Octave 3.8, jcobi/3

Time bar (total: 10.3s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze3.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%56.2%43.8%0%0%0%0
0%0%56.2%43.8%0%0%0%1
50%28.1%28.1%43.8%0%0%0%2
75%42.1%14%43.8%0%0%0%3
87.5%49.2%7%43.8%0%0%0%4
93.8%52.7%3.5%43.8%0%0%0%5
96.9%54.4%1.8%43.8%0%0%0%6
98.4%55.3%0.9%43.8%0%0%0%7
99.2%55.7%0.4%43.8%0%0%0%8
99.6%56%0.2%43.8%0%0%0%9
99.8%56.1%0.1%43.8%0%0%0%10
99.9%56.1%0.1%43.8%0%0%0%11
100%56.1%0%43.8%0%0%0%12
Compiler

Compiled 43 to 19 computations (55.8% saved)

sample1.4s (14%)

Memory
53.2MiB live, 1 604.4MiB allocated
Samples
984.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 746.0ms
ival-div: 259.0ms (34.7% of total)
ival-add: 222.0ms (29.8% of total)
ival-mult: 190.0ms (25.5% of total)
ival->: 43.0ms (5.8% of total)
exact: 16.0ms (2.1% of total)
ival-and: 12.0ms (1.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain215.0ms (2.1%)

Memory
-0.7MiB live, 290.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
160-0-(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
00-0-beta
00-0-(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))
00-0-(+.f64 alpha beta)
00-0-(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
00-0-(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
00-0-(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
00-0-(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
00-0-alpha
00-0-(*.f64 beta alpha)
00-0-#s(literal 2 binary64)
00-0-(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))o/n160
(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))overflow16
(*.f64 beta alpha)overflow16
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))overflow16
Confusion
Predicted +Predicted -
+160
-0240
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1600
-00240
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0240
116
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
50.0ms512×0valid
Compiler

Compiled 405 to 60 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-add: 12.0ms (40.2% of total)
ival-div: 10.0ms (33.5% of total)
ival-mult: 7.0ms (23.4% of total)
ival-true: 1.0ms (3.3% of total)
exact: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)

preprocess460.0ms (4.4%)

Memory
-0.9MiB live, 342.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036149
1112137
2432135
32613127
46386127
01429
02627
14727
212427
360425
4404225
5470325
6486625
7498525
8504325
9504325
10540625
11556825
12571325
13571325
14571325
15582125
16585525
17585625
18585625
19600425
20601825
21603225
22603225
01288025
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
Outputs
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)))
Symmetry

(sort alpha beta)

Compiler

Compiled 35 to 14 computations (60% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.7%
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
Compiler

Compiled 35 to 14 computations (60% saved)

simplify486.0ms (4.7%)

Memory
15.3MiB live, 417.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff64
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))
cost-diff128
(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
cost-diff192
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff320
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014104
026100
147100
2124100
360492
4404292
5470392
6486692
7498592
8504392
9504392
10540692
11556892
12571392
13571392
14571392
15582192
16585592
17585692
18585692
19600492
20601892
21603292
22603292
01288091
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))
(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
(+.f64 alpha beta)
alpha
beta
(*.f64 beta alpha)
#s(literal 1 binary64)
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
#s(literal 2 binary64)
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
Outputs
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(fma.f64 beta alpha (+.f64 beta alpha))
(+.f64 beta alpha)
alpha
beta
(*.f64 beta alpha)
#s(literal 1 binary64)
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
#s(literal 2 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 3 binary64) (+.f64 beta alpha))

localize42.0ms (0.4%)

Memory
-20.2MiB live, 104.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy0.01953125
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
accuracy0.09765625
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy3.8014355285336228
(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
Samples
28.0ms256×0valid
Compiler

Compiled 246 to 30 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-add: 6.0ms (37.1% of total)
ival-mult: 5.0ms (30.9% of total)
ival-div: 4.0ms (24.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series39.0ms (0.4%)

Memory
18.7MiB live, 94.3MiB allocated
Counts
7 → 144
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
8.0ms
beta
@-inf
((* 2 1) (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ alpha beta) (* beta alpha)) (+ (+ (+ alpha beta) (* beta alpha)) 1) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))
7.0ms
alpha
@-inf
((* 2 1) (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ alpha beta) (* beta alpha)) (+ (+ (+ alpha beta) (* beta alpha)) 1) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))
5.0ms
beta
@0
((* 2 1) (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ alpha beta) (* beta alpha)) (+ (+ (+ alpha beta) (* beta alpha)) 1) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))
4.0ms
alpha
@inf
((* 2 1) (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ alpha beta) (* beta alpha)) (+ (+ (+ alpha beta) (* beta alpha)) 1) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))
4.0ms
alpha
@0
((* 2 1) (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ alpha beta) (* beta alpha)) (+ (+ (+ alpha beta) (* beta alpha)) 1) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))

simplify223.0ms (2.2%)

Memory
23.0MiB live, 373.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07145886
125435628
082815340
Stop Event
iter limit
node limit
Counts
144 → 138
Calls
Call 1
Inputs
(+ 3 alpha)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
alpha
(+ alpha (* beta (+ 1 alpha)))
(+ alpha (* beta (+ 1 alpha)))
(+ alpha (* beta (+ 1 alpha)))
(+ 1 alpha)
(+ 1 (+ alpha (* beta (+ 1 alpha))))
(+ 1 (+ alpha (* beta (+ 1 alpha))))
(+ 1 (+ alpha (* beta (+ 1 alpha))))
(/ (+ 1 alpha) (+ 2 alpha))
(+ (* beta (- (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
(+ (* beta (- (+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4))))) (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
(/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+ (* beta (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (+ (/ 1 (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (+ (/ alpha (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(/ (+ 1 alpha) (pow (+ 2 alpha) 2))
(+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
(+ (* beta (- (+ (* beta (- (* beta (- (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))))) (pow (+ 2 alpha) 2))) (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 alpha))
(* beta (+ 1 (+ alpha (/ alpha beta))))
(* beta (+ 1 (+ alpha (/ alpha beta))))
(* beta (+ 1 (+ alpha (/ alpha beta))))
(* beta (+ 1 alpha))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(+ 1 alpha)
(- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))
(- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))
(- (+ 1 (+ alpha (+ (/ 1 beta) (+ (/ alpha beta) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 3)))))) (+ (/ (* (+ 1 alpha) (+ 2 alpha)) beta) (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))))
(/ (+ 1 alpha) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ alpha (* 2 alpha))) (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))))) (+ (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta) (+ (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))) (pow beta 2))))) (pow beta 2))
(/ (+ 1 alpha) beta)
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))))) (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta) (+ (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))))) beta)
beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 alpha) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ alpha beta))) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ alpha beta))) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ alpha beta))) 1)))
(* -1 (* beta (- (* -1 alpha) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))
(* -1 (- (* -1 alpha) 1))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(* -1 (/ (- (* -1 alpha) 1) (pow beta 2)))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (+ (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta) (/ (* (pow (+ 2 alpha) 2) (* (+ 3 alpha) (- (* -1 alpha) 1))) beta))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(* -1 (/ (- (* -1 alpha) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (+ (* -2 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(+ 3 beta)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
beta
(+ beta (* alpha (+ 1 beta)))
(+ beta (* alpha (+ 1 beta)))
(+ beta (* alpha (+ 1 beta)))
(+ 1 beta)
(+ 1 (+ beta (* alpha (+ 1 beta))))
(+ 1 (+ beta (* alpha (+ 1 beta))))
(+ 1 (+ beta (* alpha (+ 1 beta))))
(/ (+ 1 beta) (+ 2 beta))
(+ (* alpha (- (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))
(+ (* alpha (- (+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (pow (+ 2 beta) 2))
(+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 beta))
(* alpha (+ 1 (+ beta (/ beta alpha))))
(* alpha (+ 1 (+ beta (/ beta alpha))))
(* alpha (+ 1 (+ beta (/ beta alpha))))
(* alpha (+ 1 beta))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(+ 1 beta)
(- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
(- (+ 1 (+ beta (+ (* -1 (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
(- (+ 1 (+ beta (+ (/ 1 alpha) (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 3)))))) (+ (/ (* (+ 1 beta) (+ 2 beta)) alpha) (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))))
(/ (+ 1 beta) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))
(/ (+ 1 beta) alpha)
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))))) (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha) (+ (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)) (/ (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) alpha)
alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 beta) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ beta alpha))) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ beta alpha))) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ beta alpha))) 1)))
(* -1 (* alpha (- (* -1 beta) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(* -1 (- (* -1 beta) 1))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(* -1 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (* -2 (/ (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
Outputs
(+.f64 #s(literal 3 binary64) alpha)
(+.f64 (+.f64 beta alpha) #s(literal 3 binary64))
(+.f64 (+.f64 beta alpha) #s(literal 3 binary64))
(+.f64 (+.f64 beta alpha) #s(literal 3 binary64))
alpha
(fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta alpha)
(fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta alpha)
(fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta alpha)
(+.f64 #s(literal 1 binary64) alpha)
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
(fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))
(fma.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))
(fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) beta (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))))
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beta
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beta
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(neg.f64 (-.f64 #s(literal -1 binary64) alpha))
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(+.f64 #s(literal 3 binary64) beta)
(+.f64 (+.f64 beta alpha) #s(literal 3 binary64))
(+.f64 (+.f64 beta alpha) #s(literal 3 binary64))
(+.f64 (+.f64 beta alpha) #s(literal 3 binary64))
beta
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(fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta alpha)
(fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta alpha)
(+.f64 #s(literal 1 binary64) beta)
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(/.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))
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alpha
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(fma.f64 (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 3 binary64) alpha)) alpha alpha)
(fma.f64 (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 3 binary64) alpha)) alpha alpha)
(fma.f64 beta alpha alpha)
(fma.f64 (+.f64 (/.f64 beta alpha) beta) alpha alpha)
(fma.f64 (+.f64 (/.f64 beta alpha) beta) alpha alpha)
(fma.f64 (+.f64 (/.f64 beta alpha) beta) alpha alpha)
(fma.f64 beta alpha alpha)
(fma.f64 (+.f64 (+.f64 beta (/.f64 #s(literal 1 binary64) alpha)) (/.f64 beta alpha)) alpha alpha)
(fma.f64 (+.f64 (+.f64 beta (/.f64 #s(literal 1 binary64) alpha)) (/.f64 beta alpha)) alpha alpha)
(fma.f64 (+.f64 (+.f64 beta (/.f64 #s(literal 1 binary64) alpha)) (/.f64 beta alpha)) alpha alpha)
(+.f64 #s(literal 1 binary64) beta)
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alpha
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha))
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha))
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha))
(*.f64 (-.f64 #s(literal -1 binary64) beta) (neg.f64 alpha))
(*.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha))
(*.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha))
(*.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha))
(*.f64 (-.f64 #s(literal -1 binary64) beta) (neg.f64 alpha))
(*.f64 (-.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) beta) #s(literal 1 binary64)) (neg.f64 alpha))
(*.f64 (-.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) beta) #s(literal 1 binary64)) (neg.f64 alpha))
(*.f64 (-.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) beta) #s(literal 1 binary64)) (neg.f64 alpha))
(neg.f64 (-.f64 #s(literal -1 binary64) beta))
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta))
(-.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha)) (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta))
(-.f64 (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha)) (*.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) alpha)) (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) beta)) (*.f64 alpha alpha))
(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta)) (*.f64 alpha alpha))
(/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -3 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) alpha) (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (+.f64 #s(literal 3 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) (-.f64 #s(literal -1 binary64) beta))) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta)) (*.f64 alpha alpha))
(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (-.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (+.f64 #s(literal 3 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) alpha) (fma.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -3 binary64)) (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) (*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (+.f64 #s(literal 3 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) beta))) alpha) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -3 binary64)) (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) (*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (+.f64 #s(literal 3 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) beta)))) alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta)) (*.f64 alpha alpha))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) beta)) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) beta))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha))
(/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) beta)))) alpha)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) beta))) alpha) #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha))
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) beta))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) beta))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha)) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) beta))) alpha) #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha))

rewrite177.0ms (1.7%)

