Details

Time bar (total: 14.3s)

analyze54.0ms (0.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%56.2%43.8%0%0%0%0
0%0%56.2%43.8%0%0%0%1
0%0%56.2%43.8%0%0%0%2
25%14%42.1%43.8%0%0%0%3
37.5%21.1%35.1%43.8%0%0%0%4
56.3%31.6%24.6%43.8%0%0%0%5
65.6%36.9%19.3%43.8%0%0%0%6
76.6%43%13.2%43.8%0%0%0%7
82%46.1%10.1%43.8%0%0%0%8
87.9%49.4%6.8%43.8%0%0%0%9
90.8%51%5.2%43.8%0%0%0%10
93.8%52.7%3.5%43.8%0%0%0%11
95.4%53.6%2.6%43.8%0%0%0%12
Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.4s (9.6%)

Results
856.0ms6476×body256valid
320.0ms1064×body1024valid
159.0ms639×body512valid
25.0ms77×body2048valid
Bogosity

preprocess28.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
994×rational.json-simplify-14
974×rational.json-simplify-31
948×rational.json-simplify-9
856×rational.json-simplify-21
840×rational.json-simplify-13
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01874
16274
221374
3133374
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) 1/2)
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 beta alpha) 2) 2)))
(-.f64 1/2 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(+.f64 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 2) 1/2)
(+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2) 1/2)
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 1/2)
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify45.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
980×rational.json-simplify-33
830×rational.json-simplify-24
464×rational.json-simplify-37
432×rational.json-simplify-28
428×rational.json-simplify-14
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
13737
212637
370037
4584137
Stop Event
1×node limit
Counts
1 → 6
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) 1/2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1/2)
(-.f64 1/2 (/.f64 (-.f64 alpha beta) (+.f64 4 (*.f64 2 (+.f64 beta alpha)))))
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))

eval1.0ms (0%)

Compiler

Compiled 80 to 50 computations (37.5% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New426
Fresh101
Picked000
Done000
Total527
Error
15.2b
Counts
7 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶15.2b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶15.2b
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))
✓0.1b
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta))
✓5.1b
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))
Compiler

Compiled 48 to 29 computations (39.6% saved)

series8.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
alpha
@0
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))
1.0ms
alpha
@inf
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))
1.0ms
beta
@0
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))
1.0ms
alpha
@-inf
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))
1.0ms
alpha
@0
(/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))

rewrite86.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
936×rational.json-simplify-25
866×rational.json-simplify-23
842×rational.json-1
842×rational.json-2
842×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01287
18187
228887
3177387
Stop Event
1×node limit
Counts
3 → 302
Calls
Call 1
Inputs
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 0 (+.f64 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))) (-.f64 (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))) (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 0 (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/2 beta) (+.f64 alpha (+.f64 beta 2))) (-.f64 0 (+.f64 (*.f64 1/2 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/2 beta) (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)))) (-.f64 -1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta))) (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (+.f64 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)) 3/2) (+.f64 (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta))) (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (-.f64 1/2 (*.f64 2 (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))))) (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha 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beta 2))) (-.f64 beta alpha))))) (+.f64 (*.f64 1/2 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (-.f64 2 (*.f64 2 (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))))) (+.f64 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (+.f64 2 (+.f64 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)) 3/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (+.f64 (/.f64 (*.f64 1/2 beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1/2)) (+.f64 (/.f64 (*.f64 1/2 beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (*.f64 1/2 beta) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (+.f64 (*.f64 2 (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)))) (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 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simplify227.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1610×rational.json-simplify-13
1440×rational.json-simplify-11
1260×rational.json-simplify-3
790×rational.json-simplify-9
646×rational.json-simplify-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087622036
1361121598
Stop Event
1×node limit
Counts
374 → 679
Calls
Call 1
Inputs
(-.f64 1/2 (*.f64 -1/2 (/.f64 beta (+.f64 beta 2))))
(-.f64 (+.f64 1/2 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha))) (*.f64 -1/2 (/.f64 beta (+.f64 beta 2))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))))) (*.f64 -1/2 (/.f64 beta (+.f64 beta 2))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 alpha 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)))))) (*.f64 -1/2 (/.f64 beta (+.f64 beta 2))))
(*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))))))
(*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 3))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))))))
(-.f64 1/2 (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))
(-.f64 (+.f64 1/2 (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 2 alpha))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))
1
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) beta)) 1)
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1
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(*.f64 -1/2 (/.f64 beta (+.f64 beta 2)))
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1/2
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1/2
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(*.f64 1/2 (/.f64 alpha (+.f64 2 alpha)))
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-1/2
(-.f64 (*.f64 1/2 (/.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) beta)) 1/2)
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-1/2
(-.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1/2)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) 1/2)
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(/.f64 1/2 (+.f64 beta 2))
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(/.f64 1/2 alpha)
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(/.f64 1/2 alpha)
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(/.f64 1/2 (+.f64 2 alpha))
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(/.f64 1/2 beta)
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(/.f64 1/2 beta)
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(/.f64 1/2 (/.f64 1 (*.f64 2 (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))))))
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(/.f64 (-.f64 (+.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta))) (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))) 1)
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(*.f64 -1 (-.f64 (-.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 -1 (-.f64 (+.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(*.f64 -1/2 (/.f64 -1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 -1/2 (-.f64 0 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 -1/2 (-.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1/2)
(*.f64 (/.f64 -1 (+.f64 alpha (+.f64 beta 2))) -1/2)
(*.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 2))) 2)
(neg.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))
Outputs
(-.f64 1/2 (*.f64 -1/2 (/.f64 beta (+.f64 beta 2))))
(-.f64 (+.f64 1/2 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha))) (*.f64 -1/2 (/.f64 beta (+.f64 beta 2))))
(+.f64 1/2 (-.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 -1/2 (/.f64 beta (+.f64 beta 2)))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))))) (*.f64 -1/2 (/.f64 beta (+.f64 beta 2))))
(+.f64 1/2 (-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 -1/2 (*.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)))) (*.f64 -1/2 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (-.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 -1/2 (/.f64 beta (+.f64 beta 2))))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 alpha 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)))))) (*.f64 -1/2 (/.f64 beta (+.f64 beta 2))))
(+.f64 1/2 (-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (*.f64 -1/2 (*.f64 (pow.f64 alpha 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 4))))))) (*.f64 -1/2 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 2))) alpha)) (-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (*.f64 -1/2 (*.f64 (pow.f64 alpha 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 4)))))) (*.f64 -1/2 (/.f64 beta (+.f64 beta 2))))))
(*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) -1/2) alpha)
(*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)))
(+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) -1/2) alpha) (*.f64 1/2 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (*.f64 1/2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) -1/2) alpha) (/.f64 -1/2 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (neg.f64 beta) (+.f64 beta 2)))))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 3))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) -1/2) alpha) (+.f64 (/.f64 -1/2 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 4)))))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 4)))))))
(*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) -1/2) alpha)
(*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)))
(+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) -1/2) alpha) (*.f64 1/2 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (*.f64 1/2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 3))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) -1/2) alpha) (/.f64 -1/2 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (neg.f64 beta) (+.f64 beta 2)))))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 3))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) -1/2) alpha) (+.f64 (/.f64 -1/2 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (neg.f64 beta) (+.f64 beta 2))))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 4)))))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 4)))))))
(-.f64 1/2 (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))
(-.f64 1/2 (/.f64 (*.f64 1/2 alpha) (+.f64 2 alpha)))
(-.f64 (+.f64 1/2 (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1/2 (-.f64 (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (/.f64 (*.f64 1/2 alpha) (+.f64 2 alpha))))
(+.f64 1/2 (-.f64 (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha)))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1/2 (-.f64 (+.f64 (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 -1/2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) (/.f64 (pow.f64 beta 2) (+.f64 2 alpha))))) (/.f64 (*.f64 1/2 alpha) (+.f64 2 alpha))))
(+.f64 1/2 (+.f64 (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (-.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) (/.f64 (pow.f64 beta 2) (+.f64 2 alpha)))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 2 alpha))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1/2 (-.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) (/.f64 (pow.f64 beta 2) (+.f64 2 alpha)))) (+.f64 (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 1/2 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 (*.f64 1/2 alpha) (+.f64 2 alpha))))
(+.f64 1/2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (-.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) (/.f64 (pow.f64 beta 2) (+.f64 2 alpha)))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha)))))))
1
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) beta)) 1)
(+.f64 1 (/.f64 -1/2 (/.f64 beta (-.f64 alpha (+.f64 -2 (neg.f64 alpha))))))
(+.f64 1 (*.f64 -1/2 (/.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) beta)))
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) beta)) (+.f64 1 (*.f64 1/2 (/.f64 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 2)))))
(+.f64 1 (+.f64 (/.f64 -1/2 (/.f64 beta (-.f64 alpha (+.f64 -2 (neg.f64 alpha))))) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (/.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) (pow.f64 beta 2))))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) beta)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (/.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) (pow.f64 beta 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) beta)) (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 2))))))
(+.f64 1 (+.f64 (/.f64 -1/2 (/.f64 beta (-.f64 alpha (+.f64 -2 (neg.f64 alpha))))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 2 alpha) (/.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) (pow.f64 beta 2)))) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) (pow.f64 beta 3)))))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) beta)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 2 alpha) (/.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) (pow.f64 beta 2)))) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) (pow.f64 beta 3)))))))
1
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1)
(+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha)) beta)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 2 alpha) (-.f64 (neg.f64 alpha) (+.f64 2 alpha))) -1/2) (pow.f64 beta 2)) 1))
(+.f64 (+.f64 1 (*.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha)) beta))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (neg.f64 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 1 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 2 alpha) (-.f64 (neg.f64 alpha) (+.f64 2 alpha))) -1/2) (pow.f64 beta 2)) (+.f64 1 (/.f64 1/2 (/.f64 (pow.f64 beta 3) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (neg.f64 alpha) (+.f64 2 alpha))))))))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha)) beta)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (neg.f64 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 1 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 2 alpha)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))))
(*.f64 -1/2 (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha)) (*.f64 -1/2 (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1/2 (/.f64 beta (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/2 alpha)))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha)) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 beta (+.f64 beta 2)))))
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1/2
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1/2
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(*.f64 1/2 (/.f64 alpha (+.f64 2 alpha)))
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-1/2
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(-.f64 (*.f64 1/2 (/.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) beta)) 1/2)
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-1/2
(-.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1/2)
(-.f64 (/.f64 -1/2 (/.f64 beta (-.f64 (neg.f64 alpha) (+.f64 2 alpha)))) 1/2)
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(/.f64 1/2 (+.f64 beta 2))
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(/.f64 1/2 alpha)
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(/.f64 1/2 alpha)
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(/.f64 1/2 (+.f64 2 alpha))
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(/.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (*.f64 alpha (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))) (+.f64 (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) -1)
(/.f64 (-.f64 (/.f64 -1/2 (/.f64 (+.f64 beta (+.f64 2 alpha)) beta)) (/.f64 (*.f64 -1/2 alpha) (+.f64 beta (+.f64 2 alpha)))) 1)
(/.f64 (-.f64 (/.f64 (*.f64 beta -1/2) (+.f64 beta (+.f64 2 alpha))) (*.f64 alpha (/.f64 -1/2 (+.f64 beta (+.f64 2 alpha))))) 1)
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta))) (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) -1)
(/.f64 (*.f64 1/2 (-.f64 alpha beta)) (+.f64 beta (+.f64 2 alpha)))
(*.f64 -1/2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (neg.f64 (*.f64 1/2 (-.f64 beta alpha))) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 1/2 (-.f64 alpha beta)) (+.f64 beta (+.f64 2 alpha)))
(*.f64 -1/2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (neg.f64 (neg.f64 (*.f64 1/2 (-.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 1/2 (-.f64 alpha beta)) (+.f64 beta (+.f64 2 alpha)))
(*.f64 -1/2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))
(neg.f64 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)))
(/.f64 (*.f64 1/2 (-.f64 alpha beta)) (+.f64 beta (+.f64 2 alpha)))
(*.f64 -1/2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) 0)
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(+.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(+.f64 0 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(+.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(-.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) 0)
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(-.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(-.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (+.f64 0 (-.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(-.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (+.f64 (-.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (-.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(-.f64 0 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(-.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))) (/.f64 -1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(-.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(-.f64 (+.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(*.f64 1/2 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(*.f64 2 (/.f64 1/4 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(*.f64 2 (*.f64 1 (/.f64 1/4 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(*.f64 1 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))) -1)
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(*.f64 -1 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(*.f64 -1 (-.f64 (-.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(*.f64 -1 (-.f64 (+.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(*.f64 -1/2 (/.f64 -1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(*.f64 -1/2 (-.f64 0 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 -1/2 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 -1/2 (-.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(*.f64 1/2 (-.f64 (/.f64 3/2 (+.f64 beta (+.f64 2 alpha))) (/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 1/2 (+.f64 (/.f64 1/2 (+.f64 beta (+.f64 2 alpha))) (/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1/2)
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 -1 (+.f64 alpha (+.f64 beta 2))) -1/2)
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 1/4 (+.f64 alpha (+.f64 beta 2))) 2)
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))
(neg.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/2 (+.f64 beta (+.f64 2 alpha)))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓3.4b
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
Compiler

Compiled 50 to 23 computations (54% saved)

series6.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
alpha
@-inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms
alpha
@0
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
1.0ms
alpha
@inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms
beta
@0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms
alpha
@0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

rewrite70.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1030×rational.json-simplify-27
884×rational.json-simplify-19
866×rational.json-simplify-1
830×rational.json-simplify-25
826×rational.json-simplify-15
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01156
17456
228356
3177956
Stop Event
1×node limit
Counts
2 → 210
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 0 (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 0 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 (*.f64 (-.f64 beta alpha) 2) 0) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 0 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (-.f64 (*.f64 2 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 2 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (-.f64 (*.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 2 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (/.f64 0 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (-.f64 (*.f64 2 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 2 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (+.f64 0 (/.f64 0 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (+.f64 (/.f64 0 (+.f64 beta (+.f64 alpha 2))) (/.f64 0 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (+.f64 (-.f64 (*.f64 2 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 2 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (/.f64 0 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (+.f64 0 (-.f64 (*.f64 2 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 2 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 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1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 2 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) -1) (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1) (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) -1) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (/.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2))) 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (*.f64 2 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (+.f64 (*.f64 2 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule 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(+.f64 alpha 2))))) (*.f64 (-.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))))))))

simplify159.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1080×rational.json-simplify-11
1024×rational.json-simplify-13
872×rational.json-simplify-25
706×rational.json-simplify-9
650×rational.json-simplify-14
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067615414
1267814938
Stop Event
1×node limit
Counts
258 → 504
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
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(*.f64 (neg.f64 (+.f64 alpha (-.f64 alpha (+.f64 beta beta)))) (-.f64 0 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (*.f64 (-.f64 beta alpha) 2))
(*.f64 (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (-.f64 beta (+.f64 (-.f64 alpha beta) alpha)))
(*.f64 (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (+.f64 beta alpha) (+.f64 (-.f64 alpha beta) (+.f64 alpha alpha))))
(*.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 beta alpha) 2))) (/.f64 1/2 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (neg.f64 (neg.f64 (/.f64 1/2 (+.f64 beta (+.f64 alpha 2))))) (*.f64 (-.f64 beta alpha) 2))
(neg.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))))
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (-.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (+.f64 1 (-.f64 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))) (/.f64 alpha (+.f64 alpha 2)))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(+.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) (neg.f64 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) (-.f64 (+.f64 2 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(+.f64 2 (-.f64 (+.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) (neg.f64 beta)) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 2) -1))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) (-.f64 (+.f64 2 (+.f64 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (*.f64 -1 (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
(+.f64 (+.f64 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (+.f64 2 (/.f64 -1 (/.f64 (/.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 alpha 2) 2))))) (-.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) (neg.f64 beta)) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 2) -1)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 (/.f64 (neg.f64 alpha) beta) (-.f64 2 (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (+.f64 2 (/.f64 (neg.f64 alpha) beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 2)))) (+.f64 (/.f64 (neg.f64 alpha) beta) (-.f64 2 (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))))
(+.f64 (+.f64 2 (/.f64 (neg.f64 alpha) beta)) (-.f64 (*.f64 (+.f64 alpha 2) (*.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 2)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 2)))) (-.f64 (+.f64 2 (+.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 beta 3)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(+.f64 (+.f64 2 (+.f64 (/.f64 (neg.f64 alpha) beta) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 3))))) (-.f64 (*.f64 (+.f64 alpha 2) (*.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 beta 2)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (neg.f64 alpha))))
(+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (neg.f64 alpha)) (+.f64 1 (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (neg.f64 alpha)) (+.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 2)))))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 2 beta)) (+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (neg.f64 alpha)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (neg.f64 alpha)) (+.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (neg.f64 alpha)) (+.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (*.f64 -1 (pow.f64 alpha 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 2)) (+.f64 1 (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 2 alpha))) (*.f64 (+.f64 2 beta) (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 2) -1)) (-.f64 (+.f64 (*.f64 beta (/.f64 2 alpha)) (/.f64 2 alpha)) (*.f64 (+.f64 2 beta) (/.f64 beta (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 2 alpha))) (+.f64 (*.f64 (+.f64 2 beta) (/.f64 beta (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))))
(+.f64 (*.f64 beta (/.f64 2 alpha)) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 2) -1)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 2 alpha))) (+.f64 (*.f64 (+.f64 2 beta) (/.f64 beta (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 (pow.f64 alpha 3) -1)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 2 alpha))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))) (+.f64 (*.f64 (+.f64 2 beta) (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 beta (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 2) -1)) (+.f64 (*.f64 beta (/.f64 2 alpha)) (/.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 (+.f64 2 beta) (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 (pow.f64 alpha 3) -1)))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(*.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (neg.f64 alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))))
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (neg.f64 alpha)) (/.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (neg.f64 alpha)) (/.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)))))))
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (neg.f64 alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 -1 (/.f64 (pow.f64 alpha 4) (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))))))))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(/.f64 (neg.f64 alpha) (+.f64 alpha 2))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))
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(*.f64 (neg.f64 (/.f64 1/2 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (+.f64 alpha (+.f64 (+.f64 beta beta) beta)) (+.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 (+.f64 beta beta) beta)))))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 2 beta))) (-.f64 (+.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta beta) (+.f64 beta beta))) (+.f64 alpha (+.f64 beta (+.f64 beta beta)))))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 2 beta))) (+.f64 (-.f64 beta alpha) (-.f64 (+.f64 (+.f64 beta beta) (+.f64 beta beta)) (+.f64 beta (+.f64 alpha (+.f64 beta beta))))))
(*.f64 (neg.f64 (/.f64 1/2 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 (-.f64 beta alpha) 2) (+.f64 (*.f64 (-.f64 beta alpha) 2) (*.f64 (-.f64 beta alpha) 2))))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 2 beta))) (-.f64 (+.f64 (*.f64 2 (-.f64 beta alpha)) (*.f64 2 (-.f64 beta alpha))) (*.f64 2 (-.f64 beta alpha))))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 2 beta))) (-.f64 (+.f64 (*.f64 -2 (-.f64 alpha beta)) (*.f64 -2 (-.f64 alpha beta))) (*.f64 -2 (-.f64 alpha beta))))
(*.f64 (neg.f64 (/.f64 1/2 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (+.f64 (+.f64 beta (-.f64 beta alpha)) alpha) (+.f64 (+.f64 beta (-.f64 beta alpha)) (+.f64 beta (-.f64 beta alpha)))))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 2 beta))) (-.f64 (+.f64 beta (+.f64 (+.f64 beta (-.f64 beta alpha)) (-.f64 beta alpha))) (+.f64 alpha (+.f64 beta (-.f64 beta alpha)))))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (-.f64 (+.f64 beta (+.f64 beta (-.f64 (-.f64 beta alpha) alpha))) (+.f64 beta (+.f64 (-.f64 beta alpha) alpha)))))
(*.f64 (neg.f64 (/.f64 1/2 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (+.f64 (+.f64 beta (+.f64 beta (-.f64 beta alpha))) (+.f64 beta alpha)) (+.f64 (+.f64 beta (+.f64 beta (-.f64 beta alpha))) (+.f64 beta (+.f64 beta (-.f64 beta alpha))))))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 2 beta))) (-.f64 (+.f64 beta (+.f64 (+.f64 beta (+.f64 beta (-.f64 beta alpha))) (+.f64 beta (-.f64 beta alpha)))) (+.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 beta (-.f64 beta alpha))))))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 2 beta))) (-.f64 (+.f64 beta (+.f64 (+.f64 beta beta) (+.f64 beta (+.f64 beta (-.f64 (-.f64 beta alpha) alpha))))) (+.f64 alpha (+.f64 (+.f64 (-.f64 beta alpha) (+.f64 beta beta)) beta))))
(*.f64 (+.f64 (*.f64 (-.f64 beta alpha) 2) (*.f64 (-.f64 beta alpha) 2)) (/.f64 1/2 (+.f64 (*.f64 (+.f64 beta alpha) 2) 4)))
(*.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 4 (*.f64 2 (+.f64 alpha beta)))))
(*.f64 (-.f64 beta alpha) (/.f64 2 (+.f64 4 (*.f64 2 (+.f64 alpha beta)))))
(*.f64 (+.f64 (*.f64 (-.f64 beta alpha) 2) (*.f64 (-.f64 beta alpha) 2)) (*.f64 (/.f64 1/2 (+.f64 beta (+.f64 alpha 2))) 1/2))
(*.f64 (+.f64 (*.f64 2 (-.f64 beta alpha)) (*.f64 2 (-.f64 beta alpha))) (*.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (+.f64 (*.f64 -2 (-.f64 alpha beta)) (*.f64 -2 (-.f64 alpha beta))) (/.f64 1/4 (+.f64 alpha (+.f64 2 beta))))
(*.f64 (+.f64 (*.f64 (-.f64 beta alpha) 2) (*.f64 (-.f64 beta alpha) 2)) (*.f64 1 (/.f64 1/2 (+.f64 (*.f64 (+.f64 beta alpha) 2) 4))))
(*.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 4 (*.f64 2 (+.f64 alpha beta)))))
(*.f64 (-.f64 beta alpha) (/.f64 2 (+.f64 4 (*.f64 2 (+.f64 alpha beta)))))
(*.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) -1/2)
(*.f64 -1/2 (/.f64 (+.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (+.f64 (-.f64 alpha beta) (-.f64 alpha beta)) -1/2) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 alpha beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (-.f64 beta (*.f64 (-.f64 beta alpha) 2)) alpha))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 alpha (-.f64 beta (*.f64 2 (-.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (*.f64 -2 (-.f64 alpha beta)) (-.f64 beta alpha)))
(*.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (-.f64 (*.f64 (-.f64 beta alpha) 2) (*.f64 (-.f64 beta alpha) 2)) (-.f64 beta alpha)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (-.f64 beta alpha) (-.f64 (*.f64 2 (-.f64 beta alpha)) (*.f64 2 (-.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (-.f64 beta alpha) (-.f64 (*.f64 -2 (-.f64 alpha beta)) (*.f64 -2 (-.f64 alpha beta)))))
(*.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (-.f64 (+.f64 beta beta) (*.f64 (-.f64 beta alpha) 2)) (+.f64 beta alpha)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 alpha (-.f64 beta (*.f64 2 (-.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (*.f64 -2 (-.f64 alpha beta)) (-.f64 beta alpha)))
(*.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (-.f64 0 (*.f64 (-.f64 beta alpha) 2)) (-.f64 alpha beta)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (-.f64 alpha beta) (neg.f64 (*.f64 2 (-.f64 beta alpha)))))
(*.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (*.f64 (-.f64 beta alpha) -2) (-.f64 alpha beta)))
(*.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (-.f64 (+.f64 beta (+.f64 (+.f64 beta beta) beta)) (*.f64 (-.f64 beta alpha) 2)) (+.f64 alpha (+.f64 (+.f64 beta beta) beta))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (+.f64 alpha (+.f64 beta (+.f64 beta beta))) (-.f64 (+.f64 (+.f64 beta beta) (+.f64 beta beta)) (*.f64 2 (-.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (*.f64 -2 (-.f64 alpha beta)) (-.f64 (+.f64 (+.f64 beta beta) (+.f64 beta beta)) (+.f64 beta (+.f64 alpha (+.f64 beta beta))))))
(*.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 alpha (-.f64 (+.f64 beta (-.f64 beta alpha)) (-.f64 beta alpha))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (-.f64 (+.f64 beta (-.f64 beta alpha)) (-.f64 beta alpha)) alpha))
(*.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 (-.f64 beta alpha) alpha))))
(*.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta (+.f64 beta (-.f64 beta alpha))) (-.f64 beta alpha))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (-.f64 (+.f64 beta (-.f64 beta alpha)) (-.f64 beta alpha)) alpha))
(*.f64 (/.f64 -1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 (-.f64 beta alpha) alpha))))
(*.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (+.f64 alpha (+.f64 (+.f64 beta beta) beta)) (+.f64 0 (+.f64 beta (+.f64 (+.f64 beta beta) beta)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (+.f64 0 (+.f64 (+.f64 beta beta) (+.f64 beta beta))) (+.f64 alpha (+.f64 beta (+.f64 beta beta)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 beta (-.f64 (+.f64 beta (+.f64 0 (+.f64 beta beta))) (+.f64 beta (+.f64 alpha (+.f64 beta beta))))))
(*.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 2 (neg.f64 beta)) (neg.f64 (+.f64 beta alpha))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (neg.f64 (+.f64 alpha beta)) (*.f64 2 (neg.f64 beta))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (neg.f64 (+.f64 alpha beta)) (*.f64 beta -2)))
(*.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (neg.f64 (+.f64 beta alpha)) (*.f64 2 (neg.f64 alpha))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (*.f64 2 (neg.f64 alpha)) (neg.f64 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (*.f64 alpha -2) (neg.f64 (+.f64 alpha beta))))
(*.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 alpha 1/2) (*.f64 (+.f64 beta (-.f64 beta alpha)) 1/2)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (*.f64 1/2 (+.f64 beta (-.f64 beta alpha))) (*.f64 alpha 1/2)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (*.f64 -1/2 (-.f64 alpha (+.f64 beta beta))) (*.f64 alpha 1/2)))
(*.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 (+.f64 beta alpha) 1/2) (*.f64 (+.f64 beta (+.f64 beta (-.f64 beta alpha))) 1/2)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (*.f64 1/2 (+.f64 beta (+.f64 beta (-.f64 beta alpha)))) (*.f64 (+.f64 alpha beta) 1/2)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (*.f64 1/2 (+.f64 (-.f64 beta alpha) (+.f64 beta beta))) (*.f64 (+.f64 alpha beta) 1/2)))
(*.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (+.f64 (*.f64 (-.f64 beta alpha) 2) (-.f64 beta alpha)) (+.f64 (*.f64 (-.f64 beta alpha) 2) (*.f64 (-.f64 beta alpha) 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (+.f64 (*.f64 2 (-.f64 beta alpha)) (*.f64 2 (-.f64 beta alpha))) (+.f64 (-.f64 beta alpha) (*.f64 2 (-.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 (*.f64 -2 (-.f64 alpha beta)) (-.f64 (*.f64 -2 (-.f64 alpha beta)) (+.f64 beta (-.f64 (*.f64 -2 (-.f64 alpha beta)) alpha)))))
(*.f64 (neg.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (+.f64 (+.f64 beta (+.f64 (+.f64 beta beta) beta)) (+.f64 alpha (+.f64 (+.f64 beta beta) beta))) (+.f64 (+.f64 beta (+.f64 (+.f64 beta beta) beta)) (+.f64 beta (+.f64 (+.f64 beta beta) beta)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (+.f64 (+.f64 (+.f64 beta beta) (+.f64 beta beta)) (+.f64 (+.f64 beta beta) (+.f64 beta beta))) (+.f64 alpha (+.f64 (+.f64 (+.f64 beta beta) (+.f64 beta beta)) (+.f64 beta (+.f64 beta beta))))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 (+.f64 beta beta) (+.f64 beta beta)) (-.f64 (+.f64 (+.f64 beta beta) (+.f64 beta beta)) (+.f64 beta (+.f64 (+.f64 beta (+.f64 alpha (+.f64 beta beta))) (+.f64 beta (+.f64 beta beta)))))))
(*.f64 (neg.f64 (+.f64 alpha (-.f64 alpha (+.f64 beta beta)))) (-.f64 0 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 -1/2 (/.f64 (+.f64 alpha (-.f64 alpha (+.f64 beta beta))) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 2 beta))) (-.f64 (+.f64 beta beta) (+.f64 alpha alpha)))
(*.f64 (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (*.f64 (-.f64 beta alpha) 2))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (-.f64 beta (+.f64 (-.f64 alpha beta) alpha)))
(*.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 2 beta))) (-.f64 (+.f64 alpha (-.f64 alpha beta)) beta))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 2 beta))) (-.f64 beta (+.f64 alpha (-.f64 alpha beta))))
(*.f64 (neg.f64 (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (+.f64 beta alpha) (+.f64 (-.f64 alpha beta) (+.f64 alpha alpha))))
(*.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 2 beta))) (-.f64 (+.f64 alpha (-.f64 alpha beta)) beta))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 2 beta))) (-.f64 beta (+.f64 alpha (-.f64 alpha beta))))
(*.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 beta alpha) 2))) (/.f64 1/2 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (neg.f64 (neg.f64 (/.f64 1/2 (+.f64 beta (+.f64 alpha 2))))) (*.f64 (-.f64 beta alpha) 2))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(neg.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

eval732.0ms (5.1%)

Compiler

Compiled 33367 to 21840 computations (34.5% saved)

prune378.0ms (2.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1169141183
Fresh000
Picked101
Done011
Total1170151185
Error
0.2b
Counts
1185 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
45.9b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶14.7b
(/.f64 (-.f64 (-.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1) (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))) 2)
▶31.6b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
17.6b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
15.2b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (neg.f64 (+.f64 alpha beta)) (*.f64 beta -2))) 1) 2)
46.0b
(/.f64 (+.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) (neg.f64 beta))) 2)
15.2b
(/.f64 (*.f64 -1/2 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))) 2)
▶15.2b
(-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))))
✓15.2b
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))
44.0b
(-.f64 1/2 (*.f64 (/.f64 1/2 beta) (-.f64 alpha beta)))
▶61.7b
(-.f64 1/2 1/2)
▶47.0b
(+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) -1/2) alpha) (*.f64 1/2 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))))
48.2b
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 3))))))
48.8b
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 4)))))))
40.8b
1
Compiler

Compiled 626 to 470 computations (24.9% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (-.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1) (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))))
✓0.0b
(/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2))
✓0.0b
(/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))
✓3.4b
(-.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1)
Compiler

