Octave 3.8, jcobi/1

Time bar (total: 9.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
1×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 (16.4%)

Memory
-89.8MiB live, 1 794.9MiB allocated
Samples
527.0ms6 072×0valid
521.0ms1 449×1valid
181.0ms735×2valid
Precisions
Click to see histograms. Total time spent on operations: 979.0ms
ival-div: 449.0ms (45.8% of total)
ival-add: 252.0ms (25.7% of total)
ival-sub: 96.0ms (9.8% of total)
adjust: 88.0ms (9% of total)
ival->: 67.0ms (6.8% of total)
exact: 14.0ms (1.4% of total)
ival-and: 11.0ms (1.1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain218.0ms (2.3%)

Memory
31.8MiB live, 258.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
670-0-(+.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))cancellation670
Confusion
Predicted +Predicted -
+670
-0189
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6700
-00189
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0189
167
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms380×0valid
14.0ms94×1valid
8.0ms38×2valid
Compiler

Compiled 115 to 34 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 9.0ms (31.9% of total)
ival-add: 9.0ms (31.9% of total)
ival-sub: 5.0ms (17.7% of total)
adjust: 4.0ms (14.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess372.0ms (3.9%)

Memory
-18.9MiB live, 213.7MiB allocated
Algorithm
1×egg-herbie
Rules
2 176×lower-fma.f64
2 176×lower-fma.f32
1 384×distribute-rgt-in
1 218×distribute-lft-in
1 056×div-sub
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
1×iter limit
1×saturated
1×iter limit
1×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 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify133.0ms (1.4%)

Memory
3.3MiB live, 81.1MiB allocated
Algorithm
1×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))
Rules
2 176×lower-fma.f64
2 176×lower-fma.f32
880×lower-*.f64
880×lower-*.f32
474×times-frac
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
1×iter limit
1×saturated
1×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 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #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 alpha beta) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(-.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(+.f64 alpha beta)
(+.f64 beta alpha)
#s(literal 2 binary64)
#s(literal 1 binary64)

localize52.0ms (0.6%)

Memory
-12.3MiB live, 53.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 alpha beta)
accuracy0.00390625
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy0.01953125
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy15.469447313519751
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Samples
26.0ms47×1valid
12.0ms190×0valid
4.0ms19×2valid
Compiler

Compiled 50 to 12 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
adjust: 6.0ms (34.7% of total)
ival-add: 5.0ms (28.9% of total)
ival-div: 4.0ms (23.1% of total)
ival-sub: 2.0ms (11.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-13.0MiB live, 23.9MiB allocated
Counts
5 → 120
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>) () ())
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 (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 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 (/ (- (* -1 alpha) (+ 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 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) 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 (/ (+ (* -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))) (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 (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (taylor 0 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 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) (taylor 0 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 (+ (* 1/2 (+ 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))))))))) (taylor 0 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 (+ (* 1/2 (+ 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)))))))))) (taylor 0 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 (* 1/2 (/ (+ 2 (* 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 (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 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 (/ (+ (* 1/2 (+ 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) (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 (/ (+ (* 1/2 (+ 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) (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 (* -1/2 (/ (- (* -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>) () ())) ())
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#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>) () ())) ())
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#s(alt beta (taylor 0 alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (+ beta (* -1 alpha)) (taylor 0 alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (+ beta (* -1 alpha)) (taylor 0 alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (+ beta (* -1 alpha)) (taylor 0 alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 alpha) (taylor inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* alpha (- (/ beta alpha) 1)) (taylor inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* alpha (- (/ beta alpha) 1)) (taylor inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* alpha (- (/ beta alpha) 1)) (taylor inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<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 beta (taylor 0 alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (+ alpha beta) (taylor 0 alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (+ alpha beta) (taylor 0 alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (+ alpha beta) (taylor 0 alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt 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 (+ 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 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 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 beta (taylor inf beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (/ alpha beta))) (taylor inf beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (/ alpha beta))) (taylor inf beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (/ alpha beta))) (taylor inf beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt beta (taylor -inf beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1))) (taylor -inf beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1))) (taylor -inf beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1))) (taylor -inf beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ())
Calls

30 calls:

TimeVariablePointExpression
1.0ms
alpha
@-inf
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
alpha
@0
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
alpha
@inf
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
beta
@inf
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
beta
@0
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)

simplify256.0ms (2.7%)

Memory
12.1MiB live, 398.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 452×lower-fma.f64
9 452×lower-fma.f32
3 796×lower-+.f64
3 796×lower-+.f32
3 596×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04172328
113452185
244321992
084471860
Stop Event
1×iter limit
1×node limit
Counts
120 → 111
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
(+ 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 (/ (- (* -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)))
(* 1/2 (+ 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))))))))))
(* 1/2 (/ (+ 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)
(* -1/2 (/ (- (* -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 (+ 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)))
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))))))
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 (/ 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))))
(/ (+ 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 (/ (- (* -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 (/ 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
(- (+ 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)))))
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 (+ 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)))
-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
(- (* -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)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
Outputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 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) (+.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 beta (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 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)))))))))
(fma.f64 beta (*.f64 #s(literal 1/2 binary64) (fma.f64 beta (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
(+ 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))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) (*.f64 beta (*.f64 beta beta)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #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 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -1 binary64)))) beta)) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
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2
#s(literal 2 binary64)
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#s(literal 2 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64)))) beta)) beta))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 alpha (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64))) (/.f64 beta (+.f64 #s(literal 2 binary64) 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)))
(fma.f64 alpha (fma.f64 alpha (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 alpha alpha)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) 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 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (neg.f64 beta)) alpha))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (neg.f64 beta)) alpha))
(- (* -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)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
(* -1 alpha)
(neg.f64 alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(-.f64 beta (/.f64 (*.f64 alpha beta) beta))
(* beta (+ 1 (* -1 (/ alpha beta))))
(-.f64 beta (/.f64 (*.f64 alpha beta) beta))
(* beta (+ 1 (* -1 (/ alpha beta))))
(-.f64 beta (/.f64 (*.f64 alpha beta) beta))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(-.f64 beta (/.f64 (*.f64 alpha beta) beta))
(* -1 (* beta (- (/ alpha beta) 1)))
(-.f64 beta (/.f64 (*.f64 alpha beta) beta))
(* -1 (* beta (- (/ alpha beta) 1)))
(-.f64 beta (/.f64 (*.f64 alpha beta) beta))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (/ beta alpha) 1))
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha)
(* alpha (- (/ beta alpha) 1))
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha)
(* alpha (- (/ beta alpha) 1))
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha)
(* -1 alpha)
(neg.f64 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha)
beta
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
alpha
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(fma.f64 beta (/.f64 alpha beta) beta)
(* beta (+ 1 (/ alpha beta)))
(fma.f64 beta (/.f64 alpha beta) beta)
(* beta (+ 1 (/ alpha beta)))
(fma.f64 beta (/.f64 alpha beta) beta)
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(fma.f64 (neg.f64 beta) (/.f64 (neg.f64 alpha) beta) beta)
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(fma.f64 (neg.f64 beta) (/.f64 (neg.f64 alpha) beta) beta)
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(fma.f64 (neg.f64 beta) (/.f64 (neg.f64 alpha) beta) beta)

rewrite304.0ms (3.2%)

Memory
26.7MiB live, 453.3MiB allocated
Rules
5 066×lower-fma.f64
5 066×lower-fma.f32
4 410×lower-*.f64
4 410×lower-*.f32
4 264×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01039
01639
19139
274839
0905738
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 379
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)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta 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 alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta 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 alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta 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 alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta 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 alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta 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 alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta 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 alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta 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 alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
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(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 beta beta) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(-.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))))
(-.f64 (/.f64 (*.f64 beta beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha))) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha))))
(-.f64 (/.f64 (*.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(-.f64 (/.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) (/.f64 (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))))
(-.f64 (/.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(fma.f64 beta (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(fma.f64 beta (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(fma.f64 beta (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (*.f64 (+.f64 alpha #s(literal -2 binary64)) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)))))
(fma.f64 alpha (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 alpha (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (*.f64 (+.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)))))
(fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(fma.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))))
(fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) beta (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (neg.f64 alpha)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (neg.f64 alpha) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) beta))
(fma.f64 (neg.f64 alpha) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 (neg.f64 beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(fma.f64 (neg.f64 beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(fma.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(fma.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(fma.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(fma.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(fma.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (neg.f64 (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal 2 binary64)) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) beta (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64))))
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) alpha (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 beta #s(literal -2 binary64))))
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 beta alpha) (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) #s(literal -2 binary64)))
(fma.f64 (neg.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha)) (*.f64 (-.f64 beta alpha) (+.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (fma.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (-.f64 beta alpha) (+.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (-.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (/.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)))
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (neg.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (neg.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha)))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha beta)))
(/.f64 (fma.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 alpha beta)) (neg.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))))
(/.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 alpha beta)) (neg.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
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(/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
(/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 beta alpha))
(/.f64 (-.f64 (*.f64 beta (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha)))
(/.f64 (-.f64 (*.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (neg.f64 alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (-.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) beta) alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) beta) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) beta) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) beta) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) beta) (neg.f64 alpha))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
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(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta alpha))))
(/.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 alpha beta)) (neg.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 alpha beta)) (neg.f64 (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 beta (neg.f64 alpha))))))
(/.f64 (*.f64 (fma.f64 alpha alpha (*.f64 beta (+.f64 beta alpha))) (-.f64 alpha beta)) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (+.f64 beta alpha)))))
(/.f64 (-.f64 (*.f64 (*.f64 beta (*.f64 beta beta)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (-.f64 (*.f64 (*.f64 beta beta) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (*.f64 alpha alpha))) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))
(/.f64 (neg.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 alpha beta))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
(/.f64 (neg.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 alpha beta))) (neg.f64 (neg.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 alpha alpha (*.f64 beta (+.f64 beta alpha))) (-.f64 alpha beta))) (fma.f64 alpha alpha (*.f64 beta (+.f64 beta alpha))))
(/.f64 (fma.f64 alpha (neg.f64 (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta))) (fma.f64 alpha alpha (-.f64 (*.f64 beta beta) (*.f64 beta (neg.f64 alpha)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (/.f64 (*.f64 beta (*.f64 beta beta)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (fma.f64 (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (*.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 beta beta) (+.f64 beta alpha)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta alpha)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 beta beta) (+.f64 beta alpha)) (/.f64 (*.f64 beta beta) (+.f64 beta alpha)) (fma.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta alpha)) (/.f64 (*.f64 alpha alpha) (+.f64 beta alpha)) (*.f64 (/.f64 (*.f64 beta beta) (+.f64 beta alpha)) (/.f64 (*.f64 alpha alpha) (+.f64 beta alpha))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (/.f64 (*.f64 beta (*.f64 beta beta)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))) (*.f64 (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))) (+.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (+.f64 beta alpha)) (/.f64 (*.f64 beta beta) (+.f64 beta alpha))) (*.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta alpha)) (/.f64 (*.f64 alpha alpha) (+.f64 beta alpha)))) (+.f64 (/.f64 (*.f64 beta beta) (+.f64 beta alpha)) (/.f64 (*.f64 alpha alpha) (+.f64 beta alpha))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)) #s(literal -1 binary64))
(*.f64 (-.f64 beta alpha) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 beta alpha))
(*.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(*.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 beta (neg.f64 alpha))))))
(*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 beta alpha))))
(*.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)))
(*.f64 #s(literal -1 binary64) (-.f64 alpha beta))
(*.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 alpha beta)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))))
(*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))
(*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (*.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (-.f64 alpha beta))
(*.f64 (/.f64 (+.f64 beta alpha) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))))
(*.f64 (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (-.f64 alpha beta))))
(+.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (neg.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta))))
(-.f64 beta (neg.f64 alpha))
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 beta alpha)))
(fma.f64 #s(literal 1 binary64) alpha beta)
(fma.f64 (*.f64 alpha alpha) (/.f64 #s(literal 1 binary64) (-.f64 alpha beta)) (neg.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta))))
(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) beta)
(neg.f64 (neg.f64 (+.f64 beta alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 beta alpha))) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))))
(/.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))
(/.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))) (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (-.f64 alpha beta))
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (-.f64 beta alpha))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta alpha))))
(/.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (neg.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))))
(/.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (neg.f64 (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 beta alpha)))))
(/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (*.f64 (-.f64 alpha beta) (*.f64 beta beta))) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))))) (neg.f64 (neg.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (fma.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) (*.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))))))
(/.f64 (-.f64 (*.f64 beta (*.f64 beta beta)) (neg.f64 (*.f64 alpha (*.f64 alpha alpha)))) (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 beta alpha))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta))) (*.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))) (+.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 beta alpha))
(*.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))))
(*.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 beta alpha)))))
(*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (/.f64 #s(literal 1 binary64) (-.f64 alpha beta)))
(*.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)))
(*.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha))))
(*.f64 (/.f64 (+.f64 beta alpha) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))))
(*.f64 (/.f64 (+.f64 beta alpha) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))))) (/.f64 (-.f64 beta alpha) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))))
(*.f64 (/.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)))

eval70.0ms (0.7%)

