Details

Time bar (total: 10.7s)

analyze290.0ms (2.7%)

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
Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.0s (18.5%)

Results
687.0ms5523×body256valid
441.0ms1160×body2048valid
305.0ms1515×body256invalid
244.0ms760×body1024valid
203.0ms422×body4096valid
84.0ms391×body512valid

preprocess85.0ms (0.8%)

Algorithm
egg-herbie
Rules
1391×fma-neg_binary64
689×div-sub_binary64
538×unsub-neg_binary64
508×times-frac_binary64
354×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03080
16572
211272
322272
436572
562072
6105772
7176872
8402572
9545772
10686472
11718572
12725872
13732272
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 19 to 13 computations (31.6% saved)

simplify92.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 28 to 12 computations (57.1% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
34.9b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
34.9b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
Compiler

Compiled 15 to 9 computations (40% saved)

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
21.3b
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
1.4b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
0.4b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
0.1b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
0.1b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
0.4b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
1.4b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
21.3b
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

series56.0ms (0.5%)

Counts
4 → 96
Calls

36 calls:

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

rewrite137.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
700×fma-def_binary64
630×log-prod_binary64
338×fma-neg_binary64
323×pow2_binary64
221×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01055
123955
2365352
Stop Event
node limit
Counts
4 → 357
Calls
Call 1
Inputs
(sqrt.f64 (-.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 b_2 b_2) (*.f64 a c))
(/.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 0 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.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 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.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) (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (*.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 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.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 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.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 exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.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 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) (*.f64 (neg.f64 b_2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) (fma.f64 (neg.f64 b_2) 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) (+.f64 (neg.f64 b_2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b_2) (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 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(neg.f64 (*.f64 a c)))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.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 1 (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.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 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (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)) 1/4) (sqrt.f64 b_2)) (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) (pow.f64 b_2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (-.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c)))))))) (#(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)) (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.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 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2) (pow.f64 b_2 3))) (neg.f64 (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) 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a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)))))))

simplify64.0ms (0.6%)

Algorithm
egg-herbie
Rules
985×times-frac_binary64
814×fma-def_binary64
760×associate-*l*_binary64
661×associate-/l*_binary64
565×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01782424
15612350
219322254
Stop Event
node limit
Counts
453 → 438
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1 b_2) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(*.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 -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))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 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 (*.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))))
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 (*.f64 c a) b_2) 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 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) 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 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) 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 a a) (pow.f64 b_2 3)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) 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))))
(fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 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 (*.f64 c a) b_2) (/.f64 (*.f64 (*.f64 1/8 (*.f64 a a)) (*.f64 c c)) (pow.f64 b_2 3))) b_2)
(fma.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) 1/8 (fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 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 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (/.f64 (*.f64 (*.f64 1/8 (*.f64 a a)) (*.f64 c c)) (pow.f64 b_2 3))) b_2))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) 1/8 (fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 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 (*.f64 c a) b_2) 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 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) 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 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) 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 a a) (pow.f64 b_2 3)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) 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 (*.f64 c a) b_2) 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 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) 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 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) 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 a a) (pow.f64 b_2 3)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1 b_2) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) (neg.f64 b_2)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (neg.f64 b_2)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (-.f64 (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))) b_2))
(-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))) b_2)
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(+.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 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (*.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))))
(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 -1/2 (/.f64 c (/.f64 b_2 a)))))
(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 c) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 (pow.f64 a 3) -1/16))))
(+.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)))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 a a)) 2)) (pow.f64 b_2 7)) (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 -1/2 (/.f64 c (/.f64 b_2 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)) (pow.f64 b_2 7)) (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 c) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (pow.f64 b_2 7)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 (pow.f64 a 3) -1/16)))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (*.f64 b_2 -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))))
(fma.f64 -2 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 b_2 -2 (fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (/.f64 (*.f64 (*.f64 1/8 (*.f64 a a)) (*.f64 c c)) (pow.f64 b_2 3))))
(fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (fma.f64 b_2 -2 (*.f64 (/.f64 (*.f64 c 1/8) (/.f64 (pow.f64 b_2 3) (*.f64 c a))) a)))
(+.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)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (fma.f64 -2 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 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 b_2 -2 (fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (/.f64 (*.f64 (*.f64 1/8 (*.f64 a a)) (*.f64 c c)) (pow.f64 b_2 3)))))
(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 a) b_2) (fma.f64 b_2 -2 (*.f64 (/.f64 (*.f64 c 1/8) (/.f64 (pow.f64 b_2 3) (*.f64 c a))) a))))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(+.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 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (*.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))))
(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 -1/2 (/.f64 c (/.f64 b_2 a)))))
(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 c) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 (pow.f64 a 3) -1/16))))
(+.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)))))
(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 -1/2 (+.f64 (/.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 b_2 (pow.f64 a 4))) (/.f64 c (/.f64 b_2 a))))))
(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 (*.f64 c a) b_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 4)))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)))))
(fma.f64 -1/2 (fma.f64 (/.f64 c b_2) a (*.f64 (/.f64 (pow.f64 a 4) b_2) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 5/64))) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 (pow.f64 a 3) -1/16))))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(+.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 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b_2 3)) (*.f64 c c)) (*.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))))
(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 -1/2 (/.f64 c (/.f64 b_2 a)))))
(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 c) (pow.f64 b_2 3)) (*.f64 a a)) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
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(fma.f64 -1/2 (/.f64 c b_2) (fma.f64 -1/8 (*.f64 (/.f64 a (pow.f64 b_2 3)) (*.f64 c c)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 (*.f64 a a) -1/16))))
(+.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 -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 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 (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 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (*.f64 (/.f64 a (pow.f64 b_2 3)) (*.f64 c c)) (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 (pow.f64 a 3) b_2) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 5/64))))))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 -1/2 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 c)) (/.f64 (pow.f64 b_2 3) a)))
(fma.f64 -1/8 (*.f64 (/.f64 a (pow.f64 b_2 3)) (*.f64 c c)) (*.f64 (/.f64 -1/2 b_2) c))
(+.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 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/2 (/.f64 c b_2) (fma.f64 -1/8 (*.f64 (/.f64 a (pow.f64 b_2 3)) (*.f64 c c)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 (*.f64 a a) -1/16))))
(+.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 (*.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 (/.f64 -1/2 a) (*.f64 (/.f64 (pow.f64 a 4) b_2) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 5/64)) (fma.f64 -1/2 (/.f64 c b_2) (fma.f64 -1/8 (*.f64 (/.f64 a (pow.f64 b_2 3)) (*.f64 c c)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 (*.f64 a a) -1/16)))))

eval163.0ms (1.5%)

Compiler

Compiled 10387 to 3588 computations (65.5% saved)

prune91.0ms (0.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New42513438
Fresh000
Picked011
Done000
Total42514439
Error
5.1b
Counts
439 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
38.0b
(*.f64 -1/2 (/.f64 c b_2))
44.9b
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
45.0b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
34.0b
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
34.9b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
43.2b
(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) b_2) a)
35.3b
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2) b_2) a)
46.1b
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
38.1b
(*.f64 (/.f64 -1/2 b_2) c)
33.9b
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)
33.9b
(*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) (/.f64 1 a))
35.9b
(/.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 3)) b_2) a)
58.9b
(/.f64 (-.f64 b_2 b_2) a)
44.8b
(/.f64 (*.f64 -2 b_2) a)
Compiler

Compiled 353 to 239 computations (32.3% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
13.0b
(sqrt.f64 (neg.f64 (*.f64 a c)))
1.2b
(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
0.1b
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)
0.1b
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)
1.2b
(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
13.0b
(sqrt.f64 (neg.f64 (*.f64 a c)))

series50.0ms (0.5%)

Counts
3 → 24
Calls

24 calls:

TimeVariablePointExpression
5.0ms
c
@inf
(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
5.0ms
a
@0
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)
4.0ms
c
@-inf
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)
4.0ms
a
@inf
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)
3.0ms
c
@inf
(sqrt.f64 (neg.f64 (*.f64 a c)))

rewrite130.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
833×prod-diff_binary64
580×log-prod_binary64
279×pow2_binary64
268×fma-def_binary64
195×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01039
122533
2327633
Stop Event
node limit
Counts
3 → 301
Calls
Call 1
Inputs
(sqrt.f64 (neg.f64 (*.f64 a c)))
(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a c)) (cbrt.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a c))) (cbrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (pow.f64 (neg.f64 c) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a c) 1/4) (pow.f64 (*.f64 a c) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a c) 2))) (sqrt.f64 (cbrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a c) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 a c)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 a) 1/2) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1 1/2) (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a c) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a c) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a c) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a c) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a c)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a c))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) (*.f64 (neg.f64 b_2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) (fma.f64 (neg.f64 b_2) 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) (fma.f64 (neg.f64 (cbrt.f64 b_2)) (pow.f64 (cbrt.f64 b_2) 2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) (+.f64 (neg.f64 b_2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) (fma.f64 -1 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b_2) (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) 2) (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 3/2) (pow.f64 b_2 3)) (/.f64 1 (fma.f64 b_2 (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (fma.f64 a c (*.f64 b_2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 a c (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (/.f64 1 (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (sqrt.f64 b_2)) (-.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b_2 (+.f64 b_2 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(hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) 1) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) 2) (cbrt.f64 (*.f64 a a))) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) (cbrt.f64 (*.f64 a a))) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) a)) 2) (cbrt.f64 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) a)) (sqrt.f64 (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (*.f64 a a))) (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) (sqrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) 1) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 1) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) (cbrt.f64 (*.f64 a a))) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (cbrt.f64 (*.f64 a a))) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) (sqrt.f64 a)) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (sqrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (sqrt.f64 a)) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (sqrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) b_2) a)))))))

simplify89.0ms (0.8%)

Algorithm
egg-herbie
Rules
902×times-frac_binary64
641×associate-/l*_binary64
461×fma-def_binary64
440×associate-/r*_binary64
312×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01401086
1415872
21547800
36283782
47655782
Stop Event
node limit
Counts
325 → 348
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1 b_2) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(*.f64 -2 b_2)
(+.f64 (*.f64 -2 b_2) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a)))))
(*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1 b_2) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) 1/2)) b_2))
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 b_2 (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (-.f64 (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) 1/2))) b_2))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (-.f64 (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) b_2)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))) (neg.f64 b_2))))
(*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))
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(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a 1)) (fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 1/2 c) b_2)))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 c a) (/.f64 (pow.f64 b_2 3) c)) (/.f64 1/2 (/.f64 b_2 c))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 4)) a) (pow.f64 b_2 3)) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/16 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6)) (*.f64 a a)) (pow.f64 b_2 5))))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a 1)) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (*.f64 a a))) (/.f64 (*.f64 1/2 c) b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 c a) (/.f64 (pow.f64 b_2 3) c)) (fma.f64 -1/16 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 1/2 (/.f64 b_2 c)))))

localize3.0ms (0%)

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

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

series4.0ms (0%)

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))

rewrite36.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
653×pow1_binary64
606×add-log-exp_binary64
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
594×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11277
216107
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 c b_2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (/.f64 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 -1/2 (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 c b_2) 2) 1/4))))) (#(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 cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 c b_2))))))))

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
20 → 20
Calls
Call 1
Inputs
Outputs

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
13.0b
(sqrt.f64 (*.f64 a (neg.f64 c)))
0.1b
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
0.1b
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
13.0b
(sqrt.f64 (*.f64 a (neg.f64 c)))

series8.0ms (0.1%)

Counts
2 → 14
Calls

15 calls:

