Details

Time bar (total: 5.7s)

analyze873.0ms (15.2%)

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 (38.1%)

Results
659.0ms5338×body128valid
570.0ms1196×body2048valid
421.0ms749×body1024valid
232.0ms404×body4096valid
134.0ms1112×body128invalid
110.0ms373×body512valid
41.0ms196×body256valid

preprocess46.0ms (0.8%)

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)

simplify62.0ms (1.1%)

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)

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
36.9b
Counts
3 → 1
Alt Table
StatusErrorProgram
36.9b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
Compiler

Compiled 58 to 30 computations (48.3% saved)

localize7.0ms (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)
1.4b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
25.9b
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

series28.0ms (0.5%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
4.0ms
b_2
@inf
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
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
a
@inf
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)

rewrite100.0ms (1.7%)

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 expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(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 +.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 b_2 b_2) (*.f64 a c))) b_2) a)) 1))))))

simplify62.0ms (1.1%)

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 (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))))))

prune391.0ms (6.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New38311394
Fresh000
Picked011
Done000
Total38312395
Error
3.9b
Counts
395 → 12
Alt Table
StatusErrorProgram
36.9b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
55.1b
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 3) 1/3)
37.0b
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
45.8b
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
37.0b
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)
35.8b
(/.f64 -1/2 (/.f64 b_2 c))
48.8b
(/.f64 (-.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (fma.f64 b_2 b_2 (*.f64 a c))))) b_2) a)
38.8b
(/.f64 (-.f64 (*.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)) b_2) a)
38.4b
(/.f64 (-.f64 (*.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)))) b_2) a)
45.6b
(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
35.7b
(*.f64 -1/2 (/.f64 c b_2))
53.0b
(/.f64 (-.f64 b_2 b_2) a)
Compiler

Compiled 10047 to 3285 computations (67.3% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -1/2 (/.f64 c b_2))

series4.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
c
@0
(*.f64 -1/2 (/.f64 c b_2))
1.0ms
c
@inf
(*.f64 -1/2 (/.f64 c b_2))
1.0ms
b_2
@inf
(*.f64 -1/2 (/.f64 c b_2))
1.0ms
b_2
@0
(*.f64 -1/2 (/.f64 c b_2))
1.0ms
c
@-inf
(*.f64 -1/2 (/.f64 c b_2))

rewrite39.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
653×pow1_binary64
606×add-log-exp_binary64
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
64×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11277
216107
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 c b_2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 -1/2 c) b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (*.f64 -1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 c) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) -1/2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 c)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -1/2 c) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) b_2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 c) b_2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 -1/2 c) b_2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -1/2 c) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) b_2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 -1/2 c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 -1/2 c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 -1/2 c) b_2)))))))

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
21 → 21
Calls
Call 1
Inputs
Outputs

prune25.0ms (0.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New19221
Fresh1910
Picked011
Done011
Total201333
Error
3.9b
Counts
33 → 13
Alt Table
StatusErrorProgram
36.9b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
55.1b
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 3) 1/3)
37.0b
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
45.8b
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
46.7b
(exp.f64 (log.f64 (/.f64 (*.f64 -1/2 c) b_2)))
35.7b
(*.f64 -1/2 (/.f64 c b_2))
48.8b
(/.f64 (-.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (fma.f64 b_2 b_2 (*.f64 a c))))) b_2) a)
51.0b
(pow.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) b_2) 3) 1/3)
38.8b
(/.f64 (-.f64 (*.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)) b_2) a)
38.4b
(/.f64 (-.f64 (*.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)))) b_2) a)
45.6b
(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
37.0b
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)
53.0b
(/.f64 (-.f64 b_2 b_2) a)
Compiler

Compiled 549 to 356 computations (35.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)
0.5b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
1.4b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
25.9b
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

series33.0ms (0.6%)

Counts
1 → 20
Calls

9 calls:

TimeVariablePointExpression
9.0ms
c
@inf
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)
6.0ms
a
@inf
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)
5.0ms
c
@0
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)
4.0ms
a
@-inf
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)
2.0ms
a
@0
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)

rewrite52.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
323×fma-neg_binary64
238×expm1-udef_binary64
238×log1p-udef_binary64
143×add-sqr-sqrt_binary64
139×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01221
127718
2395018
Stop Event
node limit
Counts
1 → 46
Calls
Call 1
Inputs
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1) (pow.f64 (/.f64 1 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))) -1) (pow.f64 (sqrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) 1) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (sqrt.f64 a)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 a)) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) 2) (/.f64 a (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (/.f64 a (sqrt.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))) 3/2) (pow.f64 b_2 3)) (*.f64 a (+.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)) (sqrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 a) (/.f64 1 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))) 2)) (cbrt.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (log.f64 a)))))))

simplify49.0ms (0.9%)