Memory
18.4MiB live, 167.7MiB allocated
Compiler

Compiled 15 803 to 1 882 computations (88.1% saved)

prune108.0ms (1.1%)

Memory
11.0MiB live, 172.4MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4819490
Fresh000
Picked101
Done000
Total4829491
Accuracy
100.0%
Counts
491 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.8%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
75.5%
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
▶29.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)))
▶73.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
▶26.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha))
26.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha))
28.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
50.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
▶37.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 258 to 172 computations (33.3% saved)

simplify359.0ms (3.8%)

Memory
-37.6MiB live, 623.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
cost-diff0
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha))
cost-diff384
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta))
cost-diff0
(-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)
cost-diff0
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)))
cost-diff384
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64))
cost-diff0
(+.f64 #s(literal 2 binary64) beta)
cost-diff0
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
cost-diff0
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
cost-diff0
(-.f64 beta alpha)
cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
cost-diff0
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Rules
33 948×lower-fma.f32
33 940×lower-fma.f64
3 628×lower-*.f32
3 626×lower-*.f64
2 524×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035251
058251
1119251
2225251
3542247
41718232
08191227
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(-.f64 beta alpha)
beta
alpha
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha #s(literal 2 binary64))
#s(literal 2 binary64)
#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 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
beta
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)
(-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)
(-.f64 #s(literal -2 binary64) alpha)
#s(literal -2 binary64)
alpha
beta
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta))
#s(literal 1/2 binary64)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
beta
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
(-.f64 #s(literal -2 binary64) beta)
#s(literal -2 binary64)
alpha
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
Outputs
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(-.f64 beta alpha)
beta
alpha
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha #s(literal 2 binary64))
#s(literal 2 binary64)
#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 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
beta
(+.f64 #s(literal 2 binary64) beta)
(+.f64 beta #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha alpha)) beta)
(-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)
(-.f64 #s(literal -2 binary64) (+.f64 alpha alpha))
(-.f64 #s(literal -2 binary64) alpha)
#s(literal -2 binary64)
alpha
beta
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 (neg.f64 beta) #s(literal -1 binary64)) alpha) #s(literal 1 binary64))) alpha))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (+.f64 beta (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 (neg.f64 beta) #s(literal -1 binary64)) alpha) #s(literal 1 binary64))) alpha)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta))
(+.f64 beta (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 (neg.f64 beta) #s(literal -1 binary64)) alpha) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(+.f64 #s(literal 2 binary64) beta)
(+.f64 beta #s(literal 2 binary64))
#s(literal 2 binary64)
beta
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
(-.f64 #s(literal -2 binary64) beta)
#s(literal -2 binary64)
alpha
(+.f64 #s(literal 1 binary64) beta)
(+.f64 beta #s(literal 1 binary64))
#s(literal 1 binary64)

localize231.0ms (2.4%)

Memory
-27.0MiB live, 190.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
accuracy0.04296875
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
accuracy0.7838633465652517
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
accuracy46.91701999881638
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha))
accuracy0
(-.f64 #s(literal -2 binary64) alpha)
accuracy0.0078125
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)
accuracy0.01171875
(-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)
accuracy44.969286376026474
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)))
accuracy0
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
accuracy0
(+.f64 #s(literal 2 binary64) beta)
accuracy0.0078125
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
accuracy16.68651524284071
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
accuracy40.20776773743944
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy0
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
accuracy0
(+.f64 alpha #s(literal 2 binary64))
accuracy0.01953125
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy15.464212930622725
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Samples
84.0ms190×0valid
46.0ms19×2valid
22.0ms47×1valid
Compiler

Compiled 217 to 36 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-add: 59.0ms (45.5% of total)
ival-sub: 40.0ms (30.9% of total)
ival-div: 13.0ms (10% of total)
ival-mult: 9.0ms (6.9% of total)
adjust: 7.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory
-1.7MiB live, 74.6MiB allocated
Counts
20 → 396
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (patch (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())
#s(alt (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (patch (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #<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 #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (patch (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 2 binary64) beta) (patch (+.f64 #s(literal 2 binary64) beta) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (patch (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (patch (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (patch (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) #<representation binary64>) () ())
#s(alt (+.f64 alpha #s(literal 2 binary64)) (patch (+.f64 alpha #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (patch (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #<representation binary64>) () ())
Outputs
#s(alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #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)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #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 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #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)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) (taylor inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) (taylor inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) (taylor inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) (taylor -inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) (taylor -inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 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))) (taylor -inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* 1/2 (/ 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 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta))))) (taylor -inf beta) (#s(alt (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (patch (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #<representation binary64>) () ())) ())
Calls

99 calls:

TimeVariablePointExpression
2.0ms
beta
@-inf
(+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta))
1.0ms
alpha
@inf
(+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2)
1.0ms
beta
@inf
(+ (* 1/2 (/ beta (+ 2 beta))) 1/2)
1.0ms
alpha
@0
(+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta))
1.0ms
alpha
@-inf
(+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1)

simplify253.0ms (2.7%)

Memory
50.8MiB live, 426.2MiB allocated
Algorithm
1×egg-herbie
Rules
8 114×lower-fma.f64
8 114×lower-fma.f32
4 964×lower-*.f64
4 964×lower-*.f32
3 634×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06386766
119926315
261416069
084125737
Stop Event
1×iter limit
1×node limit
Counts
396 → 385
Calls
Call 1
Inputs
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 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)))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ 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 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) 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
(- (+ 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)))))
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 (+ 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)))
-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
(- (* -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)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* 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
(+ 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 (/ (- (* -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)))
(* 1/2 (+ 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))))))))))
(* 1/2 (/ (+ 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)
(* -1/2 (/ (- (* -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))
(* 1/2 (- 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
(+ 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 (/ (- (* -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)))
(* 1/2 (+ 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))))))))))
(* 1/2 (/ (+ 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)
(* -1/2 (/ (- (* -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))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
1
(- 1 (/ 1 beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(* 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
(- 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
(- 1 (* 2 (/ 1 beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
2
(+ 2 beta)
(+ 2 beta)
(+ 2 beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(- 1 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(* -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 (/ 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 (/ (+ 2 (* 2 alpha)) beta))
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) 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)))))))))
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 (/ (- (* -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)))
(* 1/2 (+ 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))))))))))
(* 1/2 (/ (+ 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)
(* -1/2 (/ (- (* -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 beta)
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
(* -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 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))))))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
-2
(- (* -2 alpha) 2)
(- (* -2 alpha) 2)
(- (* -2 alpha) 2)
(* -2 alpha)
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(* -2 alpha)
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) 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
(+ 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 (/ (- (* -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)))
(* 1/2 (+ 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))))))))))
(* 1/2 (/ (+ 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)
(* -1/2 (/ (- (* -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 (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(/ -4 alpha)
(- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(* -2 (/ (pow beta 2) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* -2 (/ (pow beta 2) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
2
(+ 2 alpha)
(+ 2 alpha)
(+ 2 alpha)
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
-2
(- (* -1 alpha) 2)
(- (* -1 alpha) 2)
(- (* -1 alpha) 2)
(* -1 alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
-2
(- (* -2 beta) 2)
(- (* -2 beta) 2)
(- (* -2 beta) 2)
(* -2 beta)
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -2 beta)
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
Outputs
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(fma.f64 beta (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (+.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta beta)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta (*.f64 beta beta))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta beta)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #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 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) beta) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (/.f64 (fma.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)))) beta)) beta))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/2 (/ 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 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64)))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)))) alpha)) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)))) alpha)) alpha)) (neg.f64 alpha))
(* -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))))))
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1/2
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#s(literal 1 binary64)
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2
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(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha))
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
(- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))
(fma.f64 (/.f64 beta alpha) #s(literal -6 binary64) (/.f64 #s(literal -4 binary64) alpha))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(fma.f64 beta (fma.f64 beta (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -6 binary64) alpha)) (/.f64 #s(literal -4 binary64) alpha))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(fma.f64 beta (fma.f64 beta (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -6 binary64) alpha)) (/.f64 #s(literal -4 binary64) alpha))
(* -2 (/ (pow beta 2) alpha))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 beta beta) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(*.f64 (*.f64 beta beta) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 6 binary64) (*.f64 alpha beta)))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) beta)))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) beta)))
(* -2 (/ (pow beta 2) alpha))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 beta beta) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(*.f64 (*.f64 beta beta) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 6 binary64) (*.f64 alpha beta)))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) beta)))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) beta)))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha))
2
#s(literal 2 binary64)
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
-2
#s(literal -2 binary64)
(- (* -1 alpha) 2)
(-.f64 #s(literal -2 binary64) alpha)
(- (* -1 alpha) 2)
(-.f64 #s(literal -2 binary64) alpha)
(- (* -1 alpha) 2)
(-.f64 #s(literal -2 binary64) alpha)
(* -1 alpha)
(neg.f64 alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(-.f64 #s(literal -2 binary64) alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(-.f64 #s(literal -2 binary64) alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(-.f64 #s(literal -2 binary64) alpha)
(* -1 alpha)
(neg.f64 alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(-.f64 #s(literal -2 binary64) alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(-.f64 #s(literal -2 binary64) alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(-.f64 #s(literal -2 binary64) alpha)
-2
#s(literal -2 binary64)
(- (* -2 beta) 2)
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
(- (* -2 beta) 2)
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
(- (* -2 beta) 2)
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
(* -2 beta)
(*.f64 beta #s(literal -2 binary64))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
(* -2 beta)
(*.f64 beta #s(literal -2 binary64))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))

rewrite372.0ms (3.9%)