Memory
2.8MiB live, 201.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01489
02685
112377
2116177
0816772
Stop Event
iter limit
node limit
iter limit
Counts
7 → 437
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))
(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
Outputs
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eval153.0ms (1.5%)

Memory
-69.4MiB live, 214.4MiB allocated
Compiler

Compiled 29 860 to 2 630 computations (91.2% saved)

prune34.0ms (0.3%)

Memory
8.7MiB live, 47.8MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New56215577
Fresh000
Picked101
Done000
Total56315578
Accuracy
100.0%
Counts
578 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.7%
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
93.2%
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
93.7%
(/.f64 (/.f64 (/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
92.9%
(/.f64 (/.f64 (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
92.8%
(/.f64 (/.f64 (neg.f64 (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (neg.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
73.0%
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
67.3%
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
86.4%
(/.f64 (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
93.7%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (neg.f64 (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
93.5%
(/.f64 (*.f64 (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)))
61.1%
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha (/.f64 #s(literal 1 binary64) beta))) (/.f64 alpha beta)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
61.6%
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
92.8%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)))))
5.1%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
58.8%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
Compiler

Compiled 1 112 to 570 computations (48.7% saved)

simplify223.0ms (2.2%)

Memory
-11.0MiB live, 226.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
cost-diff64
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))
cost-diff128
(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
cost-diff320
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
cost-diff64
(+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64))
cost-diff128
(*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)))))
cost-diff384
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
cost-diff192
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff320
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
cost-diff512
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff-384
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
cost-diff0
(*.f64 beta beta)
cost-diff0
(+.f64 #s(literal 1 binary64) alpha)
cost-diff0
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
cost-diff320
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
cost-diff512
(/.f64 (/.f64 (/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff704
(+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta))
cost-diff768
(fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052558
092539
1173539
2435539
32479488
43617488
55023486
65233486
75473486
85476486
08729480
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta))
(fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)
(+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta))
(+.f64 alpha (/.f64 #s(literal 1 binary64) beta))
alpha
(/.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
beta
(/.f64 alpha beta)
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
(+.f64 alpha beta)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
#s(literal 2 binary64)
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(+.f64 #s(literal 1 binary64) alpha)
#s(literal 1 binary64)
alpha
(*.f64 beta beta)
beta
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha))
(+.f64 #s(literal 1 binary64) alpha)
#s(literal 1 binary64)
alpha
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
(+.f64 alpha beta)
beta
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
#s(literal 2 binary64)
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)))))
#s(literal 1 binary64)
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
(+.f64 #s(literal 3 binary64) (+.f64 beta alpha))
#s(literal 3 binary64)
(+.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)))
(+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64))
(fma.f64 beta alpha (+.f64 beta alpha))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))
(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
(+.f64 alpha beta)
alpha
beta
(*.f64 beta alpha)
#s(literal 1 binary64)
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
#s(literal 2 binary64)
#s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta))
(+.f64 #s(literal 3 binary64) beta)
#s(literal 3 binary64)
Outputs
(/.f64 (/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (fma.f64 (+.f64 beta alpha) (+.f64 #s(literal 5 binary64) (+.f64 beta alpha)) #s(literal 6 binary64)))
(/.f64 (/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
#s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) alpha)
(+.f64 (/.f64 #s(literal 1 binary64) beta) alpha)
alpha
(/.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
beta
(/.f64 alpha beta)
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(+.f64 beta alpha)
#s(literal 2 binary64)
#s(literal 2 binary64)
(+.f64 (+.f64 beta alpha) #s(literal 3 binary64))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(+.f64 #s(literal 1 binary64) alpha)
#s(literal 1 binary64)
alpha
(*.f64 beta beta)
beta
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (fma.f64 (+.f64 beta alpha) (+.f64 #s(literal 5 binary64) (+.f64 beta alpha)) #s(literal 6 binary64)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha))
(+.f64 #s(literal 1 binary64) alpha)
#s(literal 1 binary64)
alpha
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(+.f64 beta alpha)
beta
#s(literal 2 binary64)
#s(literal 2 binary64)
(+.f64 (+.f64 beta alpha) #s(literal 3 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (fma.f64 (+.f64 beta alpha) (+.f64 #s(literal 5 binary64) (+.f64 beta alpha)) #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
#s(literal 1 binary64)
(*.f64 (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 #s(literal 5 binary64) (+.f64 beta alpha)) #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(fma.f64 (+.f64 beta alpha) (+.f64 #s(literal 5 binary64) (+.f64 beta alpha)) #s(literal 6 binary64))
(+.f64 (+.f64 beta alpha) #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
#s(literal 2 binary64)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) (+.f64 #s(literal 1 binary64) alpha))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta alpha)
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta alpha)
(+.f64 beta alpha)
alpha
beta
(*.f64 beta alpha)
#s(literal 1 binary64)
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta))
(+.f64 #s(literal 3 binary64) beta)
#s(literal 3 binary64)

localize139.0ms (1.3%)

Memory
13.9MiB live, 131.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
accuracy0.09765625
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
accuracy0.39530001335279275
#s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta))
accuracy3.8014355285336228
(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
accuracy0.0234375
(*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
accuracy0.3128650510141999
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)))))
accuracy1.6148778998310265
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64))))
accuracy3.8206486278411242
(/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)))
accuracy0.00390625
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy0.01953125
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
accuracy0.09765625
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy20.893904354678188
#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha))
accuracy0
(+.f64 #s(literal 1 binary64) alpha)
accuracy0
(*.f64 beta beta)
accuracy1.9019352956861872
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
accuracy24.58556437764052
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
accuracy0.01953125
(/.f64 (/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
accuracy0.05078125
(fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)
accuracy0.09765625
(/.f64 (/.f64 (/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy3.8014355285336228
(/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
Samples
62.0ms256×0valid
Compiler

Compiled 1 164 to 90 computations (92.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-add: 17.0ms (42.9% of total)
ival-div: 13.0ms (32.8% of total)
ival-mult: 9.0ms (22.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series78.0ms (0.8%)

Memory
5.8MiB live, 114.2MiB allocated
Counts
25 → 552
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 (/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) alpha) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 beta beta) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
8.0ms
beta
@-inf
((+ (* (+ (+ alpha (/ 1 beta)) (/ alpha beta)) beta) beta) (+ (+ alpha (/ 1 beta)) (/ alpha beta)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (* 2 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (+ 1 alpha) (* beta beta) (/ (+ 1 alpha) (* beta beta)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (+ (+ (+ alpha beta) (* 2 1)) 1) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (* (* (+ 3 (+ beta alpha)) (+ (+ beta alpha) 2)) (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1))) (/ 1 (* (* (+ 3 (+ beta alpha)) (+ (+ beta alpha) 2)) (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)))) (* (+ 3 (+ beta alpha)) (+ (+ beta alpha) 2)) (+ (+ (* beta alpha) (+ beta alpha)) 1) (+ (+ alpha beta) (* beta alpha)) (+ (+ (+ alpha beta) (* beta alpha)) 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))
7.0ms
alpha
@0
((+ (* (+ (+ alpha (/ 1 beta)) (/ alpha beta)) beta) beta) (+ (+ alpha (/ 1 beta)) (/ alpha beta)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (* 2 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (+ 1 alpha) (* beta beta) (/ (+ 1 alpha) (* beta beta)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (+ (+ (+ alpha beta) (* 2 1)) 1) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (* (* (+ 3 (+ beta alpha)) (+ (+ beta alpha) 2)) (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1))) (/ 1 (* (* (+ 3 (+ beta alpha)) (+ (+ beta alpha) 2)) (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)))) (* (+ 3 (+ beta alpha)) (+ (+ beta alpha) 2)) (+ (+ (* beta alpha) (+ beta alpha)) 1) (+ (+ alpha beta) (* beta alpha)) (+ (+ (+ alpha beta) (* beta alpha)) 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))
5.0ms
alpha
@-inf
((+ (* (+ (+ alpha (/ 1 beta)) (/ alpha beta)) beta) beta) (+ (+ alpha (/ 1 beta)) (/ alpha beta)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (* 2 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (+ 1 alpha) (* beta beta) (/ (+ 1 alpha) (* beta beta)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (+ (+ (+ alpha beta) (* 2 1)) 1) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (* (* (+ 3 (+ beta alpha)) (+ (+ beta alpha) 2)) (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1))) (/ 1 (* (* (+ 3 (+ beta alpha)) (+ (+ beta alpha) 2)) (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)))) (* (+ 3 (+ beta alpha)) (+ (+ beta alpha) 2)) (+ (+ (* beta alpha) (+ beta alpha)) 1) (+ (+ alpha beta) (* beta alpha)) (+ (+ (+ alpha beta) (* beta alpha)) 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))
5.0ms
beta
@0
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4.0ms
alpha
@inf
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simplify275.0ms (2.7%)

