Octave 3.8, jcobi/1

Time bar (total: 8.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%56.2%43.8%0%0%0%0
0%0%56.2%43.8%0%0%0%1
50%28.1%28.1%43.8%0%0%0%2
75%42.1%14%43.8%0%0%0%3
87.5%49.2%7%43.8%0%0%0%4
93.8%52.7%3.5%43.8%0%0%0%5
96.9%54.4%1.8%43.8%0%0%0%6
98.4%55.3%0.9%43.8%0%0%0%7
99.2%55.7%0.4%43.8%0%0%0%8
99.6%56%0.2%43.8%0%0%0%9
99.8%56.1%0.1%43.8%0%0%0%10
99.9%56.1%0.1%43.8%0%0%0%11
100%56.1%0%43.8%0%0%0%12
Compiler

Compiled 21 to 15 computations (28.6% saved)

sample1.6s (18%)

Memory
53.4MiB live, 2 105.1MiB allocated
Samples
591.0ms6 099×0valid
271.0ms741×2valid
252.0ms1 416×1valid
Precisions
Click to see histograms. Total time spent on operations: 774.0ms
ival-add: 334.0ms (43.1% of total)
ival-div: 155.0ms (20% of total)
ival-sub: 108.0ms (13.9% of total)
adjust: 92.0ms (11.9% of total)
ival->: 53.0ms (6.8% of total)
exact: 16.0ms (2.1% of total)
ival-and: 13.0ms (1.7% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain158.0ms (1.8%)

Memory
-27.5MiB live, 325.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
560-0-(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
00-0-beta
00-0-(+.f64 alpha beta)
00-0-#s(literal 1 binary64)
00-0-(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
00-0-alpha
00-0-(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
00-0-(-.f64 beta alpha)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))cancellation560
Confusion
Predicted +Predicted -
+560
-0200
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5600
-00200
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0200
156
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms404×0valid
15.0ms72×1valid
8.0ms36×2valid
Compiler

Compiled 161 to 44 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-add: 14.0ms (45.1% of total)
ival-div: 9.0ms (29% of total)
adjust: 4.0ms (12.9% of total)
ival-sub: 4.0ms (12.9% of total)
exact: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess378.0ms (4.3%)

Memory
-1.7MiB live, 128.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02671
17367
216767
344065
4115365
5276165
6538365
7622465
8649165
9660765
10663365
11663365
12668165
13678065
14678065
15678065
16688465
17790465
01013
01613
12813
24513
37313
413313
529213
657213
794413
8160713
9284113
10306313
11315013
12320413
13320613
14320613
15320613
0320612
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64))
Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify110.0ms (1.3%)

Memory
34.3MiB live, 67.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 beta alpha)
cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff512
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01048
01648
12848
24548
37348
413348
529248
657248
794448
8160748
9284148
10306348
11315048
12320448
13320648
14320648
15320648
0320647
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(-.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)
#s(literal 2 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
#s(literal 2 binary64)
#s(literal 1 binary64)

localize82.0ms (0.9%)

Memory
-3.6MiB live, 73.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy0
(+.f64 alpha beta)
accuracy0.025722509768442016
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy12.777529423941388
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Samples
25.0ms18×2valid
17.0ms202×0valid
5.0ms36×1valid
Compiler

Compiled 98 to 22 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
adjust: 23.0ms (65.9% of total)
ival-add: 5.0ms (14.3% of total)
ival-div: 4.0ms (11.5% of total)
ival-sub: 2.0ms (5.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
6.9MiB live, 42.1MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())
#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) (taylor 0 beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) (taylor 0 beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) (taylor 0 beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ alpha (+ 2 alpha))) (taylor 0 beta) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) (taylor 0 beta) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) (taylor 0 beta) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) (taylor 0 beta) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ alpha (+ 2 alpha))) (taylor 0 beta) (#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) (taylor 0 beta) (#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) (taylor 0 beta) (#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) (taylor 0 beta) (#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 alpha) (taylor 0 beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (- beta alpha) (taylor 0 beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (- beta alpha) (taylor 0 beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (- beta alpha) (taylor 0 beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt alpha (taylor 0 beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (+ alpha beta) (taylor 0 beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (+ alpha beta) (taylor 0 beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (+ alpha beta) (taylor 0 beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (+ 2 alpha) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) (taylor inf beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) (taylor inf beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) (taylor inf beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor inf beta) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) (taylor inf beta) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) (taylor inf beta) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) (taylor inf beta) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf beta) (#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) (taylor inf beta) (#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) (taylor inf beta) (#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* alpha (+ 1 (/ beta alpha))) (taylor inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1 (/ beta alpha))) (taylor inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1 (/ beta alpha))) (taylor inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt alpha (taylor inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) (taylor inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) (taylor inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) (taylor inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (taylor -inf alpha) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) (taylor -inf alpha) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) (taylor -inf alpha) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) (taylor -inf alpha) (#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf alpha) (#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) (taylor -inf alpha) (#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) (taylor -inf alpha) (#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) (taylor -inf alpha) (#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 alpha) (taylor -inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) (taylor -inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) (taylor -inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) (taylor -inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt alpha (taylor -inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt alpha (taylor -inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
alpha
@0
((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2))
2.0ms
beta
@inf
((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2))
2.0ms
alpha
@inf
((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2))
2.0ms
beta
@0
((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2))
2.0ms
alpha
@-inf
((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2))

simplify223.0ms (2.6%)

Memory
-4.7MiB live, 302.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04332500
113942354
245672155
086512014
Stop Event
iter limit
node limit
Counts
144 → 131
Calls
Call 1
Inputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(* -1 alpha)
(- beta alpha)
(- beta alpha)
(- beta alpha)
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
2
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
Outputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(*.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
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(- 1 (/ alpha (+ 2 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
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(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
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(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
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(* -1 (/ alpha (+ 2 alpha)))
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
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(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(* -1 alpha)
(neg.f64 alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
alpha
(+ alpha beta)
(+.f64 beta alpha)
(+ alpha beta)
(+.f64 beta alpha)
(+ alpha beta)
(+.f64 beta alpha)
(+ 2 alpha)
(+.f64 #s(literal 2 binary64) alpha)
(+ 2 (+ alpha beta))
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(+ 2 (+ alpha beta))
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(+ 2 (+ alpha beta))
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
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(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
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2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(-.f64 (*.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha)) (-.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
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1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
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beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
beta
(* beta (+ 1 (/ alpha beta)))
(fma.f64 (/.f64 alpha beta) beta beta)
(* beta (+ 1 (/ alpha beta)))
(fma.f64 (/.f64 alpha beta) beta beta)
(* beta (+ 1 (/ alpha beta)))
(fma.f64 (/.f64 alpha beta) beta beta)
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)) beta beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)) beta beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)) beta beta)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
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2
#s(literal 2 binary64)
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 2 binary64))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
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(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
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1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
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beta
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 #s(literal -1 binary64) (/.f64 alpha beta)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 #s(literal -1 binary64) (/.f64 alpha beta)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 #s(literal -1 binary64) (/.f64 alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta)
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta)
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta)
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64)))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
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(+ 1 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
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(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(fma.f64 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))
(/ beta (+ 2 beta))
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
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(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
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beta
(+ beta (* -1 alpha))
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beta
(+ alpha beta)
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(+ alpha beta)
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(+ 2 beta)
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(+ 2 (+ alpha beta))
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
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(/ (+ 2 (* 2 beta)) alpha)
(/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) beta (*.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha))))) alpha)
-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (/.f64 beta alpha) (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1 binary64)))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(-.f64 (fma.f64 (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) alpha))
(* -1 alpha)
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(* alpha (- (/ beta alpha) 1))
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(* alpha (- (/ beta alpha) 1))
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(* alpha (- (/ beta alpha) 1))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
alpha
(* alpha (+ 1 (/ beta alpha)))
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(* alpha (+ 1 (/ beta alpha)))
(fma.f64 (/.f64 beta alpha) alpha alpha)
(* alpha (+ 1 (/ beta alpha)))
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alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) alpha alpha)
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64))
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(/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) beta)) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha))
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-1
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(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) beta)) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha))
(* -1 alpha)
(neg.f64 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 (/.f64 beta alpha) alpha alpha)
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 (/.f64 beta alpha) alpha alpha)
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 (/.f64 beta alpha) alpha alpha)
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)

rewrite219.0ms (2.5%)

Memory
-13.4MiB live, 241.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
01644
19144
274844
0905743
Stop Event
iter limit
node limit
iter limit
Counts
6 → 458
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(-.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
Outputs
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eval117.0ms (1.3%)

Memory
-5.4MiB live, 194.3MiB allocated
Compiler

Compiled 16 188 to 2 370 computations (85.4% saved)

prune31.0ms (0.4%)

Memory
20.0MiB live, 98.7MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New57217589
Fresh000
Picked101
Done000
Total57317590
Accuracy
100.0%
Counts
590 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.0%
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
49.0%
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
60.2%
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
80.0%
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
49.9%
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) #s(literal 2 binary64))
49.9%
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
80.0%
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
68.7%
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
80.0%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
49.9%
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))))
33.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
78.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
20.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
22.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
23.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
52.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
40.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 1 046 to 454 computations (56.6% saved)

simplify160.0ms (1.8%)

Memory
-3.6MiB live, 148.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
cost-diff512
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff17280
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64))
cost-diff0
(fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))
cost-diff0
(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff512
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff2688
(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64))
cost-diff0
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
cost-diff0
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff384
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
cost-diff0
(-.f64 alpha beta)
cost-diff0
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
cost-diff0
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039382
070326
1134326
2232326
3538324
41591286
56133286
08718286
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 alpha beta)
alpha
beta
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 alpha beta)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
alpha
#s(literal -2 binary64)
beta
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64))
(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))
alpha
(+.f64 alpha beta)
beta
(*.f64 beta beta)
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))
(-.f64 beta alpha)
#s(literal 1 binary64)
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64))
(-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
(pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
#s(literal 1 binary64)
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
Outputs
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
(-.f64 alpha beta)
alpha
beta
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
#s(literal -2 binary64)
(+.f64 alpha beta)
(+.f64 beta alpha)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta)))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))
alpha
#s(literal -2 binary64)
beta
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (fma.f64 (+.f64 beta alpha) alpha (*.f64 beta beta)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
(fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))
(fma.f64 (+.f64 beta alpha) alpha (*.f64 beta beta))
alpha
(+.f64 alpha beta)
(+.f64 beta alpha)
beta
(*.f64 beta beta)
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(-.f64 (+.f64 beta alpha) #s(literal -2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) alpha (*.f64 beta beta)))
(-.f64 beta alpha)
#s(literal 1 binary64)
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64))
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal -1 binary64))
(-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
(-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 2 binary64)))
(pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(pow.f64 (/.f64 beta (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 beta (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(-.f64 (+.f64 beta alpha) #s(literal -2 binary64))
#s(literal 2 binary64)
(+.f64 alpha beta)
(+.f64 beta alpha)
alpha
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(pow.f64 (/.f64 alpha (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 alpha (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 alpha (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
#s(literal 1 binary64)
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(-.f64 (/.f64 alpha (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))

localize185.0ms (2.1%)

Memory
-11.8MiB live, 288.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.04296875
(pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
accuracy0.049160009768442016
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
accuracy0.05078125
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
accuracy12.785991330236326
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64))
accuracy0
(*.f64 beta beta)
accuracy12.909068860674612
(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64))
accuracy17.69842527483927
(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy24.906384472229586
(/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))
accuracy0
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
accuracy0.00390625
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy0.00390625
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
accuracy42.855286782310884
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy38.09455532148583
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy0
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
accuracy0
(+.f64 alpha beta)
accuracy0.025722509768442016
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
accuracy12.776189253646132
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Samples
67.0ms19×2valid
56.0ms202×0valid
23.0ms35×1valid
Compiler

Compiled 744 to 76 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
adjust: 37.0ms (36% of total)
ival-div: 22.0ms (21.4% of total)
ival-add: 17.0ms (16.6% of total)
ival-mult: 13.0ms (12.7% of total)
ival-sub: 7.0ms (6.8% of total)
ival-pow2: 6.0ms (5.8% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series148.0ms (1.7%)

Memory
16.1MiB live, 202.6MiB allocated
Counts
22 → 504
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (patch (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #<representation binary64>) () ())
#s(alt (-.f64 alpha beta) (patch (-.f64 alpha beta) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (patch (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (patch (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #<representation binary64>) () ())
#s(alt (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (patch (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (patch (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #<representation binary64>) () ())
#s(alt (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (patch (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) (patch (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #<representation binary64>) () ())
#s(alt (*.f64 beta beta) (patch (*.f64 beta beta) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))))))))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ alpha (+ 2 alpha))) (taylor 0 beta) (#s(alt (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (patch (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (taylor 0 beta) (#s(alt (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (patch (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (taylor 0 beta) (#s(alt (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (patch (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (taylor 0 beta) (#s(alt (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (patch (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #<representation binary64>) () ())) ())
#s(alt alpha (taylor 0 beta) (#s(alt (-.f64 alpha beta) (patch (-.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (+ alpha (* -1 beta)) (taylor 0 beta) (#s(alt (-.f64 alpha beta) (patch (-.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (+ alpha (* -1 beta)) (taylor 0 beta) (#s(alt (-.f64 alpha beta) (patch (-.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (+ alpha (* -1 beta)) (taylor 0 beta) (#s(alt (-.f64 alpha beta) (patch (-.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 2 alpha)) (taylor 0 beta) (#s(alt (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (patch (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 beta) (+ 2 alpha)) (taylor 0 beta) (#s(alt (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (patch (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 beta) (+ 2 alpha)) (taylor 0 beta) (#s(alt (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (patch (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 beta) (+ 2 alpha)) (taylor 0 beta) (#s(alt (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (patch (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) (taylor 0 beta) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) (taylor 0 beta) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) (taylor 0 beta) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (* -2 alpha) 2) beta)) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
53.0ms
beta
@0
((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) (/ (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) 2) (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (+ (* alpha (+ alpha beta)) (* beta beta)) (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (pow (/ beta (+ 2 (+ alpha beta))) 2) (+ alpha beta) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (* beta beta) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2))
17.0ms
alpha
@inf
((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) (/ (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) 2) (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (+ (* alpha (+ alpha beta)) (* beta beta)) (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (pow (/ beta (+ 2 (+ alpha beta))) 2) (+ alpha beta) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (* beta beta) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2))
15.0ms
alpha
@-inf
((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) (/ (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) 2) (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (+ (* alpha (+ alpha beta)) (* beta beta)) (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (pow (/ beta (+ 2 (+ alpha beta))) 2) (+ alpha beta) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (* beta beta) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2))
13.0ms
beta
@-inf
((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) (/ (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) 2) (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (+ (* alpha (+ alpha beta)) (* beta beta)) (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (pow (/ beta (+ 2 (+ alpha beta))) 2) (+ alpha beta) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (* beta beta) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2))
10.0ms
alpha
@0
((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) (/ (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) 2) (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (+ (* alpha (+ alpha beta)) (* beta beta)) (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (pow (/ beta (+ 2 (+ alpha beta))) 2) (+ alpha beta) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (* beta beta) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2))

simplify353.0ms (4.1%)

