Details

Time bar (total: 7.3s)

analyze903.0ms (12.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%95.2%4.8%7
6.2%88.2%5.6%8
10.1%80.4%9.5%9
15.2%72.2%12.6%10
22.2%62.5%15.3%11
29.1%52.5%18.5%12
33.9%45.7%20.4%13
38.9%38.6%22.5%14
Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.2s (30.1%)

Results
806.0ms5394×body128valid
566.0ms1153×body2048valid
296.0ms747×body1024valid
229.0ms385×body4096valid
127.0ms1064×body128invalid
119.0ms377×body512valid
44.0ms200×body256valid

preprocess46.0ms (0.6%)

Algorithm
egg-herbie
Rules
508×times-frac_binary64
390×div-sub_binary64
354×fma-def_binary64
351×fma-neg_binary64
312×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03080
16572
211272
322272
436572
562072
6105772
7176872
8402572
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b_2 c)))) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 a b_2)))) a)
Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) a)
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b_2 c)))) b_2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b_2 c))) a) b_2)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 (neg.f64 c) (*.f64 a a))) a) b_2)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a)))) c)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) c)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) c)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2) c)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 a b_2)))) a)
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b_2 a)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b_2 a))) c) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 (neg.f64 a) (*.f64 c c))) c) a)
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify65.0ms (0.9%)

Algorithm
egg-herbie
Rules
808×fma-neg_binary64
361×div-sub_binary64
341×fma-def_binary64
313×associate-/l*_binary64
224×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01120
12318
24218
37718
412318
521818
637018
758618
894818
9147118
10200018
11322018
12409518
13442718
14443518
15444318
16446918
17448518
18452118
19455318
20456518
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)

eval1.0ms (0%)

Compiler

Compiled 28 to 12 computations (57.1% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
37.8b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
37.8b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
Compiler

Compiled 30 to 18 computations (40% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
0.5b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
1.2b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
27.9b
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

series27.0ms (0.4%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
2.0ms
b_2
@-inf
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
2.0ms
a
@-inf
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
1.0ms
c
@inf
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
1.0ms
a
@inf
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
1.0ms
b_2
@0
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

rewrite104.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
700×fma-def_binary64
338×fma-neg_binary64
216×expm1-udef_binary64
216×log1p-udef_binary64
159×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01055
123955
2365355
Stop Event
node limit
Counts
4 → 313
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (sqrt.f64 (fma.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (*.f64 a c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (neg.f64 (*.f64 a c)) 1 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a c))) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (+.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) (fma.f64 a (neg.f64 c) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 a c)) (*.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2)) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b_2 (sqrt.f64 (*.f64 a c))) (-.f64 b_2 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)) (pow.f64 b_2 4)) (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3)) (fma.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)) (pow.f64 b_2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) (fma.f64 b_2 b_2 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (neg.f64 (fma.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b_2 6) (pow.f64 (neg.f64 (*.f64 a c)) 3)) (+.f64 (pow.f64 b_2 4) (-.f64 (*.f64 (neg.f64 (*.f64 a c)) (neg.f64 (*.f64 a c))) (*.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3) (pow.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2) (-.f64 (*.f64 (fma.f64 a (neg.f64 c) (*.f64 a c)) (fma.f64 a (neg.f64 c) (*.f64 a c))) (*.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 a (neg.f64 c) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b_2 4) (*.f64 (neg.f64 (*.f64 a c)) (neg.f64 (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2) (*.f64 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(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (*.f64 a a))) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 a)) 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a c)) 1/4) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (sqrt.f64 a)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (sqrt.f64 a)) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (sqrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)))))))

simplify58.0ms (0.8%)