Compiled 96 to 49 computations (49% saved)

series10.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
beta
@0
(/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))
0.0ms
alpha
@-inf
(-.f64 (-.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1) (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))))
0.0ms
alpha
@inf
(-.f64 (-.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1) (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))))
0.0ms
alpha
@0
(-.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1)
0.0ms
alpha
@-inf
(-.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1)

rewrite89.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1002×rational.json-1
1002×rational.json-2
1002×rational.json-4
1002×rational.json-3
940×rational.json-simplify-29
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018132
1120120
2394112
32270112
Stop Event
1×node limit
Counts
4 → 285
Calls
Call 1
Inputs
(-.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1)
(/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))
(/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2))
(-.f64 (-.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1) (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))))
Outputs
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alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))))

simplify226.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1508×rational.json-simplify-11
1346×rational.json-simplify-13
1064×rational.json-simplify-14
960×rational.json-simplify-5
794×rational.json-simplify-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081021731
1319621409
Stop Event
1×node limit
Counts
381 → 668
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)))))))
1
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))))
1
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))))
(*.f64 -1 (/.f64 beta (+.f64 2 alpha)))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 beta (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 beta (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -1 (/.f64 beta (+.f64 2 alpha))) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4)))))
-1
(-.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (*.f64 2 (/.f64 1 beta))))) 1)
-1
(-.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (*.f64 2 (/.f64 1 beta))))) 1)
(*.f64 -1 (/.f64 beta (+.f64 beta 2)))
(+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (/.f64 beta (+.f64 beta 2))) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4)))))
(*.f64 -1 (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 beta alpha)) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 beta alpha)) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1 (/.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))))
-1
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) 1)
-1
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) 1)
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)))))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3))))))
(*.f64 -1 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))))
(*.f64 -1 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))))
(-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2))))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha))) (*.f64 -1 (/.f64 beta (+.f64 beta 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 beta (+.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2))))) (*.f64 -1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) alpha)
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 -1 (/.f64 beta alpha)) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) beta) alpha))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) beta) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) beta) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) beta) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (*.f64 2 (/.f64 1 beta))))))
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(*.f64 1 (-.f64 (+.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (-.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) -1)) (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (-.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) -1)))))
(*.f64 1/2 (*.f64 2 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) -1)
(*.f64 -1/2 (-.f64 0 (*.f64 2 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (+.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (-.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(*.f64 -1/2 (-.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (+.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (-.f64 -1 (+.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (-.f64 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (-.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) -1)) (+.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2))))
(*.f64 -1/2 (-.f64 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1) (+.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -2) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (-.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 2 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))
(*.f64 -1/2 (-.f64 (+.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (+.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))
(*.f64 -1/2 (-.f64 (+.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)))))
(*.f64 (*.f64 2 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1/2)
(*.f64 (+.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) -1/2)
(/.f64 -1 (/.f64 -1 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(/.f64 -1 (/.f64 1 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)
(/.f64 1 (/.f64 -1 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 1/2 (/.f64 1 (*.f64 2 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 1/2 (/.f64 -1 (+.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))
(/.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) -1)
(/.f64 (*.f64 (+.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) 1/2) -1)
(neg.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
Outputs
1
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 beta 2)))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 beta 2)))))
(+.f64 1 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 beta 2)) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (neg.f64 alpha) (+.f64 beta 2)) (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))))
(+.f64 1 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 1 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (+.f64 1 (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3))))))
(+.f64 1 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (+.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 -1 (*.f64 alpha (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3)))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3)))) (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 alpha 2) 2))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)))))))
(+.f64 1 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (+.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (*.f64 -1 (*.f64 alpha (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3)))) (*.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)))))))
(+.f64 (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 3)))) (+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4))))))
1
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
(+.f64 1 (/.f64 alpha (neg.f64 beta)))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (/.f64 alpha (neg.f64 beta)) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))))
(+.f64 1 (+.f64 (/.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 beta 2)) (+.f64 (/.f64 (neg.f64 alpha) beta) (*.f64 -1 (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))))))
(+.f64 1 (+.f64 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (/.f64 alpha (neg.f64 beta)) (*.f64 -1 (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))))))
1
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
(+.f64 1 (/.f64 alpha (neg.f64 beta)))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (/.f64 alpha (neg.f64 beta)) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))))
(+.f64 1 (+.f64 (/.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 beta 2)) (+.f64 (/.f64 (neg.f64 alpha) beta) (*.f64 -1 (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))))))
(+.f64 1 (+.f64 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (+.f64 (/.f64 alpha (neg.f64 beta)) (*.f64 -1 (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))))))
(*.f64 -1 (/.f64 beta (+.f64 2 alpha)))
(/.f64 (neg.f64 beta) (+.f64 alpha 2))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 (neg.f64 beta) (+.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 beta (+.f64 2 alpha)))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (neg.f64 beta) (+.f64 alpha 2))))
(+.f64 (/.f64 (neg.f64 beta) (+.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 3) -1)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -1 (/.f64 beta (+.f64 2 alpha))) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (/.f64 (neg.f64 beta) (+.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4)))))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 3) -1)) (/.f64 (neg.f64 beta) (+.f64 alpha 2)))))
-1
(-.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)) 1)
(+.f64 (/.f64 2 beta) (-.f64 (/.f64 alpha beta) 1))
(+.f64 (/.f64 alpha beta) (-.f64 (/.f64 2 beta) 1))
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))) 1)
(+.f64 (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 2 beta) (*.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))) -1)
(+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 2) -1)) (-.f64 (/.f64 2 beta) 1)))
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (*.f64 2 (/.f64 1 beta))))) 1)
(+.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 2 beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))) -1)
(+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 2) -1)) (-.f64 (/.f64 2 beta) 1))))
-1
(-.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)) 1)
(+.f64 (/.f64 2 beta) (-.f64 (/.f64 alpha beta) 1))
(+.f64 (/.f64 alpha beta) (-.f64 (/.f64 2 beta) 1))
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))) 1)
(+.f64 (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 2 beta) (*.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))) -1)
(+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 2) -1)) (-.f64 (/.f64 2 beta) 1)))
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(*.f64 1 (+.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))
(*.f64 -1 (-.f64 (+.f64 (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)) (+.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (+.f64 (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)))))
(*.f64 1 (-.f64 (+.f64 (+.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (+.f64 (+.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (+.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))))
(*.f64 1 (+.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 (+.f64 (+.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (+.f64 (+.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))))))
(*.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 1 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 1 (-.f64 (+.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) -2))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 1 (-.f64 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (-.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) -1)) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (-.f64 (+.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(-.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 1 (-.f64 (+.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (-.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) -1)) (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (-.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) -1)))))
(*.f64 1 (-.f64 (+.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (+.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (+.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) 1)) (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (+.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) 1)))))
(*.f64 1 (+.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))) (+.f64 (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))) (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))))))
(*.f64 1/2 (*.f64 2 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) -1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 -1/2 (-.f64 0 (*.f64 2 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (neg.f64 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(-.f64 0 (*.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 -1/2 (+.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 -1/2 (-.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(*.f64 -1/2 (-.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 -1/2 (-.f64 (-.f64 (/.f64 (/.f64 (-.f64 beta alpha) -1) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 -1/2 (-.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (+.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (-.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (-.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (+.f64 1 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (-.f64 -1 (+.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (-.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 -1/2 (-.f64 (-.f64 (/.f64 (/.f64 (-.f64 beta alpha) -1) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 -1/2 (-.f64 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (-.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) -1)) (+.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2))))
(*.f64 -1/2 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (-.f64 (+.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) 1) (+.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))
(*.f64 1/2 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))))))
(*.f64 -1/2 (-.f64 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1) (+.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -2) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (-.f64 (+.f64 -1 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))) (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (*.f64 -2 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (+.f64 -1 (-.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (+.f64 (*.f64 -2 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))
(*.f64 -1/2 (-.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 2 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))
(*.f64 -1/2 (-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))
(*.f64 1/2 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (-.f64 (+.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (+.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))
(*.f64 -1/2 (-.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 1/2 (+.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (-.f64 (+.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)))))
(*.f64 -1/2 (-.f64 (+.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (+.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (+.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (+.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (+.f64 1 (-.f64 (-.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))))
(*.f64 (*.f64 2 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1/2)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) -1/2)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 -1 (/.f64 -1 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 -1 (/.f64 1 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (/.f64 -1 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/2 (/.f64 1 (*.f64 2 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/2 (/.f64 -1 (+.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))
(/.f64 (+.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -2)
(neg.f64 (*.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) -1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) 1/2) -1)
(/.f64 (+.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -2)
(neg.f64 (*.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(neg.f64 (-.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 alpha (+.f64 alpha 2))
✓2.3b
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
alpha
@inf
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
0.0ms
alpha
@0
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
0.0ms
alpha
@-inf
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
0.0ms
alpha
@inf
(/.f64 alpha (+.f64 alpha 2))
0.0ms
alpha
@0
(/.f64 alpha (+.f64 alpha 2))

rewrite81.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1162×rational.json-simplify-55
818×rational.json-simplify-24
698×rational.json-simplify-5
634×rational.json-simplify-39
596×rational.json-simplify-28
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
14932
214732
369532
4552732
Stop Event
1×node limit
Counts
2 → 225
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
Outputs
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simplify74.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
822×rational.json-simplify-51
660×rational.json-simplify-14
616×rational.json-simplify-11
590×rational.json-simplify-21
558×rational.json-simplify-41
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05045381
117914813
Stop Event
1×node limit
Counts
249 → 283
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 1/2 alpha)
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 1 (/.f64 alpha (neg.f64 (+.f64 alpha 2))))
(+.f64 1 (-.f64 (/.f64 alpha (neg.f64 (+.f64 alpha 2))) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 0)))
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 2 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))
(+.f64 1 (+.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) -2)))
(+.f64 1 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -2) (neg.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))
(+.f64 1 (-.f64 (+.f64 2 (/.f64 alpha (+.f64 alpha 2))) (-.f64 4 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))
(+.f64 1 (-.f64 (neg.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 alpha 2))) -1)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(+.f64 1 (*.f64 1/2 (-.f64 -1 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 alpha 2))) -1))))
(+.f64 2 (-.f64 -1 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 2 (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 0)))
(+.f64 2 (-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 4 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))
(+.f64 2 (-.f64 (-.f64 -1 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 alpha 2))) -1)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))
(+.f64 2 (*.f64 1/2 (-.f64 (neg.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 alpha 2))) -1)) 3)))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 alpha 2))) -1)))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) -1))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 (-.f64 1 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (/.f64 0 (+.f64 alpha 2)) (-.f64 1 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))
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(*.f64 (/.f64 4 (/.f64 (+.f64 alpha 2) alpha)) 1/4)
(*.f64 (/.f64 1 (neg.f64 (+.f64 alpha 2))) (neg.f64 alpha))
(*.f64 (/.f64 (/.f64 alpha -1/2) (+.f64 alpha 2)) -1/2)
(*.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha -1/2)) -1/2)
(*.f64 (-.f64 (/.f64 0 (+.f64 alpha 2)) (*.f64 2 (/.f64 alpha (+.f64 alpha 2)))) -1/2)
(*.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha 3) (+.f64 alpha 2))) -1/2)
(*.f64 (neg.f64 (*.f64 2 (/.f64 alpha (+.f64 alpha 2)))) -1/2)
(*.f64 (*.f64 -2 alpha) (/.f64 -1/2 (+.f64 alpha 2)))
(*.f64 (/.f64 -1 (+.f64 alpha 2)) (neg.f64 alpha))
(*.f64 (*.f64 4 alpha) (*.f64 1/2 (/.f64 1/2 (+.f64 alpha 2))))
(*.f64 (neg.f64 (/.f64 1 (+.f64 alpha 2))) (neg.f64 alpha))
(*.f64 (+.f64 (/.f64 1/2 (+.f64 alpha 2)) (/.f64 -1 (/.f64 (+.f64 alpha 2) 1/4))) (+.f64 alpha (*.f64 alpha 3)))
(*.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 1 (+.f64 alpha 2))) (*.f64 alpha 1/2))
(*.f64 (+.f64 (/.f64 -1/2 (+.f64 alpha 2)) (/.f64 -1/2 (+.f64 alpha 2))) (neg.f64 alpha))
(*.f64 (+.f64 (+.f64 alpha (*.f64 alpha 3)) (+.f64 alpha (*.f64 alpha 3))) (/.f64 1/2 (/.f64 (+.f64 alpha 2) 1/4)))
(*.f64 (+.f64 (/.f64 alpha -1/2) (/.f64 alpha -1/2)) (/.f64 1/2 (/.f64 (+.f64 alpha 2) -1/2)))
(*.f64 (/.f64 1/2 (/.f64 (+.f64 alpha 2) -1/2)) (+.f64 (/.f64 alpha -1/2) (/.f64 alpha -1/2)))
(*.f64 (/.f64 1/2 (/.f64 (+.f64 alpha 2) (neg.f64 alpha))) -2)
(*.f64 (+.f64 (/.f64 alpha (/.f64 (+.f64 alpha 2) -1/2)) (/.f64 alpha (/.f64 (+.f64 alpha 2) -1/2))) -1)
(*.f64 (+.f64 (*.f64 -2 alpha) (*.f64 -2 alpha)) (/.f64 1/2 (/.f64 (+.f64 alpha 2) -1/2)))
(neg.f64 (/.f64 alpha (neg.f64 (+.f64 alpha 2))))
Outputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))
(+.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) (/.f64 8 (pow.f64 alpha 3)))
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(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
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(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 16 (pow.f64 alpha 4)))))
(*.f64 1/2 alpha)
(*.f64 alpha 1/2)
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 (*.f64 (pow.f64 alpha 2) -1/4) (*.f64 alpha 1/2))
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 (pow.f64 alpha 3) 1/8) (+.f64 (*.f64 (pow.f64 alpha 2) -1/4) (*.f64 alpha 1/2)))
(+.f64 (*.f64 (pow.f64 alpha 2) -1/4) (+.f64 (*.f64 alpha 1/2) (*.f64 (pow.f64 alpha 3) 1/8)))
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))))
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(+.f64 (+.f64 (*.f64 (pow.f64 alpha 2) -1/4) (+.f64 (*.f64 alpha 1/2) (*.f64 (pow.f64 alpha 3) 1/8))) (*.f64 (pow.f64 alpha 4) -1/16))
1
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(+.f64 1 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))))
1
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(/.f64 (-.f64 (*.f64 alpha -3) (+.f64 (neg.f64 alpha) (*.f64 alpha -3))) (+.f64 alpha 2))
(*.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 (*.f64 alpha -1/2) (*.f64 -1/2 (*.f64 alpha 3))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 -1 (/.f64 alpha (neg.f64 (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 -1 (/.f64 1/2 (/.f64 (+.f64 alpha 2) (/.f64 alpha -1/2))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (neg.f64 alpha) (/.f64 1 (neg.f64 (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (neg.f64 alpha) (/.f64 -1 (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (neg.f64 alpha) (neg.f64 (/.f64 1 (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 -1/2 (+.f64 alpha 2)) (/.f64 -1/2 (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 (/.f64 1/2 (+.f64 alpha 2)) (/.f64 1 (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (/.f64 1 (+.f64 alpha 2)) 1/2)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 1 (+.f64 alpha 2)) (*.f64 2 (/.f64 1 (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 1 (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 alpha (neg.f64 (+.f64 alpha 2))) -1)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 -1/2 (-.f64 (/.f64 alpha (neg.f64 (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 -1/2 (/.f64 (/.f64 alpha -1/2) (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha -1/2)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 -1/2 (-.f64 (/.f64 0 (+.f64 alpha 2)) (*.f64 2 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 -1/2 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha 3) (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 -1/2 (neg.f64 (*.f64 2 (/.f64 alpha (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 4 (/.f64 1/2 (/.f64 (+.f64 alpha 2) (*.f64 alpha 1/2))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (*.f64 2 (/.f64 alpha (+.f64 alpha 2))) 1/2)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 -2 (/.f64 1/2 (/.f64 (+.f64 alpha 2) (neg.f64 alpha))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (*.f64 1/2 (/.f64 1/2 (+.f64 alpha 2))) (+.f64 alpha (*.f64 alpha 3)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (*.f64 1/2 (/.f64 1/2 (+.f64 alpha 2))) (*.f64 4 alpha))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (*.f64 (/.f64 alpha (+.f64 alpha 2)) 1/2) 2)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 alpha -1/2) (/.f64 -1/2 (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 alpha -1/2) (-.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 -1 (+.f64 alpha 2))) (/.f64 1/2 (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 alpha -1/2) (-.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 1/2 (+.f64 alpha 2))) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 1 (+.f64 alpha 2)))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 -1/2 (+.f64 alpha 2)) (/.f64 alpha -1/2))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 -1/2 (+.f64 alpha 2)) (*.f64 -2 alpha))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 -1/2 (+.f64 alpha 2)) (-.f64 (-.f64 alpha alpha) (+.f64 alpha alpha)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 -1/2 (+.f64 alpha 2)) (-.f64 (/.f64 (-.f64 alpha alpha) 1/2) (+.f64 alpha alpha)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 -1/2 (+.f64 alpha 2)) (-.f64 (neg.f64 (*.f64 alpha 3)) (neg.f64 alpha)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 -1/2 (+.f64 alpha 2)) (-.f64 (/.f64 alpha -1/2) (-.f64 alpha alpha)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 -1/2 (+.f64 alpha 2)) (-.f64 (*.f64 alpha 3) (+.f64 alpha (+.f64 alpha (*.f64 alpha 3)))))
(*.f64 (/.f64 -1/2 (+.f64 alpha 2)) (-.f64 (*.f64 alpha 6) (+.f64 (*.f64 alpha 6) (/.f64 alpha 1/2))))
(*.f64 (/.f64 -1/2 (+.f64 alpha 2)) (-.f64 (/.f64 (*.f64 alpha 3) 1/2) (/.f64 (+.f64 alpha (*.f64 alpha 3)) 1/2)))
(*.f64 (/.f64 -1/2 (+.f64 alpha 2)) (-.f64 (*.f64 alpha 3) (+.f64 alpha (+.f64 alpha (*.f64 alpha 3)))))
(*.f64 (/.f64 -1/2 (+.f64 alpha 2)) (-.f64 (*.f64 alpha 6) (+.f64 (*.f64 alpha 6) (/.f64 alpha 1/2))))
(*.f64 (/.f64 -1/2 (+.f64 alpha 2)) (-.f64 (+.f64 (+.f64 alpha (*.f64 alpha 3)) (+.f64 alpha alpha)) (+.f64 (+.f64 alpha (*.f64 alpha 3)) (+.f64 alpha (*.f64 alpha 3)))))
(*.f64 (/.f64 -1/2 (+.f64 alpha 2)) (+.f64 (+.f64 alpha (*.f64 alpha 3)) (-.f64 (+.f64 alpha alpha) (+.f64 (+.f64 alpha (*.f64 alpha 3)) (+.f64 alpha (*.f64 alpha 3))))))
(*.f64 (neg.f64 (/.f64 -1/2 (+.f64 alpha 2))) (-.f64 (+.f64 alpha (*.f64 alpha 3)) (+.f64 alpha alpha)))
(*.f64 (/.f64 -1/2 (+.f64 alpha 2)) (-.f64 (+.f64 alpha (*.f64 alpha 3)) (+.f64 (*.f64 alpha 3) (*.f64 alpha 3))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (+.f64 alpha (*.f64 alpha 3)) (*.f64 1/2 (/.f64 1/2 (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (+.f64 alpha (*.f64 alpha 3)) (+.f64 (/.f64 1/2 (+.f64 alpha 2)) (/.f64 -1 (/.f64 (+.f64 alpha 2) 1/4))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (-.f64 (/.f64 alpha (neg.f64 (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2))) -1/2)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 4 (/.f64 (+.f64 alpha 2) alpha)) 1/4)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 1 (neg.f64 (+.f64 alpha 2))) (neg.f64 alpha))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 (/.f64 alpha -1/2) (+.f64 alpha 2)) -1/2)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha -1/2)) -1/2)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (-.f64 (/.f64 0 (+.f64 alpha 2)) (*.f64 2 (/.f64 alpha (+.f64 alpha 2)))) -1/2)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha 3) (+.f64 alpha 2))) -1/2)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (neg.f64 (*.f64 2 (/.f64 alpha (+.f64 alpha 2)))) -1/2)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (*.f64 -2 alpha) (/.f64 -1/2 (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 -1 (+.f64 alpha 2)) (neg.f64 alpha))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (*.f64 4 alpha) (*.f64 1/2 (/.f64 1/2 (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (neg.f64 (/.f64 1 (+.f64 alpha 2))) (neg.f64 alpha))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (+.f64 (/.f64 1/2 (+.f64 alpha 2)) (/.f64 -1 (/.f64 (+.f64 alpha 2) 1/4))) (+.f64 alpha (*.f64 alpha 3)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 1 (+.f64 alpha 2))) (*.f64 alpha 1/2))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (+.f64 (/.f64 -1/2 (+.f64 alpha 2)) (/.f64 -1/2 (+.f64 alpha 2))) (neg.f64 alpha))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (+.f64 (+.f64 alpha (*.f64 alpha 3)) (+.f64 alpha (*.f64 alpha 3))) (/.f64 1/2 (/.f64 (+.f64 alpha 2) 1/4)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (+.f64 (/.f64 alpha -1/2) (/.f64 alpha -1/2)) (/.f64 1/2 (/.f64 (+.f64 alpha 2) -1/2)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 1/2 (/.f64 (+.f64 alpha 2) -1/2)) (+.f64 (/.f64 alpha -1/2) (/.f64 alpha -1/2)))
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (/.f64 1/2 (/.f64 (+.f64 alpha 2) (neg.f64 alpha))) -2)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (+.f64 (/.f64 alpha (/.f64 (+.f64 alpha 2) -1/2)) (/.f64 alpha (/.f64 (+.f64 alpha 2) -1/2))) -1)
(/.f64 alpha (+.f64 alpha 2))
(*.f64 (+.f64 (*.f64 -2 alpha) (*.f64 -2 alpha)) (/.f64 1/2 (/.f64 (+.f64 alpha 2) -1/2)))
(/.f64 alpha (+.f64 alpha 2))
(neg.f64 (/.f64 alpha (neg.f64 (+.f64 alpha 2))))
(/.f64 alpha (+.f64 alpha 2))

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 alpha (*.f64 1/2 (+.f64 beta alpha)))
✓0.0b
(/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha)))
✓3.4b
(-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))))
Compiler

Compiled 57 to 31 computations (45.6% saved)

series14.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
beta
@0
(-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))))
2.0ms
alpha
@-inf
(-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))))
1.0ms
alpha
@-inf
(-.f64 alpha (*.f64 1/2 (+.f64 beta alpha)))
1.0ms
alpha
@0
(-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))))
1.0ms
beta
@0
(/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha)))

rewrite85.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1220×rational.json-simplify-1
1020×rational.json-simplify-25
978×rational.json-1
978×rational.json-2
978×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01399
19199
235299
3221699
Stop Event
1×node limit
Counts
3 → 256
Calls
Call 1
Inputs
(-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha)))
(-.f64 alpha (*.f64 1/2 (+.f64 beta alpha)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 0 (+.f64 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha) (+.f64 alpha (+.f64 beta 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 (+.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 0 (+.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1/2 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (-.f64 1/2 (*.f64 (+.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (/.f64 0 (+.f64 alpha (+.f64 beta 2))) (+.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (-.f64 (*.f64 (+.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (+.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha) (+.f64 alpha 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(2) ((x /.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2)) (+.f64 alpha (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))))) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha))))))