Algorithm
egg-herbie
Rules
309×associate-*r*_binary64
254×fma-def_binary64
235×associate-*l*_binary64
207×*-commutative_binary64
144×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02361493
18511407
239281385
Stop Event
node limit
Counts
66 → 77
Calls
Call 1
Inputs
(*.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 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (*.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (*.f64 1/32 (/.f64 (pow.f64 c 3) (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 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (*.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (*.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))) (pow.f64 b_2 2))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (*.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 4))) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (+.f64 (*.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (*.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 5))) (*.f64 -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)))) b_2) (pow.f64 c 2))))) (pow.f64 c 2)) (pow.f64 b_2 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (*.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (*.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)))))) (*.f64 -1/2 (/.f64 c 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 (-.f64 (/.f64 1 (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2) (+.f64 (*.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (*.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))) (pow.f64 a 2)))) (pow.f64 b_2 2)) (+.f64 (*.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (*.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))) (pow.f64 a 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2) (+.f64 (*.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 4))) (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 4)))) (pow.f64 a 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2) a)) (/.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (+.f64 (*.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (*.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))) (pow.f64 a 2))))) (pow.f64 b_2 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2) (+.f64 (*.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (*.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))) (pow.f64 a 2)))) (pow.f64 b_2 2)) (+.f64 (*.f64 -1 (/.f64 b_2 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 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 2))) (*.f64 -1/4 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 1/8 (*.f64 c (pow.f64 a 2))) (*.f64 -1/4 (*.f64 c (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 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 a (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 2))) (*.f64 -1/4 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 1/8 (*.f64 c (pow.f64 a 2))) (*.f64 -1/4 (*.f64 c (pow.f64 a 2)))))))))) (+.f64 (*.f64 -1/16 (*.f64 (pow.f64 c 3) (*.f64 a (+.f64 (*.f64 1/8 (*.f64 c (pow.f64 a 2))) (*.f64 -1/4 (*.f64 c (pow.f64 a 2))))))) (*.f64 -1/4 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -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 (pow.f64 c 2) a))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (*.f64 -1/4 (*.f64 c (*.f64 a (+.f64 (*.f64 1/8 (*.f64 c (pow.f64 a 2))) (*.f64 -1/4 (*.f64 c (pow.f64 a 2))))))))))))) (pow.f64 b_2 7))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 2))) (*.f64 -1/4 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 1/8 (*.f64 c (pow.f64 a 2))) (*.f64 -1/4 (*.f64 c (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 (*.f64 1/2 (/.f64 c b_2)) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))))))
(+.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 -4 (/.f64 (+.f64 (*.f64 -1/128 (*.f64 (pow.f64 c 3) (pow.f64 a 4))) (*.f64 -1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 4)))) (*.f64 (pow.f64 a 2) (pow.f64 b_2 5)))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (*.f64 a (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) a)) (*.f64 -1/8 (*.f64 (pow.f64 c 2) a))))) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 c b_2)) (*.f64 1/4 (/.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 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (*.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3)))) (pow.f64 b_2 2))) (*.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 5)))))) (+.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 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (*.