+ 2 (* 1/4 (/ (pow (- p r) 2) (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)))))))
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 (/ (+ p r) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ p (+ r (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ p (+ r (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1/2 (/ (+ p r) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ p 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 (+ p 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)))
(* -1 (* q (- (* -1 (/ r q)) 2)))
(* -1 (* q (- (* -1 (/ (+ r (* 1/4 (/ (pow (- p r) 2) q))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ r (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q))) 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))))))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
r
@0
((* (/ 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 p) (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (+ (+ (fabs r) p) (fabs p)) (fabs p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (sqrt p) (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (/ (* q q) r) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))
6.0ms
p
@inf
((* (/ 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 p) (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (+ (+ (fabs r) p) (fabs p)) (fabs p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (sqrt p) (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (/ (* q q) r) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))
5.0ms
p
@0
((* (/ 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 p) (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (+ (+ (fabs r) p) (fabs p)) (fabs p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (sqrt p) (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (/ (* q q) r) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))
4.0ms
p
@-inf
((* (/ 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 p) (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (+ (+ (fabs r) p) (fabs p)) (fabs p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (sqrt p) (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (/ (* q q) r) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))
3.0ms
r
@-inf
((* (/ 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 p) (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) (+ (+ (fabs r) p) (fabs p)) (fabs p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))) (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (sqrt p) (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (/ (* q q) r) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))) (sqrt (+ (* (* q q) 4) (pow (- p r) 2))))

simplify200.0ms (2.2%)

Memory
11.7MiB live, 286.2MiB allocated; 34ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010016671
132176343
085395993
Stop Event
1×iter limit
1×node limit
Counts
255 → 252
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 p)
(* 1/2 (/ (+ (fabs p) (fabs r)) r))
(+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))
(+ (fabs p) (fabs r))
(+ p (+ (fabs p) (fabs r)))
(fabs p)
(- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)
(- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1)
(- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ r (* p (- 1 (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ r (* p (- (+ 1 (* -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))))
(- (+ r (* p (- (+ 1 (* 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))))
(* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(+ (* 1/2 (* p (- 1 (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(+ (* 1/2 (- 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 (- 1 (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
(+ (* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))) (* p (+ (* 1/2 (- 1 (* -1 (* 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))))))))))
(sqrt p)
(- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)
(- (+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r))) 1/2)
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(- (+ (/ (fabs p) r) (/ (fabs r) r)) 1)
(- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)
(- (+ (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))))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(+ p (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(- (+ r (* (* p r) (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(- (+ 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))))
(- (+ 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))))
(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))))))))))
(* 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 r))
(* p (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))))
p
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(/ p r)
(* p (- (+ (* -2 (/ (pow q 2) (* p (pow r 2)))) (+ (/ 1 r) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r))))) (/ 1 p)))
(- r (* -1 r))
(- (+ r (* -2 (/ (pow q 2) p))) (* -1 r))
(- (+ r (* -2 (/ (* (pow q 2) r) (pow p 2)))) (+ (* -1 r) (* 2 (/ (pow q 2) p))))
(- (+ r (* 1/2 (/ (+ (* -4 (* (pow q 2) (pow r 2))) (* 4 (pow q 4))) (pow p 3)))) (+ (* -1 r) (+ (* 2 (/ (* (pow q 2) r) (pow p 2))) (* 2 (/ (pow q 2) p)))))
(* 1/2 (- r (* -1 r)))
(+ (* -1 (/ (pow q 2) p)) (* 1/2 (- r (* -1 r))))
(+ (* -1 (/ (* (pow q 2) r) (pow p 2))) (+ (* -1 (/ (pow q 2) p)) (* 1/2 (- r (* -1 r)))))
(+ (* -1 (/ (* (pow q 2) r) (pow p 2))) (+ (* -1 (/ (pow q 2) p)) (+ (* 1/4 (/ (+ (* -4 (* (pow q 2) (pow r 2))) (* 4 (pow q 4))) (pow p 3))) (* 1/2 (- r (* -1 r))))))
(* p (- (+ (* 1/2 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r))) (* 1/2 (/ 1 p))))
(* 1/2 p)
(* p (+ 1/2 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)))
(* p (- (+ (/ 1 r) (+ (/ (fabs p) (* p r)) (/ (fabs r) (* p r)))) (/ 1 p)))
(* -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)))))))
(* p (+ 1 (/ (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) p)))
(* p (- (/ r p) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (/ r p)) (+ 1 (* -1 (/ r p)))))
(* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (/ r p)) (+ 1 (+ (* -1 (/ r p)) (* 2 (/ (pow q 2) (pow p 2)))))))
(* 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)))))))
(* -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 (/ (+ (/ (fabs p) r) (/ (fabs r) r)) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (- (* -1 (/ (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1) p)) (/ 1 r))))
(* -1 (* p (- (pow (sqrt -1) 2) 1)))
(* -1 (* p (- (+ (* -2 (/ (pow q 2) (pow p 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* p (- (+ (* -2 (/ (* (pow q 2) r) (pow p 3))) (pow (sqrt -1) 2)) (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (- (+ (* -1 (/ (- (* -1/2 (/ (+ (* -4 (* (pow q 2) (pow r 2))) (* 4 (pow q 4))) p)) (* -2 (* (pow q 2) r))) (pow p 3))) (pow (sqrt -1) 2)) (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1/2 (* p (- (pow (sqrt -1) 2) 1)))
(* -1 (* p (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (- (pow (sqrt -1) 2) 1)))))
(* -1 (* p (+ (* -1 (/ (* (pow q 2) r) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (- (pow (sqrt -1) 2) 1))))))
(* -1 (* p (+ (* -1 (/ (+ (* -1/4 (/ (+ (* -4 (* (pow q 2) (pow r 2))) (* 4 (pow q 4))) p)) (* (pow q 2) r)) (pow p 3))) (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (- (pow (sqrt -1) 2) 1))))))
(* -1 (* (sqrt p) (pow (sqrt -1) 2)))
(* -1 (* p (- (* -1 (/ (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2) p)) (* 1/2 (/ 1 r)))))
(* -1 (* p (- (* -1 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)) 1/2)))
(* -1 (* p (- (* -1 (/ (- (+ (/ (fabs p) r) (/ (fabs r) r)) 1) p)) (/ 1 r))))
(* -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)))
(* -1 (* p (- (* -1 (/ (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) p)) 1)))
(* -1 (* p (- (* -2 (/ (pow q 2) (pow p 2))) 1)))
(* -1 (* p (- (* -2 (/ (* (pow q 2) r) (pow p 3))) (+ 1 (* 2 (/ (pow q 2) (pow p 2)))))))
(* -1 (* p (- (* -1 (/ (- (* -1/2 (/ (+ (* -4 (* (pow q 2) (pow r 2))) (* 4 (pow q 4))) p)) (* -2 (* (pow q 2) r))) (pow p 3))) (+ 1 (* 2 (/ (pow q 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)))))
(* 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))))))))))
(* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r))
(* -2 (/ (pow q 2) (pow r 2)))
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (fabs r))))) (pow r 2))
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))))) (pow r 2))
(- p (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ p (* r (- 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (+ p (* r (- (+ 1 (* -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))))
(- (+ p (* r (- (+ 1 (* 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))))
(* 1/2 (- p (sqrt (+ (* 4 (pow q 2)) (pow p 2)))))
(+ (* 1/2 (* r (- 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2))))))))) (* 1/2 (- p (sqrt (+ (* 4 (pow q 2)) (pow p 2))))))
(+ (* 1/2 (- p (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 (- 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))))))
(+ (* 1/2 (- p (sqrt (+ (* 4 (pow q 2)) (pow p 2))))) (* r (+ (* 1/2 (- 1 (* -1 (* 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))))))))))
(/ (+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r))))) r)
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))
(/ (+ p (+ (fabs p) (fabs r))) r)
(/ (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))) r)
(- (+ (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))))
(/ (pow q 2) r)
(* -2 (/ (pow q 2) r))
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (fabs r))))) r)
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))))) r)
(* -1 (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (* r (- 1 (* -1 (* p (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow p 2)))))))) (sqrt (+ (* 4 (pow q 2)) (pow p 2))))
(- (* r (- (+ 1 (* -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))))
(- (* r (- (+ 1 (* 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))))
(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))))))))))
(* -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
(- p (* -1 p))
(- (+ p (* -2 (/ (pow q 2) r))) (* -1 p))
(- (+ p (* -2 (/ (* p (pow q 2)) (pow r 2)))) (+ (* -1 p) (* 2 (/ (pow q 2) r))))
(- (+ p (* 1/2 (/ (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4))) (pow r 3)))) (+ (* -1 p) (+ (* 2 (/ (* p (pow q 2)) (pow r 2))) (* 2 (/ (pow q 2) r)))))
(* 1/2 (- p (* -1 p)))
(+ (* -1 (/ (pow q 2) r)) (* 1/2 (- p (* -1 p))))
(+ (* -1 (/ (* p (pow q 2)) (pow r 2))) (+ (* -1 (/ (pow q 2) r)) (* 1/2 (- p (* -1 p)))))
(+ (* -1 (/ (* p (pow q 2)) (pow r 2))) (+ (* -1 (/ (pow q 2) r)) (+ (* 1/4 (/ (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4))) (pow r 3))) (* 1/2 (- p (* -1 p))))))
-1/2
(- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2)
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) 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)))))))
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(- (* -2 (/ (pow q 2) r)) (* -1 p))
(- (* -2 (/ (* p (pow q 2)) (pow r 2))) (+ (* -1 p) (* 2 (/ (pow q 2) r))))
(- (* 1/2 (/ (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4))) (pow r 3))) (+ (* -1 p) (+ (* 2 (/ (* p (pow q 2)) (pow r 2))) (* 2 (/ (pow q 2) r)))))
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)))))))
(* 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 (/ (+ (* -1 (+ p (+ (fabs p) (fabs r)))) (* 2 (/ (pow q 2) r))) r)) 1)
(* 2 r)
(* -1 (* r (- (* -2 (/ (pow q 2) (pow r 2))) 2)))
(* -1 (* r (- (* -2 (/ (* p (pow q 2)) (pow r 3))) (+ 2 (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (- (* -1 (/ (- (* -1/2 (/ (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4))) r)) (* -2 (* p (pow q 2)))) (pow r 3))) (+ 2 (* 2 (/ (pow q 2) (pow r 2)))))))
(* -1 (* r (- (* -1 (/ (pow q 2) (pow r 2))) 1)))
(* -1 (* r (- (+ (* -1 (/ (* p (pow q 2)) (pow r 3))) (* -1 (/ (pow q 2) (pow r 2)))) 1)))
(* -1 (* r (- (+ (* -1 (/ (+ (* -1/4 (/ (+ (* -4 (* (pow p 2) (pow q 2))) (* 4 (pow q 4))) r)) (* p (pow q 2))) (pow r 3))) (* -1 (/ (pow q 2) (pow r 2)))) 1)))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -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)))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))
(* -1 (* r (- (/ p r) 2)))
(* -1 (* r (- (* -1 (/ (- (* 2 (/ (pow q 2) r)) p) r)) 2)))
(* -1 (* r (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)) p) 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)))))
(* 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)
(+ (* -2 (/ (pow q 2) (- p r))) (* 2 r))
(+ (* 2 r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r))))))
(+ (* 2 r) (* (pow q 2) (- (* (pow q 2) (+ (* -4 (/ (pow q 2) (pow (- p r) 5))) (* 2 (/ 1 (pow (- p r) 3))))) (* 2 (/ 1 (- p r))))))
(+ r (* -1 (/ (pow q 2) (- p r))))
(+ r (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(+ r (* (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)
(+ (* -2 (/ (pow q 2) r)) (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(- (* 2 r) p)
(- (+ (* -2 (/ (pow q 2) (- p r))) (* 2 r)) p)
(- (+ (* 2 r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))) p)
(- (+ (* 2 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)
(- 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)
(* 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))
(* (pow q 2) (- (+ (/ p (* (pow q 2) r)) (+ (/ (fabs p) (* (pow q 2) r)) (/ (fabs r) (* (pow q 2) r)))) (+ (* 2 (/ 1 (pow r 2))) (/ 1 (pow q 2)))))
(* -2 q)
(* q (- (+ (/ p q) (/ r q)) 2))
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (+ (/ p q) (/ r q))) 2))
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (+ (/ p q) (/ r q))) (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(* q (- (* 1/2 (/ (+ p r) q)) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (* 1/2 (/ (+ p r) q))) 1))
(* q (- (+ (* -1/8 (/ (pow (- p r) 2) (pow q 2))) (+ (* 1/128 (/ (pow (- p r) 4) (pow q 4))) (* 1/2 (/ (+ p r) q)))) 1))
(* 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))))))
(* (pow q 2) (- (/ (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) (pow q 2)) (* 2 (/ 1 r))))
(* q (- (/ r q) 2))
(* q (- (+ (* -1/4 (/ (pow (- p r) 2) (pow q 2))) (/ r q)) 2))
(* q (- (+ (* 1/64 (/ (pow (- p r) 4) (pow q 4))) (/ r q)) (+ 2 (* 1/4 (/ (pow (- p r) 2) (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)))))))
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 (/ (+ p r) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ p (+ r (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ p (+ r (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q)))) q)) 2)))
(* -1 (* q (- (* -1/2 (/ (+ p r) q)) 1)))
(* -1 (* q (- (* -1 (/ (+ (* 1/8 (/ (pow (- p r) 2) q)) (* 1/2 (+ p 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 (+ p 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)))
(* -1 (* q (- (* -1 (/ r q)) 2)))
(* -1 (* q (- (* -1 (/ (+ r (* 1/4 (/ (pow (- p r) 2) q))) q)) 2)))
(* -1 (* q (- (* -1 (/ (+ r (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q))) 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))))))))
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 p)
(*.f64 #s(literal -1/2 binary64) p)
(* 1/2 (/ (+ (fabs p) (fabs r)) r))
(*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64))
(+ (* 1/2 (/ p r)) (* 1/2 (/ (+ (fabs p) (fabs r)) r)))
(*.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1/2 binary64))
(+ (fabs p) (fabs r))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(+ p (+ (fabs p) (fabs r)))
(+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))
(fabs p)
(fabs.f64 p)
(- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)
(-.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (*.f64 q q) r) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)) #s(literal 1 binary64))
(- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1)
(-.f64 (fma.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (*.f64 q q) r) (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r)) #s(literal 1 binary64))
(- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(- (+ r (* p (- 1 (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (sqrt (+ (* 4 (pow q 2)) (pow r 2))))
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) r)) p r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(- (+ r (* p (- (+ 1 (* -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 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 r r) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) p)) (neg.f64 r)))) p r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(- (+ r (* p (- (+ 1 (* 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 (+.f64 (fma.f64 (*.f64 #s(literal -1/2 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 #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) r)) p r) (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))
(* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2)))))
(*.f64 (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64))
(+ (* 1/2 (* p (- 1 (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2))))))))) (* 1/2 (- r (sqrt (+ (* 4 (pow q 2)) (pow r 2))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) r)) p (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r))))))
(+ (* 1/2 (- 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 (- 1 (* -1 (* r (sqrt (/ 1 (+ (* 4 (pow q 2)) (pow r 2)))))))))))
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(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/4 binary64) r) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ r (* -1 (/ (- (* 1/64 (/ (pow (- p r) 4) (pow q 2))) (* 1/4 (pow (- p r) 2))) q))) q)) 2)))
(*.f64 (-.f64 (/.f64 (-.f64 r (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) q) (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (* 1/4 (/ (pow (- p r) 2) (pow q 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (+ 2 (+ (* -1/64 (/ (pow (- p r) 4) (pow q 4))) (* 1/4 (/ (pow (- p r) 2) (pow q 2)))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 p r) #s(literal 4 binary64))) (pow.f64 q #s(literal 4 binary64)))) #s(literal 2 binary64)) (neg.f64 q))
(* -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 (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) q) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 (-.f64 p r) #s(literal 6 binary64))) (pow.f64 q #s(literal 6 binary64))))) #s(literal 2 binary64)) (neg.f64 q))

rewrite247.0ms (2.7%)