simplify197.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1600×rational.json-simplify-11
1418×rational.json-simplify-13
1026×rational.json-simplify-14
874×rational.json-simplify-3
840×rational.json-simplify-9
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080921098
1329420814
Stop Event
1×node limit
Counts
328 → 617
Calls
Call 1
Inputs
(+.f64 1/2 (*.f64 1/2 (/.f64 beta (+.f64 beta 2))))
(+.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (/.f64 1 (+.f64 beta 2))) alpha) (*.f64 1/2 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 (*.f64 1/2 (/.f64 beta (+.f64 beta 2))) (*.f64 (+.f64 (*.f64 1/2 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)))))
(+.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 (*.f64 1/2 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3)) (*.f64 (+.f64 (*.f64 1/2 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))))))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 1 alpha)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 1 alpha)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 alpha)))))))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/2 beta) (*.f64 1/2 (+.f64 beta 2))) alpha))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 beta) (*.f64 1/2 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/2 beta) (*.f64 1/2 (+.f64 beta 2))) alpha)))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 beta) (*.f64 1/2 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 beta) (*.f64 1/2 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/2 beta) (*.f64 1/2 (+.f64 beta 2))) alpha))))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 beta) (*.f64 1/2 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 beta) (*.f64 1/2 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 beta) (*.f64 1/2 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/2 beta) (*.f64 1/2 (+.f64 beta 2))) alpha)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))) 1/2) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))) (+.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/2 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (-.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/2 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))))) (/.f64 alpha (+.f64 2 alpha)))
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
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1
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1/2
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 beta alpha)) 1/2) (*.f64 1/2 (/.f64 (+.f64 beta 2) alpha)))
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1/2
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 beta alpha)) 1/2) (*.f64 1/2 (/.f64 (+.f64 beta 2) alpha)))
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(/.f64 (-.f64 alpha (*.f64 1/2 alpha)) (+.f64 2 alpha))
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-1/2
(-.f64 (/.f64 alpha beta) (+.f64 1/2 (+.f64 (*.f64 1/2 (/.f64 alpha beta)) (*.f64 -1/2 (/.f64 (+.f64 2 alpha) beta)))))
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-1/2
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 alpha (*.f64 1/2 alpha))) (*.f64 1/2 (+.f64 2 alpha))) beta)) 1/2)
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(*.f64 -1/2 beta)
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(*.f64 1/2 alpha)
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(*.f64 1/2 alpha)
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(-.f64 alpha (*.f64 1/2 alpha))
(-.f64 (+.f64 (*.f64 -1/2 beta) alpha) (*.f64 1/2 alpha))
(-.f64 (+.f64 (*.f64 -1/2 beta) alpha) (*.f64 1/2 alpha))
(-.f64 (+.f64 (*.f64 -1/2 beta) alpha) (*.f64 1/2 alpha))
(*.f64 -1/2 beta)
(-.f64 (+.f64 alpha (*.f64 -1/2 beta)) (*.f64 1/2 alpha))
(-.f64 (+.f64 alpha (*.f64 -1/2 beta)) (*.f64 1/2 alpha))
(-.f64 (+.f64 alpha (*.f64 -1/2 beta)) (*.f64 1/2 alpha))
(*.f64 -1/2 beta)
(-.f64 (+.f64 alpha (*.f64 -1/2 beta)) (*.f64 1/2 alpha))
(-.f64 (+.f64 alpha (*.f64 -1/2 beta)) (*.f64 1/2 alpha))
(-.f64 (+.f64 alpha (*.f64 -1/2 beta)) (*.f64 1/2 alpha))
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(*.f64 (*.f64 (+.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha) (+.f64 alpha (+.f64 beta 2)))) 2) 1/2)
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(*.f64 (+.f64 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))) (+.f64 alpha (-.f64 alpha (+.f64 alpha beta)))) (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) 1/2))
(*.f64 (+.f64 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))) (+.f64 alpha (-.f64 alpha (+.f64 alpha beta)))) (*.f64 1 (*.f64 1/2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))))
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(*.f64 (neg.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha))
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(+.f64 (*.f64 (+.f64 alpha beta) -1/2) alpha)
(+.f64 (-.f64 (*.f64 alpha -1/2) (*.f64 1/2 beta)) alpha)
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(+.f64 (*.f64 (neg.f64 beta) 1/2) (*.f64 1/2 alpha))
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(*.f64 1/2 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))))
(*.f64 1/2 (-.f64 (+.f64 alpha alpha) (+.f64 alpha beta)))
(*.f64 1/2 (*.f64 1 (-.f64 (+.f64 alpha alpha) (+.f64 alpha beta))))
(*.f64 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))) 1)
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(*.f64 1 (-.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2))) (*.f64 (+.f64 alpha beta) 2)))
(*.f64 1 (-.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha) (+.f64 (*.f64 1/2 (+.f64 alpha beta)) (-.f64 (*.f64 1/2 (+.f64 alpha beta)) (+.f64 alpha alpha)))))
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(*.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha) -1)
(*.f64 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))) 1/2)
(*.f64 -1 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha))
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(*.f64 -1 (-.f64 (-.f64 0 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta)))) (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha)))
(*.f64 -1 (-.f64 (-.f64 (+.f64 alpha alpha) (+.f64 alpha (-.f64 alpha (+.f64 alpha beta)))) (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2))))
(*.f64 -1 (-.f64 (-.f64 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (+.f64 alpha (-.f64 alpha (+.f64 alpha beta)))) (+.f64 alpha (+.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 alpha beta))))))
(*.f64 -1 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) (-.f64 (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))) (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))))))
(*.f64 -1 (-.f64 (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2)) (-.f64 (+.f64 alpha (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))))) (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))))))
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(*.f64 -1 (-.f64 (-.f64 0 (+.f64 alpha alpha)) (+.f64 (*.f64 (+.f64 alpha beta) -1/2) (neg.f64 alpha))))
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(*.f64 -1 (-.f64 (*.f64 (+.f64 alpha beta) 1/4) (*.f64 (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))) 1/2)))
(*.f64 -1 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2))) (*.f64 (+.f64 alpha (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))))) 1/2)))
(*.f64 -1 (-.f64 (+.f64 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))) (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))) (+.f64 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))) (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))))))
(*.f64 -1 (-.f64 (+.f64 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (+.f64 alpha (+.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)))))
(*.f64 -1/2 (+.f64 (*.f64 1/2 (+.f64 alpha beta)) (-.f64 (*.f64 1/2 (+.f64 alpha beta)) (+.f64 alpha alpha))))
(*.f64 -1/2 (-.f64 0 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta)))))
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(*.f64 -1/2 (-.f64 (-.f64 (-.f64 (+.f64 alpha beta) alpha) (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))) (*.f64 1/2 (+.f64 alpha beta))))
(*.f64 -1/2 (-.f64 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))) (+.f64 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))) (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))))))
(*.f64 -1/2 (-.f64 (+.f64 alpha (+.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 alpha beta)))) (+.f64 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))) (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)))))
(*.f64 -1/2 (-.f64 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))) (+.f64 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))) (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))))))
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(*.f64 -1/2 (-.f64 (+.f64 alpha beta) (+.f64 alpha alpha)))
(*.f64 (+.f64 (*.f64 1/2 (+.f64 alpha beta)) (-.f64 (*.f64 1/2 (+.f64 alpha beta)) (+.f64 alpha alpha))) -1/2)
(*.f64 (+.f64 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))) (+.f64 alpha (-.f64 alpha (+.f64 alpha beta)))) 1/4)
(/.f64 1/2 (/.f64 1/2 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))))
(/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))) 1)
(/.f64 1 (/.f64 1 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))))
(/.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha) -1)
(/.f64 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))) 2)
(/.f64 -1 (/.f64 1 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha)))
(/.f64 -1 (/.f64 -1 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))))
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(neg.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha))
Outputs
(+.f64 1/2 (*.f64 1/2 (/.f64 beta (+.f64 beta 2))))
(+.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (/.f64 1 (+.f64 beta 2))) alpha) (*.f64 1/2 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1/2 (+.f64 (*.f64 1/2 (/.f64 beta (+.f64 beta 2))) (*.f64 (-.f64 (-.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 1/2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (/.f64 1 (+.f64 beta 2))) alpha)))
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1
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1
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(*.f64 -1/2 (/.f64 beta (+.f64 beta 2)))
(*.f64 (/.f64 beta (+.f64 beta 2)) -1/2)
(/.f64 (*.f64 beta -1/2) (+.f64 beta 2))
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1/2
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 beta alpha)) 1/2) (*.f64 1/2 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (+.f64 1/2 (/.f64 (*.f64 beta -1/2) alpha)) (*.f64 1/2 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 1/2 (/.f64 (-.f64 (*.f64 beta -1/2) (+.f64 (*.f64 1/2 beta) 1)) alpha))
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1/2
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 beta alpha)) 1/2) (*.f64 1/2 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (+.f64 1/2 (/.f64 (*.f64 beta -1/2) alpha)) (*.f64 1/2 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 1/2 (/.f64 (-.f64 (*.f64 beta -1/2) (+.f64 (*.f64 1/2 beta) 1)) alpha))
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(+.f64 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 beta -1/2) (+.f64 (*.f64 1/2 beta) 1))) (/.f64 (pow.f64 alpha 2) -1)) (+.f64 1/2 (/.f64 (-.f64 (*.f64 beta -1/2) (+.f64 (*.f64 1/2 beta) 1)) alpha)))
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(/.f64 (-.f64 alpha (*.f64 1/2 alpha)) (+.f64 2 alpha))
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(-.f64 (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))))) (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))))) (*.f64 1/2 (/.f64 alpha (+.f64 2 alpha))))
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(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1/2 (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1/2 (+.f64 2 alpha))))) (/.f64 (-.f64 alpha (*.f64 1/2 alpha)) (+.f64 2 alpha)))))
-1/2
(-.f64 (/.f64 alpha beta) (+.f64 1/2 (+.f64 (*.f64 1/2 (/.f64 alpha beta)) (*.f64 -1/2 (/.f64 (+.f64 2 alpha) beta)))))
(-.f64 (/.f64 alpha beta) (+.f64 (*.f64 1/2 (/.f64 alpha beta)) (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 2 alpha) beta)))))
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 alpha (+.f64 (*.f64 1/2 alpha) (*.f64 -1/2 (+.f64 2 alpha))))) (pow.f64 beta 2)))) (+.f64 1/2 (+.f64 (*.f64 1/2 (/.f64 alpha beta)) (*.f64 -1/2 (/.f64 (+.f64 2 alpha) beta)))))
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(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 alpha (+.f64 (*.f64 1/2 alpha) (*.f64 -1/2 (+.f64 2 alpha))))) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 alpha (+.f64 (*.f64 1/2 alpha) (*.f64 -1/2 (+.f64 2 alpha))))) (pow.f64 beta 2))))) (+.f64 1/2 (+.f64 (*.f64 1/2 (/.f64 alpha beta)) (*.f64 -1/2 (/.f64 (+.f64 2 alpha) beta)))))
(+.f64 (*.f64 (-.f64 alpha (+.f64 (*.f64 1/2 alpha) (+.f64 -1 (*.f64 alpha -1/2)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (+.f64 (/.f64 alpha beta) (-.f64 (*.f64 -1 (*.f64 (-.f64 alpha (+.f64 (*.f64 1/2 alpha) (+.f64 -1 (*.f64 alpha -1/2)))) (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))) (+.f64 (*.f64 1/2 (/.f64 alpha beta)) (+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 2 alpha) beta)))))))
(+.f64 (/.f64 alpha beta) (+.f64 (*.f64 (-.f64 alpha (+.f64 -1 (+.f64 (*.f64 1/2 alpha) (*.f64 alpha -1/2)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (-.f64 (*.f64 -1 (*.f64 (-.f64 alpha (+.f64 -1 (+.f64 (*.f64 1/2 alpha) (*.f64 alpha -1/2)))) (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))) (+.f64 1/2 (+.f64 (*.f64 1/2 (/.f64 alpha beta)) (*.f64 -1/2 (/.f64 (+.f64 2 alpha) beta)))))))
-1/2
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 alpha (*.f64 1/2 alpha))) (*.f64 1/2 (+.f64 2 alpha))) beta)) 1/2)
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1 (-.f64 (*.f64 1/2 alpha) alpha)) (*.f64 1/2 (+.f64 2 alpha))) beta)) 1/2)
(-.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) (*.f64 alpha -1/2)) (*.f64 1/2 (+.f64 2 alpha))) (neg.f64 beta)) 1/2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 alpha (*.f64 1/2 alpha))) (*.f64 1/2 (+.f64 2 alpha))) beta)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 alpha (*.f64 1/2 alpha))) (*.f64 1/2 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 2))) 1/2)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1 (-.f64 (*.f64 1/2 alpha) alpha)) (*.f64 1/2 (+.f64 2 alpha))) beta)) (-.f64 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 1 (-.f64 (*.f64 1/2 alpha) alpha)) (*.f64 1/2 (+.f64 2 alpha)))) (pow.f64 beta 2)) 1/2))
(+.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) (*.f64 alpha -1/2)) (*.f64 1/2 (+.f64 2 alpha))) (neg.f64 beta)) (-.f64 (*.f64 (+.f64 2 alpha) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) (*.f64 alpha -1/2)) (*.f64 1/2 (+.f64 2 alpha))) (pow.f64 beta 2))) 1/2))
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(*.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha) -1)
(-.f64 alpha (*.f64 1/2 (+.f64 beta alpha)))
(*.f64 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))) 1/2)
(*.f64 1/2 (-.f64 alpha beta))
(*.f64 -1 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha))
(-.f64 alpha (*.f64 1/2 (+.f64 beta alpha)))
(*.f64 -1 (-.f64 (-.f64 alpha (+.f64 alpha (-.f64 alpha (+.f64 alpha beta)))) (*.f64 1/2 (+.f64 alpha beta))))
(*.f64 1 (-.f64 (*.f64 1/2 (+.f64 beta alpha)) (-.f64 alpha (-.f64 alpha beta))))
(*.f64 -1 (-.f64 (-.f64 beta (-.f64 alpha alpha)) (*.f64 1/2 (+.f64 beta alpha))))
(*.f64 -1 (-.f64 (-.f64 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))) (+.f64 alpha (-.f64 alpha (+.f64 alpha beta)))) (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))))
(*.f64 1 (-.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (-.f64 (-.f64 alpha beta) (-.f64 alpha beta))))
(*.f64 -1 (-.f64 (-.f64 0 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta)))) (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha)))
(*.f64 1 (-.f64 (*.f64 1/2 (+.f64 beta alpha)) (-.f64 alpha (-.f64 alpha beta))))
(*.f64 -1 (-.f64 (-.f64 beta (-.f64 alpha alpha)) (*.f64 1/2 (+.f64 beta alpha))))
(*.f64 -1 (-.f64 (-.f64 (+.f64 alpha alpha) (+.f64 alpha (-.f64 alpha (+.f64 alpha beta)))) (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2))))
(*.f64 1 (-.f64 (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2)) (-.f64 (+.f64 alpha alpha) (-.f64 alpha beta))))
(*.f64 1 (+.f64 (*.f64 1/2 beta) (-.f64 (*.f64 alpha 3/2) (-.f64 (+.f64 alpha alpha) (-.f64 alpha beta)))))
(*.f64 -1 (-.f64 (-.f64 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (+.f64 alpha (-.f64 alpha (+.f64 alpha beta)))) (+.f64 alpha (+.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 alpha beta))))))
(*.f64 -1 (-.f64 (+.f64 (+.f64 alpha alpha) (-.f64 alpha (+.f64 (*.f64 1/2 (+.f64 beta alpha)) (+.f64 alpha alpha)))) (-.f64 alpha beta)))
(*.f64 -1 (+.f64 (-.f64 alpha (+.f64 alpha (+.f64 (*.f64 1/2 (+.f64 beta alpha)) alpha))) (-.f64 (+.f64 alpha alpha) (-.f64 alpha beta))))
(*.f64 -1 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) (-.f64 (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))) (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))))))
(*.f64 1 (-.f64 (-.f64 (*.f64 1/2 (+.f64 beta alpha)) (-.f64 alpha (-.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 beta alpha))))) (*.f64 1/2 (+.f64 beta alpha))))
(*.f64 1 (-.f64 (-.f64 (-.f64 (*.f64 1/2 (+.f64 beta alpha)) (-.f64 alpha (+.f64 alpha alpha))) (*.f64 1/2 (+.f64 beta alpha))) (*.f64 1/2 (+.f64 beta alpha))))
(*.f64 -1 (-.f64 (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2)) (-.f64 (+.f64 alpha (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))))) (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))))))
(*.f64 1 (-.f64 (+.f64 alpha (-.f64 (*.f64 1/2 (+.f64 beta alpha)) (-.f64 alpha (-.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 beta alpha)))))) (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2))))
(*.f64 1 (+.f64 alpha (-.f64 (-.f64 (-.f64 (*.f64 1/2 (+.f64 beta alpha)) (-.f64 alpha (+.f64 alpha alpha))) (*.f64 1/2 (+.f64 beta alpha))) (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2)))))
(*.f64 -1 (-.f64 (+.f64 alpha (+.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 alpha beta)))) (+.f64 0 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)))))
(*.f64 1 (+.f64 0 (+.f64 (+.f64 alpha alpha) (-.f64 alpha (+.f64 (*.f64 1/2 (+.f64 beta alpha)) (+.f64 alpha alpha))))))
(*.f64 1 (+.f64 0 (-.f64 (+.f64 (+.f64 alpha alpha) alpha) (+.f64 alpha (+.f64 (*.f64 1/2 (+.f64 beta alpha)) alpha)))))
(*.f64 -1 (-.f64 (-.f64 0 (+.f64 alpha alpha)) (+.f64 (*.f64 (+.f64 alpha beta) -1/2) (neg.f64 alpha))))
(*.f64 1 (-.f64 (+.f64 (neg.f64 alpha) (*.f64 -1/2 (+.f64 beta alpha))) (neg.f64 (+.f64 alpha alpha))))
(*.f64 1 (+.f64 (neg.f64 alpha) (-.f64 (*.f64 -1/2 (+.f64 beta alpha)) (neg.f64 (+.f64 alpha alpha)))))
(*.f64 -1 (-.f64 (+.f64 (*.f64 (+.f64 alpha beta) -1/2) (neg.f64 alpha)) (neg.f64 (+.f64 alpha beta))))
(*.f64 -1 (+.f64 (*.f64 -1/2 (+.f64 beta alpha)) (-.f64 (neg.f64 alpha) (neg.f64 (+.f64 beta alpha)))))
(*.f64 1 (-.f64 (neg.f64 (+.f64 beta alpha)) (+.f64 (neg.f64 alpha) (*.f64 -1/2 (+.f64 beta alpha)))))
(*.f64 -1 (-.f64 (*.f64 (+.f64 alpha beta) 1/4) (*.f64 (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))) 1/2)))
(*.f64 1 (-.f64 (*.f64 1/2 (-.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 beta alpha)))) (*.f64 (+.f64 beta alpha) 1/4)))
(*.f64 -1 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2))) (*.f64 (+.f64 alpha (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))))) 1/2)))
(*.f64 -1 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2))) (*.f64 1/2 (+.f64 alpha (-.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 beta alpha)))))))
(-.f64 (*.f64 (+.f64 (*.f64 (*.f64 1/2 beta) 1/2) (*.f64 alpha 3/4)) -1) (*.f64 (-.f64 (+.f64 alpha (+.f64 alpha alpha)) (*.f64 1/2 (+.f64 beta alpha))) -1/2))
(*.f64 -1 (-.f64 (+.f64 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))) (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))) (+.f64 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))) (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))))))
(*.f64 1 (-.f64 (+.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 (+.f64 (-.f64 alpha beta) alpha) (*.f64 1/2 (+.f64 beta alpha)))))
(*.f64 1 (-.f64 (+.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 (-.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 beta alpha))) beta)))
(*.f64 -1 (-.f64 (+.f64 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (+.f64 alpha (+.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 alpha beta))))) (+.f64 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)))))
(*.f64 -1 (+.f64 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (-.f64 (+.f64 alpha (+.f64 (*.f64 1/2 (+.f64 beta alpha)) (+.f64 alpha alpha))) (+.f64 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha))))))
(*.f64 1 (-.f64 (+.f64 alpha (+.f64 (+.f64 alpha (+.f64 (+.f64 alpha alpha) alpha)) (+.f64 (+.f64 alpha alpha) alpha))) (+.f64 alpha (+.f64 (*.f64 1/2 (+.f64 beta alpha)) (+.f64 (+.f64 alpha (+.f64 (+.f64 alpha alpha) alpha)) (+.f64 alpha alpha))))))
(*.f64 -1/2 (+.f64 (*.f64 1/2 (+.f64 alpha beta)) (-.f64 (*.f64 1/2 (+.f64 alpha beta)) (+.f64 alpha alpha))))
(*.f64 -1/2 (+.f64 (*.f64 1/2 (+.f64 beta alpha)) (-.f64 (*.f64 1/2 (+.f64 beta alpha)) (+.f64 alpha alpha))))
(*.f64 -1/2 (-.f64 0 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta)))))
(*.f64 1/2 (-.f64 alpha beta))
(*.f64 -1/2 (-.f64 (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2)) (+.f64 alpha (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))))))
(*.f64 1/2 (-.f64 (+.f64 alpha (-.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 beta alpha)))) (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2))))
(*.f64 1/2 (-.f64 (-.f64 (+.f64 alpha (+.f64 alpha alpha)) (*.f64 1/2 (+.f64 beta alpha))) (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2))))
(*.f64 -1/2 (*.f64 1 (-.f64 0 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))))))
(*.f64 1/2 (-.f64 alpha beta))
(*.f64 -1/2 (*.f64 1 (-.f64 (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2)) (+.f64 alpha (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))))))))
(*.f64 1/2 (-.f64 (+.f64 alpha (-.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 beta alpha)))) (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2))))
(*.f64 1/2 (-.f64 (-.f64 (+.f64 alpha (+.f64 alpha alpha)) (*.f64 1/2 (+.f64 beta alpha))) (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2))))
(*.f64 -1/2 (*.f64 1 (+.f64 (*.f64 1/2 (+.f64 alpha beta)) (-.f64 (*.f64 1/2 (+.f64 alpha beta)) (+.f64 alpha alpha)))))
(*.f64 -1/2 (+.f64 (*.f64 1/2 (+.f64 beta alpha)) (-.f64 (*.f64 1/2 (+.f64 beta alpha)) (+.f64 alpha alpha))))
(*.f64 -1/2 (-.f64 (-.f64 (-.f64 (+.f64 alpha beta) alpha) (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))) (*.f64 1/2 (+.f64 alpha beta))))
(*.f64 -1/2 (-.f64 (-.f64 (*.f64 1/2 (+.f64 beta alpha)) (-.f64 alpha (+.f64 alpha (-.f64 beta alpha)))) (*.f64 1/2 (+.f64 beta alpha))))
(-.f64 (*.f64 (-.f64 (*.f64 1/2 (+.f64 beta alpha)) (-.f64 alpha (+.f64 beta (-.f64 alpha alpha)))) -1/2) (*.f64 (+.f64 beta alpha) -1/4))
(*.f64 -1/2 (-.f64 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))) (+.f64 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))) (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))))))
(*.f64 1/2 (-.f64 (-.f64 (+.f64 (-.f64 alpha beta) alpha) (*.f64 1/2 (+.f64 beta alpha))) (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha)))))
(*.f64 1/2 (+.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (-.f64 (*.f64 1/2 (+.f64 beta alpha)) (-.f64 beta (-.f64 alpha alpha)))))
(*.f64 -1/2 (-.f64 (+.f64 alpha (+.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 alpha beta)))) (+.f64 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))) (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)))))
(*.f64 1/2 (-.f64 (+.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha))) (+.f64 alpha (+.f64 (*.f64 1/2 (+.f64 beta alpha)) (+.f64 alpha alpha)))))
(*.f64 1/2 (+.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (-.f64 (+.f64 (+.f64 alpha alpha) alpha) (+.f64 alpha (+.f64 (*.f64 1/2 (+.f64 beta alpha)) alpha)))))
(*.f64 -1/2 (-.f64 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))) (+.f64 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))) (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))))))
(*.f64 1/2 (-.f64 (+.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)))
(*.f64 1/2 (+.f64 (-.f64 alpha beta) (-.f64 (-.f64 alpha beta) (-.f64 alpha beta))))
(*.f64 -1/2 (-.f64 (+.f64 (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))) (*.f64 1/2 (+.f64 alpha beta))) (+.f64 (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))) (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))))))
(*.f64 1/2 (-.f64 (+.f64 (-.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 beta alpha))) (-.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 beta alpha)))) (+.f64 (*.f64 1/2 (+.f64 beta alpha)) (-.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 beta alpha))))))
(*.f64 -1/2 (-.f64 (+.f64 (+.f64 alpha (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))))) (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2))) (+.f64 (+.f64 alpha (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))))))))
(*.f64 1/2 (-.f64 (+.f64 alpha (+.f64 (+.f64 alpha (-.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 beta alpha)))) (-.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 beta alpha))))) (+.f64 (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2)) (+.f64 alpha (-.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 beta alpha)))))))
(*.f64 1/2 (+.f64 alpha (-.f64 (+.f64 (-.f64 (+.f64 alpha (+.f64 alpha alpha)) (*.f64 1/2 (+.f64 beta alpha))) (-.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 beta alpha)))) (+.f64 (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2)) (-.f64 (+.f64 alpha (+.f64 alpha alpha)) (*.f64 1/2 (+.f64 beta alpha)))))))
(*.f64 -1/2 (-.f64 (+.f64 alpha beta) (+.f64 alpha alpha)))
(*.f64 1/2 (-.f64 alpha beta))
(*.f64 (+.f64 (*.f64 1/2 (+.f64 alpha beta)) (-.f64 (*.f64 1/2 (+.f64 alpha beta)) (+.f64 alpha alpha))) -1/2)
(*.f64 -1/2 (+.f64 (*.f64 1/2 (+.f64 beta alpha)) (-.f64 (*.f64 1/2 (+.f64 beta alpha)) (+.f64 alpha alpha))))
(*.f64 (+.f64 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))) (+.f64 alpha (-.f64 alpha (+.f64 alpha beta)))) 1/4)
(/.f64 (-.f64 alpha beta) 2)
(/.f64 1/2 (/.f64 1/2 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))))
(-.f64 alpha (*.f64 1/2 (+.f64 beta alpha)))
(/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta))) 1)
(-.f64 alpha (*.f64 1/2 (+.f64 beta alpha)))
(/.f64 1 (/.f64 1 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))))
(-.f64 alpha (*.f64 1/2 (+.f64 beta alpha)))
(/.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha) -1)
(-.f64 alpha (*.f64 1/2 (+.f64 beta alpha)))
(/.f64 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta))) 2)
(/.f64 (-.f64 alpha beta) 2)
(/.f64 -1 (/.f64 1 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha)))
(-.f64 alpha (*.f64 1/2 (+.f64 beta alpha)))
(/.f64 -1 (/.f64 -1 (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))))
(-.f64 alpha (*.f64 1/2 (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 0 (+.f64 alpha (-.f64 alpha (+.f64 alpha beta)))) 1/2) -1)
(*.f64 1/2 (-.f64 alpha beta))
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 beta) (*.f64 alpha 3/2)) (+.f64 alpha (+.f64 alpha (-.f64 alpha (*.f64 1/2 (+.f64 alpha beta)))))) 1/2) -1)
(neg.f64 (*.f64 1/2 (+.f64 (*.f64 1/2 beta) (-.f64 (*.f64 alpha 3/2) (+.f64 alpha (-.f64 (+.f64 alpha alpha) (*.f64 1/2 (+.f64 beta alpha))))))))
(neg.f64 (*.f64 1/2 (+.f64 (*.f64 1/2 beta) (-.f64 (*.f64 alpha 3/2) (-.f64 (+.f64 alpha (+.f64 alpha alpha)) (*.f64 1/2 (+.f64 beta alpha)))))))
(neg.f64 (-.f64 (*.f64 1/2 (+.f64 alpha beta)) alpha))
(-.f64 alpha (*.f64 1/2 (+.f64 beta alpha)))

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (neg.f64 beta) (+.f64 beta 2))
✓0.5b
(*.f64 (+.f64 beta 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))
✓2.5b
(+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) -1/2) alpha) (*.f64 1/2 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))))
✓2.6b
(/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2))
Compiler

Compiled 106 to 68 computations (35.8% saved)

series8.0ms (0.1%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
alpha
@0
(/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2))
1.0ms
beta
@0
(+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) -1/2) alpha) (*.f64 1/2 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))))
1.0ms
beta
@0
(/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2))
1.0ms
alpha
@0
(+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) -1/2) alpha) (*.f64 1/2 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))))
1.0ms
beta
@-inf
(+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) -1/2) alpha) (*.f64 1/2 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))))

rewrite88.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1824×rational.json-1
1824×rational.json-2
1824×rational.json-4
1824×rational.json-3
1220×rational.json-simplify-26
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018168
1126168
2600124
34485124
Stop Event
1×node limit
Counts
4 → 290
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2))
(+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) -1/2) alpha) (*.f64 1/2 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(*.f64 (+.f64 beta 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (neg.f64 beta) (+.f64 beta 2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 beta) (neg.f64 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 beta) (-.f64 -2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 beta) (*.f64 1 (neg.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 beta) (+.f64 0 (neg.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 beta) (-.f64 (-.f64 (neg.f64 beta) (*.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 beta -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 beta) (*.f64 1 (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 beta) (*.f64 1/2 (+.f64 (+.f64 (*.f64 beta -2) -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 beta) (/.f64 (-.f64 beta -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 beta -2) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 beta -2) -2) (-.f64 (+.f64 (*.f64 beta -2) -2) (+.f64 (*.f64 beta -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 beta -2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta -2) (-.f64 0 (+.f64 2 (*.f64 beta 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta -2) (-.f64 (+.f64 (+.f64 (*.f64 beta -2) -2) -2) (+.f64 (*.f64 beta -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta -2) (-.f64 (*.f64 beta -2) (+.f64 2 (*.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta -2) (-.f64 (*.f64 beta -2) (+.f64 2 (+.f64 (*.f64 beta -2) (*.f64 beta 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (+.f64 (*.f64 beta -2) -2)) (+.f64 beta (-.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 beta 2)) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -2 beta) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 beta -2) -2) 1/2) (*.f64 (+.f64 (*.f64 beta -2) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 beta -2) (*.f64 beta -2)) (-.f64 0 (+.f64 2 (*.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 beta -2) (*.f64 beta -2)) (-.f64 0 (+.f64 2 (+.f64 (*.f64 beta -2) (*.f64 beta 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 beta) 1/2) (*.f64 1/2 (-.f64 (neg.f64 beta) (*.f64 (+.f64 beta 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 beta -2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (+.f64 beta 2) (-.f64 (+.f64 (*.f64 beta -2) -2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (+.f64 2 (*.f64 beta 0)) (+.f64 (+.f64 (*.f64 beta -2) -2) (*.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 0 (*.f64 2 (+.f64 (*.f64 beta -2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 2 (+.f64 (+.f64 (*.f64 beta -2) -2) (*.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 beta -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 beta -2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 beta -2) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 beta (-.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta (+.f64 (+.f64 beta (-.f64 beta -2)) (-.f64 beta -2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 beta -2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1 (*.f64 2 (+.f64 (*.f64 beta -2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (*.f64 beta -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta (-.f64 beta -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 beta (-.f64 beta -2)))))))