Memory
-23.9MiB live, 386.4MiB allocated
Rules
6 008×lower-*.f32
6 006×lower-*.f64
3 870×lower-/.f32
3 860×lower-/.f64
3 792×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035216
058212
1328212
22889212
08823209
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 546
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(-.f64 beta alpha)
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+.f64 #s(literal 2 binary64) beta)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)
(-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(+.f64 alpha #s(literal 2 binary64))
(-.f64 #s(literal -2 binary64) alpha)
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
Outputs
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta)))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 alpha (-.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 beta #s(literal 2 binary64)) alpha))) (-.f64 (-.f64 beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
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(*.f64 (pow.f64 (/.f64 alpha (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) alpha)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) alpha) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) alpha))))))
(*.f64 (pow.f64 (/.f64 alpha (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (+.f64 beta #s(literal 1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (+.f64 beta #s(literal 1 binary64))))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) beta) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) beta))
(+.f64 (*.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)) (*.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)))
(fma.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)))
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (*.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)))
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) beta (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) beta))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))))
(/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta beta))))
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) alpha)
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))))
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) alpha))
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64)) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (neg.f64 alpha)))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) beta) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 (-.f64 #s(literal 2 binary64) beta) alpha))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 (-.f64 #s(literal 2 binary64) beta) (neg.f64 alpha)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))) (*.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (*.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (-.f64 #s(literal 2 binary64) beta)))
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))) (*.f64 alpha (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (*.f64 alpha (-.f64 #s(literal 2 binary64) beta)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))) (*.f64 (neg.f64 alpha) (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (*.f64 (neg.f64 alpha) (-.f64 #s(literal 2 binary64) beta)))
(/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (neg.f64 alpha))
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta beta))))
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (neg.f64 alpha))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))) (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (-.f64 #s(literal 2 binary64) beta))
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)) (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)) (-.f64 #s(literal 2 binary64) beta))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta beta))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (+.f64 beta #s(literal 2 binary64))) (neg.f64 alpha))
(pow.f64 (/.f64 alpha (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) #s(literal -1 binary64))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha))
(*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (+.f64 beta #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (/.f64 #s(literal 1 binary64) alpha))
(+.f64 alpha #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) alpha)
(-.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 alpha #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (+.f64 alpha alpha)) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal -2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))))
(/.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64)) (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (+.f64 alpha alpha)))
(/.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 alpha alpha) (+.f64 alpha alpha))))
(/.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (+.f64 alpha #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 2 binary64) alpha))
(/.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (+.f64 alpha alpha))))
(/.f64 (neg.f64 (fma.f64 alpha alpha #s(literal -4 binary64))) (neg.f64 (+.f64 alpha #s(literal -2 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (+.f64 alpha alpha)) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 alpha #s(literal -2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (+.f64 alpha alpha))))
(*.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal -2 binary64))))
(+.f64 #s(literal -2 binary64) (neg.f64 alpha))
(+.f64 (neg.f64 alpha) #s(literal -2 binary64))
(-.f64 #s(literal -2 binary64) alpha)
(-.f64 (/.f64 #s(literal -8 binary64) (fma.f64 alpha (+.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (fma.f64 alpha (+.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 alpha #s(literal -2 binary64))) (/.f64 (*.f64 alpha alpha) (+.f64 alpha #s(literal -2 binary64))))
(fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal -8 binary64) (*.f64 alpha (*.f64 alpha alpha)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal -2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha))))
(/.f64 (-.f64 #s(literal -8 binary64) (*.f64 alpha (*.f64 alpha alpha))) (fma.f64 alpha (+.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal -8 binary64) (*.f64 alpha (*.f64 alpha alpha))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 alpha alpha) (*.f64 #s(literal -2 binary64) (neg.f64 alpha)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 alpha #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal -2 binary64) (neg.f64 alpha)))
(/.f64 (neg.f64 (-.f64 #s(literal -8 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (neg.f64 (fma.f64 alpha (+.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (neg.f64 (+.f64 alpha #s(literal -2 binary64))))
(pow.f64 (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal -8 binary64) (*.f64 alpha (*.f64 alpha alpha)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 alpha #s(literal -2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -8 binary64) (*.f64 alpha (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (+.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal -2 binary64))))
(+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta beta)))
(+.f64 #s(literal -2 binary64) (+.f64 (neg.f64 beta) (neg.f64 beta)))
(+.f64 #s(literal -2 binary64) (-.f64 (neg.f64 beta) beta))
(+.f64 (-.f64 #s(literal -2 binary64) beta) (neg.f64 beta))
(+.f64 (neg.f64 beta) (-.f64 #s(literal -2 binary64) beta))
(-.f64 #s(literal -2 binary64) (+.f64 beta beta))
(-.f64 #s(literal -2 binary64) (-.f64 beta (neg.f64 beta)))
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 (*.f64 beta (*.f64 beta beta)) (fma.f64 beta (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 (*.f64 beta beta) (+.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(fma.f64 (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (neg.f64 beta))
(fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -2 binary64))) (neg.f64 beta))
(fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))
(fma.f64 #s(literal -1 binary64) (+.f64 beta #s(literal 2 binary64)) (neg.f64 beta))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (neg.f64 (*.f64 beta (*.f64 beta beta))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))))
(/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (neg.f64 (*.f64 beta (*.f64 beta beta)))) (fma.f64 beta (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (neg.f64 (*.f64 beta (*.f64 beta beta)))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (-.f64 (*.f64 beta beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (neg.f64 beta)))))
(/.f64 (*.f64 (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (+.f64 beta (-.f64 #s(literal -2 binary64) beta)))
(/.f64 (*.f64 (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (-.f64 (-.f64 #s(literal -2 binary64) beta) (neg.f64 beta)))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (neg.f64 (*.f64 beta (*.f64 beta beta))))) (neg.f64 (fma.f64 beta (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (neg.f64 (+.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(/.f64 (-.f64 #s(literal -8 binary64) (*.f64 (*.f64 beta (*.f64 beta beta)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (+.f64 beta beta) (+.f64 beta beta) (*.f64 #s(literal -2 binary64) (+.f64 beta beta)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta beta) (+.f64 beta beta))) (+.f64 #s(literal -2 binary64) (+.f64 beta beta)))
(pow.f64 (/.f64 (fma.f64 beta (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (neg.f64 (*.f64 beta (*.f64 beta beta))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (neg.f64 (*.f64 beta (*.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (fma.f64 beta (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(*.f64 (*.f64 (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (/.f64 #s(literal 1 binary64) (+.f64 beta (-.f64 #s(literal -2 binary64) beta))))

eval175.0ms (1.8%)

Memory
19.9MiB live, 289.4MiB allocated
Compiler

Compiled 24 556 to 2 607 computations (89.4% saved)

prune188.0ms (2%)

Memory
12.9MiB live, 358.7MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New94315958
Fresh314
Picked325
Done000
Total94918967
Accuracy
100.0%
Counts
967 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.5%
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
▶50.3%
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
3.6%
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓73.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
26.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha))
28.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
21.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
▶26.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))))
26.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha))))
13.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha))))
29.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (/.f64 (+.f64 beta (-.f64 #s(literal -1 binary64) alpha)) beta)))
▶29.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
46.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
45.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
47.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
▶50.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
✓37.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
25.6%
#s(approx (+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha))
Compiler

Compiled 495 to 290 computations (41.4% saved)

simplify440.0ms (4.6%)

Memory
-8.6MiB live, 680.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))))
cost-diff256
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))
cost-diff0
(-.f64 #s(literal -2 binary64) alpha)
cost-diff0
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
cost-diff0
#s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
cost-diff0
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) beta)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
cost-diff0
#s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
cost-diff0
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
cost-diff0
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
cost-diff0
(-.f64 beta alpha)
cost-diff0
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
Rules
35 362×lower-fma.f32
35 354×lower-fma.f64
3 514×lower-*.f64
3 514×lower-*.f32
3 206×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049285
071285
1141285
2270281
3714275
42514262
57878262
08661258
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(-.f64 beta alpha)
beta
alpha
(/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
#s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) beta)
#s(literal -1 binary64)
beta
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(/.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(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))
#s(literal 1 binary64)
(/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))
alpha
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)
(-.f64 #s(literal -2 binary64) (+.f64 beta beta))
#s(literal -2 binary64)
(+.f64 beta beta)
beta
(fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(+.f64 beta #s(literal 1 binary64))
Outputs
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(-.f64 beta alpha)
beta
alpha
(/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
#s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) beta)
#s(literal -1 binary64)
beta
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.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) #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
#s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(/.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(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) beta)) alpha))) alpha))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))
(/.f64 (+.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) beta)) alpha))) alpha)
#s(literal 1 binary64)
(/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))
(/.f64 alpha (+.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) beta)) alpha))))
alpha
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))
(+.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) beta)) alpha)))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(-.f64 #s(literal -2 binary64) (+.f64 beta beta))
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
#s(literal -2 binary64)
(+.f64 beta beta)
beta
(fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(+.f64 beta #s(literal 1 binary64))

localize155.0ms (1.6%)

Memory
7.7MiB live, 337.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))
accuracy0.0859375
(/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))
accuracy0.7718147666765746
(/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))
accuracy46.91701999881638
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))))
accuracy0
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
accuracy0
(-.f64 #s(literal -2 binary64) alpha)
accuracy15.464212930622725
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy33.29807026289587
#s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
accuracy0
(/.f64 #s(literal -1 binary64) beta)
accuracy0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
accuracy16.752924355815853
#s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
accuracy44.969286376026474
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
accuracy16.68651524284071
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
accuracy18.86348551827771
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))
accuracy0
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
accuracy0
(+.f64 alpha #s(literal 2 binary64))
accuracy0.0078125
(/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy15.649886677141497
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
Samples
53.0ms190×0valid
38.0ms47×1valid
16.0ms19×2valid
Compiler

Compiled 226 to 45 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-div: 32.0ms (37.9% of total)
ival-add: 27.0ms (31.9% of total)
ival-mult: 10.0ms (11.8% of total)
adjust: 9.0ms (10.6% of total)
ival-sub: 6.0ms (7.1% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory
-21.0MiB live, 57.7MiB allocated
Counts
19 → 384
Calls
Call 1
Inputs
#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (patch (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))) (patch #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) beta) (patch (/.f64 #s(literal -1 binary64) beta) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) (patch #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #<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 (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (patch (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (patch (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 alpha #s(literal 2 binary64)) (patch (+.f64 alpha #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) (taylor 0 beta) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) (taylor 0 beta) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) (taylor 0 beta) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf beta) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) (taylor inf beta) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) (taylor inf beta) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) (taylor inf beta) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf beta) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) (taylor -inf beta) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) (taylor -inf beta) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 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))) (taylor -inf beta) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) (taylor 0 alpha) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) (taylor 0 alpha) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) (taylor 0 alpha) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* 1/2 (/ 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 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) (taylor 0 alpha) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) (taylor inf alpha) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (taylor -inf alpha) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) (taylor -inf alpha) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) (taylor -inf alpha) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) (taylor -inf alpha) (#s(alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 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 beta (taylor inf beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (* -1 (/ alpha beta)))) (taylor inf beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (* -1 (/ alpha beta)))) (taylor inf beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* beta (+ 1 (* -1 (/ alpha beta)))) (taylor inf beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt beta (taylor -inf beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (/ alpha beta) 1))) (taylor -inf beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (/ alpha beta) 1))) (taylor -inf beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 (* beta (- (/ alpha beta) 1))) (taylor -inf beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt beta (taylor 0 alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (+ beta (* -1 alpha)) (taylor 0 alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (+ beta (* -1 alpha)) (taylor 0 alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (+ beta (* -1 alpha)) (taylor 0 alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* -1 alpha) (taylor inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* alpha (- (/ beta alpha) 1)) (taylor inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* alpha (- (/ beta alpha) 1)) (taylor inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ())
#s(alt (* alpha (- (/ beta alpha) 1)) (taylor inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<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 (/ 1/2 (+ 2 alpha)) (taylor 0 beta) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha)))) (taylor 0 beta) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) (taylor 0 beta) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))) (taylor 0 beta) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 beta) (taylor inf beta) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta) (taylor inf beta) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta) (taylor inf beta) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta) (taylor inf beta) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 beta) (taylor -inf beta) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta)) (taylor -inf beta) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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Calls

96 calls:

TimeVariablePointExpression
3.0ms
beta
@0
(/ 1/2 (+ beta (+ alpha 2)))
2.0ms
beta
@-inf
(/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1)))
1.0ms
alpha
@0
(/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1)))
1.0ms
alpha
@0
(/ 1 (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))))
1.0ms
beta
@0
(/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1)))

simplify301.0ms (3.2%)