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

rewrite103.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
924×prod-diff_binary64
515×log-prod_binary64
355×fma-def_binary64
250×pow2_binary64
223×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0922
120418
2305118
Stop Event
node limit
Counts
2 → 235
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a (neg.f64 c)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a c)) (cbrt.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a c))) (cbrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a c) 1/4) (pow.f64 (*.f64 a c) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a c) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a c) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a c) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a c) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a c)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a c))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 b_2) (sqrt.f64 a))) (/.f64 (sqrt.f64 b_2) (sqrt.f64 a)) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 a c)) a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 1 a) (neg.f64 (*.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 (sqrt.f64 (*.f64 a c)) a) (neg.f64 (*.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 a c)) a)) 2) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 a c)) a)) (neg.f64 (*.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 a c)) a)) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 a c)) a)) (neg.f64 (*.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (cbrt.f64 (*.f64 a c)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 a c))) a) (neg.f64 (*.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 c) a) (neg.f64 (*.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) 1/4) 1) (/.f64 (pow.f64 (*.f64 a c) 1/4) a) (neg.f64 (*.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 a c)) (cbrt.f64 a)) (neg.f64 (*.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 a c))) (cbrt.f64 a)) (neg.f64 (*.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 a)) (neg.f64 (*.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (*.f64 a c) 1/4) (cbrt.f64 a)) (neg.f64 (*.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 a)) (neg.f64 (*.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (cbrt.f64 (*.f64 a c)) (sqrt.f64 a)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 a)) (neg.f64 (*.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 a)) (/.f64 (sqrt.f64 c) (sqrt.f64 a)) (neg.f64 (*.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a c) 1/4) (sqrt.f64 a)) (/.f64 (pow.f64 (*.f64 a c) 1/4) (sqrt.f64 a)) (neg.f64 (*.f64 (/.f64 1 a) b_2))) (fma.f64 (neg.f64 (/.f64 1 a)) b_2 (*.f64 (/.f64 1 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 1 a) (neg.f64 (*.f64 (/.f64 b_2 a) 1))) (fma.f64 (neg.f64 (/.f64 b_2 a)) 1 (*.f64 (/.f64 b_2 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 (sqrt.f64 (*.f64 a c)) a) (neg.f64 (*.f64 (/.f64 b_2 a) 1))) (fma.f64 (neg.f64 (/.f64 b_2 a)) 1 (*.f64 (/.f64 b_2 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 a c)) a)) 2) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 a c)) a)) (neg.f64 (*.f64 (/.f64 b_2 a) 1))) (fma.f64 (neg.f64 (/.f64 b_2 a)) 1 (*.f64 (/.f64 b_2 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 a c)) a)) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 a c)) a)) (neg.f64 (*.f64 (/.f64 b_2 a) 1))) (fma.f64 (neg.f64 (/.f64 b_2 a)) 1 (*.f64 (/.f64 b_2 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 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a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) 2) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a)) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (-.f64 (sqrt.f64 (*.f64 a c)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) 1) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.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 a c)) b_2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (-.f64 (sqrt.f64 (*.f64 a c)) b_2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 1 a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (sqrt.f64 (*.f64 a c)) a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 a c)) a)) 2) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 a c)) a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 a c)) a)) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 a c)) a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 a c)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 a c))) a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 c) a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (*.f64 a c) 1/4) 1) (/.f64 (pow.f64 (*.f64 a c) 1/4) a) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 a c)) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 a c))) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (*.f64 a c) 1/4) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (pow.f64 (*.f64 a c) 1/4) (cbrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 a c)) (sqrt.f64 a)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 a c))) (sqrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 a)) (/.f64 (sqrt.f64 c) (sqrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (*.f64 a c) 1/4) (sqrt.f64 a)) (/.f64 (pow.f64 (*.f64 a c) 1/4) (sqrt.f64 a)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a)))))))

simplify41.0ms (0.4%)

Algorithm
egg-herbie
Rules
221×fma-def_binary64
129×fma-neg_binary64
46×cancel-sign-sub-inv_binary64
32×unsub-neg_binary64
27×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012188
119188
230188
340188
461188
593188
6163188
7257188
8359188
9474188
10593188
11666188
12714188
13741188
14756188
15784188
16797188
17807188
18838188
19917188
Stop Event
saturated
Counts
249 → 240
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b_2 a))
(*.f64 -1 (/.f64 b_2 a))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(*.f64 -1 (/.f64 b_2 a))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
Outputs
(*.f64 -1 (/.f64 b_2 a))
(neg.f64 (/.f64 b_2 a))
(/.f64 (neg.f64 b_2) a)
(*.f64 -1 (/.f64 b_2 a))
(neg.f64 (/.f64 b_2 a))
(/.f64 (neg.f64 b_2) a)
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(*.f64 -1 (/.f64 b_2 a))
(neg.f64 (/.f64 b_2 a))
(/.f64 (neg.f64 b_2) a)
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(*.f64 -1 (/.f64 b_2 a))
(neg.f64 (/.f64 b_2 a))
(/.f64 (neg.f64 b_2) a)
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
13.0b
(-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2) b_2)
0.5b
(pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)
0.4b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
0.1b
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2) b_2) a)
0.4b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
0.5b
(pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)
13.0b
(-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2) b_2)
21.9b
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)

series50.0ms (0.5%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
7.0ms
c
@0
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)
4.0ms
c
@0
(pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)
4.0ms
b_2
@0
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)
3.0ms
a
@0
(-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2) b_2)
3.0ms
c
@0
(-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2) b_2)

rewrite74.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
642×fma-def_binary64
599×log-prod_binary64
339×pow2_binary64
278×fma-neg_binary64
228×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01242
128340
2368638
Stop Event
node limit
Counts
3 → 157
Calls
Call 1
Inputs
(pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)
(-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2) b_2)
(pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)
Outputs
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simplify127.0ms (1.2%)

Algorithm
egg-herbie
Rules
750×fma-def_binary64
567×associate-*r*_binary64
435×associate-*l*_binary64
351×times-frac_binary64
337×associate-+l+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05838295
121867035
Stop Event
node limit
Counts
265 → 348
Calls
Call 1
Inputs
(pow.f64 (*.f64 -1 (*.f64 c a)) 1/4)
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (pow.f64 (*.f64 -1 (*.f64 c a)) 1/4))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (*.f64 -3/32 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (*.f64 -1 (*.f64 c a)) 1/4)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (*.f64 -7/128 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))) (+.f64 (*.f64 -3/32 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (*.f64 -1 (*.f64 c a)) 1/4))))
(sqrt.f64 b_2)
(+.f64 (*.f64 -1/4 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(+.f64 (*.f64 -1/4 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
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(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
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(+.f64 (*.f64 (pow.f64 b_2 4) (+.f64 (*.f64 -3/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(+.f64 (*.f64 (pow.f64 b_2 4) (+.f64 (*.f64 -3/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (*.f64 (pow.f64 b_2 6) (+.f64 (*.f64 -7/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -1))) (*.f64 3/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -1))))))))
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 (*.f64 -1/4 (/.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 2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -1/12 (*.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 -1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b_2 5))) (*.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 1/2 (/.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 1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b_2 5))) (+.f64 (*.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 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -1/12 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 5))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))))) (pow.f64 a 2)) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))))) (pow.f64 a 2)) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (*.f64 -1/384 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))))))) (*.f64 -1/2 (/.f64 (*.f64 c (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) b_2)))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)
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(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (pow.f64 a 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2))))
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(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
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(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (*.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (*.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2)))))) c))) (pow.f64 a 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 b_2 (+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (*.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 b_2 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (*.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (*.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))))) b_2) (*.f64 -1/2 (/.f64 (*.f64 a (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))) b_2))))) (+.f64 b_2 (+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (*.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 b_2 2))) (*.f64 (pow.f64 c 3) a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (*.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (*.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) a))) (pow.f64 c 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
Outputs
(pow.f64 (*.f64 -1 (*.f64 c a)) 1/4)
(pow.f64 (*.f64 (neg.f64 c) a) 1/4)
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (pow.f64 (*.f64 -1 (*.f64 c a)) 1/4))
(fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b_2 b_2)) (pow.f64 (*.f64 (neg.f64 c) a) 1/4))
(fma.f64 (*.f64 -1/4 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4)) (*.f64 b_2 b_2) (pow.f64 (*.f64 a (neg.f64 c)) 1/4))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (*.f64 -3/32 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (*.f64 -1 (*.f64 c a)) 1/4)))
(fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b_2 b_2)) (fma.f64 -3/32 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4)) (pow.f64 (*.f64 (neg.f64 c) a) 1/4)))
(fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b_2 b_2)) (fma.f64 -3/32 (*.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (pow.f64 (*.f64 a (neg.f64 c)) 1/4)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (*.f64 -7/128 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))) (+.f64 (*.f64 -3/32 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (*.f64 -1 (*.f64 c a)) 1/4))))
(fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b_2 b_2)) (fma.f64 -7/128 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6)) (fma.f64 -3/32 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4)) (pow.f64 (*.f64 (neg.f64 c) a) 1/4))))
(fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b_2 b_2)) (fma.f64 -7/128 (*.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b_2 6)) (fma.f64 -3/32 (*.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (pow.f64 (*.f64 a (neg.f64 c)) 1/4))))
(sqrt.f64 b_2)
(+.f64 (*.f64 -1/4 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(fma.f64 -1/4 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (sqrt.f64 b_2))
(fma.f64 (*.f64 -1/4 (*.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (sqrt.f64 b_2))
(+.f64 (*.f64 -1/4 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(fma.f64 -1/4 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (+.f64 (sqrt.f64 b_2) (*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/32) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(fma.f64 -1/4 (*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (fma.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) -3/32)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (sqrt.f64 b_2)))
(+.f64 (*.f64 -1/4 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -1/12 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (sqrt.f64 b_2) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(fma.f64 -1/4 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (fma.f64 -1/384 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -5/96)) (+.f64 (sqrt.f64 b_2) (*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/32) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(fma.f64 -1/4 (*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/128) (fma.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) -3/32)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (sqrt.f64 b_2))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b_2))
(*.f64 (sqrt.f64 b_2) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (*.f64 -1/4 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 b_2) (*.f64 -1/4 (*.f64 c (*.f64 (*.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))))
(fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (*.f64 c (*.f64 a (sqrt.f64 -1)))) (*.f64 (sqrt.f64 b_2) (sqrt.f64 -1)))
(+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (+.f64 (*.f64 -1/4 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (*.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 b_2) (fma.f64 -1/4 (*.f64 c (*.f64 (*.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/32) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(fma.f64 (sqrt.f64 b_2) (sqrt.f64 -1) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (*.f64 c (*.f64 a (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 -3/32 (sqrt.f64 -1))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -1/12 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11)))) (+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (+.f64 (*.f64 -1/4 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (*.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(fma.f64 (*.f64 (fma.f64 -1/384 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -5/96)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 b_2) (fma.f64 -1/4 (*.f64 c (*.f64 (*.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/32) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))))
(+.f64 (*.f64 (sqrt.f64 -1) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/128) (sqrt.f64 b_2))) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (*.f64 c (*.f64 a (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 -3/32 (sqrt.f64 -1))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b_2))
(sqrt.f64 b_2)
(+.f64 (*.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (*.f64 -1/4 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))))
(fma.f64 -1/4 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))) (sqrt.f64 b_2))
(fma.f64 (*.f64 -1/4 (*.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (sqrt.f64 b_2))
(+.f64 (*.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (+.f64 (*.f64 -1/4 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))) (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2)))))
(fma.f64 1 (sqrt.f64 b_2) (fma.f64 -1/4 (*.f64 (*.f64 c a) (*.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (*.f64 1 (*.f64 (sqrt.f64 b_2) (*.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) -3/32))))))
(+.f64 (sqrt.f64 b_2) (fma.f64 (*.f64 -1/4 (*.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (*.f64 a (*.f64 a (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) (*.f64 -3/32 (sqrt.f64 b_2)))))))
(+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (*.f64 -1/384 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)))))) (sqrt.f64 b_2))) (+.f64 (*.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (+.f64 (*.f64 -1/4 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))) (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2))))))
(fma.f64 1 (*.f64 (pow.f64 a 3) (*.f64 (fma.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) 11/384)) (sqrt.f64 b_2))) (fma.f64 1 (sqrt.f64 b_2) (fma.f64 -1/4 (*.f64 (*.f64 c a) (*.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (*.f64 1 (*.f64 (sqrt.f64 b_2) (*.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) -3/32)))))))
(+.f64 (*.f64 (sqrt.f64 b_2) (+.f64 (*.f64 (pow.f64 a 3) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) -7/128)) 1)) (fma.f64 (*.f64 -1/4 (*.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (*.f64 a (*.f64 a (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) (*.f64 -3/32 (sqrt.f64 b_2)))))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 b_2 2) (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (*.f64 c a))) (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))))
(fma.f64 -1/4 (*.f64 (/.f64 (*.f64 b_2 b_2) c) (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) a)) (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))))
(fma.f64 -1/4 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 b_2 2) (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (*.f64 c a))) (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))))
(+.f64 (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 b_2 b_2) c) (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) a)) (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c))))) (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) (/.f64 (*.f64 a a) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) -3/32))))
(+.f64 (fma.f64 -1/4 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) a) (/.f64 (/.f64 (*.f64 (pow.f64 b_2 4) -3/32) (*.f64 c c)) a)))
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(*.f64 -1 b_2)
(neg.f64 b_2)
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(*.f64 0 b_2)
0
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(-.f64 (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)) b_2)
(*.f64 -1 b_2)
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(*.f64 b_2 -2)
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(fma.f64 (*.f64 (/.f64 c b_2) a) 1/2 (*.f64 b_2 -2))
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(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 (*.f64 -1/2 a) c) b_2)
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(-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2) b_2)
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 c)) (log.f64 a)))) b_2)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) b_2)
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2)) b_2)
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(-.f64 (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (*.f64 a a))) (fma.f64 2 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) -3/32) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (*.f64 c c)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))) b_2)
(-.f64 (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (*.f64 a a))) (fma.f64 2 (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 b_2 4) -3/32) (*.f64 a a)) (*.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)))) b_2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (*.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) a))) (pow.f64 c 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))) b_2)
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (fma.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 11/128)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (*.f64 1/2 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) -3/32) (*.f64 (*.f64 b_2 b_2) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) a))) (pow.f64 c 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (*.f64 a a))) (fma.f64 2 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) -3/32) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (*.f64 c c)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))))) b_2)
(-.f64 (-.f64 (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (*.f64 a a))) (fma.f64 2 (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 b_2 4) -3/32) (*.f64 a a)) (*.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)))) (/.f64 (fma.f64 2 (*.f64 (*.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 7/128) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (/.f64 (*.f64 (*.f64 1/2 (*.f64 b_2 (*.f64 b_2 (/.f64 (*.f64 (pow.f64 b_2 4) -3/32) (*.f64 a a))))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) a)) (pow.f64 c 3))) b_2)
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 -1/2 (*.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (*.f64 c a))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a))))
(+.f64 (*.f64 (pow.f64 b_2 4) (+.f64 (*.f64 -3/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2))))))
(fma.f64 (pow.f64 b_2 4) (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) -1/8) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (sqrt.f64 -1) -1/8)) (fma.f64 -1/2 (*.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (*.f64 c a))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a)))))
(+.f64 (*.f64 (pow.f64 b_2 4) (+.f64 (*.f64 -3/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -1))))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -1) (pow.f64 b_2 2)))) (*.f64 (pow.f64 b_2 6) (+.f64 (*.f64 -7/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -1))) (*.f64 3/64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (sqrt.f64 -1))))))))
(fma.f64 (pow.f64 b_2 4) (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) -1/8) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) (*.f64 (pow.f64 b_2 6) (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5))))) -1/16)))))
(fma.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (sqrt.f64 -1) -1/8)) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a)) (fma.f64 (pow.f64 b_2 6) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (*.f64 (sqrt.f64 -1) -1/16)) (*.f64 -1/2 (*.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (*.f64 c a)))))))))
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 (/.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 (*.f64 -1/4 (/.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)) (fma.f64 -1/4 (/.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))))))
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -1/12 (*.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 -1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))))
(fma.f64 2 (/.f64 (fma.f64 1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -11/128)) (pow.f64 b_2 5)) (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (fma.f64 -1/4 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (+.f64 (/.f64 c (/.f64 (pow.f64 b_2 5) (*.f64 a (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/32)))) (/.f64 c (/.f64 b_2 a))))))))
(fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/128) (pow.f64 b_2 5)) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a))) (fma.f64 -1/2 (+.f64 (*.f64 (/.f64 c (pow.f64 b_2 5)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) -3/32)))) (*.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 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (*.f64 (*.f64 (/.f64 c b_2) a) 1/2) b_2)
(+.f64 (*.f64 -1 b_2) (+.f64 (*.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 1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))
(fma.f64 -1 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)))))
(-.f64 (fma.f64 (*.f64 (/.f64 c b_2) a) 1/2 (*.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)))) b_2)
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) a)) (pow.f64 b_2 5))) (+.f64 (*.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 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -1/12 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b_2 5))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))))))))
(fma.f64 -1 b_2 (fma.f64 1/2 (/.f64 c (/.f64 (pow.f64 b_2 5) (*.f64 a (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/32)))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3)) (fma.f64 -2 (/.f64 (fma.f64 1/32 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -11/128)) (pow.f64 b_2 5)) (*.f64 1/4 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 3))))))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 c (pow.f64 b_2 5)) (*.f64 a (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) -3/32)))) (fma.f64 (*.f64 (/.f64 c b_2) a) 1/2 (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/128) (pow.f64 b_2 5)) -2) (*.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a 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 (/.f64 c b_2) a) b_2)
(+.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))))) (pow.f64 a 2)) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 (fma.f64 1/16 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 2 (*.f64 b_2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) -3/32)))) (*.f64 a a) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 (*.f64 a a) (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) (*.f64 -3/32 b_2)) (/.f64 (*.f64 (*.f64 c c) 1/16) (pow.f64 b_2 3))) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2))
(+.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))))) (pow.f64 a 2)) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 2 (*.f64 b_2 (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (*.f64 -1/384 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))))))) (*.f64 -1/2 (/.f64 (*.f64 c (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (*.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) b_2)))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 (fma.f64 1/16 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 2 (*.f64 b_2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) -3/32)))) (*.f64 a a) (fma.f64 (pow.f64 a 3) (fma.f64 2 (*.f64 b_2 (fma.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) 11/384))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) -3/32))))) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
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(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2)
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b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
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(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (*.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) a))) (pow.f64 c 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
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(-.f64 (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (*.f64 a a))) (fma.f64 2 (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 b_2 4) -3/32) (*.f64 a a)) (*.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)))) (/.f64 (fma.f64 2 (*.f64 (*.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 7/128) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (/.f64 (*.f64 (*.f64 1/2 (*.f64 b_2 (*.f64 b_2 (/.f64 (*.f64 (pow.f64 b_2 4) -3/32) (*.f64 a a))))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) a)) (pow.f64 c 3)))