simplify133.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
930×rational.json-simplify-11
674×rational.json-simplify-13
604×rational.json-simplify-3
598×rational.json-simplify-15
540×rational.json-simplify-36
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061815576
1226514390
Stop Event
1×node limit
Counts
374 → 476
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 alpha 2))
(-.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 beta (pow.f64 alpha 2)))
(-.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 beta (pow.f64 alpha 2)))
(-.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2)))
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 3 (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 3 (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 alpha)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 3 (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 alpha)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(/.f64 -4 (pow.f64 alpha 2))
(-.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
-2
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(+.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)) 0)
(+.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)) (/.f64 0 (pow.f64 alpha 2)))
(+.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)) (-.f64 (/.f64 0 (pow.f64 alpha 2)) (/.f64 0 (pow.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)) (+.f64 0 (/.f64 0 (pow.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)) (-.f64 0 (/.f64 0 (pow.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)) (-.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)) (/.f64 0 (*.f64 (pow.f64 alpha 2) 2)))
(+.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)) (*.f64 1 (/.f64 0 (pow.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)) (*.f64 (*.f64 2 (+.f64 (*.f64 beta -2) -2)) 0))
(+.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)) (*.f64 (/.f64 1/2 (pow.f64 alpha 2)) 0))
(+.f64 0 (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)))
(+.f64 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (neg.f64 (pow.f64 alpha 2))) (/.f64 (+.f64 beta 2) (neg.f64 (pow.f64 alpha 2))))
(+.f64 (/.f64 beta (neg.f64 (pow.f64 alpha 2))) (-.f64 (/.f64 0 (pow.f64 alpha 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (/.f64 beta (neg.f64 (pow.f64 alpha 2))) (-.f64 0 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (/.f64 beta (neg.f64 (pow.f64 alpha 2))) (-.f64 (/.f64 beta (neg.f64 (pow.f64 alpha 2))) (/.f64 (+.f64 2 (*.f64 beta 0)) (pow.f64 alpha 2))))
(+.f64 (/.f64 beta (neg.f64 (pow.f64 alpha 2))) (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (neg.f64 (pow.f64 alpha 2))) (*.f64 (/.f64 1/2 (pow.f64 alpha 2)) (+.f64 (+.f64 (*.f64 beta -2) -2) -2)))
(+.f64 (/.f64 beta (neg.f64 (pow.f64 alpha 2))) (/.f64 (-.f64 beta -2) (neg.f64 (pow.f64 alpha 2))))
(+.f64 (/.f64 beta (neg.f64 (pow.f64 alpha 2))) (/.f64 (+.f64 (+.f64 (*.f64 beta -2) -2) -2) (*.f64 (pow.f64 alpha 2) 2)))
(+.f64 (/.f64 0 (pow.f64 alpha 2)) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)))
(+.f64 (/.f64 (*.f64 beta -2) (pow.f64 alpha 2)) (-.f64 0 (/.f64 2 (pow.f64 alpha 2))))
(+.f64 (/.f64 (*.f64 beta -2) (pow.f64 alpha 2)) (-.f64 0 (/.f64 (+.f64 2 (*.f64 beta 0)) (pow.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 beta 2) (neg.f64 (pow.f64 alpha 2))) (/.f64 beta (neg.f64 (pow.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 beta 2) (neg.f64 (pow.f64 alpha 2))) (-.f64 0 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (*.f64 4 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) (pow.f64 alpha 2)))
(+.f64 (/.f64 (neg.f64 beta) (*.f64 (pow.f64 alpha 2) 2)) (/.f64 (-.f64 (neg.f64 beta) (*.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 alpha 2) 2)))
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(+.f64 (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(+.f64 (/.f64 0 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))) 0)
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))) (/.f64 0 (pow.f64 alpha 2)))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))) (*.f64 0 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))) (*.f64 (+.f64 beta 2) 0))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))) (-.f64 (*.f64 (+.f64 beta 2) (*.f64 4 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))) (*.f64 (+.f64 beta 2) (*.f64 4 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))) (/.f64 0 (/.f64 1 (+.f64 beta 2))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))) (/.f64 0 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))) (/.f64 (/.f64 0 (pow.f64 alpha 2)) (/.f64 1 (+.f64 beta 2))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))) (/.f64 (*.f64 (+.f64 (*.f64 beta -2) -2) 0) (pow.f64 alpha 2)))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))) (*.f64 (*.f64 (+.f64 beta 2) 2) 0))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 0 (pow.f64 alpha 2))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))) (*.f64 1 (*.f64 0 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))) (*.f64 1 (*.f64 (+.f64 beta 2) 0)))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))) (*.f64 (*.f64 (+.f64 beta 2) (*.f64 2 (+.f64 (*.f64 beta -2) -2))) 0))
(-.f64 0 (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)))))
(-.f64 0 (/.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))) -1))
(-.f64 (*.f64 0 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)))))
(-.f64 (*.f64 0 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 beta 2) (neg.f64 (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 beta -2) -2)))))
(-.f64 (*.f64 (+.f64 beta 2) 0) (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 beta (neg.f64 (pow.f64 alpha 2)))) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 beta (neg.f64 (pow.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 (+.f64 beta 2))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (-.f64 (*.f64 (+.f64 beta 2) (/.f64 beta (neg.f64 (pow.f64 alpha 2)))) (*.f64 (+.f64 beta 2) (*.f64 4 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))))
(-.f64 (*.f64 (+.f64 beta 2) (*.f64 4 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))))
(-.f64 (*.f64 (*.f64 (+.f64 beta 2) 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))))
(-.f64 (-.f64 (*.f64 (+.f64 beta 2) (/.f64 beta (neg.f64 (pow.f64 alpha 2)))) (*.f64 0 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (-.f64 (*.f64 (+.f64 beta 2) (/.f64 beta (neg.f64 (pow.f64 alpha 2)))) (*.f64 (+.f64 beta 2) 0)) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)))) (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))
(-.f64 (+.f64 0 (*.f64 (+.f64 beta 2) (/.f64 beta (neg.f64 (pow.f64 alpha 2))))) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (/.f64 0 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(-.f64 (/.f64 (*.f64 beta -2) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 2 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(-.f64 (/.f64 (*.f64 beta -2) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 (+.f64 2 (*.f64 beta 0)) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(-.f64 (/.f64 (neg.f64 (+.f64 beta 2)) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(-.f64 (/.f64 (-.f64 -2 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(-.f64 (/.f64 (+.f64 (*.f64 beta -2) (*.f64 beta -2)) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 (+.f64 2 (*.f64 beta -2)) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(-.f64 (/.f64 (+.f64 (*.f64 beta -2) (*.f64 beta -2)) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 (+.f64 2 (+.f64 (*.f64 beta -2) (*.f64 beta 0))) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(-.f64 (/.f64 (/.f64 (*.f64 beta -2) (pow.f64 alpha 2)) (/.f64 1 (+.f64 beta 2))) (/.f64 (/.f64 2 (pow.f64 alpha 2)) (/.f64 1 (+.f64 beta 2))))
(-.f64 (/.f64 (/.f64 (*.f64 beta -2) (pow.f64 alpha 2)) (/.f64 1 (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 0)) (pow.f64 alpha 2)) (/.f64 1 (+.f64 beta 2))))
(-.f64 (/.f64 (/.f64 (+.f64 beta 2) (neg.f64 (pow.f64 alpha 2))) (/.f64 1 (+.f64 beta 2))) (/.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (+.f64 beta 2))))
(-.f64 (*.f64 (/.f64 (*.f64 beta -2) (pow.f64 alpha 2)) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (/.f64 2 (pow.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 (*.f64 beta -2) (pow.f64 alpha 2)) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (*.f64 beta 0)) (pow.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 (+.f64 beta 2) (neg.f64 (pow.f64 alpha 2))) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (*.f64 (*.f64 4 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))))
(-.f64 (*.f64 0 (neg.f64 (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (-.f64 beta -2)) (pow.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (neg.f64 (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (*.f64 0 (/.f64 (+.f64 beta (-.f64 beta -2)) (pow.f64 alpha 2))) (*.f64 (/.f64 (+.f64 beta (-.f64 beta -2)) (pow.f64 alpha 2)) (+.f64 beta 2)))
(-.f64 (*.f64 (*.f64 1/2 (/.f64 beta (neg.f64 (pow.f64 alpha 2)))) (*.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 (+.f64 beta 2) (/.f64 beta (neg.f64 (pow.f64 alpha 2)))) (*.f64 (+.f64 beta 2) (/.f64 beta (neg.f64 (pow.f64 alpha 2))))) (+.f64 (*.f64 (+.f64 beta 2) (/.f64 beta (neg.f64 (pow.f64 alpha 2)))) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 (+.f64 beta 2) (*.f64 4 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))) (*.f64 (+.f64 beta 2) (*.f64 4 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))) (+.f64 (*.f64 (+.f64 beta 2) (*.f64 4 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)))))
(/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 beta -2) -2)))
(/.f64 (+.f64 beta 2) (neg.f64 (neg.f64 (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 beta -2) -2)))))
(/.f64 (+.f64 (*.f64 beta -2) -2) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)))
(/.f64 (+.f64 (*.f64 beta -2) -2) (*.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)) (/.f64 1 (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2))) 1)
(/.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) 1/2)
(/.f64 1 (/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 beta -2) -2)) (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -2)) (pow.f64 alpha 2))
(/.f64 (+.f64 beta (-.f64 beta -2)) (/.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 beta 2)))
(/.f64 (+.f64 beta (-.f64 beta -2)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(/.f64 (+.f64 beta (-.f64 beta -2)) (*.f64 (neg.f64 (pow.f64 alpha 2)) (/.f64 1 (+.f64 beta 2))))
(/.f64 (+.f64 beta (-.f64 beta -2)) (neg.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 (+.f64 (*.f64 beta -2) -2)))
(/.f64 (*.f64 2 (+.f64 (*.f64 beta -2) -2)) (*.f64 (*.f64 (pow.f64 alpha 2) 2) (/.f64 1 (+.f64 beta 2))))
(/.f64 -1 (/.f64 (neg.f64 (pow.f64 alpha 2)) (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -2))))
(/.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 beta -2)))))
(/.f64 (neg.f64 (+.f64 beta 2)) (neg.f64 (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 beta -2) -2))))
(/.f64 (neg.f64 (+.f64 beta 2)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 beta -2) -2))))
(/.f64 (neg.f64 (+.f64 beta 2)) (-.f64 (/.f64 0 (+.f64 (*.f64 beta -2) -2)) (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 beta -2) -2))))
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 beta -2))) (neg.f64 (pow.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 beta (-.f64 beta -2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 1 (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta (-.f64 beta -2)) (pow.f64 alpha 2)) (neg.f64 (/.f64 1 (+.f64 beta 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)))) -1)
(/.f64 (/.f64 (+.f64 1 (*.f64 1/2 beta)) (pow.f64 alpha 2)) (/.f64 -1/2 (+.f64 beta (-.f64 beta -2))))
(/.f64 (*.f64 (+.f64 beta 2) 2) (/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 beta -2) -2)) 1/2))
(/.f64 (*.f64 (+.f64 beta 2) 2) (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 (*.f64 beta -2) -2) 1/2)))
(/.f64 (*.f64 (+.f64 beta 2) 2) (/.f64 1 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 beta 2) 2) (/.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 beta 1)))
(/.f64 (*.f64 (+.f64 beta 2) (*.f64 2 (+.f64 (*.f64 beta -2) -2))) (*.f64 (pow.f64 alpha 2) 2))
(/.f64 (*.f64 (+.f64 beta 2) (*.f64 2 (+.f64 (*.f64 beta -2) -2))) (/.f64 1 (/.f64 1/2 (pow.f64 alpha 2))))
(/.f64 (/.f64 (neg.f64 (+.f64 beta 2)) (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 beta -2) -2))) -1)
(/.f64 (/.f64 (+.f64 beta (-.f64 beta -2)) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) -1)
(/.f64 (/.f64 (/.f64 (+.f64 beta (-.f64 beta -2)) (pow.f64 alpha 2)) (/.f64 1 (+.f64 beta 2))) -1)
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 beta -2))) (pow.f64 alpha 2)) -1)
(/.f64 (*.f64 (*.f64 2 (+.f64 (*.f64 beta -2) -2)) (+.f64 beta 2)) (*.f64 (pow.f64 alpha 2) 2))
(/.f64 (*.f64 (/.f64 (+.f64 beta (-.f64 beta -2)) (pow.f64 alpha 2)) (+.f64 beta 2)) -1)
(/.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (-.f64 beta -2)) (pow.f64 alpha 2))) -1)
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 beta -2) -2) 1/2) (*.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) 2)) (neg.f64 (pow.f64 alpha 2)))
(/.f64 (*.f64 -1/2 (*.f64 (+.f64 beta 2) (*.f64 2 (+.f64 (*.f64 beta -2) -2)))) (neg.f64 (pow.f64 alpha 2)))
(/.f64 (*.f64 1 (*.f64 (+.f64 beta 2) (*.f64 2 (+.f64 (*.f64 beta -2) -2)))) (*.f64 (pow.f64 alpha 2) 2))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 beta -2) -2) 0) (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -2))) (neg.f64 (pow.f64 alpha 2)))
(/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 beta -2)))) (pow.f64 alpha 2))
(/.f64 (+.f64 (+.f64 1 (*.f64 1/2 beta)) (+.f64 1 (*.f64 1/2 beta))) (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 beta -2) -2)))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -2))) (*.f64 1/2 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -2)))) (pow.f64 alpha 2))
(/.f64 (+.f64 (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))) (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))) -1)
(neg.f64 (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)))))
(+.f64 (neg.f64 beta) (neg.f64 (+.f64 beta 2)))
(+.f64 (neg.f64 beta) (-.f64 -2 beta))
(+.f64 (neg.f64 beta) (*.f64 1 (neg.f64 (+.f64 beta 2))))
(+.f64 (neg.f64 beta) (+.f64 0 (neg.f64 (+.f64 beta 2))))
(+.f64 (neg.f64 beta) (-.f64 (-.f64 (neg.f64 beta) (*.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 beta -2) -2)))
(+.f64 (neg.f64 beta) (*.f64 1 (-.f64 -2 beta)))
(+.f64 (neg.f64 beta) (*.f64 1/2 (+.f64 (+.f64 (*.f64 beta -2) -2) -2)))
(+.f64 (neg.f64 beta) (/.f64 (-.f64 beta -2) -1))
(+.f64 (+.f64 (*.f64 beta -2) -2) 0)
(+.f64 (+.f64 (*.f64 beta -2) -2) (-.f64 (+.f64 (*.f64 beta -2) -2) (+.f64 (*.f64 beta -2) -2)))
(+.f64 0 (+.f64 (*.f64 beta -2) -2))
(+.f64 (*.f64 beta -2) -2)
(+.f64 (*.f64 beta -2) (-.f64 0 (+.f64 2 (*.f64 beta 0))))
(+.f64 (*.f64 beta -2) (-.f64 (+.f64 (+.f64 (*.f64 beta -2) -2) -2) (+.f64 (*.f64 beta -2) -2)))
(+.f64 (*.f64 beta -2) (-.f64 (*.f64 beta -2) (+.f64 2 (*.f64 beta -2))))
(+.f64 (*.f64 beta -2) (-.f64 (*.f64 beta -2) (+.f64 2 (+.f64 (*.f64 beta -2) (*.f64 beta 0)))))
(+.f64 (*.f64 2 (+.f64 (*.f64 beta -2) -2)) (+.f64 beta (-.f64 beta -2)))
(+.f64 (neg.f64 (+.f64 beta 2)) (neg.f64 beta))
(+.f64 (-.f64 -2 beta) (neg.f64 beta))
(+.f64 (*.f64 (+.f64 (*.f64 beta -2) -2) 1/2) (*.f64 (+.f64 (*.f64 beta -2) -2) 1/2))
(+.f64 (+.f64 (*.f64 beta -2) (*.f64 beta -2)) (-.f64 0 (+.f64 2 (*.f64 beta -2))))
(+.f64 (+.f64 (*.f64 beta -2) (*.f64 beta -2)) (-.f64 0 (+.f64 2 (+.f64 (*.f64 beta -2) (*.f64 beta 0)))))
(+.f64 -2 (*.f64 beta -2))
(+.f64 (*.f64 (neg.f64 beta) 1/2) (*.f64 1/2 (-.f64 (neg.f64 beta) (*.f64 (+.f64 beta 2) 2))))
(*.f64 (+.f64 (*.f64 beta -2) -2) 1)
(*.f64 -1/2 (-.f64 (+.f64 beta 2) (-.f64 (+.f64 (*.f64 beta -2) -2) beta)))
(*.f64 -1/2 (-.f64 (+.f64 2 (*.f64 beta 0)) (+.f64 (+.f64 (*.f64 beta -2) -2) (*.f64 beta -2))))
(*.f64 -1/2 (-.f64 0 (*.f64 2 (+.f64 (*.f64 beta -2) -2))))
(*.f64 -1/2 (-.f64 2 (+.f64 (+.f64 (*.f64 beta -2) -2) (*.f64 beta -2))))
(*.f64 1/2 (*.f64 2 (+.f64 (*.f64 beta -2) -2)))
(*.f64 1 (+.f64 (*.f64 beta -2) -2))
(*.f64 (*.f64 2 (+.f64 (*.f64 beta -2) -2)) 1/2)
(*.f64 -1 (+.f64 beta (-.f64 beta -2)))
(*.f64 (+.f64 beta (+.f64 (+.f64 beta (-.f64 beta -2)) (-.f64 beta -2))) -1/2)
(/.f64 (+.f64 (*.f64 beta -2) -2) 1)
(/.f64 1/2 (/.f64 1 (*.f64 2 (+.f64 (*.f64 beta -2) -2))))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 beta -2) -2)))
(/.f64 (+.f64 beta (-.f64 beta -2)) -1)
(neg.f64 (+.f64 beta (-.f64 beta -2)))
Outputs
(/.f64 -2 (pow.f64 alpha 2))
(-.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 -2 beta) 2) (pow.f64 alpha 2))
(-.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 -2 beta) 2) (pow.f64 alpha 2))
(-.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 -2 beta) 2) (pow.f64 alpha 2))
(*.f64 -2 (/.f64 beta (pow.f64 alpha 2)))
(/.f64 -2 (/.f64 (pow.f64 alpha 2) beta))
(/.f64 (*.f64 -2 beta) (pow.f64 alpha 2))
(-.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 -2 beta) 2) (pow.f64 alpha 2))
(-.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 -2 beta) 2) (pow.f64 alpha 2))
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(/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2)))
(/.f64 (+.f64 beta (-.f64 beta -2)) (neg.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 (+.f64 (*.f64 beta -2) -2)))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (*.f64 2 (+.f64 (*.f64 beta -2) -2)) (*.f64 (*.f64 (pow.f64 alpha 2) 2) (/.f64 1 (+.f64 beta 2))))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 -1 (/.f64 (neg.f64 (pow.f64 alpha 2)) (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -2))))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 beta -2)))))
(/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 beta 2)) (neg.f64 (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 beta -2) -2))))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 beta 2)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 beta -2) -2))))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (+.f64 beta 2)) (-.f64 (/.f64 0 (+.f64 (*.f64 beta -2) -2)) (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 beta -2) -2))))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 beta -2))) (neg.f64 (pow.f64 alpha 2)))
(/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 beta (-.f64 beta -2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 1 (+.f64 beta 2))))
(/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 beta (-.f64 beta -2)) (pow.f64 alpha 2)) (neg.f64 (/.f64 1 (+.f64 beta 2))))
(/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)))) -1)
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 (*.f64 1/2 beta)) (pow.f64 alpha 2)) (/.f64 -1/2 (+.f64 beta (-.f64 beta -2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 beta 1/2)) (pow.f64 alpha 2)) (/.f64 (+.f64 beta (-.f64 beta -2)) -1/2))
(/.f64 (*.f64 (+.f64 beta 2) 2) (/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 beta -2) -2)) 1/2))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 beta 2) 2) (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 (*.f64 beta -2) -2) 1/2)))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 beta 2) 2) (/.f64 1 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)) (/.f64 (+.f64 2 beta) 1/2))
(*.f64 2 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 beta 2) 2) (/.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 beta 1)))
(*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)) (/.f64 (+.f64 2 beta) 1/2))
(*.f64 2 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 beta 2) (*.f64 2 (+.f64 (*.f64 beta -2) -2))) (*.f64 (pow.f64 alpha 2) 2))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 beta 2) (*.f64 2 (+.f64 (*.f64 beta -2) -2))) (/.f64 1 (/.f64 1/2 (pow.f64 alpha 2))))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (/.f64 (neg.f64 (+.f64 beta 2)) (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 beta -2) -2))) -1)
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 beta (-.f64 beta -2)) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) -1)
(/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2)))
(/.f64 (/.f64 (/.f64 (+.f64 beta (-.f64 beta -2)) (pow.f64 alpha 2)) (/.f64 1 (+.f64 beta 2))) -1)
(/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 beta -2))) (pow.f64 alpha 2)) -1)
(/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2)))
(/.f64 (*.f64 (*.f64 2 (+.f64 (*.f64 beta -2) -2)) (+.f64 beta 2)) (*.f64 (pow.f64 alpha 2) 2))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (*.f64 (/.f64 (+.f64 beta (-.f64 beta -2)) (pow.f64 alpha 2)) (+.f64 beta 2)) -1)
(/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (-.f64 beta -2)) (pow.f64 alpha 2))) -1)
(/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2)))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 beta -2) -2) 1/2) (*.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) 2)) (neg.f64 (pow.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)) (/.f64 (+.f64 2 beta) 1/2))
(*.f64 2 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))
(/.f64 (*.f64 -1/2 (*.f64 (+.f64 beta 2) (*.f64 2 (+.f64 (*.f64 beta -2) -2)))) (neg.f64 (pow.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 2 beta) (*.f64 -1/2 (*.f64 2 (+.f64 -2 (*.f64 -2 beta))))) (neg.f64 (pow.f64 alpha 2)))
(*.f64 (*.f64 (+.f64 -2 (*.f64 -2 beta)) -1) (/.f64 (+.f64 2 beta) (neg.f64 (pow.f64 alpha 2))))
(/.f64 (*.f64 1 (*.f64 (+.f64 beta 2) (*.f64 2 (+.f64 (*.f64 beta -2) -2)))) (*.f64 (pow.f64 alpha 2) 2))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 beta -2) -2) 0) (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -2))) (neg.f64 (pow.f64 alpha 2)))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 beta -2)))) (pow.f64 alpha 2))
(/.f64 (+.f64 -2 (-.f64 (neg.f64 beta) beta)) (/.f64 (pow.f64 alpha 2) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2)))
(/.f64 (+.f64 (+.f64 1 (*.f64 1/2 beta)) (+.f64 1 (*.f64 1/2 beta))) (/.f64 (pow.f64 alpha 2) (+.f64 (*.f64 beta -2) -2)))
(*.f64 (+.f64 1 (+.f64 (+.f64 1 (*.f64 beta 1/2)) (*.f64 beta 1/2))) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (+.f64 -2 (*.f64 beta -4))) (/.f64 (+.f64 1 (*.f64 beta 1/2)) (pow.f64 alpha 2)))
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -2))) (*.f64 1/2 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -2)))) (pow.f64 alpha 2))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (+.f64 (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))) (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))) -1)
(neg.f64 (+.f64 (neg.f64 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))) (neg.f64 (*.f64 (+.f64 2 beta) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))))
(+.f64 (*.f64 (+.f64 2 beta) (/.f64 (/.f64 (-.f64 -1 beta) 1) (pow.f64 alpha 2))) (*.f64 (+.f64 2 beta) (/.f64 (/.f64 (-.f64 -1 beta) 1) (pow.f64 alpha 2))))
(neg.f64 (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 (*.f64 beta -2) -2) (pow.f64 alpha 2)))))
(*.f64 (+.f64 2 beta) (/.f64 (+.f64 -2 (*.f64 -2 beta)) (pow.f64 alpha 2)))
(*.f64 (+.f64 -2 (*.f64 -2 beta)) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(+.f64 (neg.f64 beta) (neg.f64 (+.f64 beta 2)))
(+.f64 (neg.f64 beta) (neg.f64 (+.f64 2 beta)))
(-.f64 (neg.f64 beta) (+.f64 2 beta))
(+.f64 (neg.f64 beta) (-.f64 -2 beta))
(+.f64 -2 (-.f64 (neg.f64 beta) beta))
(+.f64 (-.f64 -2 beta) (neg.f64 beta))
(+.f64 (neg.f64 beta) (*.f64 1 (neg.f64 (+.f64 beta 2))))
(+.f64 (neg.f64 beta) (neg.f64 (+.f64 2 beta)))
(-.f64 (neg.f64 beta) (+.f64 2 beta))
(+.f64 (neg.f64 beta) (+.f64 0 (neg.f64 (+.f64 beta 2))))
(+.f64 (neg.f64 beta) (neg.f64 (+.f64 2 beta)))
(-.f64 (neg.f64 beta) (+.f64 2 beta))
(+.f64 (neg.f64 beta) (-.f64 (-.f64 (neg.f64 beta) (*.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 beta -2) -2)))
(+.f64 (neg.f64 beta) (-.f64 (neg.f64 beta) (+.f64 (*.f64 2 (+.f64 2 beta)) (+.f64 -2 (*.f64 -2 beta)))))
(+.f64 (neg.f64 beta) (-.f64 (neg.f64 beta) (+.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 (*.f64 2 beta) 4))))
(+.f64 (neg.f64 beta) (*.f64 1 (-.f64 -2 beta)))
(+.f64 -2 (-.f64 (neg.f64 beta) beta))
(+.f64 (-.f64 -2 beta) (neg.f64 beta))
(+.f64 (neg.f64 beta) (*.f64 1/2 (+.f64 (+.f64 (*.f64 beta -2) -2) -2)))
(+.f64 (neg.f64 beta) (+.f64 (*.f64 1/2 (+.f64 -2 (*.f64 -2 beta))) -1))
(+.f64 (neg.f64 beta) (*.f64 1/2 (+.f64 (*.f64 -2 beta) -4)))
(+.f64 (neg.f64 beta) (/.f64 (-.f64 beta -2) -1))
(+.f64 -2 (-.f64 (neg.f64 beta) beta))
(+.f64 (-.f64 -2 beta) (neg.f64 beta))
(+.f64 (+.f64 (*.f64 beta -2) -2) 0)
(+.f64 -2 (*.f64 -2 beta))
(+.f64 (+.f64 (*.f64 beta -2) -2) (-.f64 (+.f64 (*.f64 beta -2) -2) (+.f64 (*.f64 beta -2) -2)))
(+.f64 (+.f64 -2 (*.f64 -2 beta)) (-.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 -2 (*.f64 -2 beta))))
(+.f64 -2 (+.f64 (+.f64 (*.f64 (*.f64 -2 beta) 0) 0) (*.f64 -2 beta)))
(+.f64 0 (+.f64 (*.f64 beta -2) -2))
(+.f64 -2 (*.f64 -2 beta))
(+.f64 (*.f64 beta -2) -2)
(+.f64 -2 (*.f64 -2 beta))
(+.f64 (*.f64 beta -2) (-.f64 0 (+.f64 2 (*.f64 beta 0))))
(+.f64 (*.f64 -2 beta) (neg.f64 (+.f64 2 (*.f64 beta 0))))
(+.f64 (*.f64 beta -2) (-.f64 (+.f64 (+.f64 (*.f64 beta -2) -2) -2) (+.f64 (*.f64 beta -2) -2)))
(+.f64 (+.f64 -2 (*.f64 -2 beta)) (-.f64 (+.f64 -2 (*.f64 -2 beta)) (+.f64 -2 (*.f64 -2 beta))))
(+.f64 -2 (+.f64 (+.f64 (*.f64 (*.f64 -2 beta) 0) 0) (*.f64 -2 beta)))
(+.f64 (*.f64 beta -2) (-.f64 (*.f64 beta -2) (+.f64 2 (*.f64 beta -2))))
(-.f64 (*.f64 -2 beta) 2)
(+.f64 (*.f64 beta -2) (-.f64 (*.f64 beta -2) (+.f64 2 (+.f64 (*.f64 beta -2) (*.f64 beta 0)))))
(-.f64 (*.f64 -2 beta) 2)
(+.f64 (*.f64 2 (+.f64 (*.f64 beta -2) -2)) (+.f64 beta (-.f64 beta -2)))
(+.f64 beta (+.f64 (*.f64 2 (+.f64 -2 (*.f64 -2 beta))) (-.f64 beta -2)))
(+.f64 beta (+.f64 beta (-.f64 (+.f64 -2 (+.f64 -2 (*.f64 beta -4))) -2)))
(+.f64 (neg.f64 (+.f64 beta 2)) (neg.f64 beta))
(+.f64 (neg.f64 beta) (neg.f64 (+.f64 2 beta)))
(-.f64 (neg.f64 beta) (+.f64 2 beta))
(+.f64 (-.f64 -2 beta) (neg.f64 beta))
(+.f64 -2 (-.f64 (neg.f64 beta) beta))
(+.f64 (*.f64 (+.f64 (*.f64 beta -2) -2) 1/2) (*.f64 (+.f64 (*.f64 beta -2) -2) 1/2))
(+.f64 -2 (*.f64 -2 beta))
(+.f64 (+.f64 (*.f64 beta -2) (*.f64 beta -2)) (-.f64 0 (+.f64 2 (*.f64 beta -2))))
(+.f64 -2 (*.f64 -2 beta))
(+.f64 (+.f64 (*.f64 beta -2) (*.f64 beta -2)) (-.f64 0 (+.f64 2 (+.f64 (*.f64 beta -2) (*.f64 beta 0)))))
(+.f64 -2 (*.f64 -2 beta))
(+.f64 -2 (*.f64 beta -2))
(+.f64 -2 (*.f64 -2 beta))
(+.f64 (*.f64 (neg.f64 beta) 1/2) (*.f64 1/2 (-.f64 (neg.f64 beta) (*.f64 (+.f64 beta 2) 2))))
(*.f64 1/2 (+.f64 (neg.f64 beta) (-.f64 (neg.f64 beta) (*.f64 2 (+.f64 2 beta)))))
(+.f64 (*.f64 beta -1/2) (-.f64 (*.f64 beta -1/2) (*.f64 (+.f64 2 beta) 1)))
(*.f64 (+.f64 (*.f64 beta -2) -2) 1)
(+.f64 -2 (*.f64 -2 beta))
(*.f64 -1/2 (-.f64 (+.f64 beta 2) (-.f64 (+.f64 (*.f64 beta -2) -2) beta)))
(*.f64 -1/2 (-.f64 (+.f64 2 beta) (+.f64 (*.f64 -2 beta) (-.f64 -2 beta))))
(*.f64 -1/2 (-.f64 (+.f64 2 (*.f64 beta 0)) (+.f64 (+.f64 (*.f64 beta -2) -2) (*.f64 beta -2))))
(*.f64 -1/2 (-.f64 (+.f64 2 (*.f64 beta 0)) (+.f64 (*.f64 -2 beta) (+.f64 -2 (*.f64 -2 beta)))))
(*.f64 -1/2 (+.f64 (*.f64 beta 0) (-.f64 2 (+.f64 -2 (*.f64 beta -4)))))
(*.f64 -1/2 (-.f64 0 (*.f64 2 (+.f64 (*.f64 beta -2) -2))))
(+.f64 -2 (*.f64 -2 beta))
(*.f64 -1/2 (-.f64 2 (+.f64 (+.f64 (*.f64 beta -2) -2) (*.f64 beta -2))))
(-.f64 -1 (*.f64 -1/2 (+.f64 (*.f64 -2 beta) (+.f64 -2 (*.f64 -2 beta)))))
(-.f64 (*.f64 (+.f64 -2 (*.f64 beta -4)) 1/2) 1)
(*.f64 1/2 (*.f64 2 (+.f64 (*.f64 beta -2) -2)))
(+.f64 -2 (*.f64 -2 beta))
(*.f64 1 (+.f64 (*.f64 beta -2) -2))
(+.f64 -2 (*.f64 -2 beta))
(*.f64 (*.f64 2 (+.f64 (*.f64 beta -2) -2)) 1/2)
(+.f64 -2 (*.f64 -2 beta))
(*.f64 -1 (+.f64 beta (-.f64 beta -2)))
(+.f64 -2 (-.f64 (neg.f64 beta) beta))
(+.f64 (-.f64 -2 beta) (neg.f64 beta))
(*.f64 (+.f64 beta (+.f64 (+.f64 beta (-.f64 beta -2)) (-.f64 beta -2))) -1/2)
(+.f64 -2 (-.f64 (neg.f64 beta) beta))
(+.f64 (-.f64 -2 beta) (neg.f64 beta))
(/.f64 (+.f64 (*.f64 beta -2) -2) 1)
(+.f64 -2 (*.f64 -2 beta))
(/.f64 1/2 (/.f64 1 (*.f64 2 (+.f64 (*.f64 beta -2) -2))))
(+.f64 -2 (*.f64 -2 beta))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 beta -2) -2)))
(+.f64 -2 (*.f64 -2 beta))
(/.f64 (+.f64 beta (-.f64 beta -2)) -1)
(+.f64 -2 (-.f64 (neg.f64 beta) beta))
(+.f64 (-.f64 -2 beta) (neg.f64 beta))
(neg.f64 (+.f64 beta (-.f64 beta -2)))
(+.f64 -2 (-.f64 (neg.f64 beta) beta))
(+.f64 (-.f64 -2 beta) (neg.f64 beta))

eval1.2s (8.1%)

Compiler

Compiled 65968 to 45377 computations (31.2% saved)

prune1.1s (7.4%)

Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New2096102106
Fresh549
Picked101
Done145
Total2103182121
Error
0.0b
Counts
2121 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
45.9b
(/.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))) 2)
▶11.2b
(/.f64 (-.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)
✓31.6b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
32.9b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
17.6b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶14.7b
(/.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
50.9b
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))) 2)
15.2b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (neg.f64 (+.f64 alpha beta)) (*.f64 beta -2))) 1) 2)
45.9b
(/.f64 (+.f64 beta 1) alpha)
▶31.8b
(/.f64 1 2)
51.3b
(-.f64 (/.f64 1 alpha) (/.f64 2 (pow.f64 alpha 2)))
▶47.0b
(-.f64 (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) (/.f64 (+.f64 beta 1) alpha))
✓15.2b
(-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))))
✓15.2b
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))
✓61.7b
(-.f64 1/2 1/2)
48.8b
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 4)))))))
▶46.0b
(+.f64 1 (/.f64 (+.f64 1 alpha) (neg.f64 beta)))
40.8b
1
Compiler

Compiled 571 to 432 computations (24.3% saved)

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))
✓0.0b
(/.f64 beta (-.f64 -2 (+.f64 alpha beta)))
✓0.0b
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
✓3.3b
(+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
Compiler

Compiled 164 to 94 computations (42.7% saved)

series6.0ms (0%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
beta
@-inf
(+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
1.0ms
alpha
@-inf
(+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
1.0ms
beta
@inf
(+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
0.0ms
alpha
@inf
(+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
0.0ms
alpha
@0
(+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))

rewrite83.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1010×rational.json-simplify-1
886×rational.json-simplify-19
816×rational.json-simplify-15
764×rational.json-1
764×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01688
110988
237688
3209388
Stop Event
1×node limit
Counts
4 → 344
Calls
Call 1
Inputs
(+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(/.f64 beta (-.f64 -2 (+.f64 alpha beta)))
(/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 alpha beta) (-.f64 -2 (+.f64 alpha beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 alpha beta) (-.f64 -2 (+.f64 alpha beta))) (+.f64 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 alpha beta) (-.f64 -2 (+.f64 alpha beta))) (+.f64 -1 (/.f64 0 (-.f64 -2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 alpha beta) (-.f64 -2 (+.f64 alpha beta))) (+.f64 (/.f64 0 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 alpha beta) (-.f64 -2 (+.f64 alpha beta))) (+.f64 (*.f64 (+.f64 alpha beta) 0) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 alpha beta) (-.f64 -2 (+.f64 alpha beta))) (+.f64 -1 (*.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (-.f64 -2 (+.f64 alpha beta)))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 0 (-.f64 -2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 0 (/.f64 0 (-.f64 -2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 0 (/.f64 0 (-.f64 -2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 0 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))) 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egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 2 (/.f64 1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 0 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (+.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 0 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 -1 (/.f64 1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 alpha alpha)) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 alpha alpha)) (-.f64 0 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 alpha alpha)) (-.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (-.f64 -2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 alpha (+.f64 alpha (+.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 (+.f64 alpha alpha) (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 alpha (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 0 (*.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (*.f64 1/2 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (*.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (*.f64 1 (*.f64 1/2 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (-.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))) (*.f64 1/2 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta)))) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta)))) (-.f64 (+.f64 (+.f64 alpha alpha) alpha) (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 alpha -2)) (-.f64 0 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 alpha -2)) (-.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (+.f64 alpha alpha))) (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))) (+.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))

simplify216.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1316×rational.json-simplify-11
1022×rational.json-simplify-3
898×rational.json-simplify-13
848×rational.json-simplify-18
696×rational.json-simplify-20
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084620174
1302819554
Stop Event
1×node limit
Counts
440 → 745
Calls
Call 1
Inputs
(+.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 beta (+.f64 beta 2))) (*.f64 (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)))))
(+.f64 (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3)) (*.f64 (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))))))
(/.f64 (+.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (*.f64 2 (/.f64 1 alpha))))))))))
(*.f64 -1 (/.f64 (+.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)))))
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1 (+.f64 (*.f64 beta (-.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 1 (+.f64 (*.f64 beta (-.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 1 (+.f64 (*.f64 beta (-.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))))
(/.f64 (+.f64 2 (+.f64 (*.f64 -1 alpha) alpha)) beta)
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))))
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))))))
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 beta 4))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))))))))))
(*.f64 -1 (/.f64 (+.f64 alpha (*.f64 -1 (+.f64 2 alpha))) beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 alpha (*.f64 -1 (+.f64 2 alpha))) beta))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 alpha (*.f64 -1 (+.f64 2 alpha))) beta)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 alpha (*.f64 -1 (+.f64 2 alpha))) beta)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 beta 4)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))
(/.f64 beta (+.f64 2 alpha))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4))))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(*.f64 -1 (/.f64 beta (+.f64 2 alpha)))
(+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 beta (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 beta (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -1 (/.f64 beta (+.f64 2 alpha))) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4)))))
-1
(-.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (*.f64 2 (/.f64 1 beta))))) 1)
-1
(-.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (*.f64 2 (/.f64 1 beta))))) 1)
(*.f64 -1 (/.f64 beta (+.f64 beta 2)))
(+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (/.f64 beta (+.f64 beta 2))) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4)))))
(*.f64 -1 (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 beta alpha)) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
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(-.f64 (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) 2) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(-.f64 (+.f64 (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) 2) (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) 2)) (+.f64 (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) 2) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 1 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(*.f64 alpha (/.f64 1 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 alpha (-.f64 0 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) 1)
(*.f64 2 (*.f64 alpha (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 2 (-.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (*.f64 alpha (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (neg.f64 alpha) (*.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) -1))
(*.f64 (neg.f64 alpha) (-.f64 0 (/.f64 1 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (+.f64 alpha alpha) (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))
(*.f64 1/2 (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) 2))
(*.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha alpha))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (*.f64 alpha -2))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (/.f64 -1 (/.f64 1/2 alpha)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (neg.f64 alpha))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) alpha)
(*.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(*.f64 -1 (*.f64 (+.f64 alpha alpha) (-.f64 0 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))))
(*.f64 -1 (*.f64 (*.f64 alpha -2) (-.f64 0 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))))
(*.f64 -1 (-.f64 (-.f64 alpha alpha) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 -1 (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 0 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 -1 (-.f64 (+.f64 (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) 2) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))) (+.f64 (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) 2) (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) 2))))
(*.f64 -1/2 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 -1/2 (/.f64 (*.f64 alpha -2) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 -1/2 (*.f64 (+.f64 alpha alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 -1/2 (*.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) (*.f64 alpha -2)))
(*.f64 -1/2 (/.f64 (+.f64 alpha alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 -1/2 (-.f64 0 (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) 2)))
(*.f64 -1/2 (-.f64 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))) (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) 2)))
(*.f64 -1/2 (-.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) 2))))
(*.f64 (*.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) 2) 1/2)
(*.f64 (*.f64 alpha -2) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (*.f64 alpha -2) (neg.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)
(*.f64 (*.f64 alpha (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))) 2)
(*.f64 (*.f64 1/2 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)))
(*.f64 (*.f64 1/2 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 2 (/.f64 1/2 alpha)))
(*.f64 (-.f64 0 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (+.f64 alpha alpha)))
(*.f64 (-.f64 0 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 -1 (/.f64 1/2 alpha)))
(*.f64 (neg.f64 (+.f64 alpha alpha)) (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (neg.f64 (+.f64 alpha alpha)) (-.f64 0 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (neg.f64 (+.f64 alpha alpha)) (-.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (neg.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 alpha -2))
(*.f64 (neg.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 alpha (+.f64 alpha (+.f64 alpha alpha))))
(*.f64 (neg.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 (+.f64 alpha alpha) (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha))))
(*.f64 (neg.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 alpha (neg.f64 alpha)))
(*.f64 (neg.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 0 (*.f64 alpha -2)))
(*.f64 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (*.f64 1/2 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (*.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))) 1/2))
(*.f64 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (*.f64 1 (*.f64 1/2 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (-.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))) (*.f64 1/2 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1/2)
(*.f64 (neg.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta)))) (neg.f64 alpha))
(*.f64 (neg.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta)))) (-.f64 (+.f64 (+.f64 alpha alpha) alpha) (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha))))
(*.f64 (neg.f64 (*.f64 alpha -2)) (-.f64 0 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (neg.f64 (*.f64 alpha -2)) (-.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (neg.f64 (neg.f64 (+.f64 alpha alpha))) (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (neg.f64 (neg.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))) (+.f64 alpha alpha))
(neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
Outputs
(+.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (/.f64 (neg.f64 beta) (+.f64 beta 2)))
(+.f64 (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 (neg.f64 beta) (+.f64 beta 2))))
(+.f64 (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 beta (+.f64 beta 2))) (*.f64 (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)))))
(+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta 2)) (*.f64 (+.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)))))
(+.f64 (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 beta 2)))))
(+.f64 (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3)) (*.f64 (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta 2)) (+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3))))))
(+.f64 (+.f64 (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3)) (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta 2)) (*.f64 (+.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)))) (+.f64 (*.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 beta 2))) alpha) 1))
(/.f64 (+.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)
(/.f64 (+.f64 beta (+.f64 (neg.f64 beta) 2)) alpha)
(/.f64 (+.f64 2 (+.f64 (neg.f64 beta) beta)) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (neg.f64 beta) alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 2 alpha)))))
(+.f64 (+.f64 (/.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 2 alpha))) (+.f64 (/.f64 beta alpha) (/.f64 beta (neg.f64 alpha))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))))))
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 (neg.f64 beta) alpha) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 2 alpha) (*.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3))))))))))
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (neg.f64 alpha)) (+.f64 (/.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 2 alpha) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (neg.f64 beta)) (pow.f64 alpha 3))))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (*.f64 2 (/.f64 1 alpha))))))))))
(+.f64 (/.f64 (neg.f64 beta) alpha) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 beta (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 2 alpha) (*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 beta (pow.f64 alpha 4)))))))))))
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (neg.f64 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (neg.f64 beta)) (pow.f64 alpha 3)) (+.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (+.f64 (/.f64 2 alpha) (*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 beta (pow.f64 alpha 4)))) (+.f64 (/.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (/.f64 (pow.f64 alpha 4) -1)))))))))
(*.f64 -1 (/.f64 (+.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))
(*.f64 -1 (/.f64 (+.f64 beta (+.f64 (neg.f64 beta) -2)) alpha))
(/.f64 (+.f64 (neg.f64 beta) (+.f64 beta -2)) (neg.f64 alpha))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 (neg.f64 beta) -2)) alpha)) (-.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))))
(+.f64 (/.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (+.f64 (neg.f64 beta) (+.f64 beta -2)) (neg.f64 alpha)) (*.f64 -1 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 beta (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 (neg.f64 beta) -2)) alpha)) (-.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))))))
(+.f64 (/.f64 (+.f64 (neg.f64 beta) (+.f64 beta -2)) (neg.f64 alpha)) (+.f64 (/.f64 -1 (/.f64 (pow.f64 alpha 3) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (neg.f64 beta))))) (-.f64 (/.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 beta (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 (neg.f64 beta) -2)) alpha)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 beta (pow.f64 alpha 4)))))))
(+.f64 (/.f64 -1 (/.f64 (pow.f64 alpha 3) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (neg.f64 beta))))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (/.f64 (pow.f64 alpha 4) -1)) (-.f64 (+.f64 (/.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 (neg.f64 beta) (+.f64 beta -2)) (neg.f64 alpha))) (+.f64 (*.f64 -1 (*.f64 beta (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 beta (pow.f64 alpha 4))))))))
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 2 alpha)))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(+.f64 1 (+.f64 (*.f64 beta (-.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 1 (+.f64 (/.f64 (neg.f64 alpha) (+.f64 2 alpha)) (*.f64 beta (-.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 (*.f64 beta (-.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(+.f64 1 (+.f64 (*.f64 beta (-.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 1 (+.f64 (*.f64 beta (-.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (/.f64 (neg.f64 alpha) (+.f64 2 alpha)) (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (*.f64 beta (-.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
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(/.f64 (+.f64 2 (+.f64 (*.f64 -1 alpha) alpha)) beta)
(/.f64 (+.f64 2 (+.f64 alpha (neg.f64 alpha))) beta)
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(/.f64 beta (+.f64 2 alpha))
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1
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1
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(/.f64 beta (+.f64 beta 2))
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(/.f64 beta alpha)
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(/.f64 beta alpha)
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(*.f64 -1 (/.f64 beta (+.f64 2 alpha)))
(/.f64 (neg.f64 beta) (+.f64 2 alpha))
(/.f64 beta (-.f64 -2 alpha))
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(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1/2)
(/.f64 (+.f64 alpha alpha) (/.f64 (+.f64 (+.f64 beta 2) alpha) -1/2))
(/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (neg.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta)))) (neg.f64 alpha))
(*.f64 alpha (-.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) 0))
(*.f64 -1 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (neg.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta)))) (-.f64 (+.f64 (+.f64 alpha alpha) alpha) (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha))))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) (-.f64 (+.f64 (+.f64 alpha alpha) (+.f64 alpha alpha)) (+.f64 alpha (+.f64 alpha alpha))))
(*.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) (+.f64 alpha (-.f64 alpha (+.f64 alpha (+.f64 alpha alpha)))))
(*.f64 (neg.f64 (*.f64 alpha -2)) (-.f64 0 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 alpha alpha) (/.f64 (+.f64 (+.f64 beta 2) alpha) -1/2))
(/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (neg.f64 (*.f64 alpha -2)) (-.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 alpha alpha) (/.f64 (+.f64 (+.f64 beta 2) alpha) -1/2))
(/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (neg.f64 (neg.f64 (+.f64 alpha alpha))) (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha alpha) (/.f64 (+.f64 (+.f64 beta 2) alpha) -1/2))
(/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (neg.f64 (neg.f64 (/.f64 -1/2 (+.f64 alpha (+.f64 beta 2))))) (+.f64 alpha alpha))
(/.f64 (+.f64 alpha alpha) (/.f64 (+.f64 (+.f64 beta 2) alpha) -1/2))
(/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 beta alpha)))
(neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha alpha) (/.f64 (+.f64 (+.f64 beta 2) alpha) -1/2))
(/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 beta alpha)))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (/.f64 (+.f64 1 alpha) (neg.f64 beta)))
✓0.0b
(/.f64 (+.f64 1 alpha) (neg.f64 beta))
Compiler

