Details

Time bar (total: 18.3s)

analyze574.0ms (3.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
0%0%95.2%0.1%0%4.7%0%7
6.6%6.2%88.2%0.1%0%5.5%0%8
11.2%10.1%80.4%0.1%1.2%8.2%0%9
17.4%15.2%72.2%0.1%1.4%11.1%0%10
26.2%22.2%62.5%0.1%2.1%13%0%11
35.6%29.1%52.5%0.1%3.3%15.1%0%12
Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.9s (16%)

Results
1.1s5512×body256valid
668.0ms1155×body2048valid
339.0ms759×body1024valid
319.0ms441×body4096valid
268.0ms1157×body256invalid
121.0ms389×body512valid
62.0ms335×body256infinite
Bogosity

preprocess136.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03080
16572
211272
322272
436572
562072
6105872
7177372
8403172
9548472
10689172
11721272
12728572
13734972
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 b_2 b_2 (*.f64 c (neg.f64 a)))) 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 b_2 b_2 (*.f64 c (neg.f64 a)))) 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)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b_2 (neg.f64 a)))) c) a)
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify120.0ms (0.7%)

Algorithm
egg-herbie
Rules
808×fma-neg_binary64
368×associate-/l*_binary64
362×div-sub_binary64
341×fma-def_binary64
222×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01120
12318
24218
37718
412318
521818
637018
758618
895718
9147418
10200418
11323418
12412518
13459518
14460318
15461118
16463718
17465318
18468918
19471918
20473118
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)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)

eval1.0ms (0%)

Compiler

Compiled 28 to 16 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
35.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
35.5b
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 16 to 10 computations (37.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
0.4b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
1.7b
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
26.5b
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Compiler

Compiled 53 to 10 computations (81.1% saved)

series28.0ms (0.2%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
3.0ms
b_2
@inf
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
2.0ms
a
@inf
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 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
a
@inf
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

rewrite167.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
680×fma-def_binary64
610×log-prod_binary64
351×fma-neg_binary64
312×pow2_binary64
213×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01159
125855
2391752
Stop Event
node limit
Counts
4 → 317
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 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 (*.f64 a (neg.f64 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 (pow.f64 (cbrt.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 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (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 (*.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 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 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 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 hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 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 (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 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 (*.f64 a (neg.f64 c))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b_2 b_2) (-.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 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) 0) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 2) (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (/.f64 1 (fma.f64 b_2 b_2 (-.f64 (*.f64 b_2 b_2) (fma.f64 a c (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 b_2 b_2)) (*.f64 a c)) (/.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b_2 b_2 (-.f64 (*.f64 b_2 b_2) (fma.f64 a c (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))) (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (+.f64 (fma.f64 b_2 b_2 (*.f64 b_2 b_2)) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (fma.f64 b_2 b_2 (-.f64 (*.f64 b_2 b_2) (fma.f64 a c (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (+.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 b_2 b_2 (*.f64 b_2 b_2)) (*.f64 a c)) (-.f64 b_2 (hypot.f64 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(neg.f64 c)))))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 1))))))

simplify86.0ms (0.5%)

Algorithm
egg-herbie
Rules
985×times-frac_binary64
814×fma-def_binary64
759×associate-*l*_binary64
658×associate-/l*_binary64
567×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01782424
15612350
219362254
Stop Event
node limit
Counts
413 → 398
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 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (*.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 (sqrt.f64 (*.f64 c a)) (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))))))
(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 b_2 (/.f64 (sqrt.f64 -1) b_2))))))
(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 b_2 (/.f64 (sqrt.f64 -1) 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 1/16 (*.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 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 a (/.f64 (pow.f64 b_2 3) a)) (*.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 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.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))))
(-.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) b_2)
(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 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) 1/8 (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) b_2)
(fma.f64 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.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 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) 1/8 (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) b_2))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.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 a (/.f64 (pow.f64 b_2 3) a)) (*.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 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.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 a (/.f64 (pow.f64 b_2 3) a)) (*.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 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/8 (*.f64 (/.f64 a (/.f64 (pow.f64 b_2 3) a)) (*.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 b_2 (/.f64 (sqrt.f64 -1) b_2))) (neg.f64 b_2)))
(-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) 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 b_2 (/.f64 (sqrt.f64 -1) b_2))))) 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 a (/.f64 (pow.f64 b_2 3) a)) (*.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 a (/.f64 (pow.f64 b_2 3) a)) (*.f64 c c)) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 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)) (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 -1/8 (*.f64 (*.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))))))
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(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) 1/2) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.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 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (/.f64 (neg.f64 b_2) a))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) 1/2)) (/.f64 b_2 a))))
(-.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/8 (/.f64 (pow.f64 b_2 4) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))))))) (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c -1/2) 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 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (*.f64 c -1/2) b_2))
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) 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 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (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 (*.f64 c -1/2) b_2)))
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 a (*.f64 a (pow.f64 c 3))))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (*.f64 a (pow.f64 b_2 7)))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 a a))) 2)) (*.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (*.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (/.f64 (*.f64 c -1/2) b_2))))
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) 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 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (*.f64 a (pow.f64 b_2 7)))))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 b_2 (/.f64 a -2))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a -2)))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (*.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)))))
(fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (/.f64 b_2 (/.f64 a -2))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (/.f64 (*.f64 c 1/2) b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (*.f64 1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c)))))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 c -1/2) 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 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (*.f64 c -1/2) b_2))
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) 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 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (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 (*.f64 c -1/2) b_2)))
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 a (*.f64 a (pow.f64 c 3))))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 3))) 2) (*.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)))) (pow.f64 a 3)) b_2)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -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 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 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 (*.f64 c -1/2) b_2))))
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) 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 c -1/2) 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 c c) (/.f64 (pow.f64 b_2 3) a)) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (*.f64 c -1/2) b_2))
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) 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 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (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 (*.f64 c -1/2) b_2)))
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 a (*.f64 a (pow.f64 c 3))))))
(+.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 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 a a))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 1/64)) a) (/.f64 (pow.f64 c 4) b_2)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (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 (*.f64 c -1/2) b_2))))
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 5/64)) (*.f64 a b_2)) (fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))))))

eval170.0ms (0.9%)

Compiler

Compiled 9534 to 3329 computations (65.1% saved)

prune217.0ms (1.2%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New37622398
Fresh000
Picked011
Done000
Total37623399
Error
7.7b
Counts
399 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
47.8b
(*.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
46.5b
(/.f64 (+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
35.5b
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) a)
45.8b
(*.f64 -2 (/.f64 b_2 a))
45.8b
(/.f64 (*.f64 b_2 -2) a)
46.2b
(/.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)
50.9b
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
59.3b
(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)
41.8b
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 -1/2 b_2) c))
45.9b
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
56.0b
(exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
40.1b
(*.f64 (/.f64 -1/2 b_2) c)
40.0b
(*.f64 -1/2 (/.f64 c b_2))
45.4b
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
35.5b
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
45.4b
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)
32.1b
(*.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
46.0b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
55.6b
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
36.7b
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)) a)
48.1b
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
39.0b
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))) a)
48.1b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (cbrt.f64 a)))
Compiler

Compiled 682 to 458 computations (32.8% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
0.1b
(*.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
0.7b
(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
15.2b
(sqrt.f64 (*.f64 a (neg.f64 c)))
Compiler

Compiled 54 to 15 computations (72.2% saved)

series60.0ms (0.3%)

Counts
4 → 38
Calls

33 calls:

TimeVariablePointExpression
5.0ms
a
@-inf
(*.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
5.0ms
c
@0
(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
4.0ms
a
@inf
(*.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
4.0ms
a
@inf
(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
4.0ms
a
@-inf
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))

rewrite134.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
583×log-prod_binary64
548×prod-diff_binary64
293×pow2_binary64
239×fma-def_binary64
206×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01352
127742
2380542
Stop Event
node limit
Counts
4 → 205
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a (neg.f64 c)))
(-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(*.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 3/2)) (/.f64 1 a)) (fma.f64 b_2 b_2 (fma.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 (-.f64 (*.f64 b_2 b_2) (fma.f64 a c (*.f64 b_2 b_2))) (/.f64 1 a)) (+.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) -1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 a) (-.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 3/2))) (fma.f64 b_2 b_2 (fma.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 (/.f64 1 a) (-.f64 (*.f64 b_2 b_2) (fma.f64 a c (*.f64 b_2 b_2)))) 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c)) b_2)) 3) (/.f64 (pow.f64 a -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 (/.f64 1 a) (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) b_2 (*.f64 (/.f64 1 a) (neg.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (cbrt.f64 (fma.f64 a c (*.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b_2 b_2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)) 1))))))

simplify75.0ms (0.4%)