eval575.0ms (5.4%)

Compiler

Compiled 39997 to 17200 computations (57% saved)

prune210.0ms (2%)

Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New1127121139
Fresh178
Picked101
Done055
Total1129241153
Error
0.1b
Counts
1153 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
46.1b
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
61.4b
(/.f64 (-.f64 (pow.f64 (sqrt.f64 b_2) 2) b_2) a)
38.0b
(*.f64 -1/2 (/.f64 c b_2))
44.9b
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
38.3b
(/.f64 -1/2 (/.f64 b_2 c))
33.9b
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)
33.9b
(*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) (/.f64 1 a))
46.2b
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 a (neg.f64 c)) 1/4) 2) b_2) a)
58.9b
(/.f64 0 a)
38.5b
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
45.0b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
34.0b
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
34.9b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
43.2b
(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) b_2) a)
44.8b
(/.f64 (*.f64 -2 b_2) a)
59.3b
(/.f64 (neg.f64 b_2) a)
38.5b
(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
47.4b
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
45.0b
(fma.f64 -2 (/.f64 b_2 a) (/.f64 1/2 (/.f64 b_2 c)))
38.1b
(*.f64 (/.f64 -1/2 b_2) c)
47.5b
(/.f64 (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2) a)
35.9b
(/.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 3)) b_2) a)
46.0b
(/.f64 (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2) a)
47.3b
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
Compiler

Compiled 597 to 402 computations (32.7% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
13.0b
(sqrt.f64 (neg.f64 (*.f64 a c)))
1.2b
(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
0.2b
(*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) (/.f64 1 a))
0.2b
(*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) (/.f64 1 a))
1.2b
(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
13.0b
(sqrt.f64 (neg.f64 (*.f64 a c)))

series8.0ms (0.1%)

Counts
1 → 12
Calls

9 calls:

TimeVariablePointExpression
3.0ms
c
@inf
(*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) (/.f64 1 a))
1.0ms
a
@inf
(*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) (/.f64 1 a))
1.0ms
c
@-inf
(*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) (/.f64 1 a))
1.0ms
a
@-inf
(*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) (/.f64 1 a))
1.0ms
c
@0
(*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) (/.f64 1 a))

rewrite53.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
660×prod-diff_binary64
600×log-prod_binary64
296×pow2_binary64
267×fma-def_binary64
208×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01217
125615
2343715
Stop Event
node limit
Counts
1 → 51
Calls
Call 1
Inputs
(*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) (/.f64 1 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) (pow.f64 a -1)) (*.f64 (neg.f64 b_2) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a -1) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (*.f64 (pow.f64 a -1) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 2) (/.f64 a (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) (/.f64 a (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 3/2) (pow.f64 b_2 3)) (*.f64 a (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (fma.f64 a c (*.f64 b_2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 a c (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (*.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 3/2) (pow.f64 b_2 3)) 1) (*.f64 (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (fma.f64 a c (*.f64 b_2 b_2))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (fma.f64 a c (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) 1) (*.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 3/2) (pow.f64 b_2 3)) -1) (*.f64 (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (fma.f64 a c (*.f64 b_2 b_2))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (fma.f64 a c (*.f64 b_2 b_2)) (*.f64 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(*.f64 b_2 b_2)) 3/2) (pow.f64 b_2 3)) (pow.f64 a -1)) (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (fma.f64 a c (*.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (fma.f64 a c (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (pow.f64 a -1)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) -1) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a -1) (-.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 3/2) (pow.f64 b_2 3))) (fma.f64 b_2 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) (fma.f64 a c (*.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a -1) (-.f64 (fma.f64 a c (*.f64 b_2 b_2)) (*.f64 b_2 b_2))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3) (pow.f64 (pow.f64 a -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 a -1) 3) (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3) (pow.f64 (pow.f64 a -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 a -1) 3) (pow.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) (pow.f64 a -1) (*.f64 (neg.f64 b_2) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a -1) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) (*.f64 (pow.f64 a -1) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))))))

simplify57.0ms (0.5%)

Algorithm
egg-herbie
Rules
580×associate-*r*_binary64
519×associate-*l*_binary64
449×neg-sub0_binary64
444×times-frac_binary64
415×neg-mul-1_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
095539
1274435
2994397
35277387
46860387
Stop Event
node limit
Counts
63 → 74
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a)))))
(*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
Outputs
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 b_2 b_2)) (sqrt.f64 -1)) (neg.f64 (/.f64 b_2 a))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))))) (/.f64 b_2 a))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a))))
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (*.f64 b_2 1/2) (/.f64 (sqrt.f64 -1) b_2)) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 b_2 a)))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (pow.f64 b_2 4)) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 b_2 b_2)) (sqrt.f64 -1)) (neg.f64 (/.f64 b_2 a)))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)))) (/.f64 b_2 a))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))) (/.f64 b_2 a))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (/.f64 b_2 (/.f64 -1 b_2)))))) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (/.f64 b_2 (/.f64 -1 b_2)))) (/.f64 (neg.f64 b_2) a)))
(*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 -1/2 (/.f64 b_2 c))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))))
(fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a 1)) (/.f64 (*.f64 -1/2 c) b_2))
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 c b_2) -1/2))
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (/.f64 -1/2 (/.f64 b_2 c)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)) (*.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a)))))))
(+.f64 (/.f64 (*.f64 -1/2 c) b_2) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a 1)) (*.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a (*.f64 a -1))))))
(+.f64 (*.f64 (/.f64 c b_2) -1/2) (fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1/16 (*.f64 a a)))))
(+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 (*.f64 a a) -1/16)) (fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (/.f64 -1/2 (/.f64 b_2 c))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) 2) (*.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4)))) (*.f64 a (pow.f64 b_2 7))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)) (*.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a))))))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a 1)) (*.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a (*.f64 a -1))))) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 1 (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 1 (*.f64 (*.f64 a a) (*.f64 c c)))) 2)) (*.f64 a (pow.f64 b_2 7))) (/.f64 (*.f64 -1/2 c) b_2)))
(+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1/16 (*.f64 a a))) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 1/16 (pow.f64 c 4)))) (*.f64 a (pow.f64 b_2 7))) (fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 c b_2) -1/2))))
(+.f64 (/.f64 -1/2 (/.f64 b_2 c)) (+.f64 (fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 (*.f64 a a) -1/16))) (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) -5/128) (*.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 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) -1/2))
(fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 1/2 c) b_2))
(fma.f64 (/.f64 b_2 a) -2 (*.f64 (/.f64 c b_2) 1/2))
(fma.f64 (/.f64 b_2 a) -2 (/.f64 1/2 (/.f64 b_2 c)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))))
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)) (fma.f64 -2 (/.f64 b_2 a) (*.f64 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) -1/2)))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a 1)) 1/8 (fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 1/2 c) b_2)))
(fma.f64 (/.f64 b_2 a) -2 (fma.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) 1/8 (*.f64 (/.f64 c b_2) 1/2)))
(fma.f64 (/.f64 b_2 a) -2 (fma.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) 1/8 (/.f64 1/2 (/.f64 b_2 c))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a)))) -1/16))))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a 1)) 1/8 (fma.f64 (/.f64 b_2 a) -2 (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a (*.f64 a -1))) -1/16 (/.f64 (*.f64 1/2 c) b_2))))
(+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (pow.f64 c 3) 1/16)) (pow.f64 b_2 5)) (fma.f64 (/.f64 b_2 a) -2 (fma.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) 1/8 (*.f64 (/.f64 c b_2) 1/2))))
(+.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 1/16 (*.f64 a a))) (fma.f64 (/.f64 b_2 a) -2 (fma.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) 1/8 (/.f64 1/2 (/.f64 b_2 c)))))

localize2.0ms (0%)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
8.7b
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
4.0b
(/.f64 c (/.f64 b_2 a))
0.0b
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
0.0b
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
4.0b
(/.f64 c (/.f64 b_2 a))
8.7b
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)

series35.0ms (0.3%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
24.0ms
a
@inf
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
1.0ms
a
@0
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
1.0ms
b_2
@inf
(/.f64 c (/.f64 b_2 a))
1.0ms
c
@0
(/.f64 c (/.f64 b_2 a))
1.0ms
a
@-inf
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))

rewrite67.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
617×log-prod_binary64
482×exp-prod_binary64
309×pow-prod-down_binary64
269×pow2_binary64
230×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
120030
2297030
Stop Event
node limit
Counts
3 → 149
Calls
Call 1
Inputs
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 c (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (/.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 (*.f64 c (/.f64 a b_2)) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 (*.f64 c (/.f64 a b_2)) a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 (*.f64 c (/.f64 a b_2)) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (*.f64 c (/.f64 a b_2)) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (*.f64 c (/.f64 a b_2)) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) (/.f64 a -1/2)) -1)))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 c (/.f64 a b_2)) 1/2) (*.f64 (*.f64 c (/.f64 a b_2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (/.f64 a b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 c b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (/.f64 a b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 c (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c c)) (*.f64 (cbrt.f64 c) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2))) (pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2))) 2) (cbrt.f64 (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (/.f64 a b_2))) (sqrt.f64 (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c) (/.f64 1 (/.f64 (neg.f64 b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b_2) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b_2) (/.f64 c (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 c c)) b_2) (/.f64 (cbrt.f64 c) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) b_2) (/.f64 (sqrt.f64 c) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 c c)) 1) (/.f64 (cbrt.f64 c) (/.f64 b_2 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#<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b_2 (*.f64 c a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 c (/.f64 a b_2)))) 2)) (cbrt.f64 (log.f64 (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 c (/.f64 a b_2))))) (sqrt.f64 (log.f64 (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c (/.f64 (neg.f64 b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (/.f64 a b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (/.f64 a b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 b_2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 c (/.f64 a b_2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (/.f64 a b_2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b_2 (*.f64 c a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a b_2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (/.f64 a b_2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 b_2 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 b_2 a) (*.f64 -1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 c) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 c)) (/.f64 (neg.f64 b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) 1) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (cbrt.f64 (pow.f64 (/.f64 b_2 a) 2))) (cbrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) -1/2) (/.f64 (neg.f64 b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 c)) (/.f64 (neg.f64 b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b_2 a) (*.f64 -1/2 c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))))))))

simplify84.0ms (0.8%)