Compiled 24 to 14 computations (41.7% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
beta
@inf
(/.f64 (+.f64 1 alpha) (neg.f64 beta))
0.0ms
alpha
@-inf
(/.f64 (+.f64 1 alpha) (neg.f64 beta))
0.0ms
beta
@0
(/.f64 (+.f64 1 alpha) (neg.f64 beta))
0.0ms
alpha
@0
(/.f64 (+.f64 1 alpha) (neg.f64 beta))
0.0ms
alpha
@inf
(/.f64 (+.f64 1 alpha) (neg.f64 beta))

rewrite81.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
984×rational.json-simplify-13
906×rational.json-simplify-5
738×rational.json-simplify-11
674×rational.json-simplify-1
618×rational.json-simplify-19
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01040
16440
222832
3123832
Stop Event
1×node limit
Counts
2 → 264
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (neg.f64 beta))
(+.f64 1 (/.f64 (+.f64 1 alpha) (neg.f64 beta)))
Outputs
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(-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))) (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)))))))

simplify88.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
876×rational.json-simplify-13
820×rational.json-simplify-14
804×rational.json-simplify-9
764×rational.json-simplify-21
656×rational.json-simplify-11
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05127478
118926082
Stop Event
1×node limit
Counts
312 → 341
Calls
Call 1
Inputs
(/.f64 -1 beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(*.f64 -1 (/.f64 alpha beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(*.f64 -1 (/.f64 alpha beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(-.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (/.f64 1 beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (/.f64 1 beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (/.f64 1 beta))
(*.f64 -1 (/.f64 alpha beta))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
(*.f64 -1 (/.f64 alpha beta))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) 0)
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 0 beta))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (+.f64 1 alpha) 0))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (/.f64 0 beta) (*.f64 (+.f64 1 alpha) 0)))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 (*.f64 (+.f64 1 alpha) 0) (/.f64 0 beta)))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 (/.f64 0 beta) (*.f64 (+.f64 1 alpha) 0)))
(+.f64 0 (/.f64 (-.f64 -1 alpha) beta))
(+.f64 (/.f64 -1 beta) (/.f64 (neg.f64 alpha) beta))
(+.f64 (/.f64 -1 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0)))
(+.f64 (/.f64 -1 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) (*.f64 (+.f64 1 alpha) 0)))
(+.f64 (/.f64 -1 beta) (-.f64 (-.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 alpha beta)) (/.f64 (-.f64 -1 alpha) beta)))
(+.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 -1 beta))
(+.f64 (/.f64 (neg.f64 alpha) beta) (-.f64 (/.f64 -1 beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0)))
(+.f64 (/.f64 (neg.f64 alpha) beta) (-.f64 (/.f64 -1 beta) (*.f64 (+.f64 1 alpha) 0)))
(+.f64 (/.f64 (neg.f64 alpha) beta) (-.f64 (/.f64 0 beta) (/.f64 1 beta)))
(+.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (/.f64 -1 beta) (-.f64 alpha alpha)))
(+.f64 (/.f64 (neg.f64 alpha) beta) (-.f64 (-.f64 alpha alpha) (/.f64 1 beta)))
(+.f64 (/.f64 (neg.f64 alpha) beta) (-.f64 (+.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 -1 beta)) (/.f64 (-.f64 -1 alpha) beta)))
(+.f64 (/.f64 (neg.f64 alpha) beta) (-.f64 (/.f64 -1 beta) (-.f64 alpha alpha)))
(+.f64 (/.f64 -1/2 beta) (*.f64 (/.f64 -1/2 beta) (-.f64 alpha (-.f64 -1 alpha))))
(+.f64 (/.f64 -1/2 beta) (+.f64 0 (*.f64 (/.f64 -1/2 beta) (-.f64 alpha (-.f64 -1 alpha)))))
(+.f64 (/.f64 -1/2 beta) (+.f64 (/.f64 0 beta) (*.f64 (/.f64 -1/2 beta) (-.f64 alpha (-.f64 -1 alpha)))))
(+.f64 (/.f64 -1/2 beta) (-.f64 (*.f64 (/.f64 -1/2 beta) (-.f64 alpha (-.f64 -1 alpha))) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0)))
(+.f64 (/.f64 -1/2 beta) (-.f64 (*.f64 (/.f64 -1/2 beta) (-.f64 alpha (-.f64 -1 alpha))) (*.f64 (+.f64 1 alpha) 0)))
(+.f64 (/.f64 (+.f64 1 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2))
(+.f64 (/.f64 0 beta) (/.f64 (-.f64 -1 alpha) beta))
(+.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2) (/.f64 (+.f64 1 alpha) beta))
(+.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2) (-.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2) (+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2))))
(+.f64 (/.f64 -2 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 -1 beta)))
(+.f64 (*.f64 -1/2 (/.f64 alpha beta)) (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 2)))
(+.f64 (*.f64 -1/2 (/.f64 alpha beta)) (+.f64 0 (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 2))))
(+.f64 (*.f64 -1/2 (/.f64 alpha beta)) (+.f64 (/.f64 0 beta) (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 2))))
(+.f64 (*.f64 -1/2 (/.f64 alpha beta)) (-.f64 (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 2)) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0)))
(+.f64 (*.f64 -1/2 (/.f64 alpha beta)) (-.f64 (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 2)) (*.f64 (+.f64 1 alpha) 0)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 -1 alpha) beta)) (*.f64 1/2 (/.f64 (-.f64 -1 alpha) beta)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 -1 alpha) beta)) (+.f64 0 (*.f64 1/2 (/.f64 (-.f64 -1 alpha) beta))))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 -1 alpha) beta)) (+.f64 (/.f64 0 beta) (*.f64 1/2 (/.f64 (-.f64 -1 alpha) beta))))
(+.f64 (*.f64 -2 (/.f64 alpha beta)) (-.f64 (/.f64 -1 beta) (/.f64 (neg.f64 alpha) beta)))
(+.f64 (-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 alpha beta)) (-.f64 (/.f64 -1 beta) (/.f64 (neg.f64 alpha) beta)))
(+.f64 (+.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2)) (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2))))
(+.f64 (+.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2)) (-.f64 (/.f64 0 beta) (+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2))))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) 0)
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 0 beta))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (+.f64 1 alpha) 0))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 alpha alpha))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (/.f64 0 beta) (*.f64 (+.f64 1 alpha) 0)))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (-.f64 -1 alpha) beta)))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0) (/.f64 0 beta)))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (*.f64 (+.f64 1 alpha) 0) (/.f64 0 beta)))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0)))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (*.f64 (+.f64 1 alpha) 0) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0)))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0) (*.f64 (+.f64 1 alpha) 0)))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (*.f64 (+.f64 1 alpha) 0) (*.f64 (+.f64 1 alpha) 0)))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (-.f64 -1 alpha) 0))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (+.f64 -1 (-.f64 (-.f64 -1 alpha) alpha)) 0))
(-.f64 0 (/.f64 (+.f64 1 alpha) beta))
(-.f64 (/.f64 -1 beta) (/.f64 alpha beta))
(-.f64 (/.f64 -1 beta) (+.f64 (/.f64 alpha beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0)))
(-.f64 (/.f64 -1 beta) (+.f64 (/.f64 alpha beta) (*.f64 (+.f64 1 alpha) 0)))
(-.f64 (/.f64 -1 beta) (+.f64 0 (/.f64 alpha beta)))
(-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 1 beta))
(-.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (/.f64 1 beta) (/.f64 0 beta)))
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(-.f64 (-.f64 (+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2)) (+.f64 (/.f64 (-.f64 -1 alpha) beta) -1)) (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 1 (+.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2))) (+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2)))
(-.f64 (+.f64 (+.f64 1 (/.f64 (neg.f64 alpha) beta)) (/.f64 -2 beta)) (/.f64 -1 beta))
(-.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2) -1) (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (*.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2)) 1/2) -1/2)
(-.f64 (*.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)) 1/2) (*.f64 1/2 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))))
(*.f64 1 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))
(*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 1)
(*.f64 1/2 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2))
(*.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)))
(*.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) -1)
(*.f64 -1/2 (+.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
(*.f64 -1/2 (-.f64 0 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)))
(*.f64 -1/2 (-.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (+.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2))))
(*.f64 -1/2 (-.f64 -1 (+.f64 1 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2))))
(*.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2) 1/2)
(*.f64 (+.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))) -1/2)
(/.f64 1 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
(/.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 1)
(/.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)))
(/.f64 1/2 (/.f64 -1 (+.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)))))
(/.f64 -1 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) -1)
(/.f64 (*.f64 (+.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))) 1/2) -1)
(/.f64 (-.f64 (+.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))) (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))) -1)
(neg.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)))
Outputs
(/.f64 -1 beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(/.f64 alpha (neg.f64 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(/.f64 alpha (neg.f64 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(-.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (/.f64 1 beta))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (/.f64 1 beta))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (/.f64 1 beta))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(/.f64 alpha (neg.f64 beta))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(/.f64 alpha (neg.f64 beta))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) 0)
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 0 beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (+.f64 1 alpha) 0))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (+.f64 alpha 1) 0))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 0 (*.f64 alpha 0)))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (/.f64 0 beta) (*.f64 (+.f64 1 alpha) 0)))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (+.f64 alpha 1) 0))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 0 (*.f64 alpha 0)))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 (*.f64 (+.f64 1 alpha) 0) (/.f64 0 beta)))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (+.f64 alpha 1) 0))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 0 (*.f64 alpha 0)))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 (/.f64 0 beta) (*.f64 (+.f64 1 alpha) 0)))
(-.f64 (/.f64 (+.f64 (-.f64 -1 alpha) 0) beta) (*.f64 (+.f64 alpha 1) 0))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 0 (*.f64 alpha 0)))
(+.f64 0 (/.f64 (-.f64 -1 alpha) beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (/.f64 -1 beta) (/.f64 (neg.f64 alpha) beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (/.f64 -1 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0)))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (/.f64 -1 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) (*.f64 (+.f64 1 alpha) 0)))
(-.f64 (/.f64 (+.f64 (-.f64 -1 alpha) 0) beta) (*.f64 (+.f64 alpha 1) 0))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 0 (*.f64 alpha 0)))
(+.f64 (/.f64 -1 beta) (-.f64 (-.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 alpha beta)) (/.f64 (-.f64 -1 alpha) beta)))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 -1 beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (/.f64 (neg.f64 alpha) beta) (-.f64 (/.f64 -1 beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0)))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (/.f64 (neg.f64 alpha) beta) (-.f64 (/.f64 -1 beta) (*.f64 (+.f64 1 alpha) 0)))
(-.f64 (/.f64 (+.f64 (-.f64 -1 alpha) 0) beta) (*.f64 (+.f64 alpha 1) 0))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 0 (*.f64 alpha 0)))
(+.f64 (/.f64 (neg.f64 alpha) beta) (-.f64 (/.f64 0 beta) (/.f64 1 beta)))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (/.f64 -1 beta) (-.f64 alpha alpha)))
(+.f64 (/.f64 -1 beta) (+.f64 (/.f64 (neg.f64 alpha) beta) (-.f64 alpha alpha)))
(+.f64 (-.f64 alpha alpha) (/.f64 (-.f64 -1 alpha) beta))
(+.f64 (/.f64 (neg.f64 alpha) beta) (-.f64 (-.f64 alpha alpha) (/.f64 1 beta)))
(+.f64 (/.f64 -1 beta) (+.f64 (/.f64 (neg.f64 alpha) beta) (-.f64 alpha alpha)))
(+.f64 (-.f64 alpha alpha) (/.f64 (-.f64 -1 alpha) beta))
(+.f64 (/.f64 (neg.f64 alpha) beta) (-.f64 (+.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 -1 beta)) (/.f64 (-.f64 -1 alpha) beta)))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (/.f64 (neg.f64 alpha) beta) (-.f64 (/.f64 -1 beta) (-.f64 alpha alpha)))
(-.f64 (/.f64 (+.f64 -1 (neg.f64 alpha)) beta) (-.f64 alpha alpha))
(-.f64 alpha (-.f64 alpha (/.f64 (-.f64 -1 alpha) beta)))
(+.f64 (/.f64 -1/2 beta) (*.f64 (/.f64 -1/2 beta) (-.f64 alpha (-.f64 -1 alpha))))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (/.f64 -1/2 beta) (+.f64 0 (*.f64 (/.f64 -1/2 beta) (-.f64 alpha (-.f64 -1 alpha)))))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (/.f64 -1/2 beta) (+.f64 (/.f64 0 beta) (*.f64 (/.f64 -1/2 beta) (-.f64 alpha (-.f64 -1 alpha)))))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (/.f64 -1/2 beta) (-.f64 (*.f64 (/.f64 -1/2 beta) (-.f64 alpha (-.f64 -1 alpha))) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0)))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (/.f64 -1/2 beta) (-.f64 (*.f64 (/.f64 -1/2 beta) (-.f64 alpha (-.f64 -1 alpha))) (*.f64 (+.f64 1 alpha) 0)))
(-.f64 (/.f64 (+.f64 (-.f64 -1 alpha) 0) beta) (*.f64 (+.f64 alpha 1) 0))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 0 (*.f64 alpha 0)))
(+.f64 (/.f64 (+.f64 1 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2))
(+.f64 (/.f64 (+.f64 alpha 1) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2))
(+.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 -2 (*.f64 alpha -2)) beta))
(+.f64 (/.f64 0 beta) (/.f64 (-.f64 -1 alpha) beta))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2) (/.f64 (+.f64 1 alpha) beta))
(+.f64 (/.f64 (+.f64 alpha 1) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2))
(+.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 -2 (*.f64 alpha -2)) beta))
(+.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2) (-.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2) (+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2))))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (/.f64 -2 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 -1 beta)))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (*.f64 -1/2 (/.f64 alpha beta)) (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 2)))
(+.f64 (*.f64 (/.f64 alpha beta) -1/2) (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 2)))
(*.f64 (/.f64 -1/2 beta) (+.f64 alpha (+.f64 alpha 2)))
(+.f64 (*.f64 -1/2 (/.f64 alpha beta)) (+.f64 0 (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 alpha beta) -1/2) (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 2)))
(*.f64 (/.f64 -1/2 beta) (+.f64 alpha (+.f64 alpha 2)))
(+.f64 (*.f64 -1/2 (/.f64 alpha beta)) (+.f64 (/.f64 0 beta) (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 alpha beta) -1/2) (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 2)))
(*.f64 (/.f64 -1/2 beta) (+.f64 alpha (+.f64 alpha 2)))
(+.f64 (*.f64 -1/2 (/.f64 alpha beta)) (-.f64 (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 2)) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0)))
(+.f64 (*.f64 (/.f64 alpha beta) -1/2) (-.f64 (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 2)) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0)))
(-.f64 (*.f64 (/.f64 -1/2 beta) (+.f64 alpha (+.f64 alpha 2))) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0))
(+.f64 (*.f64 -1/2 (/.f64 alpha beta)) (-.f64 (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 2)) (*.f64 (+.f64 1 alpha) 0)))
(+.f64 (*.f64 (/.f64 alpha beta) -1/2) (-.f64 (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 2)) (*.f64 (+.f64 alpha 1) 0)))
(-.f64 (*.f64 (/.f64 -1/2 beta) (+.f64 alpha (+.f64 alpha 2))) (+.f64 0 (*.f64 alpha 0)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 -1 alpha) beta)) (*.f64 1/2 (/.f64 (-.f64 -1 alpha) beta)))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (*.f64 1/2 (/.f64 (-.f64 -1 alpha) beta)) (+.f64 0 (*.f64 1/2 (/.f64 (-.f64 -1 alpha) beta))))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (*.f64 1/2 (/.f64 (-.f64 -1 alpha) beta)) (+.f64 (/.f64 0 beta) (*.f64 1/2 (/.f64 (-.f64 -1 alpha) beta))))
(/.f64 (-.f64 (neg.f64 alpha) 1) beta)
(/.f64 (-.f64 -1 alpha) beta)
(+.f64 (*.f64 -2 (/.f64 alpha beta)) (-.f64 (/.f64 -1 beta) (/.f64 (neg.f64 alpha) beta)))
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(-.f64 (*.f64 (+.f64 alpha 1) 0) (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -1 (+.f64 0 (*.f64 alpha 0))))
(-.f64 (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 2)) (-.f64 -1 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 0) (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 0) (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 1 (/.f64 0 beta)) (/.f64 (+.f64 1 alpha) beta))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 1 (/.f64 -1 beta)) (/.f64 alpha beta))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)) (-.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2)) (/.f64 (-.f64 -1 alpha) beta))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2)) (-.f64 (+.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2)) (+.f64 1 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2))))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 (/.f64 (-.f64 -1 alpha) beta) -1) (-.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)) (+.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)) (*.f64 1 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2))))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (-.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2)) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))) -1)
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (-.f64 (+.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2)) -1) (+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (-.f64 -1 (/.f64 0 beta)) (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 2)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (-.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)) (/.f64 0 beta)) (+.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (-.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 0)) -1)
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (-.f64 -1 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 0)) (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 2)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (-.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 0)) (+.f64 (/.f64 (-.f64 -1 alpha) beta) -1))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (-.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2)) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 0)) (/.f64 (-.f64 -1 alpha) beta))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (-.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 0)) (+.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (/.f64 (-.f64 -1 alpha) beta) -1)) (/.f64 (+.f64 1 alpha) beta))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (-.f64 (+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2)) (+.f64 (/.f64 (-.f64 -1 alpha) beta) -1)) (/.f64 (-.f64 -1 alpha) beta))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 1 (+.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2))) (+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (+.f64 (+.f64 1 (/.f64 (neg.f64 alpha) beta)) (/.f64 -2 beta)) (/.f64 -1 beta))
(+.f64 (+.f64 1 (/.f64 (neg.f64 alpha) beta)) (-.f64 (/.f64 -2 beta) (/.f64 -1 beta)))
(+.f64 (+.f64 1 (/.f64 alpha (neg.f64 beta))) (/.f64 -1 beta))
(-.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2) -1) (/.f64 (-.f64 -1 alpha) beta))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (*.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2)) 1/2) -1/2)
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (*.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)) 1/2) (*.f64 1/2 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(*.f64 1 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 1)
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(*.f64 1/2 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(*.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(*.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) -1)
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(*.f64 -1/2 (+.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(*.f64 -1/2 (-.f64 0 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(*.f64 -1/2 (-.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (+.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2))))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(*.f64 -1/2 (-.f64 -1 (+.f64 1 (*.f64 (/.f64 (-.f64 -1 alpha) beta) 2))))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(*.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2) 1/2)
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(*.f64 (+.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))) -1/2)
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(/.f64 1 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(/.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 1)
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(/.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)) 2)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(/.f64 1/2 (/.f64 -1 (+.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)))))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(/.f64 -1 (/.f64 1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) -1)
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(/.f64 (*.f64 (+.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))) 1/2) -1)
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(/.f64 (-.f64 (+.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))) (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))) -1)
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(neg.f64 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)))
(+.f64 1 (/.f64 (-.f64 (neg.f64 alpha) 1) beta))
(+.f64 1 (/.f64 (-.f64 -1 alpha) beta))

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
✓0.0b
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
0.0b
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
✓3.4b
(-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 73 to 47 computations (35.6% saved)

series12.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
5.0ms
beta
@0
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
3.0ms
alpha
@-inf
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
0.0ms
beta
@-inf
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
0.0ms
alpha
@0
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
0.0ms
beta
@0
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))

rewrite122.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
726×rational.json-simplify-23
692×rational.json-1
692×rational.json-2
692×rational.json-4
692×rational.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01293
17975
225875
3143375
Stop Event
1×node limit
Counts
3 → 287
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 alpha (neg.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 1/2 (-.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (/.f64 alpha (neg.f64 (+.f64 alpha (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 1/2 (-.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify165.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1338×rational.json-simplify-11
1220×rational.json-simplify-13
742×rational.json-simplify-3
682×rational.json-simplify-14
600×rational.json-simplify-18
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079419545
1304318875
Stop Event
1×node limit
Counts
359 → 600
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)))))) (/.f64 alpha (+.f64 2 alpha)))
1
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(-.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) -2)) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (+.f64 0 (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (+.f64 0 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (+.f64 (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (+.f64 (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (*.f64 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2) (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))
(-.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)) (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(-.f64 (/.f64 (/.f64 2 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) -1) (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) -1))
(-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))
(-.f64 (/.f64 (-.f64 (/.f64 2 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) -1) (/.f64 alpha (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) -1) (/.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) -1))
(-.f64 (*.f64 (/.f64 2 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) -1) (*.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(-.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2) (*.f64 1/2 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1)))
(-.f64 (*.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 1/2) (/.f64 alpha (*.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (*.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 1/2) (*.f64 1/2 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (*.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/2) (*.f64 1/2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (*.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)) 1/2) (*.f64 1/2 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(-.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) -1) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)))
(-.f64 (*.f64 (-.f64 (/.f64 2 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) -1) (/.f64 alpha (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 1 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (/.f64 2 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 1/2 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (/.f64 2 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha))))
(*.f64 1/2 (+.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) -2) (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(*.f64 1/2 (+.f64 (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) -2)))
(*.f64 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1) -1)
(*.f64 -1 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1))
(*.f64 -1 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 -1 (-.f64 (-.f64 (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(*.f64 -1 (-.f64 (-.f64 0 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1)))
(*.f64 -1 (-.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1 (-.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(*.f64 -1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(*.f64 -1 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 4)))
(*.f64 -1 (-.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) -2))))
(*.f64 -1 (-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 0 (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (+.f64 0 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))))
(*.f64 -1 (-.f64 (+.f64 (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (+.f64 (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1 (-.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) (*.f64 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)))
(*.f64 -1 (-.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))))
(*.f64 -1/2 (-.f64 0 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (+.f64 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1) (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1)))
(*.f64 -1/2 (-.f64 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 -1/2 (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1/2 (-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3)))
(*.f64 -1/2 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))))
(*.f64 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1/2)
(*.f64 (+.f64 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1) (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1)) -1/2)
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(/.f64 1/2 (/.f64 1 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 1/2 (/.f64 -1 (+.f64 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1) (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1) -1)
(/.f64 -1 (/.f64 1 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (*.f64 (+.f64 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1) (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1)) 1/2) -1)
(/.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(/.f64 (-.f64 (-.f64 (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) -1)
(/.f64 (-.f64 (-.f64 0 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1)) -1)
(/.f64 (-.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) -1)
(/.f64 (-.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) -1)
(/.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) -1)
(/.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 4)) -1)
(/.f64 (-.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) -2))) -1)
(/.f64 (-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 0 (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) -1)
(/.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (+.f64 0 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))) -1)
(/.f64 (-.f64 (+.f64 (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (+.f64 (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) -1)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) (*.f64 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)) -1)
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))) -1)
(/.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (/.f64 2 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha))) 1)
(/.f64 (-.f64 (+.f64 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1) (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1)) (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1)) -1)
(neg.f64 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1))
Outputs
1
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 beta 2)))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 beta 2)))))
(+.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 beta 2))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (neg.f64 alpha) (+.f64 beta 2))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (neg.f64 alpha) (+.f64 beta 2)) (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (neg.f64 alpha) (+.f64 beta 2)) (+.f64 1 (/.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (+.f64 beta 2) alpha))))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
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1
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1
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1
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1
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(/.f64 alpha beta)
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(/.f64 alpha beta)
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2
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2
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(*.f64 -1/2 (-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3)))
(*.f64 1/2 (-.f64 (*.f64 3 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3/2) (*.f64 1/2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 -1/2 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))))
(*.f64 1/2 (-.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (*.f64 2 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (+.f64 1 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 1/2 (+.f64 (*.f64 2 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1/2)
(-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1) (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1)) -1/2)
(-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/2 (/.f64 1 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/2 (/.f64 -1 (+.f64 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1) (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1))))
(-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1) -1)
(-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 -1 (/.f64 1 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1)))
(-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1) (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1)) 1/2) -1)
(-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (+.f64 2 (*.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))
(/.f64 (-.f64 (-.f64 (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) -1)
(-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (+.f64 2 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 2 (*.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))))
(-.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) -1) (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) -2))
(/.f64 (-.f64 (-.f64 0 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1)) -1)
(-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (+.f64 2 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 2 (*.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))))
(-.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) -1) (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) -2))
(/.f64 (-.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) -1)
(neg.f64 (-.f64 (*.f64 2 (-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (+.f64 1 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (*.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) -2) (neg.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) -1)
(neg.f64 (-.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(neg.f64 (-.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 (*.f64 beta 2) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) -1)
(neg.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(neg.f64 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (*.f64 beta 2) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 4)) -1)
(neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 3 (+.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(neg.f64 (+.f64 3 (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (-.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) -2))) -1)
(neg.f64 (-.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -2) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 0 (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) -1)
(-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (+.f64 0 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))) -1)
(neg.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))) (+.f64 0 (*.f64 2 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))
(neg.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 0 (*.f64 2 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))))
(/.f64 (-.f64 (+.f64 (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (+.f64 (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) -1)
(-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) (*.f64 (*.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)) -1)
(neg.f64 (-.f64 (*.f64 3 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (*.f64 2 (+.f64 2 (*.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))
(neg.f64 (-.f64 (*.f64 3 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 4)))
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))) -1)
(/.f64 (-.f64 (*.f64 2 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (/.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))) 1)
(/.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (/.f64 2 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha))) 1)
(-.f64 (/.f64 alpha (neg.f64 (+.f64 alpha (+.f64 beta 2)))) (+.f64 -1 (*.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 (*.f64 -1 beta) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 (+.f64 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1) (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1)) (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1)) -1)
(neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) -1) (-.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) -1))))
(neg.f64 (-.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) -2)) (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) -1)))
(neg.f64 (-.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 1))
(-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))

localize75.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))
✓2.5b
(+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha))
✓2.6b
(/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))
✓3.5b
(-.f64 (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) (/.f64 (+.f64 beta 1) alpha))
Compiler

Compiled 102 to 69 computations (32.4% saved)

series8.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
alpha
@0
(-.f64 (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) (/.f64 (+.f64 beta 1) alpha))
1.0ms
beta
@0
(-.f64 (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) (/.f64 (+.f64 beta 1) alpha))
1.0ms
beta
@inf
(-.f64 (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) (/.f64 (+.f64 beta 1) alpha))
0.0ms
alpha
@inf
(-.f64 (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) (/.f64 (+.f64 beta 1) alpha))
0.0ms
alpha
@0
(/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))

rewrite83.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1958×rational.json-1
1958×rational.json-2
1958×rational.json-4
1958×rational.json-3
326×rational.json-simplify-13
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020178
1144172
2645154
34782154
Stop Event
1×node limit
Counts
4 → 273
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) (/.f64 (+.f64 beta 1) alpha))
(/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))
(+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha))
(*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (+.f64 (/.f64 (+.f64 beta 1) alpha) (*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (+.f64 (/.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (-.f64 (+.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (*.f64 2 (/.f64 (+.f64 beta 1) alpha)))) (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 (+.f64 beta (+.f64 beta 2)) (+.f64 beta 1)) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (-.f64 (/.f64 (+.f64 beta 1) alpha) (*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (-.f64 (/.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (-.f64 -1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) (-.f64 (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (*.f64 2 (/.f64 (+.f64 beta 1) alpha)))) (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 (+.f64 beta (+.f64 beta 2)) (+.f64 beta 1)) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 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simplify146.0ms (1%)