Memory
-4.4MiB live, 242.8MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050300
078276
1321273
22403260
08804248
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 354
Calls
Call 1
Inputs
#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) p))
(*.f64 #s(literal -1/2 binary64) p)
(*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64))
(+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p))
(fabs.f64 p)
#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))
(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)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
(sqrt.f64 p)
(-.f64 (*.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(*.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)
(-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 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))
(/.f64 (*.f64 q q) r)
(*.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)
(-.f64 r (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))))
Outputs
#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) p))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 p)) (sqrt.f64 p))
(*.f64 (sqrt.f64 p) (*.f64 (sqrt.f64 p) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) p)
(*.f64 p #s(literal -1/2 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) p r) (/.f64 #s(literal 1/2 binary64) r))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) p r) r))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) p r)) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 r)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) p r)))) (neg.f64 (neg.f64 r)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) p r) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 r)))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) p r)) #s(literal 1/2 binary64)) (neg.f64 r))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) p r))) (neg.f64 r))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) p r) #s(literal 1/2 binary64))) (neg.f64 r))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) p r) #s(literal 1/2 binary64)) r)
(fma.f64 (/.f64 (-.f64 r p) r) #s(literal 1/2 binary64) (*.f64 (/.f64 p r) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r p) r) (*.f64 #s(literal 1/2 binary64) (/.f64 p r)))
(+.f64 (*.f64 (/.f64 (-.f64 r p) r) #s(literal 1/2 binary64)) (*.f64 (/.f64 p r) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 r p) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 p r)))
(/.f64 (neg.f64 (-.f64 (*.f64 r r) (pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 2 binary64)))) (neg.f64 (-.f64 r (*.f64 #s(literal 2 binary64) p))))
(/.f64 (neg.f64 (-.f64 (*.f64 p p) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (neg.f64 (-.f64 p (-.f64 r p))))
(/.f64 (neg.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 3 binary64))))) (neg.f64 (fma.f64 r r (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 2 binary64)) (*.f64 r (*.f64 #s(literal 2 binary64) p))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) p r) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) p r))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 p (-.f64 p (-.f64 r p)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (fma.f64 p p (*.f64 (-.f64 r p) p)))))
(/.f64 (-.f64 (*.f64 r r) (pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 2 binary64))) (-.f64 r (*.f64 #s(literal 2 binary64) p)))
(/.f64 (-.f64 (*.f64 p p) (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (-.f64 p (-.f64 r p)))
(/.f64 (-.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (fma.f64 p p (*.f64 (-.f64 r p) p))))
(/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 3 binary64)))) (fma.f64 r r (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 2 binary64)) (*.f64 r (*.f64 #s(literal 2 binary64) p)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) p r) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) p r)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (neg.f64 (fma.f64 p p (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (-.f64 r p) p)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (neg.f64 (fma.f64 p (-.f64 p (-.f64 r p)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) p r) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) p r))
(/.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (fma.f64 p p (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (-.f64 r p) p))))
(/.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (fma.f64 p (-.f64 p (-.f64 r p)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
(fma.f64 (/.f64 (-.f64 r p) (sqrt.f64 (-.f64 p r))) (/.f64 (-.f64 p r) (sqrt.f64 (-.f64 p r))) p)
(fma.f64 (neg.f64 (sqrt.f64 r)) (neg.f64 (sqrt.f64 r)) (*.f64 #s(literal 2 binary64) p))
(fma.f64 (fabs.f64 (sqrt.f64 r)) (fabs.f64 (sqrt.f64 r)) (*.f64 #s(literal 2 binary64) p))
(fma.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)) (*.f64 #s(literal 2 binary64) p))
(fma.f64 (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64))) (pow.f64 p #s(literal 1/4 binary64)) (-.f64 r p))
(fma.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) p))
(fma.f64 (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/4 binary64)) (-.f64 r p))
(fma.f64 (sqrt.f64 r) (sqrt.f64 r) (*.f64 #s(literal 2 binary64) p))
(fma.f64 (pow.f64 p #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64))) (-.f64 r p))
(fma.f64 (pow.f64 p #s(literal 1/4 binary64)) (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (-.f64 r p))
(fma.f64 (sqrt.f64 p) (+.f64 (sqrt.f64 p) (sqrt.f64 p)) r)
(fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r p))
(fma.f64 #s(literal 2 binary64) p r)
(-.f64 (/.f64 (*.f64 r r) (-.f64 r (*.f64 #s(literal 2 binary64) p))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 2 binary64)) (-.f64 r (*.f64 #s(literal 2 binary64) p))))
(-.f64 (/.f64 (*.f64 p p) (-.f64 p (-.f64 r p))) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (-.f64 p (-.f64 r p))))
(-.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (fma.f64 p p (*.f64 (-.f64 r p) p)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (fma.f64 p p (*.f64 (-.f64 r p) p)))))
(-.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) p r)) (/.f64 (*.f64 p p) (fma.f64 #s(literal 2 binary64) p r)))
(-.f64 (-.f64 r p) p)
(+.f64 (/.f64 (pow.f64 r #s(literal 3 binary64)) (fma.f64 r r (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 2 binary64)) (*.f64 r (*.f64 #s(literal 2 binary64) p))))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 3 binary64))) (fma.f64 r r (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 2 binary64)) (*.f64 r (*.f64 #s(literal 2 binary64) p))))))
(+.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (fma.f64 p p (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (-.f64 r p) p)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p p (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (-.f64 r p) p)))))
(+.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p p (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (-.f64 r p) p)))) (/.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (fma.f64 p p (-.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 (-.f64 r p) p)))))
(+.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p (-.f64 p (-.f64 r p)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (fma.f64 p (-.f64 p (-.f64 r p)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 3 binary64)) (fma.f64 p (-.f64 p (-.f64 r p)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p (-.f64 p (-.f64 r p)) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) p r)) (/.f64 (*.f64 p p) (fma.f64 #s(literal 2 binary64) p r)))
(+.f64 (*.f64 #s(literal 2 binary64) p) r)
(+.f64 (-.f64 r p) p)
(+.f64 r (*.f64 #s(literal 2 binary64) p))
(+.f64 p (-.f64 r p))
(*.f64 (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64))) (pow.f64 p #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/4 binary64)))
(*.f64 (pow.f64 p #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 p #s(literal 3/2 binary64))))
(*.f64 (pow.f64 p #s(literal 1/4 binary64)) (pow.f64 (pow.f64 p #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 p) (sqrt.f64 p))
(pow.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64))
(pow.f64 p #s(literal 1 binary64))
(neg.f64 p)
(sqrt.f64 (*.f64 p p))
(fabs.f64 p)
(exp.f64 (*.f64 (log.f64 p) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 p p)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 p))
(+.f64 (cosh.f64 (log.f64 p)) (sinh.f64 (log.f64 p)))
p
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) p r)) r) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) p r)) r) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 q q) r) r) #s(literal 2 binary64))))) (neg.f64 (-.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) p r)) r) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) p r)) r) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) p r)) r) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 q q) r) r) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) p r)) r) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 q #s(literal 6 binary64))) (pow.f64 r #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 1 binary64)) (-.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r))) (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 q q) r) r) #s(literal 2 binary64)))))))
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eval137.0ms (1.5%)

Memory
-0.0MiB live, 180.9MiB allocated; 46ms collecting garbage
Compiler

Compiled 34 514 to 3 577 computations (89.6% saved)

prune39.0ms (0.4%)

Memory
-15.4MiB live, 117.2MiB allocated; 13ms collecting garbage
Pruning

28 alts after pruning (26 fresh and 2 done)

PrunedKeptTotal
New66920689
Fresh11617
Picked325
Done000
Total68328711
Accuracy
75.4%
Counts
711 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (/.f64 (-.f64 (*.f64 r r) (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)))) r))))
12.9%
(*.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 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))))
33.4%
(*.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))))
19.2%
(*.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 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 1 binary64))) r)))
22.1%
(*.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 r) q) (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64))) r)))
19.2%
(*.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 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 1 binary64))) r)))
9.3%
(*.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 (/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 r r) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) p r) r)) (*.f64 (*.f64 q q) #s(literal -2 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) p r) r)) (*.f64 r r))) r)))
▶10.1%
(*.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 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r)))
23.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) (*.f64 r r))) r)))
8.1%
(*.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 #s(approx (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (/.f64 p r)) r)))
22.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (*.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (*.f64 q q) r))) r)))
▶35.1%
(*.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r))))
▶26.1%
(*.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))))
17.8%
(*.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1 binary64)) q) (/.f64 r q)) (/.f64 #s(literal 2 binary64) r)) (*.f64 q q)))))
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)))
11.5%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 q q) r) p (*.f64 q q))) r) r)) #s(literal 1/2 binary64)) r))
5.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) #s(literal -1/2 binary64)) r))
2.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶5.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓2.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓34.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
8.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
▶12.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))))
23.6%
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (fma.f64 (*.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
33.5%
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 r p) #s(literal 1/2 binary64)) q) #s(literal 1 binary64)) q))
20.9%
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
2.7%
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 r #s(literal 2 binary64)) #s(literal 1/2 binary64)))
16.2%
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64)))
Compiler

Compiled 2 413 to 1 627 computations (32.6% saved)

simplify203.0ms (2.2%)

Memory
25.8MiB live, 305.5MiB allocated; 49ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.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 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r)))
cost-diff1
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff6
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r))))
cost-diff0
#s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))
cost-diff0
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))))
cost-diff0
(*.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff0
(-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))
cost-diff0
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))))
cost-diff0
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))))
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
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r)))
cost-diff0
(*.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r))))
cost-diff2
(/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r)
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071700
0107700
1201684
2459672
31483644
45339644
08221625
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r)))
#s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r))
(/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r)
(fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q)))
(+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))
(+.f64 p (-.f64 (fabs.f64 r) r))
p
(-.f64 (fabs.f64 r) r)
(fabs.f64 r)
r
(fabs.f64 p)
(*.f64 #s(literal -2 binary64) (*.f64 q q))
#s(literal -2 binary64)
(*.f64 q q)
q
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) p)
#s(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) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))))
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))
#s(literal -1/2 binary64)
(-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))
r
(+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))
(+.f64 p (fabs.f64 r))
p
(fabs.f64 r)
(fabs.f64 p)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))))
#s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))
(/.f64 (*.f64 q q) r)
(*.f64 q q)
q
r
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r)
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r))))
(/.f64 (fma.f64 #s(literal 2 binary64) p r) r)
(fma.f64 #s(literal 2 binary64) p r)
p
r
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r))
(/.f64 (*.f64 #s(literal -2 binary64) q) r)
(*.f64 #s(literal -2 binary64) q)
#s(literal -2 binary64)
q
(/.f64 q r)
Outputs
(*.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r))))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) q (fabs.f64 r)) (-.f64 (-.f64 r (fabs.f64 p)) 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)
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r)))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) q (fabs.f64 r)) (-.f64 (-.f64 r (fabs.f64 p)) p))))
#s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r))
#s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) q (fabs.f64 r)) (-.f64 (-.f64 r (fabs.f64 p)) p)))
(/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r)
(-.f64 (fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) q (fabs.f64 r)) (-.f64 (-.f64 r (fabs.f64 p)) p))
(fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q)))
(fma.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r (*.f64 (*.f64 q q) #s(literal -2 binary64)))
(+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))
(-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p)))
(+.f64 p (-.f64 (fabs.f64 r) r))
(+.f64 (-.f64 (fabs.f64 r) r) p)
p
(-.f64 (fabs.f64 r) r)
(fabs.f64 r)
r
(fabs.f64 p)
(*.f64 #s(literal -2 binary64) (*.f64 q q))
(*.f64 (*.f64 q q) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 q q)
q
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 p #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) p)
(*.f64 p #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
p
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 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 (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 (-.f64 r (fabs.f64 p)) p) (fabs.f64 r)) #s(literal -1/2 binary64))))
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))))
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 (-.f64 r (fabs.f64 p)) p) (fabs.f64 r)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))
(*.f64 (-.f64 (-.f64 (-.f64 r (fabs.f64 p)) p) (fabs.f64 r)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))
(-.f64 (-.f64 (-.f64 r (fabs.f64 p)) p) (fabs.f64 r))
r
(+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))
(+.f64 (+.f64 (fabs.f64 p) p) (fabs.f64 r))
(+.f64 p (fabs.f64 r))
(+.f64 (fabs.f64 r) p)
p
(fabs.f64 r)
(fabs.f64 p)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))) #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)
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))))
#s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))
(/.f64 (*.f64 q q) r)
(*.f64 q q)
q
r
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r)))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) (-.f64 p (/.f64 (*.f64 q q) r))) r)) #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)
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) (-.f64 p (/.f64 (*.f64 q q) r))) r))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r)
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) (-.f64 p (/.f64 (*.f64 q q) r))) r)
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r))))
(*.f64 (/.f64 #s(literal 2 binary64) r) (-.f64 p (/.f64 (*.f64 q q) r)))
(/.f64 (fma.f64 #s(literal 2 binary64) p r) r)
(/.f64 (fma.f64 p #s(literal 2 binary64) r) r)
(fma.f64 #s(literal 2 binary64) p r)
(fma.f64 p #s(literal 2 binary64) r)
p
r
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))
(fma.f64 (*.f64 (/.f64 (/.f64 q r) r) #s(literal 2 binary64)) q #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) r) r) (*.f64 q q))
(/.f64 (*.f64 #s(literal -2 binary64) q) r)
(*.f64 (/.f64 #s(literal -2 binary64) r) q)
(*.f64 #s(literal -2 binary64) q)
#s(literal -2 binary64)
q
(/.f64 q r)

localize402.0ms (4.5%)