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3)))) (pow.f64 b_2 2))) (*.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 5)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 a (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (*.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (pow.f64 b_2 4))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.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) a)) (*.f64 -1/4 (/.f64 (*.f64 a (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (*.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (pow.f64 b_2 2))))) (pow.f64 b_2 2))) (*.f64 1/4 (/.f64 (*.f64 a (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))) (*.f64 -1/4 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3)))) (pow.f64 b_2 2))) (*.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 5))))) (pow.f64 b_2 2))))))) (*.f64 -1/2 (/.f64 c b_2)))))
Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 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)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (*.f64 -1/2 c) b_2))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c a)))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (*.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (*.f64 1/32 (/.f64 (pow.f64 c 3) (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 (*.f64 (*.f64 a a) (fma.f64 -1/4 (/.f64 (*.f64 c c) (/.f64 (*.f64 b_2 b_2) (*.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (*.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))) (/.f64 (*.f64 -1/2 c) b_2)))
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (-.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 (*.f64 a a) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (*.f64 (*.f64 (*.f64 c c) -1/4) (*.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (*.f64 b_2 b_2))))))
(-.f64 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c a))))) (*.f64 (*.f64 a a) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (*.f64 (*.f64 (*.f64 c c) -1/4) (*.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (*.f64 b_2 b_2)))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (*.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (*.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))) (pow.f64 b_2 2))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (*.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 4))) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (+.f64 (*.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (*.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 5))) (*.f64 -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)))) b_2) (pow.f64 c 2))))) (pow.f64 c 2)) (pow.f64 b_2 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 c (pow.f64 b_2 3))) (*.f64 1/8 (/.f64 c (pow.f64 b_2 3))))) (pow.f64 b_2 2))) (*.f64 1/32 (/.f64 (pow.f64 c 3) (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 (*.f64 (pow.f64 a 3) (fma.f64 1/4 (/.f64 c (/.f64 (*.f64 b_2 b_2) (fma.f64 -1/4 (/.f64 (*.f64 c c) (/.f64 (*.f64 b_2 b_2) (*.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (*.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)))))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 4) (*.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (*.f64 -1/4 (/.f64 (fma.f64 -1/4 (/.f64 c (/.f64 (*.f64 b_2 b_2) (*.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (fma.f64 1/16 (/.f64 (*.f64 c c) (pow.f64 b_2 5)) (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (*.f64 c c) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (/.f64 (*.f64 c c) b_2))))) (/.f64 (*.f64 b_2 b_2) (*.f64 c c))))))) (fma.f64 -1 (*.f64 (*.f64 a a) (fma.f64 -1/4 (/.f64 (*.f64 c c) (/.f64 (*.f64 b_2 b_2) (*.f64 (/.f64 c (pow.f64 b_2 3)) -1/8))) (*.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))) (/.f64 (*.f64 -1/2 c) b_2))))
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (-.f64 (-.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 (*.f64 a a) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (*.f64 (*.f64 (*.f64 c c) -1/4) (*.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (*.f64 b_2 b_2))))) (*.f64 (pow.f64 a 3) (fma.f64 1/4 (*.f64 (/.f64 c (*.f64 b_2 b_2)) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (*.f64 (*.f64 (*.f64 c c) -1/4) (*.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (*.f64 b_2 b_2)))) (fma.f64 -1/4 (/.f64 (*.f64 c c) (/.f64 (*.f64 b_2 b_2) (fma.f64 -1/4 (*.f64 (/.f64 c (*.f64 b_2 b_2)) (*.