Memory
-12.3MiB live, 392.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0205918395
1706618392
0846517253
Stop Event
iter limit
node limit
Counts
504 → 491
Calls
Call 1
Inputs
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
alpha
(+ alpha (* -1 beta))
(+ alpha (* -1 beta))
(+ alpha (* -1 beta))
(* -1 (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(* 1/2 (/ (- (* -2 alpha) 2) beta))
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(/ (pow alpha 2) (+ 2 alpha))
(+ (* beta (- (/ alpha (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
(+ (* beta (- (+ (* beta (- (+ (/ 1 (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ alpha (pow (+ 2 alpha) 3)) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (+ (/ 1 (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
(pow alpha 2)
(+ (* alpha beta) (pow alpha 2))
(+ (* beta (+ alpha beta)) (pow alpha 2))
(+ (* beta (+ alpha beta)) (pow alpha 2))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (- (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (- (+ (* beta (+ (* -1 (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (* alpha (+ 2 alpha))) (+ (/ alpha (pow (+ 2 alpha) 3)) (+ (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2)) (/ (* (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha)))))))) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3)))) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (- (+ (* beta (+ (* -1 (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (* beta (- (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2))) (+ (* -1 (/ (* (+ (* -1 (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ alpha (pow (+ 2 alpha) 3)) (+ (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2)) (/ (* (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha)))))) (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha)))) (* alpha (+ 2 alpha)))) (+ (/ 1 (* alpha (pow (+ 2 alpha) 2))) (/ (* (+ (* -1 (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (+ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha)))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (+ (* 4 (/ 1 (* alpha (pow (+ 2 alpha) 3)))) (/ 1 (* (pow alpha 2) (+ 2 alpha))))))) (+ (/ 1 (* alpha (+ 2 alpha))) (+ (/ alpha (pow (+ 2 alpha) 3)) (+ (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2)) (/ (* (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha))))))))) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3)))) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (- (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (+ (* -1 (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (* alpha (+ 2 alpha))) (+ (/ alpha (pow (+ 2 alpha) 3)) (+ (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2)) (/ (* (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha))))))))) (* 1/2 (- (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (- (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (- (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2))) (+ (* -1 (/ (* (+ (* -1 (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ alpha (pow (+ 2 alpha) 3)) (+ (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2)) (/ (* (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha)))))) (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha)))) (* alpha (+ 2 alpha)))) (+ (/ 1 (* alpha (pow (+ 2 alpha) 2))) (/ (* (+ (* -1 (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (+ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha)))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (+ (* 4 (/ 1 (* alpha (pow (+ 2 alpha) 3)))) (/ 1 (* (pow alpha 2) (+ 2 alpha)))))))) (* 1/2 (+ (* -1 (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (* alpha (+ 2 alpha))) (+ (/ alpha (pow (+ 2 alpha) 3)) (+ (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2)) (/ (* (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha)))))))))))))
(* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(- (/ (* (pow alpha 2) (* beta (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 4)) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(- (* beta (+ (* beta (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(- (* beta (+ (* beta (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (+ (* beta (- (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))) (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(/ (pow beta 2) (pow (+ 2 alpha) 2))
(* (pow beta 2) (+ (* -1 (* beta (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2))))
(* (pow beta 2) (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))) (/ 1 (pow (+ 2 alpha) 4))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2))))
(* (pow beta 2) (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))) (/ 1 (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))) (* -1 (/ (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))) (/ 1 (pow (+ 2 alpha) 4))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2))))
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
(/ -1 alpha)
(- (* 2 (/ beta (pow alpha 2))) (/ 1 alpha))
(- (* beta (+ (* -1 (/ beta (pow alpha 3))) (* 2 (/ 1 (pow alpha 2))))) (/ 1 alpha))
(- (* beta (+ (* beta (- (* -1 (/ beta (pow alpha 4))) (/ 1 (pow alpha 3)))) (* 2 (/ 1 (pow alpha 2))))) (/ 1 alpha))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(/ (+ 2 alpha) alpha)
(+ 1 (+ (* -1 (/ (* beta (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (pow alpha 2))) (* 2 (/ 1 alpha))))
(+ 1 (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow alpha 2))) (* -1 (/ (* (pow (+ 2 alpha) 3) (pow (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2)) (pow alpha 3)))))) (/ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow alpha 2)))) (* 2 (/ 1 alpha))))
(+ 1 (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 2 alpha) (* (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow alpha 2))) (* -1 (/ (* (pow (+ 2 alpha) 3) (pow (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2)) (pow alpha 3)))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) alpha)) (+ (/ (* (pow (+ 2 alpha) 2) (- (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))) (pow alpha 2)) (/ (* (pow (+ 2 alpha) 3) (* (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (pow alpha 3)))))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow alpha 2))) (* -1 (/ (* (pow (+ 2 alpha) 3) (pow (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2)) (pow alpha 3)))))) (/ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow alpha 2)))) (* 2 (/ 1 alpha))))
(/ (pow alpha 2) (pow (+ 2 alpha) 2))
(+ (* -1 (/ (* (pow alpha 2) (* beta (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 4))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))) (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)))))) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
1
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(* -1 beta)
(* beta (- (/ alpha beta) 1))
(* beta (- (/ alpha beta) 1))
(* beta (- (/ alpha beta) 1))
(* -1 beta)
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
beta
(* beta (- 1 (* 2 (/ 1 beta))))
(* beta (- (+ 1 (/ (pow alpha 2) (pow beta 2))) (+ (* -2 (/ (+ 2 alpha) (pow beta 2))) (* 2 (/ 1 beta)))))
(* beta (- (+ 1 (+ (* -1 (/ (* (+ 2 alpha) (- (pow alpha 2) (* -2 (+ 2 alpha)))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2)))) (+ (* -2 (/ (+ 2 alpha) (pow beta 2))) (* 2 (/ 1 beta)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (/ alpha beta)))
(* (pow beta 2) (+ 1 (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (* -1 (/ (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))
(- (+ 2 (/ (* (pow alpha 2) (+ 2 (* 2 alpha))) (pow beta 3))) (+ (* -2 (/ (+ 4 (* 2 alpha)) (pow beta 2))) (+ (* -2 (/ (pow (+ 2 alpha) 2) (pow beta 3))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))))) (pow beta 3))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (pow (+ 2 alpha) 2)))) (pow beta 3))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* -1/2 (/ (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* -1/2 (/ (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))))) (pow beta 2))) (* 1/2 (/ (- (* (pow alpha 2) (+ 2 (* 2 alpha))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)))))) (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)))))))) (pow beta 3))))))
1
(+ 1 (* -1 (/ (+ 4 (* 2 alpha)) beta)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))
(- (+ 1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 3))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))) (pow beta 3))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))) (pow beta 3))) (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))))
1
(+ 1 (* -1 (/ (+ 4 (* 2 alpha)) beta)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)))) (* -1 (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(/ 1 beta)
(/ (- (+ 1 (* -1 (/ alpha beta))) (/ alpha beta)) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* alpha (- (* -1 alpha) alpha)) (pow alpha 2)) (pow beta 2))))) (/ alpha beta)) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* -1 (* alpha (+ (* alpha (- (* -1 alpha) alpha)) (pow alpha 2)))) (* (pow alpha 2) (- (* -1 alpha) alpha))) (pow beta 3))))) (+ (/ alpha beta) (+ (/ (* alpha (- (* -1 alpha) alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))))) beta)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
1
(+ 1 (* 2 (/ 1 beta)))
(- (+ 1 (+ (* 2 (/ 1 beta)) (/ 4 (pow beta 2)))) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -2 (- 4 (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))) (pow beta 3))) (+ (* 2 (/ 1 beta)) (/ 4 (pow beta 2))))) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2))))
(/ (pow alpha 2) (pow beta 2))
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2))
1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
1
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
(* -1 beta)
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 beta)
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
1
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
(/ (- (* -2 alpha) 2) beta)
2
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
beta
(* -1 (* beta (- (* 2 (/ 1 beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow alpha 2)) (* 2 (+ 2 alpha))) beta)) 2) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (- (* -1 (pow alpha 2)) (* 2 (+ 2 alpha)))) beta)) (* -1 (pow alpha 2))) (* 2 (+ 2 alpha))) beta)) 2) beta)) 1)))
(pow beta 2)
(* (pow beta 2) (+ 1 (/ alpha beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
2
(+ 2 (+ (* -2 (/ (+ 2 alpha) beta)) (+ (* -1 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))) beta)) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha))))) beta)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* alpha (pow (+ 2 alpha) 2)) (* (pow alpha 2) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))))) (+ (* -2 (* (+ 2 alpha) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* -1 (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (* 2 (pow (+ 2 alpha) 2))) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (* 2 (pow (+ 2 alpha) 2)))))) (+ (* (pow (+ 2 alpha) 2) (+ 2 (+ alpha (* -1 alpha)))) (pow (+ 2 alpha) 3)))))) beta)) (* alpha (+ 2 alpha))) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))) beta)) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha))))) beta)))
1
(+ 1 (* 1/2 (/ (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha))))) (* -1/2 (/ (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* alpha (pow (+ 2 alpha) 2)) (* (pow alpha 2) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))))) (+ (* -2 (* (+ 2 alpha) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* -1 (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (* 2 (pow (+ 2 alpha) 2))) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (* 2 (pow (+ 2 alpha) 2)))))) (+ (* (pow (+ 2 alpha) 2) (+ 2 (+ alpha (* -1 alpha)))) (pow (+ 2 alpha) 3)))))) beta)) (* 1/2 (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))))) beta)) (* -1/2 (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))))) beta)))
1
(+ 1 (* -2 (/ (+ 2 alpha) beta)))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ 2 alpha) 2) beta)) (+ (/ (pow alpha 2) beta) (/ (pow (+ 2 alpha) 2) beta))) (* -2 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (* (pow alpha 2) (+ 2 alpha))) (+ (* 2 (* (+ 2 alpha) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (* 2 (pow (+ 2 alpha) 3)))) beta)) (+ (* -4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (+ 2 alpha))) beta)))
1
(+ 1 (* -2 (/ (+ 2 alpha) beta)))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ 2 alpha) 2) beta)) (/ (pow (+ 2 alpha) 2) beta)) (* -2 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 2 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* -2 (+ 2 alpha))) beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(/ 1 beta)
(* -1 (/ (- (/ alpha beta) (+ 1 (* -1 (/ alpha beta)))) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (pow alpha 2)) beta))) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (+ (* -1 (/ (+ (* alpha (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (pow alpha 2))) (* (pow alpha 2) (- alpha (* -1 alpha)))) beta)) (pow alpha 2))) beta))) beta)) 1) beta))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
1
(+ 1 (+ (* -1 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* alpha (+ 2 alpha)) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2))) beta)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* alpha (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -1 alpha))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (* -1 alpha))) (- (* alpha (+ 2 alpha)) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 3)))) beta)) (* alpha (+ 2 alpha))) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2))) beta)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(/ (pow alpha 2) (pow beta 2))
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(* -1 beta)
(- alpha beta)
(- alpha beta)
(- alpha beta)
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(- 1 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(/ -2 beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
-2
(- (* -2 alpha) 2)
(- (* -2 alpha) 2)
(- (* -2 alpha) 2)
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(/ (pow beta 2) (+ 2 beta))
(+ (* alpha (- (/ beta (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(+ (* alpha (- (+ (* alpha (- (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ beta (pow (+ 2 beta) 3)) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(pow beta 2)
(+ (* alpha beta) (pow beta 2))
(+ (* alpha (+ alpha beta)) (pow beta 2))
(+ (* alpha (+ alpha beta)) (pow beta 2))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* alpha (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* alpha (- (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 4 (/ 1 (* beta (pow (+ 2 beta) 3)))) (/ 1 (* (pow beta 2) (+ 2 beta))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta)))) (* beta (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (/ (* (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 1/2 (* alpha (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (* 1/2 (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* alpha (+ (* -1/2 (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))))) (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 4 (/ 1 (* beta (pow (+ 2 beta) 3)))) (/ 1 (* (pow beta 2) (+ 2 beta))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta)))) (* beta (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (/ (* (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))))))))
(/ (pow beta 2) (pow (+ 2 beta) 2))
(+ (* -1 (/ (* alpha (* (pow beta 2) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 4))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
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(/ (pow beta 2) (pow (+ 2 beta) 2))
(+ (* -1 (/ (* alpha (* (pow beta 2) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 4))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
(/ 1 beta)
(+ (* -2 (/ alpha (pow beta 2))) (/ 1 beta))
(+ (* alpha (- (/ alpha (pow beta 3)) (* 2 (/ 1 (pow beta 2))))) (/ 1 beta))
(+ (* alpha (- (* alpha (+ (/ 1 (pow beta 3)) (/ alpha (pow beta 4)))) (* 2 (/ 1 (pow beta 2))))) (/ 1 beta))
(/ (+ 2 beta) beta)
(+ 1 (+ (* -1 (/ (* alpha (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (pow beta 2))) (* 2 (/ 1 beta))))
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(+ 1 (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 beta) (* (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow beta 2))) (* -1 (/ (* (pow (+ 2 beta) 3) (pow (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2)) (pow beta 3)))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) beta)) (+ (/ (* (pow (+ 2 beta) 2) (- (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))) (pow beta 2)) (/ (* (pow (+ 2 beta) 3) (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (pow beta 3)))))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow beta 2))) (* -1 (/ (* (pow (+ 2 beta) 3) (pow (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2)) (pow beta 3)))))) (/ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow beta 2)))) (* 2 (/ 1 beta))))
(/ (pow alpha 2) (pow (+ 2 beta) 2))
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
(* alpha (+ 1 (* -1 (/ beta alpha))))
(* alpha (+ 1 (* -1 (/ beta alpha))))
(* -1 alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -2 (/ alpha beta))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(* -2 alpha)
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
alpha
(* alpha (- 1 (* 2 (/ 1 alpha))))
(* alpha (- (+ 1 (/ (pow beta 2) (pow alpha 2))) (+ (* -2 (/ (+ 2 beta) (pow alpha 2))) (* 2 (/ 1 alpha)))))
(* alpha (- (+ 1 (+ (* -1 (/ (* (+ 2 beta) (- (pow beta 2) (* -2 (+ 2 beta)))) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2)))) (+ (* -2 (/ (+ 2 beta) (pow alpha 2))) (* 2 (/ 1 alpha)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (/ beta alpha)))
(* (pow alpha 2) (+ 1 (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (+ 2 (+ (* -2 (/ (+ 4 (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha))))))) alpha)
(/ (- (+ 2 (+ (* -2 (/ (+ 4 (* 2 beta)) alpha)) (+ (* -2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 2))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2))) (+ (* -1 (/ (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))))))))) (/ (* (pow beta 2) (+ 2 (* 2 beta))) (pow alpha 2))) alpha)
(/ (- (+ 2 (+ (* -2 (/ (+ 4 (* 2 beta)) alpha)) (+ (* -2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))) (* -1 (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)))))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))) (* -1 (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (pow alpha 3))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2))) (+ (* -1 (/ (* (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 3))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 3))) (+ (* -1 (/ (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))))))))))))))) (+ (* -1 (/ (* (pow beta 2) (pow (+ 2 (* 2 beta)) 2)) (pow alpha 3))) (+ (/ (* (pow beta 2) (+ 2 (* 2 beta))) (pow alpha 2)) (/ (* (pow beta 2) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 3))))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) alpha)) (* 1/2 (/ (- (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))) (* -1 (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))))))) (* (pow beta 2) (+ 2 (* 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) alpha)) (+ (* 1/2 (/ (- (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))) (* -1 (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))))))) (* (pow beta 2) (+ 2 (* 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))) (* -1 (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))))))))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))) (* -1 (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))))))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)))) (+ (* -1 (* (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))) (* -1 (+ (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))))))))) (+ (* -1 (* (pow beta 2) (pow (+ 2 (* 2 beta)) 2))) (* (pow beta 2) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2)))))) (pow alpha 3)))))) alpha)
-1
(- (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))) 1)
(- (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) 1)
(- (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 3))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))))) (+ 1 (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow alpha 3))))
(/ (pow beta 2) (pow alpha 2))
(/ (+ (* -1 (/ (* (pow beta 2) (+ 4 (* 2 beta))) alpha)) (pow beta 2)) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2))) (* (pow beta 2) (pow (+ 2 beta) 2))) (pow alpha 2))) (pow beta 2)) (/ (* (pow beta 2) (+ 4 (* 2 beta))) alpha)) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2))) (* (pow beta 2) (pow (+ 2 beta) 2))))) (* -1 (* (pow beta 2) (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))))) (pow alpha 3))) (pow beta 2)) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (+ (/ (* (pow beta 2) (+ 4 (* 2 beta))) alpha) (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 2))))) (pow alpha 2))
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(/ -1 alpha)
(/ (- (/ beta alpha) (+ 1 (* -1 (/ beta alpha)))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (pow beta 2)) (* beta (- beta (* -1 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ beta alpha)))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (* beta (+ (* -1 (pow beta 2)) (* beta (- beta (* -1 beta)))))) (* (pow beta 2) (- beta (* -1 beta)))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (/ (* beta (- beta (* -1 beta))) (pow alpha 2)))))) alpha)
1
(+ 1 (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 2 (/ 1 alpha)) (/ 4 (pow alpha 2)))) (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (pow alpha 2))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -2 (- 4 (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))))) (* -1 (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))))) (pow alpha 3))) (+ (* 2 (/ 1 alpha)) (/ 4 (pow alpha 2))))) (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (pow alpha 2))))
1
(+ 1 (* -1 (/ (+ 4 (* 2 beta)) alpha)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1)
alpha
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 alpha)
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ alpha beta))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -2 (/ alpha beta))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))
(* -2 alpha)
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
alpha
(* -1 (* alpha (- (* 2 (/ 1 alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow beta 2)) (* 2 (+ 2 beta))) alpha)) 2) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 beta) (- (* -1 (pow beta 2)) (* 2 (+ 2 beta)))) alpha)) (* -1 (pow beta 2))) (* 2 (+ 2 beta))) alpha)) 2) alpha)) 1)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (/ beta alpha)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(* -1 (/ (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) alpha))
(* -1 (/ (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (+ (* -1 beta) (* -1 (/ (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow beta 2)))) (* beta (+ 2 beta))) alpha)))))) alpha))
(* -1 (/ (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (+ (* -1 beta) (* -1 (/ (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (/ (- (+ (* -2 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (+ (* -1 (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (* 2 (pow (+ 2 beta) 2))) (* beta (+ 2 beta))))) (+ (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (* beta (+ 2 beta)) (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (* 2 (pow (+ 2 beta) 2)))))) (+ (* (pow (+ 2 beta) 2) (+ 2 (+ beta (* -1 beta)))) (pow (+ 2 beta) 3))))) (+ (* beta (pow (+ 2 beta) 2)) (* (pow beta 2) (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta))))))) alpha)) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow beta 2))))) (* beta (+ 2 beta))) alpha)))))) alpha))
(* -1 (/ (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (+ (* -1 beta) (* -1 (/ (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (/ (- (+ (* -2 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (+ (* -1 (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (* 2 (pow (+ 2 beta) 2))) (* beta (+ 2 beta))))) (+ (* -1 (/ (- (+ (* -2 (* (+ 2 beta) (- (pow (+ 2 beta) 3) (* beta (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (+ (* -2 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (+ (* (pow (+ 2 beta) 2) (+ 2 (+ beta (* -1 beta)))) (pow (+ 2 beta) 3))) (* beta (pow (+ 2 beta) 2))))) (+ (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (* beta (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (+ (* -1 (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (* 2 (pow (+ 2 beta) 2))) (* beta (+ 2 beta))))) (+ (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (* beta (+ 2 beta)) (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (* 2 (pow (+ 2 beta) 2)))))) (+ (* (pow (+ 2 beta) 2) (+ 2 (+ beta (* -1 beta)))) (pow (+ 2 beta) 3))))))) (+ (* (- (* beta (+ 2 beta)) (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (* 2 (pow (+ 2 beta) 2))))) (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (* 2 (pow (+ 2 beta) 2))) (* beta (+ 2 beta)))) (+ (* (pow (+ 2 beta) 2) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta)))) (pow (+ 2 beta) 4)))))) (+ (* -1 (* (pow beta 2) (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2))) (+ (* beta (pow (+ 2 beta) 3)) (* (pow beta 2) (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (* 2 (pow (+ 2 beta) 2))) (* beta (+ 2 beta))))))) alpha)) (+ (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (* beta (+ 2 beta)) (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (* 2 (pow (+ 2 beta) 2)))))) (+ (* (pow (+ 2 beta) 2) (+ 2 (+ beta (* -1 beta)))) (pow (+ 2 beta) 3)))))) (+ (* beta (pow (+ 2 beta) 2)) (* (pow beta 2) (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta))))))) alpha)) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow beta 2))))) (* beta (+ 2 beta))) alpha)))))) alpha))
(* -1/2 (/ (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow beta 2)))) (* beta (+ 2 beta))) alpha)) (* 1/2 (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -2 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (+ (* -1 (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (* 2 (pow (+ 2 beta) 2))) (* beta (+ 2 beta))))) (+ (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (* beta (+ 2 beta)) (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (* 2 (pow (+ 2 beta) 2)))))) (+ (* (pow (+ 2 beta) 2) (+ 2 (+ beta (* -1 beta)))) (pow (+ 2 beta) 3))))) (+ (* beta (pow (+ 2 beta) 2)) (* (pow beta 2) (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta))))))) alpha)) (* 1/2 (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow beta 2)))) (* beta (+ 2 beta))))) alpha)) (* 1/2 (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -2 (* (+ 2 beta) (- (pow (+ 2 beta) 3) (* beta (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (+ (* -2 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (+ (* (pow (+ 2 beta) 2) (+ 2 (+ beta (* -1 beta)))) (pow (+ 2 beta) 3))) (* beta (pow (+ 2 beta) 2))))) (+ (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (* beta (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (+ (* -1 (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (* 2 (pow (+ 2 beta) 2))) (* beta (+ 2 beta))))) (+ (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (* beta (+ 2 beta)) (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (* 2 (pow (+ 2 beta) 2)))))) (+ (* (pow (+ 2 beta) 2) (+ 2 (+ beta (* -1 beta)))) (pow (+ 2 beta) 3))))))) (+ (* (- (* beta (+ 2 beta)) (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (* 2 (pow (+ 2 beta) 2))))) (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (* 2 (pow (+ 2 beta) 2))) (* beta (+ 2 beta)))) (+ (* (pow (+ 2 beta) 2) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta)))) (pow (+ 2 beta) 4)))))) (+ (* -1 (* (pow beta 2) (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2))) (+ (* beta (pow (+ 2 beta) 3)) (* (pow beta 2) (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (* 2 (pow (+ 2 beta) 2))) (* beta (+ 2 beta))))))) alpha)) (* 1/2 (- (+ (* -2 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (+ (* -1 (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (* 2 (pow (+ 2 beta) 2))) (* beta (+ 2 beta))))) (+ (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (* beta (+ 2 beta)) (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (* 2 (pow (+ 2 beta) 2)))))) (+ (* (pow (+ 2 beta) 2) (+ 2 (+ beta (* -1 beta)))) (pow (+ 2 beta) 3))))) (+ (* beta (pow (+ 2 beta) 2)) (* (pow beta 2) (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta))))))))) alpha)) (* 1/2 (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow beta 2)))) (* beta (+ 2 beta))))) alpha)) (* 1/2 (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))))) alpha))
-1
(- (* 2 (/ (+ 2 beta) alpha)) 1)
(- (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))) alpha))) alpha)) 1)
(- (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -1 (/ (- (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3))) (* -2 (* (pow beta 2) (+ 2 beta)))) alpha)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha))) alpha)) 1)
(/ (pow beta 2) (pow alpha 2))
(/ (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) alpha)) (pow beta 2)) (pow alpha 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow beta 2) (pow (+ 2 beta) 2)) alpha)) (/ (* (pow beta 2) (pow (+ 2 beta) 2)) alpha)) (* -2 (* (pow beta 2) (+ 2 beta)))) alpha)) (pow beta 2)) (pow alpha 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -4 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (* 2 (/ (* (pow beta 2) (pow (+ 2 beta) 3)) alpha))) (+ (* -4 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (* -2 (* (pow beta 2) (+ 2 beta)))) alpha)) (pow beta 2)) (pow alpha 2))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(/ -1 alpha)
(* -1 (/ (+ 1 (* -1 (/ (- beta (* -1 beta)) alpha))) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (+ (* -1 (/ (* beta (- beta (* -1 beta))) alpha)) (/ (pow beta 2) alpha))) (* -1 beta)) alpha))) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (/ (* beta (+ (* -1 (* beta (- beta (* -1 beta)))) (pow beta 2))) alpha) (/ (* (pow beta 2) (- beta (* -1 beta))) alpha)) (+ (* -1 (* beta (- beta (* -1 beta)))) (pow beta 2))) alpha))) (* -1 beta)) alpha))) alpha))
1
(+ 1 (+ (* -1 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* beta (+ 2 beta)) (+ (* -1 (pow (+ 2 (+ beta (* -1 beta))) 2)) (pow (+ 2 beta) 2))) alpha)) (+ 2 (+ beta (* -1 beta)))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 (+ beta (* -1 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (+ (* (+ 2 (+ beta (* -1 beta))) (- (* beta (+ 2 beta)) (+ (* -1 (pow (+ 2 (+ beta (* -1 beta))) 2)) (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 3)))) alpha)) (* beta (+ 2 beta))) (+ (* -1 (pow (+ 2 (+ beta (* -1 beta))) 2)) (pow (+ 2 beta) 2))) alpha)) (+ 2 (+ beta (* -1 beta)))) alpha)))
1
(+ 1 (* -2 (/ (+ 2 beta) alpha)))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 2) alpha)) (* -2 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (* 2 (/ (pow (+ 2 beta) 3) alpha))) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (* -2 (+ 2 beta))) alpha)))
Outputs
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))))
(+.f64 (fma.f64 (fma.f64 (*.f64 beta (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) beta (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))))
(+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64))) beta (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) beta (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(* -1 (/ alpha (+ 2 alpha)))
(/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 beta (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (neg.f64 (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 2 binary64) alpha)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)))
alpha
(+ alpha (* -1 beta))
(-.f64 alpha beta)
(+ alpha (* -1 beta))
(-.f64 alpha beta)
(+ alpha (* -1 beta))
(-.f64 alpha beta)
(* -1 (+ 2 alpha))
(neg.f64 (+.f64 #s(literal 2 binary64) alpha))
(- (* -1 beta) (+ 2 alpha))
(-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) alpha)
(- (* -1 beta) (+ 2 alpha))
(-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) alpha)
(- (* -1 beta) (+ 2 alpha))
(-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) alpha)
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
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(- (* beta (+ (* beta (- (* -1 (/ beta (pow alpha 4))) (/ 1 (pow alpha 3)))) (* 2 (/ 1 (pow alpha 2))))) (/ 1 alpha))
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beta
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beta
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(fma.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) alpha (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) alpha))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(fma.f64 (neg.f64 alpha) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(fma.f64 (fma.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(* -1 beta)
(neg.f64 beta)
(- alpha beta)
(-.f64 alpha beta)
(- alpha beta)
(-.f64 alpha beta)
(- alpha beta)
(-.f64 alpha beta)
(* -1 (+ 2 beta))
(+.f64 #s(literal -2 binary64) (neg.f64 beta))
(- (* -1 alpha) (+ 2 beta))
(-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) beta)
(- (* -1 alpha) (+ 2 beta))
(-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) beta)
(- (* -1 alpha) (+ 2 beta))
(-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) beta)
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/ -2 beta)
(/.f64 #s(literal -2 binary64) beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)
-2
#s(literal -2 binary64)
(- (* -2 alpha) 2)
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))
(- (* -2 alpha) 2)
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))
(- (* -2 alpha) 2)
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))
(+ 1 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))))) alpha (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))))) alpha (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/ (pow beta 2) (+ 2 beta))
(/.f64 (*.f64 beta beta) (+.f64 beta #s(literal 2 binary64)))
(+ (* alpha (- (/ beta (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(fma.f64 (-.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha (/.f64 (*.f64 beta beta) (+.f64 beta #s(literal 2 binary64))))
(+ (* alpha (- (+ (* alpha (- (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))))) alpha (/.f64 (*.f64 beta beta) (+.f64 beta #s(literal 2 binary64))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ beta (pow (+ 2 beta) 3)) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))))) alpha (-.f64 (+.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))))) alpha (-.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))))) alpha (/.f64 (*.f64 beta beta) (+.f64 beta #s(literal 2 binary64))))
(pow beta 2)
(*.f64 beta beta)
(+ (* alpha beta) (pow beta 2))
(*.f64 (+.f64 beta alpha) beta)
(+ (* alpha (+ alpha beta)) (pow beta 2))
(fma.f64 (+.f64 beta alpha) alpha (*.f64 beta beta))
(+ (* alpha (+ alpha beta)) (pow beta 2))
(fma.f64 (+.f64 beta alpha) alpha (*.f64 beta beta))
(+ 1 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 beta (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))))) alpha (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta))))
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
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(/ (pow beta 2) (pow (+ 2 beta) 2))
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beta
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(/ 1 beta)
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(/ (+ 2 beta) beta)
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
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(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
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(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
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-1
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alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
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(* alpha (+ 1 (* -1 (/ beta alpha))))
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(* alpha (+ 1 (* -1 (/ beta alpha))))
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(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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(* -1 (/ alpha beta))
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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alpha
(* alpha (- 1 (* 2 (/ 1 alpha))))
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(* -1/2 (/ (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) alpha))
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(fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64))) alpha) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (* 2 (/ (pow (+ 2 beta) 3) alpha))) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (* -2 (+ 2 beta))) alpha)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) alpha) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) alpha)) (neg.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))))) alpha) #s(literal -1 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64))) alpha) #s(literal -1 binary64) #s(literal 1 binary64))