Algorithm
egg-herbie
Rules
15×associate-/l*_binary64
12×*-commutative_binary64
associate-*l*_binary64
associate-/r/_binary64
associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010864
119864
234864
357864
480864
590864
Stop Event
saturated
Counts
257 → 154
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(/.f64 a (/.f64 b_2 c))
(*.f64 c (/.f64 a b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))

localize5.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
17.7b
(-.f64 (pow.f64 (sqrt.f64 b_2) 2) b_2)
0.3b
(pow.f64 (sqrt.f64 b_2) 2)
0.3b
(pow.f64 (sqrt.f64 b_2) 2)
17.7b
(-.f64 (pow.f64 (sqrt.f64 b_2) 2) b_2)

series8.0ms (0.1%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
5.0ms
b_2
@inf
(-.f64 (pow.f64 (sqrt.f64 b_2) 2) b_2)
1.0ms
b_2
@0
(-.f64 (pow.f64 (sqrt.f64 b_2) 2) b_2)
1.0ms
b_2
@-inf
(-.f64 (pow.f64 (sqrt.f64 b_2) 2) b_2)
1.0ms
b_2
@-inf
(pow.f64 (sqrt.f64 b_2) 2)
1.0ms
b_2
@0
(pow.f64 (sqrt.f64 b_2) 2)

rewrite34.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
451×pow1_binary64
442×add-sqr-sqrt_binary64
431×*-un-lft-identity_binary64
428×add-log-exp_binary64
426×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065
11352
214722
Stop Event
node limit
Counts
2 → 17
Calls
Call 1
Inputs
(-.f64 (pow.f64 (sqrt.f64 b_2) 2) b_2)
(pow.f64 (sqrt.f64 b_2) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b_2 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b_2) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b_2) (pow.f64 (cbrt.f64 b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b_2) (*.f64 (cbrt.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b_2) 2) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b_2 1/4) (*.f64 (pow.f64 b_2 1/4) (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 b_2) (pow.f64 b_2 1/4)) (pow.f64 b_2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 b_2) (cbrt.f64 b_2)) (cbrt.f64 (sqrt.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 b_2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 b_2 3))))) (#(struct:change #<rule egg-rr> (2) ((x . b_2)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 b_2))))))

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg_binary64
+-commutative_binary64
fma-def_binary64
*-commutative_binary64
associate-+l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049
169
289
399
4119
5159
6199
7249
Stop Event
saturated
Counts
20 → 19
Calls
Call 1
Inputs
(*.f64 -1 b_2)
(*.f64 -1 b_2)
(*.f64 -1 b_2)
Outputs
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)

localize34.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.5b
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
0.4b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
0.1b
(/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))))
0.1b
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
0.5b
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
5.3b
(/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))
13.0b
(sqrt.f64 (*.f64 a (neg.f64 c)))
17.4b
(-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))

series31.0ms (0.3%)

Counts
3 → 64
Calls

27 calls:

TimeVariablePointExpression
5.0ms
c
@inf
(/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))
4.0ms
c
@-inf
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
4.0ms
c
@-inf
(/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))
2.0ms
a
@inf
(/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))
2.0ms
a
@-inf
(/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))

rewrite103.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
737×log-prod_binary64
528×fma-neg_binary64
252×expm1-udef_binary64
252×log1p-udef_binary64
210×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01462
133941
2518741
Stop Event
node limit
Counts
3 → 193
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))
(/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
Outputs
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log1p.f64 (expm1.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))))))

simplify67.0ms (0.6%)

Algorithm
egg-herbie
Rules
910×times-frac_binary64
703×unswap-sqr_binary64
620×associate-/l*_binary64
520×fma-def_binary64
486×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01391345
14291133
216241062
364771062
Stop Event
node limit
Counts
257 → 243
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 c a))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (/.f64 b_2 (*.f64 c a))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))))
(+.f64 (*.f64 -1 (/.f64 b_2 (*.f64 c a))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (*.f64 -1 (/.f64 b_2 (*.f64 c a))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(*.f64 -2 (/.f64 b_2 (*.f64 c a)))
(+.f64 (*.f64 -2 (/.f64 b_2 (*.f64 c a))) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 (*.f64 c a))) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 c (*.f64 a (pow.f64 b_2 7))))))))
(*.f64 -2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -2 (/.f64 b_2 (*.f64 c a)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) b_2)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(*.f64 2 b_2)
(+.f64 (*.f64 2 b_2) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (*.f64 2 b_2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 2 b_2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(*.f64 2 b_2)
(*.f64 2 b_2)
Outputs
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (neg.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (/.f64 b_2 (*.f64 c a))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))))
(*.f64 -1 (+.f64 (/.f64 b_2 (*.f64 c a)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))))
(-.f64 (/.f64 (neg.f64 b_2) (*.f64 c a)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (sqrt.f64 -1)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (sqrt.f64 -1) (/.f64 (/.f64 b_2 c) a)))
(+.f64 (*.f64 -1 (/.f64 b_2 (*.f64 c a))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 -1 (/.f64 b_2 (*.f64 c a)) (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) -1/2)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (sqrt.f64 -1))) (/.f64 (/.f64 b_2 a) c))
(-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (*.f64 -1/2 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (sqrt.f64 -1) (/.f64 (/.f64 b_2 c) a)))
(+.f64 (*.f64 -1 (/.f64 b_2 (*.f64 c a))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(fma.f64 -1 (/.f64 b_2 (*.f64 c a)) (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(-.f64 (-.f64 (fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 5))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) -1/2))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (sqrt.f64 -1))) (/.f64 (/.f64 b_2 a) c))
(-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (*.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (sqrt.f64 -1) (/.f64 (/.f64 b_2 c) a)))
(*.f64 -2 (/.f64 b_2 (*.f64 c a)))
(/.f64 (*.f64 -2 b_2) (*.f64 c a))
(*.f64 (/.f64 -2 c) (/.f64 b_2 a))
(/.f64 -2 (/.f64 c (/.f64 b_2 a)))
(+.f64 (*.f64 -2 (/.f64 b_2 (*.f64 c a))) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)))
(fma.f64 -2 (/.f64 b_2 (*.f64 c a)) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)))
(fma.f64 (/.f64 (/.f64 b_2 a) c) -2 (/.f64 1/2 b_2))
(fma.f64 (/.f64 (/.f64 b_2 c) a) -2 (/.f64 1/2 b_2))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 (*.f64 c a))) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2))))
(fma.f64 1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 -2 (/.f64 b_2 (*.f64 c a)) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2))))
(fma.f64 1/8 (*.f64 (/.f64 c (pow.f64 b_2 3)) (*.f64 a 1)) (fma.f64 (/.f64 (/.f64 b_2 a) c) -2 (/.f64 1/2 b_2)))
(fma.f64 (/.f64 (/.f64 b_2 c) a) -2 (fma.f64 1/8 (*.f64 a (/.f64 c (pow.f64 b_2 3))) (/.f64 1/2 b_2)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 -2 (/.f64 b_2 (*.f64 c a)) (fma.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2) (*.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a))))))))
(fma.f64 1/8 (*.f64 (/.f64 c (pow.f64 b_2 3)) (*.f64 a 1)) (fma.f64 (/.f64 (/.f64 b_2 a) c) -2 (fma.f64 -1/16 (/.f64 (*.f64 (*.f64 a a) (*.f64 c (neg.f64 c))) (pow.f64 b_2 5)) (/.f64 1/2 b_2))))
(fma.f64 (/.f64 (/.f64 b_2 c) a) -2 (fma.f64 1/8 (*.f64 a (/.f64 c (pow.f64 b_2 3))) (fma.f64 -1/16 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 (*.f64 c c) (pow.f64 b_2 5))) (/.f64 1/2 b_2))))
(*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2) 1/2)
(/.f64 -1/2 b_2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)))
(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2) 1/2))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) (*.f64 a 1)) -1/8 (/.f64 -1/2 b_2))
(fma.f64 (*.f64 a (/.f64 c (pow.f64 b_2 3))) -1/8 (/.f64 -1/2 b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2))))
(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a)))) (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2) 1/2)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) (*.f64 a 1)) -1/8 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c (neg.f64 c))) (pow.f64 b_2 5)) 1/16 (/.f64 -1/2 b_2)))
(fma.f64 (*.f64 a (/.f64 c (pow.f64 b_2 3))) -1/8 (fma.f64 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 (*.f64 c c) (pow.f64 b_2 5))) 1/16 (/.f64 -1/2 b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 c (*.f64 a (pow.f64 b_2 7))))))))
(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a)))) (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 c (*.f64 a (pow.f64 b_2 7))))))))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) (*.f64 a 1)) -1/8 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 c (neg.f64 c))) (pow.f64 b_2 5)) 1/16 (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 1 (*.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (*.f64 (*.f64 a (*.f64 a 1)) (*.f64 (*.f64 c c) -1/8)) 2)) (*.f64 (*.f64 c a) (pow.f64 b_2 7))) (/.f64 -1/2 b_2))))
(fma.f64 (*.f64 a (/.f64 c (pow.f64 b_2 3))) -1/8 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 1/16 (pow.f64 c 4)))) (*.f64 c (*.f64 a (pow.f64 b_2 7)))) (fma.f64 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 (*.f64 c c) (pow.f64 b_2 5))) 1/16 (/.f64 -1/2 b_2))))
(*.f64 -2 (/.f64 b_2 (*.f64 c a)))
(/.f64 (*.f64 -2 b_2) (*.f64 c a))
(*.f64 (/.f64 -2 c) (/.f64 b_2 a))
(/.f64 -2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -2 (/.f64 b_2 (*.f64 c a)))
(/.f64 (*.f64 -2 b_2) (*.f64 c a))
(*.f64 (/.f64 -2 c) (/.f64 b_2 a))
(/.f64 -2 (/.f64 c (/.f64 b_2 a)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2)
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a)) b_2)
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) b_2))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) 1/2) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a)) b_2))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(+.f64 (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) 1/2))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a)) b_2))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) 1/2) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (*.f64 (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1))) -1/8) b_2)))
(*.f64 2 b_2)
(*.f64 b_2 2)
(+.f64 (*.f64 2 b_2) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(fma.f64 2 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)))
(fma.f64 1/2 (/.f64 (neg.f64 c) (/.f64 b_2 a)) (*.f64 b_2 2))
(fma.f64 1/2 (*.f64 (/.f64 (neg.f64 a) b_2) c) (*.f64 b_2 2))
(+.f64 (*.f64 2 b_2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2))))
(fma.f64 b_2 2 (fma.f64 1/2 (/.f64 (neg.f64 c) (/.f64 b_2 a)) (/.f64 (*.f64 (*.f64 a (*.f64 a 1)) (*.f64 (*.f64 c c) -1/8)) (pow.f64 b_2 3))))
(fma.f64 b_2 2 (fma.f64 1/2 (*.f64 (/.f64 (neg.f64 a) b_2) c) (/.f64 -1/8 (/.f64 (/.f64 (pow.f64 b_2 3) (*.f64 a (*.f64 c c))) a))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (*.f64 2 b_2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 b_2 5)) (fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)))))
(fma.f64 1/16 (/.f64 (*.f64 -1 (pow.f64 a 3)) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 b_2 2 (fma.f64 1/2 (/.f64 (neg.f64 c) (/.f64 b_2 a)) (/.f64 (*.f64 (*.f64 a (*.f64 a 1)) (*.f64 (*.f64 c c) -1/8)) (pow.f64 b_2 3)))))
(fma.f64 b_2 2 (fma.f64 1/16 (*.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 1/2 (*.f64 (/.f64 (neg.f64 a) b_2) c) (/.f64 -1/8 (/.f64 (/.f64 (pow.f64 b_2 3) (*.f64 a (*.f64 c c))) a)))))
(fma.f64 b_2 2 (fma.f64 1/16 (*.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 1/2 (*.f64 (/.f64 (neg.f64 a) b_2) c) (/.f64 -1/8 (/.f64 (/.f64 (pow.f64 b_2 3) (*.f64 a (*.f64 c c))) a)))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2))
(*.f64 -1/2 (/.f64 (neg.f64 c) (/.f64 b_2 a)))
(*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)))
(fma.f64 -1/2 (/.f64 (neg.f64 c) (/.f64 b_2 a)) (/.f64 (*.f64 (*.f64 1/8 (*.f64 c c)) (*.f64 a (*.f64 a 1))) (pow.f64 b_2 3)))
(fma.f64 -1/2 (*.f64 (/.f64 (neg.f64 a) b_2) c) (/.f64 1/8 (/.f64 (/.f64 (pow.f64 b_2 3) (*.f64 a (*.f64 c c))) a)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 3)) (fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 b_2 5)) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) (fma.f64 -1/16 (/.f64 (*.f64 -1 (pow.f64 a 3)) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (*.f64 -1/2 (/.f64 (neg.f64 c) (/.f64 b_2 a)))))
(fma.f64 -1/16 (*.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/2 (*.f64 (/.f64 (neg.f64 a) b_2) c) (/.f64 1/8 (/.f64 (/.f64 (pow.f64 b_2 3) (*.f64 a (*.f64 c c))) a))))
(fma.f64 -1/16 (*.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/2 (*.f64 (/.f64 (neg.f64 a) b_2) c) (/.f64 1/8 (/.f64 (/.f64 (pow.f64 b_2 3) (*.f64 a (*.f64 c c))) a))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 3)) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 b_2 5)) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (*.f64 1 (*.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (*.f64 (*.f64 a (*.f64 a 1)) (*.f64 (*.f64 c c) -1/8)) 2)) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (*.f64 -1 (pow.f64 a 3)) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (*.f64 -1/2 (/.f64 (neg.f64 c) (/.f64 b_2 a))))))
(fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (*.f64 (/.f64 (neg.f64 a) b_2) c) (fma.f64 -1/16 (*.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (*.f64 (/.f64 1/2 (pow.f64 b_2 7)) (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 1/16 (pow.f64 c 4))))))))
(fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (*.f64 (/.f64 (neg.f64 a) b_2) c) (fma.f64 -1/16 (*.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (*.f64 (/.f64 1/2 (pow.f64 b_2 7)) (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 1/16 (pow.f64 c 4))))))))
(*.f64 2 b_2)
(*.f64 b_2 2)
(*.f64 2 b_2)
(*.f64 b_2 2)