Algorithm
egg-herbie
Rules
706×fma-def_binary64
680×associate-/l*_binary64
544×associate-/r*_binary64
324×associate-*l/_binary64
164×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01582316
15062235
217382145
Stop Event
node limit
Counts
409 → 394
Calls
Call 1
Inputs
(sqrt.f64 (neg.f64 (*.f64 c a)))
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a)))))))
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))) (*.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 5))))))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -1 b_2)
(+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -1 (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(*.f64 -1 (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(*.f64 -1 (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(*.f64 -1 (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(*.f64 -1 (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(sqrt.f64 (neg.f64 (*.f64 c a)))
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (*.f64 -1 b_2))
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a)))))))
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 4)) b_2)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3) a))) (+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) (*.f64 a b_2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
Outputs
(sqrt.f64 (neg.f64 (*.f64 c a)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))))
(+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (*.f64 1/2 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))))
(fma.f64 1/2 (/.f64 b_2 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) (sqrt.f64 (*.f64 c (neg.f64 a))))
(fma.f64 1/2 (/.f64 b_2 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)) (sqrt.f64 (*.f64 a (neg.f64 c))))
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a)))))))
(+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3)) (*.f64 1/2 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))))))
(+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (fma.f64 1/2 (/.f64 b_2 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) (/.f64 (*.f64 -1/8 (pow.f64 b_2 4)) (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3))))
(fma.f64 1/2 (/.f64 b_2 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)) (fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 3)) (sqrt.f64 (*.f64 a (neg.f64 c)))))
(+.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (sqrt.f64 (neg.f64 (*.f64 c a))))) (*.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 5))))))
(+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3)) (fma.f64 1/2 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) (*.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 5))))))
(+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3)) (fma.f64 1/2 (/.f64 b_2 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) (/.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 5) (pow.f64 b_2 6))))))
(+.f64 (fma.f64 1/2 (/.f64 b_2 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 3)))) (fma.f64 1/16 (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 5)) (sqrt.f64 (*.f64 a (neg.f64 c)))))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2)
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2))
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2)))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(-.f64 (/.f64 1/2 (/.f64 b_2 (*.f64 c a))) b_2)
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(-.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) 1/8)) b_2)
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) 1/8)) b_2)
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (-.f64 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) 1/8)) b_2))
(-.f64 (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) 1/8))) b_2)
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2)
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2))
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2)))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2)
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2))
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 a)) b_2)))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(*.f64 -1 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 a (neg.f64 c))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 a (neg.f64 c))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 a (neg.f64 c))
(+.f64 (*.f64 -1 (*.f64 c a)) (pow.f64 b_2 2))
(fma.f64 -1 (*.f64 c a) (*.f64 b_2 b_2))
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(+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)))
(fma.f64 -1 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 (*.f64 b_2 b_2) (*.f64 a (sqrt.f64 (*.f64 c (neg.f64 a))))) (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)))
(-.f64 (fma.f64 1/2 (/.f64 (/.f64 (*.f64 b_2 b_2) a) (sqrt.f64 (*.f64 c (neg.f64 a)))) (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)) (/.f64 b_2 a))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 b_2 (*.f64 a (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2) (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)) (/.f64 b_2 a))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3) a))) (+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))))
(fma.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 a (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3))) (fma.f64 -1 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 (*.f64 b_2 b_2) (*.f64 a (sqrt.f64 (*.f64 c (neg.f64 a))))) (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a))))
(fma.f64 -1/8 (/.f64 (/.f64 (pow.f64 b_2 4) a) (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3)) (-.f64 (fma.f64 1/2 (/.f64 (/.f64 (*.f64 b_2 b_2) a) (sqrt.f64 (*.f64 c (neg.f64 a)))) (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)) (/.f64 b_2 a)))
(-.f64 (fma.f64 -1/8 (/.f64 (/.f64 (pow.f64 b_2 4) a) (pow.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) 3)) (fma.f64 1/2 (*.f64 (/.f64 b_2 (*.f64 a (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2) (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))) (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (*.f64 -1/8 (*.f64 c (*.f64 c a))) (pow.f64 b_2 3)))
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/16 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (/.f64 -1/2 (/.f64 b_2 c))))
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/16 (/.f64 (/.f64 (pow.f64 b_2 5) (pow.f64 c 3)) (*.f64 a a)))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a a))) 2)) (*.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (*.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (/.f64 -1/2 (/.f64 b_2 c)))))
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (*.f64 -1/2 (+.f64 (/.f64 c b_2) (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (*.f64 a (pow.f64 b_2 7)))))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (/.f64 1/2 (/.f64 b_2 c)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (*.f64 1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a))))
(fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (*.f64 -2 (/.f64 b_2 a))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 (*.f64 1/16 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b_2 5)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (*.f64 1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) a)))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (*.f64 -1/8 (*.f64 c (*.f64 c a))) (pow.f64 b_2 3)))
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/16 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (/.f64 -1/2 (/.f64 b_2 c))))
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/16 (/.f64 (/.f64 (pow.f64 b_2 5) (pow.f64 c 3)) (*.f64 a a)))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/8 (*.f64 c c)) (pow.f64 b_2 3)) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 b_2 (pow.f64 a 3))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64)) (/.f64 b_2 (pow.f64 a 3))) (fma.f64 -1/16 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (/.f64 -1/2 (/.f64 b_2 c)))))
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (*.f64 -1/2 (+.f64 (/.f64 c b_2) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 5/64) b_2) (pow.f64 a 3))))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (*.f64 -1/8 (*.f64 c (*.f64 c a))) (pow.f64 b_2 3)))
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/16 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (/.f64 -1/2 (/.f64 b_2 c))))
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/16 (/.f64 (/.f64 (pow.f64 b_2 5) (pow.f64 c 3)) (*.f64 a a)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) (*.f64 a b_2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/2 (/.f64 (pow.f64 c 4) (/.f64 (*.f64 a b_2) (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (*.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 b_2 3))) 2)))) (fma.f64 -1/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b_2 3)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 1/64)) a) (/.f64 (pow.f64 c 4) b_2)) (fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (fma.f64 -1/16 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (/.f64 -1/2 (/.f64 b_2 c)))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 5/64) a) (/.f64 (pow.f64 c 4) b_2)) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) a) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/16 (/.f64 (/.f64 (pow.f64 b_2 5) (pow.f64 c 3)) (*.f64 a a))))))

eval119.0ms (1.6%)