rewrite217.0ms (2.5%)

Memory
-8.1MiB live, 219.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039316
070296
1375224
23700220
09680220
Stop Event
iter limit
node limit
iter limit
Counts
22 → 754
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 alpha beta)
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
(pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(+.f64 alpha beta)
(/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))
(*.f64 beta beta)
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
Outputs
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eval429.0ms (4.9%)

Memory
51.3MiB live, 477.8MiB allocated
Compiler

Compiled 63 582 to 6 068 computations (90.5% saved)

prune90.0ms (1%)

Memory
-8.6MiB live, 117.7MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1 600131 613
Fresh8412
Picked415
Done000
Total1 612181 630
Accuracy
100.0%
Counts
1 630 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.8%
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
36.2%
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
80.0%
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
79.8%
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
78.2%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
3.6%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
37.8%
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
60.2%
(/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
49.9%
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
80.0%
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
36.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
22.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
23.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
33.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
33.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
40.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
52.2%
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
21.1%
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (neg.f64 (/.f64 (fma.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (*.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha)) #s(literal 1/2 binary64))) alpha))) alpha))) alpha)))
Compiler

Compiled 834 to 424 computations (49.2% saved)

simplify135.0ms (1.6%)

Memory
8.9MiB live, 122.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))
cost-diff0
(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff0
(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
cost-diff0
(-.f64 alpha beta)
cost-diff0
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
cost-diff0
(+.f64 beta #s(literal 2 binary64))
cost-diff0
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
cost-diff0
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
cost-diff0
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64))
cost-diff0
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
cost-diff512
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
cost-diff12288
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045433
077470
1146470
2272470
3578386
41434360
54612360
08080358
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
#s(literal 1 binary64)
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
beta
(+.f64 beta #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(-.f64 alpha beta)
alpha
beta
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
#s(literal 1/2 binary64)
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
#s(literal -2 binary64)
(+.f64 beta alpha)
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64))
(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))
alpha
(+.f64 alpha beta)
beta
(*.f64 beta beta)
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
#s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha))
(/.f64 #s(literal -1 binary64) alpha)
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(-.f64 (+.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
beta
(+.f64 beta #s(literal 2 binary64))
(-.f64 beta #s(literal -2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64))
(-.f64 alpha beta)
alpha
beta
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(literal 1/2 binary64)
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 beta alpha)
(+.f64 alpha beta)
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) #s(literal 1 binary64))
(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))
(fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))
alpha
(+.f64 alpha beta)
beta
(*.f64 beta beta)
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha))
(/.f64 #s(literal -1 binary64) alpha)
#s(literal -1 binary64)
#s(literal 1 binary64)

localize263.0ms (3%)

Memory
-49.4MiB live, 162.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 beta beta)
accuracy12.909068860674612
(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64))
accuracy17.69842527483927
(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy34.476695664845366
#s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha))
accuracy0
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
accuracy0
(+.f64 beta alpha)
accuracy0.02734375
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
accuracy12.9119406605154
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
accuracy0
(+.f64 beta #s(literal 2 binary64))
accuracy0.0078125
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
accuracy12.776189253646132
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy28.74970670852335
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
accuracy12.776189253646132
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy48.80066924192431
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64))
accuracy0.02734375
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
accuracy0.03515625
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
accuracy0.049160009768442016
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
accuracy12.76425142018152
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
Samples
74.0ms202×0valid
47.0ms19×2valid
20.0ms35×1valid
Compiler

Compiled 780 to 78 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-div: 33.0ms (28.3% of total)
ival-mult: 33.0ms (28.3% of total)
adjust: 24.0ms (20.6% of total)
ival-add: 15.0ms (12.9% of total)
ival-sub: 7.0ms (6% of total)
ival-pow2: 3.0ms (2.6% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series65.0ms (0.7%)

Memory
20.8MiB live, 57.5MiB allocated
Counts
22 → 492
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (patch (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) (patch #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (patch #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (patch (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 beta #s(literal 2 binary64)) (patch (+.f64 beta #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 alpha beta) (patch (-.f64 alpha beta) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (patch (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (patch (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (patch (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #<representation binary64>) () ())
#s(alt (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (patch (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 beta alpha) (patch (+.f64 beta alpha) #<representation binary64>) () ())
#s(alt #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) (patch #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #<representation binary64>) () ())
#s(alt (*.f64 beta beta) (patch (*.f64 beta beta) #<representation binary64>) () ())
Outputs
#s(alt (/ (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (+ 1 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (patch (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* beta (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))) (/ 1 (+ 1 (/ alpha (+ 2 alpha))))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (taylor 0 beta) (#s(alt (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (patch (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* beta (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (+ (* beta (- (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 6)))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (* -1 (/ (* (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (+ (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))) (/ (* (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (/ alpha (+ 2 alpha)))))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))) (/ 1 (+ 1 (/ alpha (+ 2 alpha))))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (taylor 0 beta) (#s(alt (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (patch (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* beta (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (+ (* beta (- (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 6)))) (+ (* beta (- (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 6))))) (+ (* -1 (/ (* (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))) (+ 1 (/ alpha (+ 2 alpha))))) (+ (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)) (/ (* (- (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 6)))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (* -1 (/ (* (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (+ (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))) (/ (* (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (/ alpha (+ 2 alpha))))))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (/ alpha (+ 2 alpha)))))))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))))) (+ (* -1 (/ (* (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (+ (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))) (/ (* (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (/ alpha (+ 2 alpha)))))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))) (/ 1 (+ 1 (/ alpha (+ 2 alpha))))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (taylor 0 beta) (#s(alt (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (patch (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
9.0ms
beta
@inf
((/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (/ (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ beta (+ beta 2)) (+ beta 2) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ beta alpha)))) 1/2) (- alpha beta) (/ 1/2 (- -2 (+ beta alpha))) (- -2 (+ beta alpha)) (/ (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) 2) (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (+ (* alpha (+ alpha beta)) (* beta beta)) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (+ beta alpha) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (* beta beta))
6.0ms
beta
@0
((/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (/ (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ beta (+ beta 2)) (+ beta 2) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ beta alpha)))) 1/2) (- alpha beta) (/ 1/2 (- -2 (+ beta alpha))) (- -2 (+ beta alpha)) (/ (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) 2) (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (+ (* alpha (+ alpha beta)) (* beta beta)) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (+ beta alpha) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (* beta beta))
6.0ms
alpha
@inf
((/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (/ (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ beta (+ beta 2)) (+ beta 2) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ beta alpha)))) 1/2) (- alpha beta) (/ 1/2 (- -2 (+ beta alpha))) (- -2 (+ beta alpha)) (/ (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) 2) (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (+ (* alpha (+ alpha beta)) (* beta beta)) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (+ beta alpha) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (* beta beta))
5.0ms
alpha
@-inf
((/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (/ (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ beta (+ beta 2)) (+ beta 2) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ beta alpha)))) 1/2) (- alpha beta) (/ 1/2 (- -2 (+ beta alpha))) (- -2 (+ beta alpha)) (/ (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) 2) (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (+ (* alpha (+ alpha beta)) (* beta beta)) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (+ beta alpha) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (* beta beta))
5.0ms
alpha
@0
((/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (/ (/ (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (- (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ beta (+ beta 2)) (+ beta 2) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ beta alpha)))) 1/2) (- alpha beta) (/ 1/2 (- -2 (+ beta alpha))) (- -2 (+ beta alpha)) (/ (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) 2) (+ (* (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta)))) 1) (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (+ (* alpha (+ alpha beta)) (* beta beta)) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (+ beta alpha) (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (* beta beta))

simplify374.0ms (4.3%)