Algorithm
egg-herbie
Rules
949×times-frac_binary64
679×associate-/l*_binary64
653×fma-def_binary64
506×associate-/r*_binary64
330×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01621598
14961301
219051209
374501207
Stop Event
node limit
Counts
243 → 275
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 b_2 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 b_2 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (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 (*.f64 (sqrt.f64 (*.f64 c a)) (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 1/8 (/.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 (*.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 (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))))))
(*.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 (*.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 b_2 (*.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 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(*.f64 -1 b_2)
(+.f64 (*.f64 -1 b_2) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (*.f64 -1 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 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)))))
b_2
b_2
Outputs
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1)))
(+.f64 b_2 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) b_2)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -1) b_2)
(fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1)) b_2)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 b_2 (*.f64 -1 (*.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 (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) b_2))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (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)) b_2) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(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)) (neg.f64 (sqrt.f64 -1)) b_2))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (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 (*.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 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))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))))
(+.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -1) b_2)) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))))))
(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 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (*.f64 (pow.f64 b_2 4) 1/8) (neg.f64 (sqrt.f64 -1))) (fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1)) b_2)))
(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 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1)) b_2)))
(*.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 (*.f64 (*.f64 1/2 c) a) b_2)
(*.f64 (/.f64 1/2 (/.f64 b_2 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 -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 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) (/.f64 (*.f64 (*.f64 1/2 c) a) b_2))
(fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 (/.f64 1/2 (/.f64 b_2 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 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (*.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 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (pow.f64 a 3))) (/.f64 (*.f64 (*.f64 1/2 c) a) b_2)))
(fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (neg.f64 (pow.f64 c 3)))) (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a)))
(fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (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 (/.f64 b_2 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 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) -1/8) 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 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (*.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 c c) (*.f64 (*.f64 a (*.f64 a 1)) -1/8)) 2)) (pow.f64 b_2 7)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (pow.f64 a 3))) (/.f64 (*.f64 (*.f64 1/2 c) a) b_2))))
(fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (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)))) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (neg.f64 (pow.f64 c 3)))) (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a))))
(fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (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)))) (pow.f64 b_2 7)) (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 (/.f64 b_2 c)) a))))
(*.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 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) 1/2))
(fma.f64 b_2 2 (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2))
(fma.f64 b_2 2 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))
(+.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 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) 1/2)))
(fma.f64 b_2 2 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) -1/8 (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)))
(fma.f64 b_2 2 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 -1/2 (/.f64 b_2 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 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (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 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) 1/2))))
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (pow.f64 a 3))) 1/16 (fma.f64 b_2 2 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) -1/8 (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2))))
(fma.f64 b_2 2 (fma.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (neg.f64 (pow.f64 c 3)))) 1/16 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))))
(fma.f64 b_2 2 (fma.f64 (*.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) 1/16 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) 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)) (*.f64 -1 (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1) (/.f64 (neg.f64 b_2) a))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (/.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 (*.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (/.f64 (neg.f64 b_2) a)))
(-.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))))) (/.f64 b_2 a))
(-.f64 (fma.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)))) (/.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 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (/.f64 (neg.f64 b_2) a))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (-.f64 (fma.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))) (*.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))))) (/.f64 b_2 a)))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 c a)) (fma.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (-.f64 (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))) (/.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 -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 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4))))))
(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 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (/.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 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6)))))))
(+.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 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 -1 a)))) (pow.f64 b_2 5))))
(fma.f64 -1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (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))))
(+.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 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) -1/8) 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))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6))))))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 1 (*.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a (*.f64 a 1)) -1/8)) 2)) (*.f64 a (pow.f64 b_2 7))) (+.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 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 -1 a)))) (pow.f64 b_2 5)))))
(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 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (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)))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (*.f64 b_2 -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 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 1/2 c) b_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 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 -2 (/.f64 b_2 a) (*.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a 1)) (fma.f64 (/.f64 b_2 a) -2 (/.f64 (*.f64 1/2 c) b_2)))
(fma.f64 1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (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 (*.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 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (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 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6))))))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a 1)) (fma.f64 (/.f64 b_2 a) -2 (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a (*.f64 -1 a))) (/.f64 (*.f64 1/2 c) b_2))))
(fma.f64 1/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/16 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 (/.f64 b_2 a) -2 (/.f64 1/2 (/.f64 b_2 c)))))
(*.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 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) 1/2))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) 1/2 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) 1/2)))
(+.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 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) 1/2)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))) -1/8))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) 1/2) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (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 a 5) (pow.f64 c 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 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))) 1/2))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 5) (pow.f64 c 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))) -1/8)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) 1/2) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/8 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 b_2 (*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) 1/2))
(+.f64 b_2 (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2))
(+.f64 b_2 (*.f64 (/.f64 -1/2 (/.f64 b_2 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 b_2 (*.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 b_2 (*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) 1/2)))
(+.f64 b_2 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) -1/8 (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2)))
(+.f64 b_2 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 -1/2 (/.f64 b_2 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 -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 b_2 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (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 b_2 (*.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) 1/2))))
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (pow.f64 a 3))) 1/16 (+.f64 b_2 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) -1/8 (/.f64 (*.f64 (*.f64 -1/2 c) a) b_2))))
(+.f64 b_2 (fma.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (neg.f64 (pow.f64 c 3)))) 1/16 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))))
(+.f64 b_2 (fma.f64 (*.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) 1/16 (fma.f64 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) -1/8 (*.f64 (/.f64 -1/2 (/.f64 b_2 c)) a))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (*.f64 -1 b_2) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(fma.f64 -1 b_2 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)))
(-.f64 (/.f64 (*.f64 (*.f64 1/2 c) a) b_2) b_2)
(-.f64 (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a) b_2)
(+.f64 (*.f64 -1 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 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))))
(-.f64 (fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))) (/.f64 (*.f64 (*.f64 1/2 c) a) b_2)) b_2)
(-.f64 (fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a)) b_2)
(+.f64 (*.f64 -1 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)))))
(fma.f64 -1 b_2 (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (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)))))
(-.f64 (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 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 -1 (pow.f64 a 3))) (/.f64 (*.f64 (*.f64 1/2 c) a) b_2))) b_2)
(fma.f64 -1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b_2 5) (neg.f64 (pow.f64 c 3)))) (-.f64 (fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a)) b_2))
(fma.f64 -1/16 (*.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (-.f64 (fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) (*.f64 (/.f64 1/2 (/.f64 b_2 c)) a)) b_2))
b_2
b_2

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -2 (/.f64 b_2 a))
Compiler

Compiled 14 to 7 computations (50% saved)

series4.0ms (0%)

Counts
1 → 0
Calls

6 calls:

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

rewrite61.0ms (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 -2 (/.f64 b_2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 -2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) -2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))))))

simplify6.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
4.1b
(/.f64 c (/.f64 b_2 a))
7.3b
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
Compiler

Compiled 31 to 11 computations (64.5% saved)

series14.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

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

rewrite153.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
616×log-prod_binary64
483×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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (*.f64 c (/.f64 a b_2)) a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (*.f64 c (/.f64 a b_2)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (*.f64 c (/.f64 a b_2)) a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (*.f64 c (/.f64 a b_2)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (*.f64 c (/.f64 a b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (*.f64 c (/.f64 a b_2)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (/.f64 a b_2)) (*.f64 -1/2 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) (/.f64 a -1/2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) (/.f64 a -1/2)) -2)) (cbrt.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) (*.f64 (sqrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))) (sqrt.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 c (/.f64 a b_2)) 1/2) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c (/.f64 a b_2)) 1) (/.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 c (/.f64 a b_2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c (/.f64 a b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 -1/2 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 a) a) (/.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 a)) (/.f64 (*.f64 c (/.f64 a b_2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c (/.f64 a b_2)) (sqrt.f64 a)) (/.f64 -1/2 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (/.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) (/.f64 a -1/2)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) (/.f64 a -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) (/.f64 a -1/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) (/.f64 a -1/2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (*.f64 c (/.f64 a b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b_2 (*.f64 c a)) (/.f64 a -1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))) 1) 1))))))
((#(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 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2))) (cbrt.f64 (pow.f64 (*.f64 c (/.f64 a b_2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (neg.f64 (/.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 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (/.f64 b_2 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 1 b_2) (/.f64 c (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) b_2) (/.f64 (cbrt.f64 c) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) -2) (/.f64 c (cbrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b_2 a) -1/2) (/.f64 c (sqrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 (/.f64 b_2 a))) (/.f64 (cbrt.f64 c) (sqrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 a b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (/.f64 a b_2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b_2 (*.f64 c a)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (/.f64 a b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b_2 (*.f64 c a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 c (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c 3) (pow.f64 (/.f64 b_2 a) 3)) 1/3)))) (#(struct:change #<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 (neg.f64 (/.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 b_2 (*.f64 c a)) -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 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 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 b_2 (*.f64 c a)) -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 +.f64 0 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)) -1/2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) 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)) (neg.f64 (/.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) (pow.f64 (cbrt.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) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 c)) (neg.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (*.f64 c (/.f64 a b_2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))))))) (#(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 c b_2) (*.f64 a -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 c (/.f64 a b_2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2))) 1) 1))))))

simplify49.0ms (0.3%)

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 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 c (/.f64 b_2 -1/2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 (/.f64 a b_2) c)
(*.f64 c (/.f64 a b_2))
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(/.f64 (*.f64 c a) b_2)
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(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
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(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
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(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
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(*.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 b_2 (*.f64 c a)))
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(*.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 b_2 (*.f64 c a)))
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(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
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(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
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(*.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 b_2 (*.f64 c a)))
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(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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)))
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(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
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(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
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(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
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(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 -1/2 (/.f64 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.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 b_2 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (/.f64 a b_2) c))
(*.f64 -1/2 (*.f64 c (/.f64 a b_2)))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))
0.1b
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
15.2b
(sqrt.f64 (*.f64 c (neg.f64 a)))
Compiler

Compiled 37 to 9 computations (75.7% saved)

series22.0ms (0.1%)

Counts
3 → 28
Calls

24 calls:

TimeVariablePointExpression
7.0ms
b_2
@inf
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
2.0ms
a
@-inf
(sqrt.f64 (*.f64 c (neg.f64 a)))
1.0ms
a
@inf
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
1.0ms
a
@-inf
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
1.0ms
c
@inf
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)

rewrite88.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
484×log-prod_binary64
362×exp-prod_binary64
324×pow-prod-down_binary64
300×fma-def_binary64
236×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
122027
2333127
Stop Event
node limit
Counts
3 → 272
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 c (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 c a)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 b_2 (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b_2 b_2) (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) (/.f64 (*.f64 c a) (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) 0) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(*.f64 c a) 1/4)) (-.f64 (sqrt.f64 b_2) (pow.f64 (*.f64 c a) 1/4)) (fma.f64 (neg.f64 (pow.f64 (*.f64 c a) 1/6)) (cbrt.f64 (*.f64 c a)) (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b_2) (pow.f64 (*.f64 c a) 1/4)) (-.f64 (sqrt.f64 b_2) (pow.f64 (*.f64 c a) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 a)) (sqrt.f64 c) (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b_2) (pow.f64 (*.f64 c a) 1/4)) (-.f64 (sqrt.f64 b_2) (pow.f64 (*.f64 c a) 1/4)) (fma.f64 (neg.f64 (pow.f64 (*.f64 c a) 1/4)) (pow.f64 (*.f64 c a) 1/4) (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2) (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2) (neg.f64 (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2) (*.f64 -1 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(*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (fma.f64 b_2 b_2 (*.f64 c a)))) (cbrt.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b_2)) (fma.f64 (neg.f64 (pow.f64 (*.f64 c a) 1/4)) (pow.f64 (*.f64 c a) 1/4) (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2) (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2) (neg.f64 (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2) (*.f64 -1 (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2) (*.f64 (neg.f64 (cbrt.f64 (*.f64 c a))) (pow.f64 (*.f64 c a) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2) (*.f64 (neg.f64 (sqrt.f64 c)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (*.f64 b_2 b_2))) (cbrt.f64 b_2) (*.f64 (neg.f64 (pow.f64 (*.f64 c a) 1/4)) (pow.f64 (*.f64 c a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b_2)) (sqrt.f64 b_2) (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b_2)) (sqrt.f64 b_2) (neg.f64 (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b_2)) (sqrt.f64 b_2) (*.f64 -1 (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b_2)) (sqrt.f64 b_2) (*.f64 (neg.f64 (cbrt.f64 (*.f64 c a))) (pow.f64 (*.f64 c a) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b_2)) (sqrt.f64 b_2) (*.f64 (neg.f64 (sqrt.f64 c)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b_2)) (sqrt.f64 b_2) (*.f64 (neg.f64 (pow.f64 (*.f64 c a) 1/4)) (pow.f64 (*.f64 c a) 1/4)))))))

simplify135.0ms (0.7%)