Memory
16.7MiB live, 620.0MiB allocated; 131ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.23566074515881033
(/.f64 (*.f64 #s(literal -2 binary64) q) r)
accuracy10.975580155244728
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r)
accuracy17.42691488470342
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r))))
accuracy47.5474179223939
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r))
accuracy0.1989152813336804
(*.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))))
accuracy8.55116103564422
(/.f64 (*.f64 q q) r)
accuracy14.733497206115489
#s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))
accuracy32.60536073408386
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))))
accuracy0.0
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))))
accuracy14.195532519639446
(-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))
accuracy28.27375549507322
(+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))
accuracy37.252605741033115
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) p)
accuracy60.414891269553344
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
accuracy0.1989152813336804
(*.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r))))
accuracy11.463262438413604
(/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r)
accuracy15.783580656043988
(+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))
accuracy32.60536073408386
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r)))
Samples
162.0ms131×1valid
155.0ms117×2valid
5.0ms2×3valid
2.0ms6×0valid
Compiler

Compiled 461 to 59 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 272.0ms
ival-mult: 86.0ms (31.6% of total)
adjust: 57.0ms (21% of total)
ival-add: 54.0ms (19.8% of total)
ival-div: 32.0ms (11.8% of total)
ival-sub: 23.0ms (8.5% of total)
ival-pow2: 10.0ms (3.7% of total)
ival-sqrt: 7.0ms (2.6% of total)
ival-fabs: 2.0ms (0.7% of total)
exact: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series71.0ms (0.8%)

Memory
23.1MiB live, 119.6MiB allocated; 14ms collecting garbage
Counts
22 → 141
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) 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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.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) 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) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))))
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))
(-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))))
#s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q 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 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r)))
(+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))
(+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))
(/.f64 (*.f64 q q) r)
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r)
(/.f64 (*.f64 #s(literal -2 binary64) q) r)
Outputs
(/ (+ (* -2 (pow q 2)) (* r (- (+ (fabs p) (fabs r)) r))) r)
(+ p (+ (* -2 (/ (pow q 2) r)) (- (+ (fabs p) (fabs r)) r)))
(* 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))))
(* 1/2 p)
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1/2 (- r (+ (fabs p) (fabs r))))
(+ (* -1/2 (- r (+ (fabs p) (fabs r)))) (* 1/2 p))
(- r (+ (fabs p) (fabs r)))
(- (+ r (* -1 p)) (+ (fabs p) (fabs r)))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(+ p (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(* -2 (/ (pow q 2) (pow r 2)))
(+ (* -2 (/ (pow q 2) (pow r 2))) (* 2 (/ p r)))
(- (+ (fabs p) (fabs r)) r)
(- (+ p (+ (fabs p) (fabs r))) r)
(+ (fabs p) (fabs r))
(+ p (+ (fabs p) (fabs r)))
(* -2 (/ (pow q 2) r))
(+ (* -2 (/ (pow q 2) r)) (* 2 p))
p
(* p (- (+ 1 (+ (* -2 (/ (pow q 2) (* p r))) (+ (/ (fabs p) p) (/ (fabs r) p)))) (/ r 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 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)))))))
(* p (+ 1/2 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)))
(* p (+ 1/2 (* -1/2 (/ (- r (+ (fabs p) (fabs r))) p))))
(* p (- (/ r p) (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p)))))
(* p (+ 1 (/ (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) p)))
(* 2 (/ p r))
(* p (+ (* -2 (/ (pow q 2) (* p (pow r 2)))) (* 2 (/ 1 r))))
(* p (- (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ r p)))
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(* 2 p)
(* p (+ 2 (* -2 (/ (pow q 2) (* p r)))))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r) p)) 1)))
(* -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)))
(* -1 (* p (- (* -1 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)) 1/2)))
(* -1 (* p (- (* 1/2 (/ (- r (+ (fabs p) (fabs r))) p)) 1/2)))
(* -1 (* p (+ 1 (* -1 (/ (- r (+ (fabs p) (fabs r))) p)))))
(* -1 (* p (- (* -1 (/ (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) p)) 1)))
(* -1 (* p (- (* 2 (/ (pow q 2) (* p (pow r 2)))) (* 2 (/ 1 r)))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (- (* 2 (/ (pow q 2) (* p r))) 2)))
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (fabs r))))) r)
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))))) 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))))))))))
(- (+ (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))))
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))
(* -1 (+ p (+ (fabs p) (fabs r))))
(- r (+ p (+ (fabs p) (fabs r))))
(/ (+ (* -2 (pow q 2)) (* 2 (* p r))) (pow r 2))
(* 2 (/ (pow q 2) (pow r 2)))
(/ (- (pow r 2) (* -2 (pow q 2))) (pow r 2))
(+ p (+ (fabs p) (+ (fabs r) (* -1 r))))
(/ (pow q 2) r)
(/ (+ (* -2 (pow q 2)) (* 2 (* p r))) r)
(* -2 (/ q r))
(* -1 r)
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* -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 (- (+ (/ (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)))))))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
r
(* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r))))
(/ (+ (* -2 (/ (pow q 2) r)) (* 2 p)) r)
1
(+ 1 (* 2 (/ (pow q 2) (pow r 2))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) 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)))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(* -1 (/ (+ (* -2 p) (* 2 (/ (pow q 2) r))) r))
(- (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) 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)))))
(- (+ 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)
(+ (* -2 (/ (pow q 2) r)) (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(* (pow q 2) (- (+ (/ p (pow q 2)) (+ (/ (fabs p) (pow q 2)) (/ (fabs r) (pow q 2)))) (+ (* 2 (/ 1 r)) (/ r (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))))))
(* (pow q 2) (- (/ (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) (pow q 2)) (* 2 (/ 1 r))))
(* (pow q 2) (- (* 2 (/ p (* (pow q 2) r))) (* 2 (/ 1 (pow r 2)))))
(* (pow q 2) (+ (/ 1 (pow q 2)) (* 2 (/ 1 (pow r 2)))))
(* (pow q 2) (- (* 2 (/ p (pow q 2))) (* 2 (/ 1 r))))
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)))
(* 2 q)
(* -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
31.0ms
p
@inf
((/ 1 2) (/ (+ (* (+ (+ p (- (fabs r) r)) (fabs p)) r) (* -2 (* q q))) r) (* (/ 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))))) (* (/ 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) p) (fabs p)) r) 1/2) 1/2) r) (* -1/2 (- r (+ (+ p (fabs r)) (fabs p)))) (- r (+ (+ p (fabs r)) (fabs p))) (* (/ 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))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (- 1 (* (/ (* -2 q) r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ p (- (fabs r) r)) (fabs p)) (+ (+ p (fabs r)) (fabs p)) (/ (* q q) r) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) r) (/ (* -2 q) r))
11.0ms
r
@-inf
((/ 1 2) (/ (+ (* (+ (+ p (- (fabs r) r)) (fabs p)) r) (* -2 (* q q))) r) (* (/ 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))))) (* (/ 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) p) (fabs p)) r) 1/2) 1/2) r) (* -1/2 (- r (+ (+ p (fabs r)) (fabs p)))) (- r (+ (+ p (fabs r)) (fabs p))) (* (/ 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))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (- 1 (* (/ (* -2 q) r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ p (- (fabs r) r)) (fabs p)) (+ (+ p (fabs r)) (fabs p)) (/ (* q q) r) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) r) (/ (* -2 q) r))
8.0ms
p
@0
((/ 1 2) (/ (+ (* (+ (+ p (- (fabs r) r)) (fabs p)) r) (* -2 (* q q))) r) (* (/ 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))))) (* (/ 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) p) (fabs p)) r) 1/2) 1/2) r) (* -1/2 (- r (+ (+ p (fabs r)) (fabs p)))) (- r (+ (+ p (fabs r)) (fabs p))) (* (/ 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))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (- 1 (* (/ (* -2 q) r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ p (- (fabs r) r)) (fabs p)) (+ (+ p (fabs r)) (fabs p)) (/ (* q q) r) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) r) (/ (* -2 q) r))
3.0ms
r
@inf
((/ 1 2) (/ (+ (* (+ (+ p (- (fabs r) r)) (fabs p)) r) (* -2 (* q q))) r) (* (/ 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))))) (* (/ 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) p) (fabs p)) r) 1/2) 1/2) r) (* -1/2 (- r (+ (+ p (fabs r)) (fabs p)))) (- r (+ (+ p (fabs r)) (fabs p))) (* (/ 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))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (- 1 (* (/ (* -2 q) r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ p (- (fabs r) r)) (fabs p)) (+ (+ p (fabs r)) (fabs p)) (/ (* q q) r) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) r) (/ (* -2 q) r))
3.0ms
r
@0
((/ 1 2) (/ (+ (* (+ (+ p (- (fabs r) r)) (fabs p)) r) (* -2 (* q q))) r) (* (/ 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))))) (* (/ 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) p) (fabs p)) r) 1/2) 1/2) r) (* -1/2 (- r (+ (+ p (fabs r)) (fabs p)))) (- r (+ (+ p (fabs r)) (fabs p))) (* (/ 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))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (- 1 (* (/ (* -2 q) r) (/ q r))) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (+ (+ p (- (fabs r) r)) (fabs p)) (+ (+ p (fabs r)) (fabs p)) (/ (* q q) r) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) r) (/ (* -2 q) r))

simplify209.0ms (2.3%)