Memory
-4.7MiB live, 303.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0192217480
1638417010
0815316189
Stop Event
iter limit
node limit
Counts
492 → 477
Calls
Call 1
Inputs
(/ (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (+ 1 (/ alpha (+ 2 alpha))))
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1
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(* -1 (/ alpha (+ 2 alpha)))
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(* -1 (/ alpha (+ 2 alpha)))
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(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
2
(+ 2 beta)
(+ 2 beta)
(+ 2 beta)
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
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alpha
(+ alpha (* -1 beta))
(+ alpha (* -1 beta))
(+ alpha (* -1 beta))
(/ -1/2 (+ 2 alpha))
(- (* 1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha))))
(- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(- (* beta (+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(* -1 (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
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(pow alpha 2)
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alpha
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(pow beta 2)
(pow beta 2)
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(pow beta 2)
2
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1
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4
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4
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1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
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1
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
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1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
1
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
1
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
(* -1 beta)
(* beta (- (/ alpha beta) 1))
(* beta (- (/ alpha beta) 1))
(* beta (- (/ alpha beta) 1))
(/ -1/2 beta)
(/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta)
(/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta)))) beta)
(/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) beta)
(* -1 beta)
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
beta
(* beta (- 1 (* 2 (/ 1 beta))))
(* beta (- (+ 1 (/ (pow alpha 2) (pow beta 2))) (+ (* -2 (/ (+ 2 alpha) (pow beta 2))) (* 2 (/ 1 beta)))))
(* beta (- (+ 1 (+ (* -1 (/ (* (+ 2 alpha) (- (pow alpha 2) (* -2 (+ 2 alpha)))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2)))) (+ (* -2 (/ (+ 2 alpha) (pow beta 2))) (* 2 (/ 1 beta)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (/ alpha beta)))
(* (pow beta 2) (+ 1 (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))
(/ (pow alpha 2) (pow beta 2))
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2))
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(/ 1 beta)
(/ (- (+ 1 (* -1 (/ alpha beta))) (/ alpha beta)) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* alpha (- (* -1 alpha) alpha)) (pow alpha 2)) (pow beta 2))))) (/ alpha beta)) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* -1 (* alpha (+ (* alpha (- (* -1 alpha) alpha)) (pow alpha 2)))) (* (pow alpha 2) (- (* -1 alpha) alpha))) (pow beta 3))))) (+ (/ alpha beta) (+ (/ (* alpha (- (* -1 alpha) alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))))) beta)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
2
(+ 2 (* -1 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha)))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
1
(+ 1 (* -1/2 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (* 1/2 (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
4
(+ 4 (* -4 (/ (+ 2 alpha) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -6 (/ (pow (+ 2 alpha) 3) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 4 (+ 2 alpha))) beta)))
4
(+ 4 (* -4 (/ (+ 2 alpha) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2)) beta)) (* 4 (+ 2 alpha))) beta)))
(+ 4 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3))) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (pow alpha 2)) beta)) (* 4 (+ 2 alpha))) beta)))
1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
1
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
1
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
1
(- 1 (* 2 (/ 1 beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(* -1 beta)
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(/ -1/2 beta)
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) beta)) (* -1/2 (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 3) beta)) (* -1/2 (pow (+ 2 alpha) 2))) beta)) (* -1/2 (+ 2 alpha))) beta))) beta))
(* -1 beta)
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
2
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
beta
(* -1 (* beta (- (* 2 (/ 1 beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow alpha 2)) (* 2 (+ 2 alpha))) beta)) 2) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (- (* -1 (pow alpha 2)) (* 2 (+ 2 alpha)))) beta)) (* -1 (pow alpha 2))) (* 2 (+ 2 alpha))) beta)) 2) beta)) 1)))
(pow beta 2)
(* (pow beta 2) (+ 1 (/ alpha beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(/ (pow alpha 2) (pow beta 2))
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(/ 1 beta)
(* -1 (/ (- (/ alpha beta) (+ 1 (* -1 (/ alpha beta)))) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (pow alpha 2)) beta))) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (* -1 alpha))) (* -1 (/ (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (+ (* -1 (/ (+ (* alpha (+ (* -1 (* alpha (- alpha (* -1 alpha)))) (pow alpha 2))) (* (pow alpha 2) (- alpha (* -1 alpha)))) beta)) (pow alpha 2))) beta))) beta)) 1) beta))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ beta (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* 2 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4))))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (/ beta (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* 2 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 4)))))) (+ (* -1 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta))))))))) (* 1/2 (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))) (/ (* (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))))))))
(pow (+ 1 (/ beta (+ 2 beta))) 2)
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ beta (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))))) (/ (pow beta 2) (pow (+ 2 beta) 4))))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(pow (+ 1 (/ beta (+ 2 beta))) 2)
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ beta (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(* -1 beta)
(- alpha beta)
(- alpha beta)
(- alpha beta)
(/ -1/2 (+ 2 beta))
(- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ (pow beta 2) (+ 2 beta))
(+ (* alpha (- (/ beta (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(+ (* alpha (- (+ (* alpha (- (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ beta (pow (+ 2 beta) 3)) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(pow beta 2)
(+ (* alpha beta) (pow beta 2))
(+ (* alpha (+ alpha beta)) (pow beta 2))
(+ (* alpha (+ alpha beta)) (pow beta 2))
(/ (pow alpha 2) (pow (+ 2 beta) 2))
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2))))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
(/ 1 beta)
(+ (* -2 (/ alpha (pow beta 2))) (/ 1 beta))
(+ (* alpha (- (/ alpha (pow beta 3)) (* 2 (/ 1 (pow beta 2))))) (/ 1 beta))
(+ (* alpha (- (* alpha (+ (/ 1 (pow beta 3)) (/ alpha (pow beta 4)))) (* 2 (/ 1 (pow beta 2))))) (/ 1 beta))
(* 1/2 (/ (+ 4 (* 4 beta)) alpha))
(/ (- (+ (* 1/2 (+ 4 (* 4 beta))) (* 1/2 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha))) (* -1/2 (/ (+ 4 (* 4 beta)) alpha))) alpha)
(/ (- (+ (* 1/2 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (/ (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2)))))) (pow alpha 2))))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) (pow alpha 2))) (+ (* -1/2 (/ (+ 4 (* 4 beta)) alpha)) (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2)))))) alpha)
(/ (- (+ (* 1/2 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ (* 1/2 (/ (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2)))))) (pow alpha 3))) (* 1/2 (/ (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2)))))) (pow alpha 2)))))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) (pow alpha 2))) (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))))) (pow alpha 3))) (+ (* -1/2 (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (pow alpha 3))) (+ (* -1/2 (/ (+ 4 (* 4 beta)) alpha)) (+ (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (pow alpha 3))) (* -1/4 (/ (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2))))))))) alpha)
(* 1/4 (/ (+ 4 (* 4 beta)) alpha))
(/ (+ (* 1/4 (+ 4 (* 4 beta))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) alpha))) alpha)
(/ (+ (* 1/4 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) alpha)) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))))) (pow alpha 2))))) alpha)
(/ (+ (* 1/4 (+ 4 (* 4 beta))) (+ (* 1/2 (/ (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))) alpha)) (+ (* 1/2 (/ (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))))))) (+ (* -1/2 (* (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta)))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))))))) (pow alpha 3))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* 2 (* beta (pow (+ 2 beta) 2))))))) (+ (* -1 (- (* 1/2 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* -1/2 (+ 4 (* 4 beta))))) (* -1/4 (* (+ 4 (* 4 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))))) (pow alpha 2)))))) alpha)
1
(+ 1 (* 2 (/ beta alpha)))
(+ 1 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(+ 1 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 3))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2)))))))
(/ (+ 4 (* 4 beta)) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 4 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (* 4 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))))))) alpha)
(/ (+ 4 (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -2 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (* 2 (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 3))) (+ (* 4 beta) (+ (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 3)) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha))))))))))))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
(* alpha (+ 1 (* -1 (/ beta alpha))))
(* alpha (+ 1 (* -1 (/ beta alpha))))
(/ -1/2 alpha)
(/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha)
(/ (- (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha)))) alpha)
(/ (- (* 1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 beta) alpha)) (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) alpha)
(* -1 alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
alpha
(* alpha (- 1 (* 2 (/ 1 alpha))))
(* alpha (- (+ 1 (/ (pow beta 2) (pow alpha 2))) (+ (* -2 (/ (+ 2 beta) (pow alpha 2))) (* 2 (/ 1 alpha)))))
(* alpha (- (+ 1 (+ (* -1 (/ (* (+ 2 beta) (- (pow beta 2) (* -2 (+ 2 beta)))) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2)))) (+ (* -2 (/ (+ 2 beta) (pow alpha 2))) (* 2 (/ 1 alpha)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (/ beta alpha)))
(* (pow alpha 2) (+ 1 (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))
1
(+ 1 (* -1 (/ (+ 4 (* 2 beta)) alpha)))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(/ -1 alpha)
(/ (- (/ beta alpha) (+ 1 (* -1 (/ beta alpha)))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (pow beta 2)) (* beta (- beta (* -1 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ beta alpha)))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (* beta (+ (* -1 (pow beta 2)) (* beta (- beta (* -1 beta)))))) (* (pow beta 2) (- beta (* -1 beta)))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (/ (* beta (- beta (* -1 beta))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) alpha)) (* 1/2 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))) alpha)) (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) alpha)) (* 1/2 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (+ 2 beta) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3))))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2))))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 3) (* beta (pow (+ 2 beta) 2))))) (+ (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))))) (* 1/2 (* (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta)))))))) alpha)) (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3))))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))) alpha)) (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) alpha)) (* 1/2 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1/4 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) alpha)) (* 1/4 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))) alpha)) (* 1/2 (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* 1/4 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (+ 2 beta) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3))))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2))))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 3) (* beta (pow (+ 2 beta) 2))))) (+ (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))))) (* 1/2 (* (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta)))))))) alpha)) (* 1/2 (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))))) alpha)) (* 1/2 (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* 1/4 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
1
(+ 1 (* 2 (/ beta alpha)))
(+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) alpha))) alpha)))
(+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -2 (* beta (pow (+ 2 beta) 2))) (* 2 (* (pow beta 2) (+ 2 beta)))) alpha)) (pow beta 2))) alpha))) alpha)))
(* -1 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)))) alpha))
(* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3))))) alpha)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) alpha)))) alpha))
(* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* -1 (/ (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (+ 2 beta) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3))))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2)))))) alpha)) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) alpha)) (+ (pow beta 2) (pow (+ 2 beta) 2))))) alpha)))) alpha))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1)
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1)
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
alpha
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 (* alpha (- (/ beta alpha) 1)))
(/ -1/2 alpha)
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 3) alpha)) (* -1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha))
(* -1 alpha)
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
alpha
(* -1 (* alpha (- (* 2 (/ 1 alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow beta 2)) (* 2 (+ 2 beta))) alpha)) 2) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 beta) (- (* -1 (pow beta 2)) (* 2 (+ 2 beta)))) alpha)) (* -1 (pow beta 2))) (* 2 (+ 2 beta))) alpha)) 2) alpha)) 1)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (/ beta alpha)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
1
(+ 1 (* -2 (/ (+ 2 beta) alpha)))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 2) alpha)) (* -2 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (* 2 (/ (pow (+ 2 beta) 3) alpha))) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (* -2 (+ 2 beta))) alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(/ -1 alpha)
(* -1 (/ (+ 1 (* -1 (/ (- beta (* -1 beta)) alpha))) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (+ (* -1 (/ (* beta (- beta (* -1 beta))) alpha)) (/ (pow beta 2) alpha))) (* -1 beta)) alpha))) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (/ (* beta (+ (* -1 (* beta (- beta (* -1 beta)))) (pow beta 2))) alpha) (/ (* (pow beta 2) (- beta (* -1 beta))) alpha)) (+ (* -1 (* beta (- beta (* -1 beta)))) (pow beta 2))) alpha))) (* -1 beta)) alpha))) alpha))
Outputs
(/ (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (+ 1 (/ alpha (+ 2 alpha))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)))
(- (+ (* beta (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))) (/ 1 (+ 1 (/ alpha (+ 2 alpha))))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))))
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(- (+ (* beta (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (+ (* beta (- (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 6)))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (* -1 (/ (* (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (+ (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))) (/ (* (- (+ (* 2 (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (/ alpha (+ 2 alpha)))))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))))) (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))) (/ 1 (+ 1 (/ alpha (+ 2 alpha))))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))))
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(* -1 (/ alpha (+ 2 alpha)))
(/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))
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(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
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(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
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(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
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(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))))
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(* -1 (/ alpha (+ 2 alpha)))
(/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))
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(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* beta (+ 1/2 (* -1/4 beta)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta)
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
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2
#s(literal 2 binary64)
(+ 2 beta)
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(+ 2 beta)
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(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
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(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))))
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(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))))
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alpha
(+ alpha (* -1 beta))
(-.f64 alpha beta)
(+ alpha (* -1 beta))
(-.f64 alpha beta)
(+ alpha (* -1 beta))
(-.f64 alpha beta)
(/ -1/2 (+ 2 alpha))
(/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha))
(- (* 1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha))))
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(- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
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(- (* beta (+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
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(* -1 (+ 2 alpha))
(-.f64 #s(literal -2 binary64) alpha)
(- (* -1 beta) (+ 2 alpha))
(fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) alpha))
(- (* -1 beta) (+ 2 alpha))
(fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) alpha))
(- (* -1 beta) (+ 2 alpha))
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(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
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(- 1 (/ alpha (+ 2 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
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(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
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(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
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(/ (pow alpha 2) (+ 2 alpha))
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(+ (* beta (- (/ alpha (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
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(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ alpha (pow (+ 2 alpha) 3)) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (+ (/ 1 (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
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(pow alpha 2)
(*.f64 alpha alpha)
(+ (* alpha beta) (pow alpha 2))
(*.f64 (+.f64 beta alpha) alpha)
(+ (* beta (+ alpha beta)) (pow alpha 2))
(fma.f64 (+.f64 beta alpha) beta (*.f64 alpha alpha))
(+ (* beta (+ alpha beta)) (pow alpha 2))
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(/ (pow alpha 2) (pow (+ 2 alpha) 2))
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))
(+ (* -1 (/ (* (pow alpha 2) (* beta (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 4))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(-.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 alpha alpha) beta) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(fma.f64 (fma.f64 (neg.f64 beta) (-.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 alpha alpha)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 6 binary64)))) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (*.f64 alpha alpha)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))))) beta (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))) (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)))))) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 beta) (-.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (*.f64 alpha alpha)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 6 binary64)))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 alpha alpha)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 6 binary64)))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 alpha alpha)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 6 binary64)))))) beta (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (*.f64 alpha alpha)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))))) beta (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))
alpha
(+ alpha beta)
(+.f64 beta alpha)
(+ alpha beta)
(+.f64 beta alpha)
(+ alpha beta)
(+.f64 beta alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(- (* 2 (/ beta (pow alpha 2))) (/ 1 alpha))
(-.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(- (* beta (+ (* -1 (/ beta (pow alpha 3))) (* 2 (/ 1 (pow alpha 2))))) (/ 1 alpha))
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 beta (pow.f64 alpha #s(literal 3 binary64)))) beta) (/.f64 #s(literal 1 binary64) alpha))
(- (* beta (+ (* beta (- (* -1 (/ beta (pow alpha 4))) (/ 1 (pow alpha 3)))) (* 2 (/ 1 (pow alpha 2))))) (/ 1 alpha))
(fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 alpha #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))) beta (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) beta (neg.f64 (/.f64 #s(literal 1 binary64) alpha)))
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
2
#s(literal 2 binary64)
(+ 2 (+ (* -2 (/ (+ 2 alpha) beta)) (* 2 (/ 1 beta))))
(+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))
(- (+ 2 (+ (* -2 (/ (+ 2 alpha) beta)) (+ (* 1/2 (/ (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2)) (pow beta 2))) (* 2 (/ 1 beta))))) (+ (* -1 (/ (+ 2 (* -2 (+ 2 alpha))) (pow beta 2))) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2)))))
(-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (*.f64 alpha alpha)) (*.f64 beta beta)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 beta beta)) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta))))
(- (+ 2 (+ (* -2 (/ (+ 2 alpha) beta)) (+ (* 1/2 (/ (+ (* -4 (pow (+ 2 alpha) 3)) (+ (* -2 (pow (+ 2 alpha) 3)) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (pow beta 3))) (+ (* 1/2 (/ (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2)) (pow beta 2))) (* 2 (/ 1 beta)))))) (+ (* -1 (/ (+ 2 (* -2 (+ 2 alpha))) (pow beta 2))) (+ (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2))) (+ (* -1 (/ (- (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (+ (* -1 (+ 2 (* -2 (+ 2 alpha)))) (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (pow beta 3))) (* -1/2 (/ (* (+ 2 (* -2 (+ 2 alpha))) (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (pow beta 3))))))))
(-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal -2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (*.f64 alpha alpha)))) (pow.f64 beta #s(literal 3 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (*.f64 alpha alpha)) (*.f64 beta beta)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) beta)))) #s(literal 2 binary64)) (-.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (*.f64 alpha alpha)) #s(literal 1/2 binary64) (neg.f64 (-.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (pow.f64 beta #s(literal 3 binary64))))) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (*.f64 beta beta))) (/.f64 (fma.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (pow.f64 beta #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)))
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)) (* 1/2 (/ (- (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (+ (* -1 (+ 2 (* -2 (+ 2 alpha)))) (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (pow beta 2)))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (*.f64 alpha alpha)) #s(literal 1/2 binary64) (neg.f64 (-.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 beta beta))) #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (+ 2 (* -2 (+ 2 alpha))) beta)) (+ (* 1/2 (/ (- (* 1/2 (+ (* -4 (pow (+ 2 alpha) 3)) (+ (* -2 (pow (+ 2 alpha) 3)) (* (pow alpha 2) (+ 4 (* 2 alpha)))))) (+ (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* -1 (- (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (+ (* -1 (+ 2 (* -2 (+ 2 alpha)))) (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))))))) (* -1/2 (* (+ 2 (* -2 (+ 2 alpha))) (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))))) (pow beta 3))) (* 1/2 (/ (- (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (+ (* -1 (+ 2 (* -2 (+ 2 alpha)))) (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (pow beta 2))))))
(+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (*.f64 alpha alpha)))) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (*.f64 alpha alpha)) #s(literal 1/2 binary64) (neg.f64 (-.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))))) (fma.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (*.f64 alpha alpha)) #s(literal 1/2 binary64) (neg.f64 (-.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 beta beta)))))
4
#s(literal 4 binary64)
(+ 4 (* -4 (/ (+ 2 alpha) beta)))
(fma.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 4 binary64))
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))
(+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta)) (*.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) #s(literal 4 binary64))
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* -4 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* -2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))
(+.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta)) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (pow.f64 beta #s(literal 3 binary64)))))) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* -4 (/ (+ 2 alpha) beta)))
(fma.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 4 binary64))
(- (+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (/ (pow (+ 2 alpha) 2) (pow beta 2))))) (/ (pow alpha 2) (pow beta 2)))
(-.f64 (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta)) (*.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) #s(literal 4 binary64)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)))
(- (+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* -4 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* -2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* 4 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 3)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))) (/ (pow alpha 2) (pow beta 2)))
(-.f64 (+.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (/.f64 #s(literal 4 binary64) beta) (fma.f64 (*.f64 alpha alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta))))))) #s(literal 4 binary64)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+.f64 (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 1/2 binary64)) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
(+.f64 (fma.f64 (/.f64 (*.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 1/2 binary64)) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (*.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta))
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) (*.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (neg.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+.f64 (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 1/2 binary64)) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