Algorithm
egg-herbie
Rules
442×fma-def_binary64
298×fma-neg_binary64
127×div-sub_binary64
121×times-frac_binary64
102×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017337
129337
244337
358337
491337
5145337
6269337
7433337
8615337
9767337
10931337
111021337
121100337
131120337
141160337
151280337
161436337
171683337
182011337
192276337
202408337
212430337
222450337
232460337
Stop Event
saturated
Counts
300 → 283
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 -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)))
(*.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 b_2))
(+.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 -1 b_2))
(*.f64 -1 b_2)
(+.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 -1 b_2))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(*.f64 -1 b_2)
(+.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 -1 b_2))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) (*.f64 -1 b_2))
(*.f64 -1 b_2)
(*.f64 -1 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) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.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) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.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) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(*.f64 -1 (/.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) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.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) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.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) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(*.f64 -1 (/.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) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.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) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.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) (/.f64 (neg.f64 b_2) a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (/.f64 b_2 a))
(*.f64 -1 (/.f64 b_2 a))
(/.f64 (neg.f64 b_2) a)
(*.f64 -1 (/.f64 b_2 a))
(/.f64 (neg.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)) (*.f64 -1 b_2))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (neg.f64 b_2))
(-.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 c a))) b_2)
(+.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 -1) (sqrt.f64 (*.f64 c a))) b_2)
(+.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 -1) (sqrt.f64 (*.f64 c a))) b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.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 -1) (sqrt.f64 (*.f64 c a))) b_2)
(+.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 -1) (sqrt.f64 (*.f64 c a))) b_2)
(+.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 -1) (sqrt.f64 (*.f64 c a))) b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.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 -1) (sqrt.f64 (*.f64 c a))) b_2)
(+.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 -1) (sqrt.f64 (*.f64 c a))) b_2)
(+.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 -1) (sqrt.f64 (*.f64 c a))) b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
8.5b
(/.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))))))
15.2b
(sqrt.f64 (*.f64 a (neg.f64 c)))
19.6b
(-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))
Compiler

Compiled 101 to 14 computations (86.1% saved)

series49.0ms (0.3%)

Counts
3 → 64
Calls

27 calls:

TimeVariablePointExpression
8.0ms
c
@inf
(/.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))))))
8.0ms
a
@-inf
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
7.0ms
c
@-inf
(/.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))))))
5.0ms
a
@inf
(/.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))))))
4.0ms
a
@-inf
(/.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))))))

rewrite143.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
764×log-prod_binary64
579×fma-neg_binary64
256×expm1-udef_binary64
256×log1p-udef_binary64
212×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01462
134238
2536438
Stop Event
node limit
Counts
3 → 244
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) (*.f64 b_2 b_2))
(/.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))))))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
Outputs
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simplify114.0ms (0.6%)

Algorithm
egg-herbie
Rules
797×associate-/l*_binary64
757×fma-def_binary64
556×associate-/r*_binary64
516×*-commutative_binary64
313×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01621506
15171224
223711129
Stop Event
node limit
Counts
308 → 293
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 c a)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b_2 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 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) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (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) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 1/128 (/.f64 (*.f64 (pow.f64 c 4) (*.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 4) (*.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 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (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) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))))
(*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3)))))
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3))) (*.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) a)))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (*.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) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))))))) (pow.f64 b_2 5))))))
(*.f64 -1/2 (/.f64 (*.f64 c a) 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)) 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 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.f64 -1 (*.f64 c a))
(neg.f64 (*.f64 c a))
(*.f64 a (neg.f64 c))
(*.f64 c (neg.f64 a))
(*.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 (pow.f64 (sqrt.f64 -1) 2)) (*.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 (pow.f64 (sqrt.f64 -1) 2)))
(-.f64 (/.f64 b_2 -1) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))))
(fma.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))) (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (/.f64 -1 (sqrt.f64 -1)) -1/2)) (-.f64 (/.f64 b_2 -1) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))
(-.f64 (fma.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1/2 (sqrt.f64 -1))) (/.f64 b_2 -1)) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b_2 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))))
(fma.f64 (*.f64 b_2 b_2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 b_2 3) (-.f64 (/.f64 1/2 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) -1/2) (sqrt.f64 -1)))))) (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))))
(fma.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (/.f64 -1 (sqrt.f64 -1)) -1/2)) (fma.f64 -1 (fma.f64 (pow.f64 b_2 3) (+.f64 (/.f64 1/2 (*.f64 c (*.f64 a 1))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 -1 (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) -1/2)))) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) (/.f64 b_2 -1)))
(-.f64 (fma.f64 (*.f64 b_2 b_2) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1/2 (sqrt.f64 -1))) (/.f64 b_2 -1)) (fma.f64 (pow.f64 b_2 3) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) -1/2) 1) (/.f64 1/2 (*.f64 c a))) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))
(*.f64 (/.f64 (*.f64 c -1/2) b_2) a)
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 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 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a))) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 1/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c (neg.f64 c))) (pow.f64 b_2 3))))
(fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) (*.f64 (/.f64 1/8 (pow.f64 b_2 3)) (*.f64 a (*.f64 a (*.f64 c (neg.f64 c))))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (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) 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) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.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)) (*.f64 1 (pow.f64 a 3))) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 1/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c (neg.f64 c))) (pow.f64 b_2 3)))))
(fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) (fma.f64 1/8 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (/.f64 (*.f64 (pow.f64 c 3) (*.f64 -1/16 (pow.f64 a 3))) (pow.f64 b_2 5))))
(+.f64 (*.f64 1/128 (/.f64 (*.f64 (pow.f64 c 4) (*.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 4) (*.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 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (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) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))))
(fma.f64 1/128 (/.f64 (pow.f64 c 4) (/.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 4) (/.f64 (pow.f64 b_2 7) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 4)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a))) (pow.f64 b_2 3)) (*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))))
(+.f64 (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 1 (pow.f64 a 3))) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 1/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c (neg.f64 c))) (pow.f64 b_2 3))))) (*.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)) (*.f64 -1 (pow.f64 a 4))) 5/128))
(fma.f64 (*.f64 (neg.f64 (pow.f64 a 4)) (/.f64 (pow.f64 c 4) (pow.f64 b_2 7))) 5/128 (fma.f64 -1/2 (*.f64 a (/.f64 c b_2)) (fma.f64 1/8 (*.f64 (*.f64 a (neg.f64 a)) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (/.f64 (*.f64 (pow.f64 c 3) (*.f64 -1/16 (pow.f64 a 3))) (pow.f64 b_2 5)))))
(*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 b_2 -1/2)
(*.f64 -2 b_2)
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (/.f64 b_2 -1/2))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 -2 b_2))
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3)))))
(fma.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a))) 1/8) (pow.f64 b_2 3)))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (/.f64 b_2 -1/2)) (*.f64 1/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c (neg.f64 c))) (pow.f64 b_2 3))))
(fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (+.f64 (*.f64 -2 b_2) (/.f64 (*.f64 1/8 (*.f64 c c)) (/.f64 (pow.f64 b_2 3) (*.f64 a a)))))
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3))) (*.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) a)))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (*.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) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))))))) (pow.f64 b_2 5))))))
(fma.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a))) 1/8) (pow.f64 b_2 3)) (/.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 a 4) (pow.f64 (sqrt.f64 -1) 8))))) (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3))) (*.f64 1/4 (*.f64 c (*.f64 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a a))) 1/8)))))) (pow.f64 b_2 5))))))
(+.f64 (/.f64 b_2 -1/2) (-.f64 (-.f64 (/.f64 1/2 (/.f64 b_2 (*.f64 c a))) (*.f64 1/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c (neg.f64 c))) (pow.f64 b_2 3)))) (/.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 a 1)) -1/8)) 2)) (*.f64 c (*.f64 a 1))) (fma.f64 (*.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/16 (*.f64 1/4 (*.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 c (neg.f64 c))) (*.f64 1/8 a)) (neg.f64 c))))) (pow.f64 b_2 5))))
(+.f64 (fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 -2 b_2)) (-.f64 (/.f64 (*.f64 1/8 (*.f64 c c)) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (/.f64 (fma.f64 c (*.f64 1/4 (*.f64 (neg.f64 (pow.f64 a 3)) (*.f64 c (*.f64 c -1/8)))) (fma.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) 1/16) (*.f64 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 (pow.f64 c 4) 1/16))) c) (/.f64 -2 a)))) (pow.f64 b_2 5))))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))
(*.f64 (/.f64 (*.f64 c -1/2) b_2) a)
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 (*.f64 -1/2 c) (/.f64 b_2 a))
(*.f64 (/.f64 (*.f64 c -1/2) b_2) a)
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)) b_2)
(fma.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 (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 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 (/.f64 1 c) a))) (sqrt.f64 -1)) 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)) 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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 (/.f64 1 c) a))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 (pow.f64 b_2 4) (*.f64 -1 (sqrt.f64 -1))) -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 (sqrt.f64 -1)) b_2)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (*.f64 -1/8 (/.f64 (pow.f64 b_2 4) (neg.f64 (sqrt.f64 -1)))) 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 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 b_2 2 (*.f64 1/2 (/.f64 (*.f64 a (neg.f64 c)) b_2)))
(fma.f64 b_2 2 (/.f64 (*.f64 a (*.f64 1/2 (neg.f64 c))) 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))))
(fma.f64 2 b_2 (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (*.f64 1/2 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))))))
(fma.f64 b_2 2 (fma.f64 1/2 (/.f64 (*.f64 a (neg.f64 c)) b_2) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1))))))
(fma.f64 b_2 2 (fma.f64 1/2 (*.f64 (neg.f64 a) (/.f64 c b_2)) (*.f64 (/.f64 (*.f64 c (*.f64 c -1/8)) (pow.f64 b_2 3)) (*.f64 a 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 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (*.f64 1/2 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))))))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (*.f64 -1 (pow.f64 a 3)))) (fma.f64 b_2 2 (fma.f64 1/2 (/.f64 (*.f64 a (neg.f64 c)) b_2) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1)))))))
(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 (neg.f64 a) (/.f64 c b_2)) (*.f64 (/.f64 (*.f64 c (*.f64 c -1/8)) (pow.f64 b_2 3)) (*.f64 a a)))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))))
(*.f64 -1/2 (/.f64 (*.f64 a (neg.f64 c)) b_2))
(/.f64 (*.f64 c -1/2) (/.f64 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 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 -1/2 (/.f64 (*.f64 a (neg.f64 c)) b_2) (*.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 3)) (*.f64 a (*.f64 a 1)))))
(fma.f64 -1/2 (*.f64 (neg.f64 a) (/.f64 c b_2)) (/.f64 (*.f64 1/8 (*.f64 c c)) (/.f64 (pow.f64 b_2 3) (*.f64 a 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 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (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 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 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 (*.f64 a (neg.f64 c)) b_2) (/.f64 -1/16 (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 c 3) (*.f64 -1 (pow.f64 a 3)))))))
(fma.f64 -1/2 (*.f64 (neg.f64 a) (/.f64 c b_2)) (fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 c 3) (neg.f64 (pow.f64 a 3))))))
(+.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 c c) (/.f64 (pow.f64 b_2 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a)))) (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 a 4) (pow.f64 (sqrt.f64 -1) 8))))) (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 c (/.f64 b_2 (*.f64 a (pow.f64 (sqrt.f64 -1) 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 (pow.f64 c 4) (*.f64 1 (pow.f64 a 4))) (pow.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a (*.f64 a 1)) -1/8)) 2)) (pow.f64 b_2 7)) (fma.f64 -1/2 (/.f64 (*.f64 a (neg.f64 c)) b_2) (/.f64 -1/16 (/.f64 (pow.f64 b_2 5) (*.f64 (pow.f64 c 3) (*.f64 -1 (pow.f64 a 3))))))))
(fma.f64 1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 (pow.f64 c 4) 1/16))) (pow.f64 b_2 7)) (fma.f64 -1/2 (*.f64 (neg.f64 a) (/.f64 c b_2)) (fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (pow.f64 c 3) (neg.f64 (pow.f64 a 3)))))))
(*.f64 2 b_2)
(*.f64 b_2 2)
(*.f64 2 b_2)
(*.f64 b_2 2)