Memory
2.5MiB live, 311.7MiB allocated; 76ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06153014
119102853
266652837
081442698
Stop Event
1×iter limit
1×node limit
Counts
141 → 138
Calls
Call 1
Inputs
(/ (+ (* -2 (pow q 2)) (* r (- (+ (fabs p) (fabs r)) r))) r)
(+ p (+ (* -2 (/ (pow q 2) r)) (- (+ (fabs p) (fabs r)) r)))
(* 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))))
(* 1/2 p)
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1/2 (- r (+ (fabs p) (fabs r))))
(+ (* -1/2 (- r (+ (fabs p) (fabs r)))) (* 1/2 p))
(- r (+ (fabs p) (fabs r)))
(- (+ r (* -1 p)) (+ (fabs p) (fabs r)))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(+ p (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(* -2 (/ (pow q 2) (pow r 2)))
(+ (* -2 (/ (pow q 2) (pow r 2))) (* 2 (/ p r)))
(- (+ (fabs p) (fabs r)) r)
(- (+ p (+ (fabs p) (fabs r))) r)
(+ (fabs p) (fabs r))
(+ p (+ (fabs p) (fabs r)))
(* -2 (/ (pow q 2) r))
(+ (* -2 (/ (pow q 2) r)) (* 2 p))
p
(* p (- (+ 1 (+ (* -2 (/ (pow q 2) (* p r))) (+ (/ (fabs p) p) (/ (fabs r) p)))) (/ r 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 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)))))))
(* p (+ 1/2 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)))
(* p (+ 1/2 (* -1/2 (/ (- r (+ (fabs p) (fabs r))) p))))
(* p (- (/ r p) (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p)))))
(* p (+ 1 (/ (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) p)))
(* 2 (/ p r))
(* p (+ (* -2 (/ (pow q 2) (* p (pow r 2)))) (* 2 (/ 1 r))))
(* p (- (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))) (/ r p)))
(* p (+ 1 (+ (/ (fabs p) p) (/ (fabs r) p))))
(* 2 p)
(* p (+ 2 (* -2 (/ (pow q 2) (* p r)))))
(* -1 (* p (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r)))) r) p)) 1)))
(* -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)))
(* -1 (* p (- (* -1 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)) 1/2)))
(* -1 (* p (- (* 1/2 (/ (- r (+ (fabs p) (fabs r))) p)) 1/2)))
(* -1 (* p (+ 1 (* -1 (/ (- r (+ (fabs p) (fabs r))) p)))))
(* -1 (* p (- (* -1 (/ (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) p)) 1)))
(* -1 (* p (- (* 2 (/ (pow q 2) (* p (pow r 2)))) (* 2 (/ 1 r)))))
(* -1 (* p (- (* -1 (/ (+ (fabs p) (fabs r)) p)) 1)))
(* -1 (* p (- (* 2 (/ (pow q 2) (* p r))) 2)))
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (fabs r))))) r)
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))))) 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))))))))))
(- (+ (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))))
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))
(* -1 (+ p (+ (fabs p) (fabs r))))
(- r (+ p (+ (fabs p) (fabs r))))
(/ (+ (* -2 (pow q 2)) (* 2 (* p r))) (pow r 2))
(* 2 (/ (pow q 2) (pow r 2)))
(/ (- (pow r 2) (* -2 (pow q 2))) (pow r 2))
(+ p (+ (fabs p) (+ (fabs r) (* -1 r))))
(/ (pow q 2) r)
(/ (+ (* -2 (pow q 2)) (* 2 (* p r))) r)
(* -2 (/ q r))
(* -1 r)
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* -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 (- (+ (/ (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)))))))
(* r (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) r)) 1/2))
r
(* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r))))
(/ (+ (* -2 (/ (pow q 2) r)) (* 2 p)) r)
1
(+ 1 (* 2 (/ (pow q 2) (pow r 2))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) 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)))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(* -1 (/ (+ (* -2 p) (* 2 (/ (pow q 2) r))) r))
(- (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) 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)))))
(- (+ 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)
(+ (* -2 (/ (pow q 2) r)) (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(* (pow q 2) (- (+ (/ p (pow q 2)) (+ (/ (fabs p) (pow q 2)) (/ (fabs r) (pow q 2)))) (+ (* 2 (/ 1 r)) (/ r (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))))))
(* (pow q 2) (- (/ (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) (pow q 2)) (* 2 (/ 1 r))))
(* (pow q 2) (- (* 2 (/ p (* (pow q 2) r))) (* 2 (/ 1 (pow r 2)))))
(* (pow q 2) (+ (/ 1 (pow q 2)) (* 2 (/ 1 (pow r 2)))))
(* (pow q 2) (- (* 2 (/ p (pow q 2))) (* 2 (/ 1 r))))
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)))
(* 2 q)
(* -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
(/ (+ (* -2 (pow q 2)) (* r (- (+ (fabs p) (fabs r)) r))) r)
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) q) q (*.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) r)) r)
(+ p (+ (* -2 (/ (pow q 2) r)) (- (+ (fabs p) (fabs r)) r)))
(fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r))
(* 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))))
(* 1/2 p)
(*.f64 #s(literal 1/2 binary64) p)
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r)
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r (*.f64 #s(literal 1/2 binary64) p))
(* -1/2 (- r (+ (fabs p) (fabs r))))
(*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64))
(+ (* -1/2 (- r (+ (fabs p) (fabs r)))) (* 1/2 p))
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 r (+.f64 (fabs.f64 p) p)) (fabs.f64 r)))
(- r (+ (fabs p) (fabs r)))
(-.f64 (-.f64 r (fabs.f64 r)) (fabs.f64 p))
(- (+ r (* -1 p)) (+ (fabs p) (fabs r)))
(-.f64 (-.f64 r (+.f64 (fabs.f64 p) p)) (fabs.f64 r))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) r) #s(literal 1 binary64)) r)
(+ p (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(fma.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) r) #s(literal 1 binary64)) r p)
(* -2 (/ (pow q 2) (pow r 2)))
(*.f64 (/.f64 (/.f64 (*.f64 q q) r) r) #s(literal -2 binary64))
(+ (* -2 (/ (pow q 2) (pow r 2))) (* 2 (/ p r)))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 q q) r) p)) r)
(- (+ (fabs p) (fabs r)) r)
(-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)
(- (+ p (+ (fabs p) (fabs r))) r)
(-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r)
(+ (fabs p) (fabs r))
(+.f64 (fabs.f64 r) (fabs.f64 p))
(+ p (+ (fabs p) (fabs r)))
(+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))
(* -2 (/ (pow q 2) r))
(*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))
(+ (* -2 (/ (pow q 2) r)) (* 2 p))
(*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 q q) r) p))
p
(* p (- (+ 1 (+ (* -2 (/ (pow q 2) (* p r))) (+ (/ (fabs p) p) (/ (fabs r) p)))) (/ r p)))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r)) p) #s(literal 1 binary64)) 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)
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(* -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)))
(*.f64 (neg.f64 r) (-.f64 (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 q q) r) p (*.f64 q q))) r)) (neg.f64 r)) #s(literal 1/2 binary64)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1)))
(*.f64 (neg.f64 r) (-.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) (neg.f64 r)) #s(literal 1 binary64)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1)))
(*.f64 (neg.f64 r) (-.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) p) (neg.f64 r)) #s(literal 1 binary64)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1)))
(*.f64 (neg.f64 r) (-.f64 (/.f64 (-.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 q q) r) p (*.f64 q q))) r)) p) (neg.f64 r)) #s(literal 1 binary64)))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(*.f64 (neg.f64 r) (fma.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(*.f64 (neg.f64 r) (-.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1 binary64)))
(* -1 (/ (+ (* -2 p) (* 2 (/ (pow q 2) r))) r))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 p (/.f64 (*.f64 q q) r))) (neg.f64 r))
(- (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)
(fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (-.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(*.f64 (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(fma.f64 (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) (-.f64 p r)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(fma.f64 (-.f64 (*.f64 q (/.f64 q (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 p r))) (*.f64 q q) (*.f64 (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64)))
(+ (* 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)))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 q (/.f64 q (pow.f64 (-.f64 p r) #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) (*.f64 q q)) (/.f64 #s(literal 1 binary64) (-.f64 p r))) (*.f64 q q) (*.f64 (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64)))
(- (+ r (+ (fabs p) (fabs r))) p)
(-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) (- p r)))))) p)
(+.f64 (fma.f64 (*.f64 q (/.f64 q (-.f64 p r))) #s(literal -2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 r p))
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) p)
(+.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) q) q (/.f64 #s(literal -2 binary64) (-.f64 p r))) (*.f64 q q) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 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)
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 q (/.f64 q (pow.f64 (-.f64 p r) #s(literal 5 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) (*.f64 q q) (/.f64 #s(literal -2 binary64) (-.f64 p r))) (*.f64 q q) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 r p))
(+ (* -2 (/ (pow q 2) r)) (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(fma.f64 (-.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1 binary64)) r (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))
(* (pow q 2) (- (+ (/ p (pow q 2)) (+ (/ (fabs p) (pow q 2)) (/ (fabs r) (pow q 2)))) (+ (* 2 (/ 1 r)) (/ r (pow q 2)))))
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) (*.f64 q q)) (-.f64 (/.f64 r (*.f64 q q)) (/.f64 #s(literal -2 binary64) r))) (*.f64 q q))
(* -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 (-.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) 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 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal 1/128 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) q)) #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 (-.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 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 (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 (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 2 binary64))) q)
(* (pow q 2) (- (/ (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) (pow q 2)) (* 2 (/ 1 r))))
(*.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1 binary64)) (/.f64 r (*.f64 q q)) (/.f64 #s(literal -2 binary64) r)) (*.f64 q q))
(* (pow q 2) (- (* 2 (/ p (* (pow q 2) r))) (* 2 (/ 1 (pow r 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 q q)) (/.f64 p r) (/.f64 #s(literal -2 binary64) (*.f64 r r))) (*.f64 q q))
(* (pow q 2) (+ (/ 1 (pow q 2)) (* 2 (/ 1 (pow r 2)))))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 (*.f64 q q) r) #s(literal 1 binary64))
(* (pow q 2) (- (* 2 (/ p (pow q 2))) (* 2 (/ 1 r))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) q) (/.f64 p q) (/.f64 #s(literal -2 binary64) r)) (*.f64 q q))
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 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (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 #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 (-.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))
(* 2 q)
(*.f64 #s(literal 2 binary64) q)
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(*.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2)))
(*.f64 (-.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))) (neg.f64 q)) #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 #s(literal -1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))

rewrite186.0ms (2.1%)

Memory
26.4MiB live, 211.5MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071553
0107553
1447539
23689529
08334508
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 202
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) 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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.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) 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) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))))
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))))
(-.f64 r (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))))
#s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q 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 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r)))
(+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p))
(+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p))
(/.f64 (*.f64 q q) r)
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r)
(/.f64 (*.f64 #s(literal -2 binary64) q) r)
Outputs
#s(literal 1/2 binary64)
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 (*.f64 q q) r) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r (*.f64 (*.f64 q q) #s(literal -2 binary64))))) (neg.f64 (neg.f64 r)))
(/.f64 (fma.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) r (*.f64 r (*.f64 (*.f64 q q) #s(literal -2 binary64)))) (*.f64 r r))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) #s(literal 2 binary64)) (*.f64 (pow.f64 q #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r (*.f64 (*.f64 q #s(literal 2 binary64)) q)) r))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 q q) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 q q) #s(literal -2 binary64)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r)) (pow.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) #s(literal 2 binary64))) r))
(/.f64 (neg.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r (*.f64 (*.f64 q q) #s(literal -2 binary64)))) (neg.f64 r))
(/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r (*.f64 (*.f64 q q) #s(literal -2 binary64))) r)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r (*.f64 (*.f64 q q) #s(literal -2 binary64)))) r))
(neg.f64 (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r (*.f64 (*.f64 q q) #s(literal -2 binary64))) (neg.f64 r)))
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) (neg.f64 q)) (neg.f64 q) (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) q (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1 binary64)))
(fma.f64 (/.f64 q r) (*.f64 q #s(literal -2 binary64)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1 binary64)))
(fma.f64 (*.f64 q (/.f64 #s(literal -2 binary64) r)) q (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1 binary64)))
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(*.f64 r (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)) (fma.f64 p (/.f64 #s(literal 2 binary64) r) #s(literal 0 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) r) r) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))) #s(literal 2 binary64))) r) (-.f64 (+.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) r) r) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) r) r) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))) #s(literal 3 binary64))) r) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))) (-.f64 (+.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) r) r) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))) (pow.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) r) r) #s(literal 2 binary64))))
(/.f64 (*.f64 r (-.f64 (pow.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) r) r) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (+.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) r) r) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (-.f64 (pow.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) r) r) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))) (-.f64 (+.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) r) r) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))) (pow.f64 (/.f64 (fma.f64 p #s(literal 2 binary64) r) r) #s(literal 2 binary64))))
(fma.f64 (fma.f64 p (/.f64 #s(literal 2 binary64) r) #s(literal 0 binary64)) r (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) r))
(fma.f64 r (fma.f64 p (/.f64 #s(literal 2 binary64) r) #s(literal 0 binary64)) (*.f64 r (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 p (/.f64 #s(literal 2 binary64) r) #s(literal 0 binary64)) r) (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) r))
(+.f64 (*.f64 r (fma.f64 p (/.f64 #s(literal 2 binary64) r) #s(literal 0 binary64))) (*.f64 r (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)))))
(*.f64 (/.f64 q r) #s(literal -2 binary64))
(*.f64 q (/.f64 #s(literal -2 binary64) r))
(*.f64 #s(literal -2 binary64) (/.f64 q r))
(/.f64 (neg.f64 (*.f64 q #s(literal 2 binary64))) (neg.f64 (neg.f64 r)))
(/.f64 (*.f64 q #s(literal 2 binary64)) (neg.f64 r))
(/.f64 (*.f64 q #s(literal -2 binary64)) r)
(neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 q r)))

eval70.0ms (0.8%)

Memory
-39.7MiB live, 107.6MiB allocated; 14ms collecting garbage
Compiler

Compiled 19 493 to 1 977 computations (89.9% saved)

prune33.0ms (0.4%)

Memory
24.1MiB live, 71.6MiB allocated; 1ms collecting garbage
Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New31818336
Fresh101121
Picked415
Done022
Total33232364
Accuracy
86.8%
Counts
364 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (/.f64 (-.f64 (*.f64 r r) (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)))) r))))
12.9%
(*.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 (-.f64 #s(literal 1 binary64) (/.f64 p r)) r))))
33.4%
(*.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))))
24.3%
(*.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 q r) (*.f64 q (/.f64 #s(literal -2 binary64) r)) (fma.f64 p (/.f64 #s(literal 2 binary64) r) #s(literal 0 binary64))) r)))
19.7%
(*.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 q #s(literal -2 binary64)) (/.f64 q (*.f64 r r)) (fma.f64 p (/.f64 #s(literal 2 binary64) r) #s(literal 0 binary64))) r)))
8.7%
(*.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 (/.f64 (-.f64 (*.f64 (fma.f64 p #s(literal 2 binary64) r) (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 r (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) r)))
9.0%
(*.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 (/.f64 (-.f64 (*.f64 (fma.f64 p #s(literal 2 binary64) r) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 r (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 1 binary64)))) r)))
10.3%
(*.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 (/.f64 (+.f64 (pow.f64 (fma.f64 p (/.f64 #s(literal 2 binary64) r) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 p (/.f64 #s(literal 2 binary64) r) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 p (/.f64 #s(literal 2 binary64) r) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64))))))) r)))
▶22.1%
(*.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 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r)))
26.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) q (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1 binary64))))))
18.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) r (*.f64 r (*.f64 (*.f64 q q) #s(literal -2 binary64)))) (*.f64 r r)))))
6.7%
(*.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 q q) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 q q) #s(literal -2 binary64)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r)) (pow.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) #s(literal 2 binary64))) r)))))
26.0%
(*.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (*.f64 (/.f64 q r) q) #s(literal -2 binary64)))))
▶26.1%
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
10.1%
(*.f64 #s(literal 1/2 binary64) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r)))
5.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) #s(literal -1/2 binary64)) r))
▶2.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓5.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓2.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓34.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
▶41.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64))))
8.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
11.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 r (+.f64 (fabs.f64 r) p)) (fabs.f64 p)))))
▶9.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))))))
8.4%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (+.f64 (fabs.f64 p) p))))))
4.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (+.f64 (fabs.f64 p) p) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (pow.f64 (+.f64 (fabs.f64 p) p) #s(literal 2 binary64)) (*.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)))))))))
9.0%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (+ p (fabs r)) (fabs p)) (+.f64 (fabs.f64 r) (fabs.f64 p)))))))
23.6%
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (fma.f64 (*.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
33.5%
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 r p) #s(literal 1/2 binary64)) q) #s(literal 1 binary64)) q))
20.9%
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
2.7%
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 r #s(literal 2 binary64)) #s(literal 1/2 binary64)))
16.2%
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64)))
Compiler

Compiled 2 995 to 1 950 computations (34.9% saved)

simplify175.0ms (1.9%)