Compiler

Compiled 9680 to 3060 computations (68.4% saved)

prune686.0ms (9.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New38311394
Fresh000
Picked101
Done000
Total38411395
Error
7.7b
Counts
395 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
38.5b
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
44.5b
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
44.2b
(*.f64 -2 (/.f64 b_2 a))
38.2b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
37.8b
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
49.6b
(fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 (*.f64 a a))) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))
52.8b
(/.f64 (-.f64 (sqrt.f64 (pow.f64 b_2 2)) b_2) a)
38.5b
(fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 1) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) a) (neg.f64 (/.f64 b_2 a)))
49.4b
(/.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 b_2)) a)
41.2b
(/.f64 -1/2 (/.f64 b_2 c))
41.1b
(*.f64 -1/2 (/.f64 c b_2))
Compiler

Compiled 426 to 244 computations (42.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2)
1.5b
(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
27.9b
(sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
52.3b
(fma.f64 a (neg.f64 c) (*.f64 a c))

series56.0ms (0.8%)

Counts
4 → 100
Calls

33 calls:

TimeVariablePointExpression
32.0ms
b_2
@0
(sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
3.0ms
c
@0
(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2)
2.0ms
a
@-inf
(sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
1.0ms
a
@inf
(sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
1.0ms
c
@-inf
(sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))

rewrite68.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
514×log-prod_binary64
367×fma-def_binary64
217×fma-neg_binary64
195×expm1-udef_binary64
195×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01177
123357
2310457
Stop Event
node limit
Counts
4 → 191
Calls
Call 1
Inputs
(fma.f64 a (neg.f64 c) (*.f64 a c))
(sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2)
Outputs
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b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (fma.f64 b_2 b_2 (fma.f64 a c (*.f64 a (+.f64 c c)))) (*.f64 b_2 b_2)) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))))) (fma.f64 (neg.f64 b_2) 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (fma.f64 b_2 b_2 (fma.f64 a c (*.f64 a (+.f64 c c)))) (*.f64 b_2 b_2)) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))))) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (fma.f64 b_2 b_2 (fma.f64 a c (*.f64 a (+.f64 c c)))) (*.f64 b_2 b_2)) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))))) (+.f64 (neg.f64 b_2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 b_2)) (cbrt.f64 (neg.f64 b_2))) (cbrt.f64 (neg.f64 b_2)) (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c (*.f64 a (+.f64 c c)))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b_2 b_2 (fma.f64 a c (*.f64 a (+.f64 c c)))))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c (*.f64 a (+.f64 c c)))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b_2 b_2 (fma.f64 a c (*.f64 a (+.f64 c c)))))) (*.f64 (neg.f64 b_2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 b_2)) (sqrt.f64 (neg.f64 b_2)) (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))) (*.f64 (neg.f64 b_2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c (*.f64 a (+.f64 c c)))) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (fma.f64 a c (*.f64 a (+.f64 c c))))) 1/2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c (*.f64 a (+.f64 c c)))) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b_2 b_2 (fma.f64 a c (*.f64 a (+.f64 c c))))) 1/2) (*.f64 (neg.f64 b_2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c (*.f64 a (+.f64 c c)))) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c (*.f64 a (+.f64 c c)))) 1/4) (sqrt.f64 b_2)) (fma.f64 (neg.f64 b_2) 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 a c (*.f64 a (+.f64 c c)))) 1/4) (sqrt.f64 b_2)) 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b_2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))) b_2)))))))

simplify55.0ms (0.7%)