eval194.0ms (1.8%)

Compiler

Compiled 15992 to 6092 computations (61.9% saved)

prune143.0ms (1.3%)

Pruning

29 alts after pruning (21 fresh and 8 done)

PrunedKeptTotal
New65512667
Fresh5914
Picked101
Done189
Total66229691
Error
0.0b
Counts
691 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
43.9b
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))))
46.1b
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
59.3b
(/.f64 (neg.f64 b_2) a)
44.8b
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) a)
42.6b
(/.f64 (/.f64 1 (fma.f64 (/.f64 (/.f64 b_2 c) a) -2 (/.f64 1/2 b_2))) a)
45.0b
(fma.f64 -2 (/.f64 b_2 a) (/.f64 1/2 (/.f64 b_2 c)))
38.0b
(*.f64 -1/2 (/.f64 c b_2))
44.9b
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
62.5b
(/.f64 (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
42.6b
(*.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a) (/.f64 1 a))
38.3b
(/.f64 -1/2 (/.f64 b_2 c))
33.9b
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)
33.9b
(*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) (/.f64 1 a))
46.2b
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 a (neg.f64 c)) 1/4) 2) b_2) a)
45.0b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
34.0b
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
47.5b
(*.f64 (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2) (/.f64 1 a))
34.9b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
43.2b
(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) b_2) a)
38.1b
(*.f64 c (/.f64 -1/2 b_2))
46.0b
(/.f64 (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2) a)
44.8b
(/.f64 (*.f64 -2 b_2) a)
42.5b
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a)
44.8b
(*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))
47.5b
(/.f64 (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2) a)
58.9b
(/.f64 0 a)
35.9b
(/.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 3)) b_2) a)
44.8b
(/.f64 (/.f64 1 (/.f64 -1/2 b_2)) a)
36.4b
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (*.f64 c (neg.f64 a)))) a)
Compiler

Compiled 699 to 480 computations (31.3% saved)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
13.0b
(sqrt.f64 (neg.f64 (*.f64 a c)))
1.2b
(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
0.2b
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
0.1b
(/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2))
0.1b
(/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2))
0.2b
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
1.2b
(-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)
13.0b
(sqrt.f64 (neg.f64 (*.f64 a c)))

series65.0ms (0.6%)

Counts
2 → 24
Calls

18 calls:

TimeVariablePointExpression
8.0ms
c
@inf
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
8.0ms
c
@-inf
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
8.0ms
a
@inf
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
6.0ms
a
@-inf
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
6.0ms
c
@0
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)

rewrite62.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
669×prod-diff_binary64
622×log-prod_binary64
313×pow2_binary64
262×fma-def_binary64
217×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01237
126330
2357530
Stop Event
node limit
Counts
2 → 87
Calls
Call 1
Inputs
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
(/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) 2) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)) (sqrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2))) 2)) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 1) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))) b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 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simplify52.0ms (0.5%)

Algorithm
egg-herbie
Rules
761×associate-/r*_binary64
544×distribute-rgt-in_binary64
536×distribute-lft-in_binary64
339×associate-*r*_binary64
247×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02251902
17381434
235171275
Stop Event
node limit
Counts
111 → 134
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 -1 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (pow.f64 b_2 2))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 -1 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (pow.f64 b_2 2))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b_2 3) (+.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a 3))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 -1 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a))))) (*.f64 c (pow.f64 (sqrt.f64 -1) 2))) a)))))) (*.f64 -1 (/.f64 b_2 a)))))
(*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (+.f64 (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))) (*.f64 -1/32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (+.f64 (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))) (*.f64 -1/32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))))) (pow.f64 b_2 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 c 2) (*.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a (+.f64 (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (*.f64 1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))))) (pow.f64 (sqrt.f64 -1) 4)))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a (+.f64 (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))))) (*.f64 -1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (+.f64 (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))))))) (*.f64 -1/32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))))))))))) (pow.f64 b_2 7))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -4 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4)))) (*.f64 1/128 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))))) (*.f64 (pow.f64 a 2) (pow.f64 b_2 5)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a))) (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a))))))) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))))))
(*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 b_2 2))) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 b_2 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a))))) (pow.f64 b_2 3))) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -1))))))
(*.f64 2 (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (*.f64 1/2 (/.f64 a b_2)) (*.f64 2 (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (*.f64 1/2 (/.f64 a b_2)) (+.f64 (*.f64 2 (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3)))))
(+.f64 (*.f64 1/2 (/.f64 a b_2)) (+.f64 (*.f64 2 (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a (+.f64 (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (*.f64 1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))))) (pow.f64 b_2 5))))))
(*.f64 -1/2 (/.f64 a b_2))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 a b_2)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 a b_2))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 1/128 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 a b_2))))))
Outputs
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 -1 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (pow.f64 b_2 2))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 (/.f64 b_2 a))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1))) (/.f64 c (/.f64 a (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (pow.f64 (sqrt.f64 -1) 2)))))) (*.f64 b_2 b_2)) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a))))
(fma.f64 (*.f64 1 (+.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (sqrt.f64 -1)) (*.f64 (/.f64 c a) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (*.f64 (/.f64 -1 (sqrt.f64 -1)) 1/2))))) (*.f64 b_2 b_2) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (/.f64 b_2 a))))
(fma.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (sqrt.f64 -1)) (*.f64 (/.f64 c a) (/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3)))) (neg.f64 (sqrt.f64 -1))))) (*.f64 b_2 b_2) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 -1 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (pow.f64 b_2 2))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b_2 3) (+.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a 3))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1)))) (*.f64 -1 (/.f64 (*.f64 c (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 (sqrt.f64 -1) 2))) a))) (sqrt.f64 -1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a))))) (*.f64 c (pow.f64 (sqrt.f64 -1) 2))) a)))))) (*.f64 -1 (/.f64 b_2 a)))))
(fma.f64 -1 (*.f64 (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1))) (/.f64 c (/.f64 a (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (pow.f64 (sqrt.f64 -1) 2)))))) (*.f64 b_2 b_2)) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (fma.f64 -1 (*.f64 (pow.f64 b_2 3) (fma.f64 (sqrt.f64 (/.f64 c (pow.f64 a 3))) (*.f64 (sqrt.f64 -1) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2)) (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -1))) (/.f64 c (/.f64 a (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (pow.f64 (sqrt.f64 -1) 2)))))) (sqrt.f64 -1))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -1) 4))))) (/.f64 a (*.f64 c (pow.f64 (sqrt.f64 -1) 2)))))))) (neg.f64 (/.f64 b_2 a)))))
(fma.f64 (*.f64 1 (+.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (sqrt.f64 -1)) (*.f64 (/.f64 c a) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (*.f64 (/.f64 -1 (sqrt.f64 -1)) 1/2))))) (*.f64 b_2 b_2) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (neg.f64 (fma.f64 (pow.f64 b_2 3) (fma.f64 (sqrt.f64 (/.f64 c (pow.f64 a 3))) (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (*.f64 (/.f64 -1 (sqrt.f64 -1)) -1/2))) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 c a) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (*.f64 (/.f64 -1 (sqrt.f64 -1)) 1/2)))) (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (sqrt.f64 -1))) (sqrt.f64 -1)) (/.f64 (*.f64 c (neg.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 -1 (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) -1/2)) (/.f64 1/2 (*.f64 (*.f64 c c) (*.f64 a 1)))))) a)))) (/.f64 b_2 a)))))
(-.f64 (fma.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (sqrt.f64 -1)) (*.f64 (/.f64 c a) (/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3)))) (neg.f64 (sqrt.f64 -1))))) (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (fma.f64 (pow.f64 b_2 3) (fma.f64 (sqrt.f64 (/.f64 c (pow.f64 a 3))) (*.f64 (sqrt.f64 -1) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) -1/2) (neg.f64 (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (sqrt.f64 -1)) (*.f64 (/.f64 c a) (/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3)))) (neg.f64 (sqrt.f64 -1))))) (sqrt.f64 -1)) (/.f64 (*.f64 1 (*.f64 c (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) -1/2) 1) (/.f64 1/2 (*.f64 c (*.f64 c a)))))) a))) (/.f64 b_2 a)))
(*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))))
(fma.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2) (*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4))))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a 1))) (/.f64 (*.f64 -1/2 c) b_2))
(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 c a))) (/.f64 (*.f64 -1/2 c) b_2))
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(+.f64 (*.f64 1/2 (/.f64 a b_2)) (+.f64 (*.f64 2 (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3)))))
(fma.f64 1/2 (/.f64 a b_2) (fma.f64 2 (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2))) (neg.f64 (/.f64 (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a))) 1/8) (pow.f64 b_2 3)))))
(-.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) (*.f64 1/8 (*.f64 (/.f64 c (pow.f64 b_2 3)) (*.f64 a (*.f64 a -1)))))
(fma.f64 1/2 (/.f64 a b_2) (fma.f64 -2 (/.f64 b_2 c) (/.f64 (*.f64 (*.f64 a a) (*.f64 c 1/8)) (pow.f64 b_2 3))))
(+.f64 (*.f64 1/2 (/.f64 a b_2)) (+.f64 (*.f64 2 (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a (+.f64 (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (*.f64 1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))))) (pow.f64 b_2 5))))))
(fma.f64 1/2 (/.f64 a b_2) (fma.f64 2 (/.f64 b_2 (*.f64 c (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a))) 1/8) (pow.f64 b_2 3)) (/.f64 (fma.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a))) 1/8)))) (fma.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/16 (*.f64 (*.f64 c c) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 4)))))) (pow.f64 b_2 5))))))
(fma.f64 1/2 (/.f64 a b_2) (-.f64 (-.f64 (*.f64 -2 (/.f64 b_2 c)) (*.f64 1/8 (*.f64 (/.f64 c (pow.f64 b_2 3)) (*.f64 a (*.f64 a -1))))) (/.f64 (fma.f64 1/4 (*.f64 c (*.f64 a (neg.f64 (*.f64 (*.f64 c -1) (*.f64 (*.f64 a a) 1/8))))) (fma.f64 -2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 1 (pow.f64 a 4))) (pow.f64 (*.f64 a (*.f64 (*.f64 (*.f64 c c) (*.f64 a 1)) -1/8)) 2)) (*.f64 (*.f64 c c) (*.f64 a 1))) (*.f64 (*.f64 (*.f64 (*.f64 1/16 c) c) 1) (pow.f64 a 3)))) (pow.f64 b_2 5))))
(-.f64 (fma.f64 1/2 (/.f64 a b_2) (fma.f64 -2 (/.f64 b_2 c) (/.f64 (*.f64 (*.f64 a a) (*.f64 c 1/8)) (pow.f64 b_2 3)))) (/.f64 (fma.f64 1/4 (*.f64 c (*.f64 a (*.f64 (*.f64 a a) (*.f64 c 1/8)))) (fma.f64 -2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 1/16 (pow.f64 c 4)))) (*.f64 c (*.f64 c a))) (*.f64 (pow.f64 a 3) (*.f64 (*.f64 c c) 1/16)))) (pow.f64 b_2 5)))
(*.f64 -1/2 (/.f64 a b_2))
(/.f64 -1/2 (/.f64 b_2 a))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 a b_2)))
(fma.f64 1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a)))) (*.f64 -1/2 (/.f64 a b_2)))
(fma.f64 1/8 (*.f64 (/.f64 c (pow.f64 b_2 3)) (*.f64 a (*.f64 a -1))) (/.f64 -1/2 (/.f64 b_2 a)))
(fma.f64 -1/2 (/.f64 a b_2) (*.f64 (/.f64 1/8 (pow.f64 b_2 3)) (*.f64 (neg.f64 c) (*.f64 a a))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 a b_2))))
(fma.f64 1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a)))) (fma.f64 -1/16 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 5)) (*.f64 -1/2 (/.f64 a b_2))))
(fma.f64 1/8 (*.f64 (/.f64 c (pow.f64 b_2 3)) (*.f64 a (*.f64 a -1))) (fma.f64 -1/2 (/.f64 a b_2) (*.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 5)) (*.f64 (pow.f64 a 3) 1)))))
(fma.f64 1/8 (*.f64 (/.f64 c (pow.f64 b_2 3)) (*.f64 a (neg.f64 a))) (fma.f64 -1/2 (/.f64 a b_2) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 a 3) (*.f64 c c)))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (*.f64 1/128 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4))) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 a b_2))))))
(fma.f64 1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a)))) (fma.f64 1/128 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 7) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4)))) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 7) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4)))) (fma.f64 -1/16 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 5)) (*.f64 -1/2 (/.f64 a b_2))))))
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 7)) (*.f64 -1 (pow.f64 a 4))) 5/128) (fma.f64 1/8 (*.f64 (/.f64 c (pow.f64 b_2 3)) (*.f64 a (*.f64 a -1))) (fma.f64 -1/2 (/.f64 a b_2) (*.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 5)) (*.f64 (pow.f64 a 3) 1))))))
(+.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 a 4)) (/.f64 (pow.f64 b_2 7) (pow.f64 c 3))) 5/128) (fma.f64 1/8 (*.f64 (/.f64 c (pow.f64 b_2 3)) (*.f64 a (neg.f64 a))) (fma.f64 -1/2 (/.f64 a b_2) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 a 3) (*.f64 c c))))))