Algorithm
1×egg-herbie
Rules
1508×rational.json-simplify-14
1402×rational.json-simplify-11
818×rational.json-simplify-13
594×rational.json-simplify-18
574×rational.json-simplify-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062118015
1231517461
Stop Event
1×node limit
Counts
369 → 493
Calls
Call 1
Inputs
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 3 (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 3 (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 alpha)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 3 (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 alpha)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 1 alpha))) (/.f64 beta alpha))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 1 alpha))) (/.f64 beta alpha))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 1 alpha))) (/.f64 beta alpha))
(/.f64 (-.f64 (+.f64 1 (*.f64 2 beta)) beta) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 1 alpha))) (/.f64 beta alpha))
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(+.f64 (/.f64 0 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))
(+.f64 (/.f64 (/.f64 beta (neg.f64 (pow.f64 alpha 2))) (/.f64 -1 (-.f64 -2 beta))) (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 beta (neg.f64 (pow.f64 alpha 2))) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 2))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) 0)
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)) 0))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 0 (pow.f64 alpha 2)))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (*.f64 (+.f64 beta 2) 0))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (-.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2)))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 0 (/.f64 -1 (-.f64 -2 beta))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 0 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (/.f64 0 (pow.f64 alpha 2)) (/.f64 -1 (-.f64 -2 beta))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 -1 beta) 0) (pow.f64 alpha 2)))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 0 (pow.f64 alpha 2))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (*.f64 1 (*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)) 0)))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (*.f64 1 (*.f64 (+.f64 beta 2) 0)))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (*.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta beta))) 0))
(-.f64 0 (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))))
(-.f64 0 (/.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) -1))
(-.f64 (*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)) 0) (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))))
(-.f64 (*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)) 0) (/.f64 (+.f64 beta 2) (neg.f64 (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))))
(-.f64 (*.f64 (+.f64 beta 2) 0) (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 2))) (/.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 -1 (-.f64 -2 beta))))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 beta (pow.f64 alpha 2))) (-.f64 (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2)))))
(-.f64 (*.f64 beta (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 -2 (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta))))
(-.f64 (*.f64 beta (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)) -2))
(-.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))
(-.f64 (-.f64 (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 2))) (*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)) 0)) (*.f64 (+.f64 beta 2) (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (-.f64 (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 2))) (*.f64 (+.f64 beta 2) 0)) (*.f64 (+.f64 beta 2) (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 0 (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 2)))) (*.f64 (+.f64 beta 2) (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (/.f64 (+.f64 beta beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta))) (/.f64 (+.f64 beta -2) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta))))
(-.f64 (/.f64 (+.f64 (+.f64 beta beta) (+.f64 beta beta)) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta))) (/.f64 (+.f64 beta (+.f64 -2 (+.f64 beta beta))) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta))))
(-.f64 (/.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 beta (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(-.f64 (/.f64 0 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(-.f64 (/.f64 -2 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 (+.f64 beta -1) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(-.f64 (/.f64 -4 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) (/.f64 (+.f64 beta -3) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(-.f64 (/.f64 (/.f64 beta (neg.f64 (pow.f64 alpha 2))) (/.f64 -1 (-.f64 -2 beta))) (/.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 -1 (-.f64 -2 beta))))
(-.f64 (/.f64 (/.f64 -2 (pow.f64 alpha 2)) (/.f64 -1 (-.f64 -2 beta))) (/.f64 (/.f64 (+.f64 beta -1) (pow.f64 alpha 2)) (/.f64 -1 (-.f64 -2 beta))))
(-.f64 (*.f64 (/.f64 beta (neg.f64 (pow.f64 alpha 2))) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2)) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 -2 (pow.f64 alpha 2)) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta -1) (pow.f64 alpha 2))))
(-.f64 (*.f64 (+.f64 beta beta) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)) (+.f64 beta -2)))
(-.f64 (*.f64 (+.f64 (+.f64 beta beta) (+.f64 beta beta)) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)) (+.f64 beta (+.f64 -2 (+.f64 beta beta)))))
(-.f64 (*.f64 (*.f64 (+.f64 beta 2) 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))
(-.f64 (*.f64 0 (-.f64 -2 beta)) (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 2)) (-.f64 -2 beta)) (*.f64 (-.f64 -2 beta) (/.f64 -1 (pow.f64 alpha 2))))
(-.f64 (*.f64 0 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) (+.f64 beta 2)))
(-.f64 (+.f64 (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 2)))) (+.f64 (*.f64 (+.f64 beta 2) (/.f64 -1 (pow.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 beta (pow.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2)))) (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -2 (+.f64 beta beta)) (pow.f64 alpha 2))) (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))))
(/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(/.f64 (+.f64 beta 2) (neg.f64 (neg.f64 (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))))
(/.f64 -1 (/.f64 (neg.f64 (pow.f64 alpha 2)) (*.f64 (+.f64 beta 2) (-.f64 -1 beta))))
(/.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta 2) (+.f64 beta 1))))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)))
(/.f64 (-.f64 -1 beta) (*.f64 (/.f64 -1 (-.f64 -2 beta)) (pow.f64 alpha 2)))
(/.f64 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)) (/.f64 -1 (-.f64 -2 beta)))
(/.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) 1)
(/.f64 1 (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta 2) (-.f64 -1 beta))))
(/.f64 1 (*.f64 (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)) (/.f64 -1 (-.f64 -2 beta))))
(/.f64 1 (/.f64 (neg.f64 (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta))) (-.f64 -2 beta)))
(/.f64 1 (/.f64 -1 (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))))
(/.f64 (+.f64 beta 1) (/.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 beta 2)))
(/.f64 (+.f64 beta 1) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (neg.f64 (pow.f64 alpha 2)) (/.f64 -1 (-.f64 -2 beta))))
(/.f64 (+.f64 beta 1) (neg.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 -1 beta)) (pow.f64 alpha 2))
(/.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (*.f64 (pow.f64 alpha 2) 2) (/.f64 -1 (-.f64 -2 beta))))
(/.f64 (*.f64 (+.f64 beta 2) (/.f64 1/2 (pow.f64 alpha 2))) (/.f64 1/2 (-.f64 -1 beta)))
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 1)) (neg.f64 (pow.f64 alpha 2)))
(/.f64 (-.f64 -2 beta) (neg.f64 (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 beta) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 beta) (-.f64 (/.f64 0 (-.f64 -1 beta)) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))) -1)
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 -1 (-.f64 -2 beta))))
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) (neg.f64 (/.f64 -1 (-.f64 -2 beta))))
(/.f64 (*.f64 (+.f64 beta 2) 2) (/.f64 (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)) 1/2))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta beta))) (*.f64 (pow.f64 alpha 2) 2))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta beta))) (/.f64 1 (/.f64 1/2 (pow.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 -1 (+.f64 beta 1)))
(/.f64 (/.f64 (-.f64 -2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta))) -1)
(/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) -1)
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) (/.f64 -1 (-.f64 -2 beta))) -1)
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 -1 beta)) (*.f64 (pow.f64 alpha 2) 2)) 1/2)
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 1)) (pow.f64 alpha 2)) -1)
(/.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (+.f64 beta 2)) (*.f64 (pow.f64 alpha 2) 2))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) (+.f64 beta 2)) -1)
(/.f64 (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) -1)
(/.f64 (*.f64 1 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta beta)))) (*.f64 (pow.f64 alpha 2) 2))
(/.f64 (*.f64 -1/2 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta beta)))) (neg.f64 (pow.f64 alpha 2)))
(/.f64 (-.f64 (*.f64 (-.f64 -1 beta) 0) (*.f64 (+.f64 beta 2) (-.f64 -1 beta))) (neg.f64 (pow.f64 alpha 2)))
(/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 1))) (pow.f64 alpha 2))
(neg.f64 (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))))
Outputs
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (/.f64 2 (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (/.f64 3 (pow.f64 alpha 2)))) (-.f64 (/.f64 1 alpha) (/.f64 2 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (/.f64 3 (pow.f64 alpha 2)))) (+.f64 (/.f64 1 alpha) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (/.f64 2 (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (/.f64 3 (pow.f64 alpha 2)))) (+.f64 (/.f64 (pow.f64 beta 2) (neg.f64 (pow.f64 alpha 2))) (-.f64 (/.f64 1 alpha) (/.f64 2 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (/.f64 3 (pow.f64 alpha 2)))) (+.f64 (/.f64 1 alpha) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (/.f64 2 (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (/.f64 3 (pow.f64 alpha 2)))) (+.f64 (/.f64 (pow.f64 beta 2) (neg.f64 (pow.f64 alpha 2))) (-.f64 (/.f64 1 alpha) (/.f64 2 (pow.f64 alpha 2)))))
(*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(/.f64 (pow.f64 beta 2) (neg.f64 (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (/.f64 3 (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (/.f64 3 (pow.f64 alpha 2)))) (/.f64 (pow.f64 beta 2) (neg.f64 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (/.f64 3 (pow.f64 alpha 2)))) (+.f64 (/.f64 1 alpha) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (/.f64 2 (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (/.f64 3 (pow.f64 alpha 2)))) (+.f64 (/.f64 (pow.f64 beta 2) (neg.f64 (pow.f64 alpha 2))) (-.f64 (/.f64 1 alpha) (/.f64 2 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (*.f64 3 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (/.f64 3 (pow.f64 alpha 2)))) (+.f64 (/.f64 1 alpha) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) (/.f64 2 (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 alpha) (/.f64 3 (pow.f64 alpha 2)))) (+.f64 (/.f64 (pow.f64 beta 2) (neg.f64 (pow.f64 alpha 2))) (-.f64 (/.f64 1 alpha) (/.f64 2 (pow.f64 alpha 2)))))
(*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(/.f64 (pow.f64 beta 2) (neg.f64 (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 3 (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 beta (-.f64 (/.f64 3 (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(+.f64 (/.f64 (pow.f64 beta 2) (neg.f64 (pow.f64 alpha 2))) (*.f64 (-.f64 (/.f64 3 (pow.f64 alpha 2)) (/.f64 1 alpha)) (*.f64 -1 beta)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 3 (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 alpha)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (/.f64 3 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (-.f64 (+.f64 (/.f64 1 alpha) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (/.f64 2 (pow.f64 alpha 2))))
(+.f64 (*.f64 (-.f64 (/.f64 3 (pow.f64 alpha 2)) (/.f64 1 alpha)) (*.f64 -1 beta)) (+.f64 (/.f64 (pow.f64 beta 2) (neg.f64 (pow.f64 alpha 2))) (-.f64 (/.f64 1 alpha) (/.f64 2 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 3 (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 alpha)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (/.f64 3 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (-.f64 (+.f64 (/.f64 1 alpha) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (/.f64 2 (pow.f64 alpha 2))))
(+.f64 (*.f64 (-.f64 (/.f64 3 (pow.f64 alpha 2)) (/.f64 1 alpha)) (*.f64 -1 beta)) (+.f64 (/.f64 (pow.f64 beta 2) (neg.f64 (pow.f64 alpha 2))) (-.f64 (/.f64 1 alpha) (/.f64 2 (pow.f64 alpha 2)))))
(*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2)))
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 1 alpha))) (/.f64 beta alpha))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta))) (/.f64 1 alpha))) (/.f64 beta alpha))
(+.f64 (+.f64 (/.f64 1 alpha) (*.f64 beta (/.f64 2 alpha))) (-.f64 (*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 beta alpha)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 1 alpha))) (/.f64 beta alpha))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta))) (/.f64 1 alpha))) (/.f64 beta alpha))
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(/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (+.f64 beta 2) (neg.f64 (neg.f64 (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))))
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 -1 (/.f64 (neg.f64 (pow.f64 alpha 2)) (*.f64 (+.f64 beta 2) (-.f64 -1 beta))))
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta 2) (+.f64 beta 1))))
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)))
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (-.f64 -1 beta) (*.f64 (/.f64 -1 (-.f64 -2 beta)) (pow.f64 alpha 2)))
(/.f64 (-.f64 beta -2) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 2) (-.f64 beta -2)))
(/.f64 (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)) (/.f64 -1 (-.f64 -2 beta)))
(/.f64 (-.f64 beta -2) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 2) (-.f64 beta -2)))
(/.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) 1)
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 1 (/.f64 (pow.f64 alpha 2) (*.f64 (+.f64 beta 2) (-.f64 -1 beta))))
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 1 (*.f64 (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)) (/.f64 -1 (-.f64 -2 beta))))
(/.f64 (-.f64 beta -2) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 2) (-.f64 beta -2)))
(/.f64 1 (/.f64 (neg.f64 (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta))) (-.f64 -2 beta)))
(/.f64 (-.f64 beta -2) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 2) (-.f64 beta -2)))
(/.f64 1 (/.f64 -1 (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))))))
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (+.f64 beta 1) (/.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 beta 2)))
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (+.f64 beta 1) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (+.f64 beta 1) (*.f64 (neg.f64 (pow.f64 alpha 2)) (/.f64 -1 (-.f64 -2 beta))))
(/.f64 (-.f64 beta -2) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 2) (-.f64 beta -2)))
(/.f64 (+.f64 beta 1) (neg.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))))
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 -1 beta)) (pow.f64 alpha 2))
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (*.f64 (pow.f64 alpha 2) 2) (/.f64 -1 (-.f64 -2 beta))))
(/.f64 (-.f64 -2 (+.f64 beta beta)) (*.f64 (*.f64 2 (pow.f64 alpha 2)) (/.f64 1 (-.f64 beta -2))))
(*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 (-.f64 -2 beta) (*.f64 (pow.f64 alpha 2) -2)))
(/.f64 (*.f64 (+.f64 beta 2) (/.f64 1/2 (pow.f64 alpha 2))) (/.f64 1/2 (-.f64 -1 beta)))
(*.f64 (/.f64 1/2 (pow.f64 alpha 2)) (/.f64 (+.f64 2 beta) (/.f64 -1/2 (+.f64 1 beta))))
(/.f64 (-.f64 -1 beta) (/.f64 (/.f64 (pow.f64 alpha 2) 1) (+.f64 2 beta)))
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 1)) (neg.f64 (pow.f64 alpha 2)))
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (-.f64 -2 beta) (neg.f64 (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta))))
(/.f64 (-.f64 beta -2) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 2) (-.f64 beta -2)))
(/.f64 (-.f64 -2 beta) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta))))
(/.f64 (-.f64 beta -2) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 2) (-.f64 beta -2)))
(/.f64 (-.f64 -2 beta) (-.f64 (/.f64 0 (-.f64 -1 beta)) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta))))
(/.f64 (-.f64 beta -2) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 2) (-.f64 beta -2)))
(/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))) -1)
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 -1 (-.f64 -2 beta))))
(/.f64 (-.f64 beta -2) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 2) (-.f64 beta -2)))
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) (neg.f64 (/.f64 -1 (-.f64 -2 beta))))
(/.f64 (-.f64 beta -2) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 2) (-.f64 beta -2)))
(/.f64 (*.f64 (+.f64 beta 2) 2) (/.f64 (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)) 1/2))
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta beta))) (*.f64 (pow.f64 alpha 2) 2))
(/.f64 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 beta beta))) (pow.f64 alpha 2)) 2)
(*.f64 (+.f64 2 beta) (*.f64 (/.f64 -1/2 (pow.f64 alpha 2)) (+.f64 beta (-.f64 beta -2))))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta beta))) (/.f64 1 (/.f64 1/2 (pow.f64 alpha 2))))
(/.f64 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 beta beta))) (pow.f64 alpha 2)) 2)
(*.f64 (+.f64 2 beta) (*.f64 (/.f64 -1/2 (pow.f64 alpha 2)) (+.f64 beta (-.f64 beta -2))))
(/.f64 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (/.f64 -1 (+.f64 beta 1)))
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (/.f64 (-.f64 -2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta))) -1)
(/.f64 (-.f64 beta -2) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 2) (-.f64 beta -2)))
(/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) -1)
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) (/.f64 -1 (-.f64 -2 beta))) -1)
(/.f64 (-.f64 beta -2) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 2) (-.f64 beta -2)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 -1 beta)) (*.f64 (pow.f64 alpha 2) 2)) 1/2)
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 1)) (pow.f64 alpha 2)) -1)
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (*.f64 (-.f64 -2 (+.f64 beta beta)) (+.f64 beta 2)) (*.f64 (pow.f64 alpha 2) 2))
(/.f64 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 beta beta))) (pow.f64 alpha 2)) 2)
(*.f64 (+.f64 2 beta) (*.f64 (/.f64 -1/2 (pow.f64 alpha 2)) (+.f64 beta (-.f64 beta -2))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) (+.f64 beta 2)) -1)
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(/.f64 (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) -1)
(/.f64 (-.f64 beta -2) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 2) (-.f64 beta -2)))
(/.f64 (*.f64 1 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta beta)))) (*.f64 (pow.f64 alpha 2) 2))
(/.f64 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 beta beta))) (pow.f64 alpha 2)) 2)
(*.f64 (+.f64 2 beta) (*.f64 (/.f64 -1/2 (pow.f64 alpha 2)) (+.f64 beta (-.f64 beta -2))))
(/.f64 (*.f64 -1/2 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta beta)))) (neg.f64 (pow.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 2 beta) (*.f64 -1/2 (-.f64 -2 (+.f64 beta beta)))) (neg.f64 (pow.f64 alpha 2)))
(*.f64 (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 beta beta))) (/.f64 -1/2 (neg.f64 (pow.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 (-.f64 -1 beta) 0) (*.f64 (+.f64 beta 2) (-.f64 -1 beta))) (neg.f64 (pow.f64 alpha 2)))
(/.f64 (-.f64 (*.f64 (+.f64 2 beta) (-.f64 -1 beta)) (*.f64 (-.f64 -1 beta) 0)) (pow.f64 alpha 2))
(/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 1))) (pow.f64 alpha 2))
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))
(neg.f64 (neg.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2)))))
(/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))

eval1.4s (10%)

Compiler

Compiled 78155 to 53725 computations (31.3% saved)

prune1.2s (8.4%)

Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New237182379
Fresh189
Picked101
Done268
Total2375222397
Error
0b
Counts
2397 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
▶42.3b
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 alpha alpha) 2) beta) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)
▶11.2b
(/.f64 (-.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))) 1) (*.f64 -2 (*.f64 (/.f64 -2 (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)) 1/2))) 2)
✓31.6b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶32.9b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
17.6b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
45.9b
(/.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) 2)
✓14.7b
(/.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
50.9b
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))) 2)
15.2b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (neg.f64 (+.f64 alpha beta)) (*.f64 beta -2))) 1) 2)
45.9b
(/.f64 (+.f64 beta 1) alpha)
▶46.0b
(/.f64 1 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
✓31.8b
(/.f64 1 2)
51.3b
(-.f64 (/.f64 1 alpha) (/.f64 2 (pow.f64 alpha 2)))
51.7b
(-.f64 (-.f64 (/.f64 2 alpha) (/.f64 2 (pow.f64 alpha 2))) (/.f64 (+.f64 beta 1) alpha))
▶45.7b
(-.f64 1 (/.f64 1 beta))
✓15.2b
(-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))))
✓15.2b
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))
✓61.7b
(-.f64 1/2 1/2)
46.0b
(-.f64 -1 (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 2)))
48.8b
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 4)))))))
43.8b
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
40.8b
1
Compiler

Compiled 639 to 490 computations (23.3% saved)

localize116.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))
0.0b
(/.f64 beta (-.f64 -2 (+.f64 alpha beta)))
✓0.4b
(/.f64 -2 (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))
3.3b
(+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
Compiler

Compiled 189 to 110 computations (41.8% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
alpha
@inf
(/.f64 -2 (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))
0.0ms
alpha
@0
(/.f64 -2 (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))
0.0ms
beta
@0
(/.f64 -2 (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))
0.0ms
beta
@inf
(/.f64 -2 (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))
0.0ms
alpha
@-inf
(/.f64 -2 (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))

rewrite57.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1174×rational.json-simplify-11
1136×rational.json-simplify-25
930×rational.json-simplify-3
930×rational.json-simplify-34
920×rational.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
16925
235125
3229025
Stop Event
1×node limit
Counts
1 → 141
Calls
Call 1
Inputs
(/.f64 -2 (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 0 (-.f64 -2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 0 (/.f64 0 (-.f64 -2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 0 (*.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 0 (-.f64 0 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 0 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2))))) (/.f64 1/2 (/.f64 1/2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))) (*.f64 1 (/.f64 1/2 (/.f64 1/2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -2 beta) (*.f64 -2 beta)) (/.f64 1/2 (-.f64 -2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (/.f64 1/2 (-.f64 -2 (+.f64 alpha beta)))) (*.f64 1/2 (/.f64 1/2 (-.f64 -2 (+.f64 alpha beta))))) (*.f64 -4 (/.f64 1/2 (/.f64 1/2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 (+.f64 beta (+.f64 beta beta)) (+.f64 beta (+.f64 beta (+.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (*.f64 -2 beta) (*.f64 -2 beta))) (-.f64 0 (/.f64 1/2 (-.f64 -2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))))))

simplify109.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1598×rational.json-simplify-23
1326×rational.json-simplify-27
1254×rational.json-simplify-30
684×rational.json-simplify-39
594×rational.json-simplify-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03786287
113326053
250676045
Stop Event
1×node limit
Counts
165 → 239
Calls
Call 1
Inputs
(*.f64 2 (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))))))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 beta alpha)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 beta alpha))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 beta alpha)))))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 beta alpha)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 beta alpha))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 beta alpha)))))
(*.f64 2 (/.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 alpha))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 alpha))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 alpha))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 -2 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))))))
2
(+.f64 2 (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 2 (*.f64 -2 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 2 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)))))
2
(+.f64 2 (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 2 (*.f64 -2 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 2 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)))))
(+.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) 0)
(+.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 0 (-.f64 -2 (+.f64 alpha beta))))
(+.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 0 (/.f64 0 (-.f64 -2 (+.f64 alpha beta)))))
(+.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) 0))
(+.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 0 (*.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) 0)))
(+.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 0 (-.f64 0 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))))))
(+.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))) (/.f64 0 (-.f64 -2 (+.f64 alpha beta)))))
(+.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))) (-.f64 0 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))))))
(+.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))) (*.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) 0)))
(+.f64 0 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))) (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))
(+.f64 (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 0 (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))))
(+.f64 (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))) (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))))
(-.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) 0)
(-.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 0 (-.f64 -2 (+.f64 alpha beta))))
(-.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 beta beta))
(-.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) 0))
(-.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 0 (*.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) 0)))
(-.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))) (/.f64 0 (-.f64 -2 (+.f64 alpha beta)))))
(-.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (*.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) 0) (/.f64 0 (-.f64 -2 (+.f64 alpha beta)))))
(-.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))) (*.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) 0)))
(-.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (*.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) 0) (*.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) 0)))
(-.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 -4 (/.f64 0 (-.f64 -4 (/.f64 (+.f64 alpha beta) 1/2)))))
(-.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 -4 (/.f64 0 (+.f64 (/.f64 (+.f64 alpha beta) 1/2) 4))))
(-.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 (*.f64 -2 beta) 0))
(-.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 (*.f64 -2 beta) (*.f64 -2 beta)) 0))
(-.f64 0 (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))
(-.f64 0 (/.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) -1))
(-.f64 0 (*.f64 2 (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(-.f64 0 (*.f64 1 (/.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) -1)))
(-.f64 0 (*.f64 -1 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2))))))
(-.f64 0 (*.f64 4 (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (*.f64 -1 (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))) (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))
(-.f64 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (+.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (+.f64 (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (*.f64 1 (+.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(-.f64 (*.f64 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))) -1) (*.f64 -1 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (*.f64 (/.f64 (+.f64 beta beta) (-.f64 -2 (+.f64 alpha beta))) -2) (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (*.f64 (/.f64 0 (+.f64 (/.f64 (+.f64 alpha beta) 1/2) 4)) -4) (*.f64 -4 (/.f64 beta (+.f64 (/.f64 (+.f64 alpha beta) 1/2) 4))))
(-.f64 (*.f64 (+.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 1/2) (*.f64 1/2 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (*.f64 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))) 2) (*.f64 2 (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(-.f64 (*.f64 (+.f64 beta (+.f64 beta beta)) (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))) (*.f64 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) beta))
(-.f64 (*.f64 (/.f64 (+.f64 beta beta) 1/2) (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))) (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (*.f64 (+.f64 beta (+.f64 beta (+.f64 beta beta))) (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) (+.f64 beta (+.f64 beta beta))))
(*.f64 -2 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))
(*.f64 -2 (*.f64 1/2 (+.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))))
(*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2))))
(*.f64 beta (*.f64 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) 1)
(*.f64 1 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) -2)
(*.f64 (neg.f64 beta) (/.f64 -2 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (neg.f64 beta) (*.f64 -2 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (neg.f64 beta) (*.f64 1 (/.f64 -2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (neg.f64 beta) (*.f64 -4 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (neg.f64 beta) (*.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) -1))
(*.f64 (neg.f64 beta) (-.f64 0 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 -4 (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 1/2 (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 1/2 (*.f64 -2 (/.f64 (+.f64 beta beta) (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 1/2 (*.f64 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta beta) 1/2)))
(*.f64 1/2 (*.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) (+.f64 beta beta)))
(*.f64 1/2 (*.f64 (+.f64 (*.f64 -2 beta) (*.f64 -2 beta)) (/.f64 1 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) -4)
(*.f64 2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(*.f64 2 (-.f64 0 (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 2 (/.f64 1/2 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (*.f64 -2 beta))))
(*.f64 2 (*.f64 1 (-.f64 0 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))))
(*.f64 2 (*.f64 -2 (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 2 (*.f64 1 (/.f64 1/2 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (*.f64 -2 beta)))))
(*.f64 2 (*.f64 -4 (/.f64 1/2 (*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 2 beta)))))
(*.f64 2 (*.f64 (*.f64 -2 beta) (/.f64 1/2 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 2 (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 0 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 2 (-.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (/.f64 (+.f64 beta beta) (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 2 (-.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (+.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))))
(*.f64 2 (-.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 0 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))))
(*.f64 2 (-.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 2 (-.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 1/2 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (*.f64 -2 beta)))))
(*.f64 (*.f64 1/2 (/.f64 1/2 (-.f64 -2 (+.f64 alpha beta)))) (*.f64 -4 (+.f64 beta beta)))
(*.f64 (*.f64 1/2 (/.f64 1/2 (-.f64 -2 (+.f64 alpha beta)))) (*.f64 -4 (/.f64 1 (/.f64 1/2 beta))))
(*.f64 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 beta beta))
(*.f64 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 (/.f64 1/2 beta)))
(*.f64 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 1 (/.f64 1 (/.f64 1/2 beta))))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) (*.f64 -2 beta))
(*.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) beta)
(*.f64 -1 (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))
(*.f64 -1 (/.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) -1))
(*.f64 -1 (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 -1 (*.f64 -2 (-.f64 0 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))))
(*.f64 -1 (*.f64 -4 (/.f64 beta (+.f64 (/.f64 (+.f64 alpha beta) 1/2) 4))))
(*.f64 -1 (*.f64 -4 (-.f64 0 (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 -1 (*.f64 -4 (/.f64 1/2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))))
(*.f64 -1 (-.f64 (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (/.f64 0 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 -1 (-.f64 (+.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (+.f64 (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) -1)
(*.f64 -1/2 (*.f64 -4 (-.f64 0 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))))
(*.f64 -1/2 (*.f64 -4 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 -1/2 (-.f64 0 (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 -1/2 (-.f64 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))) (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 -1/2 (-.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (+.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (+.f64 beta beta) (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (*.f64 4 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1/2)
(*.f64 -8 (/.f64 1/2 (*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 2 beta))))
(*.f64 -8 (*.f64 1 (/.f64 1/2 (*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 2 beta)))))
(*.f64 -8 (-.f64 (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 1/2 (*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 2 beta)))))
(*.f64 (/.f64 1/2 (-.f64 -2 (+.f64 alpha beta))) (+.f64 (*.f64 -2 beta) (*.f64 -2 beta)))
(*.f64 (/.f64 1/2 (-.f64 -2 (+.f64 alpha beta))) (*.f64 -2 (+.f64 beta beta)))
(*.f64 4 (-.f64 0 (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 4 (/.f64 1/2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))
(*.f64 4 (*.f64 1 (-.f64 0 (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 4 (*.f64 1 (/.f64 1/2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))))
(*.f64 4 (-.f64 (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 4 (-.f64 (/.f64 0 (-.f64 -4 (/.f64 (+.f64 alpha beta) 1/2))) (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 4 (-.f64 (/.f64 0 (+.f64 (/.f64 (+.f64 alpha beta) 1/2) 4)) (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 4 (-.f64 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))) (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 4 (-.f64 (/.f64 beta (+.f64 (/.f64 (+.f64 alpha beta) 1/2) 4)) (/.f64 0 (+.f64 (/.f64 (+.f64 alpha beta) 1/2) 4))))
(*.f64 (neg.f64 (+.f64 beta beta)) (-.f64 0 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (neg.f64 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))) (-.f64 0 (+.f64 beta beta)))
(*.f64 (neg.f64 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))) (-.f64 beta (+.f64 beta (+.f64 beta beta))))
(*.f64 (neg.f64 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))) (-.f64 (+.f64 beta beta) (/.f64 (+.f64 beta beta) 1/2)))
(*.f64 (neg.f64 (*.f64 -2 beta)) (-.f64 0 (/.f64 1 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (+.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))) -1)
(*.f64 (*.f64 -2 beta) (/.f64 1 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (*.f64 -2 beta) (/.f64 1/2 (+.f64 (*.f64 (+.f64 alpha beta) -1/2) -1)))
(*.f64 (*.f64 -2 beta) (*.f64 -2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (*.f64 -2 beta) (*.f64 1 (/.f64 1/2 (+.f64 (*.f64 (+.f64 alpha beta) -1/2) -1))))
(*.f64 (*.f64 -2 beta) (*.f64 -4 (/.f64 1/2 (+.f64 (/.f64 (+.f64 alpha beta) 1/2) 4))))
(*.f64 (*.f64 -2 beta) (*.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) -1/2))
(*.f64 (+.f64 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))) (/.f64 1/2 (/.f64 1/2 beta)))
(*.f64 (+.f64 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))) (*.f64 1 (/.f64 1/2 (/.f64 1/2 beta))))
(*.f64 (+.f64 (*.f64 -2 beta) (*.f64 -2 beta)) (/.f64 1/2 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (+.f64 (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) -1/2)
(*.f64 (+.f64 (*.f64 1/2 (/.f64 1/2 (-.f64 -2 (+.f64 alpha beta)))) (*.f64 1/2 (/.f64 1/2 (-.f64 -2 (+.f64 alpha beta))))) (*.f64 -4 (/.f64 1/2 (/.f64 1/2 beta))))
(*.f64 (neg.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 beta))
(*.f64 (neg.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 (+.f64 beta (+.f64 beta beta)) (+.f64 beta (+.f64 beta (+.f64 beta beta)))))
(*.f64 (neg.f64 (+.f64 (*.f64 -2 beta) (*.f64 -2 beta))) (-.f64 0 (/.f64 1/2 (-.f64 -2 (+.f64 alpha beta)))))
(neg.f64 (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))
Outputs
(*.f64 2 (/.f64 beta (+.f64 beta 2)))
(/.f64 (*.f64 beta 2) (+.f64 2 beta))
(*.f64 2 (/.f64 beta (+.f64 2 beta)))
(/.f64 (+.f64 beta beta) (+.f64 2 beta))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 (*.f64 beta 2) (+.f64 2 beta)) (/.f64 (*.f64 (*.f64 beta alpha) -2) (pow.f64 (+.f64 2 beta) 2)))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 beta))) (*.f64 -2 (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))))
(+.f64 (/.f64 (+.f64 beta beta) (+.f64 2 beta)) (/.f64 -2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta alpha))))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 (*.f64 beta 2) (+.f64 2 beta)) (+.f64 (/.f64 (*.f64 (*.f64 beta alpha) -2) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (*.f64 (*.f64 beta (pow.f64 alpha 2)) 2) (pow.f64 (+.f64 2 beta) 3))))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 beta))) (+.f64 (*.f64 -2 (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))) (*.f64 2 (*.f64 beta (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3))))))
(+.f64 (/.f64 -2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta alpha))) (+.f64 (/.f64 (+.f64 beta beta) (+.f64 2 beta)) (*.f64 2 (*.f64 beta (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3))))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (/.f64 (*.f64 beta 2) (+.f64 2 beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 (*.f64 (*.f64 beta alpha) -2) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (*.f64 (*.f64 beta (pow.f64 alpha 2)) 2) (pow.f64 (+.f64 2 beta) 3)))))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 beta))) (+.f64 (*.f64 -2 (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (*.f64 -2 (*.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4)))) (*.f64 2 (*.f64 beta (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3)))))))
(+.f64 (/.f64 (+.f64 beta beta) (+.f64 2 beta)) (+.f64 (/.f64 -2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta alpha))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 4) -2)) (*.f64 2 (*.f64 beta (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3)))))))
(*.f64 2 (/.f64 beta alpha))
(/.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 beta alpha)))
(+.f64 (/.f64 2 (/.f64 alpha beta)) (*.f64 -2 (*.f64 (+.f64 2 beta) (/.f64 beta (pow.f64 alpha 2)))))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -2 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (+.f64 2 beta) (*.f64 -2 (/.f64 beta (pow.f64 alpha 2)))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 beta alpha))))
(+.f64 (*.f64 -2 (*.f64 (+.f64 2 beta) (/.f64 beta (pow.f64 alpha 2)))) (+.f64 (/.f64 2 (/.f64 alpha beta)) (/.f64 (*.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) 2) (pow.f64 alpha 3))))
(+.f64 (*.f64 -2 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))) (*.f64 2 (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3))))))
(+.f64 (*.f64 (+.f64 2 beta) (*.f64 -2 (/.f64 beta (pow.f64 alpha 2)))) (*.f64 2 (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3))))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 beta alpha)))))
(+.f64 (*.f64 -2 (*.f64 (+.f64 2 beta) (/.f64 beta (pow.f64 alpha 2)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 beta (pow.f64 alpha 4)))) (+.f64 (/.f64 2 (/.f64 alpha beta)) (/.f64 (*.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) 2) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -2 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3))))) (*.f64 -2 (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))))))
(+.f64 (*.f64 (+.f64 2 beta) (*.f64 -2 (/.f64 beta (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3))))) (*.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 -2 (/.f64 beta (pow.f64 alpha 4))))))
(*.f64 2 (/.f64 beta alpha))
(/.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 beta alpha)))
(+.f64 (/.f64 2 (/.f64 alpha beta)) (*.f64 -2 (*.f64 (+.f64 2 beta) (/.f64 beta (pow.f64 alpha 2)))))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -2 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (+.f64 2 beta) (*.f64 -2 (/.f64 beta (pow.f64 alpha 2)))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 beta alpha))))
(+.f64 (*.f64 -2 (*.f64 (+.f64 2 beta) (/.f64 beta (pow.f64 alpha 2)))) (+.f64 (/.f64 2 (/.f64 alpha beta)) (/.f64 (*.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) 2) (pow.f64 alpha 3))))
(+.f64 (*.f64 -2 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))) (*.f64 2 (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3))))))
(+.f64 (*.f64 (+.f64 2 beta) (*.f64 -2 (/.f64 beta (pow.f64 alpha 2)))) (*.f64 2 (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3))))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 beta alpha)))))
(+.f64 (*.f64 -2 (*.f64 (+.f64 2 beta) (/.f64 beta (pow.f64 alpha 2)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 beta (pow.f64 alpha 4)))) (+.f64 (/.f64 2 (/.f64 alpha beta)) (/.f64 (*.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) 2) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -2 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3))))) (*.f64 -2 (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))))))
(+.f64 (*.f64 (+.f64 2 beta) (*.f64 -2 (/.f64 beta (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3))))) (*.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 -2 (/.f64 beta (pow.f64 alpha 4))))))
(*.f64 2 (/.f64 beta (+.f64 2 alpha)))
(/.f64 (*.f64 beta 2) (+.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 alpha))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 (*.f64 beta 2) (+.f64 2 alpha)) (/.f64 (*.f64 (pow.f64 beta 2) -2) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 alpha))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
(+.f64 (/.f64 (*.f64 (pow.f64 beta 2) -2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (*.f64 beta 2) (+.f64 2 alpha)) (/.f64 (*.f64 (pow.f64 beta 3) 2) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 alpha))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 -2 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (/.f64 (*.f64 beta 2) (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 3) 2) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) -2) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 beta 4))))))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 alpha))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 -2 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (*.f64 -2 (pow.f64 beta 4)) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (+.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))))
2
(+.f64 2 (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) -2) beta))
(+.f64 2 (/.f64 (+.f64 2 alpha) (/.f64 beta -2)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 2 (*.f64 -2 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 2 alpha) -2) beta)))
(+.f64 (+.f64 2 (/.f64 (+.f64 2 alpha) (/.f64 beta -2))) (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (+.f64 (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)) (/.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 2 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)))))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) -2) beta) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 (+.f64 2 alpha) beta)))))
(+.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 (+.f64 2 alpha) beta))) (+.f64 (/.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) 2))
2
(+.f64 2 (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) -2) beta))
(+.f64 2 (/.f64 (+.f64 2 alpha) (/.f64 beta -2)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 2 (*.f64 -2 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 2 alpha) -2) beta)))
(+.f64 (+.f64 2 (/.f64 (+.f64 2 alpha) (/.f64 beta -2))) (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (+.f64 (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)) (/.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 2 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)))))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) -2) beta) (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))
(+.f64 2 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 (+.f64 2 alpha) beta)))))
(+.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 (+.f64 2 alpha) beta))) (+.f64 (/.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) 2))
(+.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) 0)
(/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 beta (/.f64 2 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha)))
(+.f64 (*.f64 beta (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (/.f64 0 (-.f64 -2 (+.f64 alpha beta))))
(+.f64 (/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha))) (/.f64 0 (-.f64 -2 (+.f64 beta alpha))))
(-.f64 (/.f64 0 (-.f64 -2 (+.f64 beta alpha))) (/.f64 beta (/.f64 (+.f64 2 (+.f64 beta alpha)) -2)))
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(*.f64 beta (/.f64 2 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha)))
(*.f64 4 (*.f64 1 (/.f64 1/2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))))
(/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 beta (/.f64 2 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha)))
(*.f64 4 (-.f64 (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(-.f64 (/.f64 -2 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta beta))) (/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha))))
(-.f64 (/.f64 beta (/.f64 (+.f64 2 (+.f64 beta alpha)) -2)) (/.f64 (*.f64 beta 4) (-.f64 -2 (+.f64 beta alpha))))
(-.f64 (/.f64 beta (/.f64 (+.f64 2 (+.f64 beta alpha)) -2)) (*.f64 -4 (/.f64 beta (+.f64 beta (-.f64 alpha -2)))))
(*.f64 4 (-.f64 (/.f64 0 (-.f64 -4 (/.f64 (+.f64 alpha beta) 1/2))) (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(+.f64 (/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha))) (/.f64 0 (-.f64 -2 (+.f64 beta alpha))))
(-.f64 (/.f64 0 (-.f64 -2 (+.f64 beta alpha))) (/.f64 beta (/.f64 (+.f64 2 (+.f64 beta alpha)) -2)))
(+.f64 (/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha))) (/.f64 0 (-.f64 -2 (+.f64 beta alpha))))
(*.f64 4 (-.f64 (/.f64 0 (+.f64 (/.f64 (+.f64 alpha beta) 1/2) 4)) (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(-.f64 (/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha))) (/.f64 0 (+.f64 4 (/.f64 (+.f64 beta alpha) 1/2))))
(-.f64 (*.f64 beta (/.f64 2 (+.f64 2 (+.f64 beta alpha)))) (/.f64 0 (+.f64 4 (/.f64 (+.f64 beta alpha) 1/2))))
(-.f64 (/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha))) (/.f64 0 (+.f64 4 (/.f64 (+.f64 beta alpha) 1/2))))
(*.f64 4 (-.f64 (/.f64 0 (-.f64 -2 (+.f64 alpha beta))) (*.f64 -1/2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(+.f64 (/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha))) (/.f64 0 (-.f64 -2 (+.f64 beta alpha))))
(-.f64 (/.f64 0 (-.f64 -2 (+.f64 beta alpha))) (/.f64 beta (/.f64 (+.f64 2 (+.f64 beta alpha)) -2)))
(+.f64 (/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha))) (/.f64 0 (-.f64 -2 (+.f64 beta alpha))))
(*.f64 4 (-.f64 (/.f64 beta (+.f64 (/.f64 (+.f64 alpha beta) 1/2) 4)) (/.f64 0 (+.f64 (/.f64 (+.f64 alpha beta) 1/2) 4))))
(*.f64 4 (/.f64 (-.f64 beta 0) (+.f64 4 (/.f64 (+.f64 beta alpha) 1/2))))
(*.f64 4 (/.f64 beta (+.f64 4 (/.f64 (+.f64 beta alpha) 1/2))))
(*.f64 (neg.f64 (+.f64 beta beta)) (-.f64 0 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 beta (/.f64 2 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (neg.f64 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))) (-.f64 0 (+.f64 beta beta)))
(/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 beta (/.f64 2 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (neg.f64 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))) (-.f64 beta (+.f64 beta (+.f64 beta beta))))
(/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 beta (/.f64 2 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (neg.f64 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))) (-.f64 (+.f64 beta beta) (/.f64 (+.f64 beta beta) 1/2)))
(/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 beta (/.f64 2 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (neg.f64 (*.f64 -2 beta)) (-.f64 0 (/.f64 1 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 2 (neg.f64 (/.f64 beta (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 2 (/.f64 (+.f64 beta (-.f64 alpha -2)) beta))
(*.f64 2 (/.f64 beta (+.f64 beta (-.f64 alpha -2))))
(*.f64 (+.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))) -1)
(*.f64 2 (neg.f64 (/.f64 beta (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 2 (/.f64 (+.f64 beta (-.f64 alpha -2)) beta))
(*.f64 2 (/.f64 beta (+.f64 beta (-.f64 alpha -2))))
(*.f64 (*.f64 -2 beta) (/.f64 1 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 2 (neg.f64 (/.f64 beta (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 2 (/.f64 (+.f64 beta (-.f64 alpha -2)) beta))
(*.f64 2 (/.f64 beta (+.f64 beta (-.f64 alpha -2))))
(*.f64 (*.f64 -2 beta) (/.f64 1/2 (+.f64 (*.f64 (+.f64 alpha beta) -1/2) -1)))
(/.f64 (*.f64 1/2 (*.f64 beta -2)) (+.f64 -1 (*.f64 (+.f64 beta alpha) -1/2)))
(/.f64 (neg.f64 beta) (+.f64 -1 (*.f64 (+.f64 beta alpha) -1/2)))
(/.f64 beta (-.f64 1 (*.f64 (+.f64 beta alpha) -1/2)))
(*.f64 (*.f64 -2 beta) (*.f64 -2 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 beta (/.f64 2 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (*.f64 -2 beta) (*.f64 1 (/.f64 1/2 (+.f64 (*.f64 (+.f64 alpha beta) -1/2) -1))))
(/.f64 (*.f64 1/2 (*.f64 beta -2)) (+.f64 -1 (*.f64 (+.f64 beta alpha) -1/2)))
(/.f64 (neg.f64 beta) (+.f64 -1 (*.f64 (+.f64 beta alpha) -1/2)))
(/.f64 beta (-.f64 1 (*.f64 (+.f64 beta alpha) -1/2)))
(*.f64 (*.f64 -2 beta) (*.f64 -4 (/.f64 1/2 (+.f64 (/.f64 (+.f64 alpha beta) 1/2) 4))))
(*.f64 4 (/.f64 (-.f64 beta 0) (+.f64 4 (/.f64 (+.f64 beta alpha) 1/2))))
(*.f64 4 (/.f64 beta (+.f64 4 (/.f64 (+.f64 beta alpha) 1/2))))
(*.f64 (*.f64 -2 beta) (*.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2))) -1/2))
(/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 beta (/.f64 2 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (+.f64 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))) (/.f64 1/2 (/.f64 1/2 beta)))
(/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 beta (/.f64 2 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (+.f64 (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (*.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 beta 2))))) (*.f64 1 (/.f64 1/2 (/.f64 1/2 beta))))
(/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 beta (/.f64 2 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (+.f64 (*.f64 -2 beta) (*.f64 -2 beta)) (/.f64 1/2 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 2 (neg.f64 (/.f64 beta (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 2 (/.f64 (+.f64 beta (-.f64 alpha -2)) beta))
(*.f64 2 (/.f64 beta (+.f64 beta (-.f64 alpha -2))))
(*.f64 (+.f64 (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) -1/2)
(/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 beta (/.f64 2 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (+.f64 (*.f64 1/2 (/.f64 1/2 (-.f64 -2 (+.f64 alpha beta)))) (*.f64 1/2 (/.f64 1/2 (-.f64 -2 (+.f64 alpha beta))))) (*.f64 -4 (/.f64 1/2 (/.f64 1/2 beta))))
(*.f64 2 (neg.f64 (/.f64 beta (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 2 (/.f64 (+.f64 beta (-.f64 alpha -2)) beta))
(*.f64 2 (/.f64 beta (+.f64 beta (-.f64 alpha -2))))
(*.f64 (neg.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 beta))
(/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 beta (/.f64 2 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (neg.f64 (/.f64 2 (+.f64 alpha (+.f64 beta 2)))) (-.f64 (+.f64 beta (+.f64 beta beta)) (+.f64 beta (+.f64 beta (+.f64 beta beta)))))
(/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 beta (/.f64 2 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha)))
(*.f64 (neg.f64 (+.f64 (*.f64 -2 beta) (*.f64 -2 beta))) (-.f64 0 (/.f64 1/2 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 2 (neg.f64 (/.f64 beta (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 2 (/.f64 (+.f64 beta (-.f64 alpha -2)) beta))
(*.f64 2 (/.f64 beta (+.f64 beta (-.f64 alpha -2))))
(neg.f64 (/.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))
(/.f64 (*.f64 2 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 beta (/.f64 2 (+.f64 2 (+.f64 beta alpha))))
(/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha)))

