Details

Time bar (total: 2.9s)

analyze82.0ms (2.9%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%56.2%43.8%0
0%56.2%43.8%1
0%56.2%43.8%2
14%42.1%43.8%3
21.1%35.1%43.8%4
31.6%24.6%43.8%5
36.9%19.3%43.8%6
43%13.2%43.8%7
46.1%10.1%43.8%8
49.4%6.8%43.8%9
51%5.2%43.8%10
52.7%3.5%43.8%11
53.6%2.6%43.8%12
54.4%1.7%43.8%13
54.9%1.3%43.8%14
Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.5s (51.9%)

Results
749.0ms6138×body128valid
406.0ms1032×body1024valid
216.0ms650×body512valid
63.0ms328×body256valid
46.0ms108×body2048valid
Compiler

Compiled 44 to 32 computations (27.3% saved)

preprocess32.0ms (1.1%)

Algorithm
2×egg-herbie
Rules
954×fma-neg_binary64
549×div-sub_binary64
376×times-frac_binary64
249×cancel-sign-sub-inv_binary64
246×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01738
13938
26438
310938
420138
540434
685934
7206034
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 beta (+.f64 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) (fma.f64 2 (+.f64 beta alpha) 4)))
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 2 (+.f64 beta alpha) 4)))
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(-.f64 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2) -1/2)
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 2 (+.f64 beta alpha) 4)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify29.0ms (1%)

Algorithm
1×egg-herbie
Rules
434×cancel-sign-sub-inv_binary64
372×div-sub_binary64
343×sub-neg_binary64
331×fma-neg_binary64
292×fma-def_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01119
12319
24019
36719
411819
523817
644517
775317
8157217
9364317
Stop Event
1×node limit
Counts
1 → 2
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 alpha (+.f64 beta 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 2 alpha) beta)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1/2)
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4)))
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
17.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶17.1b
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
Compiler

Compiled 55 to 39 computations (29.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))
✓1.0b
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))

series15.0ms (0.5%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
alpha
@inf
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
2.0ms
beta
@inf
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
2.0ms
alpha
@0
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
1.0ms
beta
@0
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
1.0ms
alpha
@-inf
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))