eval616.0ms (3.4%)

Compiler

Compiled 23819 to 7914 computations (66.8% saved)

prune361.0ms (2%)

Pruning

43 alts after pruning (40 fresh and 3 done)

PrunedKeptTotal
New1026261052
Fresh31417
Picked101
Done235
Total1032431075
Error
7.7b
Counts
1075 → 43
Alt Table
Click to see full alt table
StatusErrorProgram
53.7b
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) 1) a)
47.8b
(*.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
46.5b
(/.f64 (+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
59.5b
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))
35.5b
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) a)
45.2b
(*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))
45.8b
(/.f64 (*.f64 b_2 -2) a)
50.9b
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
46.1b
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
43.0b
(*.f64 (/.f64 1 a) (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))
60.7b
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
59.2b
(/.f64 (neg.f64 b_2) a)
51.1b
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) a)
59.3b
(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)
41.8b
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 -1/2 b_2) c))
45.9b
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
53.5b
(/.f64 (*.f64 -1/2 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2)))) 3))) a)
39.0b
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))) a)
46.1b
(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
40.1b
(/.f64 -1/2 (/.f64 b_2 c))
56.0b
(exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
40.1b
(*.f64 (/.f64 -1/2 b_2) c)
45.8b
(*.f64 (*.f64 b_2 2) (/.f64 1 (neg.f64 a)))
45.4b
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
40.0b
(/.f64 c (/.f64 b_2 -1/2))
46.1b
(/.f64 (fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 -2 b_2)) a)
53.5b
(/.f64 (*.f64 -1/2 (exp.f64 (log.f64 (*.f64 c (/.f64 a b_2))))) a)
35.5b
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
43.0b
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a)
57.0b
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
52.6b
(/.f64 (sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 c (/.f64 a b_2)) 2))) a)
48.1b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (cbrt.f64 a)))
51.0b
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))))
54.1b
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))
45.8b
(/.f64 -2 (/.f64 a b_2))
37.8b
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
45.4b
(/.f64 (/.f64 1 (/.f64 (/.f64 b_2 a) (*.f64 -1/2 c))) a)
47.0b
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
46.0b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
46.8b
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))))
55.6b
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
46.2b
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))
48.1b
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
Compiler

Compiled 1163 to 825 computations (29.1% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
1.7b
(+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))))
26.5b
(sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
53.6b
(fma.f64 a (neg.f64 c) (*.f64 a c))
Compiler

Compiled 105 to 13 computations (87.6% saved)

series64.0ms (0.4%)

Counts
4 → 100
Calls

33 calls:

TimeVariablePointExpression
16.0ms
a
@-inf
(sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
12.0ms
c
@-inf
(sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
2.0ms
a
@inf
(sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
2.0ms
b_2
@0
(sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
2.0ms
c
@inf
(sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))

rewrite237.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
600×fma-def_binary64
592×log-prod_binary64
348×fma-neg_binary64
322×pow2_binary64
221×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01379
128457
2411957
Stop Event
node limit
Counts
4 → 207
Calls
Call 1
Inputs
(fma.f64 a (neg.f64 c) (*.f64 a c))
(sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))
(+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))))
(+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a c) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a c) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 c c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (+.f64 c c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (+.f64 c c))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 c c))) 2) (cbrt.f64 (*.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (+.f64 c c))) (sqrt.f64 (*.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (pow.f64 (*.f64 a c) 2) (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 c c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 c c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (+.f64 c c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (+.f64 c c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (+.f64 c c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 c c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 c) a) (pow.f64 (exp.f64 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (pow.f64 (exp.f64 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 c) a) (+.f64 1 (expm1.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (+.f64 1 (expm1.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (pow.f64 (exp.f64 c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 c) a) (+.f64 1 (expm1.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (+.f64 1 (expm1.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (+.f64 c c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (+.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 c c))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))) (cbrt.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2)))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))) (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.f64 b_2 3) (pow.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)) 3/2)) (sqrt.f64 (fma.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)) (fma.f64 a c (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2))) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)) 2))) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))) (/.f64 (fma.f64 a c (fma.f64 a (+.f64 c c) (*.f64 b_2 b_2))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))) 0) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))) (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))) 2) (cbrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))) (sqrt.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (fma.f64 a c (fma.f64 a 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simplify69.0ms (0.4%)