(+.f64 (fma.f64 (/.f64 (*.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 1/2 binary64)) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (*.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta))
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) (*.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (neg.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
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beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) beta)
(* beta (+ 1 (* 2 (/ 1 beta))))
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(* beta (+ 1 (* 2 (/ 1 beta))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
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(* -1 beta)
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(* beta (- (/ alpha beta) 1))
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(/ -1/2 beta)
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(/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta)
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(/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta)))) beta)
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(/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) beta)
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(* -1 beta)
(neg.f64 beta)
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(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
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(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
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(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
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2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
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(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
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beta
(* beta (- 1 (* 2 (/ 1 beta))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta)
(* beta (- (+ 1 (/ (pow alpha 2) (pow beta 2))) (+ (* -2 (/ (+ 2 alpha) (pow beta 2))) (* 2 (/ 1 beta)))))
(*.f64 (-.f64 (fma.f64 (/.f64 alpha beta) (/.f64 alpha beta) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) beta))) beta)
(* beta (- (+ 1 (+ (* -1 (/ (* (+ 2 alpha) (- (pow alpha 2) (* -2 (+ 2 alpha)))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2)))) (+ (* -2 (/ (+ 2 alpha) (pow beta 2))) (* 2 (/ 1 beta)))))
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(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (/ alpha beta)))
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(* (pow beta 2) (+ 1 (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))
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(* (pow beta 2) (+ 1 (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))
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(/ (pow alpha 2) (pow beta 2))
(*.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2))
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(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2))
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beta
(* beta (+ 1 (/ alpha beta)))
(*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
(* beta (+ 1 (/ alpha beta)))
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(* beta (+ 1 (/ alpha beta)))
(*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ (- (+ 1 (* -1 (/ alpha beta))) (/ alpha beta)) beta)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 alpha beta)) beta)
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* alpha (- (* -1 alpha) alpha)) (pow alpha 2)) (pow beta 2))))) (/ alpha beta)) beta)
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(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* -1 (* alpha (+ (* alpha (- (* -1 alpha) alpha)) (pow alpha 2)))) (* (pow alpha 2) (- (* -1 alpha) alpha))) (pow beta 3))))) (+ (/ alpha beta) (+ (/ (* alpha (- (* -1 alpha) alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))))) beta)
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(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
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(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
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(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha)))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))) (+ 2 (+ alpha (* -1 alpha)))) beta)))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64))) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 1/2 (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 6 (pow (+ 2 alpha) 3)))) (* alpha (pow (+ 2 alpha) 2))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)))) beta)) (* 1/2 (- (+ (* 1/2 (- (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow alpha 2))) (* alpha (+ 2 alpha))) (+ (* 1/2 (* (+ 2 (+ alpha (* -1 alpha))) (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) (pow (+ 2 alpha) 2))))) beta)) (* 1/2 (- (* 2 (+ 2 alpha)) (+ 2 (+ alpha (* -1 alpha)))))) beta)))
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4
#s(literal 4 binary64)
(+ 4 (* -4 (/ (+ 2 alpha) beta)))
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4
#s(literal 4 binary64)
(+ 4 (* -4 (/ (+ 2 alpha) beta)))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
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(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta)))
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1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
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(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) beta)) beta)) beta))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) beta)
(* beta (+ 1 (* 2 (/ 1 beta))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) beta)
(* beta (+ 1 (* 2 (/ 1 beta))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) beta)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
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(* -1 beta)
(neg.f64 beta)
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(*.f64 (neg.f64 beta) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
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(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
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(/ -1/2 beta)
(/.f64 #s(literal -1/2 binary64) beta)
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta))
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(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) beta)) (* -1/2 (+ 2 alpha))) beta))) beta))
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(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 3) beta)) (* -1/2 (pow (+ 2 alpha) 2))) beta)) (* -1/2 (+ 2 alpha))) beta))) beta))
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(* -1 beta)
(neg.f64 beta)
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
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(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(*.f64 (neg.f64 beta) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(*.f64 (neg.f64 beta) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal -1/2 binary64))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
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2
#s(literal 2 binary64)
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 (-.f64 #s(literal 2 binary64) (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
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(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
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beta
(* -1 (* beta (- (* 2 (/ 1 beta)) 1)))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)))
(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow alpha 2)) (* 2 (+ 2 alpha))) beta)) 2) beta)) 1)))
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(* -1 (* beta (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (- (* -1 (pow alpha 2)) (* 2 (+ 2 alpha)))) beta)) (* -1 (pow alpha 2))) (* 2 (+ 2 alpha))) beta)) 2) beta)) 1)))
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(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (/ alpha beta)))
(*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) (*.f64 beta beta))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
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(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
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(/ (pow alpha 2) (pow beta 2))
(*.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2))
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beta
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
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(pow (+ 1 (/ beta (+ 2 beta))) 2)
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ beta (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
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(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) alpha (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) beta)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha (pow.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))))) (/ (pow beta 2) (pow (+ 2 beta) 4))))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 beta (/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 5 binary64))))) alpha (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) beta)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha (pow.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow (+ 1 (/ beta (+ 2 beta))) 2)
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ beta (+ 2 beta))))) (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) beta) alpha) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))))) alpha (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) beta)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha (pow.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 beta (/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 5 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) beta)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha (pow.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(fma.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(fma.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) alpha (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) alpha))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(fma.f64 (neg.f64 alpha) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(fma.f64 (fma.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(fma.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(fma.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) alpha (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) alpha))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(fma.f64 (neg.f64 alpha) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(fma.f64 (fma.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(fma.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(fma.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) alpha (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) alpha))
(* -1 beta)
(neg.f64 beta)
(- alpha beta)
(-.f64 alpha beta)
(- alpha beta)
(-.f64 alpha beta)
(- alpha beta)
(-.f64 alpha beta)
(/ -1/2 (+ 2 beta))
(/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64)))
(- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))
(-.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))))
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(-.f64 (*.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))))
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) alpha (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64)))))
(* -1 (+ 2 beta))
(-.f64 #s(literal -2 binary64) beta)
(- (* -1 alpha) (+ 2 beta))
(fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) beta))
(- (* -1 alpha) (+ 2 beta))
(fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) beta))
(- (* -1 alpha) (+ 2 beta))
(fma.f64 #s(literal -1 binary64) alpha (-.f64 #s(literal -2 binary64) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
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(+ 1 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
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(/ (pow beta 2) (+ 2 beta))
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beta
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(/ 1 beta)
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(* 1/2 (/ (+ 4 (* 4 beta)) alpha))
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
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(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) alpha) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) alpha) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 alpha #s(literal 3 binary64))))))) alpha)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal -1 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
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(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 alpha alpha)) #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) alpha) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) alpha) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 alpha #s(literal 3 binary64))))))) alpha)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal -1 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal -1 binary64)))
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
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(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
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alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) alpha)
(* alpha (+ 1 (* -1 (/ beta alpha))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) alpha)
(* alpha (+ 1 (* -1 (/ beta alpha))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) alpha)
(/ -1/2 alpha)
(/.f64 #s(literal -1/2 binary64) alpha)
(/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha)
(/.f64 (fma.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) alpha)
(/ (- (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha)))) alpha)
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64)) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64))) alpha)
(/ (- (* 1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 beta) alpha)) (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) alpha)
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(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64)) alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64)) alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64)) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(*.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha) (/.f64 (-.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 alpha alpha))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) beta)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 alpha alpha))))) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/.f64 (-.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) (*.f64 beta #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) beta) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/.f64 (-.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) (fma.f64 beta #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 alpha alpha)))) (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) beta) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(/.f64 (-.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) (-.f64 (fma.f64 beta #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) (fma.f64 beta (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) beta) alpha)))) alpha)
alpha
(* alpha (- 1 (* 2 (/ 1 alpha))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(* alpha (- (+ 1 (/ (pow beta 2) (pow alpha 2))) (+ (* -2 (/ (+ 2 beta) (pow alpha 2))) (* 2 (/ 1 alpha)))))
(*.f64 (-.f64 (fma.f64 (/.f64 beta alpha) (/.f64 beta alpha) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (/.f64 #s(literal 2 binary64) alpha))) alpha)
(* alpha (- (+ 1 (+ (* -1 (/ (* (+ 2 beta) (- (pow beta 2) (* -2 (+ 2 beta)))) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2)))) (+ (* -2 (/ (+ 2 beta) (pow alpha 2))) (* 2 (/ 1 alpha)))))
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(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (/ beta alpha)))
(*.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (*.f64 alpha alpha))
(* (pow alpha 2) (+ 1 (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))
(*.f64 (+.f64 (fma.f64 (/.f64 beta alpha) (/.f64 beta alpha) (/.f64 beta alpha)) #s(literal 1 binary64)) (*.f64 alpha alpha))
(* (pow alpha 2) (+ 1 (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))
(*.f64 (+.f64 (fma.f64 (/.f64 beta alpha) (/.f64 beta alpha) (/.f64 beta alpha)) #s(literal 1 binary64)) (*.f64 alpha alpha))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 4 (* 2 beta)) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) alpha))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))
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(- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
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alpha
(* alpha (+ 1 (/ beta alpha)))
(*.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
(* alpha (+ 1 (/ beta alpha)))
(*.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
(* alpha (+ 1 (/ beta alpha)))
(*.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(/ (- (/ beta alpha) (+ 1 (* -1 (/ beta alpha)))) alpha)
(/.f64 (-.f64 (/.f64 beta alpha) (-.f64 #s(literal 1 binary64) (/.f64 beta alpha))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (pow beta 2)) (* beta (- beta (* -1 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ beta alpha)))) alpha)
(/.f64 (-.f64 (-.f64 (/.f64 beta alpha) (/.f64 (fma.f64 (-.f64 beta (neg.f64 beta)) beta (neg.f64 (*.f64 beta beta))) (*.f64 alpha alpha))) (-.f64 #s(literal 1 binary64) (/.f64 beta alpha))) alpha)
(/ (- (+ (* -1 (/ (+ (* -1 (* beta (+ (* -1 (pow beta 2)) (* beta (- beta (* -1 beta)))))) (* (pow beta 2) (- beta (* -1 beta)))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (pow beta 2) (pow alpha 2))) (/ (* beta (- beta (* -1 beta))) (pow alpha 2)))))) alpha)
(/.f64 (-.f64 (-.f64 (/.f64 beta alpha) (/.f64 (fma.f64 (-.f64 beta (neg.f64 beta)) (*.f64 beta beta) (*.f64 (neg.f64 beta) (fma.f64 (-.f64 beta (neg.f64 beta)) beta (neg.f64 (*.f64 beta beta))))) (pow.f64 alpha #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (fma.f64 (/.f64 (-.f64 beta (neg.f64 beta)) alpha) (/.f64 beta alpha) (/.f64 (neg.f64 (*.f64 beta beta)) (*.f64 alpha alpha))))) alpha)
(* -1/2 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) alpha) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) alpha)) (* 1/2 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))) alpha)) (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) alpha)) (* 1/2 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 beta beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 0 binary64) beta #s(literal 2 binary64))) (fma.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) beta) #s(literal -2 binary64) (fma.f64 beta beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 #s(literal 0 binary64) beta #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64))))))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) beta))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) beta) #s(literal -2 binary64) (fma.f64 beta beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 #s(literal 0 binary64) beta #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))))))) alpha)) alpha))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (+ 2 beta) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3))))) (+ (* 2 (* (pow beta 2) (pow (+ 2 beta) 2))) (* (pow beta 2) (pow (+ 2 beta) 2))))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 3) (* beta (pow (+ 2 beta) 2))))) (+ (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))))) (* 1/2 (* (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta)))))))) alpha)) (* 1/2 (+ (* -2 (* beta (pow (+ 2 beta) 2))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (pow beta 2) (+ 2 beta))) (* 2 (pow (+ 2 beta) 3))))))) (+ (* 1/4 (* (+ (* -2 beta) (* -2 (+ 2 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (* 1/2 (* (+ 2 (+ beta (* -1 beta))) (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))))))) alpha)) (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) alpha)) (* 1/2 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 beta beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))))) #s(literal 1/2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (neg.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 beta beta)))))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 beta beta) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 0 binary64) beta #s(literal 2 binary64))) (fma.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) beta) #s(literal -2 binary64) (fma.f64 beta beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 #s(literal 0 binary64) beta #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64))))))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) beta))))) (fma.f64 #s(literal 0 binary64) beta #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (fma.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) beta) #s(literal -2 binary64) (fma.f64 beta beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 #s(literal 0 binary64) beta #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))))))))))) alpha)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 0 binary64) beta #s(literal 2 binary64))) (fma.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) beta) #s(literal -2 binary64) (fma.f64 beta beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 #s(literal 0 binary64) beta #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64))))))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) beta))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64) (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) beta) #s(literal -2 binary64) (fma.f64 beta beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 #s(literal 0 binary64) beta #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))))))) alpha)) alpha))
(* -1/4 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) alpha))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) alpha) #s(literal -1/4 binary64))
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* beta (+ 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ 2 (+ beta (* -1 beta))) (+ (* -2 beta) (* -2 (+ 2 beta)))))) alpha)) (* 1/4 (+ (* -2 beta) (* -2 (+ 2 beta))))) alpha))
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(neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64))) alpha)) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64))) alpha)) alpha)) alpha))
-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
(fma.f64 (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (neg.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) alpha) #s(literal -1 binary64) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1)
(fma.f64 (/.f64 (-.f64 (neg.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))) alpha)) alpha) #s(literal -1 binary64) #s(literal -1 binary64))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(*.f64 (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal 1/2 binary64))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(neg.f64 (/.f64 (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64) (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64))) alpha)) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64))) alpha)) alpha)) alpha))
alpha
(* -1 (* alpha (- (/ beta alpha) 1)))
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)))
(* -1 (* alpha (- (/ beta alpha) 1)))
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)))
(* -1 (* alpha (- (/ beta alpha) 1)))
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)))
(/ -1/2 alpha)
(/.f64 #s(literal -1/2 binary64) alpha)
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha))
(neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) (+.f64 beta #s(literal 2 binary64)))) alpha)) alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 3) alpha)) (* -1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) alpha) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64)))) alpha)) alpha))
(* -1 alpha)
(neg.f64 alpha)
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(*.f64 (neg.f64 alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 beta alpha)))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(*.f64 (neg.f64 alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 beta alpha)))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(*.f64 (neg.f64 alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 beta alpha)))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal -1/2 binary64))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) alpha) #s(literal 1/2 binary64) (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64) (*.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1/2 binary64))) alpha))) alpha))) alpha))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (-.f64 (-.f64 (fma.f64 beta (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) beta) #s(literal 2 binary64)) beta) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) (/.f64 (-.f64 (fma.f64 beta (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) alpha)) (fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha)) (+.f64 beta #s(literal 2 binary64))) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 beta (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 beta (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) alpha) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) alpha)) (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) alpha)) (fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha)) (-.f64 #s(literal -2 binary64) beta)) alpha))
alpha
(* -1 (* alpha (- (* 2 (/ 1 alpha)) 1)))
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow beta 2)) (* 2 (+ 2 beta))) alpha)) 2) alpha)) 1)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (*.f64 beta beta)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64))) alpha) #s(literal -1 binary64) #s(literal -2 binary64)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 beta) (- (* -1 (pow beta 2)) (* 2 (+ 2 beta)))) alpha)) (* -1 (pow beta 2))) (* 2 (+ 2 beta))) alpha)) 2) alpha)) 1)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (*.f64 beta beta)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64))) alpha))) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64))) alpha) #s(literal -1 binary64) #s(literal -2 binary64)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (/ beta alpha)))
(*.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (*.f64 alpha alpha))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 beta beta)) alpha) beta) alpha)) (*.f64 alpha alpha))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 beta beta)) alpha) beta) alpha)) (*.f64 alpha alpha))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (+ 2 beta) alpha)))
(fma.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 2) alpha)) (* -2 (+ 2 beta))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64))) alpha))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (* 2 (/ (pow (+ 2 beta) 3) alpha))) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (* -2 (+ 2 beta))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) alpha) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) alpha)) (neg.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))))) alpha) #s(literal -1 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64))) alpha))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal -1 binary64)))
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(* -1 (/ (+ 1 (* -1 (/ (- beta (* -1 beta)) alpha))) alpha))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta (neg.f64 beta)) alpha)) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (+ (* -1 (/ (* beta (- beta (* -1 beta))) alpha)) (/ (pow beta 2) alpha))) (* -1 beta)) alpha))) alpha))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (-.f64 beta (*.f64 beta (/.f64 (-.f64 beta (neg.f64 beta)) alpha))) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 beta)) alpha)) alpha))
(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (/ (* beta (+ (* -1 (* beta (- beta (* -1 beta)))) (pow beta 2))) alpha) (/ (* (pow beta 2) (- beta (* -1 beta))) alpha)) (+ (* -1 (* beta (- beta (* -1 beta)))) (pow beta 2))) alpha))) (* -1 beta)) alpha))) alpha))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 beta (/.f64 (-.f64 (fma.f64 (*.f64 beta beta) (/.f64 (-.f64 beta (neg.f64 beta)) alpha) (/.f64 (*.f64 (fma.f64 (neg.f64 beta) (-.f64 beta (neg.f64 beta)) (*.f64 beta beta)) beta) alpha)) (fma.f64 (neg.f64 beta) (-.f64 beta (neg.f64 beta)) (*.f64 beta beta))) alpha)) (neg.f64 beta)) alpha)) alpha))