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (fma.f64 1/16 (/.f64 c (/.f64 (pow.f64 b_2 5) c)) (*.f64 -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)) (*.f64 c c)) b_2)))))) (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 4)) (*.f64 -1/8 (/.f64 c (pow.f64 b_2 3))))))))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c a))))) (*.f64 (*.f64 a a) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (*.f64 (*.f64 (*.f64 c c) -1/4) (*.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (*.f64 b_2 b_2))))) (*.f64 (pow.f64 a 3) (fma.f64 1/4 (*.f64 (/.f64 c (*.f64 b_2 b_2)) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (/.f64 (*.f64 (*.f64 (*.f64 c c) -1/4) (*.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (*.f64 b_2 b_2)))) (fma.f64 -1/4 (/.f64 (*.f64 c c) (/.f64 (*.f64 b_2 b_2) (fma.f64 -1/4 (*.f64 (/.f64 c (*.f64 b_2 b_2)) (*.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))) (fma.f64 1/16 (/.f64 c (/.f64 (pow.f64 b_2 5) c)) (*.f64 -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)) (*.f64 c c)) b_2)))))) (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 4)) (*.f64 -1/8 (/.f64 c (pow.f64 b_2 3)))))))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)
(/.f64 (sqrt.f64 (*.f64 (neg.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 (neg.f64 c) a)) a))
(-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 2) (+.f64 (*.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))) (*.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) 3))))) (pow.f64 a 2)))) (pow.f64 b_2 2)) (+.f64 (*.f64 -1 (/.f64 b_2 a)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)))
(fma.f64 (-.f64 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 (neg.f64 c) a))) a) (neg.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) 2) (/.f64 (*.f64 a a) (*.f64 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) 3)) -1/2))))) (*.f64 b_2 b_2) (fma.f64 -1 (/.f64 b_2 a) (/.f64 (sqrt.f64 (*.f64 (neg.f64 c) a)) a)))
(fma.f64 (*.f64 b_2 b_2) (+.f64 (/.f64 (/.f64 1 a) (sqrt.f64 (*.f64 c (neg.f64 a)))) (*.f64 (/.f64 (*.f64 -1/2 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) 3))) a) (/.f64 (*.f64 c (neg.f64 a)) a))) (-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a)))
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(fma.f64 -1 (*.f64 (pow.f64 c 3) (fma.f64 -1/4 (/.f64 (*.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 b_2 3))) (*.f64 b_2 b_2)) (*.f64 1/32 (/.f64 (*.f64 a a) (pow.f64 b_2 5))))) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1 (*.f64 (pow.f64 c 4) (fma.f64 -1/16 (/.f64 a (/.f64 (pow.f64 b_2 4) (*.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 b_2 3))))) (fma.f64 -1/4 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (fma.f64 -2 (/.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)) (/.f64 a b_2)) (*.f64 -1/4 (/.f64 a (/.f64 (*.f64 b_2 b_2) (*.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 b_2 3)))))))) (*.f64 b_2 b_2)) (*.f64 1/4 (/.f64 a (/.f64 (*.f64 b_2 b_2) (fma.f64 -1/4 (/.f64 (*.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 b_2 3))) (*.f64 b_2 b_2)) (*.f64 1/32 (/.f64 (*.f64 a a) (pow.f64 b_2 5)))))))))) (/.f64 (*.f64 -1/2 c) b_2))))
(-.f64 (fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) a) (-.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 (pow.f64 c 4) (fma.f64 -1/16 (*.f64 (/.f64 a (pow.f64 b_2 4)) (*.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 b_2 3)))) (fma.f64 -1/4 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (fma.f64 -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) b_2) (/.f64 (*.f64 (*.f64 1/32 (/.f64 (*.f64 a a) (pow.f64 b_2 3))) a) (*.f64 b_2 b_2)))) (*.f64 b_2 b_2)) (*.f64 1/4 (*.f64 (/.f64 a (*.f64 b_2 b_2)) (fma.f64 1/32 (/.f64 a (/.f64 (pow.f64 b_2 5) a)) (/.f64 (*.f64 1/32 (/.f64 (*.f64 a a) (pow.f64 b_2 3))) (*.f64 b_2 b_2)))))))))) (*.f64 (pow.f64 c 3) (fma.f64 1/32 (/.f64 a (/.f64 (pow.f64 b_2 5) a)) (/.f64 (*.f64 1/32 (/.f64 (*.f64 a a) (pow.f64 b_2 3))) (*.f64 b_2 b_2)))))
(-.f64 (fma.f64 (neg.f64 (pow.f64 c 3)) (fma.f64 1/32 (/.f64 a (/.f64 (pow.f64 b_2 5) a)) (/.f64 (*.f64 1/32 (/.f64 (*.f64 a a) (pow.f64 b_2 3))) (*.f64 b_2 b_2))) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 -1/8 (/.f64 (pow.f64 b_2 3) (*.f64 c (*.f64 c a)))))) (*.f64 (pow.f64 c 4) (fma.f64 -1/16 (*.f64 (/.f64 a (pow.f64 b_2 4)) (*.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 b_2 3)))) (fma.f64 -1/4 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 b_2 5)) (fma.f64 -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) b_2) (/.f64 (*.f64 (*.f64 1/32 (/.f64 (*.f64 a a) (pow.f64 b_2 3))) a) (*.f64 b_2 b_2)))) (*.f64 b_2 b_2)) (*.f64 1/4 (*.f64 (/.f64 a (*.f64 b_2 b_2)) (fma.f64 1/32 (/.f64 a (/.f64 (pow.f64 b_2 5) a)) (/.f64 (*.f64 1/32 (/.f64 (*.f64 a a) (pow.f64 b_2 3))) (*.f64 b_2 b_2)))))))))