Algorithm
egg-herbie
Rules
820×fma-def_binary64
796×distribute-rgt-in_binary64
775×associate-/l*_binary64
751×distribute-lft-in_binary64
638×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01841967
15851596
221511528
Stop Event
node limit
Counts
307 → 285
Calls
Call 1
Inputs
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))))))
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 5))))) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))))
b_2
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) b_2)
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) b_2))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
(*.f64 -1 b_2)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 -1 b_2))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 -1 b_2)))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (+.f64 (*.f64 -1 b_2) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
b_2
(+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))))
b_2
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) b_2)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 b_2 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 b_2 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))))))
(sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))
(+.f64 (*.f64 -1 b_2) (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))
(+.f64 (*.f64 -1 b_2) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))))))
(+.f64 (*.f64 -1 b_2) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))))
(*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 4)) (pow.f64 (*.f64 -1/8 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2)) 2)) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
(*.f64 -2 b_2)
(+.f64 (*.f64 -2 b_2) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3)))))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 b_2 3))) 2))) b_2)))))
(+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(pow.f64 b_2 2)
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(pow.f64 b_2 2)
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(pow.f64 b_2 2)
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(*.f64 (+.f64 c (*.f64 -2 c)) a)
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(*.f64 (+.f64 a (*.f64 -2 a)) c)
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a))))
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2))
Outputs
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 a (+.f64 c (*.f64 -1 c)))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 a (+.f64 c (*.f64 -1 c))))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 c (+.f64 a (*.f64 -1 a)))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 a (*.f64 0 c))
0
(*.f64 -1 (*.f64 c (+.f64 a (*.f64 -1 a))))
(*.f64 a (*.f64 0 c))
0
(sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))
(sqrt.f64 (*.f64 -1 (*.f64 a c)))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))
(+.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) (*.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 -1 (*.f64 a c)))))))
(fma.f64 1/2 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 (/.f64 -1 (*.f64 a c))))) (sqrt.f64 (*.f64 a (neg.f64 c))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))))))
(+.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) (fma.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 -1 (*.f64 a c)) 3)))) (*.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 -1 (*.f64 a c))))))))
(+.f64 (fma.f64 1/2 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 (/.f64 -1 (*.f64 a c))))) (sqrt.f64 (*.f64 a (neg.f64 c)))) (*.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 3))) -1/8)))
(fma.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 (*.f64 a c) 3))) -1/8) (fma.f64 1/2 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 (/.f64 -1 (*.f64 a c))))) (sqrt.f64 (*.f64 a (neg.f64 c)))))
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 5))))) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))))
(fma.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 -1 (*.f64 a c)) 5)))) (+.f64 (sqrt.f64 (*.f64 -1 (*.f64 a c))) (fma.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 -1 (*.f64 a c)) 3)))) (*.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 -1 (*.f64 a c)))))))))
(+.f64 (fma.f64 1/2 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 (/.f64 -1 (*.f64 a c))))) (*.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 3))) -1/8))) (fma.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 5)))) (sqrt.f64 (*.f64 a (neg.f64 c)))))
(fma.f64 1/16 (*.f64 (pow.f64 b_2 6) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 5)))) (fma.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 (*.f64 a c) 3))) -1/8) (fma.f64 1/2 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 (/.f64 -1 (*.f64 a c))))) (sqrt.f64 (*.f64 a (neg.f64 c))))))
b_2
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) b_2)
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) b_2)
(+.f64 b_2 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))
(+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) b_2))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 -1 b_2))
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (neg.f64 b_2))
(-.f64 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2) b_2)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 -1 b_2)))
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (neg.f64 b_2)))
(-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2)) b_2)
(fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (-.f64 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2) b_2))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (+.f64 (*.f64 -1 b_2) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
(fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (fma.f64 -1 b_2 (*.f64 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)) -1/16))))
(+.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2)) b_2) (*.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) -1/16))
(-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) -1/16 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2))) b_2)
b_2
(+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) b_2)
(+.f64 b_2 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))
(+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))
b_2
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) b_2)
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) b_2)
(+.f64 b_2 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))
(+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 b_2 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (+.f64 b_2 (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 b_2 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) b_2) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))
(sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))
(sqrt.f64 (*.f64 -1 (*.f64 a c)))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.f64 (*.f64 -1 b_2) (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))
(fma.f64 -1 b_2 (sqrt.f64 (*.f64 -1 (*.f64 a c))))
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(+.f64 (*.f64 -1 b_2) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))))))))
(+.f64 (fma.f64 -1 b_2 (sqrt.f64 (*.f64 -1 (*.f64 a c)))) (*.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 -1 (*.f64 a c)))))))
(-.f64 (fma.f64 1/2 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 (/.f64 -1 (*.f64 a c))))) (sqrt.f64 (*.f64 a (neg.f64 c)))) b_2)
(+.f64 (*.f64 -1 b_2) (+.f64 (sqrt.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3))))) (*.f64 1/2 (*.f64 (pow.f64 b_2 2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))))))))))
(+.f64 (fma.f64 -1 b_2 (sqrt.f64 (*.f64 -1 (*.f64 a c)))) (fma.f64 -1/8 (*.f64 (pow.f64 b_2 4) (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 -1 (*.f64 a c)) 3)))) (*.f64 1/2 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 -1 (*.f64 a c))))))))
(+.f64 (fma.f64 1/2 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 (/.f64 -1 (*.f64 a c))))) (*.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a (neg.f64 c)) 3))) -1/8))) (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2))
(-.f64 (fma.f64 (pow.f64 b_2 4) (*.f64 (sqrt.f64 (/.f64 -1 (pow.f64 (*.f64 a c) 3))) -1/8) (fma.f64 1/2 (*.f64 b_2 (*.f64 b_2 (sqrt.f64 (/.f64 -1 (*.f64 a c))))) (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2)
(*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2))
(*.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2))
(/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)
(/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (*.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3))))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5)))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 4)) (pow.f64 (*.f64 -1/8 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2)) 2)) (pow.f64 b_2 7))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (pow.f64 (*.f64 -1 (*.f64 a c)) 4) (pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 -1 (*.f64 a c)) 2)) 2)) (pow.f64 b_2 7)) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5))))))
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (pow.f64 (*.f64 a (neg.f64 c)) 4) (*.f64 (pow.f64 (*.f64 a (neg.f64 c)) 4) 1/64)) (pow.f64 b_2 7)) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5))))))
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (*.f64 a (neg.f64 c)) 4) 5/64) (pow.f64 b_2 7)) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))))
(*.f64 -2 b_2)
(+.f64 (*.f64 -2 b_2) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)))
(fma.f64 -2 b_2 (*.f64 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) -1/2))
(fma.f64 -2 b_2 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3)))))
(fma.f64 -2 b_2 (fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (*.f64 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) 1/8)))
(fma.f64 -2 b_2 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2)))
(fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (fma.f64 -2 b_2 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2)))
(+.f64 (*.f64 -2 b_2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) b_2)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 2) (pow.f64 b_2 3))) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a))) 3) (pow.f64 b_2 5))))))
(fma.f64 -2 b_2 (fma.f64 -1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (*.f64 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)) -1/16))))
(+.f64 (fma.f64 -2 b_2 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2)) (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (*.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) -1/16)))
(fma.f64 -2 b_2 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) 1/8 (fma.f64 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) -1/16 (/.f64 (*.f64 1/2 (*.f64 a c)) b_2))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))
(*.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2))
(/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)
(/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (*.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3))))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 2) (pow.f64 b_2 3))) 2))) b_2)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 c (*.f64 -2 c)) 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) b_2)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (neg.f64 c) 2) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b_2 (fma.f64 1/16 (/.f64 (pow.f64 (neg.f64 c) 4) (pow.f64 b_2 6)) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 (neg.f64 c) 2) (pow.f64 b_2 3))) 2)))) (fma.f64 1/16 (/.f64 (pow.f64 (neg.f64 c) 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (neg.f64 c) (/.f64 b_2 a))))))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b_2) (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64))) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 (neg.f64 c) 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 c 4) b_2) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 5/64)) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))))
(*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2))
(*.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2))
(/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)
(/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (*.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3))))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3)))))
(fma.f64 1/2 (/.f64 (*.f64 -1 (*.f64 a c)) b_2) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 2) (pow.f64 b_2 3)) (*.f64 1/16 (/.f64 (pow.f64 (*.f64 -1 (*.f64 a c)) 3) (pow.f64 b_2 5)))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2)))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c)))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 3) (pow.f64 c 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) b_2)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 c 2)) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 4) (pow.f64 b_2 6))) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 a (*.f64 -2 a)) 2) (pow.f64 b_2 3))) 2))) b_2)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (neg.f64 c) 2) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b_2 (fma.f64 1/16 (/.f64 (pow.f64 (neg.f64 c) 4) (pow.f64 b_2 6)) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 (neg.f64 c) 2) (pow.f64 b_2 3))) 2)))) (fma.f64 1/16 (/.f64 (pow.f64 (neg.f64 c) 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3))) (*.f64 1/2 (/.f64 (neg.f64 c) (/.f64 b_2 a))))))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b_2) (fma.f64 1/16 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 6)) 1/64))) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 (neg.f64 c) 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (/.f64 (*.f64 -1/2 (*.f64 a c)) b_2))))
(fma.f64 -1/8 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 2) (pow.f64 b_2 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 c 4) b_2) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 5/64)) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (neg.f64 c)) 3) (pow.f64 b_2 5)) (/.f64 -1/2 (/.f64 b_2 (*.f64 a c))))))
(+.f64 (*.f64 c a) (*.f64 -2 (*.f64 c a)))
(*.f64 -1 (*.f64 a c))
(*.f64 a (neg.f64 c))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 c a) (+.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 b_2 2)))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(*.f64 (+.f64 c (*.f64 -2 c)) a)
(*.f64 -1 (*.f64 a c))
(*.f64 a (neg.f64 c))
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 (+.f64 c (*.f64 -2 c)) a) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a))
(*.f64 -1 (*.f64 a c))
(*.f64 a (neg.f64 c))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 2 c)) a)) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(pow.f64 b_2 2)
(*.f64 b_2 b_2)
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(*.f64 (+.f64 a (*.f64 -2 a)) c)
(*.f64 -1 (*.f64 a c))
(*.f64 a (neg.f64 c))
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 (+.f64 a (*.f64 -2 a)) c) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a))))
(*.f64 -1 (*.f64 a c))
(*.f64 a (neg.f64 c))
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
(+.f64 (*.f64 -1 (*.f64 c (+.f64 (*.f64 2 a) (*.f64 -1 a)))) (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (*.f64 a c)) (*.f64 b_2 b_2))
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))

localize5.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))))
0.3b
(/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a)))
12.5b
(*.f64 (/.f64 a c) (/.f64 b_2 a))
Compiler

Compiled 41 to 14 computations (65.9% saved)

series10.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

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

rewrite74.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
630×log-prod_binary64
430×pow-prod-down_binary64
305×pow2_binary64
228×log-div_binary64
226×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01136
123933
2330733
Stop Event
node limit
Counts
3 → 132
Calls
Call 1
Inputs
(*.f64 (/.f64 a c) (/.f64 b_2 a))
(/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 a c) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) (/.f64 a c))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) (/.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) (/.f64 a c)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) (/.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 c (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 (/.f64 a b_2) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 (*.f64 a c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 c (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a c) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (*.f64 (/.f64 c a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (*.f64 a (/.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b_2 a) (/.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 a b_2) (/.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a c) (*.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 c (/.f64 a (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (/.f64 a c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) 2) (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) (sqrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a c) (neg.f64 (/.f64 b_2 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b_2) (*.f64 (/.f64 c a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (*.f64 (/.f64 a b_2) (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a b_2) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (/.f64 a b_2)) c)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a c) b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a b_2)) (neg.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 a (/.f64 a b_2))) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 a c) b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) 1) (*.f64 (neg.f64 c) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) 1) (*.f64 (neg.f64 a) (/.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) b_2) (*.f64 (neg.f64 c) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 b_2)) (*.f64 c (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) (neg.f64 b_2)) (*.f64 (neg.f64 c) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) a) (*.f64 (neg.f64 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 (neg.f64 a)) (*.f64 a (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) (neg.f64 a)) (*.f64 (neg.f64 a) (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a (/.f64 a b_2)) 1) c)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a (/.f64 a b_2)) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a (/.f64 a b_2)) (sqrt.f64 c)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 a c) b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 a c) b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 a c) b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) (/.f64 b_2 a)) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) (/.f64 a c)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a c) (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b_2 a) (neg.f64 a)) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a c) (*.f64 a b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (/.f64 a (/.f64 a b_2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (/.f64 a c) b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) (/.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 a b_2) (/.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 a b_2) (/.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) 2) (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) (sqrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (/.f64 a c) (neg.f64 (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b_2) (/.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c a) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c a) 1) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a b_2)) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 a (/.f64 a b_2))) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c a) b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c a) (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -2) (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 (/.f64 a c) (neg.f64 (/.f64 b_2 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (/.f64 a b_2) (/.f64 c a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (/.f64 a b_2) (/.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (/.f64 a b_2) (/.f64 c a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (/.f64 a b_2) (/.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 (/.f64 a c) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (/.f64 a c) (neg.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 (/.f64 b_2 a)) (/.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) 2)) (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 (sqrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)))) (sqrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 c a) -1/2) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 c a)) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) -2) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)) -2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (/.f64 a b_2) (/.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2)) 1))))))

simplify55.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
07540
110540
213540
317540
418540
Stop Event
saturated
Counts
240 → 136
Calls
Call 1
Inputs
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_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 c b_2))
Outputs
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 b_2 c)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(/.f64 c (/.f64 b_2 -1/2))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)
0.2b
(pow.f64 (/.f64 b_2 a) 2)
19.4b
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))
Compiler