Memory
43.6MiB live, 426.1MiB allocated
Algorithm
1×egg-herbie
Rules
7 526×lower-fma.f64
7 526×lower-fma.f32
6 206×lower-*.f64
6 206×lower-*.f32
4 262×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09017951
128187399
084187011
Stop Event
1×iter limit
1×node limit
Counts
384 → 375
Calls
Call 1
Inputs
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 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)))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ 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 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 alpha)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(/ 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 beta)
(/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta)
(/ 1/2 beta)
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) 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 alpha)
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha)
(/ 1/2 alpha)
(* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* 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
(+ 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 (/ (- (* -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)))
(* 1/2 (+ 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))))))))))
(* 1/2 (/ (+ 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)
(* -1/2 (/ (- (* -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))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
1
(- 1 (/ 1 beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) 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)))))))))
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 (/ (- (* -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)))
(* 1/2 (+ 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))))))))))
(* 1/2 (/ (+ 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)
(* -1/2 (/ (- (* -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))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(* -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 (/ 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 (/ (+ 2 (* 2 alpha)) beta))
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(/ -1 beta)
(/ (- beta 1) beta)
(/ (- beta 1) beta)
(/ (- beta 1) beta)
1
(- 1 (/ 1 beta))
(- 1 (/ 1 beta))
(- 1 (/ 1 beta))
1
(- 1 (/ 1 beta))
(- 1 (/ 1 beta))
(- 1 (/ 1 beta))
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 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)))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ 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 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) 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
(- (+ 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)))))
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 (+ 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)))
-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
(- (* -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)
(* -1/2 alpha)
(* alpha (- (* 1/4 alpha) 1/2))
(* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))
(* alpha (- (* alpha (+ 1/4 (* alpha (- (* 1/16 alpha) 1/8)))) 1/2))
-1
(- (* 2 (/ 1 alpha)) 1)
(- (* 2 (/ 1 alpha)) (+ 1 (/ 4 (pow alpha 2))))
(- (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))) (+ 1 (/ 4 (pow alpha 2))))
-1
(- (* 2 (/ 1 alpha)) 1)
(- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1)
-2
(- (* -1 alpha) 2)
(- (* -1 alpha) 2)
(- (* -1 alpha) 2)
(* -1 alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ (* -1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ (* -1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) alpha)))) alpha)
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) alpha)))) alpha)
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) alpha)))) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) alpha)) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) alpha)) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) alpha)) alpha))
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)
(/ (+ (* -1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)
(/ (+ (* -1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)
(+ 1 beta)
(+ 1 (+ beta (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) alpha))))
(+ 1 beta)
(+ 1 (+ beta (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) 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
(+ 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 (/ (- (* -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)))
(* 1/2 (+ 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))))))))))
(* 1/2 (/ (+ 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)
(* -1/2 (/ (- (* -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 (/ (pow alpha 2) (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta)))))
(* (pow alpha 2) (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (/ 1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))))))
(* (pow alpha 2) (- (* alpha (- (* -1 (/ (* alpha (* (+ 1 beta) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))))) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (/ 1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))))))
(* (pow alpha 2) (- (* alpha (- (* alpha (- (* -1 (/ (* alpha (* (pow (+ 1 beta) 2) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))) (/ (* (+ 1 beta) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))))) (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta)))))) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (/ 1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))))))
(/ alpha (+ 1 beta))
(* alpha (+ (/ 1 (+ 1 beta)) (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))))
(* alpha (- (+ (/ 1 (+ 1 beta)) (/ (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)) (* (pow alpha 2) (pow (+ 1 beta) 3)))) (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2))))))
(* alpha (- (+ (/ 1 (+ 1 beta)) (/ (* (pow (+ 1 (* 1/2 beta)) 3) (pow (+ 2 (* 2 beta)) 3)) (* (pow alpha 3) (pow (+ 1 beta) 4)))) (+ (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))) (* -1 (/ (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)) (* (pow alpha 2) (pow (+ 1 beta) 3)))))))
(/ alpha (+ 1 beta))
(* -1 (* alpha (- (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))) (/ 1 (+ 1 beta)))))
(* -1 (* alpha (- (* -1 (/ (- (/ (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)) (* alpha (pow (+ 1 beta) 3))) (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 1 (* 1/2 beta)) 3) (pow (+ 2 (* 2 beta)) 3)) (* alpha (pow (+ 1 beta) 4)))) (/ (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)) (pow (+ 1 beta) 3))) alpha)) (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))))
(/ alpha (- 1 (* 2 (/ 1 alpha))))
(+ (* -1 (/ (* alpha (* beta (- 1 (* 3 (/ 1 alpha))))) (pow (- 1 (* 2 (/ 1 alpha))) 2))) (/ alpha (- 1 (* 2 (/ 1 alpha)))))
(+ (* beta (- (* beta (- (/ 1 (pow (- 1 (* 2 (/ 1 alpha))) 2)) (* -1 (/ (* alpha (pow (- 1 (* 3 (/ 1 alpha))) 2)) (pow (- 1 (* 2 (/ 1 alpha))) 3))))) (/ (* alpha (- 1 (* 3 (/ 1 alpha)))) (pow (- 1 (* 2 (/ 1 alpha))) 2)))) (/ alpha (- 1 (* 2 (/ 1 alpha)))))
(+ (* beta (- (* beta (- (+ (* beta (- (* 3 (/ 1 (* alpha (pow (- 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (pow (- 1 (* 2 (/ 1 alpha))) 3)) (/ (* (- 1 (* 3 (/ 1 alpha))) (- (/ 1 (pow (- 1 (* 2 (/ 1 alpha))) 2)) (* -1 (/ (* alpha (pow (- 1 (* 3 (/ 1 alpha))) 2)) (pow (- 1 (* 2 (/ 1 alpha))) 3))))) (- 1 (* 2 (/ 1 alpha))))))) (/ 1 (pow (- 1 (* 2 (/ 1 alpha))) 2))) (* -1 (/ (* alpha (pow (- 1 (* 3 (/ 1 alpha))) 2)) (pow (- 1 (* 2 (/ 1 alpha))) 3))))) (/ (* alpha (- 1 (* 3 (/ 1 alpha)))) (pow (- 1 (* 2 (/ 1 alpha))) 2)))) (/ alpha (- 1 (* 2 (/ 1 alpha)))))
(* -1 (/ (pow alpha 2) (pow beta 2)))
(/ (+ (* -1 (/ (* (pow alpha 3) (- 1 (* 3 (/ 1 alpha)))) beta)) (* -1 (pow alpha 2))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) (* (pow alpha 4) (pow (- 1 (* 3 (/ 1 alpha))) 2))) (pow beta 2))) (* -1 (pow alpha 2))) (/ (* (pow alpha 3) (- 1 (* 3 (/ 1 alpha)))) beta)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* alpha (* (+ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) (* (pow alpha 4) (pow (- 1 (* 3 (/ 1 alpha))) 2))) (- 1 (* 3 (/ 1 alpha))))) (* (pow alpha 4) (* (- 1 (* 2 (/ 1 alpha))) (- 1 (* 3 (/ 1 alpha)))))) (pow beta 3))) (* -1 (pow alpha 2))) (+ (/ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) (pow beta 2)) (+ (/ (* (pow alpha 3) (- 1 (* 3 (/ 1 alpha)))) beta) (/ (* (pow alpha 4) (pow (- 1 (* 3 (/ 1 alpha))) 2)) (pow beta 2))))) (pow beta 2))
(* -1 (/ (pow alpha 2) (pow beta 2)))
(/ (+ (* -1 (pow alpha 2)) (/ (* (pow alpha 3) (- (* 3 (/ 1 alpha)) 1)) beta)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (/ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) beta) (/ (* (pow alpha 4) (pow (- (* 3 (/ 1 alpha)) 1) 2)) beta)) (* (pow alpha 3) (- (* 3 (/ 1 alpha)) 1))) beta)) (* -1 (pow alpha 2))) (pow beta 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* alpha (* (+ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) (* (pow alpha 4) (pow (- (* 3 (/ 1 alpha)) 1) 2))) (- (* 3 (/ 1 alpha)) 1))) beta) (/ (* (pow alpha 4) (* (- 1 (* 2 (/ 1 alpha))) (- (* 3 (/ 1 alpha)) 1))) beta)) (+ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) (* (pow alpha 4) (pow (- (* 3 (/ 1 alpha)) 1) 2)))) beta)) (* (pow alpha 3) (- (* 3 (/ 1 alpha)) 1))) beta)) (* -1 (pow alpha 2))) (pow beta 2))
2
(+ 2 alpha)
(+ 2 alpha)
(+ 2 alpha)
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
Outputs
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (+.f64 (/.f64 (neg.f64 alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (-.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (neg.f64 alpha) (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (neg.f64 alpha) (-.f64 #s(literal -2 binary64) alpha)) beta) (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (/.f64 (+.f64 (neg.f64 alpha) (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 (neg.f64 alpha) (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta (*.f64 beta beta))) (/.f64 (+.f64 (neg.f64 alpha) (-.f64 #s(literal -2 binary64) alpha)) beta)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (/.f64 (+.f64 (neg.f64 alpha) (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (neg.f64 alpha) (-.f64 #s(literal -2 binary64) alpha)) beta) #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 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (/.f64 (+.f64 (neg.f64 alpha) (-.f64 #s(literal -2 binary64) alpha)) beta) (*.f64 #s(literal -1/2 binary64) (+.f64 (neg.f64 alpha) (-.f64 #s(literal -2 binary64) alpha)))) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (neg.f64 alpha) (-.f64 #s(literal -2 binary64) alpha))) (/.f64 (fma.f64 (+.f64 (neg.f64 alpha) (-.f64 #s(literal -2 binary64) alpha)) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (+.f64 (neg.f64 alpha) (-.f64 #s(literal -2 binary64) alpha))) beta)) beta)) beta))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/2 (/ 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 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
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(- beta alpha)
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beta
(* beta (+ 1 (* -1 (/ alpha beta))))
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beta
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(* -1 (* beta (- (/ alpha beta) 1)))
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beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(* -1 alpha)
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(* alpha (- (/ beta alpha) 1))
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(/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) beta)) beta)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta)
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(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta)
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(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta))
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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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(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)
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(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha)
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(/ 1/2 alpha)
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))
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(+ 2 (+ alpha beta))
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(+ 2 (+ alpha beta))
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(+ 2 (+ alpha beta))
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beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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beta
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(+ 2 (+ alpha beta))
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(+ 2 (+ alpha beta))
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alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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alpha
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
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1
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
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(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
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#s(literal 1 binary64)
(- 1 (/ 1 beta))
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(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
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1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
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(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
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(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
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(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
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1
#s(literal 1 binary64)
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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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 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
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1
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(+ 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
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
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(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
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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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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 beta #s(literal 1 binary64))) 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)
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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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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (neg.f64 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))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha)) (neg.f64 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))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 beta (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))))) alpha)) alpha)) (neg.f64 alpha))
(* -1 (/ (pow alpha 2) (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta)))))
(/.f64 (*.f64 alpha alpha) (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64)))))
(* (pow alpha 2) (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (/ 1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))))))
(*.f64 (*.f64 alpha alpha) (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))))) (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))))))
(* (pow alpha 2) (- (* alpha (- (* -1 (/ (* alpha (* (+ 1 beta) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))))) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (/ 1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))))))
(*.f64 (*.f64 alpha alpha) (fma.f64 alpha (neg.f64 (fma.f64 (fma.f64 alpha beta alpha) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))))) (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))))) (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64)))))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))))))
(* (pow alpha 2) (- (* alpha (- (* alpha (- (* -1 (/ (* alpha (* (pow (+ 1 beta) 2) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))) (/ (* (+ 1 beta) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))))) (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta)))))) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (/ 1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))))))
(*.f64 (*.f64 alpha alpha) (fma.f64 alpha (-.f64 (*.f64 alpha (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))))) (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64)))))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64)))))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))))) (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))))) (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))))))
(/ alpha (+ 1 beta))
(/.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* alpha (+ (/ 1 (+ 1 beta)) (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))))
(fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
(* alpha (- (+ (/ 1 (+ 1 beta)) (/ (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)) (* (pow alpha 2) (pow (+ 1 beta) 3)))) (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2))))))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 1 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))))))
(* alpha (- (+ (/ 1 (+ 1 beta)) (/ (* (pow (+ 1 (* 1/2 beta)) 3) (pow (+ 2 (* 2 beta)) 3)) (* (pow alpha 3) (pow (+ 1 beta) 4)))) (+ (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))) (* -1 (/ (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)) (* (pow alpha 2) (pow (+ 1 beta) 3)))))))
(*.f64 alpha (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/8 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (*.f64 (*.f64 alpha alpha) (*.f64 alpha (pow.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 1 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64)))) (neg.f64 (*.f64 alpha (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))))))))
(/ alpha (+ 1 beta))
(/.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* -1 (* alpha (- (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))) (/ 1 (+ 1 beta)))))
(neg.f64 (*.f64 alpha (+.f64 (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)))) (/.f64 #s(literal -1 binary64) (+.f64 beta #s(literal 1 binary64))))))
(* -1 (* alpha (- (* -1 (/ (- (/ (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)) (* alpha (pow (+ 1 beta) 3))) (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))))
(neg.f64 (*.f64 alpha (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64)))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))) (neg.f64 alpha)) (/.f64 #s(literal -1 binary64) (+.f64 beta #s(literal 1 binary64))))))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 1 (* 1/2 beta)) 3) (pow (+ 2 (* 2 beta)) 3)) (* alpha (pow (+ 1 beta) 4)))) (/ (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)) (pow (+ 1 beta) 3))) alpha)) (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))))
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/8 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (*.f64 alpha (pow.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64)))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))))) (neg.f64 alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))) (neg.f64 alpha)) (/.f64 #s(literal -1 binary64) (+.f64 beta #s(literal 1 binary64)))))
(/ alpha (- 1 (* 2 (/ 1 alpha))))
(/.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
(+ (* -1 (/ (* alpha (* beta (- 1 (* 3 (/ 1 alpha))))) (pow (- 1 (* 2 (/ 1 alpha))) 2))) (/ alpha (- 1 (* 2 (/ 1 alpha)))))
(-.f64 (/.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) (/.f64 (*.f64 alpha (+.f64 beta (*.f64 beta (/.f64 #s(literal -3 binary64) alpha)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))))
(+ (* beta (- (* beta (- (/ 1 (pow (- 1 (* 2 (/ 1 alpha))) 2)) (* -1 (/ (* alpha (pow (- 1 (* 3 (/ 1 alpha))) 2)) (pow (- 1 (* 2 (/ 1 alpha))) 3))))) (/ (* alpha (- 1 (* 3 (/ 1 alpha)))) (pow (- 1 (* 2 (/ 1 alpha))) 2)))) (/ alpha (- 1 (* 2 (/ 1 alpha)))))
(fma.f64 beta (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (+.f64 alpha (*.f64 alpha (/.f64 #s(literal -3 binary64) alpha)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))))) (*.f64 (neg.f64 alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))))) (/.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))
(+ (* beta (- (* beta (- (+ (* beta (- (* 3 (/ 1 (* alpha (pow (- 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (pow (- 1 (* 2 (/ 1 alpha))) 3)) (/ (* (- 1 (* 3 (/ 1 alpha))) (- (/ 1 (pow (- 1 (* 2 (/ 1 alpha))) 2)) (* -1 (/ (* alpha (pow (- 1 (* 3 (/ 1 alpha))) 2)) (pow (- 1 (* 2 (/ 1 alpha))) 3))))) (- 1 (* 2 (/ 1 alpha))))))) (/ 1 (pow (- 1 (* 2 (/ 1 alpha))) 2))) (* -1 (/ (* alpha (pow (- 1 (* 3 (/ 1 alpha))) 2)) (pow (- 1 (* 2 (/ 1 alpha))) 3))))) (/ (* alpha (- 1 (* 3 (/ 1 alpha)))) (pow (- 1 (* 2 (/ 1 alpha))) 2)))) (/ alpha (- 1 (* 2 (/ 1 alpha)))))
(fma.f64 beta (fma.f64 beta (fma.f64 beta (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (+.f64 alpha (*.f64 alpha (/.f64 #s(literal -3 binary64) alpha)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (+.f64 alpha (*.f64 alpha (/.f64 #s(literal -3 binary64) alpha)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))))) (*.f64 (neg.f64 alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))))) (/.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))
(* -1 (/ (pow alpha 2) (pow beta 2)))
(/.f64 (*.f64 alpha alpha) (*.f64 (neg.f64 beta) beta))
(/ (+ (* -1 (/ (* (pow alpha 3) (- 1 (* 3 (/ 1 alpha)))) beta)) (* -1 (pow alpha 2))) (pow beta 2))
(/.f64 (neg.f64 (fma.f64 (*.f64 alpha (*.f64 alpha alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) beta) (*.f64 alpha alpha))) (*.f64 beta beta))
(/ (- (+ (* -1 (/ (+ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) (* (pow alpha 4) (pow (- 1 (* 3 (/ 1 alpha))) 2))) (pow beta 2))) (* -1 (pow alpha 2))) (/ (* (pow alpha 3) (- 1 (* 3 (/ 1 alpha)))) beta)) (pow beta 2))
(/.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha (/.f64 (fma.f64 alpha (*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (pow.f64 alpha #s(literal 4 binary64))))) (*.f64 beta beta)))) (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha (*.f64 alpha (/.f64 #s(literal -3 binary64) alpha)))) beta)) (*.f64 beta beta))
(/ (- (+ (* -1 (/ (+ (* alpha (* (+ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) (* (pow alpha 4) (pow (- 1 (* 3 (/ 1 alpha))) 2))) (- 1 (* 3 (/ 1 alpha))))) (* (pow alpha 4) (* (- 1 (* 2 (/ 1 alpha))) (- 1 (* 3 (/ 1 alpha)))))) (pow beta 3))) (* -1 (pow alpha 2))) (+ (/ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) (pow beta 2)) (+ (/ (* (pow alpha 3) (- 1 (* 3 (/ 1 alpha)))) beta) (/ (* (pow alpha 4) (pow (- 1 (* 3 (/ 1 alpha))) 2)) (pow beta 2))))) (pow beta 2))
(/.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (fma.f64 alpha (fma.f64 alpha (*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (pow.f64 alpha #s(literal 4 binary64))))) (*.f64 (pow.f64 alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))) (*.f64 beta (*.f64 beta beta))))) (fma.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) beta)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (pow.f64 alpha #s(literal 4 binary64)))) (*.f64 beta beta)))) (*.f64 beta beta))
(* -1 (/ (pow alpha 2) (pow beta 2)))
(/.f64 (*.f64 alpha alpha) (*.f64 (neg.f64 beta) beta))
(/ (+ (* -1 (pow alpha 2)) (/ (* (pow alpha 3) (- (* 3 (/ 1 alpha)) 1)) beta)) (pow beta 2))
(/.f64 (-.f64 (*.f64 (*.f64 alpha (*.f64 alpha alpha)) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64)) beta)) (*.f64 alpha alpha)) (*.f64 beta beta))
(/ (+ (* -1 (/ (- (+ (/ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) beta) (/ (* (pow alpha 4) (pow (- (* 3 (/ 1 alpha)) 1) 2)) beta)) (* (pow alpha 3) (- (* 3 (/ 1 alpha)) 1))) beta)) (* -1 (pow alpha 2))) (pow beta 2))
(/.f64 (neg.f64 (fma.f64 alpha alpha (/.f64 (fma.f64 alpha (*.f64 (*.f64 alpha alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)) (fma.f64 (pow.f64 alpha #s(literal 4 binary64)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64))) beta) (*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal -3 binary64) alpha) #s(literal 1 binary64))))) beta))) (*.f64 beta beta))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* alpha (* (+ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) (* (pow alpha 4) (pow (- (* 3 (/ 1 alpha)) 1) 2))) (- (* 3 (/ 1 alpha)) 1))) beta) (/ (* (pow alpha 4) (* (- 1 (* 2 (/ 1 alpha))) (- (* 3 (/ 1 alpha)) 1))) beta)) (+ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) (* (pow alpha 4) (pow (- (* 3 (/ 1 alpha)) 1) 2)))) beta)) (* (pow alpha 3) (- (* 3 (/ 1 alpha)) 1))) beta)) (* -1 (pow alpha 2))) (pow beta 2))
(/.f64 (neg.f64 (fma.f64 alpha alpha (/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 alpha #s(literal 4 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64))) beta) (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64)) (pow.f64 alpha #s(literal 4 binary64))) (*.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))) (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64)) alpha)) beta) (fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64)) (pow.f64 alpha #s(literal 4 binary64))) (*.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))))) (neg.f64 beta)) (*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal -3 binary64) alpha) #s(literal 1 binary64)))) beta))) (*.f64 beta beta))
2
#s(literal 2 binary64)
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha)
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha)
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha)
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha)
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha)
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha)