rewrite233.0ms (2.7%)

Memory
37.9MiB live, 228.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045356
077324
1384280
23374268
08324268
Stop Event
iter limit
node limit
iter limit
Counts
22 → 668
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
(+.f64 beta #s(literal 2 binary64))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(-.f64 alpha beta)
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64))
(/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))
(+.f64 beta alpha)
#s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha))
(*.f64 beta beta)
Outputs
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eval296.0ms (3.4%)

Memory
-10.4MiB live, 507.7MiB allocated
Compiler

Compiled 45 939 to 4 755 computations (89.6% saved)

prune38.0ms (0.4%)

Memory
-9.0MiB live, 116.6MiB allocated
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New1 13781 145
Fresh4812
Picked235
Done011
Total1 143201 163
Accuracy
100.0%
Counts
1 163 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.8%
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
79.8%
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
49.3%
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
36.2%
(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #s(literal 1/2 binary64))
78.2%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
78.3%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
46.9%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
48.0%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
3.6%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
60.2%
(/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
51.7%
(/.f64 (fma.f64 #s(approx (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/.f64 (*.f64 alpha alpha) (+.f64 #s(literal 2 binary64) alpha))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
50.7%
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) alpha)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))
77.8%
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
36.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
22.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
23.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
33.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
33.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
40.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
52.2%
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
Compiler

Compiled 606 to 399 computations (34.2% saved)

simplify114.0ms (1.3%)

Memory
2.9MiB live, 170.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
cost-diff0
(/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff192
(fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64))
cost-diff256
(-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha))
cost-diff0
#s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))
cost-diff0
(/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha)))
cost-diff0
(-.f64 alpha beta)
cost-diff0
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
cost-diff0
(+.f64 #s(literal 2 binary64) alpha)
cost-diff0
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
cost-diff0
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) beta)
cost-diff0
#s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))
cost-diff0
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta)))
cost-diff0
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
(-.f64 alpha beta)
cost-diff0
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))))
cost-diff0
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff1024
(*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055434
093438
1189436
2368432
31127432
44972404
08142403
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))))
(-.f64 alpha beta)
alpha
beta
(-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))
#s(literal -2 binary64)
#s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))
(*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
(+.f64 (/.f64 alpha beta) #s(literal 1 binary64))
(/.f64 alpha beta)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta)))
#s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))
(*.f64 #s(literal 1/2 binary64) beta)
#s(literal 1/2 binary64)
beta
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
alpha
(+.f64 #s(literal 2 binary64) alpha)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(-.f64 alpha beta)
alpha
beta
(/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha)))
#s(literal 1/2 binary64)
#s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))
(-.f64 #s(literal -2 binary64) alpha)
#s(literal -2 binary64)
(/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha))
(*.f64 (neg.f64 beta) beta)
(neg.f64 beta)
beta
(*.f64 (neg.f64 alpha) alpha)
(neg.f64 alpha)
alpha
(*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
#s(literal -2 binary64)
(+.f64 beta alpha)
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
#s(literal 1 binary64)
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 alpha beta)
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
Outputs
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (+.f64 beta alpha)))) (-.f64 alpha beta) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (+.f64 beta alpha))))
(-.f64 alpha beta)
alpha
beta
(-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))
(-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (+.f64 beta alpha)))
#s(literal -2 binary64)
#s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))
#s(approx (+ alpha beta) (+.f64 beta alpha))
(*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
(+.f64 beta alpha)
(+.f64 (/.f64 alpha beta) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(/.f64 alpha beta)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta)))
#s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))
(*.f64 #s(literal 1/2 binary64) beta)
#s(literal 1/2 binary64)
beta
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1/2 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
(/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))
alpha
(+.f64 #s(literal 2 binary64) alpha)
(-.f64 alpha #s(literal -2 binary64))
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(-.f64 alpha beta)
alpha
beta
(/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha)))
#s(literal 1/2 binary64)
#s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))
(-.f64 #s(literal -2 binary64) alpha)
#s(literal -2 binary64)
(/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 beta beta)) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) (-.f64 (/.f64 alpha (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 beta (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))))) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (neg.f64 alpha) alpha (*.f64 beta beta)) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) (-.f64 (/.f64 alpha (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 beta (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(/.f64 (fma.f64 alpha alpha (*.f64 (neg.f64 beta) beta)) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))
(-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha))
(fma.f64 alpha alpha (*.f64 (neg.f64 beta) beta))
(*.f64 (neg.f64 beta) beta)
(neg.f64 beta)
beta
(*.f64 (neg.f64 alpha) alpha)
(neg.f64 alpha)
alpha
(*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)
#s(literal -2 binary64)
(+.f64 beta alpha)
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
(-.f64 (+.f64 beta alpha) #s(literal -2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 alpha (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 beta (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))))
#s(literal 1 binary64)
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(-.f64 (/.f64 alpha (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 beta (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 beta (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(-.f64 (+.f64 beta alpha) #s(literal -2 binary64))
(+.f64 alpha beta)
(+.f64 beta alpha)
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 alpha (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))

localize162.0ms (1.9%)

Memory
17.8MiB live, 335.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
accuracy1.2109292433208232
(-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha))
accuracy12.785991330236326
(fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64))
accuracy18.604724500588503
(/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
accuracy0
(-.f64 #s(literal -2 binary64) alpha)
accuracy0.02734375
(/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha)))
accuracy12.9119406605154
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
accuracy19.81906717377233
#s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))
accuracy0
(+.f64 #s(literal 2 binary64) alpha)
accuracy0.0078125
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
accuracy16.874841659896788
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy20.01909048762356
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy0
(*.f64 #s(literal 1/2 binary64) beta)
accuracy12.776189253646132
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy22.20930150784464
#s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))
accuracy28.74970670852335
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta)))
accuracy0.00390625
(+.f64 (/.f64 alpha beta) #s(literal 1 binary64))
accuracy0.025722509768442016
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))))
accuracy5.8820841207600365
(*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
accuracy12.776189253646132
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Samples
59.0ms185×0valid
42.0ms49×1valid
21.0ms22×2valid
Compiler

Compiled 726 to 92 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-div: 22.0ms (27.4% of total)
ival-add: 18.0ms (22.5% of total)
ival-mult: 16.0ms (20% of total)
adjust: 10.0ms (12.5% of total)
ival-sub: 10.0ms (12.5% of total)
ival-neg: 2.0ms (2.5% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series60.0ms (0.7%)

Memory
-6.0MiB live, 115.1MiB allocated
Counts
22 → 456
Calls
Call 1
Inputs
#s(alt (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta) (patch (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) (patch (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #<representation binary64>) () ())
#s(alt (-.f64 alpha beta) (patch (-.f64 alpha beta) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) (patch #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #<representation binary64>) () ())
#s(alt #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta)) (patch #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) beta) (patch (*.f64 #s(literal 1/2 binary64) beta) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (patch (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 2 binary64) alpha) (patch (+.f64 #s(literal 2 binary64) alpha) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #<representation binary64>) () ())
#s(alt #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha)) (patch #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (patch (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (patch (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #<representation binary64>) () ())
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#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #<representation binary64>) () ())
Outputs
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#s(alt alpha (taylor 0 beta) (#s(alt (-.f64 alpha beta) (patch (-.f64 alpha beta) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) (taylor -inf alpha) (#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf alpha) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) (taylor -inf alpha) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* beta (+ 2 beta)) (+ (* -1 (pow (+ 2 (+ beta (* -1 beta))) 2)) (pow (+ 2 beta) 2))) alpha)) (+ 2 (+ beta (* -1 beta)))) alpha))) (taylor -inf alpha) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 (+ beta (* -1 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (+ (* (+ 2 (+ beta (* -1 beta))) (- (* beta (+ 2 beta)) (+ (* -1 (pow (+ 2 (+ beta (* -1 beta))) 2)) (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 3)))) alpha)) (* beta (+ 2 beta))) (+ (* -1 (pow (+ 2 (+ beta (* -1 beta))) 2)) (pow (+ 2 beta) 2))) alpha)) (+ 2 (+ beta (* -1 beta)))) alpha))) (taylor -inf alpha) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
8.0ms
alpha
@inf
((* (+ (/ alpha beta) 1) beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ beta (+ beta 2)) (* 1/2 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ beta alpha)))) 1/2) (/ 1/2 (- -2 (+ beta alpha))) (- -2 (+ beta alpha)) (- (* (neg beta) beta) (* (neg alpha) alpha)) (+ (* (/ (- (* (neg beta) beta) (* (neg alpha) alpha)) (* (- -2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (/ (- (* (neg beta) beta) (* (neg alpha) alpha)) (* (- -2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (/ (- (* (neg beta) beta) (* (neg alpha) alpha)) (* (- -2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (/ alpha beta) 1) (- -2 alpha) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))))
7.0ms
alpha
@-inf
((* (+ (/ alpha beta) 1) beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ beta (+ beta 2)) (* 1/2 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ beta alpha)))) 1/2) (/ 1/2 (- -2 (+ beta alpha))) (- -2 (+ beta alpha)) (- (* (neg beta) beta) (* (neg alpha) alpha)) (+ (* (/ (- (* (neg beta) beta) (* (neg alpha) alpha)) (* (- -2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (/ (- (* (neg beta) beta) (* (neg alpha) alpha)) (* (- -2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (/ (- (* (neg beta) beta) (* (neg alpha) alpha)) (* (- -2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (/ alpha beta) 1) (- -2 alpha) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))))
5.0ms
alpha
@0
((* (+ (/ alpha beta) 1) beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ beta (+ beta 2)) (* 1/2 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ beta alpha)))) 1/2) (/ 1/2 (- -2 (+ beta alpha))) (- -2 (+ beta alpha)) (- (* (neg beta) beta) (* (neg alpha) alpha)) (+ (* (/ (- (* (neg beta) beta) (* (neg alpha) alpha)) (* (- -2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (/ (- (* (neg beta) beta) (* (neg alpha) alpha)) (* (- -2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (/ (- (* (neg beta) beta) (* (neg alpha) alpha)) (* (- -2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (/ alpha beta) 1) (- -2 alpha) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))))
5.0ms
beta
@0
((* (+ (/ alpha beta) 1) beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ beta (+ beta 2)) (* 1/2 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ beta alpha)))) 1/2) (/ 1/2 (- -2 (+ beta alpha))) (- -2 (+ beta alpha)) (- (* (neg beta) beta) (* (neg alpha) alpha)) (+ (* (/ (- (* (neg beta) beta) (* (neg alpha) alpha)) (* (- -2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (/ (- (* (neg beta) beta) (* (neg alpha) alpha)) (* (- -2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (/ (- (* (neg beta) beta) (* (neg alpha) alpha)) (* (- -2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (/ alpha beta) 1) (- -2 alpha) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))))
5.0ms
beta
@-inf
((* (+ (/ alpha beta) 1) beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (/ beta (+ beta 2)) (* 1/2 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (+ (* (- alpha beta) (/ 1/2 (- -2 (+ beta alpha)))) 1/2) (/ 1/2 (- -2 (+ beta alpha))) (- -2 (+ beta alpha)) (- (* (neg beta) beta) (* (neg alpha) alpha)) (+ (* (/ (- (* (neg beta) beta) (* (neg alpha) alpha)) (* (- -2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (/ (- (* (neg beta) beta) (* (neg alpha) alpha)) (* (- -2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (/ (- (* (neg beta) beta) (* (neg alpha) alpha)) (* (- -2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (/ alpha beta) 1) (- -2 alpha) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))))

simplify278.0ms (3.2%)