rewrite73.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
408×fma-def_binary64
244×fma-neg_binary64
239×expm1-udef_binary64
239×log1p-udef_binary64
136×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
126131
2376331
Stop Event
1×node limit
Counts
2 → 106
Calls
Call 1
Inputs
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
(/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (-.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 2) (-.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 alpha (fma.f64 (+.f64 alpha beta) -2 -4))) (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))) (sqrt.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 2)) (/.f64 1 (-.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2) 1/4) (+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))) (-.f64 1/4 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3)) (fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 2) (-.f64 1/4 (/.f64 1/2 (/.f64 (fma.f64 (+.f64 alpha beta) -2 -4) (-.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 2)) (-.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3))) (neg.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 2))) (neg.f64 (-.f64 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(2) ((x log.f64 (exp.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) (neg.f64 (-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 alpha beta) (/.f64 1 (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 alpha (fma.f64 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simplify52.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
772×times-frac_binary64
643×fma-def_binary64
300×sub-neg_binary64
266×cancel-sign-sub-inv_binary64
156×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01762456
15692372
222632234
Stop Event
1×node limit
Counts
154 → 166
Calls
Call 1
Inputs
(+.f64 1/2 (/.f64 beta (+.f64 (*.f64 2 beta) 4)))
(-.f64 (+.f64 1/2 (/.f64 beta (+.f64 (*.f64 2 beta) 4))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))) (*.f64 4 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3)))))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 4 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3))) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))) (+.f64 (*.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 8 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 4))) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (+.f64 (*.f64 18 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (+.f64 (*.f64 20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (+.f64 (*.f64 18 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (+.f64 (*.f64 20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))))))
(-.f64 1/2 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 4 (*.f64 2 alpha))) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))))) (/.f64 alpha (+.f64 4 (*.f64 2 alpha))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (/.f64 beta (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 beta (+.f64 4 (*.f64 2 alpha))) (*.f64 8 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 4))))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))))))
1
(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1 (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))))))
1
(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1 (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))))))
(/.f64 beta (+.f64 (*.f64 2 beta) 4))
(-.f64 (/.f64 beta (+.f64 (*.f64 2 beta) 4)) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))
(-.f64 (+.f64 (/.f64 beta (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))) (*.f64 4 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3))))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))
(-.f64 (+.f64 (/.f64 beta (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 4 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3))) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))))) (+.f64 (*.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 8 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 4))) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))))
-1/2
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 1/2)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))
-1/2
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 1/2)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))
(*.f64 -1 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))))
(-.f64 (+.f64 (/.f64 beta (+.f64 4 (*.f64 2 alpha))) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)))) (/.f64 alpha (+.f64 4 (*.f64 2 alpha))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (/.f64 beta (+.f64 4 (*.f64 2 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 beta (+.f64 4 (*.f64 2 alpha))) (*.f64 8 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 4)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))))))
1/2
(-.f64 1/2 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))))))
1/2
(-.f64 1/2 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))))))
Outputs
(+.f64 1/2 (/.f64 beta (+.f64 (*.f64 2 beta) 4)))
(+.f64 1/2 (/.f64 beta (fma.f64 2 beta 4)))
(+.f64 1/2 (/.f64 beta (fma.f64 beta 2 4)))
(-.f64 (+.f64 1/2 (/.f64 beta (+.f64 (*.f64 2 beta) 4))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))
(-.f64 (-.f64 (+.f64 1/2 (/.f64 beta (fma.f64 2 beta 4))) (/.f64 alpha (fma.f64 2 beta 4))) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 beta 4) 2) alpha))))
(+.f64 1/2 (-.f64 (/.f64 beta (fma.f64 beta 2 4)) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4)))))
(-.f64 (+.f64 1/2 (/.f64 beta (fma.f64 beta 2 4))) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2))) (*.f64 4 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3)))))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (fma.f64 2 beta 4)) (fma.f64 2 (/.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 2 beta 4) 2)) (*.f64 4 (/.f64 (*.f64 beta (*.f64 alpha alpha)) (pow.f64 (fma.f64 2 beta 4) 3)))))) (+.f64 (/.f64 alpha (fma.f64 2 beta 4)) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 beta 4) 2) alpha)))))
(+.f64 (+.f64 1/2 (/.f64 beta (fma.f64 beta 2 4))) (-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) (/.f64 (*.f64 (*.f64 4 beta) (*.f64 alpha alpha)) (pow.f64 (fma.f64 beta 2 4) 3))) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4)))))