rewrite320.0ms (3.4%)

Memory
-21.9MiB live, 345.7MiB allocated
Rules
4 456×lower-/.f32
4 444×lower-/.f64
3 200×lower-*.f64
3 200×lower-*.f32
2 736×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049247
071247
1403243
23648227
09312223
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 424
Calls
Call 1
Inputs
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(-.f64 beta alpha)
(/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
#s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 #s(literal -1 binary64) beta)
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
(-.f64 #s(literal -2 binary64) alpha)
(/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))))
(/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))
(+.f64 alpha #s(literal 2 binary64))
Outputs
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.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 beta alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta)))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal 1/2 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta) alpha))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta) alpha) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta) alpha))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta) alpha)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta) alpha) #s(literal 1 binary64))))
(/.f64 (/.f64 alpha (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta)) #s(literal 1 binary64))
(/.f64 (neg.f64 alpha) (neg.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta)))
(/.f64 (neg.f64 alpha) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta))))
(/.f64 (neg.f64 alpha) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta))))
(/.f64 (/.f64 (neg.f64 alpha) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 alpha)) (neg.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta))))
(/.f64 (neg.f64 (neg.f64 alpha)) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta)))))
(/.f64 (*.f64 alpha #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta))
(/.f64 (neg.f64 (neg.f64 (neg.f64 alpha))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta)))))
(/.f64 (neg.f64 (*.f64 alpha #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta)))
(pow.f64 (/.f64 alpha (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta)) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta) alpha) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta) alpha) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 alpha (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta)))
(*.f64 alpha (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta))) #s(literal -1 binary64)))
(*.f64 (/.f64 alpha (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta)) #s(literal 1 binary64))
(*.f64 (neg.f64 alpha) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta)) alpha)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta)) (pow.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)))
(*.f64 (/.f64 alpha (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 alpha (*.f64 alpha alpha))) (*.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))) (fma.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 alpha #s(literal -1/2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 1/2 binary64)) #s(literal -2 binary64))) (*.f64 alpha alpha))))
(*.f64 (/.f64 alpha (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 1/2 binary64)) #s(literal -2 binary64))) (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))) (-.f64 (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 alpha #s(literal -1/2 binary64))) (+.f64 beta #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta))))
(*.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 alpha (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) beta)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+.f64 alpha #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) alpha)
(-.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 alpha #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha alpha (-.f64 #s(literal 4 binary64) (+.f64 alpha alpha))) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal -2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 alpha alpha (-.f64 #s(literal 4 binary64) (+.f64 alpha alpha))) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 alpha #s(literal -2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)))))
(/.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64)) (fma.f64 alpha alpha (-.f64 #s(literal 4 binary64) (+.f64 alpha alpha))))
(/.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 alpha alpha) (+.f64 alpha alpha))))
(/.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (+.f64 alpha #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 2 binary64) alpha))
(/.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))) (neg.f64 (fma.f64 alpha alpha (-.f64 #s(literal 4 binary64) (+.f64 alpha alpha)))))
(/.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 alpha alpha) (+.f64 alpha alpha)))))
(/.f64 (neg.f64 (fma.f64 alpha alpha #s(literal -4 binary64))) (neg.f64 (+.f64 alpha #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (neg.f64 (-.f64 #s(literal 2 binary64) alpha)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 alpha alpha (-.f64 #s(literal 4 binary64) (+.f64 alpha alpha))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha alpha #s(literal -4 binary64)))) (neg.f64 (neg.f64 (+.f64 alpha #s(literal -2 binary64)))))
(pow.f64 (/.f64 (fma.f64 alpha alpha (-.f64 #s(literal 4 binary64) (+.f64 alpha alpha))) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 alpha #s(literal -2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 alpha alpha (-.f64 #s(literal 4 binary64) (+.f64 alpha alpha)))))
(*.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal -2 binary64))))

eval137.0ms (1.4%)

Memory
0.1MiB live, 230.6MiB allocated
Compiler

Compiled 20 130 to 2 136 computations (89.4% saved)

prune135.0ms (1.4%)

Memory
17.2MiB live, 264.8MiB allocated
Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New7945799
Fresh3811
Picked145
Done022
Total79819817
Accuracy
100.0%
Counts
817 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓75.5%
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓50.3%
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶49.4%
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
48.7%
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
3.6%
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓73.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
28.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
▶21.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
28.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha #s(approx (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1)) (+.f64 beta #s(literal 1 binary64))))))
▶83.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))))))
26.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha))))
13.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha))))
29.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (/.f64 (+.f64 beta (-.f64 #s(literal -1 binary64) alpha)) beta)))
✓29.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
46.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
▶45.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
▶47.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
✓50.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
✓37.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 398 to 233 computations (41.5% saved)

simplify288.0ms (3%)

Memory
-5.7MiB live, 338.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
cost-diff0
#s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
cost-diff0
(/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
cost-diff0
(*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
cost-diff0
#s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
cost-diff0
#s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
cost-diff0
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64))
cost-diff0
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))))))
cost-diff384
(fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
cost-diff1024
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)))
Rules
17 726×lower-fma.f32
17 712×lower-fma.f64
3 334×lower-*.f32
3 328×lower-*.f64
3 284×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068503
093503
1209503
2462463
31267437
46155431
08065421
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))))
#s(literal 1 binary64)
#s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))))
(fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
alpha
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)))
(*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64)))
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
beta
(+.f64 beta #s(literal 1 binary64))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))
(fma.f64 alpha beta alpha)
(/.f64 alpha (+.f64 beta #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
beta
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
beta
(fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64))
#s(literal -1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
#s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
(*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
alpha
(fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))
#s(literal 1/4 binary64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
(/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)
#s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
#s(literal 1 binary64)
(/.f64 #s(literal -2 binary64) alpha)
#s(literal -2 binary64)
alpha
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))))))
#s(literal 1 binary64)
#s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))))
#s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))))
(fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
(+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))))
alpha
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)))
(/.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta alpha alpha))
(*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64)))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) beta)
(+.f64 beta #s(literal 2 binary64))
#s(literal 2 binary64)
beta
(+.f64 beta #s(literal 1 binary64))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))
(fma.f64 alpha (*.f64 beta (+.f64 beta #s(literal 2 binary64))) alpha)
(fma.f64 alpha beta alpha)
(fma.f64 beta alpha alpha)
(/.f64 alpha (+.f64 beta #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
beta
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
beta
(fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64))
#s(literal -1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64))
#s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
#s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
(*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
alpha
(fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))
#s(literal 1/4 binary64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
(/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)
#s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
#s(literal 1 binary64)
(/.f64 #s(literal -2 binary64) alpha)
#s(literal -2 binary64)
alpha

localize319.0ms (3.4%)