Memory
-22.7MiB live, 370.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137616116
1475514487
0825513804
Stop Event
iter limit
node limit
Counts
456 → 445
Calls
Call 1
Inputs
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
alpha
(+ alpha (* -1 beta))
(+ alpha (* -1 beta))
(+ alpha (* -1 beta))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
(* 1/2 beta)
(* 1/2 beta)
(* 1/2 beta)
(* 1/2 beta)
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))))
(/ -1/2 (+ 2 alpha))
(- (* 1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha))))
(- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(- (* beta (+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(* -1 (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(pow alpha 2)
(- (* -1 (pow beta 2)) (* -1 (pow alpha 2)))
(- (* -1 (pow beta 2)) (* -1 (pow alpha 2)))
(- (* -1 (pow beta 2)) (* -1 (pow alpha 2)))
(+ 1 (* -1 (/ alpha (+ 2 alpha))))
(+ 1 (+ (* -1 (* beta (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3)))))) (* -1 (/ alpha (+ 2 alpha)))))
(+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* beta (+ (* -1 (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (* alpha (+ 2 alpha))) (+ (/ alpha (pow (+ 2 alpha) 3)) (+ (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2)) (/ (* (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha))))))))))))
(+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* beta (+ (* -1 (* beta (- (* 2 (/ alpha (pow (+ 2 alpha) 4))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2))) (+ (* -1 (/ (* (+ (* -1 (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (* alpha (+ 2 alpha))) (+ (/ alpha (pow (+ 2 alpha) 3)) (+ (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2)) (/ (* (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha))))))) (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha)))) (* alpha (+ 2 alpha)))) (+ (* 2 (/ 1 (pow (+ 2 alpha) 3))) (/ (* (+ (* -1 (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (+ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha))))))))) (+ (* -1 (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (* alpha (+ 2 alpha))) (+ (/ alpha (pow (+ 2 alpha) 3)) (+ (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2)) (/ (* (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha)))))))))))))
(* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))
(+ (* -1/2 (* beta (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3)))))) (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))))
(+ (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))) (* beta (+ (* -1/2 (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* 1/2 (* beta (+ (* -1 (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (* alpha (+ 2 alpha))) (+ (/ alpha (pow (+ 2 alpha) 3)) (+ (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2)) (/ (* (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha))))))))))))
(+ (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))) (* beta (+ (* -1/2 (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* beta (+ (* -1/2 (* beta (- (* 2 (/ alpha (pow (+ 2 alpha) 4))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2))) (+ (* -1 (/ (* (+ (* -1 (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (* alpha (+ 2 alpha))) (+ (/ alpha (pow (+ 2 alpha) 3)) (+ (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2)) (/ (* (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha))))))) (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha)))) (* alpha (+ 2 alpha)))) (+ (* 2 (/ 1 (pow (+ 2 alpha) 3))) (/ (* (+ (* -1 (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (+ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha))))))))) (* 1/2 (+ (* -1 (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (* alpha (+ 2 alpha))) (+ (/ alpha (pow (+ 2 alpha) 3)) (+ (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2)) (/ (* (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha)))))))))))))
(* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(+ (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (* beta (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 4)))
(+ (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (* beta (+ (* beta (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))))
(+ (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (* beta (+ (* beta (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (+ (* beta (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))) (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))))
(/ alpha beta)
(/ (+ alpha beta) beta)
(/ (+ alpha beta) beta)
(/ (+ alpha beta) beta)
(/ (+ 2 alpha) alpha)
(+ 1 (+ (* -1 (/ (* beta (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (pow alpha 2))) (* 2 (/ 1 alpha))))
(+ 1 (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow alpha 2))) (* -1 (/ (* (pow (+ 2 alpha) 3) (pow (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2)) (pow alpha 3)))))) (/ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow alpha 2)))) (* 2 (/ 1 alpha))))
(+ 1 (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 2 alpha) (* (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow alpha 2))) (* -1 (/ (* (pow (+ 2 alpha) 3) (pow (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2)) (pow alpha 3)))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) alpha)) (+ (/ (* (pow (+ 2 alpha) 2) (- (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))) (pow alpha 2)) (/ (* (pow (+ 2 alpha) 3) (* (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (pow alpha 3)))))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow alpha 2))) (* -1 (/ (* (pow (+ 2 alpha) 3) (pow (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2)) (pow alpha 3)))))) (/ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow alpha 2)))) (* 2 (/ 1 alpha))))
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
1
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(* -1 beta)
(* beta (- (/ alpha beta) 1))
(* beta (- (/ alpha beta) 1))
(* beta (- (/ alpha beta) 1))
1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
1
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
1
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(* 1/2 beta)
(* 1/2 beta)
(* 1/2 beta)
(* 1/2 beta)
1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
(/ -1/2 beta)
(/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta)
(/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta)))) beta)
(/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) beta)
(* -1 beta)
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(* -1 (pow beta 2))
(* (pow beta 2) (- (/ (pow alpha 2) (pow beta 2)) 1))
(* (pow beta 2) (- (/ (pow alpha 2) (pow beta 2)) 1))
(* (pow beta 2) (- (/ (pow alpha 2) (pow beta 2)) 1))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (* -1 (/ (pow alpha 2) (pow beta 2)))) (+ (* -2 (/ (+ 4 (* 2 alpha)) (pow beta 2))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))))
(- (+ 2 (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ (* (pow alpha 2) (+ 2 (* 2 alpha))) (pow beta 3)))) (+ (* -2 (/ (+ 4 (* 2 alpha)) (pow beta 2))) (+ (* -2 (/ (pow (+ 2 alpha) 2) (pow beta 3))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))))) (pow beta 3))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (pow (+ 2 alpha) 2)))) (pow beta 3))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))))) (pow beta 2))) (* 1/2 (/ (- (* (pow alpha 2) (+ 2 (* 2 alpha))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)))))) (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)))))))) (pow beta 3))))))
1
(+ 1 (* -1 (/ (+ 4 (* 2 alpha)) beta)))
(- (+ 1 (* -1 (/ (pow alpha 2) (pow beta 2)))) (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))) (* (+ 4 (* 2 alpha)) (- (* -1 (pow alpha 2)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))))) (pow beta 3))) (* -1 (/ (pow alpha 2) (pow beta 2))))) (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
1
(+ 1 (/ alpha beta))
(+ 1 (/ alpha beta))
(+ 1 (/ alpha beta))
1
(+ 1 (* 2 (/ 1 beta)))
(- (+ 1 (+ (* 2 (/ 1 beta)) (/ 4 (pow beta 2)))) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -2 (- 4 (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))) (pow beta 3))) (+ (* 2 (/ 1 beta)) (/ 4 (pow beta 2))))) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2))))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
1
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
(* -1 beta)
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
1
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
1
(- 1 (* 2 (/ 1 beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(* 1/2 beta)
(* 1/2 beta)
(* 1/2 beta)
(* 1/2 beta)
1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
1
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(/ -1/2 beta)
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) beta)) (* -1/2 (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 3) beta)) (* -1/2 (pow (+ 2 alpha) 2))) beta)) (* -1/2 (+ 2 alpha))) beta))) beta))
(* -1 beta)
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(* -1 (pow beta 2))
(* (pow beta 2) (- (/ (pow alpha 2) (pow beta 2)) 1))
(* (pow beta 2) (- (/ (pow alpha 2) (pow beta 2)) 1))
(* (pow beta 2) (- (/ (pow alpha 2) (pow beta 2)) 1))
2
(+ 2 (* -1 (/ (+ 2 (+ alpha (* -1 (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))))) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (+ (* -1 (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))) (/ (pow alpha 2) beta)))) (+ (* -1 (/ (- (+ (* -1 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) beta)) (+ (/ (* (+ 2 alpha) (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))) beta) (/ (pow (+ 2 (+ alpha (* -1 (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))))) 2) beta)))) beta)))
(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))) (* -1 (/ (+ (* -1 (- (pow alpha 2) (+ (* -1 (- (+ (* -1 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* (+ 2 alpha) (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))) (pow (+ 2 (+ alpha (* -1 (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))))) 2))))) (* -1 (/ (+ (* -1 (* (+ 2 (+ alpha (* -1 (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))))) (- (pow alpha 2) (+ (* -1 (- (+ (* -1 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* (+ 2 alpha) (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))) (pow (+ 2 (+ alpha (* -1 (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))))) 2)))))) (+ (* -1 (- (+ (* -1 (* (+ 2 alpha) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)) (* alpha (pow (+ 2 alpha) 2)))) (+ (* (+ 2 alpha) (- (+ (* -1 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (* (+ 2 (+ alpha (* -1 (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (* (+ 2 alpha) (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha))))))))))) beta))) beta))))) beta)))
1
(+ 1 (* -1/2 (/ (+ 2 (+ alpha (* -1 (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))))) beta)))
(+ 1 (* -1 (/ (+ (* 1/2 (+ 2 (+ alpha (* -1 (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha))))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (- (+ (* -1 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* (+ 2 alpha) (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))) (pow (+ 2 (+ alpha (* -1 (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))))) 2)))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (- (+ (* -1 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* (+ 2 alpha) (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))) (pow (+ 2 (+ alpha (* -1 (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))))) 2))))) (* -1/2 (/ (+ (* -1 (* (+ 2 (+ alpha (* -1 (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))))) (- (pow alpha 2) (+ (* -1 (- (+ (* -1 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* (+ 2 alpha) (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))) (pow (+ 2 (+ alpha (* -1 (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))))) 2)))))) (+ (* -1 (- (+ (* -1 (* (+ 2 alpha) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (pow (+ 2 alpha) 3)) (* alpha (pow (+ 2 alpha) 2)))) (+ (* (+ 2 alpha) (- (+ (* -1 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (* (+ 2 (+ alpha (* -1 (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (* (+ 2 alpha) (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha))))))))))) beta))) beta)) (* 1/2 (+ 2 (+ alpha (* -1 (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (+ 2 alpha)))))))))) beta)))
1
(+ 1 (* -1 (/ (+ 4 (* 2 alpha)) beta)))
(+ 1 (* -1 (/ (- (+ 4 (+ (* 2 alpha) (/ (pow alpha 2) beta))) (+ (* -1 (/ (pow (+ 2 alpha) 2) beta)) (/ (pow (+ 4 (* 2 alpha)) 2) beta))) beta)))
(+ 1 (* -1 (/ (+ 4 (+ (* -1 (/ (+ (* -1 (- (pow alpha 2) (+ (* -1 (pow (+ 2 alpha) 2)) (pow (+ 4 (* 2 alpha)) 2)))) (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* -1 (pow (+ 2 alpha) 2)) (pow (+ 4 (* 2 alpha)) 2))))) (* -1 (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))))) beta))) beta)) (* 2 alpha))) beta)))
1
(+ 1 (/ alpha beta))
(+ 1 (/ alpha beta))
(+ 1 (/ alpha beta))
1
(+ 1 (+ (* -1 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* alpha (+ 2 alpha)) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2))) beta)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* alpha (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -1 alpha))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (* -1 alpha))) (- (* alpha (+ 2 alpha)) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 3)))) beta)) (* alpha (+ 2 alpha))) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2))) beta)) (+ 2 (+ alpha (* -1 alpha)))) beta)))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(* -1 beta)
(- alpha beta)
(- alpha beta)
(- alpha beta)
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(* 1/2 alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
2
(+ 2 alpha)
(+ 2 alpha)
(+ 2 alpha)
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(/ -1/2 (+ 2 beta))
(- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(* -1 (pow beta 2))
(+ (* -1 (pow beta 2)) (pow alpha 2))
(+ (* -1 (pow beta 2)) (pow alpha 2))
(+ (* -1 (pow beta 2)) (pow alpha 2))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (/ (* alpha (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta)))) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (+ (* -1 (* alpha (- (/ 1 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (/ (pow (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) 2) (* beta (pow (+ 2 beta) 3))))))) (* -1 (/ (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (+ (* -1 (/ (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (pow (+ 2 beta) 2))) (* alpha (+ (* -1 (- (/ 1 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (/ (pow (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) 2) (* beta (pow (+ 2 beta) 3)))))) (* alpha (+ (* -1 (/ (- (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))) (/ 1 (+ 2 beta)))) (/ beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 2))) (+ (/ (* (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta)))) (* beta (pow (+ 2 beta) 3))) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ 1 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (/ (pow (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) 2) (* beta (pow (+ 2 beta) 3)))))) (* beta (+ 2 beta)))))))))) (/ beta (+ 2 beta))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
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(/ (pow beta 2) (pow (+ 2 beta) 2))
(+ (* -1 (/ (* alpha (* (pow beta 2) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 4))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(+ (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (* -1 (/ (pow beta 2) (pow (+ 2 beta) 4))) (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6)))))) (* -1 (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
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1
(+ 1 (/ alpha beta))
(+ 1 (/ alpha beta))
(+ 1 (/ alpha beta))
-2
(- (* -1 alpha) 2)
(- (* -1 alpha) 2)
(- (* -1 alpha) 2)
(/ (+ 2 beta) beta)
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alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
(* alpha (+ 1 (* -1 (/ beta alpha))))
(* alpha (+ 1 (* -1 (/ beta alpha))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
1
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
(/ -1/2 alpha)
(/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha)
(/ (- (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha)))) alpha)
(/ (- (* 1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 beta) alpha)) (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) alpha)
(* -1 alpha)
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (pow beta 2) (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (* -1 (/ (pow beta 2) (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (* -1 (/ (pow beta 2) (pow alpha 2)))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (+ 2 (+ (* -1 (/ (- (* -1 (pow beta 2)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) alpha)) (* 2 beta))) alpha)
(/ (+ 2 (+ (* -2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 2))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2))) (+ (* -1 (/ (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)) (pow alpha 2))) (+ (* -1 (/ (- (* -1 (pow beta 2)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) alpha)) (+ (* 2 beta) (/ (* (+ 2 (* 2 beta)) (- (* -1 (pow beta 2)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (pow alpha 2))))))))) alpha)
(/ (+ 2 (+ (* -2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))) (+ (* -1 (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (* (+ 2 (* 2 beta)) (- (* -1 (pow beta 2)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))))))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))) (* -1 (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (pow alpha 3))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 3))) (+ (* -1 (/ (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 (pow beta 2)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) alpha)) (+ (* 2 beta) (+ (/ (* (+ 2 (* 2 beta)) (- (* -1 (pow beta 2)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (pow alpha 2)) (/ (* (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (- (* -1 (pow beta 2)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (pow alpha 3))))))))))))))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* -1/2 (/ (- (* -1 (pow beta 2)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha)
(/ (+ (* -1/2 (/ (- (* -1 (pow beta 2)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) alpha)) (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))) (+ (* -1 (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (* (+ 2 (* 2 beta)) (- (* -1 (pow beta 2)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))))))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (- (* -1 (pow beta 2)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) alpha)) (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))) (+ (* -1 (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (* (+ 2 (* 2 beta)) (- (* -1 (pow beta 2)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))))))) (pow alpha 2))) (* 1/2 (/ (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))) (+ (* -1 (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (* (+ 2 (* 2 beta)) (- (* -1 (pow beta 2)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))))))))) (+ (* -1 (* (+ 2 (* 2 beta)) (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))) (* -1 (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))))))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3)))) (* (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (- (* -1 (pow beta 2)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))))))))) (pow alpha 3)))))) alpha)
-1
(- (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))) 1)
(- (+ (* -1 (/ (- (* -1 (pow beta 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))) 1)
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 (pow beta 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (* (+ 4 (* 2 beta)) (- (* -1 (pow beta 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (pow alpha 3)))))) 1)
(/ alpha beta)
(* alpha (+ (/ 1 alpha) (/ 1 beta)))
(* alpha (+ (/ 1 alpha) (/ 1 beta)))
(* alpha (+ (/ 1 alpha) (/ 1 beta)))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
1
(+ 1 (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 2 (/ 1 alpha)) (/ 4 (pow alpha 2)))) (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (pow alpha 2))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -2 (- 4 (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))))) (* -1 (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))))) (pow alpha 3))) (+ (* 2 (/ 1 alpha)) (/ 4 (pow alpha 2))))) (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (pow alpha 2))))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1)
alpha
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 (* alpha (- (/ beta alpha) 1)))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1)
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
1
(- 1 (* 2 (/ 1 alpha)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(/ -1/2 alpha)
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 3) alpha)) (* -1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha))
(* -1 alpha)
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (pow beta 2) (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (* -1 (/ (pow beta 2) (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (* -1 (/ (pow beta 2) (pow alpha 2)))))
(/ (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) alpha)
(* -1 (/ (- (* -1 (/ (- (pow beta 2) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2)))) alpha)) (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta))))))))) alpha))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* (pow beta 2) (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta))))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (pow (+ 2 beta) 3)) (* beta (pow (+ 2 beta) 2)))) (+ (* (+ 2 beta) (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2)))))))) alpha)) (pow beta 2)) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2)))) alpha)) (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta))))))))) alpha))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* (pow beta 2) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (* (pow beta 2) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (- (pow (+ 2 beta) 3) (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3)))) (+ (* (+ 2 beta) (- (+ (* -1 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (pow (+ 2 beta) 3)) (* beta (pow (+ 2 beta) 2)))) (+ (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (pow (+ 2 beta) 3)) (* beta (pow (+ 2 beta) 2)))) (* (+ 2 beta) (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))))) (+ (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (pow (+ 2 beta) 3)) (* beta (pow (+ 2 beta) 2)))) (+ (* (+ 2 beta) (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2)))))))) (* (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2))))))))) alpha)) (* (pow beta 2) (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (pow (+ 2 beta) 3)) (* beta (pow (+ 2 beta) 2)))) (+ (* (+ 2 beta) (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2)))))))) alpha)) (pow beta 2)) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2)))) alpha)) (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta))))))))) alpha))
(* 1/2 (/ (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) alpha))
(* -1 (/ (+ (* -1/2 (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta))))))))) (* -1/2 (/ (- (pow beta 2) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* (pow beta 2) (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta))))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (pow (+ 2 beta) 3)) (* beta (pow (+ 2 beta) 2)))) (+ (* (+ 2 beta) (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2)))))))) alpha)) (* 1/2 (- (pow beta 2) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2)))))) alpha)) (* -1/2 (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* (pow beta 2) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (* (pow beta 2) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (- (pow (+ 2 beta) 3) (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3)))) (+ (* (+ 2 beta) (- (+ (* -1 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (pow (+ 2 beta) 3)) (* beta (pow (+ 2 beta) 2)))) (+ (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (pow (+ 2 beta) 3)) (* beta (pow (+ 2 beta) 2)))) (* (+ 2 beta) (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))))) (+ (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (pow (+ 2 beta) 3)) (* beta (pow (+ 2 beta) 2)))) (+ (* (+ 2 beta) (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2)))))))) (* (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2))))))))) alpha)) (* 1/2 (- (* (pow beta 2) (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta))))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (pow (+ 2 beta) 3)) (* beta (pow (+ 2 beta) 2)))) (+ (* (+ 2 beta) (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2)))))))))) alpha)) (* 1/2 (- (pow beta 2) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2)))))) alpha)) (* -1/2 (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))))) alpha))
-1
(- (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))) 1)
(- (* -1 (/ (- (* -1 (/ (- (pow beta 2) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2))) alpha)) (+ 4 (* 2 beta))) alpha)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) alpha)) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) alpha)) (pow beta 2))) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2))) alpha)) (+ 4 (* 2 beta))) alpha)) 1)
(/ alpha beta)
(* alpha (+ (/ 1 alpha) (/ 1 beta)))
(* alpha (+ (/ 1 alpha) (/ 1 beta)))
(* alpha (+ (/ 1 alpha) (/ 1 beta)))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
1
(+ 1 (+ (* -1 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* beta (+ 2 beta)) (+ (* -1 (pow (+ 2 (+ beta (* -1 beta))) 2)) (pow (+ 2 beta) 2))) alpha)) (+ 2 (+ beta (* -1 beta)))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 (+ beta (* -1 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (+ (* (+ 2 (+ beta (* -1 beta))) (- (* beta (+ 2 beta)) (+ (* -1 (pow (+ 2 (+ beta (* -1 beta))) 2)) (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 3)))) alpha)) (* beta (+ 2 beta))) (+ (* -1 (pow (+ 2 (+ beta (* -1 beta))) 2)) (pow (+ 2 beta) 2))) alpha)) (+ 2 (+ beta (* -1 beta)))) alpha)))
Outputs
alpha
(+ alpha beta)
(+.f64 beta alpha)
(+ alpha beta)
(+.f64 beta alpha)
(+ alpha beta)
(+.f64 beta alpha)
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))))
(+.f64 (fma.f64 (fma.f64 (*.f64 beta (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) beta (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))))
(+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64))) beta (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) beta (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(* -1 (/ alpha (+ 2 alpha)))
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (fma.f64 beta (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 #s(literal -2 binary64) alpha)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 #s(literal -2 binary64) alpha))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
alpha
(+ alpha (* -1 beta))
(-.f64 alpha beta)
(+ alpha (* -1 beta))
(-.f64 alpha beta)
(+ alpha (* -1 beta))
(-.f64 alpha beta)
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))))
(+.f64 (fma.f64 (fma.f64 (*.f64 beta (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) beta (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))))
(+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64))) beta (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) beta (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
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beta
(* beta (+ 1 (/ alpha beta)))
(*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
(* beta (+ 1 (/ alpha beta)))
(*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
(* beta (+ 1 (/ alpha beta)))
(*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta))
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(* -1 beta)
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(* beta (- (/ alpha beta) 1))
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(* beta (- (/ alpha beta) 1))
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
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1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
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(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
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(* 1/2 beta)
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(* 1/2 beta)
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(* 1/2 beta)
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(* 1/2 beta)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(/ -1/2 beta)
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(/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta)
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(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
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2
#s(literal 2 binary64)
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1
#s(literal 1 binary64)
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1
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beta
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(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
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(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
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(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
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1/2
#s(literal 1/2 binary64)
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(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
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2
#s(literal 2 binary64)
(+ 2 alpha)
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(+ 2 alpha)
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(+ 2 alpha)
(+.f64 #s(literal 2 binary64) alpha)
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
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(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
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(/ -1/2 (+ 2 beta))
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(- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))
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(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
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(* -1 (+ 2 beta))
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(* -1 (pow beta 2))
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(+ 1 (+ (* alpha (+ (* -1 (/ (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (pow (+ 2 beta) 2))) (* alpha (+ (* -1 (- (/ 1 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (/ (pow (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) 2) (* beta (pow (+ 2 beta) 3)))))) (* alpha (+ (* -1 (/ (- (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))) (/ 1 (+ 2 beta)))) (/ beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 2))) (+ (/ (* (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta)))) (* beta (pow (+ 2 beta) 3))) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ 1 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (/ (pow (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) 2) (* beta (pow (+ 2 beta) 3)))))) (* beta (+ 2 beta)))))))))) (/ beta (+ 2 beta))))
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (* alpha (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta)))) (pow (+ 2 beta) 2))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 alpha (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) beta) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (/ (pow (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) 2) (* beta (pow (+ 2 beta) 3))))))) (* -1/2 (/ (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (pow (+ 2 beta) 2))))))
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (/ (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (pow (+ 2 beta) 2))) (* alpha (+ (* -1/2 (- (/ 1 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (/ (pow (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) 2) (* beta (pow (+ 2 beta) 3)))))) (* 1/2 (* alpha (+ (* -1 (/ (- (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))) (/ 1 (+ 2 beta)))) (/ beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 2))) (+ (/ (* (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta)))) (* beta (pow (+ 2 beta) 3))) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ 1 (* beta (+ 2 beta))) (+ (* -1 (/ (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (/ (pow (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) 2) (* beta (pow (+ 2 beta) 3)))))) (* beta (+ 2 beta))))))))))))
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(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/ (pow beta 2) (pow (+ 2 beta) 2))
(/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))
(+ (* -1 (/ (* alpha (* (pow beta 2) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 4))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(fma.f64 (neg.f64 alpha) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))
(+ (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (* -1 (/ (pow beta 2) (pow (+ 2 beta) 4))) (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6)))))) (* -1 (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
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1
#s(literal 1 binary64)
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(+ 1 (/ alpha beta))
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#s(literal -2 binary64)
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(- (* -1 alpha) 2)
(-.f64 #s(literal -2 binary64) alpha)
(- (* -1 alpha) 2)
(-.f64 #s(literal -2 binary64) alpha)
(/ (+ 2 beta) beta)
(/.f64 (+.f64 #s(literal 2 binary64) beta) beta)
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alpha
(* alpha (+ 1 (/ beta alpha)))
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(* alpha (+ 1 (/ beta alpha)))
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(* alpha (+ 1 (/ beta alpha)))
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(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
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-1
#s(literal -1 binary64)
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alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
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(* alpha (+ 1 (* -1 (/ beta alpha))))
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(* alpha (+ 1 (* -1 (/ beta alpha))))
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
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(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
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(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
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(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
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-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
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(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
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(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
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(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
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(/ 1 alpha)
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(/ (- 1 (* 2 (/ 1 alpha))) alpha)
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1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
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(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
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alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha)
(* alpha (+ 1 (* 2 (/ 1 alpha))))
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(* alpha (+ 1 (* 2 (/ 1 alpha))))
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
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(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
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(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
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(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
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(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
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(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
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(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (neg.f64 alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
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1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
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(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha)) alpha))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha)
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha)
(* alpha (+ 1 (* 2 (/ 1 alpha))))
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(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
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(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
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(/ -1/2 alpha)
(/.f64 #s(literal -1/2 binary64) alpha)
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha))
(/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) beta))) alpha)) (neg.f64 alpha))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 3) alpha)) (* -1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal -1/2 binary64))) alpha)) (neg.f64 alpha))
(* -1 alpha)
(neg.f64 alpha)
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(*.f64 (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (neg.f64 alpha))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(*.f64 (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (neg.f64 alpha))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(*.f64 (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (neg.f64 alpha))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* -1 (/ (pow beta 2) (pow alpha 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 alpha alpha))
(* (pow alpha 2) (+ 1 (* -1 (/ (pow beta 2) (pow alpha 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 alpha alpha))
(* (pow alpha 2) (+ 1 (* -1 (/ (pow beta 2) (pow alpha 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 alpha alpha))
(/ (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) alpha)
(/.f64 (+.f64 (-.f64 beta (+.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64))) #s(literal 2 binary64)) alpha)
(* -1 (/ (- (* -1 (/ (- (pow beta 2) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2)))) alpha)) (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta))))))))) alpha))
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 beta beta) (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta) (pow.f64 (+.f64 (-.f64 beta (+.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)))) (neg.f64 alpha)) (+.f64 (-.f64 beta (+.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 alpha))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* (pow beta 2) (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta))))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (pow (+ 2 beta) 3)) (* beta (pow (+ 2 beta) 2)))) (+ (* (+ 2 beta) (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (* (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2)))))))) alpha)) (pow beta 2)) (+ (* -1 (- (+ (* -1 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* (+ 2 beta) (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))) (pow (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta)))))))) 2)))) alpha)) (+ 2 (+ beta (* -1 (+ 2 (+ beta (+ (* -1 beta) (* -1 (+ 2 beta))))))))) alpha))
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binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta))) (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta) (pow.f64 (+.f64 (-.f64 beta (+.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)))))) (-.f64 (fma.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (-.f64 #s(literal -2 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta)))) alpha) #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (+.f64 (-.f64 beta (+.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 beta beta)) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 (-.f64 beta (+.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (-.f64 (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta) (pow.f64 (+.f64 (-.f64 beta (+.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta))) (-.f64 (*.f64 (+.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)))))) (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (-.f64 #s(literal -2 binary64) beta) (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))) #s(literal 1/2 binary64))) alpha)) (neg.f64 alpha))) (neg.f64 alpha))
-1
#s(literal -1 binary64)
(- (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))) 1)
(-.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) #s(literal 1 binary64))
(- (* -1 (/ (- (* -1 (/ (- (pow beta 2) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2))) alpha)) (+ 4 (* 2 beta))) alpha)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 beta beta) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (neg.f64 alpha)) #s(literal 1 binary64))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) alpha)) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) alpha)) (pow beta 2))) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2))) alpha)) (+ 4 (* 2 beta))) alpha)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 beta beta) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 alpha)) (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) (*.f64 beta beta))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (neg.f64 alpha)) #s(literal 1 binary64))
(/ alpha beta)
(/.f64 alpha beta)
(* alpha (+ (/ 1 alpha) (/ 1 beta)))
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(* alpha (+ (/ 1 alpha) (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) beta) alpha))
(* alpha (+ (/ 1 alpha) (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) beta) alpha))
(* -1 alpha)
(neg.f64 alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (neg.f64 alpha))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (neg.f64 alpha))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (neg.f64 alpha))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(+.f64 (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 beta alpha)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* beta (+ 2 beta)) (+ (* -1 (pow (+ 2 (+ beta (* -1 beta))) 2)) (pow (+ 2 beta) 2))) alpha)) (+ 2 (+ beta (* -1 beta)))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) beta #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 (+ beta (* -1 beta))) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (+ (* (+ 2 (+ beta (* -1 beta))) (- (* beta (+ 2 beta)) (+ (* -1 (pow (+ 2 (+ beta (* -1 beta))) 2)) (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 3)))) alpha)) (* beta (+ 2 beta))) (+ (* -1 (pow (+ 2 (+ beta (* -1 beta))) 2)) (pow (+ 2 beta) 2))) alpha)) (+ 2 (+ beta (* -1 beta)))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta) (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) #s(literal -2 binary64) (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) beta #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) alpha) #s(literal -1 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) beta #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) #s(literal -2 binary64)) alpha))