(+.f64 1/2 (-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) (fma.f64 4 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 3)) (*.f64 alpha alpha)) (/.f64 beta (fma.f64 beta 2 4)))) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 alpha (fma.f64 beta 2 4)))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 4 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3))) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))) (+.f64 (*.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (*.f64 2 beta) 4) 3))) (+.f64 (/.f64 alpha (+.f64 (*.f64 2 beta) 4)) (+.f64 (*.f64 8 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 (*.f64 2 beta) 4) 4))) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 (*.f64 2 beta) 4) 2)))))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 beta (fma.f64 2 beta 4)) (fma.f64 2 (/.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 2 beta 4) 2)) (*.f64 4 (/.f64 (*.f64 beta (*.f64 alpha alpha)) (pow.f64 (fma.f64 2 beta 4) 3)))))) (fma.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 2 beta 4) 3)) (+.f64 (/.f64 alpha (fma.f64 2 beta 4)) (fma.f64 8 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (fma.f64 2 beta 4) 4)) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 beta 4) 2) alpha)))))))
(+.f64 (+.f64 1/2 (/.f64 beta (fma.f64 beta 2 4))) (-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) (/.f64 (*.f64 (*.f64 4 beta) (*.f64 alpha alpha)) (pow.f64 (fma.f64 beta 2 4) 3))) (+.f64 (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (/.f64 (*.f64 beta 8) (/.f64 (pow.f64 (fma.f64 beta 2 4) 4) (pow.f64 alpha 3)))) (fma.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 beta 2 4) 3)) (/.f64 alpha (fma.f64 beta 2 4))))))
(-.f64 (+.f64 (fma.f64 4 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 3)) (*.f64 alpha alpha)) (/.f64 beta (fma.f64 beta 2 4))) (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) alpha)) 1/2)) (fma.f64 4 (pow.f64 (/.f64 alpha (fma.f64 beta 2 4)) 3) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 2)) alpha) (fma.f64 8 (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta 2 4) 4)) (pow.f64 alpha 3)) (/.f64 alpha (fma.f64 beta 2 4))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))
(+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)))))))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (*.f64 (*.f64 beta beta) 5) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 4 (pow.f64 alpha 3))))) (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))))
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (+.f64 (*.f64 18 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (+.f64 (*.f64 20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)))))))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 4)) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 18 (/.f64 (*.f64 beta beta) (pow.f64 alpha 4)) (fma.f64 20 (/.f64 beta (pow.f64 alpha 4)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))))))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (*.f64 (*.f64 beta beta) 5) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 18 (/.f64 (*.f64 beta beta) (pow.f64 alpha 4)) (fma.f64 20 (/.f64 beta (pow.f64 alpha 4)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))) (fma.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 4)))))))
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3)))) (pow.f64 (/.f64 beta alpha) 3))) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 18 (/.f64 beta (/.f64 (pow.f64 alpha 4) beta)) (fma.f64 20 (/.f64 beta (pow.f64 alpha 4)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))) (fma.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 4))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))
(+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)))))))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (*.f64 (*.f64 beta beta) 5) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 4 (pow.f64 alpha 3))))) (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))))
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (+.f64 (*.f64 18 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 4))) (+.f64 (*.f64 20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)))))))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 4)) (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 18 (/.f64 (*.f64 beta beta) (pow.f64 alpha 4)) (fma.f64 20 (/.f64 beta (pow.f64 alpha 4)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))))))))
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1
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1
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(/.f64 beta (+.f64 (*.f64 2 beta) 4))
(/.f64 beta (fma.f64 2 beta 4))
(/.f64 beta (fma.f64 beta 2 4))
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-1/2
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 1/2)
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(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3))))))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 1/2 (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (*.f64 (*.f64 beta beta) 5) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 4 (pow.f64 alpha 3)))) (+.f64 1/2 (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))))))
(+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (/.f64 -2 (*.f64 alpha alpha))) (+.f64 1/2 (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
-1/2
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 1/2)
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 beta alpha) 1/2))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 beta alpha) -1/2))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 1/2 (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))))
(+.f64 (/.f64 1 alpha) (-.f64 (-.f64 (/.f64 beta alpha) (/.f64 2 (*.f64 alpha alpha))) (+.f64 1/2 (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))))
(+.f64 (+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))) -1/2)
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3))))))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 1/2 (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (*.f64 (*.f64 beta beta) 5) (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (/.f64 4 (pow.f64 alpha 3)))) (+.f64 1/2 (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))))))
(+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (/.f64 -2 (*.f64 alpha alpha))) (+.f64 1/2 (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