Memory
-5.5MiB live, 476.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
accuracy0.7838633465652517
(/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)
accuracy22.011102741815414
#s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
accuracy46.91701999881638
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
accuracy0.00390625
(*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
accuracy15.464212930622725
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy20.82480172144788
#s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
accuracy33.29807026289587
#s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
accuracy0
(fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64))
accuracy0.00390625
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
accuracy16.68651524284071
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
accuracy22.21812164762029
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
accuracy0
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
accuracy16.68651524284071
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
accuracy21.303789934367135
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
accuracy0.109375
(fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
accuracy11.871002337087841
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)))
accuracy45.95836974513016
#s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))))
accuracy46.91701999881638
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))))))
Samples
110.0ms190×0valid
104.0ms47×1valid
24.0ms19×2valid
Compiler

Compiled 306 to 65 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-div: 117.0ms (58.3% of total)
ival-add: 39.0ms (19.4% of total)
ival-mult: 23.0ms (11.5% of total)
adjust: 14.0ms (7% of total)
ival-sub: 7.0ms (3.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.4%)

Memory
-5.0MiB live, 107.5MiB allocated
Counts
20 → 384
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())
#s(alt (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) (patch (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (patch #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (patch (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) (patch #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64)))) (patch #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (patch (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha) (patch (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) (patch #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) #<representation binary64>) () ())
#s(alt #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))) (patch #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))) #<representation binary64>) () ())
Outputs
#s(alt (/ 2 alpha) (taylor 0 beta) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ beta alpha)) (* 2 (/ 1 alpha))) (taylor 0 beta) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 alpha) (taylor inf beta) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 alpha) (taylor -inf beta) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 alpha) (/ 1 (* alpha beta))) (taylor -inf beta) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (* alpha beta)) (/ 1 alpha)) beta)) (/ 1 alpha)) beta)) (/ 1 alpha)) (taylor -inf beta) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 beta) (* alpha (+ 1 beta))) (taylor 0 alpha) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 beta) (* alpha (+ 1 beta))) (taylor 0 alpha) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 beta) (* alpha (+ 1 beta))) (taylor 0 alpha) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 beta) (* alpha (+ 1 beta))) (taylor 0 alpha) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 beta) (* alpha (+ 1 beta))) (taylor inf alpha) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 beta) (* alpha (+ 1 beta))) (taylor inf alpha) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 beta) (* alpha (+ 1 beta))) (taylor inf alpha) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 beta) (* alpha (+ 1 beta))) (taylor inf alpha) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 beta) (* alpha (- (* -1 beta) 1)))) (taylor -inf alpha) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 beta) (* alpha (- (* -1 beta) 1)))) (taylor -inf alpha) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 beta) (* alpha (- (* -1 beta) 1)))) (taylor -inf alpha) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 beta) (* alpha (- (* -1 beta) 1)))) (taylor -inf alpha) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (patch (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))) (taylor 0 alpha) (#s(alt (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) (patch (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* 2 (/ 1 (+ 1 beta))) (+ (/ alpha (+ 1 beta)) (/ beta (+ 1 beta)))) (taylor 0 alpha) (#s(alt (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) (patch (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ alpha (+ 1 beta)) (taylor inf alpha) (#s(alt (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) (patch (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ (/ 1 (+ 1 beta)) (+ (/ 2 (* alpha (+ 1 beta))) (/ beta (* alpha (+ 1 beta)))))) (taylor inf alpha) (#s(alt (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) (patch (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ (/ 1 (+ 1 beta)) (+ (/ 2 (* alpha (+ 1 beta))) (/ beta (* alpha (+ 1 beta)))))) (taylor inf alpha) (#s(alt (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) (patch (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* alpha (+ (/ 1 (+ 1 beta)) (+ (/ 2 (* alpha (+ 1 beta))) (/ beta (* alpha (+ 1 beta)))))) (taylor inf alpha) (#s(alt (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) (patch (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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Calls

96 calls:

TimeVariablePointExpression
5.0ms
alpha
@0
(+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1)))
4.0ms
alpha
@inf
(+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1)))
1.0ms
alpha
@0
(/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))
1.0ms
alpha
@-inf
(/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))
1.0ms
alpha
@inf
(/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))

simplify275.0ms (2.9%)