Compiled 30 to 17 computations (43.3% saved)

series11.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
b_2
@0
(*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)
1.0ms
a
@0
(*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)
1.0ms
b_2
@inf
(*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)
1.0ms
b_2
@-inf
(pow.f64 (/.f64 b_2 a) 2)
1.0ms
a
@-inf
(pow.f64 (/.f64 b_2 a) 2)

rewrite62.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
820×pow1_binary64
761×add-log-exp_binary64
761×log1p-expm1-u_binary64
761×expm1-log1p-u_binary64
743×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
118824
2215424
Stop Event
node limit
Counts
3 → 70
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))
(pow.f64 (/.f64 b_2 a) 2)
(*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 b_2 a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 a) (pow.f64 4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b_2 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 b_2 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2) (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 b_2 a) 2)) (sqrt.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 4) 16))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 4 1/2) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (/.f64 b_2 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 4) 16)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b_2 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 b_2 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 b_2 a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b_2 (*.f64 (pow.f64 a -1) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b_2 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 b_2 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b_2 b_2) (*.f64 (pow.f64 a -1) (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b_2 b_2) (pow.f64 (pow.f64 a -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b_2 a) 4)) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (cbrt.f64 (pow.f64 (/.f64 b_2 a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (*.f64 (cbrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 b_2 a)) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b_2 a) b_2) (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b_2 a) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (*.f64 (/.f64 a b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (*.f64 a (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b_2 a) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 a b_2) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 b_2) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b_2) (*.f64 (/.f64 a b_2) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) (neg.f64 b_2)) (*.f64 (neg.f64 a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) b_2) (*.f64 (neg.f64 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) 1) (*.f64 (neg.f64 a) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 (neg.f64 b_2)) (*.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 (/.f64 b_2 a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) (/.f64 b_2 a)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b_2 a) b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 b_2 a) (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b_2 a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 b_2 a) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 b_2 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b_2 a) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 4) 16) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))))))

simplify142.0ms (0.8%)

Algorithm
egg-herbie
Rules
775×associate-/l*_binary64
482×sqr-pow_binary64
481×associate-/r*_binary64
377×associate-/l/_binary64
370×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013720
130720
261720
3177720
4873720
55339720
66081720
76315720
86528720
96776720
107113720
117547720
Stop Event
node limit
Counts
142 → 77
Calls
Call 1
Inputs
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
Outputs
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 b_2 a) -2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 b_2 a) -2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 b_2 a) -2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 b_2 a) -2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 b_2 a) -2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 b_2 a) -2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 b_2 a) -2)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 b_2 a) -2)
(*.f64 b_2 (/.f64 -2 a))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (*.f64 b_2 b_2) (*.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(*.f64 b_2 (/.f64 b_2 (*.f64 a a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))
(*.f64 4 (/.f64 (pow.f64 b_2 2) (pow.f64 a 2)))
(*.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) 4)
(*.f64 (*.f64 (/.f64 b_2 a) (/.f64 b_2 a)) 4)
(*.f64 (/.f64 b_2 a) (*.f64 (/.f64 b_2 a) 4))
(*.f64 b_2 (/.f64 4 (/.f64 a (/.f64 b_2 a))))
(*.f64 b_2 (*.f64 (/.f64 4 a) (/.f64 b_2 a)))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
1.5b
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
10.1b
(/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
15.2b
(sqrt.f64 (*.f64 a (neg.f64 c)))
Compiler

Compiled 69 to 12 computations (82.6% saved)

series32.0ms (0.2%)

Counts
2 → 28
Calls

18 calls:

TimeVariablePointExpression
6.0ms
c
@-inf
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
5.0ms
c
@inf
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
3.0ms
a
@inf
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
3.0ms
a
@-inf
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
2.0ms
c
@-inf
(/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))

rewrite84.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
708×prod-diff_binary64
675×log-prod_binary64
238×fma-def_binary64
211×expm1-udef_binary64
211×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01347
129339
2460539
Stop Event
node limit
Counts
2 → 104
Calls
Call 1
Inputs
(/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
Outputs
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(*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 c a) a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 c a)))))) 1))))))

simplify56.0ms (0.3%)

Algorithm
egg-herbie
Rules
827×associate-/l*_binary64
682×associate-/r*_binary64
370×associate-*l/_binary64
305×associate-*r/_binary64
250×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01911472
16171146
228871003
Stop Event
node limit
Counts
132 → 151
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b_2 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1)))))))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 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) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (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) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (*.f64 1/128 (/.f64 (*.f64 (pow.f64 c 4) (*.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 4) (*.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 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (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) 2) (pow.f64 a 2))) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))))
(*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3)))))
(+.f64 (*.f64 2 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))) (pow.f64 b_2 3))) (*.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) a)))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 3)))) (*.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) (pow.f64 a 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2))))))))))) (pow.f64 b_2 5))))))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.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))))))
Outputs
(*.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 (*.f64 -1/2 (/.f64 c b_2)) a)
(*.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 (*.f64 -1/2 (/.f64 c b_2)) a)
(*.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 (pow.f64 (sqrt.f64 -1) 2)) (*.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 (pow.f64 (sqrt.f64 -1) 2)))
(-.f64 (/.f64 b_2 -1) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (*.f64 (pow.f64 b_2 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -1))))))
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(fma.f64 -1/2 (/.f64 c b_2) (*.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) -1) (pow.f64 b_2 3))))
(fma.f64 -1/2 (/.f64 c b_2) (/.f64 (*.f64 1/8 (*.f64 a (*.f64 c (neg.f64 c)))) (pow.f64 b_2 3)))
(+.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 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) a) (pow.f64 b_2 3)) (fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 5)) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) -1) (pow.f64 b_2 3)) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 -1/16 (/.f64 (*.f64 a (*.f64 a 1)) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))))))
(fma.f64 1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) (neg.f64 a)) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 (/.f64 -1/16 (pow.f64 b_2 5)) (*.f64 (*.f64 a a) (pow.f64 c 3)))))
(+.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 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) a) (pow.f64 b_2 3)) (fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 a a))) (pow.f64 b_2 5)) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 1/32 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))))))))
(fma.f64 1/128 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b_2 7)) (*.f64 -1 (pow.f64 a 3))) (fma.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) -1) (pow.f64 b_2 3)) (fma.f64 -1/16 (/.f64 (*.f64 a (*.f64 a 1)) (/.f64 (pow.f64 b_2 5) (pow.f64 c 3))) (fma.f64 -1/2 (/.f64 c b_2) (/.f64 (*.f64 (*.f64 1/32 (pow.f64 c 4)) (*.f64 -1 (pow.f64 a 3))) (pow.f64 b_2 7))))))
(fma.f64 1/128 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (neg.f64 (pow.f64 a 3)))) (fma.f64 1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) c)) (neg.f64 a)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 c b_2) (*.f64 1/32 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b_2 7) (neg.f64 (pow.f64 a 3)))))))))
(*.f64 2 (/.f64 b_2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
(/.f64 (*.f64 2 b_2) (*.f64 a (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(+.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 1/2 (/.f64 c b_2) (/.f64 (*.f64 -2 b_2) a))
(+.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 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) a) 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 (*.f64 c c) a) -1) (pow.f64 b_2 3)))))
(+.f64 (*.f64 1/2 (/.f64 c b_2)) (fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 a (*.f64 (*.f64 c c) 1/8)) (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 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) a) 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 a 4) (pow.f64 (sqrt.f64 -1) 8))))) (*.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 (*.f64 c c) (pow.f64 (sqrt.f64 -1) 2)) a) 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 (*.f64 c c) a) -1) (pow.f64 b_2 3)))) (/.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 a 1)) -1/8)) 2)) (*.f64 c (*.f64 a (*.f64 a 1)))) (fma.f64 (*.f64 c 1/4) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) -1) (*.f64 1/8 a))) (*.f64 (pow.f64 c 3) (*.f64 (*.f64 a (*.f64 a 1)) 1/16)))) (pow.f64 b_2 5))))
(+.f64 (-.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 (fma.f64 -2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 (pow.f64 c 4) 1/64) (*.f64 (pow.f64 c 4) 1/16))) (*.f64 c (*.f64 a a))) (fma.f64 1/4 (*.f64 c (*.f64 a (*.f64 a (*.f64 (*.f64 c c) 1/8)))) (*.f64 (pow.f64 c 3) (*.f64 (*.f64 a a) 1/16)))) (pow.f64 b_2 5))) (fma.f64 -2 (/.f64 b_2 a) (/.f64 (*.f64 a (*.f64 (*.f64 c c) 1/8)) (pow.f64 b_2 3))))

eval442.0ms (2.4%)

Compiler

Compiled 16356 to 7359 computations (55% saved)

prune323.0ms (1.8%)

Pruning

40 alts after pruning (35 fresh and 5 done)

PrunedKeptTotal
New72317740
Fresh171835
Picked011
Done347
Total74340783
Error
7.7b
Counts
783 → 40
Alt Table
Click to see full alt table
StatusErrorProgram
47.8b
(*.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
46.5b
(/.f64 (+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
35.5b
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) a)
45.2b
(*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))
45.8b
(/.f64 (*.f64 b_2 -2) a)
45.9b
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
46.1b
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
47.0b
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3))
60.7b
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
46.8b
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) 3))
62.4b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3)
48.1b
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
62.5b
(pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3)
59.2b
(/.f64 (neg.f64 b_2) a)
58.8b
(sqrt.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (*.f64 a a))) 4))
53.5b
(/.f64 (*.f64 -1/2 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2)))) 3))) a)
39.0b
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))) a)
45.0b
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (fma.f64 b_2 2 (/.f64 (*.f64 a (*.f64 1/2 (neg.f64 c))) b_2))) a)
45.8b
(*.f64 b_2 (/.f64 -2 a))
46.1b
(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
40.1b
(/.f64 -1/2 (/.f64 b_2 c))
40.0b
(/.f64 c (/.f64 b_2 -1/2))
45.4b
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
35.5b
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
62.4b
(/.f64 (*.f64 2 b_2) a)
46.1b
(/.f64 (fma.f64 (*.f64 (/.f64 c b_2) a) 1/2 (*.f64 -2 b_2)) a)
57.0b
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
52.6b
(/.f64 (sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 c (/.f64 a b_2)) 2))) a)
48.1b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (cbrt.f64 a)))
51.0b
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))))
59.6b
(sqrt.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (/.f64 b_2 a) 2))) 4))
63.0b
(exp.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)))
54.1b
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))
46.5b
(*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a))
37.8b
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
47.0b
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
44.5b
(*.f64 -1/2 (/.f64 1 (/.f64 (/.f64 (/.f64 a (/.f64 a b_2)) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c))))
46.0b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
47.6b
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2)))
46.8b
(/.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a))
Compiler