(*.f64 -1 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))))
(neg.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))))
(/.f64 (neg.f64 alpha) (fma.f64 2 alpha 4))
(neg.f64 (/.f64 alpha (fma.f64 2 alpha 4)))
(-.f64 (+.f64 (/.f64 beta (+.f64 4 (*.f64 2 alpha))) (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)))) (/.f64 alpha (+.f64 4 (*.f64 2 alpha))))
(-.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2) alpha)) (/.f64 beta (+.f64 4 (*.f64 2 alpha)))) (/.f64 alpha (+.f64 4 (*.f64 2 alpha))))
(-.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) alpha)) (/.f64 beta (fma.f64 2 alpha 4))) (/.f64 alpha (fma.f64 2 alpha 4)))
(-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (/.f64 beta (fma.f64 2 alpha 4))) (/.f64 alpha (fma.f64 2 alpha 4)))
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (/.f64 beta (+.f64 4 (*.f64 2 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))))))
(-.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2) alpha)) (/.f64 beta (+.f64 4 (*.f64 2 alpha)))) (fma.f64 2 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))))))
(-.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) alpha)) (/.f64 beta (fma.f64 2 alpha 4))) (fma.f64 2 (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 2 alpha 4) 2)) (fma.f64 4 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) (*.f64 beta beta))) (/.f64 alpha (fma.f64 2 alpha 4)))))
(-.f64 (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (/.f64 beta (fma.f64 2 alpha 4))) (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (fma.f64 4 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) (*.f64 beta beta))) (/.f64 alpha (fma.f64 2 alpha 4)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 beta (+.f64 4 (*.f64 2 alpha))) (*.f64 8 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 4)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))))))
(-.f64 (fma.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3)) (+.f64 (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2) alpha)) (/.f64 beta (+.f64 4 (*.f64 2 alpha)))) (*.f64 8 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 4))))) (fma.f64 2 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (+.f64 (/.f64 alpha (+.f64 4 (*.f64 2 alpha))) (*.f64 4 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 3))))))
(-.f64 (fma.f64 4 (/.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 alpha 4) 3)) (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) alpha)) (fma.f64 8 (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 2 alpha 4) 4)) alpha) (/.f64 beta (fma.f64 2 alpha 4))))) (fma.f64 2 (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 2 alpha 4) 2)) (fma.f64 4 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) (*.f64 beta beta))) (/.f64 alpha (fma.f64 2 alpha 4)))))
(-.f64 (fma.f64 4 (pow.f64 (/.f64 beta (fma.f64 2 alpha 4)) 3) (fma.f64 2 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (fma.f64 8 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (fma.f64 2 alpha 4) 4)) (/.f64 beta (fma.f64 2 alpha 4))))) (fma.f64 2 (/.f64 beta (/.f64 (pow.f64 (fma.f64 2 alpha 4) 2) beta)) (fma.f64 4 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 2 alpha 4) 3) (*.f64 beta beta))) (/.f64 alpha (fma.f64 2 alpha 4)))))
1/2
(-.f64 1/2 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (-.f64 1/2 (/.f64 1 beta)) (/.f64 alpha beta))
(-.f64 (+.f64 1/2 (/.f64 -1 beta)) (/.f64 alpha beta))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) 1/2) (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta)))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(+.f64 (+.f64 1/2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (-.f64 (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))
(+.f64 (+.f64 1/2 (+.f64 (/.f64 2 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 3 beta))))) (-.f64 (/.f64 -1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))))))
(+.f64 1/2 (-.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta)))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 5 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))))))))
(+.f64 1/2 (-.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta)))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (fma.f64 5 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (/.f64 4 (pow.f64 beta 3)))))))))
(+.f64 1/2 (-.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 3 beta)))) (-.f64 (/.f64 -1 beta) (/.f64 alpha beta))) (+.f64 (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 5 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (/.f64 4 (pow.f64 beta 3)))) (pow.f64 (/.f64 alpha beta) 3))))
1/2
(-.f64 1/2 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (-.f64 1/2 (/.f64 1 beta)) (/.f64 alpha beta))
(-.f64 (+.f64 1/2 (/.f64 -1 beta)) (/.f64 alpha beta))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) 1/2) (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta)))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(+.f64 (+.f64 1/2 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (-.f64 (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))
(+.f64 (+.f64 1/2 (+.f64 (/.f64 2 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 3 beta))))) (-.f64 (/.f64 -1 beta) (/.f64 alpha beta)))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 3 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 8 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))))))
(+.f64 1/2 (-.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta)))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 1 beta) (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 5 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))))))))
(+.f64 1/2 (-.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (fma.f64 3 (/.f64 alpha (*.f64 beta beta)) (/.f64 2 (*.f64 beta beta)))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (fma.f64 5 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (/.f64 4 (pow.f64 beta 3)))))))))
(+.f64 1/2 (-.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 beta beta)) (*.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 3 beta)))) (-.f64 (/.f64 -1 beta) (/.f64 alpha beta))) (+.f64 (fma.f64 8 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 5 (/.f64 alpha (/.f64 (pow.f64 beta 3) alpha)) (/.f64 4 (pow.f64 beta 3)))) (pow.f64 (/.f64 alpha beta) 3))))