Memory
14.1MiB live, 494.4MiB allocated
Algorithm
1×egg-herbie
Rules
7 154×lower-fma.f64
7 154×lower-fma.f32
5 814×lower-*.f64
5 814×lower-*.f32
4 472×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08718399
127037875
084237420
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(/ 2 alpha)
(+ (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))
(+ (* beta (- (/ beta alpha) (/ 1 alpha))) (* 2 (/ 1 alpha)))
(+ (* beta (- (* beta (+ (* -1 (/ beta alpha)) (/ 1 alpha))) (/ 1 alpha))) (* 2 (/ 1 alpha)))
(/ 1 alpha)
(+ (/ 1 alpha) (/ 1 (* alpha beta)))
(- (+ (/ 1 alpha) (/ 1 (* alpha beta))) (/ 1 (* alpha (pow beta 2))))
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1
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1
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1
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1
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1
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1
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
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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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1/2
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1
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1
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1/2
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1
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1
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
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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))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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(/ (+ (* 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)
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(* -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))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
1
(- 1 (/ 1 beta))
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1/2
(+ 1/2 (* 1/4 beta))
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(* -1/8 (pow beta 2))
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8))
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))
(* -1/8 (pow beta 2))
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8))
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))
1/4
(+ 1/4 (* -1/8 beta))
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(+ 1/4 (* -1/8 beta))
(* -1/8 beta)
(* beta (- (* 1/4 (/ 1 beta)) 1/8))
(* beta (- (* 1/4 (/ 1 beta)) 1/8))
(* beta (- (* 1/4 (/ 1 beta)) 1/8))
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(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta)))))
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1
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1
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(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
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(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) 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
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 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)))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(+ 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 (+ 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)))
-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
(- (* -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)
(* -1/2 alpha)
(* alpha (- (* 1/4 alpha) 1/2))
(* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))
(* alpha (- (* alpha (+ 1/4 (* alpha (- (* 1/16 alpha) 1/8)))) 1/2))
-1
(- (* 2 (/ 1 alpha)) 1)
(- (* 2 (/ 1 alpha)) (+ 1 (/ 4 (pow alpha 2))))
(- (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))) (+ 1 (/ 4 (pow alpha 2))))
-1
(- (* 2 (/ 1 alpha)) 1)
(- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1)
(* -1/2 alpha)
(* alpha (- (* 1/4 alpha) 1/2))
(* alpha (- (* 1/4 alpha) 1/2))
(* alpha (- (* 1/4 alpha) 1/2))
(* 1/4 (pow alpha 2))
(* (pow alpha 2) (- 1/4 (* 1/2 (/ 1 alpha))))
(* (pow alpha 2) (- 1/4 (* 1/2 (/ 1 alpha))))
(* (pow alpha 2) (- 1/4 (* 1/2 (/ 1 alpha))))
(* 1/4 (pow alpha 2))
(* (pow alpha 2) (- 1/4 (* 1/2 (/ 1 alpha))))
(* (pow alpha 2) (- 1/4 (* 1/2 (/ 1 alpha))))
(* (pow alpha 2) (- 1/4 (* 1/2 (/ 1 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
(+ 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 (/ (- (* -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)))
(* 1/2 (+ 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))))))))))
(* 1/2 (/ (+ 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)
(* -1/2 (/ (- (* -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 (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(/ -2 alpha)
(/ (- alpha 2) alpha)
(/ (- alpha 2) alpha)
(/ (- alpha 2) alpha)
1
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
1
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
(* -1 (/ (pow alpha 2) (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta)))))
(* (pow alpha 2) (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (/ 1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))))))
(* (pow alpha 2) (- (* alpha (- (* -1 (/ (* alpha (* (+ 1 beta) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))))) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (/ 1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))))))
(* (pow alpha 2) (- (* alpha (- (* alpha (- (* -1 (/ (* alpha (* (pow (+ 1 beta) 2) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))) (/ (* (+ 1 beta) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))))) (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta)))))) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (/ 1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))))))
(/ alpha (+ 1 beta))
(* alpha (+ (/ 1 (+ 1 beta)) (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))))
(* alpha (- (+ (/ 1 (+ 1 beta)) (/ (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)) (* (pow alpha 2) (pow (+ 1 beta) 3)))) (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2))))))
(* alpha (- (+ (/ 1 (+ 1 beta)) (/ (* (pow (+ 1 (* 1/2 beta)) 3) (pow (+ 2 (* 2 beta)) 3)) (* (pow alpha 3) (pow (+ 1 beta) 4)))) (+ (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))) (* -1 (/ (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)) (* (pow alpha 2) (pow (+ 1 beta) 3)))))))
(/ alpha (+ 1 beta))
(* -1 (* alpha (- (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))) (/ 1 (+ 1 beta)))))
(* -1 (* alpha (- (* -1 (/ (- (/ (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)) (* alpha (pow (+ 1 beta) 3))) (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))))
(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 1 (* 1/2 beta)) 3) (pow (+ 2 (* 2 beta)) 3)) (* alpha (pow (+ 1 beta) 4)))) (/ (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)) (pow (+ 1 beta) 3))) alpha)) (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))))
(/ alpha (- 1 (* 2 (/ 1 alpha))))
(+ (* -1 (/ (* alpha (* beta (- 1 (* 3 (/ 1 alpha))))) (pow (- 1 (* 2 (/ 1 alpha))) 2))) (/ alpha (- 1 (* 2 (/ 1 alpha)))))
(+ (* beta (- (* beta (- (/ 1 (pow (- 1 (* 2 (/ 1 alpha))) 2)) (* -1 (/ (* alpha (pow (- 1 (* 3 (/ 1 alpha))) 2)) (pow (- 1 (* 2 (/ 1 alpha))) 3))))) (/ (* alpha (- 1 (* 3 (/ 1 alpha)))) (pow (- 1 (* 2 (/ 1 alpha))) 2)))) (/ alpha (- 1 (* 2 (/ 1 alpha)))))
(+ (* beta (- (* beta (- (+ (* beta (- (* 3 (/ 1 (* alpha (pow (- 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (pow (- 1 (* 2 (/ 1 alpha))) 3)) (/ (* (- 1 (* 3 (/ 1 alpha))) (- (/ 1 (pow (- 1 (* 2 (/ 1 alpha))) 2)) (* -1 (/ (* alpha (pow (- 1 (* 3 (/ 1 alpha))) 2)) (pow (- 1 (* 2 (/ 1 alpha))) 3))))) (- 1 (* 2 (/ 1 alpha))))))) (/ 1 (pow (- 1 (* 2 (/ 1 alpha))) 2))) (* -1 (/ (* alpha (pow (- 1 (* 3 (/ 1 alpha))) 2)) (pow (- 1 (* 2 (/ 1 alpha))) 3))))) (/ (* alpha (- 1 (* 3 (/ 1 alpha)))) (pow (- 1 (* 2 (/ 1 alpha))) 2)))) (/ alpha (- 1 (* 2 (/ 1 alpha)))))
(* -1 (/ (pow alpha 2) (pow beta 2)))
(/ (+ (* -1 (/ (* (pow alpha 3) (- 1 (* 3 (/ 1 alpha)))) beta)) (* -1 (pow alpha 2))) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) (* (pow alpha 4) (pow (- 1 (* 3 (/ 1 alpha))) 2))) (pow beta 2))) (* -1 (pow alpha 2))) (/ (* (pow alpha 3) (- 1 (* 3 (/ 1 alpha)))) beta)) (pow beta 2))
(/ (- (+ (* -1 (/ (+ (* alpha (* (+ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) (* (pow alpha 4) (pow (- 1 (* 3 (/ 1 alpha))) 2))) (- 1 (* 3 (/ 1 alpha))))) (* (pow alpha 4) (* (- 1 (* 2 (/ 1 alpha))) (- 1 (* 3 (/ 1 alpha)))))) (pow beta 3))) (* -1 (pow alpha 2))) (+ (/ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) (pow beta 2)) (+ (/ (* (pow alpha 3) (- 1 (* 3 (/ 1 alpha)))) beta) (/ (* (pow alpha 4) (pow (- 1 (* 3 (/ 1 alpha))) 2)) (pow beta 2))))) (pow beta 2))
(* -1 (/ (pow alpha 2) (pow beta 2)))
(/ (+ (* -1 (pow alpha 2)) (/ (* (pow alpha 3) (- (* 3 (/ 1 alpha)) 1)) beta)) (pow beta 2))
(/ (+ (* -1 (/ (- (+ (/ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) beta) (/ (* (pow alpha 4) (pow (- (* 3 (/ 1 alpha)) 1) 2)) beta)) (* (pow alpha 3) (- (* 3 (/ 1 alpha)) 1))) beta)) (* -1 (pow alpha 2))) (pow beta 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* alpha (* (+ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) (* (pow alpha 4) (pow (- (* 3 (/ 1 alpha)) 1) 2))) (- (* 3 (/ 1 alpha)) 1))) beta) (/ (* (pow alpha 4) (* (- 1 (* 2 (/ 1 alpha))) (- (* 3 (/ 1 alpha)) 1))) beta)) (+ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) (* (pow alpha 4) (pow (- (* 3 (/ 1 alpha)) 1) 2)))) beta)) (* (pow alpha 3) (- (* 3 (/ 1 alpha)) 1))) beta)) (* -1 (pow alpha 2))) (pow beta 2))
Outputs
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(+ (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))
(-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha))
(+ (* beta (- (/ beta alpha) (/ 1 alpha))) (* 2 (/ 1 alpha)))
(fma.f64 beta (+.f64 (/.f64 beta alpha) (/.f64 #s(literal -1 binary64) alpha)) (/.f64 #s(literal 2 binary64) alpha))
(+ (* beta (- (* beta (+ (* -1 (/ beta alpha)) (/ 1 alpha))) (/ 1 alpha))) (* 2 (/ 1 alpha)))
(fma.f64 beta (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)) (/.f64 #s(literal -1 binary64) alpha)) (/.f64 #s(literal 2 binary64) alpha))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(+ (/ 1 alpha) (/ 1 (* alpha beta)))
(+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)))
(- (+ (/ 1 alpha) (/ 1 (* alpha beta))) (/ 1 (* alpha (pow beta 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
(- (+ (/ 1 alpha) (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 3))))) (/ 1 (* alpha (pow beta 2))))
(+.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta (*.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta))))))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(+ (/ 1 alpha) (/ 1 (* alpha beta)))
(+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)))
(+ (* -1 (/ (- (/ 1 (* alpha beta)) (/ 1 alpha)) beta)) (/ 1 alpha))
(-.f64 (/.f64 #s(literal 1 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta))))
(+ (* -1 (/ (- (* -1 (/ (- (/ 1 (* alpha beta)) (/ 1 alpha)) beta)) (/ 1 alpha)) beta)) (/ 1 alpha))
(-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta))) (/.f64 #s(literal 1 binary64) alpha))) beta))
(/ (+ 2 beta) (* alpha (+ 1 beta)))
(/.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 alpha beta alpha))
(/ (+ 2 beta) (* alpha (+ 1 beta)))
(/.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 alpha beta alpha))
(/ (+ 2 beta) (* alpha (+ 1 beta)))
(/.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 alpha beta alpha))
(/ (+ 2 beta) (* alpha (+ 1 beta)))
(/.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 alpha beta alpha))
(/ (+ 2 beta) (* alpha (+ 1 beta)))
(/.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 alpha beta alpha))
(/ (+ 2 beta) (* alpha (+ 1 beta)))
(/.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 alpha beta alpha))
(/ (+ 2 beta) (* alpha (+ 1 beta)))
(/.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 alpha beta alpha))
(/ (+ 2 beta) (* alpha (+ 1 beta)))
(/.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 alpha beta alpha))
(* -1 (/ (+ 2 beta) (* alpha (- (* -1 beta) 1))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 alpha (-.f64 #s(literal -1 binary64) beta)))
(* -1 (/ (+ 2 beta) (* alpha (- (* -1 beta) 1))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 alpha (-.f64 #s(literal -1 binary64) beta)))
(* -1 (/ (+ 2 beta) (* alpha (- (* -1 beta) 1))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 alpha (-.f64 #s(literal -1 binary64) beta)))
(* -1 (/ (+ 2 beta) (* alpha (- (* -1 beta) 1))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 alpha (-.f64 #s(literal -1 binary64) beta)))
(+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta)))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 1 binary64))) (/.f64 beta (+.f64 beta #s(literal 1 binary64))))
(+ (* 2 (/ 1 (+ 1 beta))) (+ (/ alpha (+ 1 beta)) (/ beta (+ 1 beta))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 1 binary64))) (+.f64 (/.f64 beta (+.f64 beta #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))))
(+ (* 2 (/ 1 (+ 1 beta))) (+ (/ alpha (+ 1 beta)) (/ beta (+ 1 beta))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 1 binary64))) (+.f64 (/.f64 beta (+.f64 beta #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))))
(+ (* 2 (/ 1 (+ 1 beta))) (+ (/ alpha (+ 1 beta)) (/ beta (+ 1 beta))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 1 binary64))) (+.f64 (/.f64 beta (+.f64 beta #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))))
(/ alpha (+ 1 beta))
(/.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* alpha (+ (/ 1 (+ 1 beta)) (+ (/ 2 (* alpha (+ 1 beta))) (/ beta (* alpha (+ 1 beta))))))
(fma.f64 alpha (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 alpha beta alpha)) (/.f64 beta (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
(* alpha (+ (/ 1 (+ 1 beta)) (+ (/ 2 (* alpha (+ 1 beta))) (/ beta (* alpha (+ 1 beta))))))
(fma.f64 alpha (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 alpha beta alpha)) (/.f64 beta (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
(* alpha (+ (/ 1 (+ 1 beta)) (+ (/ 2 (* alpha (+ 1 beta))) (/ beta (* alpha (+ 1 beta))))))
(fma.f64 alpha (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 alpha beta alpha)) (/.f64 beta (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
(/ alpha (+ 1 beta))
(/.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* -1 (* alpha (- (+ (* 2 (/ 1 (* alpha (- (* -1 beta) 1)))) (/ beta (* alpha (- (* -1 beta) 1)))) (/ 1 (+ 1 beta)))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha (-.f64 #s(literal -1 binary64) beta))) (+.f64 (/.f64 beta (*.f64 alpha (-.f64 #s(literal -1 binary64) beta))) (/.f64 #s(literal -1 binary64) (+.f64 beta #s(literal 1 binary64))))) (neg.f64 alpha))
(* -1 (* alpha (- (+ (* 2 (/ 1 (* alpha (- (* -1 beta) 1)))) (/ beta (* alpha (- (* -1 beta) 1)))) (/ 1 (+ 1 beta)))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha (-.f64 #s(literal -1 binary64) beta))) (+.f64 (/.f64 beta (*.f64 alpha (-.f64 #s(literal -1 binary64) beta))) (/.f64 #s(literal -1 binary64) (+.f64 beta #s(literal 1 binary64))))) (neg.f64 alpha))
(* -1 (* alpha (- (+ (* 2 (/ 1 (* alpha (- (* -1 beta) 1)))) (/ beta (* alpha (- (* -1 beta) 1)))) (/ 1 (+ 1 beta)))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha (-.f64 #s(literal -1 binary64) beta))) (+.f64 (/.f64 beta (*.f64 alpha (-.f64 #s(literal -1 binary64) beta))) (/.f64 #s(literal -1 binary64) (+.f64 beta #s(literal 1 binary64))))) (neg.f64 alpha))
(+ 2 alpha)
(+.f64 #s(literal 2 binary64) alpha)
(+ 2 (+ alpha (* -1 (* beta (+ 1 alpha)))))
(-.f64 (+.f64 #s(literal 2 binary64) alpha) (fma.f64 alpha beta beta))
(+ 2 (+ alpha (* beta (- (* beta (- 1 (* -1 alpha))) (+ 1 alpha)))))
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1
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
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#s(literal 1 binary64)
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1
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(- 1 (* 2 (/ 1 alpha)))
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(* -1 (/ (pow alpha 2) (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta)))))
(/.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)))
(* (pow alpha 2) (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (/ 1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))))))
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(* (pow alpha 2) (- (* alpha (- (* -1 (/ (* alpha (* (+ 1 beta) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))))) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (/ 1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))))))
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(* (pow alpha 2) (- (* alpha (- (* alpha (- (* -1 (/ (* alpha (* (pow (+ 1 beta) 2) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))) (/ (* (+ 1 beta) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))))) (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta)))))) (+ (/ 1 (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2))) (/ beta (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)))))) (/ 1 (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))))))
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(/ alpha (+ 1 beta))
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(* alpha (+ (/ 1 (+ 1 beta)) (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))))
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(* alpha (- (+ (/ 1 (+ 1 beta)) (/ (* (pow (+ 1 (* 1/2 beta)) 3) (pow (+ 2 (* 2 beta)) 3)) (* (pow alpha 3) (pow (+ 1 beta) 4)))) (+ (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))) (* -1 (/ (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)) (* (pow alpha 2) (pow (+ 1 beta) 3)))))))
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(/ alpha (+ 1 beta))
(/.f64 alpha (+.f64 beta #s(literal 1 binary64)))
(* -1 (* alpha (- (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2)))) (/ 1 (+ 1 beta)))))
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(* -1 (* alpha (- (* -1 (/ (- (/ (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)) (* alpha (pow (+ 1 beta) 3))) (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))))
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(* -1 (* alpha (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ 1 (* 1/2 beta)) 3) (pow (+ 2 (* 2 beta)) 3)) (* alpha (pow (+ 1 beta) 4)))) (/ (* (pow (+ 1 (* 1/2 beta)) 2) (pow (+ 2 (* 2 beta)) 2)) (pow (+ 1 beta) 3))) alpha)) (* -1 (/ (* (+ 1 (* 1/2 beta)) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))))
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(/ alpha (- 1 (* 2 (/ 1 alpha))))
(/.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
(+ (* -1 (/ (* alpha (* beta (- 1 (* 3 (/ 1 alpha))))) (pow (- 1 (* 2 (/ 1 alpha))) 2))) (/ alpha (- 1 (* 2 (/ 1 alpha)))))
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(/.f64 (neg.f64 (fma.f64 alpha alpha (/.f64 (fma.f64 alpha (*.f64 (*.f64 alpha alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)) (fma.f64 (pow.f64 alpha #s(literal 4 binary64)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64))) beta) (*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal -3 binary64) alpha) #s(literal 1 binary64))))) beta))) (*.f64 beta beta))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* alpha (* (+ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) (* (pow alpha 4) (pow (- (* 3 (/ 1 alpha)) 1) 2))) (- (* 3 (/ 1 alpha)) 1))) beta) (/ (* (pow alpha 4) (* (- 1 (* 2 (/ 1 alpha))) (- (* 3 (/ 1 alpha)) 1))) beta)) (+ (* (pow alpha 3) (- 1 (* 2 (/ 1 alpha)))) (* (pow alpha 4) (pow (- (* 3 (/ 1 alpha)) 1) 2)))) beta)) (* (pow alpha 3) (- (* 3 (/ 1 alpha)) 1))) beta)) (* -1 (pow alpha 2))) (pow beta 2))
(/.f64 (neg.f64 (fma.f64 alpha alpha (/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 alpha #s(literal 4 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64))) beta) (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64)) (pow.f64 alpha #s(literal 4 binary64))) (*.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))) (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64)) alpha)) beta) (fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64)) (pow.f64 alpha #s(literal 4 binary64))) (*.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))))) (neg.f64 beta)) (*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal -3 binary64) alpha) #s(literal 1 binary64)))) beta))) (*.f64 beta beta))

rewrite266.0ms (2.8%)