rewrite158.0ms (1.8%)

Memory
11.7MiB live, 287.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055311
093305
1473245
24224242
08105241
Stop Event
iter limit
node limit
iter limit
Counts
22 → 443
Calls
Call 1
Inputs
(*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))))
(-.f64 alpha beta)
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta)))
#s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))
(*.f64 #s(literal 1/2 binary64) beta)
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
(+.f64 #s(literal 2 binary64) alpha)
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha)))
#s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))
(-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha))
(fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(+.f64 (/.f64 alpha beta) #s(literal 1 binary64))
(-.f64 #s(literal -2 binary64) alpha)
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
Outputs
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eval219.0ms (2.5%)

Memory
37.8MiB live, 385.7MiB allocated
Compiler

Compiled 31 970 to 3 275 computations (89.8% saved)

prune48.0ms (0.6%)

Memory
-4.3MiB live, 158.8MiB allocated
Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New9278935
Fresh2911
Picked235
Done044
Total93124955
Accuracy
100.0%
Counts
955 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.8%
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
79.8%
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
36.2%
(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #s(literal 1/2 binary64))
78.2%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
78.3%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
46.9%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
48.0%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
3.6%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
39.1%
(/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(approx (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (/.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
51.7%
(/.f64 (fma.f64 #s(approx (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/.f64 (*.f64 alpha alpha) (+.f64 #s(literal 2 binary64) alpha))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
50.7%
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) alpha)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))
36.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
23.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
33.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
33.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
40.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
52.2%
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
52.1%
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)))
51.0%
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
50.3%
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
19.2%
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal -1 binary64) #s(literal -2 binary64)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha))))
19.0%
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
20.4%
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
52.1%
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
Compiler

Compiled 1 307 to 501 computations (61.7% saved)

regimes84.0ms (1%)

Memory
-24.7MiB live, 186.0MiB allocated
Counts
47 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(approx (/ (+ (* alpha (+ alpha beta)) (* beta beta)) (+ 2 (+ alpha beta))) (/.f64 (*.f64 alpha alpha) (+.f64 #s(literal 2 binary64) alpha))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (- beta alpha) (+ (* alpha (+ alpha beta)) (* beta beta))) (/.f64 #s(literal -1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal -1 binary64) #s(literal -2 binary64)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha))))
(/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(approx (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (/.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (neg.f64 beta) beta) (*.f64 (neg.f64 alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) alpha)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (neg.f64 (/.f64 (fma.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (*.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha)) #s(literal 1/2 binary64))) alpha))) alpha))) alpha)))
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

5 calls:

29.0ms
alpha
14.0ms
beta
12.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
12.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
12.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
93.9%2alpha
80.0%1beta
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes24.0ms (0.3%)

Memory
-8.0MiB live, 69.8MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

8.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
8.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes27.0ms (0.3%)

Memory
-4.1MiB live, 75.4MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

10.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
7.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes21.0ms (0.2%)

Memory
21.0MiB live, 59.5MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
Calls

3 calls:

7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
6.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes21.0ms (0.2%)

Memory
-19.2MiB live, 57.9MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) #s(approx (/ 1/2 (- -2 (+ beta alpha))) (/.f64 #s(literal -1/2 binary64) beta)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- -2 (+ beta alpha)) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
Calls

3 calls:

7.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.4%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.4%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.4%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes15.0ms (0.2%)

Memory
2.4MiB live, 43.5MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
Calls

3 calls:

7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
4.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.1%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.1%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.1%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes12.0ms (0.1%)

Memory
0.1MiB live, 38.9MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
Calls

3 calls:

4.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.1%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.1%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.1%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes10.0ms (0.1%)

Memory
33.5MiB live, 33.4MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
Calls

3 calls:

3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
3.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
97.9%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
97.9%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
97.9%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes15.0ms (0.2%)

Memory
-21.7MiB live, 52.2MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
Calls

3 calls:

7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
97.7%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
97.7%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
97.7%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes17.0ms (0.2%)

Memory
-1.5MiB live, 40.1MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
Outputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
Calls

4 calls:

8.0ms
alpha
3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
68.2%2alpha
94.1%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
94.1%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
94.1%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes8.0ms (0.1%)

Memory
25.7MiB live, 25.7MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
Outputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

3 calls:

3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
93.7%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
93.7%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
93.7%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes8.0ms (0.1%)

Memory
-15.4MiB live, 24.1MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

3 calls:

3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
93.7%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
93.7%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
93.7%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes9.0ms (0.1%)

Memory
-9.8MiB live, 29.7MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

4 calls:

3.0ms
beta
2.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
76.7%2beta
76.7%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
76.7%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
76.7%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes7.0ms (0.1%)

Memory
-3.2MiB live, 36.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
Outputs
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
Calls

5 calls:

2.0ms
alpha
1.0ms
beta
1.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
1.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
52.1%1alpha
52.1%1beta
52.1%1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
52.1%1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
52.1%1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 35 to 30 computations (14.3% saved)

bsearch1.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999326
-0.9998981684788256
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999326
-0.9998981684788256
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999326
-0.9998981684788256
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999326
-0.9998981684788256
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.9MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9989303007670824
-0.04655354382231312
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00012357951349639532
0.3105189492416784
0.0ms
-0.9999999999999326
-0.9998981684788256
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00012357951349639532
0.3105189492416784
0.0ms
-0.9999999999999326
-0.9998981684788256
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00012357951349639532
0.3105189492416784
0.0ms
-0.9989303007670824
-0.04655354382231312
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00012357951349639532
0.3105189492416784
0.0ms
-0.9989303007670824
-0.04655354382231312
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00012357951349639532
0.3105189492416784
0.0ms
-0.9989303007670824
-0.04655354382231312
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00012357951349639532
0.3105189492416784
0.0ms
-0.9989303007670824
-0.04655354382231312
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00012357951349639532
0.3105189492416784
0.0ms
-0.9989303007670824
-0.04655354382231312
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.3105189492416784
0.9960672886690445
Compiler

Compiled 16 to 16 computations (0% saved)

simplify37.0ms (0.4%)

Memory
-22.2MiB live, 109.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01171030
11421030
21661030
31821030
41921030
52191030
62731030
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(approx (/ beta (+ beta 2)) (*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) #s(literal 1/2 binary64)))

soundness1.4s (15.7%)

Memory
-9.6MiB live, 1 265.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137616116
1475514487
0825513804
0192217480
1638417010
0815316189
04332500
113942354
245672155
086512014
01044
01644
19144
274844
0905743
039316
070296
1375224
23700220
09680220
0205918395
1706618392
0846517253
055311
093305
1473245
24224242
08105241
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 978 to 526 computations (46.2% saved)

preprocess75.0ms (0.9%)

Memory
-3.2MiB live, 151.2MiB allocated
Compiler

Compiled 1 020 to 206 computations (79.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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