localize3.0ms (0%)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
8.7b
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) a)
3.7b
(/.f64 b_2 (*.f64 c a))
0.8b
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
0.8b
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
3.7b
(/.f64 b_2 (*.f64 c a))
8.7b
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) a)

series27.0ms (0.3%)

Counts
3 → 72
Calls

27 calls:

TimeVariablePointExpression
18.0ms
b_2
@0
(/.f64 b_2 (*.f64 c a))
1.0ms
b_2
@-inf
(/.f64 b_2 (*.f64 c a))
1.0ms
b_2
@inf
(/.f64 b_2 (*.f64 c a))
0.0ms
c
@-inf
(/.f64 b_2 (*.f64 c a))
0.0ms
a
@0
(/.f64 b_2 (*.f64 c a))

rewrite73.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
597×log-prod_binary64
457×exp-prod_binary64
342×pow-prod-down_binary64
272×pow2_binary64
218×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
120330
2298930
Stop Event
node limit
Counts
3 → 155
Calls
Call 1
Inputs
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) a)
(/.f64 b_2 (*.f64 c a))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (/.f64 c (/.f64 b_2 a)) a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (/.f64 c (/.f64 b_2 a)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (/.f64 c (/.f64 b_2 a)) a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (/.f64 c (/.f64 b_2 a)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (/.f64 c (/.f64 b_2 a)) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) 2) (*.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) (*.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a))) (sqrt.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 b_2) (*.f64 (*.f64 c a) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) 1) (/.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 b_2) 1) (/.f64 (*.f64 c a) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (/.f64 c (/.f64 b_2 a)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 b_2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 c a) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 a)) (/.f64 (/.f64 c (/.f64 b_2 a)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 b_2) (sqrt.f64 a)) (/.f64 (*.f64 c a) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (pow.f64 (/.f64 a (/.f64 c (/.f64 b_2 a))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (/.f64 a (/.f64 c (/.f64 b_2 a)))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 a (/.f64 c (/.f64 b_2 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) -2) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (/.f64 c (/.f64 b_2 a))) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -2 (/.f64 a (/.f64 c (/.f64 b_2 a)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a)))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a))))) (sqrt.f64 (log.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 a (/.f64 c (/.f64 b_2 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (/.f64 c (/.f64 b_2 a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 a (/.f64 c (/.f64 b_2 a)))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 a (/.f64 c (/.f64 b_2 a))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 (/.f64 c (/.f64 b_2 a)) a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b_2 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b_2 (*.f64 c a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b_2 (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b_2 (*.f64 c a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b_2 (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b_2 (*.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b_2 (/.f64 (pow.f64 a -1) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b_2 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b_2 b_2)) (*.f64 (cbrt.f64 b_2) (/.f64 (pow.f64 a -1) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b_2 (*.f64 c a))) (cbrt.f64 (pow.f64 (/.f64 c (/.f64 b_2 a)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 c (/.f64 b_2 a)) -2)) (cbrt.f64 (/.f64 b_2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b_2) (*.f64 (sqrt.f64 b_2) (/.f64 (pow.f64 a -1) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b_2 (*.f64 c a))) (sqrt.f64 (/.f64 b_2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b_2) (/.f64 1 (*.f64 c (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1) (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a -1) c) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 c) (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b_2 b_2)) 1) (/.f64 (cbrt.f64 b_2) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b_2) 1) (/.f64 (sqrt.f64 b_2) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b_2) c) (/.f64 (sqrt.f64 b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 c) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b_2 b_2)) c) (/.f64 (cbrt.f64 b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b_2) a) (/.f64 (sqrt.f64 b_2) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b_2 b_2)) a) (/.f64 (cbrt.f64 b_2) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) -2) (/.f64 b_2 (cbrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b_2 b_2)) (cbrt.f64 (pow.f64 (*.f64 c a) 2))) (cbrt.f64 (/.f64 b_2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b_2) (cbrt.f64 (pow.f64 (*.f64 c a) 2))) (/.f64 (sqrt.f64 b_2) (cbrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) -1/2) (/.f64 b_2 (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule 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(pow.f64 (cbrt.f64 (log.f64 (/.f64 b_2 (*.f64 c a)))) 2)) (cbrt.f64 (log.f64 (/.f64 b_2 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 b_2 (*.f64 c a))))) (sqrt.f64 (log.f64 (/.f64 b_2 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b_2 (*.f64 c (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 c (/.f64 b_2 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b_2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b_2 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c (/.f64 b_2 a)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b_2 3) (pow.f64 (*.f64 c a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b_2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b_2 (*.f64 c a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 c (/.f64 b_2 a)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 b_2 (*.f64 c a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 b_2 (*.f64 c a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c (/.f64 b_2 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 b_2 (*.f64 c a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b_2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b_2 (*.f64 c a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c (/.f64 b_2 a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c (/.f64 b_2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c (/.f64 b_2 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c (/.f64 b_2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c a) (/.f64 -1/2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) (sqrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (/.f64 (neg.f64 b_2) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (/.f64 b_2 a)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 b_2) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (neg.f64 b_2)) (*.f64 c (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 b_2 c)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 b_2) c) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 b_2) a) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 b_2) 1) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 b_2) (cbrt.f64 (pow.f64 (*.f64 c a) 2))) (cbrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 b_2) (sqrt.f64 (*.f64 c a))) (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (/.f64 c (/.f64 b_2 a)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))) (sqrt.f64 (log.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (/.f64 c (/.f64 b_2 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))))))

simplify26.0ms (0.2%)

Algorithm
egg-herbie
Rules
15×associate-/l*_binary64
12×*-commutative_binary64
associate-*l*_binary64
associate-/r/_binary64
associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010612
119612
234612
357612
480612
590612
Stop Event
saturated
Counts
227 → 159
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(*.f64 (/.f64 c b_2) (*.f64 -1/2 a))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
15.7b
(/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))
6.7b
(*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a))
0.4b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
0.1b
(/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))))
0.4b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
6.7b
(*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a))
15.7b
(/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))
17.4b
(-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))

series6.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
c
@0
(/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))
0.0ms
b_2
@0
(/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))
0.0ms
b_2
@0
(*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a))
0.0ms
b_2
@inf
(/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))
0.0ms
b_2
@-inf
(/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))

rewrite73.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
593×fma-def_binary64
350×fma-neg_binary64
278×expm1-udef_binary64
278×log1p-udef_binary64
248×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01442
133736
2537136
Stop Event
node limit
Counts
2 → 76
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))
(*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 c b_2)) (/.f64 1 (/.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 a (/.f64 1 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 (*.f64 -1/2 (/.f64 c b_2)) (/.f64 1 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) (/.f64 1 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) (/.f64 1 (neg.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a)) 2) (cbrt.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) 2) (*.f64 (cbrt.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) (/.f64 1 (-.f64 (*.f64 b_2 b_2) 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#<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) 1) (/.f64 (sqrt.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) 2)) (/.f64 a (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) 2)) (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) 2)) (/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) 2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) 2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) 2)) (/.f64 (sqrt.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) 2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))))) (/.f64 (cbrt.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) 3) (pow.f64 b_2 6))) (fma.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) 2) (pow.f64 b_2 4))) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 -2 (/.f64 b_2 c)) (/.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 -1/2 (/.f64 c b_2)) (-.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c -1/2) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 -2 (/.f64 b_2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) (*.f64 b_2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (*.f64 c (*.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (*.f64 -1/2 a)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (*.f64 -1/2 a)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (*.f64 -1/2 a)) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (*.f64 -1/2 a)) (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (*.f64 -1/2 a)) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c 1/2) a) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 c 1/2)) (neg.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (*.f64 -1/2 (/.f64 c b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 -1/2 (/.f64 c b_2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))))))))

simplify23.0ms (0.2%)

Algorithm
egg-herbie
Rules
15×associate-/l*_binary64
14×*-commutative_binary64
11×associate-/r/_binary64
10×associate-*r*_binary64
associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010504
116504
231504
357504
487504
598504
Stop Event
saturated
Counts
148 → 79
Calls
Call 1
Inputs
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
Outputs
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(/.f64 -1/2 b_2)
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 1/2 (*.f64 (/.f64 c b_2) a))
(*.f64 1/2 (*.f64 a (/.f64 c b_2)))
(*.f64 a (*.f64 1/2 (/.f64 c b_2)))
(*.f64 1/2 (*.f64 c (/.f64 a b_2)))

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
8.0b
(/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (*.f64 c (neg.f64 a)))
2.8b
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (*.f64 c (neg.f64 a)))) a)
0.5b
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
0.4b
(/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (*.f64 c (neg.f64 a))))
0.5b
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
2.8b
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (*.f64 c (neg.f64 a)))) a)
8.0b
(/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (*.f64 c (neg.f64 a)))
13.0b
(sqrt.f64 (*.f64 a (neg.f64 c)))

series30.0ms (0.3%)

Counts
2 → 28
Calls

18 calls:

TimeVariablePointExpression
5.0ms
c
@inf
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (*.f64 c (neg.f64 a)))) a)
5.0ms
c
@-inf
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (*.f64 c (neg.f64 a)))) a)
4.0ms
a
@inf
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (*.f64 c (neg.f64 a)))) a)
4.0ms
a
@-inf
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (*.f64 c (neg.f64 a)))) a)
1.0ms
b_2
@-inf
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (*.f64 c (neg.f64 a)))) a)

rewrite94.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
714×prod-diff_binary64
237×fma-def_binary64
231×expm1-udef_binary64
231×log1p-udef_binary64
200×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01550
133239
2500039
Stop Event
node limit
Counts
2 → 88
Calls
Call 1
Inputs
(/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (*.f64 c (neg.f64 a)))
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (*.f64 c (neg.f64 a)))) a)
Outputs
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simplify43.0ms (0.4%)