Memory
10.3MiB live, 454.0MiB allocated
Rules
4 782×lower-fma.f32
4 768×lower-fma.f64
4 624×lower-*.f32
4 618×lower-*.f64
2 734×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068448
093448
1561448
25405448
08155426
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 243
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)))
(fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))
#s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
(*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
(/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)
#s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
#s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (neg.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))
(neg.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta alpha alpha) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)))))
(/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) beta)) (neg.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(/.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 1 binary64))) (fma.f64 beta alpha alpha))
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (fma.f64 beta (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) beta))) (neg.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 1 binary64)))) (neg.f64 (fma.f64 beta alpha alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 beta alpha alpha)) (+.f64 beta #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (+.f64 beta #s(literal 1 binary64))) (fma.f64 beta alpha alpha))
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))) (fma.f64 beta (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))) (-.f64 #s(literal 2 binary64) beta))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) (+.f64 beta #s(literal 1 binary64)))
(pow.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 beta alpha alpha) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) beta)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))
(*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (/.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 1 binary64))) (pow.f64 (/.f64 (fma.f64 beta alpha alpha) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 beta alpha alpha)))
(*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) (+.f64 #s(literal 2 binary64) beta))
(*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 beta alpha alpha)))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 beta alpha alpha)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta alpha alpha)) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 1 binary64))) (fma.f64 (*.f64 beta alpha) (*.f64 beta (*.f64 beta (*.f64 alpha alpha))) (*.f64 alpha (*.f64 alpha alpha)))) (fma.f64 beta (*.f64 beta (*.f64 alpha alpha)) (*.f64 alpha (-.f64 alpha (*.f64 beta alpha)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (fma.f64 beta alpha alpha) (-.f64 (*.f64 beta alpha) alpha))) (-.f64 (*.f64 beta alpha) alpha))
(*.f64 (pow.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(+.f64 (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))) (-.f64 (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))) (/.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (-.f64 (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(fma.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) alpha) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
(fma.f64 alpha (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
(fma.f64 alpha (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(fma.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) alpha (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
(fma.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 beta alpha alpha)) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
(fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) alpha) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
(fma.f64 (neg.f64 alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 beta))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) alpha) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 1 binary64))) alpha (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(fma.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
(fma.f64 (/.f64 alpha (fma.f64 beta alpha alpha)) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
(fma.f64 (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
(fma.f64 (*.f64 alpha (/.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64)))) (/.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))
(fma.f64 (/.f64 alpha (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64))) (fma.f64 beta (+.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(fma.f64 (/.f64 alpha (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64))) (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(fma.f64 (/.f64 alpha (-.f64 #s(literal 1 binary64) (*.f64 beta beta))) (-.f64 #s(literal 1 binary64) beta) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(fma.f64 (/.f64 alpha (fma.f64 beta beta #s(literal -1 binary64))) (+.f64 beta #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (-.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))) (/.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (fma.f64 beta alpha alpha)) (fma.f64 beta alpha alpha)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 beta alpha alpha) (fma.f64 beta alpha alpha)) (fma.f64 beta alpha alpha)))) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (fma.f64 beta alpha alpha)) (fma.f64 beta alpha alpha)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 beta alpha alpha) (fma.f64 beta alpha alpha)) (fma.f64 beta alpha alpha)))) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))) (fma.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (-.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))) (/.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (fma.f64 beta alpha alpha)) (fma.f64 beta alpha alpha)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 beta alpha alpha) (fma.f64 beta alpha alpha)) (fma.f64 beta alpha alpha)))) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))) (/.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) alpha) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (+.f64 beta #s(literal 1 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))) (-.f64 (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(/.f64 (fma.f64 alpha (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(/.f64 (fma.f64 (neg.f64 alpha) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))
(/.f64 (fma.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)))
(/.f64 (fma.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) alpha)) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (+.f64 beta #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (neg.f64 alpha))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (+.f64 #s(literal -1 binary64) (neg.f64 beta))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (fma.f64 beta alpha alpha)) (fma.f64 beta alpha alpha)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 beta alpha alpha) (fma.f64 beta alpha alpha)) (fma.f64 beta alpha alpha)))) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))))) (neg.f64 (fma.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (-.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))) (/.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))) (neg.f64 (-.f64 (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))) (-.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))
(pow.f64 (/.f64 (fma.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (-.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))) (/.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (fma.f64 beta alpha alpha)) (fma.f64 beta alpha alpha)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 beta alpha alpha) (fma.f64 beta alpha alpha)) (fma.f64 beta alpha alpha)))) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))) #s(literal -1 binary64))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))
(*.f64 alpha (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 1 binary64)))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (fma.f64 beta alpha alpha)) (fma.f64 beta alpha alpha)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 beta alpha alpha) (fma.f64 beta alpha alpha)) (fma.f64 beta alpha alpha)))) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (-.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))) (/.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))))
(exp.f64 (*.f64 (log.f64 #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))))
(pow.f64 #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 alpha (*.f64 alpha alpha))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))))
(/.f64 #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))) #s(literal -1 binary64))
#s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))
(pow.f64 #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha)))))) #s(literal -1 binary64))
(*.f64 #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (+.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 beta alpha alpha) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 beta alpha alpha))))) #s(literal 1 binary64))

eval78.0ms (0.8%)

Memory
4.3MiB live, 202.1MiB allocated
Compiler

Compiled 16 514 to 1 471 computations (91.1% saved)

prune108.0ms (1.1%)

Memory
6.0MiB live, 165.0MiB allocated
Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New6225627
Fresh268
Picked325
Done156
Total62818646
Accuracy
100.0%
Counts
646 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓75.5%
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
48.7%
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
3.6%
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓73.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
28.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
22.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
28.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha #s(approx (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1)) (+.f64 beta #s(literal 1 binary64))))))
68.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 2 binary64) alpha)))))
37.3%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))))))
13.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha))))
29.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (/.f64 (+.f64 beta (-.f64 #s(literal -1 binary64) alpha)) beta)))
✓29.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
46.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
✓45.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
✓47.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
4.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
✓50.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
✓37.2%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 590 to 227 computations (61.5% saved)

regimes65.0ms (0.7%)

Memory
-0.8MiB live, 42.7MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 2 binary64) alpha)))))
#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) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (/.f64 (+.f64 beta (-.f64 #s(literal -1 binary64) alpha)) beta)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha #s(approx (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1)) (+.f64 beta #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) (fma.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha))) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha))
#s(approx (+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
Calls

5 calls:

27.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
10.0ms
beta
10.0ms
alpha
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 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))
Results
AccuracySegmentsBranch
95.3%2alpha
99.8%2beta
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 45 to 30 computations (33.3% saved)

regimes108.0ms (1.1%)

Memory
-26.3MiB live, 51.2MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 2 binary64) alpha)))))
#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) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (/.f64 (+.f64 beta (-.f64 #s(literal -1 binary64) alpha)) beta)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha #s(approx (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1)) (+.f64 beta #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

4 calls:

53.0ms
beta
40.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 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))
Results
AccuracySegmentsBranch
98.3%2beta
99.7%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.7%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.7%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes27.0ms (0.3%)

Memory
-6.2MiB live, 32.4MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 2 binary64) alpha)))))
#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) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (/.f64 (+.f64 beta (-.f64 #s(literal -1 binary64) alpha)) beta)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha #s(approx (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1)) (+.f64 beta #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
Calls

3 calls:

6.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 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
99.7%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.7%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.7%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory
25.8MiB live, 25.8MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 2 binary64) alpha)))))
#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) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (/.f64 (+.f64 beta (-.f64 #s(literal -1 binary64) alpha)) beta)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha #s(approx (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1)) (+.f64 beta #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))
Outputs
#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 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
Calls

3 calls:

6.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
5.0ms
(/.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
98.3%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.3%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.3%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes32.0ms (0.3%)

Memory
-30.9MiB live, 19.1MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 2 binary64) alpha)))))
#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) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (/.f64 (+.f64 beta (-.f64 #s(literal -1 binary64) alpha)) beta)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
Outputs
#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) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (/.f64 (+.f64 beta (-.f64 #s(literal -1 binary64) alpha)) beta)))
Calls

4 calls:

17.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
5.0ms
beta
5.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
4.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
91.8%2beta
98.0%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.0%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.0%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 2 binary64) alpha)))))
#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) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (/.f64 (+.f64 beta (-.f64 #s(literal -1 binary64) alpha)) beta)))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha (fma.f64 alpha #s(literal 1/4 binary64) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
#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) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 2 binary64) alpha)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (/.f64 (+.f64 beta (-.f64 #s(literal -1 binary64) alpha)) beta)))
Calls

3 calls:

5.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
4.0ms
(/.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 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 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 39 to 26 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 2 binary64) alpha)))))
#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) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
Outputs
#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) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 2 binary64) alpha)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
Calls

3 calls:

4.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
4.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
4.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
97.6%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
97.6%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
97.6%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes46.0ms (0.5%)

Memory
-11.5MiB live, 26.1MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 2 binary64) alpha)))))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 2 binary64) alpha)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
Calls

5 calls:

30.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
4.0ms
beta
4.0ms
alpha
4.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 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
91.8%2beta
68.9%1alpha
91.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
91.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
91.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory
14.7MiB live, 14.7MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
Calls

4 calls:

4.0ms
beta
3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 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))
3.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
91.7%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
91.7%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
91.7%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
73.2%2beta
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes37.0ms (0.4%)

Memory
-21.1MiB live, 16.3MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

3 calls:

30.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 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
91.5%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
91.5%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
91.5%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 #s(literal -1/2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) (*.f64 alpha #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #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)))
3.0ms
(/.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 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
91.4%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
91.4%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
91.4%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(approx (/ alpha (- -2 alpha)) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

4 calls:

2.0ms
beta
2.0ms
(/.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
72.9%2beta
72.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
72.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
72.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes38.0ms (0.4%)

Memory
-29.5MiB live, 9.8MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64)))))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

4 calls:

33.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms
beta
2.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 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
72.5%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
72.5%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
72.5%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
72.5%2beta
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
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
37.2%1alpha
37.2%1beta
37.2%1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
37.2%1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
37.2%1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 45 to 30 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999994007611792
-7.930246204269836e-11
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999949915
-0.9999994007611792
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999949915
-0.9999994007611792
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999994007611792
-7.930246204269836e-11
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0365780507949854
0.8842866782717912
0.0ms
-0.9999994007611792
-7.930246204269836e-11
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0365780507949854
0.8842866782717912
0.0ms
-0.9999999999949915
-0.9999994007611792
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0365780507949854
0.8842866782717912
0.0ms
-0.9999999999949915
-0.9999994007611792
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch17.0ms (0.2%)

Memory
15.2MiB live, 15.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.07593360484503898
43.683236511344
Samples
5.0ms89×0valid
3.0ms24×1valid
3.0ms15×2valid
Compiler

Compiled 186 to 127 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (28.9% of total)
ival-add: 2.0ms (28.9% of total)
adjust: 1.0ms (14.5% of total)
ival-sub: 1.0ms (14.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0365780507949854
0.8842866782717912
0.0ms
-0.9999994007611792
-7.930246204269836e-11
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0365780507949854
0.8842866782717912
0.0ms
-0.9999994007611792
-7.930246204269836e-11
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0365780507949854
0.8842866782717912
0.0ms
-0.9999994007611792
-7.930246204269836e-11
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch18.0ms (0.2%)

Memory
-36.9MiB live, 8.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.07593360484503898
43.683236511344
Samples
10.0ms40×0valid
2.0ms17×1valid
1.0ms7×2valid
Compiler

Compiled 130 to 95 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 9.0ms (74.5% of total)
ival-div: 1.0ms (8.3% of total)
adjust: 1.0ms (8.3% of total)
ival-add: 1.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0365780507949854
0.8842866782717912
Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify16.0ms (0.2%)

Memory
14.0MiB live, 14.0MiB allocated
Algorithm
1×egg-herbie
Rules
30×+-commutative_binary64
14×sub-neg_binary64
8×*-commutative_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01381162
11571162
21681162
31751162
41791162
51801162
Stop Event
1×saturated
Calls
Call 1
Inputs
(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) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha)))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007194751141365/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #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 -9007194751141365/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #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 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) 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 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (/.f64 (+.f64 beta (-.f64 #s(literal -1 binary64) alpha)) beta)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007194751141365/9007199254740992 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 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 2 binary64) alpha))))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (/.f64 (+.f64 beta (-.f64 #s(literal -1 binary64) alpha)) beta)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007194751141365/9007199254740992 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 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 2 binary64) alpha))))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))))
(if (<=.f64 beta #s(literal 4278419646001971/1125899906842624 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 #s(literal 2 binary64) alpha))))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 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 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 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 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #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 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #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 3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Outputs
(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) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha)))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha)))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007194751141365/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -9007194751141365/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #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 -9007194751141365/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -9007194751141365/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
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(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -9007194751141365/9007199254740992 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 beta alpha) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ (* (/ (- -2 (+ beta beta)) alpha) (+ (* beta 1/2) 1)) (+ beta 1))) #s(approx (+ (* alpha (/ (* (+ 2 beta) (+ beta 1)) (* (+ beta 1) (+ (* alpha beta) alpha)))) (/ alpha (+ beta 1))) (+.f64 alpha #s(literal 2 binary64)))))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (- (- -2 alpha) alpha) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))))
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(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 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 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

soundness1.3s (13.9%)

Memory
15.3MiB live, 689.8MiB allocated
Rules
9 452×lower-fma.f64
9 452×lower-fma.f32
8 114×lower-fma.f64
8 114×lower-fma.f32
7 526×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08718399
127037875
084237420
01039
01639
19139
274839
0905738
06386766
119926315
261416069
084125737
09017951
128187399
084187011
04172328
113452185
244321992
084471860
035216
058212
1328212
22889212
08823209
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 910 to 386 computations (57.6% saved)

preprocess71.0ms (0.7%)

Memory
-6.1MiB live, 185.6MiB allocated
Compiler

Compiled 926 to 158 computations (82.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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