Algorithm
egg-herbie
Rules
820×fma-def_binary64
793×distribute-rgt-in_binary64
160×distribute-rgt-neg-out_binary64
146×unswap-sqr_binary64
109×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01841967
15821598
221151534
Stop Event
node limit
Counts
291 → 270
Calls
Call 1
Inputs
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))))))
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 5))))) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))))
b_2
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) b_2)
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) b_2))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
(*.f64 -1 b_2)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 -1 b_2))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 -1 b_2)))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (+.f64 (*.f64 -1 b_2) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
b_2
(+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))))
b_2
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) b_2)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 b_2 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 b_2 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))))))
(+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(pow.f64 b_2 2)
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(pow.f64 b_2 2)
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(pow.f64 b_2 2)
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(*.f64 (+.f64 c (*.f64 -2 c)) a)
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(*.f64 (+.f64 a (*.f64 -2 a)) c)
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a))))
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2))
(sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))
(+.f64 (*.f64 -1 b_2) (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))
(+.f64 (*.f64 -1 b_2) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))))))
(+.f64 (*.f64 -1 b_2) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))))
(*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 4)) (pow.f64 (*.f64 -1/8 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2)) 2)) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
(*.f64 -2 b_2)
(+.f64 (*.f64 -2 b_2) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3)))))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 b_2 3))) 2))) b_2)))))
Outputs
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 a (*.f64 0 c))
0
(sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))
(sqrt.f64 (*.f64 -1 (*.f64 a c)))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))
(+.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) (*.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 -1 (*.f64 a c)))))))
(fma.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 -1 (*.f64 a c)))) (sqrt.f64 (*.f64 a (neg.f64 c))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))))))
(+.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) (fma.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 -1 (*.f64 a c)) 3)))) (*.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 -1 (*.f64 a c))))))))
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 -1 (*.f64 a c)))) (sqrt.f64 (*.f64 a (neg.f64 c)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 3))) (*.f64 -1/8 (pow.f64 b_2 4))))
(fma.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 -1 (*.f64 a c)))) (fma.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (neg.f64 (pow.f64 (*.f64 a c) 3))))) (sqrt.f64 (*.f64 a (neg.f64 c)))))
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 5))))) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))))
(fma.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 -1 (*.f64 a c)) 5)))) (+.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) (fma.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 -1 (*.f64 a c)) 3)))) (*.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 -1 (*.f64 a c)))))))))
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 -1 (*.f64 a c)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 3))) (*.f64 -1/8 (pow.f64 b_2 4)))) (fma.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 5)))) (sqrt.f64 (*.f64 a (neg.f64 c)))))
(fma.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 5)))) (fma.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 -1 (*.f64 a c)))) (fma.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (neg.f64 (pow.f64 (*.f64 a c) 3))))) (sqrt.f64 (*.f64 a (neg.f64 c))))))
b_2
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) b_2)
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) b_2)
(fma.f64 1/2 (*.f64 (/.f64 (neg.f64 c) b_2) a) b_2)
(+.f64 b_2 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) b_2))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)))))
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) b_2)))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) 3)) (pow.f64 b_2 5)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 -1 b_2))
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (neg.f64 b_2))
(-.f64 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2) b_2)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 -1 b_2)))
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (neg.f64 b_2)))
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 1/2 (*.f64 a c)) b_2)) b_2)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (+.f64 (*.f64 -1 b_2) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (fma.f64 -1 b_2 (*.f64 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)) -1/16))))
(+.f64 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2) (fma.f64 1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) -1/16) b_2)))
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) 3)) (pow.f64 b_2 5)) -1/16 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2))) b_2)
b_2
(+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) b_2)
(fma.f64 1/2 (*.f64 (/.f64 (neg.f64 c) b_2) a) b_2)
(+.f64 b_2 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)))))
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) b_2)))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) 3)) (pow.f64 b_2 5)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))))
b_2
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) b_2)
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) b_2)
(fma.f64 1/2 (*.f64 (/.f64 (neg.f64 c) b_2) a) b_2)
(+.f64 b_2 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 b_2 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 b_2 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))))))
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(fma.f64 -2 b_2 (*.f64 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) -1/2))
(fma.f64 -2 b_2 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2))
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(*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))
(*.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2))
(/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)
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(+.f64 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (/.f64 (pow.f64 b_2 3) -1/8))))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) 3)) (pow.f64 b_2 5)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (neg.f64 c) 2) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b_2 (fma.f64 1/16 (/.f64 (pow.f64 (neg.f64 c) 4) (pow.f64 b_2 6)) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 (neg.f64 c) 2) (pow.f64 b_2 3))) 2)))) (fma.f64 1/16 (/.f64 (pow.f64 (neg.f64 c) 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (neg.f64 c) (/.f64 b_2 a))))))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b_2) (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64))) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 (neg.f64 c) 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b_2) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 5/64)) (fma.f64 1/16 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) 3)) (pow.f64 b_2 5)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2))
(*.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2))
(/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (*.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3))))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)))))
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (/.f64 (pow.f64 b_2 3) -1/8))))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) 3)) (pow.f64 b_2 5)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 b_2 3))) 2))) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 1/2 (/.f64 (neg.f64 a) (/.f64 b_2 c)) (fma.f64 -1/8 (/.f64 (pow.f64 (neg.f64 a) 2) (/.f64 (pow.f64 b_2 3) (*.f64 c c))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (fma.f64 1/16 (/.f64 (pow.f64 (neg.f64 a) 4) (pow.f64 b_2 6)) (pow.f64 (/.f64 (*.f64 -1/8 (pow.f64 (neg.f64 a) 2)) (pow.f64 b_2 3)) 2))) b_2)))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 c 4) b_2) (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 1/64))) (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (/.f64 (pow.f64 b_2 3) -1/8))) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 (neg.f64 a) 3) (pow.f64 b_2 5)) (pow.f64 c 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(fma.f64 1/16 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) 3)) (pow.f64 b_2 5)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 c 4) b_2) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 5/64)) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))))