localize5.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize8.0ms (0.1%)

Compiler

Compiled 21 to 17 computations (19% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))
✓0.0b
(/.f64 (-.f64 -1 alpha) beta)
✓0.1b
(/.f64 1 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
✓0.4b
(/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)))
Compiler

Compiled 41 to 30 computations (26.8% saved)

series6.0ms (0%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
2.0ms
beta
@0
(/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)))
1.0ms
alpha
@0
(/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)))
0.0ms
alpha
@-inf
(/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)))
0.0ms
alpha
@-inf
(/.f64 1 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
0.0ms
alpha
@inf
(/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)))

rewrite120.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1332×rational.json-simplify-11
1032×rational.json-simplify-1
868×rational.json-1
868×rational.json-2
868×rational.json-4
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01182
18476
235876
3207476
Stop Event
1×node limit
Counts
4 → 352
Calls
Call 1
Inputs
(/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta)))
(/.f64 1 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
(/.f64 (-.f64 -1 alpha) beta)
(-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 0 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (+.f64 0 (/.f64 0 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 0 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (+.f64 0 (/.f64 0 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (+.f64 (/.f64 0 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 0 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (+.f64 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))) (+.f64 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -2 (/.f64 1/2 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1/2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 -2 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 -1/4 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (*.f64 1 (/.f64 -1/4 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (/.f64 (-.f64 -1 alpha) beta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2) (/.f64 (+.f64 alpha 1) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 0 (-.f64 (/.f64 (-.f64 -1 alpha) beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 alpha) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 (/.f64 0 beta) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 (/.f64 0 (/.f64 beta (-.f64 -1 alpha))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (/.f64 0 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (-.f64 0 (/.f64 0 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (/.f64 0 (/.f64 beta (-.f64 -1 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha beta) (+.f64 -1 (-.f64 0 (/.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha beta) (+.f64 0 (-.f64 0 (+.f64 (/.f64 -1 beta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha beta) (+.f64 0 (-.f64 (/.f64 0 beta) (+.f64 (/.f64 -1 beta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 1 (/.f64 (+.f64 alpha 1) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (+.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1 beta) 1) (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (-.f64 0 (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 alpha 1) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 -1 (/.f64 0 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta)) (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (+.f64 1 (/.f64 (+.f64 alpha 1) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2) (+.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4 (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4 (+.f64 0 (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 -1 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2) -1/2)))) (#(struct:change #<rule 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egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) 1/2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 1/2 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (/.f64 -1/4 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (/.f64 1/2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (/.f64 1/2 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 alpha 1) beta)) (+.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 0 beta) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1))))))

simplify137.0ms (1%)

Algorithm
1×egg-herbie
Rules
1630×rational.json-simplify-14
1570×rational.json-simplify-13
990×rational.json-simplify-9
888×rational.json-simplify-3
526×rational.json-simplify-5
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075814406
1258113476
Stop Event
1×node limit
Counts
448 → 615
Calls
Call 1
Inputs
(/.f64 1 (-.f64 1 (/.f64 1 beta)))
(+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (-.f64 1 (/.f64 1 beta)) 2))) (/.f64 1 (-.f64 1 (/.f64 1 beta))))
(+.f64 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 1 beta)) 2) beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 beta 2) (pow.f64 (-.f64 1 (/.f64 1 beta)) 3))) (/.f64 1 (-.f64 1 (/.f64 1 beta)))))
(+.f64 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 1 beta)) 2) beta)) (+.f64 (/.f64 1 (-.f64 1 (/.f64 1 beta))) (+.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 beta)) 3) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 beta 3) (pow.f64 (-.f64 1 (/.f64 1 beta)) 4))))))
(*.f64 -1 (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 beta)) (pow.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 1 beta)) 2) (pow.f64 beta 3)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 beta)) (pow.f64 beta 2)) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 1 beta)) 2) (pow.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 1 beta)) 3) (pow.f64 beta 4)) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 beta)) (pow.f64 beta 2)) (pow.f64 alpha 2))))))
(*.f64 -1 (/.f64 beta alpha))
(+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 beta) 1)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 beta alpha)))
(+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 beta) 1)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (-.f64 (/.f64 1 beta) 1) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 beta) 1)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (-.f64 (/.f64 1 beta) 1) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (pow.f64 beta 4) (pow.f64 (-.f64 (/.f64 1 beta) 1) 3)) (pow.f64 alpha 4)))))
(*.f64 -1 (/.f64 beta (+.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 alpha) 2))) (*.f64 -1 (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 alpha) 3))) (*.f64 -1 (/.f64 beta (+.f64 1 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 1 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 alpha) 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 1 alpha) 4))) (*.f64 -1 (/.f64 beta (+.f64 1 alpha))))))
1
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) 1)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 1 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 beta 3))))))
1
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) 1)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 1 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 beta 3))))))
(-.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (/.f64 1 beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (/.f64 1 beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (/.f64 1 beta))
(*.f64 -1 (/.f64 alpha beta))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (/.f64 1 beta))
(*.f64 -1 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (-.f64 (/.f64 1 beta) 1)))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (-.f64 (/.f64 1 beta) 1)))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (-.f64 (/.f64 1 beta) 1)))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(/.f64 -1 beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(*.f64 -1 (/.f64 alpha beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(*.f64 -1 (/.f64 alpha beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(-.f64 (/.f64 1 beta) 1)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
(/.f64 alpha beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
(/.f64 alpha beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
-1
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
-1
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)
(+.f64 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) 0)
(+.f64 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 0 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))
(+.f64 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (+.f64 0 (/.f64 0 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))))
(+.f64 0 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))
(+.f64 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))
(+.f64 (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))
(-.f64 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) 0)
(-.f64 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 0 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))
(-.f64 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (+.f64 0 (/.f64 0 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))))
(-.f64 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (+.f64 (/.f64 0 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 0 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))))
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(+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta)) (-.f64 0 (/.f64 -1 beta))))
(+.f64 (/.f64 (+.f64 alpha 1) beta) (*.f64 -2 (/.f64 (+.f64 alpha 1) beta)))
(+.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta)) (/.f64 0 beta)))
(+.f64 (/.f64 0 beta) (/.f64 (-.f64 -1 alpha) beta))
(+.f64 (/.f64 alpha (neg.f64 beta)) (/.f64 -1 beta))
(+.f64 (/.f64 alpha (neg.f64 beta)) (+.f64 (/.f64 -1 beta) (/.f64 0 beta)))
(+.f64 (/.f64 alpha (neg.f64 beta)) (-.f64 0 (/.f64 1 beta)))
(+.f64 (/.f64 alpha (neg.f64 beta)) (+.f64 0 (-.f64 0 (/.f64 1 beta))))
(+.f64 (/.f64 alpha (neg.f64 beta)) (+.f64 (/.f64 0 beta) (-.f64 0 (/.f64 1 beta))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta)) (/.f64 (+.f64 alpha 1) beta))
(+.f64 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta)) (+.f64 (/.f64 0 beta) (/.f64 (+.f64 alpha 1) beta)))
(+.f64 (/.f64 -2 beta) (-.f64 0 (/.f64 (+.f64 -1 alpha) beta)))
(+.f64 (/.f64 -2 beta) (+.f64 0 (-.f64 0 (/.f64 (+.f64 -1 alpha) beta))))
(+.f64 (/.f64 -2 beta) (+.f64 (/.f64 0 beta) (-.f64 0 (/.f64 (+.f64 -1 alpha) beta))))
(+.f64 (/.f64 -1/2 beta) (*.f64 (/.f64 1/2 beta) (-.f64 (-.f64 -1 alpha) alpha)))
(+.f64 (/.f64 -1/2 beta) (+.f64 0 (*.f64 (/.f64 1/2 beta) (-.f64 (-.f64 -1 alpha) alpha))))
(+.f64 (/.f64 -1/2 beta) (+.f64 (/.f64 0 beta) (*.f64 (/.f64 1/2 beta) (-.f64 (-.f64 -1 alpha) alpha))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) (+.f64 0 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) (+.f64 (/.f64 0 beta) (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta))))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) 0)
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 0 beta))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 0 (/.f64 beta (-.f64 -1 alpha))))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (*.f64 (-.f64 -1 alpha) 2) 0))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (/.f64 0 beta) (/.f64 0 beta)))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 0 (/.f64 0 (/.f64 beta (-.f64 -1 alpha)))))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 0 (*.f64 (*.f64 (-.f64 -1 alpha) 2) 0)))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (/.f64 0 beta) (/.f64 0 (/.f64 beta (-.f64 -1 alpha)))))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (/.f64 0 beta) (*.f64 (*.f64 (-.f64 -1 alpha) 2) 0)))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (/.f64 0 (/.f64 beta (-.f64 -1 alpha))) (/.f64 0 beta)))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (*.f64 (*.f64 (-.f64 -1 alpha) 2) 0) (/.f64 0 beta)))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (/.f64 0 (/.f64 beta (-.f64 -1 alpha))) (/.f64 0 (/.f64 beta (-.f64 -1 alpha)))))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (*.f64 (*.f64 (-.f64 -1 alpha) 2) 0) (/.f64 0 (/.f64 beta (-.f64 -1 alpha)))))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (/.f64 0 (/.f64 beta (-.f64 -1 alpha))) (*.f64 (*.f64 (-.f64 -1 alpha) 2) 0)))
(-.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (*.f64 (*.f64 (-.f64 -1 alpha) 2) 0) (*.f64 (*.f64 (-.f64 -1 alpha) 2) 0)))
(-.f64 0 (/.f64 (+.f64 alpha 1) beta))
(-.f64 (/.f64 -1 beta) (/.f64 alpha beta))
(-.f64 (/.f64 alpha beta) (/.f64 (-.f64 -1 (*.f64 (-.f64 -1 alpha) 2)) beta))
(-.f64 (/.f64 1 beta) (/.f64 (-.f64 alpha (+.f64 alpha (-.f64 alpha -2))) (neg.f64 beta)))
(-.f64 (/.f64 0 beta) (/.f64 (+.f64 alpha 1) beta))
(-.f64 (/.f64 alpha (neg.f64 beta)) (/.f64 1 beta))
(-.f64 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta)) (/.f64 (-.f64 -1 alpha) beta))
(-.f64 (/.f64 -2 beta) (/.f64 (+.f64 -1 alpha) beta))
(-.f64 (/.f64 (+.f64 -1 alpha) beta) (/.f64 (-.f64 -2 (*.f64 (-.f64 -1 alpha) 2)) beta))
(-.f64 (/.f64 (/.f64 alpha beta) -1/2) (/.f64 (-.f64 1 alpha) beta))
(-.f64 (/.f64 -4 beta) (/.f64 (+.f64 alpha -3) beta))
(-.f64 (/.f64 (-.f64 1 alpha) beta) (/.f64 2 beta))
(-.f64 (/.f64 (/.f64 (-.f64 alpha -2) (neg.f64 beta)) 2) (*.f64 alpha (/.f64 1/2 beta)))
(-.f64 (*.f64 (/.f64 1/2 beta) (+.f64 (neg.f64 alpha) -3)) (*.f64 (+.f64 -1 alpha) (/.f64 1/2 beta)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta)) (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (+.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))))
(-.f64 (+.f64 (/.f64 -2 beta) (/.f64 -2 beta)) (+.f64 (/.f64 -2 beta) (/.f64 (+.f64 -1 alpha) beta)))
(-.f64 (+.f64 (/.f64 alpha (neg.f64 beta)) (/.f64 alpha (neg.f64 beta))) (+.f64 (/.f64 1 beta) (/.f64 alpha (neg.f64 beta))))
(*.f64 -1 (/.f64 (+.f64 alpha 1) beta))
(*.f64 -1 (*.f64 (*.f64 (-.f64 -1 alpha) 2) (-.f64 0 (/.f64 1/2 beta))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 beta))
(*.f64 (-.f64 -1 alpha) (-.f64 0 (/.f64 -1 beta)))
(*.f64 (-.f64 -1 alpha) (-.f64 (/.f64 -1 beta) (/.f64 -2 beta)))
(*.f64 (/.f64 (-.f64 -1 alpha) beta) 1)
(*.f64 1 (/.f64 (-.f64 -1 alpha) beta))
(*.f64 (+.f64 alpha 1) (/.f64 -1 beta))
(*.f64 (+.f64 alpha 1) (-.f64 0 (/.f64 1 beta)))
(*.f64 (/.f64 -1 beta) (+.f64 alpha 1))
(*.f64 -2 (*.f64 (-.f64 -1 alpha) (/.f64 -1/2 beta)))
(*.f64 -2 (*.f64 (+.f64 alpha 1) (/.f64 1/2 beta)))
(*.f64 1/2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 1/2 (*.f64 -1 (/.f64 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta)) -1)))
(*.f64 1/2 (*.f64 (+.f64 alpha 1) (/.f64 -2 beta)))
(*.f64 2 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 2 (*.f64 (+.f64 alpha 1) (/.f64 -1/2 beta)))
(*.f64 2 (*.f64 (*.f64 (-.f64 -1 alpha) 2) (*.f64 1/2 (/.f64 1/2 beta))))
(*.f64 (*.f64 (-.f64 -1 alpha) 2) (/.f64 1/2 beta))
(*.f64 (/.f64 1/2 beta) (*.f64 (-.f64 -1 alpha) 2))
(*.f64 (/.f64 1/2 beta) (*.f64 -1 (/.f64 (*.f64 (-.f64 -1 alpha) 2) -1)))
(*.f64 (/.f64 1/2 beta) (*.f64 (+.f64 alpha 1) -2))
(*.f64 (/.f64 1/2 beta) (*.f64 1/2 (+.f64 (*.f64 (-.f64 -1 alpha) 2) (*.f64 (-.f64 -1 alpha) 2))))
(*.f64 -1/2 (*.f64 (*.f64 (-.f64 -1 alpha) 2) (/.f64 -1 beta)))
(*.f64 -1/2 (*.f64 (/.f64 1 beta) (-.f64 0 (*.f64 (-.f64 -1 alpha) 2))))
(*.f64 -1/2 (*.f64 (/.f64 1 beta) (-.f64 alpha (+.f64 (neg.f64 alpha) -2))))
(*.f64 -1/2 (*.f64 (/.f64 1 beta) (-.f64 alpha (+.f64 1 (+.f64 (neg.f64 alpha) -3)))))
(*.f64 (/.f64 1 beta) (-.f64 -1 alpha))
(*.f64 (/.f64 (+.f64 alpha 1) beta) -1)
(*.f64 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta)) 1/2)
(*.f64 (/.f64 -2 beta) (*.f64 (+.f64 alpha 1) 1/2))
(*.f64 (+.f64 alpha (-.f64 alpha -2)) (/.f64 -1/2 beta))
(*.f64 (/.f64 -1/2 beta) (+.f64 alpha (-.f64 alpha -2)))
(*.f64 (/.f64 -1/2 beta) (*.f64 -1 (*.f64 (-.f64 -1 alpha) 2)))
(*.f64 (/.f64 -1/2 beta) (*.f64 1 (+.f64 alpha (-.f64 alpha -2))))
(*.f64 (neg.f64 (*.f64 (-.f64 -1 alpha) 2)) (-.f64 0 (/.f64 1/2 beta)))
(*.f64 (neg.f64 (*.f64 (-.f64 -1 alpha) 2)) (*.f64 1 (-.f64 0 (/.f64 1/2 beta))))
(*.f64 (neg.f64 (/.f64 1/2 beta)) (-.f64 0 (*.f64 (-.f64 -1 alpha) 2)))
(*.f64 (neg.f64 (/.f64 1/2 beta)) (-.f64 alpha (+.f64 (neg.f64 alpha) -2)))
(*.f64 (neg.f64 (/.f64 1/2 beta)) (-.f64 alpha (+.f64 1 (+.f64 (neg.f64 alpha) -3))))
(*.f64 (neg.f64 (/.f64 1/2 beta)) (*.f64 1 (-.f64 0 (*.f64 (-.f64 -1 alpha) 2))))
(*.f64 (neg.f64 (/.f64 1/2 beta)) (*.f64 1 (-.f64 alpha (+.f64 (neg.f64 alpha) -2))))
(*.f64 (neg.f64 (/.f64 1/2 beta)) (*.f64 1 (-.f64 alpha (+.f64 1 (+.f64 (neg.f64 alpha) -3)))))
(*.f64 (-.f64 1 (neg.f64 alpha)) (/.f64 -1 beta))
(*.f64 (+.f64 (*.f64 (-.f64 -1 alpha) 2) (*.f64 (-.f64 -1 alpha) 2)) (*.f64 1/2 (/.f64 1/2 beta)))
(*.f64 (+.f64 (*.f64 (-.f64 -1 alpha) 2) (*.f64 (-.f64 -1 alpha) 2)) (*.f64 1 (*.f64 1/2 (/.f64 1/2 beta))))
(*.f64 (+.f64 (*.f64 (-.f64 -1 alpha) 2) (*.f64 (-.f64 -1 alpha) 2)) (*.f64 (/.f64 1/2 beta) 1/2))
(*.f64 (+.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta)) -1/2)
(neg.f64 (/.f64 (+.f64 alpha 1) beta))
(+.f64 -1 (/.f64 (+.f64 alpha 1) beta))
(+.f64 -1 (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (-.f64 (/.f64 (-.f64 -1 alpha) beta) -2)))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) 1))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (-.f64 (/.f64 0 beta) -1)))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (-.f64 (/.f64 0 (/.f64 beta (-.f64 -1 alpha))) -1)))
(+.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) 0)
(+.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) (-.f64 (-.f64 (/.f64 0 (/.f64 beta (-.f64 -1 alpha))) -1) 1))
(+.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) (+.f64 0 (-.f64 (-.f64 (/.f64 0 (/.f64 beta (-.f64 -1 alpha))) -1) 1)))
(+.f64 1 (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (/.f64 (-.f64 -1 alpha) beta)))
(+.f64 0 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))
(+.f64 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1) (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))))
(+.f64 (/.f64 -1 beta) (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (-.f64 (-.f64 -1 (/.f64 alpha beta)) -2)))
(+.f64 (/.f64 alpha beta) (-.f64 0 (+.f64 (/.f64 -1 beta) 1)))
(+.f64 (/.f64 alpha beta) (-.f64 (/.f64 0 beta) (+.f64 (/.f64 -1 beta) 1)))
(+.f64 (/.f64 alpha beta) (+.f64 -1 (/.f64 1 beta)))
(+.f64 (/.f64 alpha beta) (+.f64 -1 (-.f64 0 (/.f64 -1 beta))))
(+.f64 (/.f64 alpha beta) (+.f64 0 (-.f64 0 (+.f64 (/.f64 -1 beta) 1))))
(+.f64 (/.f64 alpha beta) (+.f64 0 (-.f64 (/.f64 0 beta) (+.f64 (/.f64 -1 beta) 1))))
(+.f64 -2 (+.f64 1 (/.f64 (+.f64 alpha 1) beta)))
(+.f64 (+.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) 2))
(+.f64 2 (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (+.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
(+.f64 (+.f64 (/.f64 -1 beta) 1) (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (-.f64 0 (/.f64 alpha beta))))
(+.f64 (/.f64 (+.f64 alpha 1) beta) -1)
(+.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 -1 (/.f64 0 beta)))
(+.f64 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta)) (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (+.f64 1 (/.f64 (+.f64 alpha 1) beta))))
(+.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2) (+.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta)))))
(+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1))
(+.f64 -4 (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) -3)))
(+.f64 -4 (+.f64 0 (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) -3))))
(*.f64 -1 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1))
(*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) 1)
(*.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1) -1)
(*.f64 -2 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) 1/2))
(*.f64 1/2 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))))
(*.f64 1/2 (*.f64 -1 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2)))
(*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) 1/2))
(*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) 1/2) -2)
(*.f64 -1/2 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2))
(*.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2) -1/2)
(*.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) 1/2)
(*.f64 4 (*.f64 -1 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -1/4)))
(/.f64 -1 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))
(/.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))) -2))
(/.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) 1)
(/.f64 1 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))
(/.f64 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1) -1)
(/.f64 -2 (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))
(/.f64 1/2 (/.f64 1/2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))
(/.f64 2 (/.f64 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) 1/2))
(/.f64 2 (*.f64 (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) -1))
(/.f64 2 (/.f64 (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) -1))
(/.f64 2 (/.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) 1/2)))
(/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) 1/2) -1/2)
(/.f64 -1/2 (/.f64 1/2 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1)))
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2) -2)
(/.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) 2)
(/.f64 -4 (/.f64 (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) 1/2))
(/.f64 1/4 (/.f64 -1/4 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1)))
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) 1/2) 1/2)
(/.f64 (/.f64 -2 (/.f64 1/2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))) -4)
(/.f64 (/.f64 -2 (/.f64 1/2 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1))) 4)
(/.f64 (*.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2) -1) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 alpha 1) beta)) (+.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta))) -1)
(/.f64 (-.f64 (/.f64 0 beta) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) 1/2)) 1/2)
(neg.f64 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1))
Outputs
(/.f64 1 (-.f64 1 (/.f64 1 beta)))
(/.f64 -1 (+.f64 (/.f64 1 beta) -1))
(+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (-.f64 1 (/.f64 1 beta)) 2))) (/.f64 1 (-.f64 1 (/.f64 1 beta))))
(+.f64 (/.f64 1 (-.f64 1 (/.f64 1 beta))) (/.f64 alpha (*.f64 beta (pow.f64 (-.f64 1 (/.f64 1 beta)) 2))))
(+.f64 (/.f64 -1 (+.f64 (/.f64 1 beta) -1)) (/.f64 (/.f64 alpha beta) (pow.f64 (-.f64 1 (/.f64 1 beta)) 2)))
(+.f64 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 1 beta)) 2) beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 beta 2) (pow.f64 (-.f64 1 (/.f64 1 beta)) 3))) (/.f64 1 (-.f64 1 (/.f64 1 beta)))))
(+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (-.f64 1 (/.f64 1 beta)) 2))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 1 beta))) (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 beta 2) (pow.f64 (-.f64 1 (/.f64 1 beta)) 3)))))
(+.f64 (/.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (pow.f64 (-.f64 1 (/.f64 1 beta)) 3)) (+.f64 (/.f64 -1 (+.f64 (/.f64 1 beta) -1)) (/.f64 (/.f64 alpha beta) (pow.f64 (-.f64 1 (/.f64 1 beta)) 2))))
(+.f64 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 1 beta)) 2) beta)) (+.f64 (/.f64 1 (-.f64 1 (/.f64 1 beta))) (+.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (-.f64 1 (/.f64 1 beta)) 3) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 beta 3) (pow.f64 (-.f64 1 (/.f64 1 beta)) 4))))))
(+.f64 (/.f64 1 (-.f64 1 (/.f64 1 beta))) (+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (-.f64 1 (/.f64 1 beta)) 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 beta 2) (pow.f64 (-.f64 1 (/.f64 1 beta)) 3))) (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 beta 3) (pow.f64 (-.f64 1 (/.f64 1 beta)) 4))))))
(+.f64 (/.f64 -1 (+.f64 (/.f64 1 beta) -1)) (+.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (-.f64 1 (/.f64 1 beta)) 2)) (+.f64 (/.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (pow.f64 (-.f64 1 (/.f64 1 beta)) 3)) (/.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (pow.f64 (-.f64 1 (/.f64 1 beta)) 4)))))
(*.f64 -1 (/.f64 beta alpha))
(/.f64 (neg.f64 beta) alpha)
(/.f64 beta (neg.f64 alpha))
(+.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 beta)) (pow.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (/.f64 (neg.f64 beta) alpha) (*.f64 -1 (*.f64 (pow.f64 beta 2) (/.f64 (-.f64 1 (/.f64 1 beta)) (pow.f64 alpha 2)))))
(+.f64 (/.f64 beta (neg.f64 alpha)) (/.f64 (*.f64 (-.f64 1 (/.f64 1 beta)) (pow.f64 beta 2)) (/.f64 (pow.f64 alpha 2) -1)))
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(+.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -1 (*.f64 (+.f64 1 alpha) (/.f64 -2 beta))))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -1 (*.f64 (/.f64 (+.f64 1 alpha) beta) -2)))
(+.f64 (/.f64 alpha beta) (-.f64 0 (+.f64 (/.f64 -1 beta) 1)))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(+.f64 (/.f64 alpha beta) (-.f64 (/.f64 0 beta) (+.f64 (/.f64 -1 beta) 1)))
(+.f64 (/.f64 alpha beta) (-.f64 (/.f64 0 beta) (+.f64 1 (/.f64 -1 beta))))
(-.f64 (/.f64 (+.f64 0 (+.f64 1 alpha)) beta) 1)
(+.f64 (/.f64 alpha beta) (+.f64 -1 (/.f64 1 beta)))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(+.f64 (/.f64 alpha beta) (+.f64 -1 (-.f64 0 (/.f64 -1 beta))))
(+.f64 (/.f64 alpha beta) (-.f64 -1 (/.f64 -1 beta)))
(-.f64 (+.f64 (/.f64 alpha beta) -1) (/.f64 -1 beta))
(+.f64 (/.f64 alpha beta) (+.f64 0 (-.f64 0 (+.f64 (/.f64 -1 beta) 1))))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(+.f64 (/.f64 alpha beta) (+.f64 0 (-.f64 (/.f64 0 beta) (+.f64 (/.f64 -1 beta) 1))))
(+.f64 (/.f64 alpha beta) (+.f64 (/.f64 0 beta) (neg.f64 (+.f64 1 (/.f64 -1 beta)))))
(+.f64 0 (-.f64 (/.f64 (+.f64 0 (+.f64 1 alpha)) beta) 1))
(+.f64 -2 (+.f64 1 (/.f64 (+.f64 alpha 1) beta)))
(+.f64 -2 (+.f64 1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (+.f64 -2 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 (+.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) 2))
(+.f64 (+.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (-.f64 0 (*.f64 (+.f64 1 alpha) (/.f64 -2 beta))))
(+.f64 (+.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (-.f64 0 (*.f64 (/.f64 (+.f64 1 alpha) beta) -2)))
(+.f64 2 (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (+.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
(+.f64 (+.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (-.f64 0 (*.f64 (+.f64 1 alpha) (/.f64 -2 beta))))
(+.f64 (+.f64 -1 (/.f64 (-.f64 -1 alpha) beta)) (-.f64 0 (*.f64 (/.f64 (+.f64 1 alpha) beta) -2)))
(+.f64 (+.f64 (/.f64 -1 beta) 1) (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (-.f64 0 (/.f64 alpha beta))))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -1 (*.f64 (+.f64 1 alpha) (/.f64 -2 beta))))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -1 (*.f64 (/.f64 (+.f64 1 alpha) beta) -2)))
(+.f64 (/.f64 (+.f64 alpha 1) beta) -1)
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(+.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 -1 (/.f64 0 beta)))
(+.f64 -1 (/.f64 (+.f64 0 (+.f64 1 alpha)) beta))
(+.f64 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta)) (+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (+.f64 1 (/.f64 (+.f64 alpha 1) beta))))
(+.f64 (-.f64 -2 (*.f64 (+.f64 1 alpha) (/.f64 -2 beta))) (+.f64 1 (+.f64 (/.f64 (+.f64 1 alpha) beta) (*.f64 (+.f64 1 alpha) (/.f64 -2 beta)))))
(+.f64 (-.f64 -2 (*.f64 (/.f64 (+.f64 1 alpha) beta) -2)) (+.f64 1 (+.f64 (/.f64 (+.f64 1 alpha) beta) (*.f64 (/.f64 (+.f64 1 alpha) beta) -2))))
(+.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2) (+.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta)))))
(+.f64 (+.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 -2 (-.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 1 alpha) beta)) -2) (*.f64 (+.f64 1 alpha) (/.f64 -2 beta)))))
(+.f64 (+.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 -2 (-.f64 (*.f64 2 (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) (*.f64 (/.f64 (+.f64 1 alpha) beta) -2))))
(+.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -1 (*.f64 (+.f64 1 alpha) (/.f64 -2 beta))))
(+.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 -1 (*.f64 (/.f64 (+.f64 1 alpha) beta) -2)))
(+.f64 -4 (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) -3)))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(+.f64 -4 (+.f64 0 (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) -3))))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) 1)
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1) -1)
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -2 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) 1/2))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 1/2 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 1/2 (*.f64 -1 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2)))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) 1/2))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) 1/2) -2)
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 -1/2 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2) -1/2)
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) 1/2)
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 4 (*.f64 -1 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -1/4)))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 -1 (/.f64 -1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))) -2))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) 1)
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 1 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1) -1)
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 -2 (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 1/2 (/.f64 1/2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 2 (/.f64 (/.f64 1 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) 1/2))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 2 (*.f64 (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) -1))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 2 (/.f64 (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) -1))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 2 (/.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) 1/2)))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) 1/2) -1/2)
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 -1/2 (/.f64 1/2 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1)))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2) -2)
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (-.f64 -2 (*.f64 -2 (/.f64 (+.f64 alpha 1) beta))) 2)
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 -4 (/.f64 (/.f64 -2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta))) 1/2))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 1/4 (/.f64 -1/4 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1)))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) 1/2) 1/2)
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (/.f64 -2 (/.f64 1/2 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)))) -4)
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (/.f64 -2 (/.f64 1/2 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1))) 4)
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (*.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 alpha 1) beta)) -2) -1) 2)
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 alpha 1) beta)) (+.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 alpha 1) beta))) -1)
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))
(/.f64 (-.f64 (/.f64 0 beta) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 alpha 1) beta)) 1/2)) 1/2)
(/.f64 (-.f64 (/.f64 0 beta) (+.f64 1/2 (*.f64 (/.f64 (+.f64 1 alpha) beta) -1/2))) 1/2)
(-.f64 (/.f64 0 beta) (/.f64 (+.f64 1/2 (/.f64 -1/2 (/.f64 beta (+.f64 1 alpha)))) 1/2))
(neg.f64 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 1))
(+.f64 -1 (/.f64 (+.f64 1 alpha) beta))

localize37.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 (/.f64 (+.f64 (-.f64 alpha alpha) 2) beta) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
0.0b
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
Compiler