prune129.0ms (4.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1633166
Fresh000
Picked011
Done000
Total1634167
Error
0.0b
Counts
167 → 4
Alt Table
StatusErrorProgram
▶42.9b
(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
45.1b
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
✓17.1b
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
44.6b
(/.f64 (+.f64 beta 1) alpha)
Compiler

Compiled 5044 to 3292 computations (34.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.1%)

Counts
1 → 15
Calls

6 calls:

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

rewrite43.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
858×log1p-expm1-u_binary64
858×expm1-log1p-u_binary64
80×add-sqr-sqrt_binary64
77×*-un-lft-identity_binary64
77×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115510
2233610
Stop Event
1×node limit
Counts
1 → 54
Calls
Call 1
Inputs
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 beta -2) (/.f64 (-.f64 1 alpha) beta)) (/.f64 (pow.f64 (/.f64 alpha beta) 2) (/.f64 (-.f64 1 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (+.f64 alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) 2) (cbrt.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) (sqrt.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta (*.f64 beta alpha)) (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 beta -3) (pow.f64 (/.f64 alpha beta) 3)) (/.f64 1 (+.f64 (pow.f64 beta -2) (-.f64 (pow.f64 (/.f64 alpha beta) 2) (/.f64 alpha (*.f64 beta beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 beta -2) (pow.f64 (/.f64 alpha beta) 2)) (/.f64 1 (/.f64 (-.f64 1 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 beta beta) (+.f64 beta (*.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 beta -2) (-.f64 (pow.f64 (/.f64 alpha beta) 2) (/.f64 alpha (*.f64 beta beta)))) (+.f64 (pow.f64 beta -3) (pow.f64 (/.f64 alpha beta) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 1 alpha) beta) (-.f64 (pow.f64 beta -2) (pow.f64 (/.f64 alpha beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta (*.f64 beta alpha)) (*.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta -3) (pow.f64 (/.f64 alpha beta) 3)) (+.f64 (pow.f64 beta -2) (-.f64 (pow.f64 (/.f64 alpha beta) 2) (/.f64 alpha (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta -3) (pow.f64 (/.f64 alpha beta) 3)) (+.f64 (pow.f64 (/.f64 alpha beta) 2) (-.f64 (pow.f64 beta -2) (/.f64 alpha (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 beta -2) (pow.f64 (/.f64 alpha beta) 2)) (/.f64 (-.f64 1 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 beta (*.f64 beta alpha))) (neg.f64 (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 beta -3) (pow.f64 (/.f64 alpha beta) 3))) (neg.f64 (+.f64 (pow.f64 beta -2) (-.f64 (pow.f64 (/.f64 alpha beta) 2) (/.f64 alpha (*.f64 beta beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 beta -2) (pow.f64 (/.f64 alpha beta) 2))) (neg.f64 (/.f64 (-.f64 1 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 beta alpha) beta) (*.f64 beta (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 (neg.f64 beta) 1)) (*.f64 (neg.f64 beta) (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 beta) (*.f64 (neg.f64 beta) alpha)) (*.f64 (neg.f64 beta) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 beta) (*.f64 beta (neg.f64 alpha))) (*.f64 beta (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (neg.f64 beta)) (*.f64 (neg.f64 beta) (neg.f64 alpha))) (*.f64 (neg.f64 beta) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta (*.f64 (/.f64 beta alpha) 1)) (*.f64 (/.f64 beta alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (neg.f64 alpha) beta) (*.f64 (neg.f64 beta) 1)) (*.f64 (neg.f64 beta) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 beta) (*.f64 (/.f64 beta alpha) -1)) (*.f64 (/.f64 beta alpha) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 alpha (neg.f64 beta)) (*.f64 beta -1)) (*.f64 beta (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (neg.f64 alpha) (neg.f64 beta)) (*.f64 (neg.f64 beta) -1)) (*.f64 (neg.f64 beta) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 alpha beta) 2) (pow.f64 beta -2)) (-.f64 (/.f64 alpha beta) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 beta (*.f64 beta alpha)) beta) beta)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 beta) (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 alpha beta) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (/.f64 1 beta) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) (cbrt.f64 (/.f64 alpha beta)) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 beta -2)) (cbrt.f64 (/.f64 1 beta)) (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 alpha beta)) (sqrt.f64 (/.f64 alpha beta)) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 beta -1/2) (pow.f64 beta -1/2) (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta))))))))

simplify12.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0896
11196
Stop Event
1×saturated
Counts
69 → 57
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 1 beta)
(/.f64 alpha beta)
(/.f64 alpha beta)
Outputs
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 1 beta)
(/.f64 alpha beta)
(/.f64 alpha beta)

prune29.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New57057
Fresh022
Picked011
Done011
Total57461
Error
0.0b
Counts
61 → 4
Alt Table
StatusErrorProgram
✓42.9b
(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
45.1b
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
✓17.1b
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
▶44.6b
(/.f64 (+.f64 beta 1) alpha)
Compiler