Memory
15.8MiB live, 331.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119526588
1416825273
0833024131
Stop Event
iter limit
node limit
Counts
552 → 538
Calls
Call 1
Inputs
(+ 1 alpha)
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(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (+ (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta) (/ (* (pow (+ 2 alpha) 2) (* (+ 3 alpha) (- (* -1 alpha) 1))) beta))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (/ (- (* -1 alpha) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (+ (* -2 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(* -1 (/ (pow beta 2) (- (* -1 alpha) 1)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* 2 (/ (+ 2 alpha) (- (* -1 alpha) 1))) (+ (* 3 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1)))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2)))) beta)) (/ 1 (- (* -1 alpha) 1))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (+ 3 alpha)) (- (* -1 alpha) 1))) (* -1 (/ (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) (/ (* (+ 1 alpha) (- (+ (* 2 (/ (+ 2 alpha) (- (* -1 alpha) 1))) (+ (* 3 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1)))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2))))) (- (* -1 alpha) 1))) beta)) (+ (* 2 (/ (+ 2 alpha) (- (* -1 alpha) 1))) (+ (* 3 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1))))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2)))) beta)) (/ 1 (- (* -1 alpha) 1))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (+ 3 alpha)) (- (* -1 alpha) 1))) (+ (* -1 (/ (- (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (- (* -1 alpha) 1)) (/ (* (+ 1 alpha) (- (+ (* -2 (/ (* (+ 2 alpha) (+ 3 alpha)) (- (* -1 alpha) 1))) (* -1 (/ (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) (/ (* (+ 1 alpha) (- (+ (* 2 (/ (+ 2 alpha) (- (* -1 alpha) 1))) (+ (* 3 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1)))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2))))) (- (* -1 alpha) 1)))) (- (* -1 alpha) 1))) beta)) (* -1 (/ (pow (+ 2 alpha) 2) (- (* -1 alpha) 1))))) (/ (* (+ 1 alpha) (- (+ (* 2 (/ (+ 2 alpha) (- (* -1 alpha) 1))) (+ (* 3 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1)))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2))))) (- (* -1 alpha) 1))) beta)) (+ (* 2 (/ (+ 2 alpha) (- (* -1 alpha) 1))) (+ (* 3 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1))))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2)))) beta)) (/ 1 (- (* -1 alpha) 1))))
(* -1 (/ (- (* -1 alpha) 1) (pow beta 2)))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (+ (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta) (/ (* (pow (+ 2 alpha) 2) (* (+ 3 alpha) (- (* -1 alpha) 1))) beta))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(* -1 (* beta (- (* -1 alpha) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))
(* -1 (* beta (- (* -1 alpha) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ alpha beta))) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ alpha beta))) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ alpha beta))) 1)))
(* -1 (* beta (- (* -1 alpha) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ (+ 1 alpha) beta))) 1)))
(* -1 (/ (- (* -1 alpha) 1) (pow beta 2)))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (+ (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta) (/ (* (pow (+ 2 alpha) 2) (* (+ 3 alpha) (- (* -1 alpha) 1))) beta))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(* -1 (- (* -1 alpha) 1))
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(* -1 (/ (- (* -1 alpha) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
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(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(* -1 (- (* -1 alpha) 1))
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(/ -1 (- (* -1 alpha) 1))
(- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2)))) beta)) (/ 1 (- (* -1 alpha) 1)))
(- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (+ (/ alpha (- (* -1 alpha) 1)) (/ (* (+ 1 alpha) (- (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2))))) (* beta (- (* -1 alpha) 1))))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2)))) beta)) (/ 1 (- (* -1 alpha) 1)))
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ 1 alpha) 2) (- (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2))))) (* beta (pow (- (* -1 alpha) 1) 2)))) (/ (* (+ 1 alpha) (- (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2))))) (- (* -1 alpha) 1))) beta)) (+ (* 2 (/ 1 (- (* -1 alpha) 1))) (/ alpha (- (* -1 alpha) 1)))) (* -1 (/ (+ 1 alpha) (pow (- (* -1 alpha) 1) 2)))) beta)) (/ 1 (- (* -1 alpha) 1)))
(* -1 (- (* -1 alpha) 1))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (/ (- (* -1 alpha) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (+ (* -2 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(+ 1 beta)
(+ 1 (+ beta (* alpha (* beta (+ 1 (/ 1 beta))))))
(+ 1 (+ beta (* alpha (* beta (+ 1 (/ 1 beta))))))
(+ 1 (+ beta (* alpha (* beta (+ 1 (/ 1 beta))))))
(/ 1 beta)
(+ (* alpha (+ 1 (/ 1 beta))) (/ 1 beta))
(+ (* alpha (+ 1 (/ 1 beta))) (/ 1 beta))
(+ (* alpha (+ 1 (/ 1 beta))) (/ 1 beta))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
1
(+ 1 alpha)
(+ 1 alpha)
(+ 1 alpha)
(/ 1 (pow beta 2))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ 3 beta)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
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(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(* alpha (+ 1 beta))
(* alpha (+ 1 (+ beta (/ beta alpha))))
(* alpha (+ 1 (+ beta (/ beta alpha))))
(* alpha (+ 1 (+ beta (/ beta alpha))))
(* alpha (+ 1 beta))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(/ (+ 1 beta) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))
(+ 1 beta)
(- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
(- (+ 1 (+ beta (+ (* -1 (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
(- (+ 1 (+ beta (+ (/ 1 alpha) (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 3)))))) (+ (/ (* (+ 1 beta) (+ 2 beta)) alpha) (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))))
(/ (+ 1 beta) alpha)
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))))) (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha) (+ (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)) (/ (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) alpha)
(+ 1 beta)
(- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
(- (+ 1 (+ beta (+ (* -1 (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
(- (+ 1 (+ beta (+ (/ 1 alpha) (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 3)))))) (+ (/ (* (+ 1 beta) (+ 2 beta)) alpha) (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))))
(/ 1 (+ 1 beta))
(+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (/ beta (* alpha (+ 1 beta)))))
(+ (* -1 (/ (+ (/ 1 (+ 1 beta)) (/ beta (+ 1 beta))) (pow alpha 2))) (+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (/ beta (* alpha (+ 1 beta))))))
(- (+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (* (pow alpha 3) (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (+ (/ beta (* alpha (+ 1 beta))) (/ beta (* (pow alpha 3) (+ 1 beta))))))) (+ (/ 1 (* (pow alpha 2) (+ 1 beta))) (/ beta (* (pow alpha 2) (+ 1 beta)))))
(+ 1 beta)
(- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
(- (+ 1 (+ beta (+ (* -1 (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
(- (+ 1 (+ beta (+ (/ 1 alpha) (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 3)))))) (+ (/ (* (+ 1 beta) (+ 2 beta)) alpha) (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))))
alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(/ (+ 1 beta) alpha)
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))))) (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha) (+ (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)) (/ (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) alpha)
(* alpha (* beta (+ 1 (/ 1 beta))))
(* -1 (* alpha (+ (* -1 (* beta (+ 1 (/ 1 beta)))) (* -1 (/ (+ 1 beta) alpha)))))
(* -1 (* alpha (+ (* -1 (* beta (+ 1 (/ 1 beta)))) (* -1 (/ (+ 1 beta) alpha)))))
(* -1 (* alpha (+ (* -1 (* beta (+ 1 (/ 1 beta)))) (* -1 (/ (+ 1 beta) alpha)))))
(* alpha (+ 1 (/ 1 beta)))
(* alpha (+ 1 (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* alpha (+ 1 (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* alpha (+ 1 (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(/ alpha (pow beta 2))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (* -2 (/ (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (pow alpha 2) (- (* -1 beta) 1)))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 beta) (+ 3 beta)) (- (* -1 beta) 1))) (* -1 (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) (/ (* (+ 1 beta) (- (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha)) (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 beta) (+ 3 beta)) (- (* -1 beta) 1))) (+ (* -1 (/ (- (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (- (* -1 beta) 1)) (/ (* (+ 1 beta) (- (+ (* -2 (/ (* (+ 2 beta) (+ 3 beta)) (- (* -1 beta) 1))) (* -1 (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) (/ (* (+ 1 beta) (- (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1)))) (- (* -1 beta) 1))) alpha)) (* -1 (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1))))) (/ (* (+ 1 beta) (- (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha)) (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1))))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* -1 (* alpha (- (* -1 beta) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(* -1 (* alpha (- (* -1 beta) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ beta alpha))) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ beta alpha))) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ beta alpha))) 1)))
(* -1 (* alpha (- (* -1 beta) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(* -1 (- (* -1 beta) 1))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(* -1 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (* -2 (/ (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (- (* -1 beta) 1))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(/ -1 (- (* -1 beta) 1))
(- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))
(- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (+ (/ beta (- (* -1 beta) 1)) (/ (* (+ 1 beta) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (* alpha (- (* -1 beta) 1))))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ 1 beta) 2) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (* alpha (pow (- (* -1 beta) 1) 2)))) (/ (* (+ 1 beta) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha)) (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))
(* -1 (- (* -1 beta) 1))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (* -2 (/ (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
Outputs
(+.f64 #s(literal 1 binary64) alpha)
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) alpha #s(literal 1 binary64)) beta)
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) alpha #s(literal 1 binary64)) beta)
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) alpha #s(literal 1 binary64)) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))
(fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) beta (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))))
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#s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) beta (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))))) beta (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64)))))) beta (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))
(fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) beta (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))))
(fma.f64 (fma.f64 (neg.f64 beta) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64)))))) beta (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 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alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))))) beta (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64)))))) beta (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 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(*.f64 beta beta)
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beta
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(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))
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(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))
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(+.f64 #s(literal 3 binary64) beta)
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(/.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))
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(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) (neg.f64 alpha)))) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta)) (*.f64 alpha alpha))
(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (-.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) alpha) (fma.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) beta))) alpha) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (fma.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) beta)))) alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta)) (*.f64 alpha alpha))
(neg.f64 (-.f64 #s(literal -1 binary64) beta))
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta))
(-.f64 (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) beta) (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -1 binary64) beta)))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta))
(-.f64 (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) (neg.f64 alpha)) (*.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) beta)) alpha)
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -1 binary64) beta))) (neg.f64 alpha)) beta) #s(literal 1 binary64)) (neg.f64 alpha))
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 (/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -1 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal -2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -1 binary64) beta))) alpha) beta) #s(literal -1 binary64)) (neg.f64 alpha))
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -1 binary64) beta))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -1 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -1 binary64) beta))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -1 binary64) beta))) alpha) beta) #s(literal -1 binary64)) (neg.f64 alpha))
(neg.f64 (-.f64 #s(literal -1 binary64) beta))
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta))
(-.f64 (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) beta) (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -1 binary64) beta)))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta))
(-.f64 (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) (neg.f64 alpha)) (*.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) beta))
(-.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) beta)) (/.f64 beta (-.f64 #s(literal -1 binary64) beta))) (/.f64 (-.f64 #s(literal -1 binary64) beta) (pow.f64 (-.f64 #s(literal -1 binary64) beta) #s(literal 2 binary64)))) (neg.f64 alpha)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) beta)))
(fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal -1 binary64) beta)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) beta)) (/.f64 beta (-.f64 #s(literal -1 binary64) beta))) (/.f64 (-.f64 #s(literal -1 binary64) beta) (pow.f64 (-.f64 #s(literal -1 binary64) beta) #s(literal 2 binary64)))) alpha) (/.f64 beta (-.f64 #s(literal -1 binary64) beta))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) beta))) (/.f64 (-.f64 #s(literal -1 binary64) beta) (pow.f64 (-.f64 #s(literal -1 binary64) beta) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) beta)))
(fma.f64 (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) beta)) (/.f64 beta (-.f64 #s(literal -1 binary64) beta))) (/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) beta)) (/.f64 beta (-.f64 #s(literal -1 binary64) beta))) (/.f64 (-.f64 #s(literal -1 binary64) beta) (pow.f64 (-.f64 #s(literal -1 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal -1 binary64) beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) beta)) (/.f64 beta (-.f64 #s(literal -1 binary64) beta))) (/.f64 (-.f64 #s(literal -1 binary64) beta) (pow.f64 (-.f64 #s(literal -1 binary64) beta) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) beta)) (-.f64 #s(literal -1 binary64) beta)))) alpha)) (/.f64 (-.f64 #s(literal -1 binary64) beta) (pow.f64 (-.f64 #s(literal -1 binary64) beta) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) beta)))
(neg.f64 (-.f64 #s(literal -1 binary64) beta))
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta))
(-.f64 (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) beta) (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -1 binary64) beta)))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta))
(-.f64 (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) (neg.f64 alpha)) (*.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) (neg.f64 alpha)) (-.f64 #s(literal -1 binary64) beta))
alpha
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal 1 binary64)) (neg.f64 alpha))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal 1 binary64)) (neg.f64 alpha))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal 1 binary64)) (neg.f64 alpha))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) beta)) alpha)
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -1 binary64) beta))) (neg.f64 alpha)) beta) #s(literal 1 binary64)) (neg.f64 alpha))
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 (/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -1 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal -2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha)))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -1 binary64) beta))) alpha) beta) #s(literal -1 binary64)) (neg.f64 alpha))
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -1 binary64) beta))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -1 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -1 binary64) beta))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -1 binary64) beta))) alpha) beta) #s(literal -1 binary64)) (neg.f64 alpha))