eval80.0ms (1.1%)

Compiler

Compiled 7248 to 2507 computations (65.4% saved)

prune233.0ms (3.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New2673270
Fresh1910
Picked011
Done000
Total26813281
Error
7.7b
Counts
281 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
51.0b
(/.f64 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (*.f64 a (neg.f64 c)) 4) 5/64) (pow.f64 b_2 7)) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) 3)) (pow.f64 b_2 5)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))) a)
52.8b
(/.f64 (-.f64 (sqrt.f64 (pow.f64 b_2 2)) b_2) a)
38.5b
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
44.5b
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
44.2b
(*.f64 -2 (/.f64 b_2 a))
38.2b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
54.5b
(/.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))))) b_2) a)
52.1b
(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))) b_2))) a)
37.8b
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
49.6b
(fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 (*.f64 a a))) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))
38.5b
(fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 1) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) a) (neg.f64 (/.f64 b_2 a)))
41.2b
(/.f64 -1/2 (/.f64 b_2 c))
41.1b
(*.f64 -1/2 (/.f64 c b_2))
Compiler

Compiled 528 to 319 computations (39.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
0.5b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
1.2b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
27.9b
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

series29.0ms (0.4%)

Counts
1 → 4
Calls

9 calls:

TimeVariablePointExpression
7.0ms
c
@inf
(cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
5.0ms
a
@0
(cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
5.0ms
c
@0
(cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
4.0ms
b_2
@-inf
(cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
3.0ms
a
@inf
(cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))

rewrite41.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
693×fma-def_binary64
311×fma-neg_binary64
201×expm1-udef_binary64
201×log1p-udef_binary64
120×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01017
122917
2325816
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) 1/6) (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)) 1/3) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 a c (*.f64 b_2 b_2)))) (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) (pow.f64 b_2 3))) (cbrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (*.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2))))))))

simplify41.0ms (0.6%)