Algorithm
egg-herbie
Rules
809×fma-def_binary64
694×associate-/l*_binary64
691×associate-/r*_binary64
514×*-commutative_binary64
271×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01781311
15541042
22292926
Stop Event
node limit
Counts
116 → 135
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (/.f64 b_2 (*.f64 c a))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))))
(+.f64 (*.f64 -1 (/.f64 b_2 (*.f64 c a))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (*.f64 -1 (/.f64 b_2 (*.f64 c a))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(*.f64 -2 (/.f64 b_2 (*.f64 c a)))
(+.f64 (*.f64 -2 (/.f64 b_2 (*.f64 c a))) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 (*.f64 c a))) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 c (*.f64 a (pow.f64 b_2 7))))))))
(*.f64 -2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 b_2 2))))
(+.f64 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))) (pow.f64 b_2 3))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 b_2 2)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (*.f64 1/128 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 7))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 7)))))))
(*.f64 2 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
(+.f64 (*.f64 2 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (*.f64 1/2 (/.f64 c b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (*.f64 2 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))) (pow.f64 b_2 3))) (+.f64 (*.f64 1/2 (/.f64 c b_2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))))))))) (pow.f64 b_2 5))))))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
Outputs
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (neg.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (/.f64 b_2 (*.f64 c a))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))))
(*.f64 -1 (+.f64 (/.f64 b_2 (*.f64 c a)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (neg.f64 (sqrt.f64 -1))) (/.f64 b_2 (*.f64 c a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1) (/.f64 b_2 (*.f64 c a))))
(+.f64 (*.f64 -1 (/.f64 b_2 (*.f64 c a))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 -1 (/.f64 b_2 (*.f64 c a)) (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(-.f64 (-.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))) (/.f64 b_2 (*.f64 c a)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 -1/2 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2))) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1) (/.f64 b_2 (*.f64 c a))))
(+.f64 (*.f64 -1 (/.f64 b_2 (*.f64 c a))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(fma.f64 -1 (/.f64 b_2 (*.f64 c a)) (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(-.f64 (-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1)))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1))) (/.f64 b_2 (*.f64 c a)))
(-.f64 (fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 -1/2 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)))) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1) (/.f64 b_2 (*.f64 c a))))
(*.f64 -2 (/.f64 b_2 (*.f64 c a)))
(*.f64 (/.f64 b_2 (*.f64 c a)) -2)
(*.f64 (/.f64 -2 c) (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) (/.f64 -2 c))
(+.f64 (*.f64 -2 (/.f64 b_2 (*.f64 c a))) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)))
(fma.f64 -2 (/.f64 b_2 (*.f64 c a)) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)))
(fma.f64 (/.f64 b_2 (*.f64 c a)) -2 (/.f64 1/2 b_2))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 (*.f64 c a))) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2))))
(fma.f64 1/8 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)) (fma.f64 -2 (/.f64 b_2 (*.f64 c a)) (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2))))
(fma.f64 1/8 (*.f64 (/.f64 c (pow.f64 b_2 3)) (*.f64 1 a)) (fma.f64 (/.f64 b_2 (*.f64 c a)) -2 (/.f64 1/2 b_2)))
(fma.f64 (/.f64 b_2 (*.f64 c a)) -2 (fma.f64 1/8 (*.f64 a (/.f64 c (pow.f64 b_2 3))) (/.f64 1/2 b_2)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -2 (/.f64 b_2 (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)) (fma.f64 -2 (/.f64 b_2 (*.f64 c a)) (fma.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2) (*.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a))))))))
(fma.f64 1/8 (*.f64 (/.f64 c (pow.f64 b_2 3)) (*.f64 1 a)) (fma.f64 (/.f64 b_2 (*.f64 c a)) -2 (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 5)) (*.f64 -1 (*.f64 a a))) (/.f64 1/2 b_2))))
(fma.f64 (/.f64 b_2 (*.f64 c a)) -2 (fma.f64 1/8 (*.f64 a (/.f64 c (pow.f64 b_2 3))) (fma.f64 -1/16 (/.f64 (*.f64 (*.f64 a a) (neg.f64 (*.f64 c c))) (pow.f64 b_2 5)) (/.f64 1/2 b_2))))
(*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2))
(/.f64 (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)) b_2)
(/.f64 -1/2 b_2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)) (/.f64 (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)) b_2))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) (*.f64 1 a)) -1/8 (/.f64 -1/2 b_2))
(fma.f64 (*.f64 a (/.f64 c (pow.f64 b_2 3))) -1/8 (/.f64 -1/2 b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a)))) (/.f64 (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) (*.f64 1 a)) -1/8 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 5)) (*.f64 -1 (*.f64 a a))) 1/16 (/.f64 -1/2 b_2)))
(fma.f64 (/.f64 (*.f64 (*.f64 a a) (neg.f64 (*.f64 c c))) (pow.f64 b_2 5)) 1/16 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b_2 3))) -1/8 (/.f64 -1/2 b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2)) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 c (*.f64 a (pow.f64 b_2 7))))))))
(fma.f64 -1/8 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 4))) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (*.f64 a a)))) (fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) b_2) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 c (*.f64 a (pow.f64 b_2 7))))))))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) (*.f64 1 a)) -1/8 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 5)) (*.f64 -1 (*.f64 a a))) 1/16 (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 1 (pow.f64 a 4))) (pow.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a (*.f64 1 a)) -1/8)) 2)) (*.f64 c (*.f64 a (pow.f64 b_2 7)))) (/.f64 -1/2 b_2))))
(fma.f64 (*.f64 a (/.f64 c (pow.f64 b_2 3))) -1/8 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 1/16 (pow.f64 c 4)))) (*.f64 (*.f64 c a) (pow.f64 b_2 7))) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (neg.f64 (*.f64 c c))) (pow.f64 b_2 5)) 1/16 (/.f64 -1/2 b_2))))
(*.f64 -2 (/.f64 b_2 (*.f64 c a)))
(*.f64 (/.f64 b_2 (*.f64 c a)) -2)
(*.f64 (/.f64 -2 c) (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) (/.f64 -2 c))
(*.f64 -2 (/.f64 b_2 (*.f64 c a)))
(*.f64 (/.f64 b_2 (*.f64 c a)) -2)
(*.f64 (/.f64 -2 c) (/.f64 b_2 a))
(*.f64 (/.f64 b_2 a) (/.f64 -2 c))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -1))
(/.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (/.f64 b_2 (*.f64 -1 a)) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(-.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 b_2 2))))
(+.f64 (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1))) (*.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2))))
(+.f64 (-.f64 (/.f64 b_2 (*.f64 -1 a)) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (/.f64 -1 (sqrt.f64 -1)) -1/2))))
(-.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1/2 (sqrt.f64 -1)))) (/.f64 b_2 (neg.f64 a))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))) (pow.f64 b_2 3))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (pow.f64 b_2 2)))))
(+.f64 (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1 (*.f64 (pow.f64 b_2 3) (-.f64 (/.f64 1/2 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (sqrt.f64 -1)))))) (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -1))) (*.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2)))))
(+.f64 (/.f64 b_2 (*.f64 -1 a)) (-.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (/.f64 -1 (sqrt.f64 -1)) -1/2))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 (pow.f64 b_2 3) (+.f64 (/.f64 (/.f64 1/2 (*.f64 a (*.f64 1 a))) c) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 -1 (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) -1/2)))))))
(fma.f64 -1 (fma.f64 (pow.f64 b_2 3) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) 1) (/.f64 1/2 (*.f64 c (*.f64 a a)))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (fma.f64 b_2 (*.f64 b_2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1/2 (sqrt.f64 -1)))) (/.f64 b_2 (neg.f64 a))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 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) (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (*.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 -1 a))))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 1/8 (/.f64 (/.f64 (pow.f64 b_2 3) a) (neg.f64 (*.f64 c c)))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (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) (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 -1 a)) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a (*.f64 1 a)))))))
(fma.f64 -1/2 (/.f64 c b_2) (fma.f64 1/8 (*.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 c 3) (*.f64 a a)))))
(+.f64 (*.f64 1/128 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 7))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/2 (/.f64 c b_2)) (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 7)))))))
(fma.f64 1/128 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 b_2 7)) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 b_2 7)) 1/32)))))
(fma.f64 1/128 (/.f64 (*.f64 -1 (pow.f64 a 3)) (/.f64 (pow.f64 b_2 7) (pow.f64 c 4))) (fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 -1 a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a (*.f64 1 a)))) (fma.f64 (/.f64 (*.f64 -1 (pow.f64 a 3)) (/.f64 (pow.f64 b_2 7) (pow.f64 c 4))) 1/32 (*.f64 -1/2 (/.f64 c b_2))))))
(fma.f64 1/8 (*.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 1/128 (*.f64 (/.f64 (neg.f64 (pow.f64 c 4)) (pow.f64 b_2 7)) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 c b_2) (fma.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 c 4)) (pow.f64 b_2 7)) (pow.f64 a 3)) 1/32 (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 c 3) (*.f64 a a)))))))
(*.f64 2 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
(*.f64 2 (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 b_2 (/.f64 a -2))
(+.f64 (*.f64 2 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 2 (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 (/.f64 1/2 b_2) c))
(+.f64 (*.f64 2 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 2 (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) 1/8) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c b_2))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (-.f64 (*.f64 1/2 (/.f64 c b_2)) (*.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 -1 a)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 a (*.f64 1/8 (*.f64 c c))) (pow.f64 b_2 3))))
(+.f64 (*.f64 2 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))) (pow.f64 b_2 3))) (+.f64 (*.f64 1/2 (/.f64 c b_2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))))))))) (pow.f64 b_2 5))))))
(fma.f64 2 (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) 1/8) (pow.f64 b_2 3)) (fma.f64 1/2 (/.f64 c b_2) (neg.f64 (/.f64 (fma.f64 -2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) 2) (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (fma.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a (*.f64 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) 1/8))))))) (pow.f64 b_2 5))))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (-.f64 (-.f64 (*.f64 1/2 (/.f64 c b_2)) (*.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 -1 a)))) (/.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 1 (pow.f64 a 4))) (pow.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a (*.f64 1 a)) -1/8)) 2)) (*.f64 1 (*.f64 (*.f64 a a) c))) (fma.f64 1/16 (*.f64 1 (*.f64 (*.f64 a a) (pow.f64 c 3))) (*.f64 1/4 (*.f64 c (*.f64 a (neg.f64 (*.f64 1/8 (*.f64 -1 (*.f64 a (*.f64 c c)))))))))) (pow.f64 b_2 5))))
(-.f64 (fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (*.f64 a (*.f64 1/8 (*.f64 c c))) (pow.f64 b_2 3)))) (/.f64 (fma.f64 (pow.f64 c 3) (*.f64 (*.f64 a a) 1/16) (fma.f64 -2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 1/16 (pow.f64 c 4)))) (*.f64 c (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a (*.f64 1/8 (*.f64 c c)))) (*.f64 c 1/4)))) (pow.f64 b_2 5)))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))

eval531.0ms (5%)

Compiler

Compiled 28596 to 12112 computations (57.6% saved)

prune251.0ms (2.3%)

Pruning

37 alts after pruning (25 fresh and 12 done)

PrunedKeptTotal
New1038101048
Fresh11516
Picked011
Done11112
Total1040371077
Error
0.0b
Counts
1077 → 37
Alt Table
Click to see full alt table
StatusErrorProgram
43.9b
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))))
46.1b
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
62.7b
(/.f64 (/.f64 1 (/.f64 (/.f64 a (*.f64 -2 (/.f64 b_2 c))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
59.3b
(/.f64 (neg.f64 b_2) a)
44.8b
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) a)
62.1b
(/.f64 (/.f64 1 (/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
42.6b
(/.f64 (/.f64 1 (fma.f64 (/.f64 (/.f64 b_2 c) a) -2 (/.f64 1/2 b_2))) a)
45.0b
(fma.f64 -2 (/.f64 b_2 a) (/.f64 1/2 (/.f64 b_2 c)))
44.8b
(*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))
62.0b
(/.f64 (/.f64 1 (/.f64 (neg.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
38.0b
(*.f64 -1/2 (/.f64 c b_2))
62.0b
(/.f64 (/.f64 1 (/.f64 (*.f64 1/2 (*.f64 c (/.f64 a b_2))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
44.9b
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
52.8b
(/.f64 (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (*.f64 c (neg.f64 a)))) a)
44.8b
(/.f64 (/.f64 1 (/.f64 -1/2 b_2)) a)
37.9b
(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)
62.1b
(/.f64 (/.f64 1 (/.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
42.6b
(*.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a) (/.f64 1 a))
38.3b
(/.f64 -1/2 (/.f64 b_2 c))
33.9b
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)
33.9b
(*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) (/.f64 1 a))
46.2b
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 a (neg.f64 c)) 1/4) 2) b_2) a)
45.0b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
34.0b
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
47.5b
(*.f64 (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2) (/.f64 1 a))
34.9b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
43.2b
(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) b_2) a)
38.1b
(*.f64 c (/.f64 -1/2 b_2))
46.0b
(/.f64 (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2) a)
44.8b
(/.f64 (*.f64 -2 b_2) a)
42.5b
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a)
62.2b
(/.f64 (/.f64 1 (/.f64 (/.f64 1 (/.f64 b_2 (*.f64 c (*.f64 -1/2 a)))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
47.5b
(/.f64 (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2) a)
58.9b
(/.f64 0 a)
35.9b
(/.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 3)) b_2) a)
45.5b
(/.f64 (/.f64 1 (*.f64 (/.f64 b_2 a) (/.f64 -2 c))) a)
36.4b
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (*.f64 c (neg.f64 a)))) a)
Compiler