Compiled 1044 to 750 computations (28.2% saved)

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
5.6b
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))
21.4b
(+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2)))
27.3b
(log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
Compiler

Compiled 81 to 23 computations (71.6% saved)

series29.0ms (0.2%)

Counts
3 → 76
Calls

27 calls:

TimeVariablePointExpression
3.0ms
c
@inf
(log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
2.0ms
b_2
@0
(log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
2.0ms
b_2
@inf
(log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
1.0ms
a
@inf
(log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
1.0ms
a
@0
(log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

rewrite122.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
638×log-prod_binary64
611×fma-def_binary64
339×pow2_binary64
323×fma-neg_binary64
232×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01343
128839
2398837
Stop Event
node limit
Counts
3 → 155
Calls
Call 1
Inputs
(log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))
(+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (log.f64 (*.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (log.f64 (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))))))) 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simplify119.0ms (0.7%)

Algorithm
egg-herbie
Rules
803×associate-*r*_binary64
781×associate-/r*_binary64
739×associate-/l*_binary64
677×associate-*l*_binary64
332×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02202586
16942486
223722420
Stop Event
node limit
Counts
231 → 253
Calls
Call 1
Inputs
(log.f64 (neg.f64 (*.f64 c a)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (log.f64 (neg.f64 (*.f64 c a))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (log.f64 (neg.f64 (*.f64 c a)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (log.f64 (neg.f64 (*.f64 c a))))))
(*.f64 -2 (log.f64 (/.f64 1 b_2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (*.f64 -2 (log.f64 (/.f64 1 b_2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))) (*.f64 -2 (log.f64 (/.f64 1 b_2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))) (*.f64 -2 (log.f64 (/.f64 1 b_2))))))
(*.f64 -2 (log.f64 (/.f64 -1 b_2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (*.f64 -2 (log.f64 (/.f64 -1 b_2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b_2))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b_2))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))))))
(log.f64 (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (log.f64 (pow.f64 b_2 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (log.f64 (neg.f64 c))))))
(+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (neg.f64 (*.f64 -1 c))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(log.f64 (pow.f64 b_2 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (log.f64 (pow.f64 b_2 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))))))
(+.f64 (log.f64 (neg.f64 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (neg.f64 a))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (log.f64 (neg.f64 a)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 c))) (+.f64 (log.f64 (neg.f64 a)) (*.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (log.f64 (neg.f64 (*.f64 -1 a))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 c))) (*.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))))
(*.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 (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)))))
Outputs
(log.f64 (neg.f64 (*.f64 c a)))
(log.f64 (*.f64 c (neg.f64 a)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (log.f64 (neg.f64 (*.f64 c a))))
(fma.f64 -1 (/.f64 (*.f64 b_2 b_2) (*.f64 c a)) (log.f64 (*.f64 c (neg.f64 a))))
(-.f64 (log.f64 (*.f64 c (neg.f64 a))) (*.f64 (/.f64 b_2 a) (/.f64 b_2 c)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (log.f64 (neg.f64 (*.f64 c a)))))
(fma.f64 -1 (/.f64 (*.f64 b_2 b_2) (*.f64 c a)) (fma.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (*.f64 c c) (*.f64 a a))) (log.f64 (*.f64 c (neg.f64 a)))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (*.f64 c a) (*.f64 c a))) (log.f64 (*.f64 c (neg.f64 a)))) (*.f64 (/.f64 b_2 a) (/.f64 b_2 c)))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (pow.f64 b_2 4) c) c) (*.f64 a a)) (log.f64 (*.f64 c (neg.f64 a)))) (*.f64 (/.f64 b_2 a) (/.f64 b_2 c)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b_2 2) (*.f64 c a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (log.f64 (neg.f64 (*.f64 c a))))))
(fma.f64 -1 (/.f64 (*.f64 b_2 b_2) (*.f64 c a)) (fma.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (*.f64 c c) (*.f64 a a))) (fma.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (log.f64 (*.f64 c (neg.f64 a))))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 b_2 4) (*.f64 (*.f64 c a) (*.f64 c a))) (fma.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (log.f64 (*.f64 c (neg.f64 a))))) (*.f64 (/.f64 b_2 a) (/.f64 b_2 c)))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (pow.f64 b_2 4) c) c) (*.f64 a a)) (fma.f64 -1/3 (/.f64 (pow.f64 b_2 6) (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (log.f64 (*.f64 c (neg.f64 a))))) (*.f64 (/.f64 b_2 a) (/.f64 b_2 c)))
(*.f64 -2 (log.f64 (/.f64 1 b_2)))
(*.f64 -2 (neg.f64 (log.f64 b_2)))
(*.f64 2 (log.f64 b_2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (*.f64 -2 (log.f64 (/.f64 1 b_2))))
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) (*.f64 -2 (neg.f64 (log.f64 b_2))))
(fma.f64 -2 (neg.f64 (log.f64 b_2)) (*.f64 (/.f64 c b_2) (/.f64 (neg.f64 a) b_2)))
(fma.f64 2 (log.f64 b_2) (/.f64 (/.f64 c (/.f64 b_2 (neg.f64 a))) b_2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))) (*.f64 -2 (log.f64 (/.f64 1 b_2)))))
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 4)) (*.f64 -2 (neg.f64 (log.f64 b_2)))))
(-.f64 (fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) c)) (*.f64 -2 (neg.f64 (log.f64 b_2)))) (*.f64 (/.f64 c b_2) (/.f64 a b_2)))
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 a (*.f64 c a)) (/.f64 (pow.f64 b_2 4) c)) (*.f64 2 (log.f64 b_2))) (*.f64 (/.f64 a (*.f64 b_2 b_2)) c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))) (*.f64 -2 (log.f64 (/.f64 1 b_2))))))
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) (fma.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 4)) (*.f64 -2 (neg.f64 (log.f64 b_2))))))
(-.f64 (fma.f64 -1/3 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) c)) (*.f64 -2 (neg.f64 (log.f64 b_2))))) (*.f64 (/.f64 c b_2) (/.f64 a b_2)))
(-.f64 (fma.f64 -1/3 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (*.f64 a (*.f64 c a)) (/.f64 (pow.f64 b_2 4) c)) (*.f64 2 (log.f64 b_2)))) (*.f64 (/.f64 a (*.f64 b_2 b_2)) c))
(*.f64 -2 (log.f64 (/.f64 -1 b_2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (*.f64 -2 (log.f64 (/.f64 -1 b_2))))
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) (*.f64 -2 (log.f64 (/.f64 -1 b_2))))
(fma.f64 -2 (log.f64 (/.f64 -1 b_2)) (*.f64 (/.f64 c b_2) (/.f64 (neg.f64 a) b_2)))
(fma.f64 -2 (log.f64 (/.f64 -1 b_2)) (/.f64 (/.f64 c (/.f64 b_2 (neg.f64 a))) b_2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b_2))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4)))))
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) (fma.f64 -2 (log.f64 (/.f64 -1 b_2)) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 4)))))
(-.f64 (fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) c)) (*.f64 -2 (log.f64 (/.f64 -1 b_2)))) (*.f64 (/.f64 c b_2) (/.f64 a b_2)))
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 a (*.f64 c a)) (/.f64 (pow.f64 b_2 4) c)) (*.f64 -2 (log.f64 (/.f64 -1 b_2)))) (*.f64 (/.f64 a (*.f64 b_2 b_2)) c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b_2))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))))))
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) (fma.f64 -2 (log.f64 (/.f64 -1 b_2)) (fma.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6)) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 4))))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b_2)) (fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) c)) (/.f64 (*.f64 -1/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b_2 6)))) (*.f64 (/.f64 c b_2) (/.f64 a b_2)))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b_2)) (fma.f64 -1/2 (/.f64 (*.f64 a (*.f64 c a)) (/.f64 (pow.f64 b_2 4) c)) (/.f64 (*.f64 -1/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b_2 6)))) (*.f64 (/.f64 a (*.f64 b_2 b_2)) c))
(log.f64 (pow.f64 b_2 2))
(*.f64 -2 (neg.f64 (log.f64 b_2)))
(*.f64 2 (log.f64 b_2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (log.f64 (pow.f64 b_2 2)))
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) (*.f64 -2 (neg.f64 (log.f64 b_2))))
(fma.f64 -2 (neg.f64 (log.f64 b_2)) (*.f64 (/.f64 c b_2) (/.f64 (neg.f64 a) b_2)))
(fma.f64 2 (log.f64 b_2) (/.f64 (/.f64 c (/.f64 b_2 (neg.f64 a))) b_2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4)))))
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 4)) (*.f64 -2 (neg.f64 (log.f64 b_2)))))
(-.f64 (fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 4) (*.f64 a a)) c)) (*.f64 -2 (neg.f64 (log.f64 b_2)))) (*.f64 (/.f64 c b_2) (/.f64 a b_2)))
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 a (*.f64 c a)) (/.f64 (pow.f64 b_2 4) c)) (*.f64 2 (log.f64 b_2))) (*.f64 (/.f64 a (*.f64 b_2 b_2)) c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 b_2 2))) (+.f64 (log.f64 (pow.f64 b_2 2)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 4))))))
(fma.f64 -1 (/.f64 c (/.f64 (*.f64 b_2 b_2) a)) (fma.f64 -1/3 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 6)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b_2 4)) (*.f64 -2 (neg.f64 (log.f64 b_2))))))
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(+.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 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 c (*.f64 c (/.f64 (*.f64 a (*.f64 a -1/8)) (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)) (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 (*.f64 c c) (*.f64 a a)) -1/8) 2)) (pow.f64 b_2 7)) (fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.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)) (*.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 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (pow.f64 b_2 7)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 c (*.f64 c (/.f64 (*.f64 a (*.f64 a -1/8)) (pow.f64 b_2 3)))))))
(*.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 (*.f64 c a) b_2)))
(fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (*.f64 b_2 -2))
(fma.f64 b_2 -2 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)))
(+.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 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 b_2 -2 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) 1/8 (*.f64 1/2 (/.f64 a (/.f64 b_2 c)))))
(fma.f64 b_2 -2 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) 1/8)))
(+.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 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) 1/16 (fma.f64 b_2 -2 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) 1/8 (*.f64 1/2 (/.f64 a (/.f64 b_2 c))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) 1/16 (fma.f64 b_2 -2 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) 1/8))))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(/.f64 -1/2 (/.f64 (/.f64 b_2 c) 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 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))))
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 c (*.f64 c (/.f64 (*.f64 a (*.f64 a -1/8)) (pow.f64 b_2 3)))))
(+.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 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 c (*.f64 c (/.f64 (*.f64 a (*.f64 a -1/8)) (pow.f64 b_2 3))))))
(+.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 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.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 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (+.f64 (/.f64 a (/.f64 b_2 c)) (/.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 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a 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 b_2) a) (*.f64 (/.f64 (pow.f64 c 4) b_2) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 5/64))) (*.f64 c (*.f64 c (/.f64 (*.f64 a (*.f64 a -1/8)) (pow.f64 b_2 3))))))
(*.f64 -1/2 (/.f64 (*.f64 c a) b_2))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(/.f64 -1/2 (/.f64 (/.f64 b_2 c) 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 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))))
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 c (*.f64 c (/.f64 (*.f64 a (*.f64 a -1/8)) (pow.f64 b_2 3)))))
(+.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 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) (*.f64 c (*.f64 c (/.f64 (*.f64 a (*.f64 a -1/8)) (pow.f64 b_2 3))))))
(+.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)))))
(fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.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 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (+.f64 (/.f64 a (/.f64 b_2 c)) (/.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 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a 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 b_2) a) (*.f64 (/.f64 (pow.f64 c 4) b_2) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b_2 6)) 5/64))) (*.f64 c (*.f64 c (/.f64 (*.f64 a (*.f64 a -1/8)) (pow.f64 b_2 3))))))
(*.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 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 c a)))) (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))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (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 1/2 (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 c a)))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 (/.f64 (pow.f64 b_2 4) -1) (sqrt.f64 -1)) -1/8))))
(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 (neg.f64 (sqrt.f64 -1)) (pow.f64 b_2 4))) (*.f64 1/2 (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 c a)))) (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)))))))
(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 (/.f64 1 (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 1/2 (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 c a)))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 (/.f64 (pow.f64 b_2 4) -1) (sqrt.f64 -1)) -1/8)))))
(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 (neg.f64 (sqrt.f64 -1)) (pow.f64 b_2 4))) (*.f64 1/2 (/.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 1 (*.f64 c a)))) (sqrt.f64 -1))))))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (*.f64 -1 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (neg.f64 b_2))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)
(+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) 1/8 (*.f64 1/2 (/.f64 a (/.f64 b_2 c)))) b_2)
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) 1/8)) b_2)
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1 b_2) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (*.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) 1/16 (-.f64 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) 1/8 (*.f64 1/2 (/.f64 a (/.f64 b_2 c)))) b_2))
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) 1/16 (-.f64 (fma.f64 1/2 (*.f64 (/.f64 c b_2) a) (*.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) 1/8)) b_2))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))
b_2
(+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)
(fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (+.f64 b_2 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)))
(fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 3)) c) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 c b_2) a) b_2)))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 b_2 (/.f64 -2 a))
Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite70.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
616×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
561×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11287
215567
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 b_2 (/.f64 -2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (*.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 b_2 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 -2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b_2 -2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 -2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 -2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 -2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 b_2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b_2 (/.f64 -2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b_2 (/.f64 -2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b_2 (/.f64 -2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b_2 (/.f64 -2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b_2 (/.f64 -2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b_2) (/.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b_2 (/.f64 -2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b_2 (/.f64 -2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b_2 (/.f64 -2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b_2 (/.f64 -2 a))))))))