Algorithm
egg-herbie
Rules
514×distribute-rgt-in_binary64
512×distribute-lft-in_binary64
254×associate-*l*_binary64
240×associate-*r*_binary64
163×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049445
1143395
2404366
31889362
44899362
Stop Event
node limit
Counts
27 → 31
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 1/3)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)) 1/9) b_2)) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 (neg.f64 (*.f64 c a))))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 (neg.f64 (*.f64 c a)))) 1/9))) (pow.f64 b_2 2)) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)) 1/9) b_2)) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 1/3)))
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 (neg.f64 (*.f64 c a))))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 (neg.f64 (*.f64 c a)))) 1/9))) (pow.f64 b_2 2)) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)) 1/9) b_2)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 5)) 1/9) (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 (neg.f64 (*.f64 c a))))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 (neg.f64 (*.f64 c a)))) 1/9))))) (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)) 1/3))) (pow.f64 b_2 3)))) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 1/3))))
Outputs
(pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 1/3)
(cbrt.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)))
(cbrt.f64 (sqrt.f64 (*.f64 c (neg.f64 a))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)) 1/9) b_2)) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 1/3))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) 2)) 1/18)) b_2) (cbrt.f64 (sqrt.f64 (*.f64 (neg.f64 c) a))))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (neg.f64 a))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (neg.f64 a))) 1/18)) b_2) (cbrt.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 -1 (*.f64 c a)) 1/18) (pow.f64 (/.f64 -1 (*.f64 c a)) 1/18)) b_2) (cbrt.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))))
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 (neg.f64 (*.f64 c a))))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 (neg.f64 (*.f64 c a)))) 1/9))) (pow.f64 b_2 2)) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)) 1/9) b_2)) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 1/3)))
(fma.f64 1/3 (*.f64 (+.f64 (/.f64 1/2 (sqrt.f64 (*.f64 (neg.f64 c) a))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (neg.f64 c) a))) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (neg.f64 c) a))) 1/18)))) (*.f64 (*.f64 b_2 b_2) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) 2))))) (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) 2)) 1/18)) b_2) (cbrt.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)))))
(fma.f64 1/3 (*.f64 (+.f64 (/.f64 1/2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 c (neg.f64 a)))) (*.f64 b_2 b_2))) (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (neg.f64 a))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (neg.f64 a))) 1/18)) b_2) (cbrt.f64 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(fma.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18)) (/.f64 1/2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 c a))) (*.f64 b_2 b_2))) (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 -1 (*.f64 c a)) 1/18) (pow.f64 (/.f64 -1 (*.f64 c a)) 1/18)) b_2) (cbrt.f64 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(fma.f64 1/3 (*.f64 b_2 (*.f64 (*.f64 b_2 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18)) (/.f64 1/2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) (cbrt.f64 (/.f64 -1 (*.f64 c a))))) (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 -1 (*.f64 c a)) 1/18) (pow.f64 (/.f64 -1 (*.f64 c a)) 1/18)) b_2) (cbrt.f64 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 (neg.f64 (*.f64 c a))))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 (neg.f64 (*.f64 c a)))) 1/9))) (pow.f64 b_2 2)) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)) 1/9) b_2)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 5)) 1/9) (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 (neg.f64 (*.f64 c a))))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 (neg.f64 (*.f64 c a)))) 1/9))))) (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2)) 1/3))) (pow.f64 b_2 3)))) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 1/3))))
(fma.f64 1/3 (*.f64 (+.f64 (/.f64 1/2 (sqrt.f64 (*.f64 (neg.f64 c) a))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (neg.f64 c) a))) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (neg.f64 c) a))) 1/18)))) (*.f64 (*.f64 b_2 b_2) (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) 2))))) (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) 2)) 1/18)) b_2) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) 2))) (*.f64 (fma.f64 -2/3 (*.f64 (+.f64 (/.f64 1/2 (sqrt.f64 (*.f64 (neg.f64 c) a))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (neg.f64 c) a))) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (neg.f64 c) a))) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) 2))) -1/27)) (pow.f64 b_2 3))) (cbrt.f64 (sqrt.f64 (*.f64 (neg.f64 c) a))))))
(fma.f64 1/3 (*.f64 (+.f64 (/.f64 1/2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 c (neg.f64 a)))) (*.f64 b_2 b_2))) (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 c (neg.f64 a))) 1/18) (pow.f64 (/.f64 1 (*.f64 c (neg.f64 a))) 1/18)) b_2) (fma.f64 -1/3 (*.f64 (fma.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 5)) 1/18))) (+.f64 (/.f64 1/2 (sqrt.f64 (*.f64 c (neg.f64 a)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 c (neg.f64 a)))) -1/27)) (*.f64 (pow.f64 b_2 3) (cbrt.f64 (/.f64 1 (*.f64 c (neg.f64 a)))))) (cbrt.f64 (sqrt.f64 (*.f64 c (neg.f64 a)))))))
(fma.f64 1/3 (*.f64 b_2 (*.f64 (*.f64 b_2 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18)) (/.f64 1/2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) (cbrt.f64 (/.f64 -1 (*.f64 c a))))) (fma.f64 -1/3 (fma.f64 (*.f64 (pow.f64 (/.f64 -1 (*.f64 c a)) 1/18) (pow.f64 (/.f64 -1 (*.f64 c a)) 1/18)) b_2 (*.f64 (fma.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18)) (/.f64 1/2 (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 c a))) -1/27)) (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 c a))) (pow.f64 b_2 3)))) (cbrt.f64 (sqrt.f64 (*.f64 c (neg.f64 a))))))
(+.f64 (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 -1 (*.f64 c a)) 1/18) (pow.f64 (/.f64 -1 (*.f64 c a)) 1/18)) b_2) (cbrt.f64 (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 c a))) (+.f64 (*.f64 1/3 (*.f64 b_2 (*.f64 b_2 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18)) (/.f64 1/2 (sqrt.f64 (*.f64 c (neg.f64 a)))))))) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 5)) 1/18)) (*.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 c (neg.f64 a)))) 1/18)) (/.f64 1/2 (sqrt.f64 (*.f64 c (neg.f64 a))))) -2/3) (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 c a))) -1/27)) (*.f64 -1/3 (pow.f64 b_2 3))))))

eval291.0ms (4%)