rewrite306.0ms (3%)

Memory
-1.1MiB live, 357.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052443
092419
1426379
23666379
010216379
Stop Event
iter limit
node limit
iter limit
Counts
25 → 900
Calls
Call 1
Inputs
(fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)
(+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta))
(/.f64 (/.f64 (/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
(+.f64 #s(literal 1 binary64) alpha)
(*.f64 beta beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
(+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64))
(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha))
(/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)))
(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
Outputs
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eval259.0ms (2.5%)

Memory
53.4MiB live, 527.0MiB allocated
Compiler

Compiled 90 720 to 5 158 computations (94.3% saved)

prune96.0ms (0.9%)

Memory
-38.4MiB live, 219.7MiB allocated
Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New1 547201 567
Fresh5510
Picked415
Done000
Total1 556261 582
Accuracy
100.0%
Counts
1 582 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.9%
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
92.9%
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
93.7%
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
92.4%
(/.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
93.7%
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
73.0%
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
67.2%
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
61.2%
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal 1 binary64)) (neg.f64 alpha))))
67.3%
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
86.4%
(/.f64 (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
61.1%
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha (/.f64 #s(literal 1 binary64) beta))) (/.f64 alpha beta)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
61.6%
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
64.6%
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
93.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 1 binary64) beta)))))
73.0%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)))))
64.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)))))
92.6%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (+ 3 (+ beta alpha)) (+ (+ beta alpha) 2)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 5 binary64)) alpha (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)))))
61.5%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
55.3%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))))
5.1%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
58.8%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
55.6%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
61.1%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))))
59.5%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (pow.f64 beta #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) alpha)))
35.3%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
58.2%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) alpha)))
Compiler

Compiled 2 115 to 1 105 computations (47.8% saved)

simplify131.0ms (1.3%)

Memory
12.6MiB live, 168.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff64
(fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))
cost-diff128
(neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
cost-diff128
(neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)))
cost-diff768
(/.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
cost-diff0
(*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
cost-diff0
(+.f64 #s(literal 1 binary64) alpha)
cost-diff0
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
cost-diff64
(fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))
cost-diff0
(+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)
cost-diff0
(*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
cost-diff0
(+.f64 #s(literal 1 binary64) alpha)
cost-diff0
#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha))
cost-diff0
(*.f64 beta beta)
cost-diff0
(/.f64 alpha (*.f64 beta beta))
cost-diff0
#s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))
cost-diff0
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
cost-diff128
(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
cost-diff192
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
cost-diff320
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
cost-diff384
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053494
088475
1188450
2578449
32704449
46883449
08245448
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))
(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
(+.f64 alpha beta)
alpha
beta
(*.f64 beta alpha)
#s(literal 1 binary64)
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
#s(literal 2 binary64)
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 beta alpha))
(+.f64 beta alpha)
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 alpha (*.f64 beta beta))
alpha
(*.f64 beta beta)
beta
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha))
(+.f64 #s(literal 1 binary64) alpha)
#s(literal 1 binary64)
alpha
(*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)
(+.f64 #s(literal 3 binary64) alpha)
#s(literal 3 binary64)
beta
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))
(+.f64 #s(literal 1 binary64) alpha)
#s(literal 1 binary64)
alpha
beta
(*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
#s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta))
(+.f64 #s(literal 3 binary64) beta)
#s(literal 3 binary64)
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
(/.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))
(neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)))
(fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))
(+.f64 #s(literal 1 binary64) alpha)
#s(literal 1 binary64)
alpha
beta
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
(neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
#s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta))
(+.f64 #s(literal 3 binary64) beta)
#s(literal 3 binary64)
Outputs
(*.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta))) (/.f64 (-.f64 beta #s(literal -1 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 #s(literal -1 binary64) alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 alpha #s(literal -1 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) alpha))
(fma.f64 beta alpha (+.f64 beta alpha))
(+.f64 beta alpha)
alpha
beta
(*.f64 beta alpha)
#s(literal 1 binary64)
(-.f64 (+.f64 beta alpha) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(literal 2 binary64)
(+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)
(+.f64 #s(literal 1 binary64) (+.f64 beta alpha))
(+.f64 beta alpha)
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 alpha (*.f64 beta beta))
alpha
(*.f64 beta beta)
beta
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (-.f64 alpha #s(literal -1 binary64))) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta))
#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (-.f64 alpha #s(literal -1 binary64)))
(-.f64 alpha #s(literal -1 binary64))
#s(literal 1 binary64)
alpha
(*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta))
(+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)
(+.f64 #s(literal 3 binary64) alpha)
#s(literal 3 binary64)
beta
(-.f64 (+.f64 beta alpha) #s(literal -2 binary64))
(-.f64 beta #s(literal -2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) alpha))
(-.f64 alpha #s(literal -1 binary64))
#s(literal 1 binary64)
alpha
beta
(*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
(*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
#s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta))
(+.f64 #s(literal 3 binary64) beta)
#s(literal 3 binary64)
(-.f64 (+.f64 beta alpha) #s(literal -2 binary64))
(-.f64 beta #s(literal -2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 #s(literal -1 binary64) alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 alpha #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) alpha))
(-.f64 alpha #s(literal -1 binary64))
#s(literal 1 binary64)
alpha
beta
(*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
(-.f64 (+.f64 beta alpha) #s(literal -2 binary64))
(-.f64 beta #s(literal -2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
#s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta))
(+.f64 #s(literal 3 binary64) beta)
#s(literal 3 binary64)

localize430.0ms (4.2%)

Memory
12.2MiB live, 209.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
accuracy0.09765625
(/.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
accuracy0.39530001335279275
#s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta))
accuracy19.83389184625561
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))
accuracy0.0234375
(*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
accuracy0.0859375
(*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
accuracy0.39530001335279275
#s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta))
accuracy8.635631170634834
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
accuracy0
(+.f64 #s(literal 1 binary64) alpha)
accuracy0.0234375
(*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
accuracy1.8589665456861826
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
accuracy20.893904354678188
#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha))
accuracy0
(*.f64 beta beta)
accuracy7.347372485744075
(/.f64 alpha (*.f64 beta beta))
accuracy24.58556437764052
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
accuracy40.03567101303766
#s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))
accuracy0.0078125
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
accuracy0.01953125
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
accuracy0.09765625
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
accuracy3.8014355285336228
(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
Samples
317.0ms256×0valid
Compiler

Compiled 1 016 to 97 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 274.0ms
ival-add: 232.0ms (84.7% of total)
ival-mult: 25.0ms (9.1% of total)
ival-div: 14.0ms (5.1% of total)
ival-neg: 2.0ms (0.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series134.0ms (1.3%)

Memory
13.2MiB live, 86.8MiB allocated
Counts
25 → 552
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 alpha (*.f64 beta beta)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 beta beta) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #<representation binary64>) () ())
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Outputs
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Calls

6 calls:

TimeVariablePointExpression
21.0ms
beta
@-inf
((/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ 1 (+ beta alpha)) 2)) (* 2 1) (+ (+ 1 (+ beta alpha)) 2) (+ (+ alpha beta) (* beta alpha)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/ (+ 1 alpha) (* beta beta)) (/ alpha (* beta beta)) (* beta beta) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ 1 alpha) (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (+ (+ 3 alpha) beta) (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (/ (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha)) (/ (/ (neg (+ (* (+ 1 alpha) beta) (+ 1 alpha))) (* (+ (+ 2 beta) alpha) (neg (+ (+ 2 beta) alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (neg (+ (* (+ 1 alpha) beta) (+ 1 alpha))) (neg (+ (+ 2 beta) alpha)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha))) (+ (+ (+ alpha beta) (* 2 1)) 1) (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (/ (neg (+ (* (+ 1 alpha) beta) (+ 1 alpha))) (* (+ (+ 2 beta) alpha) (neg (+ (+ 2 beta) alpha)))) (* (+ (+ 2 beta) alpha) (neg (+ (+ 2 beta) alpha))))
5.0ms
alpha
@-inf
((/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ 1 (+ beta alpha)) 2)) (* 2 1) (+ (+ 1 (+ beta alpha)) 2) (+ (+ alpha beta) (* beta alpha)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/ (+ 1 alpha) (* beta beta)) (/ alpha (* beta beta)) (* beta beta) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ 1 alpha) (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (+ (+ 3 alpha) beta) (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (/ (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha)) (/ (/ (neg (+ (* (+ 1 alpha) beta) (+ 1 alpha))) (* (+ (+ 2 beta) alpha) (neg (+ (+ 2 beta) alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (neg (+ (* (+ 1 alpha) beta) (+ 1 alpha))) (neg (+ (+ 2 beta) alpha)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha))) (+ (+ (+ alpha beta) (* 2 1)) 1) (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (/ (neg (+ (* (+ 1 alpha) beta) (+ 1 alpha))) (* (+ (+ 2 beta) alpha) (neg (+ (+ 2 beta) alpha)))) (* (+ (+ 2 beta) alpha) (neg (+ (+ 2 beta) alpha))))
3.0ms
beta
@0
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3.0ms
alpha
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((/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ 1 (+ beta alpha)) 2)) (* 2 1) (+ (+ 1 (+ beta alpha)) 2) (+ (+ alpha beta) (* beta alpha)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/ (+ 1 alpha) (* beta beta)) (/ alpha (* beta beta)) (* beta beta) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ 1 alpha) (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (+ (+ 3 alpha) beta) (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (/ (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha)) (/ (/ (neg (+ (* (+ 1 alpha) beta) (+ 1 alpha))) (* (+ (+ 2 beta) alpha) (neg (+ (+ 2 beta) alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (neg (+ (* (+ 1 alpha) beta) (+ 1 alpha))) (neg (+ (+ 2 beta) alpha)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha))) (+ (+ (+ alpha beta) (* 2 1)) 1) (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (/ (neg (+ (* (+ 1 alpha) beta) (+ 1 alpha))) (* (+ (+ 2 beta) alpha) (neg (+ (+ 2 beta) alpha)))) (* (+ (+ 2 beta) alpha) (neg (+ (+ 2 beta) alpha))))

simplify275.0ms (2.7%)