Compiled 576 to 382 computations (33.7% saved)

regimes1.0s (9.7%)

Counts
49 → 5
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (/.f64 1 (/.f64 -1/2 b_2)) a)
(/.f64 (/.f64 1 (/.f64 -1/2 b_2)) a)
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) a)
(*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (/.f64 1 (*.f64 (/.f64 b_2 a) (/.f64 -2 c))) a)
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))))
(*.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a) (/.f64 1 a))
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (*.f64 c (neg.f64 a)))) a)
(/.f64 (/.f64 1 (/.f64 (/.f64 a (*.f64 -2 (/.f64 b_2 c))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (*.f64 1/2 (*.f64 c (/.f64 a b_2))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (neg.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (/.f64 1 (/.f64 b_2 (*.f64 c (*.f64 -1/2 a)))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(fma.f64 -2 (/.f64 b_2 a) (/.f64 1/2 (/.f64 b_2 c)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (/.f64 1 (fma.f64 (/.f64 (/.f64 b_2 c) a) -2 (/.f64 1/2 b_2))) a)
(/.f64 (-.f64 (pow.f64 (sqrt.f64 b_2) 2) b_2) a)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)
(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 a (neg.f64 c)) 1/4) 2) b_2) a)
(*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) (/.f64 1 a))
(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) b_2) a)
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2) b_2) a)
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (*.f64 c (neg.f64 a)))) a)
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
(/.f64 (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2) a)
(/.f64 (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2) a)
(pow.f64 (/.f64 a (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2)) -1)
(*.f64 (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2) (/.f64 1 a))
(/.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 3)) b_2) a)
Outputs
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
Calls

4 calls:

533.0ms
a
223.0ms
c
140.0ms
b_2
115.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
ErrorSegmentsBranch
20.2b9a
8.5b5b_2
21.2b9c
11.8b5(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 644 to 271 computations (57.9% saved)

bsearch192.0ms (1.8%)

Algorithm
binary-search
Steps
TimeLeftRight
86.0ms
3.8632095511129423e-97
5.4746417004144255e-96
69.0ms
-3.752688208262509e-227
-8.25791598651068e-235
8.0ms
-3.5072997141621633e-146
-1.4838017416699734e-149
29.0ms
-2.185313287982338e+114
-1.3638659537095583e+114
Compiler

Compiled 592 to 395 computations (33.3% saved)

regimes529.0ms (5%)

Counts
45 → 3
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (/.f64 1 (/.f64 -1/2 b_2)) a)
(/.f64 (/.f64 1 (/.f64 -1/2 b_2)) a)
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) a)
(*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (/.f64 1 (*.f64 (/.f64 b_2 a) (/.f64 -2 c))) a)
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))))
(*.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a) (/.f64 1 a))
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (*.f64 c (neg.f64 a)))) a)
(/.f64 (/.f64 1 (/.f64 (/.f64 a (*.f64 -2 (/.f64 b_2 c))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (*.f64 1/2 (*.f64 c (/.f64 a b_2))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (neg.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (/.f64 1 (/.f64 b_2 (*.f64 c (*.f64 -1/2 a)))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(fma.f64 -2 (/.f64 b_2 a) (/.f64 1/2 (/.f64 b_2 c)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (/.f64 1 (fma.f64 (/.f64 (/.f64 b_2 c) a) -2 (/.f64 1/2 b_2))) a)
(/.f64 (-.f64 (pow.f64 (sqrt.f64 b_2) 2) b_2) a)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))) 3)
(/.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) a)
(pow.f64 (fma.f64 1/2 (/.f64 a b_2) (*.f64 -2 (/.f64 b_2 c))) -1)
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 a (neg.f64 c)) 1/4) 2) b_2) a)
(*.f64 (-.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) b_2) (/.f64 1 a))
(/.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) b_2) a)
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2) b_2) a)
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (*.f64 c (neg.f64 a)))) a)
(/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
(/.f64 (/.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))
(/.f64 (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)))) b_2) a)
Outputs
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
Calls

4 calls:

206.0ms
a
178.0ms
c
66.0ms
b_2
65.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
ErrorSegmentsBranch
24.0b7a
9.7b3b_2
24.2b8c
12.0b5(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 590 to 253 computations (57.1% saved)

bsearch213.0ms (2%)

Algorithm
binary-search
Steps
TimeLeftRight
182.0ms
3.8632095511129423e-97
5.4746417004144255e-96
30.0ms
-2.185313287982338e+114
-1.3638659537095583e+114
Compiler

Compiled 272 to 185 computations (32% saved)

regimes554.0ms (5.2%)

Counts
29 → 3
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (/.f64 1 (/.f64 -1/2 b_2)) a)
(/.f64 (/.f64 1 (/.f64 -1/2 b_2)) a)
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) a)
(*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (/.f64 1 (*.f64 (/.f64 b_2 a) (/.f64 -2 c))) a)
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))))
(*.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a) (/.f64 1 a))
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (*.f64 c (neg.f64 a)))) a)
(/.f64 (/.f64 1 (/.f64 (/.f64 a (*.f64 -2 (/.f64 b_2 c))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (*.f64 1/2 (*.f64 c (/.f64 a b_2))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (neg.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (/.f64 1 (/.f64 b_2 (*.f64 c (*.f64 -1/2 a)))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(fma.f64 -2 (/.f64 b_2 a) (/.f64 1/2 (/.f64 b_2 c)))
Outputs
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
Calls

3 calls:

226.0ms
a
137.0ms
c
74.0ms
b_2
Results
ErrorSegmentsBranch
31.2b10a
11.7b3b_2
32.2b6c
Compiler

Compiled 353 to 164 computations (53.5% saved)

bsearch216.0ms (2%)

Algorithm
binary-search
Steps
TimeLeftRight
122.0ms
3.8632095511129423e-97
5.4746417004144255e-96
94.0ms
-7.379445568996878e-82
-7.373030345343307e-84
Compiler

Compiled 350 to 251 computations (28.3% saved)

regimes435.0ms (4.1%)

Counts
27 → 2
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (/.f64 1 (/.f64 -1/2 b_2)) a)
(/.f64 (/.f64 1 (/.f64 -1/2 b_2)) a)
(/.f64 (/.f64 -1/2 (/.f64 b_2 (*.f64 c a))) a)
(*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (/.f64 1 (*.f64 (/.f64 b_2 a) (/.f64 -2 c))) a)
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))))
(*.f64 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a) (/.f64 1 a))
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a)
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (*.f64 c (neg.f64 a)))) a)
(/.f64 (/.f64 1 (/.f64 (/.f64 a (*.f64 -2 (/.f64 b_2 c))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (*.f64 1/2 (*.f64 c (/.f64 a b_2))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (neg.f64 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 c -1/2) b_2) (neg.f64 a)) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (/.f64 1 (/.f64 (/.f64 1 (/.f64 b_2 (*.f64 c (*.f64 -1/2 a)))) (-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2)))) a)
Outputs
(/.f64 (*.f64 -2 b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
Calls

3 calls:

193.0ms
a
181.0ms
c
45.0ms
b_2
Results
ErrorSegmentsBranch
35.4b4a
20.2b2b_2
35.2b5c
Compiler

Compiled 334 to 155 computations (53.6% saved)

bsearch163.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
163.0ms
5.0969799746247723e-231
1.994866261075481e-228
Compiler

Compiled 166 to 127 computations (23.5% saved)

regimes28.0ms (0.3%)

Counts
8 → 2
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 -1/2 b_2) c)
(/.f64 (-.f64 b_2 b_2) a)
Outputs
(/.f64 (neg.f64 b_2) a)
(*.f64 -1/2 (/.f64 c b_2))
Calls

3 calls:

11.0ms
b_2
8.0ms
a
6.0ms
c
Results
ErrorSegmentsBranch
38.0b1a
34.7b2b_2
38.0b1c
Compiler

Compiled 51 to 30 computations (41.2% saved)

bsearch68.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
68.0ms
5.0969799746247723e-231
1.994866261075481e-228
Compiler

Compiled 158 to 119 computations (24.7% saved)

regimes21.0ms (0.2%)

Counts
5 → 2
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
Outputs
(/.f64 (neg.f64 b_2) a)
(*.f64 c (/.f64 -1/2 b_2))
Calls

3 calls:

10.0ms
b_2
5.0ms
a
5.0ms
c
Results
ErrorSegmentsBranch
38.1b1a
34.8b2b_2
38.1b1c
Compiler

Compiled 36 to 22 computations (38.9% saved)

bsearch66.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
65.0ms
5.0969799746247723e-231
1.994866261075481e-228
Compiler

Compiled 158 to 119 computations (24.7% saved)

regimes18.0ms (0.2%)

Accuracy

Total -6.6b remaining (-11.8%)

Threshold costs -6.6b (-11.8%)

Counts
3 → 2
Calls
Call 1
Inputs
(/.f64 0 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (neg.f64 b_2) a)
Outputs
(/.f64 (neg.f64 b_2) a)
(/.f64 0 a)
Calls

3 calls:

9.0ms
b_2
4.0ms
c
4.0ms
a
Results
ErrorSegmentsBranch
58.9b1a
55.8b2b_2
58.9b1c
Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch72.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
72.0ms
1.8657213127959622e-203
2.1478617878693842e-200
Compiler

Compiled 142 to 111 computations (21.8% saved)

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
065264
190264
2105264
3112264
4114264
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b_2 -1400000000000000021783182581253580233975481955689486006717678812603167293630657984570979545881066426746688793214976) (/.f64 (*.f64 -2 b_2) a) (if (<=.f64 b_2 -5758609657015291/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (if (<=.f64 b_2 -7894929088529747/213376461852155336770555257303080249508632266314109061132680249976449191610164226288685830427889737303773757138989863694268441652931819682571627393674586561475045042544448465870818505149178048791326880516348371263414103937199246761317244076032) (/.f64 (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2) a) (if (<=.f64 b_2 15760802478557792256/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))))
(if (<=.f64 b_2 -1400000000000000021783182581253580233975481955689486006717678812603167293630657984570979545881066426746688793214976) (/.f64 (*.f64 -2 b_2) a) (if (<=.f64 b_2 15760802478557792256/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -8202190217936295/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 15760802478557792256/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 4544747936281427/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (*.f64 -2 b_2) a) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 4544747936281427/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (neg.f64 b_2) a) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 4544747936281427/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (neg.f64 b_2) a) (*.f64 c (/.f64 -1/2 b_2)))
(if (<=.f64 b_2 3619646797660679/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (/.f64 (neg.f64 b_2) a) (/.f64 0 a))
(/.f64 0 a)
Outputs
(if (<=.f64 b_2 -1400000000000000021783182581253580233975481955689486006717678812603167293630657984570979545881066426746688793214976) (/.f64 (*.f64 -2 b_2) a) (if (<=.f64 b_2 -5758609657015291/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (if (<=.f64 b_2 -7894929088529747/213376461852155336770555257303080249508632266314109061132680249976449191610164226288685830427889737303773757138989863694268441652931819682571627393674586561475045042544448465870818505149178048791326880516348371263414103937199246761317244076032) (/.f64 (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2) a) (if (<=.f64 b_2 15760802478557792256/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))))
(if (<=.f64 b_2 -1400000000000000021783182581253580233975481955689486006717678812603167293630657984570979545881066426746688793214976) (/.f64 (*.f64 b_2 -2) a) (if (<=.f64 b_2 -5758609657015291/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (if (<=.f64 b_2 -7894929088529747/213376461852155336770555257303080249508632266314109061132680249976449191610164226288685830427889737303773757138989863694268441652931819682571627393674586561475045042544448465870818505149178048791326880516348371263414103937199246761317244076032) (/.f64 (-.f64 (hypot.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) b_2) a) (if (<=.f64 b_2 7695704335233297/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))))
(if (<=.f64 b_2 -1400000000000000021783182581253580233975481955689486006717678812603167293630657984570979545881066426746688793214976) (/.f64 (*.f64 -2 b_2) a) (if (<=.f64 b_2 15760802478557792256/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -1400000000000000021783182581253580233975481955689486006717678812603167293630657984570979545881066426746688793214976) (/.f64 (*.f64 b_2 -2) a) (if (<=.f64 b_2 7695704335233297/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -8202190217936295/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 15760802478557792256/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 -8202190217936295/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 (/.f64 c b_2) 1/2)) (if (<=.f64 b_2 7695704335233297/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a) (*.f64 -1/2 (/.f64 c b_2))))
(if (<=.f64 b_2 4544747936281427/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (*.f64 -2 b_2) a) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 4544747936281427/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (*.f64 b_2 -2) a) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 4544747936281427/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (neg.f64 b_2) a) (*.f64 -1/2 (/.f64 c b_2)))
(if (<=.f64 b_2 4544747936281427/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (neg.f64 b_2) a) (*.f64 c (/.f64 -1/2 b_2)))
(if (<=.f64 b_2 3619646797660679/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (/.f64 (neg.f64 b_2) a) (/.f64 0 a))
(/.f64 0 a)

end196.0ms (1.8%)

Stop Event
fuel
Compiler

Compiled 385 to 219 computations (43.1% saved)

Profiling

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