Memory
-3.0MiB live, 182.2MiB allocated; 15ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r)))
cost-diff2
(fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))))
cost-diff0
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p)))))
cost-diff0
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))))))
cost-diff7
(fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))
cost-diff0
(*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))
cost-diff0
#s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))
cost-diff0
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))))
cost-diff0
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
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
(*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64))
cost-diff0
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64))))
cost-diff3
(+.f64 (fabs.f64 p) p)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077681
0106661
1203641
2477633
31521593
45778545
08304525
Stop Event
1×iter limit
1×node limit
1×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 (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64))))
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64)))
(*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64))
(-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p))
(-.f64 r (fabs.f64 r))
r
(fabs.f64 r)
(+.f64 (fabs.f64 p) p)
(fabs.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 #s(literal 1/2 binary64) r))
(*.f64 #s(literal 1/2 binary64) r)
#s(literal 1/2 binary64)
r
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))))
#s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))
(/.f64 (*.f64 q q) r)
(*.f64 q q)
q
r
#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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))))))
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))))
#s(literal -1/2 binary64)
(-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p)))
r
(fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))
(sqrt.f64 (neg.f64 p))
(neg.f64 p)
p
(+.f64 (fabs.f64 r) p)
(fabs.f64 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 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r))
(*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r)
#s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p))
(*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)
(fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r))
(/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r)
(/.f64 (/.f64 (*.f64 q q) r) p)
(/.f64 (*.f64 q q) r)
(*.f64 q q)
q
r
p
#s(literal -2 binary64)
(/.f64 #s(literal 2 binary64) r)
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) #s(literal 0 binary64)) #s(literal -1/2 binary64))))
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64)))
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64))
(*.f64 (-.f64 (-.f64 r (fabs.f64 r)) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p))
(-.f64 (-.f64 r (fabs.f64 r)) #s(literal 0 binary64))
(-.f64 r (fabs.f64 r))
r
(fabs.f64 r)
(+.f64 (fabs.f64 p) p)
#s(literal 0 binary64)
(fabs.f64 p)
(neg.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 #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
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))))
#s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))
(/.f64 (*.f64 q q) r)
(*.f64 q q)
q
r
#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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) #s(literal 0 binary64)) #s(literal -1/2 binary64))))
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p)))))
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))))
(*.f64 (-.f64 (-.f64 r (fabs.f64 r)) #s(literal 0 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p)))
(-.f64 (-.f64 r (fabs.f64 r)) #s(literal 0 binary64))
r
(fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))
(-.f64 (fabs.f64 r) #s(literal 0 binary64))
(sqrt.f64 (neg.f64 p))
(neg.f64 p)
p
(+.f64 (fabs.f64 r) p)
(fabs.f64 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 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r)))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (/.f64 p r) (fma.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64) #s(literal 2 binary64)))) r)) #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)
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (/.f64 p r) (fma.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64) #s(literal 2 binary64)))) r))
(*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r)
(*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (/.f64 p r) (fma.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64) #s(literal 2 binary64)))) r)
#s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p))
#s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (/.f64 p r) (fma.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64) #s(literal 2 binary64))))
(*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)
(*.f64 (/.f64 p r) (fma.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r))
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64) #s(literal 2 binary64)) r)
(/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r)
(/.f64 (/.f64 (*.f64 q q) r) p)
(/.f64 (*.f64 q q) r)
(*.f64 q q)
q
r
p
#s(literal -2 binary64)
(/.f64 #s(literal 2 binary64) r)

localize322.0ms (3.6%)

Memory
0.8MiB live, 535.6MiB allocated; 60ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy3.545904392046756
(/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r)
accuracy6.591129541473333
(/.f64 (*.f64 q q) r)
accuracy9.19960886987108
(*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r)
accuracy43.42847836116843
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r))
accuracy0.0
(fabs.f64 r)
accuracy0.0
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p)))))
accuracy28.803098857916513
(fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))
accuracy30.281048503686318
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))))))
accuracy0.0
(*.f64 q q)
accuracy6.415981265415233
#s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))
accuracy6.591129541473333
(/.f64 (*.f64 q q) r)
accuracy28.486421172858417
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) r)
accuracy47.257339341575836
#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
(fabs.f64 r)
accuracy0.0
(fabs.f64 p)
accuracy0.0
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64)))
accuracy30.281048503686318
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64))))
Samples
166.0ms101×2valid
82.0ms90×1valid
24.0ms62×0invalid
3.0ms2×3valid
1.0ms1×0valid
Compiler

Compiled 422 to 65 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 234.0ms
ival-mult: 101.0ms (43.2% of total)
adjust: 44.0ms (18.8% of total)
ival-div: 29.0ms (12.4% of total)
ival-add: 20.0ms (8.6% of total)
ival-sub: 19.0ms (8.1% of total)
ival-pow2: 9.0ms (3.9% of total)
ival-sqrt: 7.0ms (3% of total)
ival-fabs: 2.0ms (0.9% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series37.0ms (0.4%)

Memory
-8.0MiB live, 89.5MiB allocated; 5ms collecting garbage
Counts
24 → 131
Calls
Call 1
Inputs
(+.f64 (fabs.f64 p) p)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64))))
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64)))
(*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.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 #s(literal 1/2 binary64) r))
(*.f64 #s(literal 1/2 binary64) r)
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))))
#s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))))))
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 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 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r)))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r))
(fabs.f64 p)
(fabs.f64 r)
(/.f64 (*.f64 q q) r)
(*.f64 q q)
(*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r)
(/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r)
Outputs
(fabs p)
(+ p (fabs p))
(* 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))))))))))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1/2 (- r (+ (fabs p) (fabs r))))
(+ (* -1/2 (- r (+ (fabs p) (fabs r)))) (* 1/2 p))
(- (+ (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))))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(+ p (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(fabs r)
(+ (fabs r) (* p (+ 1 (pow (sqrt -1) 2))))
(* -1/2 (- r (fabs r)))
(+ (* -1/2 (- r (fabs r))) (* 1/2 (* p (+ 1 (pow (sqrt -1) 2)))))
(* -2 (/ (pow q 2) (* p (pow r 2))))
(/ (+ (* -2 (/ (pow q 2) (pow r 2))) (* 2 (/ p r))) p)
(* -2 (/ (pow q 2) r))
(+ (* -2 (/ (pow q 2) r)) (* 2 p))
(/ (pow q 2) (* p (pow r 2)))
p
(* p (+ 1 (/ (fabs p) 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 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)))
(* p (+ 1/2 (* -1/2 (/ (- r (+ (fabs p) (fabs r))) p))))
(* -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)))))))
(* p (+ 1 (/ (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) p)))
(* p (+ 1 (pow (sqrt -1) 2)))
(* p (+ 1 (+ (/ (fabs r) p) (pow (sqrt -1) 2))))
(* 1/2 (* p (+ 1 (pow (sqrt -1) 2))))
(* p (+ (* -1/2 (/ (- r (fabs r)) p)) (* 1/2 (+ 1 (pow (sqrt -1) 2)))))
(/ 2 r)
(+ (* -2 (/ (pow q 2) (* p (pow r 2)))) (* 2 (/ 1 r)))
(* 2 p)
(* p (+ 2 (* -2 (/ (pow q 2) (* p r)))))
(* -1 (* p (- (* -1 (/ (fabs p) p)) 1)))
(* -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 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)) 1/2)))
(* -1 (* p (- (* 1/2 (/ (- r (+ (fabs p) (fabs 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)))
(* -1 (* p (- (* -1 (/ (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) p)) 1)))
(* -1 (* p (- (* 2 (/ (pow q 2) (* p 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))))))))))
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))
(* 1/2 r)
(- (+ (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 (pow q 2)) (* r (+ p (+ (fabs p) (fabs r))))) r)
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))))) r)
(+ p (+ (fabs r) (* p (pow (sqrt -1) 2))))
(* 1/2 (+ p (+ (fabs r) (* p (pow (sqrt -1) 2)))))
(+ (* -1/2 r) (* 1/2 (+ p (+ (fabs r) (* p (pow (sqrt -1) 2))))))
(/ (+ (* -2 (/ (pow q 2) p)) (* 2 r)) (pow r 2))
(/ (pow q 2) r)
(/ (+ (* -2 (pow q 2)) (* 2 (* p r))) r)
(* -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 (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) 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)))))))
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* r (- (* 1/2 (/ (+ p (+ (fabs r) (* p (pow (sqrt -1) 2)))) r)) 1/2))
(/ (+ 2 (* -2 (/ (pow q 2) (* p r)))) 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 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
r
(* -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)))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs r) (* p (pow (sqrt -1) 2)))) r)))))
(* -1 (/ (- (* 2 (/ (pow q 2) (* p r))) 2) 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)))))
(- (+ 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)
(+ (* -2 (/ (pow q 2) r)) (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(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))))))
(* (pow q 2) (- (/ (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) (pow q 2)) (* 2 (/ 1 r))))
(* (pow q 2) (- (* 2 (/ 1 (* (pow q 2) r))) (* 2 (/ 1 (* p (pow r 2))))))
(* (pow q 2) (- (* 2 (/ p (pow q 2))) (* 2 (/ 1 r))))
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)))
(* 2 q)
(* -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
5.0ms
p
@-inf
((+ (fabs p) p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (* (- (- r (fabs r)) (+ (fabs p) p)) -1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (* (/ (* q q) r) -2) (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (/ 1 2) (+ (* (/ (/ (/ (* q q) r) p) r) -2) (/ 2 r)) (* (/ 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))))) (fabs p) (fabs r) (/ (* q q) r) (* q q) (* (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) r) (/ (/ (/ (* q q) r) p) r))
5.0ms
q
@inf
((+ (fabs p) p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (* (- (- r (fabs r)) (+ (fabs p) p)) -1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (* (/ (* q q) r) -2) (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (/ 1 2) (+ (* (/ (/ (/ (* q q) r) p) r) -2) (/ 2 r)) (* (/ 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))))) (fabs p) (fabs r) (/ (* q q) r) (* q q) (* (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) r) (/ (/ (/ (* q q) r) p) r))
4.0ms
r
@0
((+ (fabs p) p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (* (- (- r (fabs r)) (+ (fabs p) p)) -1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (* (/ (* q q) r) -2) (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (/ 1 2) (+ (* (/ (/ (/ (* q q) r) p) r) -2) (/ 2 r)) (* (/ 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))))) (fabs p) (fabs r) (/ (* q q) r) (* q q) (* (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) r) (/ (/ (/ (* q q) r) p) r))
4.0ms
r
@-inf
((+ (fabs p) p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (* (- (- r (fabs r)) (+ (fabs p) p)) -1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (* (/ (* q q) r) -2) (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (/ 1 2) (+ (* (/ (/ (/ (* q q) r) p) r) -2) (/ 2 r)) (* (/ 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))))) (fabs p) (fabs r) (/ (* q q) r) (* q q) (* (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) r) (/ (/ (/ (* q q) r) p) r))
4.0ms
p
@0
((+ (fabs p) p) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (* (- (- r (fabs r)) (+ (fabs p) p)) -1/2) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* 1/2 r) (* (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) 1/2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (* (/ (* q q) r) -2) (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (/ 1 2) (+ (* (/ (/ (/ (* q q) r) p) r) -2) (/ 2 r)) (* (/ 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))))) (fabs p) (fabs r) (/ (* q q) r) (* q q) (* (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) r) (/ (/ (/ (* q q) r) p) r))

simplify157.0ms (1.7%)