Memory
-21.9MiB live, 327.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120222126
1429221081
0849620033
Stop Event
iter limit
node limit
Counts
552 → 536
Calls
Call 1
Inputs
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beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
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(/ (+ 1 alpha) (pow beta 2))
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(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
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(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(+ 1 alpha)
(- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))
(- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))
(- (+ 1 (+ alpha (+ (/ 1 beta) (+ (/ alpha beta) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 3)))))) (+ (/ (* (+ 1 alpha) (+ 2 alpha)) beta) (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 5 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 alpha))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(/ (+ 1 alpha) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ alpha (* 2 alpha))) (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))))) (+ (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta) (+ (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))) (pow beta 2))))) (pow beta 2))
(pow beta 3)
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (/ alpha beta)))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (+ (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (pow beta 3)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))))
(/ (+ 1 alpha) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ alpha (* 2 alpha))) (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))))) (+ (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta) (+ (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))) (pow beta 2))))) (pow beta 2))
(* -1 (* beta (+ 1 alpha)))
(* beta (- (* -1 (/ (+ 1 alpha) beta)) (+ 1 alpha)))
(* beta (- (* -1 (/ (+ 1 alpha) beta)) (+ 1 alpha)))
(* beta (- (* -1 (/ (+ 1 alpha) beta)) (+ 1 alpha)))
(* -1 beta)
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(+ 1 alpha)
(- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))
(- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))
(- (+ 1 (+ alpha (+ (/ 1 beta) (+ (/ alpha beta) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 3)))))) (+ (/ (* (+ 1 alpha) (+ 2 alpha)) beta) (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))))
(/ (+ 1 alpha) beta)
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))))) (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta) (+ (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))))) beta)
(/ (+ 1 alpha) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ alpha (* 2 alpha))) (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))))) (+ (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta) (+ (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))) (pow beta 2))))) (pow beta 2))
beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 5 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(/ (+ 1 alpha) beta)
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))))) (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta) (+ (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))))) beta)
(* -1 (pow beta 2))
(* (pow beta 2) (- (* -1 (/ (+ 4 (* 2 alpha)) beta)) 1))
(* (pow beta 2) (- (+ (* -1 (/ (+ 4 (* 2 alpha)) beta)) (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) 1))
(* (pow beta 2) (- (+ (* -1 (/ (+ 4 (* 2 alpha)) beta)) (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) 1))
(* -1 (/ (- (* -1 alpha) 1) (pow beta 2)))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (+ (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta) (/ (* (pow (+ 2 alpha) 2) (* (+ 3 alpha) (- (* -1 alpha) 1))) beta))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 alpha) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ alpha beta))) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ alpha beta))) 1)))
(* -1 (* beta (- (+ (* -1 alpha) (* -1 (/ alpha beta))) 1)))
(* -1 (/ (- (* -1 alpha) 1) (pow beta 2)))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (+ (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta) (/ (* (pow (+ 2 alpha) 2) (* (+ 3 alpha) (- (* -1 alpha) 1))) beta))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(* -1 (- (* -1 alpha) 1))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* beta (+ 1 alpha))
(* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (+ 1 alpha) beta)))))
(* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (+ 1 alpha) beta)))))
(* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (+ 1 alpha) beta)))))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta)) (* -1 (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha)))))))) beta)))) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (/ (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))) beta)) (+ (* -1 (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha)))))))) beta)) (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))))))) beta))) (+ (* -1 (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))))))) beta))) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))) beta)))) (pow beta 2))
(pow beta 3)
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))))) beta)) 1)))
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(/ (+ 1 alpha) (pow beta 2))
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alpha
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alpha
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alpha
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alpha
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alpha
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(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(pow alpha 3)
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (* 2 (+ 2 beta)))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 2 (+ 2 beta))))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (* -1 (pow (+ 2 beta) 2)))) alpha)) (* 2 (+ 2 beta))))) alpha)) 1)))
(/ (- 1 (* -1 beta)) (pow alpha 2))
(/ (- (+ 1 (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 5 (* 2 beta)))) (- 1 (* -1 beta)))) alpha))) (* -1 beta)) (pow alpha 2))
(/ (- (+ 1 (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (/ (* (+ (* -1 (+ 2 beta)) (* -1 (+ 5 (* 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 5 (* 2 beta)))) (- 1 (* -1 beta))))) alpha) (/ (* (+ (* (+ 2 beta) (+ 3 beta)) (* (+ 2 beta) (+ 5 (* 2 beta)))) (- 1 (* -1 beta))) alpha))) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 5 (* 2 beta)))) (- 1 (* -1 beta)))) alpha))) (* -1 beta)) (pow alpha 2))
(/ (- (+ 1 (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ 2 beta)) (* -1 (+ 5 (* 2 beta)))) (+ (* (+ (* -1 (+ 2 beta)) (* -1 (+ 5 (* 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 5 (* 2 beta)))) (- 1 (* -1 beta))))) (* (+ (* (+ 2 beta) (+ 3 beta)) (* (+ 2 beta) (+ 5 (* 2 beta)))) (- 1 (* -1 beta))))) alpha)) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- 1 (* -1 beta)))) alpha)) (/ (* (+ (* (+ 2 beta) (+ 3 beta)) (* (+ 2 beta) (+ 5 (* 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 5 (* 2 beta)))) (- 1 (* -1 beta))))) alpha))) (+ (* (+ (* -1 (+ 2 beta)) (* -1 (+ 5 (* 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 5 (* 2 beta)))) (- 1 (* -1 beta))))) (* (+ (* (+ 2 beta) (+ 3 beta)) (* (+ 2 beta) (+ 5 (* 2 beta)))) (- 1 (* -1 beta))))) alpha))) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 5 (* 2 beta)))) (- 1 (* -1 beta)))) alpha))) (* -1 beta)) (pow alpha 2))
(* -1 (* alpha (- 1 (* -1 beta))))
(* -1 (* alpha (- (+ 1 (+ (/ 1 alpha) (/ beta alpha))) (* -1 beta))))
(* -1 (* alpha (- (+ 1 (+ (/ 1 alpha) (/ beta alpha))) (* -1 beta))))
(* -1 (* alpha (- (+ 1 (+ (/ 1 alpha) (/ beta alpha))) (* -1 beta))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(* -1 (- (* -1 beta) 1))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(* -1 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (* -2 (/ (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(/ (- 1 (* -1 beta)) alpha)
(* -1 (/ (+ (* -1 (- 1 (* -1 beta))) (* -1 (/ (- (+ 1 beta) (* (+ 4 (* 2 beta)) (- 1 (* -1 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (- 1 (* -1 beta))) (* -1 (/ (- (+ 1 (+ beta (+ (* -1 (/ (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 4 (* 2 beta)) (- 1 (* -1 beta))))) alpha)) (* -1 (/ (* (pow (+ 2 beta) 2) (- 1 (* -1 beta))) alpha))))) (* (+ 4 (* 2 beta)) (- 1 (* -1 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (- 1 (* -1 beta))) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (/ (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 4 (* 2 beta)) (- 1 (* -1 beta)))))) (* -1 (* (pow (+ 2 beta) 2) (- 1 (* -1 beta)))))) alpha) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 4 (* 2 beta)) (- 1 (* -1 beta))))) alpha)) (+ (* -1 (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 4 (* 2 beta)) (- 1 (* -1 beta)))))) (* -1 (* (pow (+ 2 beta) 2) (- 1 (* -1 beta)))))) alpha)))) (* (+ 4 (* 2 beta)) (- 1 (* -1 beta)))) alpha))) alpha))
(* -1 (pow alpha 2))
(* (pow alpha 2) (- (* -1 (/ (+ 4 (* 2 beta)) alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (+ 4 (+ (* 2 beta) (/ (pow (+ 2 beta) 2) alpha))) alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (+ 4 (+ (* 2 beta) (/ (pow (+ 2 beta) 2) alpha))) alpha)) 1))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))
(fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) beta (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))))
(fma.f64 (fma.f64 (neg.f64 beta) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64)))))) beta (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) (+.f64 #s(literal 3 binary64) alpha)) (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) beta (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))))) beta (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64)))))) beta (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))))
(+.f64 #s(literal 3 binary64) alpha)
(+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)
(+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)
(+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)
alpha
(fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta alpha)
(fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta alpha)
(fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta alpha)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))
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beta
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#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) alpha)
(*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))
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(+.f64 #s(literal 3 binary64) beta)
(+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)
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(+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)
(+.f64 #s(literal 1 binary64) beta)
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
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(*.f64 (+.f64 #s(literal 3 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))
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(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 #s(literal 3 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))
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alpha
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(-.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) (neg.f64 alpha)) (*.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
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(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) alpha)) (*.f64 alpha alpha))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (-.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) (neg.f64 alpha)))) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) alpha)) (*.f64 alpha alpha))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (-.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) alpha) (fma.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) beta))) alpha) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (fma.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) beta)))) alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta))) alpha)) (*.f64 alpha alpha))
alpha
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal 1 binary64)) (neg.f64 alpha))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal 1 binary64)) (neg.f64 alpha))
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(*.f64 alpha alpha)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -3 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) (*.f64 alpha alpha))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) (-.f64 #s(literal -3 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) alpha)) (*.f64 alpha alpha))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) (-.f64 #s(literal -3 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) alpha)) (*.f64 alpha alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) beta))) alpha)) (neg.f64 alpha))
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(*.f64 (neg.f64 alpha) alpha)
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 alpha alpha))
(*.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 alpha alpha))
(*.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 alpha alpha))

rewrite401.0ms (3.9%)

Memory
3.7MiB live, 517.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053387
088368
1416317
23865317
011067316
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 088
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 alpha (*.f64 beta beta))
(*.f64 beta beta)
#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha))
(+.f64 #s(literal 1 binary64) alpha)
(*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)
(fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(/.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)))
(neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
#s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta))
(*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
Outputs
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eval304.0ms (2.9%)