Compiled 994 to 584 computations (41.2% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite35.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
692×pow1_binary64
645×log1p-expm1-u_binary64
645×expm1-log1p-u_binary64
644×add-log-exp_binary64
66×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
217287
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) alpha)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) alpha)) (sqrt.f64 (/.f64 (+.f64 beta 1) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta 1)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 1) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 1) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 beta 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 beta 1) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 beta 1) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) alpha)))))))

simplify8.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07102
110102
Stop Event
1×saturated
Counts
44 → 35
Calls
Call 1
Inputs
(/.f64 1 alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
Outputs
(/.f64 1 alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))

prune20.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New35035
Fresh011
Picked011
Done022
Total35439
Error
0.0b
Counts
39 → 4
Alt Table
StatusErrorProgram
✓42.9b
(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
▶45.1b
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
✓17.1b
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
✓44.6b
(/.f64 (+.f64 beta 1) alpha)
Compiler

Compiled 486 to 338 computations (30.5% saved)

localize26.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓5.0b
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
✓5.9b
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
✓7.6b
(+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))
✓8.1b
(+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))

series23.0ms (0.8%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
beta
@0
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
2.0ms
beta
@0
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
2.0ms
alpha
@0
(+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))
1.0ms
beta
@-inf
(+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))
1.0ms
beta
@-inf
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))

rewrite49.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
341×pow1_binary64
332×add-cbrt-cube_binary64
332×add-log-exp_binary64
332×log1p-expm1-u_binary64
332×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029158
1710158
Stop Event
1×node limit
Counts
4 → 45
Calls
Call 1
Inputs
(+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))
(+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
Outputs
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simplify86.0ms (3%)

Algorithm
1×egg-herbie
Rules
687×fma-neg_binary64
530×associate-+l+_binary64
468×fma-def_binary64
410×associate--l+_binary64
293×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0802990
12382955
28782710
343402708
Stop Event
1×node limit
Counts
141 → 95
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 alpha 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 3 (/.f64 beta (pow.f64 alpha 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 3 beta) (+.f64 2 (pow.f64 beta 2))) (pow.f64 alpha 2)))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 3 beta) (+.f64 2 (pow.f64 beta 2))) (pow.f64 alpha 2)))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(/.f64 4 (pow.f64 alpha 3))
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))
(*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))
(*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))
(/.f64 (+.f64 (*.f64 8 beta) (+.f64 4 (*.f64 5 (pow.f64 beta 2)))) (pow.f64 alpha 3))
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))
(/.f64 (+.f64 (*.f64 8 beta) (+.f64 4 (+.f64 (*.f64 5 (pow.f64 beta 2)) (pow.f64 beta 3)))) (pow.f64 alpha 3))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 3 (/.f64 beta (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
Outputs
(/.f64 -2 (pow.f64 alpha 2))
(/.f64 -2 (*.f64 alpha alpha))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 3 (/.f64 beta (pow.f64 alpha 2)))))
(neg.f64 (+.f64 (/.f64 2 (*.f64 alpha alpha)) (*.f64 3 (/.f64 beta (*.f64 alpha alpha)))))
(+.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta (*.f64 alpha alpha)) -3))
(fma.f64 (/.f64 beta (*.f64 alpha alpha)) -3 (/.f64 -2 (*.f64 alpha alpha)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(neg.f64 (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(-.f64 (/.f64 -2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta))))
(-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 3 alpha) (/.f64 beta alpha))))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))))
(+.f64 (/.f64 -2 (*.f64 alpha alpha)) (-.f64 (pow.f64 (/.f64 beta alpha) 3) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 3 alpha) (/.f64 beta alpha)))))
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))
(pow.f64 (/.f64 beta alpha) 3)
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))
(-.f64 (pow.f64 (/.f64 beta alpha) 3) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta))))
(-.f64 (pow.f64 (/.f64 beta alpha) 3) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 3 alpha) (/.f64 beta alpha))))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))))
(+.f64 (/.f64 -2 (*.f64 alpha alpha)) (-.f64 (pow.f64 (/.f64 beta alpha) 3) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 3 alpha) (/.f64 beta alpha)))))
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))
(pow.f64 (/.f64 beta alpha) 3)
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))
(-.f64 (pow.f64 (/.f64 beta alpha) 3) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))
(-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
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(+.f64 (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta))))))
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)) (/.f64 beta alpha))) (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 3 alpha) (/.f64 beta alpha)))))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 alpha)) (+.f64 (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)))))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))))))
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)) (/.f64 beta alpha))) (/.f64 1 alpha)) (+.f64 (/.f64 -2 (*.f64 alpha alpha)) (-.f64 (pow.f64 (/.f64 beta alpha) 3) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 3 alpha) (/.f64 beta alpha)))))))
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))
(pow.f64 (/.f64 beta alpha) 3)
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3))) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(-.f64 (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))
(+.f64 (pow.f64 (/.f64 beta alpha) 3) (*.f64 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (+.f64 (/.f64 5 alpha) -1)))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3))))) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (-.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)))) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta))))))
(+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)) (/.f64 beta alpha))) (-.f64 (pow.f64 (/.f64 beta alpha) 3) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 3 alpha) (/.f64 beta alpha)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 alpha)) (+.f64 (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)))))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))))))
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)) (/.f64 beta alpha))) (/.f64 1 alpha)) (+.f64 (/.f64 -2 (*.f64 alpha alpha)) (-.f64 (pow.f64 (/.f64 beta alpha) 3) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 3 alpha) (/.f64 beta alpha)))))))
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))
(pow.f64 (/.f64 beta alpha) 3)
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3))) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(-.f64 (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))
(+.f64 (pow.f64 (/.f64 beta alpha) 3) (*.f64 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (+.f64 (/.f64 5 alpha) -1)))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3))))) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (-.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)))) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta))))))
(+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)) (/.f64 beta alpha))) (-.f64 (pow.f64 (/.f64 beta alpha) 3) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 3 alpha) (/.f64 beta alpha)))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (/.f64 1 alpha) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 5 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 3 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 alpha)) (+.f64 (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (*.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)))))) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (fma.f64 3 (/.f64 beta (*.f64 alpha alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) beta)))))))
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (fma.f64 5 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)) (/.f64 beta alpha))) (/.f64 1 alpha)) (+.f64 (/.f64 -2 (*.f64 alpha alpha)) (-.f64 (pow.f64 (/.f64 beta alpha) 3) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 3 alpha) (/.f64 beta alpha)))))))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))
(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
(/.f64 beta (/.f64 (pow.f64 alpha 3) beta))