Memory
17.4MiB live, 257.7MiB allocated; 16ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05972859
118592649
265522630
081082489
Stop Event
1×iter limit
1×node limit
Counts
131 → 128
Calls
Call 1
Inputs
(fabs p)
(+ p (fabs p))
(* 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))))))))))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(* -1/2 (- r (+ (fabs p) (fabs r))))
(+ (* -1/2 (- r (+ (fabs p) (fabs r)))) (* 1/2 p))
(- (+ (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))))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(+ p (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(fabs r)
(+ (fabs r) (* p (+ 1 (pow (sqrt -1) 2))))
(* -1/2 (- r (fabs r)))
(+ (* -1/2 (- r (fabs r))) (* 1/2 (* p (+ 1 (pow (sqrt -1) 2)))))
(* -2 (/ (pow q 2) (* p (pow r 2))))
(/ (+ (* -2 (/ (pow q 2) (pow r 2))) (* 2 (/ p r))) p)
(* -2 (/ (pow q 2) r))
(+ (* -2 (/ (pow q 2) r)) (* 2 p))
(/ (pow q 2) (* p (pow r 2)))
p
(* p (+ 1 (/ (fabs p) 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 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)))
(* p (+ 1/2 (* -1/2 (/ (- r (+ (fabs p) (fabs r))) p))))
(* -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)))))))
(* p (+ 1 (/ (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) p)))
(* p (+ 1 (pow (sqrt -1) 2)))
(* p (+ 1 (+ (/ (fabs r) p) (pow (sqrt -1) 2))))
(* 1/2 (* p (+ 1 (pow (sqrt -1) 2))))
(* p (+ (* -1/2 (/ (- r (fabs r)) p)) (* 1/2 (+ 1 (pow (sqrt -1) 2)))))
(/ 2 r)
(+ (* -2 (/ (pow q 2) (* p (pow r 2)))) (* 2 (/ 1 r)))
(* 2 p)
(* p (+ 2 (* -2 (/ (pow q 2) (* p r)))))
(* -1 (* p (- (* -1 (/ (fabs p) p)) 1)))
(* -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 (/ (* r (- (* 1/2 (+ (/ (fabs p) r) (/ (fabs r) r))) 1/2)) p)) 1/2)))
(* -1 (* p (- (* 1/2 (/ (- r (+ (fabs p) (fabs 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)))
(* -1 (* p (- (* -1 (/ (* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) p)) 1)))
(* -1 (* p (- (* 2 (/ (pow q 2) (* p 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))))))))))
(* 1/2 (+ p (+ (fabs p) (fabs r))))
(+ (* -1/2 r) (* 1/2 (+ p (+ (fabs p) (fabs r)))))
(* 1/2 r)
(- (+ (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 (pow q 2)) (* r (+ p (+ (fabs p) (fabs r))))) r)
(/ (+ (* -2 (pow q 2)) (* r (+ p (+ (fabs p) (+ (fabs r) (* -1 r)))))) r)
(+ p (+ (fabs r) (* p (pow (sqrt -1) 2))))
(* 1/2 (+ p (+ (fabs r) (* p (pow (sqrt -1) 2)))))
(+ (* -1/2 r) (* 1/2 (+ p (+ (fabs r) (* p (pow (sqrt -1) 2))))))
(/ (+ (* -2 (/ (pow q 2) p)) (* 2 r)) (pow r 2))
(/ (pow q 2) r)
(/ (+ (* -2 (pow q 2)) (* 2 (* p r))) r)
(* -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 (- (* 1/2 (/ (+ p (+ (fabs p) (fabs r))) 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)))))))
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(* r (- (* 1/2 (/ (+ p (+ (fabs r) (* p (pow (sqrt -1) 2)))) r)) 1/2))
(/ (+ 2 (* -2 (/ (pow q 2) (* p r)))) 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 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
r
(* -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)))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs r) (* p (pow (sqrt -1) 2)))) r)))))
(* -1 (/ (- (* 2 (/ (pow q 2) (* p r))) 2) 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)))))
(- (+ 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)
(+ (* -2 (/ (pow q 2) r)) (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(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))))))
(* (pow q 2) (- (/ (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) (pow q 2)) (* 2 (/ 1 r))))
(* (pow q 2) (- (* 2 (/ 1 (* (pow q 2) r))) (* 2 (/ 1 (* p (pow r 2))))))
(* (pow q 2) (- (* 2 (/ p (pow q 2))) (* 2 (/ 1 r))))
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)))
(* 2 q)
(* -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
(fabs p)
(fabs.f64 p)
(+ p (fabs p))
(+.f64 (fabs.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)))
(* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2))
(*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r)
(+ (* 1/2 p) (* r (- (* 1/2 (/ (+ (fabs p) (fabs r)) r)) 1/2)))
(fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r (*.f64 #s(literal 1/2 binary64) p))
(* -1/2 (- r (+ (fabs p) (fabs r))))
(*.f64 (-.f64 (-.f64 r (fabs.f64 p)) (fabs.f64 r)) #s(literal -1/2 binary64))
(+ (* -1/2 (- r (+ (fabs p) (fabs r)))) (* 1/2 p))
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (-.f64 r (fabs.f64 p)) (fabs.f64 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))))
(- (+ (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))))
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(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 p (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fabs.f64 r))) (fabs.f64 p)) r) #s(literal 1 binary64)) 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)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) p) (*.f64 q (/.f64 q (pow.f64 r #s(literal 3 binary64)))) (-.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) r) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) (neg.f64 p)) r))) r)
(* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1))
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64)) r)
(* r (- (+ (* -2 (/ (pow q 2) (pow r 2))) (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r)))) 1))
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 p (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fabs.f64 r))) (fabs.f64 p)) r) #s(literal 1 binary64)) r)
(* r (- (* 1/2 (/ (+ p (+ (fabs r) (* p (pow (sqrt -1) 2)))) r)) 1/2))
(*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) p (fabs.f64 r)) r) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) r)
(/ (+ 2 (* -2 (/ (pow q 2) (* p r)))) r)
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64) #s(literal 2 binary64)) r)
(* -1 (* r (- (* -1/2 (/ (- (+ (fabs p) (fabs r)) p) r)) 1/2)))
(*.f64 (neg.f64 r) (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) r) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(* -1 (* r (- (* -1 (/ (+ (* 1/2 (- (+ (fabs p) (fabs r)) p)) (/ (pow q 2) r)) r)) 1/2)))
(*.f64 (neg.f64 r) (-.f64 (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64) (/.f64 (*.f64 q q) r)) (neg.f64 r)) #s(literal 1/2 binary64)))
(* -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)))
(*.f64 (neg.f64 r) (-.f64 (/.f64 (fma.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 q q) r) p (*.f64 q q))) r)) (neg.f64 r)) #s(literal 1/2 binary64)))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(*.f64 (neg.f64 r) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
r
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (fabs r)) p) r)) 1)))
(*.f64 (neg.f64 r) (-.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) (neg.f64 r)) #s(literal 1 binary64)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* 2 (/ (pow q 2) r)))) p) r)) 1)))
(*.f64 (neg.f64 r) (-.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 q q) r) #s(literal 2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) p) (neg.f64 r)) #s(literal 1 binary64)))
(* -1 (* r (- (* -1 (/ (- (+ (fabs p) (+ (fabs r) (* -1 (/ (- (* -2 (/ (* p (pow q 2)) r)) (* 2 (pow q 2))) r)))) p) r)) 1)))
(*.f64 (neg.f64 r) (-.f64 (/.f64 (-.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 q q) r) p (*.f64 q q))) r)) p) (neg.f64 r)) #s(literal 1 binary64)))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (fabs r))) r)))))
(*.f64 (neg.f64 r) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r)))
(* -1 (* r (+ 1 (* -1 (/ (+ p (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) r))))) r)))))
(*.f64 (neg.f64 r) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 p (fma.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64) (fabs.f64 r))) (fabs.f64 p)) r)))
(* -1 (* r (+ 1/2 (* -1/2 (/ (+ p (+ (fabs r) (* p (pow (sqrt -1) 2)))) r)))))
(*.f64 (neg.f64 r) (fma.f64 (/.f64 (fma.f64 #s(literal 0 binary64) p (fabs.f64 r)) r) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (/ (- (* 2 (/ (pow q 2) (* p r))) 2) r))
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) p) (/.f64 (*.f64 q q) r) #s(literal -2 binary64)) r))
(* 1/2 (- (+ r (+ (fabs p) (fabs r))) p))
(*.f64 (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64))
(+ (* -1 (/ (pow q 2) (- p r))) (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)))
(fma.f64 (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) (-.f64 p r)))
(+ (* 1/2 (- (+ r (+ (fabs p) (fabs r))) p)) (* (pow q 2) (- (/ (pow q 2) (pow (- p r) 3)) (/ 1 (- p r)))))
(fma.f64 (-.f64 (*.f64 q (/.f64 q (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 p r))) (*.f64 q q) (*.f64 (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64)))
(+ (* 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)))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 q (/.f64 q (pow.f64 (-.f64 p r) #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) (*.f64 q q)) (/.f64 #s(literal 1 binary64) (-.f64 p r))) (*.f64 q q) (*.f64 (-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p) #s(literal 1/2 binary64)))
(- (+ r (+ (fabs p) (fabs r))) p)
(-.f64 (+.f64 (+.f64 r (fabs.f64 r)) (fabs.f64 p)) p)
(- (+ r (+ (fabs p) (+ (fabs r) (* -2 (/ (pow q 2) (- p r)))))) p)
(+.f64 (fma.f64 (*.f64 q (/.f64 q (-.f64 p r))) #s(literal -2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 r p))
(- (+ r (+ (fabs p) (+ (fabs r) (* (pow q 2) (- (* 2 (/ (pow q 2) (pow (- p r) 3))) (* 2 (/ 1 (- p r)))))))) p)
(+.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64))) q) q (/.f64 #s(literal -2 binary64) (-.f64 p r))) (*.f64 q q) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 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)
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 q (/.f64 q (pow.f64 (-.f64 p r) #s(literal 5 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 p r) #s(literal 3 binary64)))) (*.f64 q q) (/.f64 #s(literal -2 binary64) (-.f64 p r))) (*.f64 q q) (+.f64 (fabs.f64 r) (fabs.f64 p))) (-.f64 r p))
(+ (* -2 (/ (pow q 2) r)) (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)))
(fma.f64 (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64)) r (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))
(pow q 2)
(*.f64 q q)
(* -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 (-.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) 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 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) #s(literal 1/128 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) q)) #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 (-.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 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 (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 (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 2 binary64))) q)
(* (pow q 2) (- (/ (* r (- (+ (/ p r) (+ (/ (fabs p) r) (/ (fabs r) r))) 1)) (pow q 2)) (* 2 (/ 1 r))))
(*.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 binary64)) (/.f64 r (*.f64 q q)) (/.f64 #s(literal -2 binary64) r)) (*.f64 q q))
(* (pow q 2) (- (* 2 (/ 1 (* (pow q 2) r))) (* 2 (/ 1 (* p (pow r 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 q q) r)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 r p) r))) (*.f64 q q))
(* (pow q 2) (- (* 2 (/ p (pow q 2))) (* 2 (/ 1 r))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) q) (/.f64 p q) (/.f64 #s(literal -2 binary64) r)) (*.f64 q q))
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 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))) (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 #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 (-.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))
(* 2 q)
(*.f64 q #s(literal 2 binary64))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (fabs r)) q)) 2)))
(*.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))
(* -1 (* q (- (* -1 (/ (+ (fabs p) (+ (fabs r) (* 1/4 (/ (pow (- p r) 2) q)))) q)) 2)))
(*.f64 (-.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))) (neg.f64 q)) #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 #s(literal -1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)) (neg.f64 q)) #s(literal 2 binary64)) (neg.f64 q))

rewrite146.0ms (1.6%)

Memory
0.8MiB live, 235.0MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077556
0105540
1436524
23828518
08188498
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 238
Calls
Call 1
Inputs
(+.f64 (fabs.f64 p) p)
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64))))
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64)))
(*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.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 #s(literal 1/2 binary64) r))
(*.f64 #s(literal 1/2 binary64) r)
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))))
#s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))))))
#s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 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 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r)))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r))
(fabs.f64 p)
(fabs.f64 r)
(/.f64 (*.f64 q q) r)
(*.f64 q q)
(*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r)
(/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r)
Outputs
(/.f64 (neg.f64 (fma.f64 p p (*.f64 (neg.f64 p) p))) (neg.f64 (-.f64 (neg.f64 p) p)))
(/.f64 (neg.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (neg.f64 (fma.f64 p (-.f64 p (neg.f64 p)) (*.f64 p p))))
(/.f64 (fma.f64 p p (*.f64 (neg.f64 p) p)) (-.f64 p (neg.f64 p)))
(/.f64 (fma.f64 p p (*.f64 (neg.f64 p) p)) (-.f64 (neg.f64 p) p))
(/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (fma.f64 p (-.f64 p (neg.f64 p)) (*.f64 p p)))
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 p)) (sqrt.f64 p))) (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 p)) (sqrt.f64 p))) p)
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 p) (neg.f64 (sqrt.f64 p)))) (sqrt.f64 (*.f64 (sqrt.f64 p) (neg.f64 (sqrt.f64 p)))) p)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 p))) (sqrt.f64 (neg.f64 (neg.f64 p))) p)
(fma.f64 (sqrt.f64 (pow.f64 (sqrt.f64 p) #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 p)) p)
(fma.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 p)) (sqrt.f64 p)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 p)) (sqrt.f64 p)) #s(literal 1/2 binary64)) p)
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 p) (neg.f64 (sqrt.f64 p))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 p) (neg.f64 (sqrt.f64 p))) #s(literal 1/2 binary64)) p)
(fma.f64 (pow.f64 (neg.f64 (neg.f64 p)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 p)) #s(literal 1/2 binary64)) p)
(fma.f64 (pow.f64 (pow.f64 (sqrt.f64 p) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 p)) p)
(fma.f64 (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 p))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 p))) #s(literal 1 binary64)) p)
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(/.f64 (fma.f64 #s(literal -2 binary64) r (*.f64 (neg.f64 r) (*.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64)))) (*.f64 (neg.f64 r) r))
(/.f64 (fma.f64 #s(literal 2 binary64) r (*.f64 r (*.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64)))) (*.f64 r r))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) r) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64)) #s(literal 2 binary64)) r))
(/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) r) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) r) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) r) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 2 binary64) r) (-.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64))))))
(fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r))
(fma.f64 (/.f64 (/.f64 (*.f64 q q) r) p) (/.f64 #s(literal -2 binary64) r) (/.f64 #s(literal 2 binary64) r))
(fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) (/.f64 #s(literal 2 binary64) r))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64)) #s(literal 2 binary64)) r)) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) r) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64)) #s(literal 2 binary64)) r)))
(-.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r)) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 2 binary64) r) (-.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) r) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 2 binary64) r) (-.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64)))))))
(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) r))
(+.f64 (/.f64 #s(literal 2 binary64) r) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64)))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64) #s(literal 2 binary64)) r) p)) r)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64) #s(literal 2 binary64)) r) p)) r)))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64) #s(literal 2 binary64)) r) p)) r))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 p)) (sqrt.f64 p))) (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 p)) (sqrt.f64 p))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 p) (neg.f64 (sqrt.f64 p)))) (sqrt.f64 (*.f64 (sqrt.f64 p) (neg.f64 (sqrt.f64 p)))))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 p))) (sqrt.f64 (neg.f64 (neg.f64 p))))
(*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 p) #s(literal 3 binary64))) (sqrt.f64 (sqrt.f64 p)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 p)) (sqrt.f64 p)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 p)) (sqrt.f64 p)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 p) (neg.f64 (sqrt.f64 p))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 p) (neg.f64 (sqrt.f64 p))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 p)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 p)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 p) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 p)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 p))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 p))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 p))) (neg.f64 (neg.f64 (sqrt.f64 p))))
(*.f64 (sqrt.f64 (sqrt.f64 p)) (sqrt.f64 (pow.f64 (sqrt.f64 p) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 p)) (pow.f64 (pow.f64 (sqrt.f64 p) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 p)) (neg.f64 (sqrt.f64 p)))
(*.f64 (sqrt.f64 p) (sqrt.f64 p))
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 p))) #s(literal 2 binary64))
(pow.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 p)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 p) #s(literal 2 binary64))
(pow.f64 (neg.f64 p) #s(literal 1 binary64))
(pow.f64 p #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 p)) (sqrt.f64 p)))
(neg.f64 (*.f64 (sqrt.f64 p) (neg.f64 (sqrt.f64 p))))
(neg.f64 p)
(sqrt.f64 (*.f64 p p))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 p))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 p)) (sqrt.f64 p)))
(fabs.f64 (*.f64 (sqrt.f64 p) (neg.f64 (sqrt.f64 p))))
(fabs.f64 (neg.f64 (neg.f64 p)))
(fabs.f64 (neg.f64 p))
(fabs.f64 p)
(exp.f64 (*.f64 (log.f64 (neg.f64 p)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 p p)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 p))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (neg.f64 p)))
(+.f64 (cosh.f64 (log.f64 (neg.f64 p))) (sinh.f64 (log.f64 (neg.f64 p))))
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 r))) (sqrt.f64 (neg.f64 (fabs.f64 r))))
(*.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)))
(*.f64 (sqrt.f64 (fabs.f64 r)) (sqrt.f64 (fabs.f64 r)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 r)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 r)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 r) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 r) (sqrt.f64 r))
(pow.f64 (pow.f64 r #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 r) #s(literal 2 binary64))
(pow.f64 (*.f64 r r) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 r) #s(literal 1 binary64))
(pow.f64 r #s(literal 1 binary64))
(sqrt.f64 (*.f64 r r))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 r))))
(fabs.f64 (neg.f64 (fabs.f64 r)))
(fabs.f64 (neg.f64 (neg.f64 r)))
(fabs.f64 (neg.f64 r))
(fabs.f64 (fabs.f64 r))
(fabs.f64 r)
(exp.f64 (*.f64 (log.f64 (*.f64 r r)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 q) (/.f64 (neg.f64 q) r))
(*.f64 (/.f64 q r) q)
(*.f64 q (/.f64 q r))
(/.f64 (*.f64 (neg.f64 q) q) (neg.f64 r))
(/.f64 (*.f64 q q) (neg.f64 (neg.f64 r)))
(/.f64 (*.f64 q q) r)
(neg.f64 (/.f64 (*.f64 (neg.f64 q) q) r))
(*.f64 (pow.f64 (neg.f64 (neg.f64 q)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 q)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 q)) (neg.f64 (neg.f64 q)))
(*.f64 (neg.f64 q) (neg.f64 q))
(*.f64 q q)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 q))
(pow.f64 (neg.f64 (neg.f64 q)) #s(literal 2 binary64))
(pow.f64 (neg.f64 q) #s(literal 2 binary64))
(pow.f64 (*.f64 q q) #s(literal 1 binary64))
(pow.f64 q #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 q) q))
(sqrt.f64 (pow.f64 q #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 q) q))
(fabs.f64 (*.f64 q q))
(exp.f64 (+.f64 (log.f64 q) (log.f64 q)))
(exp.f64 (*.f64 (log.f64 (neg.f64 q)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 q) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 q) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 q) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 q) #s(literal 2 binary64))))
(*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64) #s(literal 2 binary64)) r) p)) r)
(*.f64 r #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64) #s(literal 2 binary64)) r) p)))
(*.f64 (/.f64 q p) (/.f64 (/.f64 q r) r))
(*.f64 q (/.f64 (/.f64 q r) (*.f64 r p)))
(/.f64 (/.f64 (/.f64 (*.f64 (neg.f64 q) q) r) p) (neg.f64 r))
(/.f64 (/.f64 (*.f64 (neg.f64 q) q) r) (neg.f64 (*.f64 r p)))
(/.f64 (/.f64 (*.f64 (neg.f64 q) q) r) (*.f64 (neg.f64 p) r))
(/.f64 (*.f64 (neg.f64 q) q) (*.f64 (neg.f64 r) (*.f64 r p)))
(/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) (neg.f64 (neg.f64 r)))
(/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r)
(/.f64 (/.f64 (*.f64 q q) r) (*.f64 r p))
(/.f64 (*.f64 q q) (*.f64 (*.f64 r p) r))
(/.f64 (*.f64 q q) (*.f64 r (*.f64 r p)))
(neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 (neg.f64 q) q) r) p) r))
(neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) (neg.f64 r)))