Memory
-9.6MiB live, 506.0MiB allocated
Compiler

Compiled 99 128 to 5 452 computations (94.5% saved)

prune96.0ms (0.9%)

Memory
-5.3MiB live, 186.3MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1 847161 863
Fresh12820
Picked325
Done011
Total1 862271 889
Accuracy
100.0%
Counts
1 889 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.1%
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 5 binary64)) alpha (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
41.2%
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
92.9%
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
54.7%
(/.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))) #s(approx (* (+ (+ 2 beta) alpha) (neg (+ (+ 2 beta) alpha))) (*.f64 (neg.f64 beta) beta))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
93.7%
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
61.2%
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal 1 binary64)) (neg.f64 alpha))))
67.3%
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
93.3%
(/.f64 (/.f64 #s(approx (neg (+ (* (+ 1 alpha) beta) (+ 1 alpha))) (-.f64 #s(literal -1 binary64) beta)) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
86.4%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
61.1%
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha (/.f64 #s(literal 1 binary64) beta))) (/.f64 alpha beta)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
61.6%
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
93.3%
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
64.6%
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
64.6%
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (+ (+ 3 alpha) beta) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
64.6%
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
5.3%
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 alpha alpha)))
88.2%
(/.f64 #s(approx (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
69.8%
(/.f64 #s(approx (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
64.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)))))
61.5%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
55.3%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))))
58.8%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
55.6%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
59.5%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (pow.f64 beta #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) alpha)))
37.6%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
35.3%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
58.2%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) alpha)))
Compiler

Compiled 2 101 to 1 160 computations (44.8% saved)

simplify195.0ms (1.9%)

Memory
19.4MiB live, 234.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
cost-diff0
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
cost-diff0
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
cost-diff128
(*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)))
cost-diff0
(+.f64 #s(literal 1 binary64) beta)
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))
cost-diff0
#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))
cost-diff0
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
cost-diff0
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))
cost-diff0
(*.f64 alpha alpha)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
cost-diff0
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))))
cost-diff-384
(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))
cost-diff0
(*.f64 beta beta)
cost-diff0
#s(approx (+ 1 alpha) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
cost-diff0
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
cost-diff192
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
cost-diff320
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
cost-diff384
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051448
084440
1190440
2544426
32429426
44286426
56683426
08098420
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
beta
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
(+.f64 alpha beta)
alpha
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 beta alpha))
(+.f64 beta alpha)
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))
#s(approx (+ 1 alpha) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 beta beta)
beta
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha)))
(-.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
#s(literal 1 binary64)
(*.f64 alpha alpha)
alpha
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))
(*.f64 beta beta)
beta
(-.f64 #s(literal 1 binary64) alpha)
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
beta
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
(*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)
(+.f64 #s(literal 3 binary64) alpha)
#s(literal 3 binary64)
alpha
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
beta
(+.f64 #s(literal 1 binary64) alpha)
alpha
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
#s(literal -2 binary64)
(+.f64 beta alpha)
(*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)))
(+.f64 #s(literal 3 binary64) (+.f64 beta alpha))
#s(literal 3 binary64)
Outputs
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 beta #s(literal -2 binary64)))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 beta #s(literal -2 binary64)))) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 beta #s(literal -2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 beta #s(literal -2 binary64)))
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
beta
(-.f64 beta #s(literal -2 binary64))
#s(literal 2 binary64)
(-.f64 (+.f64 beta alpha) #s(literal -2 binary64))
(+.f64 beta alpha)
alpha
#s(literal 2 binary64)
(-.f64 (+.f64 beta alpha) #s(literal -3 binary64))
(+.f64 (+.f64 beta alpha) #s(literal 1 binary64))
(+.f64 beta alpha)
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
(/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta)
#s(approx (+ 1 alpha) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 beta beta)
beta
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (-.f64 alpha #s(literal 1 binary64))) beta) beta))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (-.f64 alpha #s(literal 1 binary64))) beta) beta)
(-.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
#s(literal 1 binary64)
(*.f64 alpha alpha)
alpha
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) alpha) beta) beta)
(*.f64 beta beta)
beta
(-.f64 #s(literal 1 binary64) alpha)
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 beta #s(literal -2 binary64)))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))))
#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 beta #s(literal -2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 beta #s(literal -2 binary64)))
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
beta
(-.f64 beta #s(literal -2 binary64))
#s(literal 2 binary64)
(*.f64 (-.f64 (+.f64 beta alpha) #s(literal -3 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
(-.f64 (+.f64 beta alpha) #s(literal -3 binary64))
(-.f64 alpha #s(literal -3 binary64))
#s(literal 3 binary64)
alpha
(-.f64 (+.f64 beta alpha) #s(literal -2 binary64))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 (+.f64 beta alpha) (-.f64 #s(literal -5 binary64) (+.f64 beta alpha)) #s(literal -6 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta))
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
beta
(+.f64 #s(literal 1 binary64) alpha)
alpha
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
#s(literal -2 binary64)
(+.f64 beta alpha)
(fma.f64 (+.f64 beta alpha) (-.f64 #s(literal -5 binary64) (+.f64 beta alpha)) #s(literal -6 binary64))
(-.f64 (+.f64 beta alpha) #s(literal -3 binary64))
#s(literal 3 binary64)

localize209.0ms (2%)

Memory
-10.0MiB live, 300.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
accuracy0.0234375
(*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)))
accuracy1.8589665456861826
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
accuracy3.8014355285336228
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
accuracy0
(+.f64 #s(literal 1 binary64) beta)
accuracy0.0234375
(*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
accuracy1.8589665456861826
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
accuracy7.963404050457704
#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))
accuracy0
(*.f64 alpha alpha)
accuracy0.015625
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))
accuracy4.151116460730354
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha)))
accuracy24.58556437764052
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))))
accuracy0
(*.f64 beta beta)
accuracy1.9019352956861872
(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))
accuracy7.978595484408824
#s(approx (+ 1 alpha) #s(literal 1 binary64))
accuracy24.58556437764052
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
accuracy0.0078125
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
accuracy0.01953125
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
accuracy0.09765625
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
accuracy7.963404050457704
#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))
Samples
140.0ms256×0valid
Compiler

Compiled 890 to 97 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-add: 38.0ms (37.8% of total)
ival-sub: 24.0ms (23.9% of total)
ival-mult: 20.0ms (19.9% of total)
ival-div: 17.0ms (16.9% of total)
exact: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.6%)

Memory
13.2MiB live, 131.4MiB allocated
Counts
22 → 432
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ 1 alpha) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 beta beta) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 alpha alpha) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (*.f64 beta beta) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (*.f64 beta beta) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (*.f64 beta beta) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (*.f64 beta beta) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
13.0ms
alpha
@0
((/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ 1 (+ beta alpha)) 2)) (* 2 1) (+ (+ 1 (+ beta alpha)) 2) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (+ 1 alpha) (* beta beta) (/ (+ 1 alpha) (* beta beta)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (- 1 (* alpha alpha)) (* alpha alpha) (* (* beta beta) (- 1 alpha)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (+ 1 beta) (+ 2 beta)) (+ 1 beta) (* (- -2 (+ beta alpha)) (+ 3 (+ beta alpha))) (/ (/ (* (+ 1 beta) (+ 1 alpha)) (- -2 (+ beta alpha))) (* (- -2 (+ beta alpha)) (+ 3 (+ beta alpha)))) (/ (* (+ 1 beta) (+ 1 alpha)) (- -2 (+ beta alpha))) (* (+ 1 beta) (+ 1 alpha)) (/ (- 1 (* alpha alpha)) (* (* beta beta) (- 1 alpha))) (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)))
6.0ms
beta
@inf
((/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ 1 (+ beta alpha)) 2)) (* 2 1) (+ (+ 1 (+ beta alpha)) 2) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (+ 1 alpha) (* beta beta) (/ (+ 1 alpha) (* beta beta)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (- 1 (* alpha alpha)) (* alpha alpha) (* (* beta beta) (- 1 alpha)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (+ 1 beta) (+ 2 beta)) (+ 1 beta) (* (- -2 (+ beta alpha)) (+ 3 (+ beta alpha))) (/ (/ (* (+ 1 beta) (+ 1 alpha)) (- -2 (+ beta alpha))) (* (- -2 (+ beta alpha)) (+ 3 (+ beta alpha)))) (/ (* (+ 1 beta) (+ 1 alpha)) (- -2 (+ beta alpha))) (* (+ 1 beta) (+ 1 alpha)) (/ (- 1 (* alpha alpha)) (* (* beta beta) (- 1 alpha))) (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)))
4.0ms
alpha
@-inf
((/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ 1 (+ beta alpha)) 2)) (* 2 1) (+ (+ 1 (+ beta alpha)) 2) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (+ 1 alpha) (* beta beta) (/ (+ 1 alpha) (* beta beta)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (- 1 (* alpha alpha)) (* alpha alpha) (* (* beta beta) (- 1 alpha)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (+ 1 beta) (+ 2 beta)) (+ 1 beta) (* (- -2 (+ beta alpha)) (+ 3 (+ beta alpha))) (/ (/ (* (+ 1 beta) (+ 1 alpha)) (- -2 (+ beta alpha))) (* (- -2 (+ beta alpha)) (+ 3 (+ beta alpha)))) (/ (* (+ 1 beta) (+ 1 alpha)) (- -2 (+ beta alpha))) (* (+ 1 beta) (+ 1 alpha)) (/ (- 1 (* alpha alpha)) (* (* beta beta) (- 1 alpha))) (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)))
4.0ms
beta
@0
((/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ 1 (+ beta alpha)) 2)) (* 2 1) (+ (+ 1 (+ beta alpha)) 2) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (+ 1 alpha) (* beta beta) (/ (+ 1 alpha) (* beta beta)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (- 1 (* alpha alpha)) (* alpha alpha) (* (* beta beta) (- 1 alpha)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (+ 1 beta) (+ 2 beta)) (+ 1 beta) (* (- -2 (+ beta alpha)) (+ 3 (+ beta alpha))) (/ (/ (* (+ 1 beta) (+ 1 alpha)) (- -2 (+ beta alpha))) (* (- -2 (+ beta alpha)) (+ 3 (+ beta alpha)))) (/ (* (+ 1 beta) (+ 1 alpha)) (- -2 (+ beta alpha))) (* (+ 1 beta) (+ 1 alpha)) (/ (- 1 (* alpha alpha)) (* (* beta beta) (- 1 alpha))) (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)))
3.0ms
beta
@-inf
((/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ 1 (+ beta alpha)) 2)) (* 2 1) (+ (+ 1 (+ beta alpha)) 2) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (+ 1 alpha) (* beta beta) (/ (+ 1 alpha) (* beta beta)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (- 1 (* alpha alpha)) (* alpha alpha) (* (* beta beta) (- 1 alpha)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/ (+ 1 beta) (+ 2 beta)) (+ 1 beta) (* (- -2 (+ beta alpha)) (+ 3 (+ beta alpha))) (/ (/ (* (+ 1 beta) (+ 1 alpha)) (- -2 (+ beta alpha))) (* (- -2 (+ beta alpha)) (+ 3 (+ beta alpha)))) (/ (* (+ 1 beta) (+ 1 alpha)) (- -2 (+ beta alpha))) (* (+ 1 beta) (+ 1 alpha)) (/ (- 1 (* alpha alpha)) (* (* beta beta) (- 1 alpha))) (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)))

simplify402.0ms (3.9%)