Compiler

Compiled 29597 to 9104 computations (69.2% saved)

prune1.1s (14.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New6993702
Fresh2911
Picked101
Done011
Total70213715
Error
7.6b
Counts
715 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
51.0b
(/.f64 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (*.f64 a (neg.f64 c)) 4) 5/64) (pow.f64 b_2 7)) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) 3)) (pow.f64 b_2 5)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))) a)
52.8b
(/.f64 (-.f64 (sqrt.f64 (pow.f64 b_2 2)) b_2) a)
38.5b
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
44.5b
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
37.8b
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
49.6b
(fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 (*.f64 a a))) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))
38.5b
(fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 1) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) a) (neg.f64 (/.f64 b_2 a)))
44.2b
(*.f64 -2 (/.f64 b_2 a))
43.8b
(*.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
61.5b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 (/.f64 c b_2) a))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
61.9b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 (/.f64 c b_2) a))) a))
41.2b
(/.f64 -1/2 (/.f64 b_2 c))
41.1b
(*.f64 -1/2 (/.f64 c b_2))
Compiler

Compiled 566 to 367 computations (35.2% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
1.2b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
20.7b
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
27.9b
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

series6.0ms (0.1%)

Counts
1 → 20
Calls

9 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
1.0ms
b_2
@inf
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
1.0ms
c
@inf
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
1.0ms
a
@inf
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
1.0ms
b_2
@0
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))

rewrite50.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
417×fma-def_binary64
224×expm1-udef_binary64
224×log1p-udef_binary64
186×fma-neg_binary64
142×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01324
128521
2380521
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 1) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 0) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))) 2) (cbrt.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))) (sqrt.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) 3) (pow.f64 (/.f64 b_2 a) 3)) (fma.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (-.f64 (pow.f64 (/.f64 b_2 a) 2) (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (pow.f64 (/.f64 b_2 a) 2)) (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))))))

simplify26.0ms (0.4%)

Algorithm
egg-herbie
Rules
742×times-frac_binary64
537×associate-*l*_binary64
411×associate-/l*_binary64
366×associate-/r*_binary64
309×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0101698
1318684
21099643
Stop Event
node limit
Counts
45 → 53
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3) a))) (+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) (*.f64 a b_2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
Outputs
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)
(/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))
(fma.f64 -1 (/.f64 b_2 a) (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a))
(-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))
(+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)))
(fma.f64 -1 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 (*.f64 b_2 b_2) (*.f64 a (sqrt.f64 (*.f64 c (neg.f64 a))))) (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)))
(-.f64 (fma.f64 1/2 (/.f64 (/.f64 (*.f64 b_2 b_2) a) (sqrt.f64 (*.f64 c (neg.f64 a)))) (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)) (/.f64 b_2 a))
(fma.f64 1/2 (/.f64 (/.f64 b_2 (/.f64 a b_2)) (sqrt.f64 (*.f64 c (neg.f64 a)))) (-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3) a))) (+.f64 (*.f64 -1 (/.f64 b_2 a)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b_2 2) (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))))
(fma.f64 -1/8 (/.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3)) a) (fma.f64 -1 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 (*.f64 b_2 b_2) (*.f64 a (sqrt.f64 (*.f64 c (neg.f64 a))))) (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a))))
(fma.f64 -1/8 (/.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3)) a) (-.f64 (fma.f64 1/2 (/.f64 (/.f64 (*.f64 b_2 b_2) a) (sqrt.f64 (*.f64 c (neg.f64 a)))) (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)) (/.f64 b_2 a)))
(fma.f64 -1/8 (/.f64 (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3)) a) (fma.f64 1/2 (/.f64 (/.f64 b_2 (/.f64 a b_2)) (sqrt.f64 (*.f64 c (neg.f64 a)))) (-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c -1/2) b_2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (/.f64 (*.f64 c -1/2) b_2))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (/.f64 (*.f64 c -1/2) b_2)))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 (*.f64 (pow.f64 c 3) -1/16) (pow.f64 b_2 5)) (*.f64 a a))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a a))) 2)) (*.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (*.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (/.f64 (*.f64 c -1/2) b_2))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) a)) a) (*.f64 -1/2 (+.f64 (/.f64 c b_2) (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (*.f64 a (pow.f64 b_2 7)))))))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) -2)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 1/2 c) b_2))
(fma.f64 (/.f64 b_2 a) -2 (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 b_2 a) -2))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (*.f64 1/2 c) b_2)))
(fma.f64 (/.f64 b_2 a) -2 (fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) 1/8) (pow.f64 b_2 3))))
(fma.f64 1/2 (/.f64 c b_2) (fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b_2 3) a) 1/8))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (/.f64 (*.f64 1/2 c) b_2))))
(fma.f64 (/.f64 b_2 a) -2 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) 1/8 (fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) 1/16))))
(fma.f64 (/.f64 b_2 a) -2 (fma.f64 1/2 (/.f64 c b_2) (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) 1/16) (pow.f64 b_2 5)) (*.f64 a a)))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c -1/2) b_2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (/.f64 (*.f64 c -1/2) b_2))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (/.f64 (*.f64 c -1/2) b_2)))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 (*.f64 (pow.f64 c 3) -1/16) (pow.f64 b_2 5)) (*.f64 a a))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -1/8 (*.f64 c c)) (pow.f64 b_2 3)) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 b_2 (pow.f64 a 3))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64)) b_2) (pow.f64 a 3)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (/.f64 (*.f64 c -1/2) b_2))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) a)) a) (*.f64 -1/2 (+.f64 (/.f64 c b_2) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 5/64) b_2) (pow.f64 a 3))))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c -1/2) b_2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (/.f64 (*.f64 c -1/2) b_2))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (/.f64 (*.f64 c -1/2) b_2)))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 (*.f64 (pow.f64 c 3) -1/16) (pow.f64 b_2 5)) (*.f64 a a))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) 2))) (*.f64 a b_2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (pow.f64 (*.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 b_2 3))) 2)) b_2)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 1/64)) b_2)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (/.f64 (*.f64 c -1/2) b_2))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 5/64) b_2)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 (*.f64 (pow.f64 c 3) -1/16) (pow.f64 b_2 5)) (*.f64 a a)))))