eval56.0ms (0.6%)

Memory
-17.1MiB live, 128.8MiB allocated; 13ms collecting garbage
Compiler

Compiled 22 953 to 2 449 computations (89.3% saved)

prune87.0ms (1%)

Memory
28.2MiB live, 122.3MiB allocated; 2ms collecting garbage
Pruning

35 alts after pruning (29 fresh and 6 done)

PrunedKeptTotal
New38415399
Fresh101424
Picked235
Done033
Total39635431
Accuracy
86.8%
Counts
431 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (/.f64 (-.f64 (*.f64 r r) (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)))) r))))
33.4%
(*.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))))
24.3%
(*.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 q r) (*.f64 q (/.f64 #s(literal -2 binary64) r)) (fma.f64 p (/.f64 #s(literal 2 binary64) r) #s(literal 0 binary64))) r)))
8.7%
(*.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 (/.f64 (-.f64 (*.f64 (fma.f64 p #s(literal 2 binary64) r) (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 r (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) r)))
21.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (*.f64 q (/.f64 (/.f64 q r) (*.f64 r p))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r)))
21.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 #s(approx (+ (* (/ (/ (/ (* q q) r) p) r) -2) (/ 2 r)) (*.f64 (/.f64 #s(literal -2 binary64) p) (*.f64 (/.f64 q r) (/.f64 q r)))) p)) r)))
25.3%
(*.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))))) #s(approx (* (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) r) (*.f64 #s(literal -2 binary64) (fma.f64 q (/.f64 q r) (neg.f64 p))))))
18.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) r (*.f64 r (*.f64 (*.f64 q q) #s(literal -2 binary64)))) (*.f64 r r)))))
6.7%
(*.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 q q) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 q q) #s(literal -2 binary64)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r)) (pow.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) #s(literal 2 binary64))) r)))))
22.1%
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64) #s(literal 2 binary64)) r) p)) r)) #s(literal 1/2 binary64))
25.3%
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 q)) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
✓26.1%
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
25.3%
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 q) #s(literal 2 binary64))) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
26.0%
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 q r) (*.f64 #s(literal -2 binary64) q)))) #s(literal 1/2 binary64))
25.9%
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) q))) #s(literal 1/2 binary64))
10.1%
(*.f64 #s(literal 1/2 binary64) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) r)))
5.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) #s(literal -1/2 binary64)) r))
✓2.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓5.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓2.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
✓34.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
5.8%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (/.f64 (fma.f64 p p (*.f64 (neg.f64 p) p)) (-.f64 p (neg.f64 p)))) #s(literal -1/2 binary64))))
11.6%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (exp.f64 (*.f64 (log.f64 (*.f64 r r)) #s(literal 1/2 binary64)))) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64))))
11.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 r (+.f64 (fabs.f64 r) p)) (fabs.f64 p)))))
✓9.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))))))
8.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (+.f64 (neg.f64 p) p))))))
4.7%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (+.f64 (neg.f64 p) p) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (pow.f64 (+.f64 (neg.f64 p) p) #s(literal 2 binary64)) (*.f64 (fabs.f64 r) (+.f64 (neg.f64 p) p)))))))))
21.1%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (*.f64 (+.f64 (/.f64 (fabs.f64 r) p) #s(literal 0 binary64)) p))))))
29.3%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (fabs.f64 r))))))
15.9%
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) #s(approx (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (*.f64 #s(literal 0 binary64) p))))
23.6%
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (fma.f64 (*.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))
33.5%
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 r p) #s(literal 1/2 binary64)) q) #s(literal 1 binary64)) q))
20.9%
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 r r)))) #s(literal 1/2 binary64)))
2.7%
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 r #s(literal 2 binary64)) #s(literal 1/2 binary64)))
16.2%
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64)))
Compiler

Compiled 5 534 to 1 704 computations (69.2% saved)

regimes235.0ms (2.6%)

Memory
-42.4MiB live, 284.9MiB allocated; 58ms collecting garbage
Counts
76 → 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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) #s(approx (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (*.f64 #s(literal 0 binary64) p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 r #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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (+ p (fabs r)) (fabs p)) (+.f64 (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 (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 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 (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 r (+.f64 (fabs.f64 r) p)) (fabs.f64 p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64))))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) q))) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 q r) (*.f64 #s(literal -2 binary64) q)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 r p) #s(literal 1/2 binary64)) q) #s(literal 1 binary64)) q))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (fma.f64 (*.f64 p #s(literal 2 binary64)) #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) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (*.f64 (+.f64 (/.f64 (fabs.f64 r) p) #s(literal 0 binary64)) p))))))
(*.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))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (/.f64 p r)) r)))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (-.f64 r (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 (/.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) (fabs.f64 p)) r) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (*.f64 (/.f64 q r) q) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (+.f64 (fabs.f64 p) p))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (+.f64 (neg.f64 p) p))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) r) (*.f64 #s(literal -2 binary64) (fma.f64 q (/.f64 q r) (neg.f64 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 r r)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (/.f64 (fma.f64 p p (*.f64 (neg.f64 p) p)) (-.f64 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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))))))
(*.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 (-.f64 #s(literal 1 binary64) (/.f64 p 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 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 r p))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (*.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (*.f64 q q) r))) 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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) 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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) q (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) #s(literal 1 binary64))))))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 q q) r) p) #s(literal -2 binary64) #s(literal 2 binary64)) r) p)) r)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) 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 q #s(literal -2 binary64)) (/.f64 q (*.f64 r r)) (fma.f64 p (/.f64 #s(literal 2 binary64) r) #s(literal 0 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 #s(approx (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) (*.f64 r r))) 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 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 #s(approx (+ (* (/ (/ (/ (* q q) r) p) r) -2) (/ 2 r)) (*.f64 (/.f64 #s(literal -2 binary64) p) (*.f64 (/.f64 q r) (/.f64 q r)))) p)) 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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) r (*.f64 r (*.f64 (*.f64 q q) #s(literal -2 binary64)))) (*.f64 r 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 q r) (*.f64 q (/.f64 #s(literal -2 binary64) r)) (fma.f64 p (/.f64 #s(literal 2 binary64) r) #s(literal 0 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 (/.f64 #s(literal -2 binary64) r) q) (/.f64 q r) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 1 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 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 1 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 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (*.f64 q (/.f64 (/.f64 q r) (*.f64 r p))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) 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 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) q) r) (/.f64 q r)))) 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 r) q) (-.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1 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)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) (*.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 q q) r) p) r) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) r)) p)) r)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) p) (fabs.f64 p)) r) #s(literal 1/2 binary64) (/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 q q) r) p (*.f64 q q))) r) 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 (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)))))) (*.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)))
(*.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))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) r) #s(literal 1 binary64)) q) (/.f64 r q)) (/.f64 #s(literal 2 binary64) r)) (*.f64 q q)))))
#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 p p)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) (-.f64 #s(literal 1 binary64) (*.f64 p (/.f64 p (fma.f64 (*.f64 q q) #s(literal 4 binary64) (*.f64 p p))))) (*.f64 #s(literal 1/2 binary64) p))) r (*.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 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (exp.f64 (*.f64 (log.f64 (*.f64 r r)) #s(literal 1/2 binary64)))) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64))))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 q) #s(literal 2 binary64))) r) #s(literal -2 binary64)))) #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 (+.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)) (fma.f64 (sqrt.f64 p) (sqrt.f64 p) (/.f64 (-.f64 (*.f64 r r) (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)))) r))))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 q)) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (pow.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)) #s(literal 2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (+.f64 (fabs.f64 p) p) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (pow.f64 (+.f64 (fabs.f64 p) p) #s(literal 2 binary64)) (*.f64 (fabs.f64 r) (+.f64 (fabs.f64 p) p)))))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (+.f64 (neg.f64 p) p) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (pow.f64 (+.f64 (neg.f64 p) p) #s(literal 2 binary64)) (*.f64 (fabs.f64 r) (+.f64 (neg.f64 p) p)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 p p) #s(literal 1/4 binary64)) (pow.f64 (*.f64 p p) #s(literal 1/4 binary64)) (-.f64 r (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 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 p p)) (-.f64 (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) p)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 q #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 q q) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 q q) #s(literal -2 binary64)) (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r)) (pow.f64 (*.f64 (-.f64 (+.f64 (fabs.f64 r) p) (-.f64 r (fabs.f64 p))) r) #s(literal 2 binary64))) r)))))
(/.f64 (-.f64 (*.f64 (*.f64 p #s(literal 1/2 binary64)) (*.f64 p #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.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 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 p #s(literal 1/2 binary64)) (*.f64 (-.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 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 r r) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) p r) r)) (*.f64 (*.f64 q q) #s(literal -2 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) p r) r) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) p r) r)) (*.f64 r r))) 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 (/.f64 (-.f64 (*.f64 (fma.f64 p #s(literal 2 binary64) r) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 r (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 1 binary64)))) r)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (-.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 (pow.f64 (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 p (-.f64 r (sqrt.f64 (fma.f64 (*.f64 q q) #s(literal 4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 (/.f64 (-.f64 (*.f64 (fma.f64 p #s(literal 2 binary64) r) (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 r (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 r (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 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 (/.f64 (+.f64 (pow.f64 (fma.f64 p (/.f64 #s(literal 2 binary64) r) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 p (/.f64 #s(literal 2 binary64) r) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 q r) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 p (/.f64 #s(literal 2 binary64) r) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 q r) #s(literal 2 binary64))))))) r)))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) r))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
Calls

7 calls:

89.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
33.0ms
q
31.0ms
(-.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))))))
22.0ms
(pow.f64 q #s(literal 2 binary64))
20.0ms
p
Results
AccuracySegmentsBranch
69.3%3(pow.f64 q #s(literal 2 binary64))
69.3%3(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
54.4%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))))))
54.4%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)))))))
59.7%3p
57.1%3r
69.3%3q
Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes57.0ms (0.6%)

Memory
-28.5MiB live, 65.7MiB allocated; 2ms collecting garbage
Counts
37 → 4
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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) #s(approx (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (*.f64 #s(literal 0 binary64) p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 r #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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (+ p (fabs r)) (fabs p)) (+.f64 (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 (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 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 (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 r (+.f64 (fabs.f64 r) p)) (fabs.f64 p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64))))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) q))) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 q r) (*.f64 #s(literal -2 binary64) q)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 r p) #s(literal 1/2 binary64)) q) #s(literal 1 binary64)) q))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (fma.f64 (*.f64 p #s(literal 2 binary64)) #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) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (*.f64 (+.f64 (/.f64 (fabs.f64 r) p) #s(literal 0 binary64)) p))))))
(*.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))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (/.f64 p r)) r)))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (-.f64 r (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 (/.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) (fabs.f64 p)) r) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (*.f64 (/.f64 q r) q) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (+.f64 (fabs.f64 p) p))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (+.f64 (neg.f64 p) p))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) r) (*.f64 #s(literal -2 binary64) (fma.f64 q (/.f64 q r) (neg.f64 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 r r)))) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (/.f64 (fma.f64 p p (*.f64 (neg.f64 p) p)) (-.f64 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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 (neg.f64 p)) (sqrt.f64 (neg.f64 p)) (+.f64 (fabs.f64 r) p))))))
(*.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 (-.f64 #s(literal 1 binary64) (/.f64 p 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 (neg.f64 p) (-.f64 #s(literal 1 binary64) (/.f64 r p))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (*.f64 (/.f64 #s(literal -2 binary64) r) (/.f64 (*.f64 q q) r))) r)))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.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)))))) (neg.f64 q))
(*.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))))) #s(approx (* (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) r) (*.f64 #s(literal -2 binary64) (fma.f64 q (/.f64 q r) (neg.f64 p))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
Calls

3 calls:

30.0ms
q
8.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
8.0ms
(pow.f64 q #s(literal 2 binary64))
Results
AccuracySegmentsBranch
70.4%4(pow.f64 q #s(literal 2 binary64))
70.4%4(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
70.4%4q
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes24.0ms (0.3%)