Compiled 95 to 57 computations (40% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
alpha
@0
(-.f64 (*.f64 (/.f64 (+.f64 (-.f64 alpha alpha) 2) beta) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
0.0ms
beta
@inf
(-.f64 (*.f64 (/.f64 (+.f64 (-.f64 alpha alpha) 2) beta) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
0.0ms
alpha
@inf
(-.f64 (*.f64 (/.f64 (+.f64 (-.f64 alpha alpha) 2) beta) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
0.0ms
beta
@0
(-.f64 (*.f64 (/.f64 (+.f64 (-.f64 alpha alpha) 2) beta) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
0.0ms
alpha
@-inf
(-.f64 (*.f64 (/.f64 (+.f64 (-.f64 alpha alpha) 2) beta) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))

rewrite78.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1036×rational.json-simplify-25
978×rational.json-simplify-18
960×rational.json-1
960×rational.json-2
960×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01649
110349
239049
3226349
Stop Event
1×node limit
Counts
1 → 65
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 (+.f64 (-.f64 alpha alpha) 2) beta) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (-.f64 (/.f64 0 (/.f64 beta (-.f64 (-.f64 alpha alpha) 2))) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (-.f64 (/.f64 0 beta) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 0 (/.f64 1 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))))))))) (#(struct:change #<rule egg-rr> 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simplify87.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1634×rational.json-simplify-5
1520×rational.json-simplify-9
954×rational.json-simplify-1
780×rational.json-simplify-15
750×rational.json-simplify-7
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02546127
110095919
242675919
Stop Event
1×node limit
Counts
89 → 168
Calls
Call 1
Inputs
(-.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 -2 (/.f64 beta (+.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 beta))) (*.f64 -2 (/.f64 beta (+.f64 beta 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 beta)))) (*.f64 -2 (/.f64 beta (+.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 beta))))) (*.f64 -2 (/.f64 beta (+.f64 beta 2))))
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 beta alpha)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 beta alpha))))
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 beta alpha)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 beta alpha))))
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 alpha))) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 alpha))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 alpha))) (+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))))
2
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 2 (*.f64 -2 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 2 (+.f64 (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)) (*.f64 2 (/.f64 1 beta)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 2 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)) (*.f64 2 (/.f64 1 beta))))))
2
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 2 (*.f64 -2 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 2 (+.f64 (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)) (*.f64 2 (/.f64 1 beta)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 2 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)) (*.f64 2 (/.f64 1 beta))))))
(+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (-.f64 (/.f64 0 (/.f64 beta (-.f64 (-.f64 alpha alpha) 2))) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2)))))
(+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))))
(+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (-.f64 (/.f64 0 beta) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2)))))
(+.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 0)
(+.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 0 (/.f64 1 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))))))
(+.f64 0 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (*.f64 alpha (/.f64 0 beta)) (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (*.f64 alpha (/.f64 0 beta)) (+.f64 (/.f64 2 beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (*.f64 alpha (/.f64 0 beta)) (+.f64 0 (+.f64 (/.f64 2 beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))))))
(+.f64 (/.f64 2 beta) (-.f64 (*.f64 alpha (/.f64 0 beta)) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2)))))
(+.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (-.f64 0 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))))))
(+.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (-.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta)))))
(+.f64 (+.f64 (/.f64 2 beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 alpha (/.f64 0 beta)))
(+.f64 (-.f64 (/.f64 0 (/.f64 beta (-.f64 (-.f64 alpha alpha) 2))) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2)))) (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta))
(+.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta))
(+.f64 (*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 2) (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)))
(+.f64 (*.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) 2) (-.f64 0 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta)))))
(*.f64 1 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 1 (-.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2)))) (/.f64 (*.f64 beta -4) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 1 (-.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta))) (+.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2)))) (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2)))))))
(*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 1)
(*.f64 1/2 (*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 2))
(*.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) -1)
(*.f64 -1 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)))
(*.f64 -1 (-.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 -1 (-.f64 (-.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 2)) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2)))))
(*.f64 -1 (-.f64 (-.f64 (*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 2)) (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 -1 (-.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 2)) (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))))))
(*.f64 -1 (-.f64 (-.f64 0 (*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 2)) (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))))
(*.f64 -1 (-.f64 (-.f64 (*.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) 2) (*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 2)) (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta)))))
(*.f64 -1 (-.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta))) (+.f64 0 (*.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) 2))))
(*.f64 -1 (-.f64 (/.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) -1) (/.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2)))) -1)))
(*.f64 -1 (-.f64 (+.f64 (*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 2) (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))))) (+.f64 (*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 2))))
(*.f64 -1 (-.f64 (+.f64 (*.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) 2) (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta)))) (+.f64 (*.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) 2) (*.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) 2))))
(*.f64 -1/2 (-.f64 0 (*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 2)))
(*.f64 -1/2 (-.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))))))
(*.f64 -1/2 (-.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (+.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta))))
(*.f64 -1/2 (-.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2)))) (+.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)))))
(*.f64 -1/2 (-.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) (+.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 2))))
(*.f64 -1/2 (-.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta))) (+.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) 2))))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 2) 1/2)
(*.f64 (+.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))) -1/2)
(/.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 1 (/.f64 -1 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))))
(/.f64 1 (/.f64 -1 (-.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 1)
(/.f64 1/2 (/.f64 1 (*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) 2)))
(/.f64 1/2 (/.f64 -1 (+.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)))))
(/.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) -1)
(/.f64 -1 (/.f64 1 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))))
(/.f64 -1 (/.f64 -1 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) -1)
(/.f64 (*.f64 (+.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))) 1/2) -1)
(/.f64 (*.f64 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta)))) -1) -1)
(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (*.f64 (/.f64 (neg.f64 beta) (+.f64 alpha (+.f64 2 beta))) -2)) -1)
(/.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta)) (/.f64 (*.f64 beta -2) (+.f64 4 (/.f64 (+.f64 alpha beta) 1/2)))) 1/2)
(/.f64 (-.f64 (-.f64 0 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))) (-.f64 0 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2)))))) -1)
(/.f64 (-.f64 (-.f64 0 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))) (+.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))))) -1)
(/.f64 (-.f64 (-.f64 0 (*.f64 -2 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))) (+.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))) -1)
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (-.f64 0 (+.f64 (/.f64 (+.f64 alpha (-.f64 2 alpha)) beta) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2)))))) -1)
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (+.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))))) -1)
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (+.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))) -1)
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))) (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))) -1)
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))) (-.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))))) -1)
(neg.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)))
Outputs
(-.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 -2 (/.f64 beta (+.f64 beta 2))))
(-.f64 (/.f64 2 beta) (*.f64 -2 (/.f64 beta (+.f64 2 beta))))
(-.f64 (/.f64 2 beta) (/.f64 beta (/.f64 (+.f64 2 beta) -2)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 beta))) (*.f64 -2 (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (*.f64 beta alpha) -2) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (/.f64 2 beta) (*.f64 -2 (/.f64 beta (+.f64 2 beta)))))
(+.f64 (/.f64 2 beta) (-.f64 (*.f64 -2 (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))) (*.f64 -2 (/.f64 beta (+.f64 2 beta)))))
(+.f64 (/.f64 2 beta) (-.f64 (/.f64 beta (/.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) -2)) (/.f64 beta (/.f64 (+.f64 2 beta) -2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 beta)))) (*.f64 -2 (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 2 (*.f64 (pow.f64 alpha 2) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (+.f64 (/.f64 (*.f64 (*.f64 beta alpha) -2) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (/.f64 2 beta) (*.f64 -2 (/.f64 beta (+.f64 2 beta))))))
(+.f64 (*.f64 -2 (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (*.f64 2 (*.f64 beta (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3)))) (-.f64 (/.f64 2 beta) (*.f64 -2 (/.f64 beta (+.f64 2 beta))))))
(+.f64 (+.f64 (/.f64 2 beta) (-.f64 (/.f64 beta (/.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) -2)) (/.f64 beta (/.f64 (+.f64 2 beta) -2)))) (*.f64 2 (*.f64 beta (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3)))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (/.f64 1 beta))))) (*.f64 -2 (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 alpha 3) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 (*.f64 2 (*.f64 (pow.f64 alpha 2) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (+.f64 (/.f64 (*.f64 (*.f64 beta alpha) -2) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (/.f64 2 beta) (*.f64 -2 (/.f64 beta (+.f64 2 beta)))))))
(+.f64 (+.f64 (*.f64 -2 (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (*.f64 2 (*.f64 beta (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3)))) (-.f64 (/.f64 2 beta) (*.f64 -2 (/.f64 beta (+.f64 2 beta)))))) (*.f64 -2 (*.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 2 beta) (-.f64 (/.f64 beta (/.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) -2)) (/.f64 beta (/.f64 (+.f64 2 beta) -2)))) (*.f64 2 (*.f64 beta (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 beta) 3))))) (*.f64 -2 (*.f64 (pow.f64 alpha 3) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 beta alpha)))
(+.f64 (/.f64 2 beta) (*.f64 2 (/.f64 beta alpha)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 beta alpha))))
(+.f64 (/.f64 2 beta) (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (*.f64 beta (+.f64 2 beta)) -2) (pow.f64 alpha 2))))
(+.f64 (/.f64 2 beta) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -2 (/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) beta)))))
(+.f64 (+.f64 (/.f64 2 beta) (*.f64 2 (/.f64 beta alpha))) (*.f64 -2 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))))
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(+.f64 (/.f64 2 beta) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (*.f64 (*.f64 beta (+.f64 2 beta)) -2) (pow.f64 alpha 2)) (*.f64 2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))))))
(+.f64 (/.f64 2 beta) (+.f64 (*.f64 -2 (/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) beta))) (*.f64 2 (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))))))
(+.f64 (/.f64 2 beta) (+.f64 (*.f64 -2 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))) (*.f64 2 (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))))))
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 beta alpha)))
(+.f64 (/.f64 2 beta) (*.f64 2 (/.f64 beta alpha)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 beta alpha))))
(+.f64 (/.f64 2 beta) (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (*.f64 beta (+.f64 2 beta)) -2) (pow.f64 alpha 2))))
(+.f64 (/.f64 2 beta) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -2 (/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) beta)))))
(+.f64 (+.f64 (/.f64 2 beta) (*.f64 2 (/.f64 beta alpha))) (*.f64 -2 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))))
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
(+.f64 (/.f64 2 beta) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (*.f64 (*.f64 beta (+.f64 2 beta)) -2) (pow.f64 alpha 2)) (*.f64 2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))))))
(+.f64 (/.f64 2 beta) (+.f64 (*.f64 -2 (/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 2) beta))) (*.f64 2 (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))))))
(+.f64 (/.f64 2 beta) (+.f64 (*.f64 -2 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))) (*.f64 2 (+.f64 (/.f64 beta alpha) (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))))))
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 alpha))) (*.f64 2 (/.f64 1 beta)))
(+.f64 (/.f64 2 beta) (*.f64 2 (/.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 2 beta) (/.f64 2 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 alpha))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 2 beta) (/.f64 (*.f64 (pow.f64 beta 2) -2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 2 beta) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 2 beta) (+.f64 (/.f64 2 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 beta 2) (/.f64 (pow.f64 (+.f64 2 alpha) 2) -2))))
(+.f64 (*.f64 2 (/.f64 beta (+.f64 2 alpha))) (+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))))
(+.f64 (/.f64 2 beta) (+.f64 (*.f64 2 (/.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) -2) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 (pow.f64 beta 3) 2) (pow.f64 (+.f64 2 alpha) 3)))))
(+.f64 (/.f64 2 beta) (+.f64 (*.f64 2 (/.f64 beta (+.f64 2 alpha))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))))
(+.f64 (/.f64 2 beta) (+.f64 (/.f64 2 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (pow.f64 beta 2) (/.f64 (pow.f64 (+.f64 2 alpha) 2) -2)) (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))))
2
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 2 (*.f64 -2 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 2 (+.f64 (/.f64 2 beta) (*.f64 -2 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 2 (/.f64 (+.f64 2 (*.f64 -2 (+.f64 2 alpha))) beta))
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(-.f64 (neg.f64 (+.f64 (/.f64 (+.f64 2 (-.f64 alpha alpha)) beta) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 beta alpha) -2))))) (/.f64 (+.f64 (-.f64 (-.f64 alpha alpha) 2) (-.f64 (-.f64 alpha alpha) 2)) beta))
(-.f64 (/.f64 (+.f64 (-.f64 alpha alpha) (-.f64 (-.f64 (-.f64 alpha alpha) 2) 2)) (neg.f64 beta)) (+.f64 (/.f64 (+.f64 2 (-.f64 alpha alpha)) beta) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 beta alpha) -2)))))
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (+.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))))) -1)
(*.f64 1 (-.f64 (/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)))
(-.f64 (/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (+.f64 (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))) -1)
(*.f64 1 (-.f64 (/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)))
(-.f64 (/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))) (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))) -1)
(neg.f64 (+.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 beta alpha) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (-.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 beta alpha) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 beta alpha) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)))))
(+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 beta alpha) -2))) (-.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (+.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (+.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 beta alpha) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 beta alpha) -2)))))))
(-.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 beta alpha) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (+.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (+.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 beta alpha) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 beta alpha) -2))))))
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta))) (-.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (/.f64 (+.f64 beta beta) (+.f64 alpha (+.f64 2 beta))))) -1)
(neg.f64 (+.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 beta alpha) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (-.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 beta alpha) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (-.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha)))))))
(-.f64 (-.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha)))) (+.f64 (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta) (+.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 beta alpha) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) (/.f64 beta (+.f64 -1 (/.f64 (+.f64 beta alpha) -2))))))
(neg.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 alpha beta) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)))
(neg.f64 (+.f64 (/.f64 beta (+.f64 -1 (/.f64 (+.f64 beta alpha) -2))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)))
(+.f64 (/.f64 (-.f64 2 (-.f64 alpha alpha)) beta) (/.f64 (neg.f64 beta) (+.f64 -1 (/.f64 (+.f64 beta alpha) -2))))

eval1.1s (7.5%)

Compiler

Compiled 59708 to 41479 computations (30.5% saved)

prune678.0ms (4.7%)

Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New176521767
Fresh3811
Picked101
Done4610
Total1773161789
Error
0b
Counts
1789 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
42.3b
(/.f64 (-.f64 (/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) 2)
✓31.6b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓32.9b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
17.6b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
50.9b
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))) 2)
45.9b
(/.f64 (+.f64 beta 1) alpha)
39.6b
(/.f64 1 (-.f64 (/.f64 (+.f64 1 alpha) beta) -1))
✓31.8b
(/.f64 1 2)
51.3b
(-.f64 (/.f64 1 alpha) (/.f64 2 (pow.f64 alpha 2)))
51.7b
(-.f64 (-.f64 (/.f64 2 alpha) (/.f64 2 (pow.f64 alpha 2))) (/.f64 (+.f64 beta 1) alpha))
✓45.7b
(-.f64 1 (/.f64 1 beta))
✓15.2b
(-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))))
✓61.7b
(-.f64 1/2 1/2)
48.8b
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 4)))))))
43.8b
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
40.8b
1
Compiler

Compiled 229 to 178 computations (22.3% saved)

regimes124.0ms (0.9%)

Counts
37 → 2
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(/.f64 1 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(+.f64 1 (/.f64 (+.f64 1 alpha) (neg.f64 beta)))
(-.f64 1/2 (*.f64 (/.f64 1/2 beta) (-.f64 alpha beta)))
(/.f64 1 (-.f64 (/.f64 (+.f64 1 alpha) beta) -1))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(-.f64 -1 (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 2)))
(/.f64 1 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
(/.f64 (+.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) (neg.f64 beta))) 2)
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (neg.f64 (+.f64 alpha beta)) (*.f64 beta -2))) 1) 2)
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 alpha alpha) 2) beta) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)
(/.f64 (-.f64 (-.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1) (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)
(/.f64 (*.f64 -1/2 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))) 1) (*.f64 -2 (*.f64 (/.f64 -2 (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)) 1/2))) 2)
(-.f64 (/.f64 1 alpha) (/.f64 2 (pow.f64 alpha 2)))
(-.f64 (-.f64 (/.f64 2 alpha) (/.f64 2 (pow.f64 alpha 2))) (/.f64 (+.f64 beta 1) alpha))
(-.f64 (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) (/.f64 (+.f64 beta 1) alpha))
(+.f64 (/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) -1/2) alpha) (*.f64 1/2 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))) 2)
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 3))))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 beta 2) 3) (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) (pow.f64 alpha 4)))))))
Outputs
(-.f64 (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) (/.f64 (+.f64 beta 1) alpha))
(/.f64 (-.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)
Calls

5 calls:

53.0ms
alpha
20.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
17.0ms
beta
9.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
9.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
4.5b2alpha
11.2b1beta
0.1b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.1b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.1b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 652 to 453 computations (30.5% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999205
-0.9999999999989945
Compiler

Compiled 20 to 15 computations (25% saved)

regimes103.0ms (0.7%)

Counts
32 → 2
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(/.f64 1 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(+.f64 1 (/.f64 (+.f64 1 alpha) (neg.f64 beta)))
(-.f64 1/2 (*.f64 (/.f64 1/2 beta) (-.f64 alpha beta)))
(/.f64 1 (-.f64 (/.f64 (+.f64 1 alpha) beta) -1))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(-.f64 -1 (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 2)))
(/.f64 1 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
(/.f64 (+.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) (neg.f64 beta))) 2)
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (neg.f64 (+.f64 alpha beta)) (*.f64 beta -2))) 1) 2)
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 alpha alpha) 2) beta) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)
(/.f64 (-.f64 (-.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1) (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)
(/.f64 (*.f64 -1/2 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))) 1) (*.f64 -2 (*.f64 (/.f64 -2 (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)) 1/2))) 2)
(-.f64 (/.f64 1 alpha) (/.f64 2 (pow.f64 alpha 2)))
(-.f64 (-.f64 (/.f64 2 alpha) (/.f64 2 (pow.f64 alpha 2))) (/.f64 (+.f64 beta 1) alpha))
Outputs
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (-.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)
Calls

5 calls:

38.0ms
alpha
25.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
14.0ms
beta
8.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
4.5b2alpha
11.2b1beta
0.1b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.1b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.1b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 472 to 326 computations (30.9% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999205
-0.9999999999989945
Compiler

Compiled 20 to 15 computations (25% saved)

regimes92.0ms (0.6%)

Counts
27 → 2
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(/.f64 1 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(+.f64 1 (/.f64 (+.f64 1 alpha) (neg.f64 beta)))
(-.f64 1/2 (*.f64 (/.f64 1/2 beta) (-.f64 alpha beta)))
(/.f64 1 (-.f64 (/.f64 (+.f64 1 alpha) beta) -1))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(-.f64 -1 (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 2)))
(/.f64 1 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
(/.f64 (+.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) (neg.f64 beta))) 2)
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 beta beta) (+.f64 2 (+.f64 beta alpha))) (/.f64 (-.f64 (-.f64 alpha alpha) 2) beta)) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (-.f64 (neg.f64 (+.f64 alpha beta)) (*.f64 beta -2))) 1) 2)
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (-.f64 alpha alpha) 2) beta) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)
(/.f64 (-.f64 (-.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1) (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) 2)
(-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))))
Calls

5 calls:

32.0ms
alpha
23.0ms
beta
14.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
4.5b2alpha
11.2b2beta
0.3b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.3b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.3b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 349 to 243 computations (30.4% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.999999996870124
-0.9999947280105439
Compiler

Compiled 20 to 15 computations (25% saved)

regimes79.0ms (0.5%)

Counts
20 → 2
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(/.f64 1 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(+.f64 1 (/.f64 (+.f64 1 alpha) (neg.f64 beta)))
(-.f64 1/2 (*.f64 (/.f64 1/2 beta) (-.f64 alpha beta)))
(/.f64 1 (-.f64 (/.f64 (+.f64 1 alpha) beta) -1))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(-.f64 -1 (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 2)))
(/.f64 1 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
(/.f64 (+.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) (neg.f64 beta))) 2)
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))))
Outputs
(/.f64 (+.f64 beta 1) alpha)
(-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha))))
Calls

5 calls:

26.0ms
alpha
17.0ms
beta
12.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
4.5b2alpha
11.2b2beta
0.3b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.3b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.3b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 218 to 158 computations (27.5% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.999999996870124
-0.9999947280105439
Compiler

Compiled 20 to 15 computations (25% saved)

regimes70.0ms (0.5%)

Counts
19 → 2
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(/.f64 1 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(+.f64 1 (/.f64 (+.f64 1 alpha) (neg.f64 beta)))
(-.f64 1/2 (*.f64 (/.f64 1/2 beta) (-.f64 alpha beta)))
(/.f64 1 (-.f64 (/.f64 (+.f64 1 alpha) beta) -1))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(-.f64 -1 (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 2)))
(/.f64 1 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
(/.f64 (+.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) (neg.f64 beta))) 2)
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Outputs
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

5 calls:

25.0ms
alpha
17.0ms
beta
11.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
4.5b2alpha
11.2b2beta
0.4b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.4b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.4b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 203 to 149 computations (26.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.999999996870124
-0.9999947280105439
Compiler

Compiled 20 to 15 computations (25% saved)

regimes43.0ms (0.3%)

Counts
17 → 2
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(/.f64 1 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(+.f64 1 (/.f64 (+.f64 1 alpha) (neg.f64 beta)))
(-.f64 1/2 (*.f64 (/.f64 1/2 beta) (-.f64 alpha beta)))
(/.f64 1 (-.f64 (/.f64 (+.f64 1 alpha) beta) -1))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(-.f64 -1 (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 2)))
(/.f64 1 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
(/.f64 (+.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) (neg.f64 beta))) 2)
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))
Outputs
(-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta)))
(/.f64 (+.f64 beta 1) alpha)
Calls

2 calls:

23.0ms
alpha
15.0ms
beta
Results
ErrorSegmentsBranch
4.5b2alpha
11.2b2beta
Compiler

Compiled 138 to 105 computations (23.9% saved)

bsearch13.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
13.0ms
332198996524276.7
36130603925397950.0
Results
11.0ms112×body256valid
Compiler

Compiled 188 to 141 computations (25% saved)

regimes41.0ms (0.3%)

Counts
16 → 2
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(/.f64 1 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(+.f64 1 (/.f64 (+.f64 1 alpha) (neg.f64 beta)))
(-.f64 1/2 (*.f64 (/.f64 1/2 beta) (-.f64 alpha beta)))
(/.f64 1 (-.f64 (/.f64 (+.f64 1 alpha) beta) -1))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(-.f64 -1 (-.f64 0 (+.f64 (/.f64 (-.f64 -1 alpha) beta) 2)))
(/.f64 1 (/.f64 -1 (-.f64 -1 (/.f64 (-.f64 -1 alpha) beta))))
(/.f64 (+.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) (neg.f64 beta))) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (+.f64 beta 1) alpha)
Calls

2 calls:

22.0ms
alpha
15.0ms
beta
Results
ErrorSegmentsBranch
5.5b2alpha
11.8b2beta
Compiler

Compiled 125 to 97 computations (22.4% saved)

bsearch17.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
16.0ms
0.10712967762578611
379361.4294315209
Results
15.0ms144×body256valid
Compiler

Compiled 200 to 159 computations (20.5% saved)

regimes35.0ms (0.2%)

Counts
10 → 2
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(/.f64 1 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(+.f64 1 (/.f64 (+.f64 1 alpha) (neg.f64 beta)))
(-.f64 1/2 (*.f64 (/.f64 1/2 beta) (-.f64 alpha beta)))
(/.f64 1 (-.f64 (/.f64 (+.f64 1 alpha) beta) -1))
Outputs
(/.f64 1 2)
(/.f64 1 (-.f64 (/.f64 (+.f64 1 alpha) beta) -1))
Calls

2 calls:

21.0ms
alpha
11.0ms
beta
Results
ErrorSegmentsBranch
15.4b4alpha
12.8b2beta
Compiler

Compiled 64 to 49 computations (23.4% saved)

bsearch20.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
20.0ms
0.03594656643969109
12947701.119391436
Results
12.0ms114×body256valid
4.0ms17×body1024valid
2.0ms12×body512valid
0.0ms1×body2048valid
Compiler

Compiled 182 to 159 computations (12.6% saved)

regimes32.0ms (0.2%)

Counts
9 → 4
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(/.f64 1 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(+.f64 1 (/.f64 (+.f64 1 alpha) (neg.f64 beta)))
(-.f64 1/2 (*.f64 (/.f64 1/2 beta) (-.f64 alpha beta)))
Outputs
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
1
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (+.f64 beta 1) alpha)
Calls

2 calls:

19.0ms
alpha
10.0ms
beta
Results
ErrorSegmentsBranch
15.4b4alpha
18.3b2beta
Compiler

Compiled 55 to 42 computations (23.6% saved)

bsearch37.0ms (0.3%)

Algorithm
3×binary-search
Steps
TimeLeftRight
17.0ms
0.10712967762578611
379361.4294315209
4.0ms
3.327568113711199e-76
6.124508824251563e-65
16.0ms
2.603909949304014e-88
4.480703465122498e-83
Results
32.0ms320×body256valid
Compiler

Compiled 336 to 293 computations (12.8% saved)

regimes31.0ms (0.2%)

Counts
6 → 4
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(/.f64 1 2)
(-.f64 1 (/.f64 1 beta))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
Outputs
(/.f64 1 2)
1
(/.f64 1 2)
(/.f64 (+.f64 beta 1) alpha)
Calls

2 calls:

16.0ms
alpha
13.0ms
beta
Results
ErrorSegmentsBranch
15.8b4alpha
18.3b2beta
Compiler

Compiled 31 to 24 computations (22.6% saved)

bsearch45.0ms (0.3%)

Algorithm
3×binary-search
Steps
TimeLeftRight
16.0ms
0.10712967762578611
379361.4294315209
13.0ms
3.327568113711199e-76
6.124508824251563e-65
16.0ms
2.603909949304014e-88
4.480703465122498e-83
Results
41.0ms400×body256valid
Compiler

Compiled 306 to 283 computations (7.5% saved)

regimes21.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(/.f64 1 2)
(-.f64 1 (/.f64 1 beta))
Outputs
(/.f64 1 2)
(-.f64 1 (/.f64 1 beta))
Calls

2 calls:

14.0ms
alpha
7.0ms
beta
Results
ErrorSegmentsBranch
27.8b4alpha
18.3b2beta
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch20.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
20.0ms
0.03594656643969109
12947701.119391436
Results
11.0ms111×body256valid
6.0ms25×body1024valid
1.0ms8×body512valid
Compiler

Compiled 146 to 132 computations (9.6% saved)

regimes19.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
(/.f64 1 2)
Outputs
(/.f64 1 2)
1
Calls

2 calls:

11.0ms
alpha
7.0ms
beta
Results
ErrorSegmentsBranch
27.8b4alpha
18.4b2beta
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch20.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
20.0ms
0.03594656643969109
12947701.119391436
Results
10.0ms104×body256valid
7.0ms31×body1024valid
1.0ms8×body512valid
0.0ms1×body2048valid
Compiler

Compiled 110 to 105 computations (4.5% saved)

regimes7.0ms (0%)

Accuracy

Total -21.0b remaining (-51.5%)

Threshold costs -21.0b (-51.5%)

Counts
2 → 1
Calls
Call 1
Inputs
1
(-.f64 1/2 1/2)
Outputs
1
Calls

2 calls:

3.0ms
beta
3.0ms
alpha
Results
ErrorSegmentsBranch
40.8b1alpha
40.8b1beta
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify28.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106923
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199254731985/9007199254740992) (-.f64 (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (-.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199254731985/9007199254740992) (/.f64 (+.f64 beta 1) alpha) (/.f64 (-.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (+.f64 beta 1) alpha) (-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 1450000000000000) (-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta))) (/.f64 (+.f64 beta 1) alpha))
(if (<=.f64 alpha 310000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (+.f64 beta 1) alpha))
(if (<=.f64 beta 3422735716801577/9007199254740992) (/.f64 1 2) (/.f64 1 (-.f64 (/.f64 (+.f64 1 alpha) beta) -1)))
(if (<=.f64 alpha 6014939493153283/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 alpha 1018517988167243/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) 1 (if (<=.f64 alpha 2) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (+.f64 beta 1) alpha))))
(if (<=.f64 alpha 2255602309932481/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (/.f64 1 2) (if (<=.f64 alpha 6518515124270355/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) 1 (if (<=.f64 alpha 8106479329266893/1125899906842624) (/.f64 1 2) (/.f64 (+.f64 beta 1) alpha))))
(if (<=.f64 beta 2) (/.f64 1 2) (-.f64 1 (/.f64 1 beta)))
(if (<=.f64 beta 2) (/.f64 1 2) 1)
1
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199254731985/9007199254740992) (-.f64 (+.f64 (*.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (pow.f64 alpha 2))) (/.f64 (+.f64 beta (-.f64 beta -2)) alpha)) (/.f64 (+.f64 beta 1) alpha)) (/.f64 (-.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007199254731985/9007199254740992) (/.f64 (+.f64 beta 1) alpha) (/.f64 (-.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))) 1) (*.f64 -2 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (+.f64 beta 1) alpha) (-.f64 1/2 (/.f64 (-.f64 alpha (*.f64 1/2 (+.f64 beta alpha))) (+.f64 beta (+.f64 2 alpha)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503577109372359/4503599627370496) (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 1450000000000000) (-.f64 1/2 (*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 2))) (-.f64 alpha beta))) (/.f64 (+.f64 beta 1) alpha))
(if (<=.f64 alpha 310000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (+.f64 beta 1) alpha))
(if (<=.f64 beta 3422735716801577/9007199254740992) (/.f64 1 2) (/.f64 1 (-.f64 (/.f64 (+.f64 1 alpha) beta) -1)))
(if (<=.f64 beta 3422735716801577/9007199254740992) 1/2 (/.f64 1 (-.f64 (/.f64 (+.f64 1 alpha) beta) -1)))
(if (<=.f64 alpha 6014939493153283/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (if (<=.f64 alpha 1018517988167243/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) 1 (if (<=.f64 alpha 2) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (+.f64 beta 1) alpha))))
(if (<=.f64 alpha 2255602309932481/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (/.f64 1 2) (if (<=.f64 alpha 6518515124270355/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) 1 (if (<=.f64 alpha 8106479329266893/1125899906842624) (/.f64 1 2) (/.f64 (+.f64 beta 1) alpha))))
(if (<=.f64 alpha 2255602309932481/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) 1/2 (if (<=.f64 alpha 6518515124270355/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) 1 (if (<=.f64 alpha 8106479329266893/1125899906842624) 1/2 (/.f64 (+.f64 beta 1) alpha))))
(if (<=.f64 beta 2) (/.f64 1 2) (-.f64 1 (/.f64 1 beta)))
(if (<=.f64 beta 2) 1/2 (-.f64 1 (/.f64 1 beta)))
(if (<=.f64 beta 2) (/.f64 1 2) 1)
(if (<=.f64 beta 2) 1/2 1)
1
Compiler

Compiled 369 to 262 computations (29% saved)

soundness335.0ms (2.3%)

Algorithm
4×egg-herbie
Rules
1610×rational.json-simplify-13
1508×rational.json-simplify-11
1440×rational.json-simplify-11
1346×rational.json-simplify-13
1260×rational.json-simplify-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
13737
212637
370037
4584137
087622036
1361121598
01237
13737
212637
370037
4584137
081021731
1319621409
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 867 to 591 computations (31.8% saved)

end155.0ms (1.1%)

Compiler

Compiled 345 to 229 computations (33.6% saved)

Profiling

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