prune314.0ms (5.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New3952397
Fresh1910
Picked011
Done112
Total39713410
Error
3.9b
Counts
410 → 13
Alt Table
StatusErrorProgram
37.0b
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
37.0b
(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)))
45.8b
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
45.7b
(pow.f64 (/.f64 a (*.f64 b_2 -2)) -1)
46.7b
(exp.f64 (log.f64 (/.f64 (*.f64 -1/2 c) b_2)))
35.7b
(*.f64 -1/2 (/.f64 c b_2))
55.1b
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 3) 1/3)
48.8b
(/.f64 (-.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (fma.f64 b_2 b_2 (*.f64 a c))))) b_2) a)
51.0b
(pow.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) b_2) 3) 1/3)
38.8b
(/.f64 (-.f64 (*.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)) b_2) a)
45.6b
(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
37.0b
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)
53.0b
(/.f64 (-.f64 b_2 b_2) a)
Compiler

Compiled 12028 to 4843 computations (59.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
0.5b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
1.4b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
25.9b
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

series4.0ms (0.1%)

Counts
1 → 20
Calls

9 calls:

TimeVariablePointExpression
0.0ms
b_2
@0
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
0.0ms
a
@-inf
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
0.0ms
a
@inf
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
0.0ms
c
@inf
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
0.0ms
c
@-inf
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))

rewrite59.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
699×fma-def_binary64
320×fma-neg_binary64
230×expm1-udef_binary64
230×log1p-udef_binary64
139×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01218
127218
2384218
Stop Event
node limit
Counts
1 → 43
Calls
Call 1
Inputs
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 a)) (*.f64 (neg.f64 b_2) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (*.f64 (/.f64 1 a) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 -.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 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) 2) (/.f64 a (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (/.f64 a (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) (pow.f64 b_2 3)) (*.f64 a (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) (pow.f64 b_2 3)) 1) (*.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))) 1) (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) (pow.f64 b_2 3)) -1) (*.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))) -1) (*.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) (pow.f64 b_2 3))) (*.f64 (neg.f64 a) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c)))) (*.f64 (neg.f64 a) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) (pow.f64 b_2 3)) (/.f64 1 a)) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 1 a)) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) -1) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 a) (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) (pow.f64 b_2 3))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 a) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c)))) (+.f64 b_2 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (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 cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.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 cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) 3) (/.f64 (pow.f64 a -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) 3)))))) (#(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)))))) (#(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 fma.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 a) (*.f64 (neg.f64 b_2) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (*.f64 (/.f64 1 a) (neg.f64 b_2)))))) (#(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))))))

simplify29.0ms (0.5%)

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
63 → 71
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)))))

prune256.0ms (4.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New3901391
Fresh1910
Picked011
Done022
Total39113404
Error
3.9b
Counts
404 → 13
Alt Table
StatusErrorProgram
37.0b
(*.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
37.0b
(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)))
45.8b
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
46.7b
(exp.f64 (log.f64 (/.f64 (*.f64 -1/2 c) b_2)))
35.7b
(*.f64 -1/2 (/.f64 c b_2))
55.1b
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) 3) 1/3)
48.8b
(/.f64 (-.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (fma.f64 b_2 b_2 (*.f64 a c))))) b_2) a)
51.0b
(pow.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) b_2) 3) 1/3)
45.7b
(*.f64 (*.f64 b_2 -2) (/.f64 1 a))
38.8b
(/.f64 (-.f64 (*.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)) b_2) a)
45.6b
(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
37.0b
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)) -1)
53.0b
(/.f64 (-.f64 b_2 b_2) a)
Compiler

Compiled 10418 to 3847 computations (63.1% saved)

regimes818.0ms (14.3%)

Accuracy

Total -53.9b remaining (-544.5%)

Threshold costs -53.9b (-544.5%)

Counts
59 → 3
Compiler

Compiled 783 to 298 computations (61.9% saved)

bsearch131.0ms (2.3%)

Algorithm
binary-search
Calls

2 calls:

91.0ms
b_2
39.0ms
b_2
Steps
ItersPointRange
3.6e-49
∈ [
3.507954523764008e-49
,
1.139217370158508e-16
]
-6e+103
∈ [
-3.6266474283597436e+107
,
-5.9307847226998275e+103
]
Compiler

Compiled 536 to 342 computations (36.2% saved)

simplify4.0ms (0.1%)

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
02554
13554
25254
36254
46954
57154
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b_2 -60000000000000000114940505144080124172957307635911520669168210875962759452239325357674168706490819411968) (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))) (if (<=.f64 b_2 9705580800174229504/26959946667150639794667015087019630673637144422540572481103610249216) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2))))
Outputs
(if (<=.f64 b_2 -60000000000000000114940505144080124172957307635911520669168210875962759452239325357674168706490819411968) (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))) (if (<=.f64 b_2 9705580800174229504/26959946667150639794667015087019630673637144422540572481103610249216) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) a) (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -60000000000000000114940505144080124172957307635911520669168210875962759452239325357674168706490819411968) (fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a))) (if (<=.f64 b_2 4739053125085073/13164036458569648337239753460458804039861886925068638906788872192) (-.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a) (/.f64 b_2 a)) (*.f64 (/.f64 c b_2) -1/2)))

end137.0ms (2.4%)

Stop Event
fuel
Compiler

Compiled 235 to 118 computations (49.8% saved)

Profiling

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