Memory
-2.4MiB live, 341.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104119037
1372918158
0860117278
Stop Event
iter limit
node limit
Counts
432 → 424
Calls
Call 1
Inputs
(/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+ (* beta (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (+ (/ 1 (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (+ (/ alpha (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ 3 alpha)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(/ (+ 1 alpha) (pow (+ 2 alpha) 2))
(+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
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(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (* -2 (/ (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(/ alpha (pow beta 2))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(* -1 (pow alpha 2))
(* (pow alpha 2) (- (/ 1 (pow alpha 2)) 1))
(* (pow alpha 2) (- (/ 1 (pow alpha 2)) 1))
(* (pow alpha 2) (- (/ 1 (pow alpha 2)) 1))
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(* -1 (* alpha (pow beta 2)))
(* -1 (* alpha (+ (* -1 (/ (pow beta 2) alpha)) (pow beta 2))))
(* -1 (* alpha (+ (* -1 (/ (pow beta 2) alpha)) (pow beta 2))))
(* -1 (* alpha (+ (* -1 (/ (pow beta 2) alpha)) (pow beta 2))))
(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(* -1 (- (* -1 beta) 1))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(* -1 (pow alpha 2))
(* (pow alpha 2) (- (* -1 (/ (+ 5 (* 2 beta)) alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (+ 5 (+ (* 2 beta) (/ (* (+ 2 beta) (+ 3 beta)) alpha))) alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (+ 5 (+ (* 2 beta) (/ (* (+ 2 beta) (+ 3 beta)) alpha))) alpha)) 1))
(/ (+ 1 beta) (pow alpha 2))
(/ (+ 1 (+ beta (* -1 (/ (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha)))) (pow alpha 2))
(/ (+ 1 (+ beta (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 1 beta) (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2)))) alpha)) (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta)))))))) alpha)))) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha)))) (pow alpha 2))
(/ (+ 1 (+ beta (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) alpha)) (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta)))))))) alpha)) (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 1 beta) (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))))) (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))))))) alpha))) (+ (* -1 (* (+ 1 beta) (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))))) (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))))))) alpha))) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha)))) (pow alpha 2))
(* -1 (+ 1 beta))
(+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta))) alpha)))
(+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) alpha)))) (* (+ 1 beta) (+ 2 beta))) alpha)))
(+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) alpha)) (* -1 (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))))) alpha)))) (* (+ 1 beta) (+ 2 beta))) alpha)))
(* alpha (+ 1 beta))
(* -1 (* alpha (+ (* -1 (+ 1 beta)) (* -1 (/ (+ 1 beta) alpha)))))
(* -1 (* alpha (+ (* -1 (+ 1 beta)) (* -1 (/ (+ 1 beta) alpha)))))
(* -1 (* alpha (+ (* -1 (+ 1 beta)) (* -1 (/ (+ 1 beta) alpha)))))
(/ alpha (pow beta 2))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))
(fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) beta (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))))
(fma.f64 (fma.f64 (neg.f64 beta) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64)))))) beta (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) (+.f64 #s(literal 3 binary64) alpha)) (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64)))))) beta (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64))))))) beta (-.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 2 binary64)))))) beta (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) alpha))))
(+.f64 #s(literal 3 binary64) alpha)
(+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)
(+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)
(+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))
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#s(literal 1 binary64)
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alpha
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(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) (neg.f64 alpha))
(/.f64 alpha (*.f64 beta beta))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) alpha)
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) alpha)
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) alpha)
(*.f64 alpha alpha)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -3 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) (*.f64 alpha alpha))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) (-.f64 (-.f64 #s(literal -3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) (*.f64 alpha alpha))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) (-.f64 (-.f64 #s(literal -3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) (*.f64 alpha alpha))

rewrite248.0ms (2.4%)

Memory
0.1MiB live, 325.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051336
084328
1445308
24716304
09135298
Stop Event
iter limit
node limit
iter limit
Counts
22 → 808
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (+ 1 alpha) #s(literal 1 binary64))
(*.f64 beta beta)
(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))))
(-.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(*.f64 alpha alpha)
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
#s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))
(+.f64 #s(literal 1 binary64) beta)
(*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha)))
(*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
Outputs
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eval283.0ms (2.7%)

Memory
15.8MiB live, 357.3MiB allocated
Compiler

Compiled 76 725 to 3 886 computations (94.9% saved)

prune113.0ms (1.1%)

Memory
-4.6MiB live, 166.0MiB allocated
Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New1 374121 386
Fresh21719
Picked415
Done033
Total1 380331 413
Accuracy
100.0%
Counts
1 413 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.1%
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 5 binary64)) alpha (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
41.2%
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
54.7%
(/.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))) #s(approx (* (+ (+ 2 beta) alpha) (neg (+ (+ 2 beta) alpha))) (*.f64 (neg.f64 beta) beta))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
93.7%
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
61.2%
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal 1 binary64)) (neg.f64 alpha))))
67.3%
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
55.1%
(/.f64 (/.f64 #s(approx (* (+ 1 beta) (+ 1 alpha)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
93.3%
(/.f64 (/.f64 #s(approx (neg (+ (* (+ 1 alpha) beta) (+ 1 alpha))) (-.f64 #s(literal -1 binary64) beta)) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
86.4%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
97.1%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
61.1%
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha (/.f64 #s(literal 1 binary64) beta))) (/.f64 alpha beta)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
61.6%
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
63.3%
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (/.f64 (-.f64 (*.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
93.3%
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
64.6%
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
64.6%
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (+ (+ 3 alpha) beta) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
64.6%
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
5.3%
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 alpha alpha)))
70.1%
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
72.6%
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
88.2%
(/.f64 #s(approx (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
69.8%
(/.f64 #s(approx (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
64.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)))))
99.8%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
61.5%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
55.9%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
31.5%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) #s(approx (* (* beta beta) (- 1 alpha)) (*.f64 (*.f64 (neg.f64 beta) beta) alpha))))
58.8%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
55.6%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
56.0%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (pow.f64 beta #s(literal -2 binary64)) #s(approx (+ 1 alpha) #s(literal 1 binary64))))
58.2%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* alpha alpha)) (* (* beta beta) (- 1 alpha))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) alpha)))
37.6%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
35.3%
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
Compiler

Compiled 3 912 to 1 042 computations (73.4% saved)

regimes63.0ms (0.6%)

Memory
-14.6MiB live, 140.6MiB allocated
Counts
64 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (+ (+ 3 alpha) beta) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) #s(approx (* (* beta beta) (- 1 alpha)) (*.f64 (*.f64 (neg.f64 beta) beta) alpha))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(/.f64 #s(approx (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* alpha alpha)) (* (* beta beta) (- 1 alpha))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))) #s(approx (* (+ (+ 2 beta) alpha) (neg (+ (+ 2 beta) alpha))) (*.f64 (neg.f64 beta) beta))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)))))
(/.f64 (/.f64 #s(approx (neg (+ (* (+ 1 alpha) beta) (+ 1 alpha))) (-.f64 #s(literal -1 binary64) beta)) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 1 binary64) beta)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(approx (* (+ 1 beta) (+ 1 alpha)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(/.f64 (/.f64 (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 5 binary64)) alpha (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal 1 binary64)) (neg.f64 alpha))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (/.f64 (-.f64 (*.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (+ 3 (+ beta alpha)) (+ (+ beta alpha) 2)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 5 binary64)) alpha (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)))))
(/.f64 (/.f64 (neg.f64 (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (neg.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (neg.f64 (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha (/.f64 #s(literal 1 binary64) beta))) (/.f64 alpha beta)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha (/.f64 #s(literal 1 binary64) beta))) (/.f64 alpha beta)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta))) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(approx (+ (+ (+ alpha beta) (* beta alpha)) 1) (fma.f64 (+.f64 (+.f64 alpha (/.f64 #s(literal 1 binary64) beta)) (/.f64 alpha beta)) beta beta)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (pow.f64 beta #s(literal -2 binary64)) #s(approx (+ 1 alpha) #s(literal 1 binary64))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (*.f64 (pow.f64 beta #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 (*.f64 (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)))
Outputs
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
Calls

3 calls:

20.0ms
beta
19.0ms
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
19.0ms
alpha
Results
AccuracySegmentsBranch
99.8%1alpha
99.8%1beta
99.8%1(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
Compiler

Compiled 37 to 18 computations (51.4% saved)

regimes44.0ms (0.4%)

Memory
18.4MiB live, 104.6MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (+ (+ 3 alpha) beta) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) #s(approx (* (* beta beta) (- 1 alpha)) (*.f64 (*.f64 (neg.f64 beta) beta) alpha))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(/.f64 #s(approx (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* alpha alpha)) (* (* beta beta) (- 1 alpha))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))) #s(approx (* (+ (+ 2 beta) alpha) (neg (+ (+ 2 beta) alpha))) (*.f64 (neg.f64 beta) beta))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)))))
(/.f64 (/.f64 #s(approx (neg (+ (* (+ 1 alpha) beta) (+ 1 alpha))) (-.f64 #s(literal -1 binary64) beta)) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 1 binary64) beta)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(approx (* (+ 1 beta) (+ 1 alpha)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(/.f64 (/.f64 (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 5 binary64)) alpha (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal 1 binary64)) (neg.f64 alpha))))
Outputs
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
Calls

3 calls:

14.0ms
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
13.0ms
beta
13.0ms
alpha
Results
AccuracySegmentsBranch
99.5%2alpha
99.8%2beta
99.0%2(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
Compiler

Compiled 37 to 18 computations (51.4% saved)

regimes68.0ms (0.7%)

Memory
-14.9MiB live, 22.9MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (+ (+ 3 alpha) beta) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) #s(approx (* (* beta beta) (- 1 alpha)) (*.f64 (*.f64 (neg.f64 beta) beta) alpha))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(/.f64 #s(approx (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* alpha alpha)) (* (* beta beta) (- 1 alpha))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))) #s(approx (* (+ (+ 2 beta) alpha) (neg (+ (+ 2 beta) alpha))) (*.f64 (neg.f64 beta) beta))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)))))
(/.f64 (/.f64 #s(approx (neg (+ (* (+ 1 alpha) beta) (+ 1 alpha))) (-.f64 #s(literal -1 binary64) beta)) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 1 binary64) beta)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (fma.f64 beta alpha (+.f64 beta alpha)) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(approx (* (+ 1 beta) (+ 1 alpha)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
Outputs
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
Calls