eval79.0ms (1.1%)

Compiler

Compiled 7418 to 2330 computations (68.6% saved)

prune304.0ms (4.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New2615266
Fresh3811
Picked011
Done011
Total26415279
Error
7.6b
Counts
279 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
51.0b
(/.f64 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (*.f64 a (neg.f64 c)) 4) 5/64) (pow.f64 b_2 7)) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) 3)) (pow.f64 b_2 5)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))) a)
52.8b
(/.f64 (-.f64 (sqrt.f64 (pow.f64 b_2 2)) b_2) a)
61.9b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 (/.f64 c b_2) a))) a))
44.2b
(*.f64 -2 (/.f64 b_2 a))
37.8b
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
49.6b
(fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 (*.f64 a a))) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))
38.5b
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
61.7b
(fma.f64 (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
38.5b
(fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 1) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) a) (neg.f64 (/.f64 b_2 a)))
41.1b
(*.f64 -1/2 (/.f64 c b_2))
43.8b
(*.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
53.4b
(fma.f64 (sqrt.f64 (*.f64 b_2 b_2)) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
44.5b
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 b_2 a) -2))
61.5b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 (/.f64 c b_2) a))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
41.2b
(/.f64 -1/2 (/.f64 b_2 c))
Compiler

Compiled 328 to 211 computations (35.7% saved)

regimes280.0ms (3.8%)

Accuracy

Total -51.6b remaining (-417.5%)

Threshold costs -51.6b (-417.5%)

Counts
24 → 3
Calls
Call 1
Inputs
(*.f64 -2 (/.f64 b_2 a))
(fma.f64 (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 c b_2))
(fma.f64 (sqrt.f64 (*.f64 b_2 b_2)) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 (/.f64 b_2 a) -2))
(*.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 (/.f64 c b_2) a))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 (/.f64 c b_2) a))) a))
(/.f64 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (*.f64 a (neg.f64 c)) 4) 5/64) (pow.f64 b_2 7)) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (neg.f64 (pow.f64 (*.f64 a c) 3)) (pow.f64 b_2 5)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))) a)
(/.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))))) b_2) a)
(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 a (+.f64 c c))))) b_2))) a)
(fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))) b_2) a)
(fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 (*.f64 a a))) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))
(/.f64 (-.f64 (sqrt.f64 (pow.f64 b_2 2)) b_2) a)
(fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 1) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) a) (neg.f64 (/.f64 b_2 a)))
(/.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 b_2)) a)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Outputs
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
Results
TimeErrorSegmentsBranch
93.0ms31.1b9a
35.0ms12.4b3b_2
108.0ms30.0b10c
32.0ms17.5b5(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 447 to 181 computations (59.5% saved)

bsearch327.0ms (4.5%)

Algorithm
binary-search
Steps
TimePointRange
228.0ms
1.62e-62
∈ [
1.6007501835141553e-62
,
4.298891370182525e-56
]
98.0ms
-4e+75
∈ [
-2.1285194022434055e+81
,
-3.9277191445979664e+75
]
Compiler

Compiled 472 to 321 computations (32% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02344
13344
24844
35644
46144
56244
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b_2 -3999999999999999706159124705924795694035212860797871549050585679121449222144) (*.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 7503327382578089/463168356949264781694283940034751631413079938662562256157830336031652518559744) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))
Outputs
(if (<=.f64 b_2 -3999999999999999706159124705924795694035212860797871549050585679121449222144) (*.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 7503327382578089/463168356949264781694283940034751631413079938662562256157830336031652518559744) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))

end22.0ms (0.3%)

Stop Event
fuel
Compiler

Compiled 66 to 42 computations (36.4% saved)

Profiling

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