prune115.0ms (4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New94195
Fresh000
Picked011
Done033
Total94599
Error
0b
Counts
99 → 5
Alt Table
StatusErrorProgram
45.2b
(*.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 3) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))) (+.f64 (+.f64 (/.f64 1 alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha))) (fma.f64 5 (*.f64 beta (/.f64 beta (pow.f64 alpha 3))) (/.f64 4 (pow.f64 alpha 3)))))) (sqrt.f64 (+.f64 (-.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 3) (/.f64 -2 (*.f64 alpha alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))) (+.f64 (+.f64 (/.f64 1 alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha))) (fma.f64 5 (*.f64 beta (/.f64 beta (pow.f64 alpha 3))) (/.f64 4 (pow.f64 alpha 3)))))))
✓42.9b
(-.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
✓45.1b
(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
✓17.1b
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
✓44.6b
(/.f64 (+.f64 beta 1) alpha)
Compiler

Compiled 5749 to 3425 computations (40.4% saved)

regimes344.0ms (11.9%)

Accuracy

Total 0.1b remaining (78.2%)

Threshold costs 0.1b (78.2%)

Counts
58 → 2
Compiler

Compiled 1778 to 1105 computations (37.9% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Calls

1 calls:

0.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Steps
ItersPointRange
-0.5
∈ [
-0.9999996317878727
, 
-0.000931884976658277
]
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
17×+-commutative_binary64
9×sub-neg_binary64
7×*-commutative_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041100
161100
279100
392100
4105100
5108100
6109100
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))) (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))))
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1/2) (+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))) (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))) (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1/2) (+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 beta alpha) (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (+.f64 (/.f64 -2 (*.f64 alpha alpha)) (*.f64 (/.f64 beta alpha) (-.f64 (/.f64 -3 alpha) (/.f64 beta alpha)))))) (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))))

end150.0ms (5.2%)

Stop Event
1×fuel
Compiler

Compiled 338 to 210 computations (37.9% saved)

Profiling

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