1 calls:

66.0ms
beta
Results
AccuracySegmentsBranch
99.7%2beta
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes21.0ms (0.2%)

Memory
24.4MiB live, 24.4MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (+ (+ 3 alpha) beta) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) #s(approx (* (* beta beta) (- 1 alpha)) (*.f64 (*.f64 (neg.f64 beta) beta) alpha))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(/.f64 #s(approx (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (- 1 (* alpha alpha)) (* (* beta beta) (- 1 alpha))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (* (+ (+ (+ alpha beta) (* 2 1)) 1) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha))) #s(approx (* (+ (+ 2 beta) alpha) (neg (+ (+ 2 beta) alpha))) (*.f64 (neg.f64 beta) beta))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)))))
(/.f64 (/.f64 #s(approx (neg (+ (* (+ 1 alpha) beta) (+ 1 alpha))) (-.f64 #s(literal -1 binary64) beta)) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) alpha) beta (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(approx (/ (+ (+ beta alpha) 2) (+ (+ (* beta alpha) (+ beta alpha)) 1)) (/.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 1 binary64) beta)))))
Outputs
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
Calls

2 calls:

10.0ms
alpha
9.0ms
beta
Results
AccuracySegmentsBranch
98.9%2alpha
99.3%2beta
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes20.0ms (0.2%)

Memory
-23.7MiB live, 14.2MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (+ (+ 3 alpha) beta) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) #s(approx (* (* beta beta) (- 1 alpha)) (*.f64 (*.f64 (neg.f64 beta) beta) alpha))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(/.f64 #s(approx (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
Outputs
(/.f64 #s(approx (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
Calls

1 calls:

19.0ms
beta
Results
AccuracySegmentsBranch
99.2%2beta
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes20.0ms (0.2%)

Memory
30.3MiB live, 30.3MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (+ (+ 3 alpha) beta) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) #s(approx (* (* beta beta) (- 1 alpha)) (*.f64 (*.f64 (neg.f64 beta) beta) alpha))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(/.f64 #s(approx (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
Outputs
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
Calls

3 calls:

6.0ms
beta
6.0ms
alpha
5.0ms
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
81.2%2alpha
98.0%3(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
98.0%2beta
Compiler

Compiled 37 to 18 computations (51.4% saved)

regimes19.0ms (0.2%)

Memory
-32.7MiB live, 9.3MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (+ (+ 3 alpha) beta) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) #s(approx (* (* beta beta) (- 1 alpha)) (*.f64 (*.f64 (neg.f64 beta) beta) alpha))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
Outputs
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
Calls

1 calls:

18.0ms
beta
Results
AccuracySegmentsBranch
97.9%2beta
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (+ (+ 3 alpha) beta) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) #s(approx (* (* beta beta) (- 1 alpha)) (*.f64 (*.f64 (neg.f64 beta) beta) alpha))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
Outputs
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
Calls

1 calls:

6.0ms
beta
Results
AccuracySegmentsBranch
97.9%2beta
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (+ (+ 3 alpha) beta) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) #s(approx (* (* beta beta) (- 1 alpha)) (*.f64 (*.f64 (neg.f64 beta) beta) alpha))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) alpha))))
Outputs
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)))
Calls

1 calls:

5.0ms
beta
Results
AccuracySegmentsBranch
97.5%2beta
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 #s(approx (+ (+ 3 alpha) beta) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
Outputs
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
Calls

1 calls:

4.0ms
beta
Results
AccuracySegmentsBranch
97.4%2beta
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes24.0ms (0.2%)

Memory
-20.1MiB live, 16.6MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
Outputs
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
Calls

3 calls:

17.0ms
beta
4.0ms
alpha
3.0ms
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
67.0%2alpha
66.5%2(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
67.3%2beta
Compiler

Compiled 37 to 18 computations (51.4% saved)

regimes10.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
Outputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
Calls

3 calls:

3.0ms
beta
3.0ms
alpha
3.0ms
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
61.5%1(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
61.5%1alpha
61.5%1beta
Compiler

Compiled 37 to 18 computations (51.4% saved)

regimes35.0ms (0.3%)

Memory
-16.2MiB live, 20.4MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 alpha alpha)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) beta))
Outputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta)))
Calls

3 calls:

28.0ms
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
3.0ms
beta
3.0ms
alpha
Results
AccuracySegmentsBranch
61.1%2alpha
60.8%2(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
61.1%2beta
Compiler

Compiled 37 to 18 computations (51.4% saved)

regimes8.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))
(/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 alpha alpha)))
Outputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
Calls

3 calls:

2.0ms
beta
2.0ms
alpha
2.0ms
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
58.8%1(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
58.8%1alpha
58.8%1beta
Compiler

Compiled 37 to 18 computations (51.4% saved)

regimes7.0ms (0.1%)

Memory
-22.4MiB live, 14.8MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
Outputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
Calls

3 calls:

4.0ms
alpha
2.0ms
beta
1.0ms
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
58.4%2alpha
55.6%1(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
55.6%1beta
Compiler

Compiled 37 to 18 computations (51.4% saved)

regimes4.0ms (0%)

Memory
13.2MiB live, 13.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
Outputs
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
Calls

3 calls:

1.0ms
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
1.0ms
alpha
1.0ms
beta
Results
AccuracySegmentsBranch
35.3%1(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
35.3%1beta
35.3%1alpha
Compiler

Compiled 37 to 18 computations (51.4% saved)

bsearch20.0ms (0.2%)

Memory
-29.2MiB live, 23.9MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
18.0ms
3.756883566030119e+77
4.472291154369941e+80
Samples
14.0ms80×0valid
Compiler

Compiled 328 to 209 computations (36.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 9.0ms (72.4% of total)
ival-add: 2.0ms (16.1% of total)
ival-div: 1.0ms (8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
1.4313236904712756e+20
2.671393121397122e+21
Samples
1.0ms16×0valid
Compiler

Compiled 96 to 58 computations (39.6% saved)

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

bsearch19.0ms (0.2%)

Memory
20.4MiB live, 20.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
3389908712903627.5
53833981106028536000.0
Samples
10.0ms128×0valid
Compiler

Compiled 662 to 435 computations (34.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (42.4% of total)
ival-div: 2.0ms (28.3% of total)
ival-mult: 1.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
3389908712903627.5
53833981106028536000.0
Samples
3.0ms32×0valid
Compiler

Compiled 326 to 207 computations (36.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (59.3% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
-21.1MiB live, 52.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
0.022332300608003185
113.29560584172128
Samples
13.0ms128×0valid
Compiler

Compiled 638 to 427 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 6.0ms (60.5% of total)
ival-div: 2.0ms (20.2% of total)
ival-mult: 2.0ms (20.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
-7.4MiB live, 31.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
0.022332300608003185
113.29560584172128
Samples
6.0ms80×0valid
Compiler

Compiled 686 to 419 computations (38.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (46.4% of total)
ival-div: 1.0ms (23.2% of total)
ival-mult: 1.0ms (23.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.022332300608003185
113.29560584172128
Compiler

Compiled 734 to 419 computations (42.9% saved)

bsearch6.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
0.022332300608003185
113.29560584172128
Samples
3.0ms32×0valid
Compiler

Compiled 710 to 403 computations (43.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (55.5% of total)
ival-add: 1.0ms (55.5% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.022332300608003185
113.29560584172128
Compiler

Compiled 694 to 387 computations (44.2% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
3.756883566030119e+77
4.472291154369941e+80
Compiler

Compiled 206 to 115 computations (44.2% saved)

bsearch39.0ms (0.4%)

Memory
-11.6MiB live, 32.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
1.8378777017670716e+148
1.9322020068747578e+151
Samples
10.0ms128×0valid
Compiler

Compiled 774 to 355 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (42.8% of total)
ival-div: 2.0ms (28.5% of total)
ival-mult: 2.0ms (28.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch54.0ms (0.5%)

Memory
1.5MiB live, 38.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
51.0ms
3.595129079556744e-20
5.012054673218609e-11
Samples
45.0ms144×0valid
Compiler

Compiled 884 to 406 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-add: 37.0ms (88.2% of total)
ival-div: 2.0ms (4.8% of total)
ival-mult: 2.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify50.0ms (0.5%)

Memory
-0.2MiB live, 70.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01261057
11521057
21601057
31681057
41731057
51751057
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 9999999999999999673560075006595519222746403606649979913266024618633003221909504 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(if (<=.f64 beta #s(literal 200000000000000000000 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha))) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(if (<=.f64 beta #s(literal 4800000000000000 binary64)) (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(if (<=.f64 beta #s(literal 50000000000000000 binary64)) (/.f64 #s(approx (+ (* (+ 1 alpha) beta) (+ 1 alpha)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (*.f64 #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(if (<=.f64 beta #s(literal 24 binary64)) (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(if (<=.f64 beta #s(literal 40 binary64)) (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
(if (<=.f64 beta #s(literal 40 binary64)) (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta))))
(if (<=.f64 beta #s(literal 48 binary64)) (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (/.f64 #s(approx (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(approx (+ (+ (+ alpha beta) (* 2 1)) 1) (+.f64 #s(literal 3 binary64) beta))))
(if (<=.f64 beta #s(literal 48 binary64)) (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) #s(approx (/ (+ 1 beta) (+ 2 beta)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)))
(if (<=.f64 beta #s(literal 500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 #s(literal 1 binary64) alpha)) #s(approx (* (+ (+ 3 alpha) beta) (+ (+ 2 beta) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 19000000000000000181005370498015285132882136182579457833963151908416447342987542462029133188756644381934627180380018273942664818992593125167385318260736 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 (/.f64 alpha beta) beta))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
(if (<=.f64 alpha #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) (*.f64 beta beta))) #s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))))
#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))
Outputs
(*.f64 (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (+.f64 #s(literal 3 binary64) (+.f64 alpha beta))) (/.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))
(if (<=.f64 beta #s(literal 9999999999999999673560075006595519222746403606649979913266024618633003221909504 binary64)) (/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) (*.f64 (+.f64 #s(literal 3 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) (/.f64 (/.f64 #s(approx (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+.f64 alpha #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 3 binary64) alpha) beta)) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
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#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
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#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta)))
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#s(approx (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1)) #s(approx (/ (+ 1 alpha) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))

soundness1.7s (16%)

Memory
-74.5MiB live, 1 247.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051336
084328
1445308
24716304
09135298
0119526588
1416825273
0833024131
0104119037
1372918158
0860117278
052443
092419
1426379
23666379
010216379
053387
088368
1416317
23865317
011067316
0120222126
1429221081
0849620033
07145886
125435628
082815340
01489
02685
112377
2116177
0816772
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 3 226 to 1 085 computations (66.4% saved)

preprocess149.0ms (1.4%)

Memory
2.8MiB live, 80.2MiB allocated
Compiler

Compiled 2 576 to 398 computations (84.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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