Memory
43.5MiB live, 43.5MiB allocated; 0ms collecting garbage
Counts
30 → 4
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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) #s(approx (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (*.f64 #s(literal 0 binary64) p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 r #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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (+ p (fabs r)) (fabs p)) (+.f64 (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 (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 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 (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 r (+.f64 (fabs.f64 r) p)) (fabs.f64 p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64))))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) q))) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 q r) (*.f64 #s(literal -2 binary64) q)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 r p) #s(literal 1/2 binary64)) q) #s(literal 1 binary64)) q))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (fma.f64 (*.f64 p #s(literal 2 binary64)) #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) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (*.f64 (+.f64 (/.f64 (fabs.f64 r) p) #s(literal 0 binary64)) p))))))
(*.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))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(approx (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) (/.f64 p r)) r)))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (-.f64 r (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 (/.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) (fabs.f64 p)) r) p) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (*.f64 (/.f64 q r) q) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (+.f64 (fabs.f64 p) p))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r (fma.f64 (sqrt.f64 r) (sqrt.f64 r) (+.f64 (neg.f64 p) p))))))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.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)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (fma.f64 (*.f64 p #s(literal 2 binary64)) #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)))))) (neg.f64 q))
Calls

3 calls:

8.0ms
q
7.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
7.0ms
(pow.f64 q #s(literal 2 binary64))
Results
AccuracySegmentsBranch
70.4%4(pow.f64 q #s(literal 2 binary64))
70.4%4(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
70.4%4q
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes46.0ms (0.5%)

Memory
-17.0MiB live, 33.5MiB allocated; 1ms collecting garbage
Counts
19 → 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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) #s(approx (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (*.f64 #s(literal 0 binary64) p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 r #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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (+ p (fabs r)) (fabs p)) (+.f64 (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 (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 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 (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 r (+.f64 (fabs.f64 r) p)) (fabs.f64 p)))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64))))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) r) q) q))) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 q r) (*.f64 #s(literal -2 binary64) q)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (*.f64 (/.f64 (*.f64 q q) r) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 r p) #s(literal 1/2 binary64)) q) #s(literal 1 binary64)) q))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.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)))))) (neg.f64 q))
Calls

3 calls:

5.0ms
q
5.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
5.0ms
(pow.f64 q #s(literal 2 binary64))
Results
AccuracySegmentsBranch
67.1%2(pow.f64 q #s(literal 2 binary64))
67.1%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
67.1%2q
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes41.0ms (0.5%)

Memory
-21.4MiB live, 26.1MiB allocated; 1ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) #s(approx (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (*.f64 #s(literal 0 binary64) p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 r #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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (+ p (fabs r)) (fabs p)) (+.f64 (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 (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (+.f64 (+.f64 p (fabs.f64 r)) (fabs.f64 p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 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 (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 r (+.f64 (fabs.f64 r) p)) (fabs.f64 p)))))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
Calls

4 calls:

28.0ms
(pow.f64 q #s(literal 2 binary64))
4.0ms
p
4.0ms
q
4.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
56.2%3p
56.0%2(pow.f64 q #s(literal 2 binary64))
56.0%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
56.0%2q
Compiler

Compiled 10 to 18 computations (-80% saved)

regimes20.0ms (0.2%)

Memory
34.1MiB live, 34.1MiB allocated; 0ms collecting garbage
Counts
9 → 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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) #s(approx (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (*.f64 #s(literal 0 binary64) p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) #s(literal -1/2 binary64)) r))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 r #s(literal 2 binary64)) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 p #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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) #s(approx (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (*.f64 #s(literal 0 binary64) 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
r
3.0ms
q
3.0ms
p
3.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
3.0ms
(pow.f64 q #s(literal 2 binary64))
Results
AccuracySegmentsBranch
40.5%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))))))
40.5%2(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
45.7%3p
39.7%2r
45.6%2(pow.f64 q #s(literal 2 binary64))
45.6%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
47.8%3q
Compiler

Compiled 51 to 54 computations (-5.9% saved)

regimes16.0ms (0.2%)

Memory
-33.8MiB live, 13.8MiB allocated; 1ms 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)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) #s(approx (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (*.f64 #s(literal 0 binary64) p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(approx (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) #s(literal -1/2 binary64)) r))
Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) #s(approx (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (*.f64 #s(literal 0 binary64) p))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
Calls

3 calls:

10.0ms
q
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
45.6%2(pow.f64 q #s(literal 2 binary64))
45.6%2(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
45.6%2q
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes7.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

7 calls:

1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
1.0ms
q
1.0ms
r
1.0ms
p
1.0ms
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
34.8%1r
34.8%1(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
34.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
34.8%1p
34.8%1q
34.8%1(pow.f64 q #s(literal 2 binary64))
34.8%1(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
Compiler

Compiled 51 to 54 computations (-5.9% saved)

bsearch144.0ms (1.6%)

Memory
-8.5MiB live, 86.7MiB allocated; 3ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
71.0ms
2.2191734056338928e+83
1.317752892111548e+84
65.0ms
3.730849745008047e-68
1.677860748169773e-59
Samples
57.0ms69×0valid
44.0ms56×2valid
24.0ms115×1valid
Compiler

Compiled 1 600 to 1 125 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
adjust: 10.0ms (26.2% of total)
ival-pow2: 8.0ms (20.9% of total)
ival-mult: 5.0ms (13.1% of total)
ival-sub: 4.0ms (10.5% of total)
ival-add: 4.0ms (10.5% of total)
ival-sqrt: 3.0ms (7.9% of total)
ival-div: 2.0ms (5.2% of total)
ival-fabs: 2.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch148.0ms (1.6%)

Memory
18.4MiB live, 112.5MiB allocated; 3ms collecting garbage
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
69.0ms
2.0039858980765045e+82
2.2191734056338928e+83
30.0ms
1.8104189119158764e+23
1.201405998481172e+26
40.0ms
3.6845387500491086e-17
1.7030924235958824e-15
Samples
62.0ms119×0valid
45.0ms159×1valid
17.0ms58×2valid
Compiler

Compiled 1 656 to 1 256 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-mult: 56.0ms (50% of total)
adjust: 24.0ms (21.4% of total)
ival-pow2: 10.0ms (8.9% of total)
ival-add: 6.0ms (5.4% of total)
ival-sub: 5.0ms (4.5% of total)
ival-sqrt: 4.0ms (3.6% of total)
ival-fabs: 3.0ms (2.7% of total)
ival-div: 2.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.0039858980765045e+82
2.2191734056338928e+83
1.0ms
1.8104189119158764e+23
1.201405998481172e+26
1.0ms
3.6845387500491086e-17
1.7030924235958824e-15
Compiler

Compiled 1 404 to 1 088 computations (22.5% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.6845387500491086e-17
1.7030924235958824e-15
Compiler

Compiled 550 to 416 computations (24.4% saved)

bsearch53.0ms (0.6%)

Memory
-11.1MiB live, 35.9MiB allocated; 2ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
50.0ms
3.6845387500491086e-17
1.7030924235958824e-15
Samples
37.0ms54×1valid
7.0ms23×2valid
2.0ms19×0valid
Compiler

Compiled 606 to 430 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
adjust: 30.0ms (71.3% of total)
ival-pow2: 3.0ms (7.1% of total)
ival-sub: 2.0ms (4.8% of total)
ival-add: 2.0ms (4.8% of total)
ival-mult: 2.0ms (4.8% of total)
ival-div: 1.0ms (2.4% of total)
ival-sqrt: 1.0ms (2.4% of total)
ival-fabs: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch74.0ms (0.8%)

Memory
17.0MiB live, 67.2MiB allocated; 3ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
29.0ms
3.3973252698450736e-56
7.827886634975861e-54
39.0ms
7.936209111095208e-290
1.2039304572216291e-289
Samples
35.0ms74×1valid
22.0ms78×2valid
2.0ms24×0valid
Compiler

Compiled 969 to 685 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-add: 24.0ms (45.7% of total)
adjust: 10.0ms (19% of total)
ival-pow2: 6.0ms (11.4% of total)
ival-mult: 4.0ms (7.6% of total)
ival-sub: 3.0ms (5.7% of total)
ival-sqrt: 3.0ms (5.7% of total)
ival-fabs: 2.0ms (3.8% of total)
ival-div: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Memory
-46.3MiB live, 1.0MiB allocated; 1ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.6167275956511605e-111
2.4510323668013483e-106
Compiler

Compiled 25 to 25 computations (0% saved)

simplify77.0ms (0.8%)

Memory
24.2MiB live, 71.4MiB allocated; 2ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0136758
1255731
2593726
31581697
44372669
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 q #s(literal 7463162001623895/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64)))) (if (<=.f64 q #s(literal 549999999999999956283784775941951761272854676247869389219918641665488836619199840256 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) 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 5577662641004209/10141204801825835211973625643008 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64)))) (if (<=.f64 q #s(literal 46999999999999997600858112 binary64)) #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 20499999999999999755338329552391973282612176493428889107741203801661261348855611392 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) r) (*.f64 #s(literal -2 binary64) (fma.f64 q (/.f64 q r) (neg.f64 p)))))) #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 5577662641004209/10141204801825835211973625643008 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64)))) (if (<=.f64 q #s(literal 46999999999999997600858112 binary64)) #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 20499999999999999755338329552391973282612176493428889107741203801661261348855611392 binary64)) #s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (fma.f64 (*.f64 p #s(literal 2 binary64)) #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)))))) (neg.f64 q)))))
(if (<=.f64 q #s(literal 5577662641004209/10141204801825835211973625643008 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.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)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 7098843361278085/40564819207303340847894502572032 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (fabs.f64 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 4213343284833553/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) #s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64))) (if (<=.f64 q #s(literal 7729955908405431/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) #s(approx (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (*.f64 #s(literal 0 binary64) p)))) #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 3384606560206073/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) #s(approx (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (*.f64 #s(literal 0 binary64) 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 q #s(literal 7463162001623895/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64)))) (if (<=.f64 q #s(literal 549999999999999956283784775941951761272854676247869389219918641665488836619199840256 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) 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 7463162001623895/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (-.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64)))) (if (<=.f64 q #s(literal 549999999999999956283784775941951761272854676247869389219918641665488836619199840256 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (+ (* (/ -2 r) (/ (* q q) r)) (- (/ (+ (+ (fabs r) p) (fabs p)) r) 1)) r) (/.f64 (fma.f64 (+.f64 (+.f64 p (-.f64 (fabs.f64 r) r)) (fabs.f64 p)) r (*.f64 #s(literal -2 binary64) (*.f64 q q))) 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 5577662641004209/10141204801825835211973625643008 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64)))) (if (<=.f64 q #s(literal 46999999999999997600858112 binary64)) #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 20499999999999999755338329552391973282612176493428889107741203801661261348855611392 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) r) (*.f64 #s(literal -2 binary64) (fma.f64 q (/.f64 q r) (neg.f64 p)))))) #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 5577662641004209/10141204801825835211973625643008 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (-.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64)))) (if (or (<=.f64 q #s(literal 46999999999999997600858112 binary64)) (not (<=.f64 q #s(literal 20499999999999999755338329552391973282612176493428889107741203801661261348855611392 binary64)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) #s(approx (* (- (/ (+ (* 2 p) r) r) (- 1 (* (/ (* -2 q) r) (/ q r)))) r) (*.f64 #s(literal -2 binary64) (fma.f64 q (/.f64 q r) p)))))))
(if (<=.f64 q #s(literal 5577662641004209/10141204801825835211973625643008 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64)))) (if (<=.f64 q #s(literal 46999999999999997600858112 binary64)) #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 20499999999999999755338329552391973282612176493428889107741203801661261348855611392 binary64)) #s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (fma.f64 (*.f64 p #s(literal 2 binary64)) #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)))))) (neg.f64 q)))))
(if (<=.f64 q #s(literal 5577662641004209/10141204801825835211973625643008 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (-.f64 (fabs.f64 p) p)) #s(literal -1/2 binary64)))) (if (or (<=.f64 q #s(literal 46999999999999997600858112 binary64)) (not (<=.f64 q #s(literal 20499999999999999755338329552391973282612176493428889107741203801661261348855611392 binary64)))) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q)) #s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (fma.f64 (*.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 q) q) r)))))
(if (<=.f64 q #s(literal 5577662641004209/10141204801825835211973625643008 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (+.f64 (fabs.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)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 5577662641004209/10141204801825835211973625643008 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 (-.f64 (-.f64 r (fabs.f64 r)) (-.f64 (fabs.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)))))) (neg.f64 q)))
(if (<=.f64 q #s(literal 7098843361278085/40564819207303340847894502572032 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) (*.f64 #s(literal -1/2 binary64) (-.f64 r #s(approx (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)) (fabs.f64 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 4213343284833553/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) #s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64))) (if (<=.f64 q #s(literal 7729955908405431/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) #s(approx (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (*.f64 #s(literal 0 binary64) p)))) #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 4213343284833553/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) #s(approx (* (/ 1 2) (+ (* (sqrt p) (sqrt p)) (- r (sqrt (+ (* (* q q) 4) (pow (- p r) 2)))))) (*.f64 (*.f64 p #s(literal 2 binary64)) #s(literal 1/2 binary64))) (if (<=.f64 q #s(literal 7729955908405431/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) #s(approx (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) #s(literal 0 binary64)))) #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 3384606560206073/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) #s(approx (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) (*.f64 #s(literal 0 binary64) p)))) #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 3384606560206073/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) #s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (- (* (/ (+ (+ (fabs r) p) (fabs p)) r) 1/2) 1/2) r) #s(approx (* -1/2 (- r (+ (* (sqrt (neg p)) (sqrt (neg p))) (+ (fabs r) p)))) #s(literal 0 binary64)))) #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))

derivations993.0ms (11%)

Memory
-1.3MiB live, 1 241.2MiB allocated; 68ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05972859
118592649
265522630
081082489
06203242
120443049
278823021
081812821
071553
0107553
1447539
23689529
08334508
06153014
119102853
266652837
081442698
01867
03167
111467
278063
0882759
050300
078276
1321273
22403260
08804248
010016671
132176343
085395993
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 814 to 140 computations (82.8% saved)

preprocess66.0ms (0.7%)

Memory
4.2MiB live, 144.0MiB allocated; 11ms collecting garbage
Compiler

Compiled 2 020 to 480 computations (76.2% saved)

end0.0ms (0%)

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

Profiling

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