simplify17.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
saturated
Counts
44 → 21
Calls
Call 1
Inputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
Outputs
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a))
0.4b
(/.f64 1 (*.f64 (/.f64 a c) b_2))
5.0b
(*.f64 (/.f64 a c) b_2)
9.5b
(*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a)
Compiler

Compiled 43 to 17 computations (60.5% saved)

series51.0ms (0.3%)

Counts
4 → 144
Calls

36 calls:

TimeVariablePointExpression
26.0ms
b_2
@-inf
(*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a)
5.0ms
a
@inf
(/.f64 1 (*.f64 (/.f64 a c) b_2))
1.0ms
c
@0
(*.f64 (/.f64 a c) b_2)
1.0ms
c
@-inf
(/.f64 1 (*.f64 (/.f64 a c) b_2))
1.0ms
c
@0
(/.f64 1 (*.f64 (/.f64 a c) b_2))

rewrite127.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
602×log-prod_binary64
459×exp-prod_binary64
362×pow-prod-down_binary64
286×pow2_binary64
249×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01140
123037
2298337
Stop Event
node limit
Counts
4 → 155
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a)
(*.f64 (/.f64 a c) b_2)
(/.f64 1 (*.f64 (/.f64 a c) b_2))
(*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c a) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c a) b_2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c a) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c a) b_2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c a) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 a c) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (*.f64 (/.f64 a c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (*.f64 (/.f64 a c) b_2) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 a) (/.f64 (*.f64 (/.f64 a c) b_2) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) (*.f64 (/.f64 a c) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a b_2) (/.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (/.f64 a c)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (sqrt.f64 (*.f64 (/.f64 a c) b_2))) (sqrt.f64 (*.f64 (/.f64 a c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a 1) (*.f64 (/.f64 a c) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) b_2)) 2)) (cbrt.f64 (*.f64 (/.f64 a c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 c a) a) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -1) (*.f64 (/.f64 a c) (neg.f64 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (/.f64 c a)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 a 3) (pow.f64 (*.f64 (/.f64 a c) b_2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 a c) b_2) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (*.f64 (/.f64 a c) b_2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) 1) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 c a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 c a) b_2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 c a) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 c a) b_2)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 c a) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 c a) b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 c a) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c a) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 c a) b_2)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 c a) b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 c a) b_2)) 2) (cbrt.f64 (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 c a) b_2)) (sqrt.f64 (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (/.f64 a c) (neg.f64 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c a) (/.f64 1 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b_2) (/.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) b_2)) -2) (cbrt.f64 (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a b_2)) c)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a c) b_2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 c a) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) b_2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) b_2) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) b_2) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a c) b_2) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 c a) b_2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) b_2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 c a) b_2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a c) b_2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (*.f64 (/.f64 a c) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 (/.f64 a c) (neg.f64 b_2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 c a) b_2))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 c a) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 c a) b_2)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 c a) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 a c) b_2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 c a) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 a c) b_2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 c a) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a c) b_2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 c a) b_2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 c a) b_2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 c a) b_2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 c a) b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 a c) b_2)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 a c) b_2)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 c a) b_2)) 1) 1))))))
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simplify54.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
010900
117900
225900
331900
433900
Stop Event
saturated
Counts
299 → 161
Calls
Call 1
Inputs
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 (*.f64 a b_2) c)
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a b_2))
(/.f64 c (*.f64 a 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 c b_2))
Outputs
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 c b_2)
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 (*.f64 a b_2) c)
(/.f64 a (/.f64 c b_2))
(*.f64 (/.f64 a c) b_2)
(*.f64 b_2 (/.f64 a c))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(/.f64 c (*.f64 a b_2))
(/.f64 (/.f64 c a) b_2)
(/.f64 c (*.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 c (/.f64 -1/2 b_2))

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (/.f64 b_2 a) 2)
2.4b
(exp.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)))
8.1b
(log.f64 (*.f64 (/.f64 b_2 a) 2))
Compiler

Compiled 27 to 14 computations (48.1% saved)

series159.0ms (0.9%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
61.0ms
b_2
@-inf
(log.f64 (*.f64 (/.f64 b_2 a) 2))
29.0ms
b_2
@0
(log.f64 (*.f64 (/.f64 b_2 a) 2))
23.0ms
a
@0
(log.f64 (*.f64 (/.f64 b_2 a) 2))
20.0ms
a
@-inf
(log.f64 (*.f64 (/.f64 b_2 a) 2))
10.0ms
a
@inf
(log.f64 (*.f64 (/.f64 b_2 a) 2))

rewrite102.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
740×pow1_binary64
685×add-log-exp_binary64
685×log1p-expm1-u_binary64
685×expm1-log1p-u_binary64
671×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
115223
2182223
Stop Event
node limit
Counts
3 → 89
Calls
Call 1
Inputs
(log.f64 (*.f64 (/.f64 b_2 a) 2))
(exp.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)))
(*.f64 (/.f64 b_2 a) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (log.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 b_2 a)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 b_2 a)) (*.f64 (log.f64 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (*.f64 4 (pow.f64 (/.f64 b_2 a) 2)))) (log.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 b_2 a) 2))) (log.f64 (sqrt.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (*.f64 (/.f64 b_2 a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (*.f64 b_2 2)) (log.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) 2) (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) (sqrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (/.f64 b_2 a)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (log.f64 (/.f64 b_2 a)) (log.f64 (/.f64 b_2 a))) (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 (/.f64 b_2 a)) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (/.f64 b_2 a)) (log.f64 (/.f64 b_2 a))) (*.f64 (log.f64 2) (log.f64 2))) (-.f64 (log.f64 (/.f64 b_2 a)) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 (/.f64 b_2 a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (/.f64 b_2 a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 b_2 a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b_2 (*.f64 (/.f64 1 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b_2 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 b_2 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) (cbrt.f64 (*.f64 4 (pow.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (pow.f64 (/.f64 b_2 a) 2))) (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (*.f64 (cbrt.f64 (/.f64 b_2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 b_2 a) 2)) (sqrt.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 b_2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b_2 2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 1) (/.f64 2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 2 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 (sqrt.f64 a)) (/.f64 2 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (/.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 b_2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b_2 2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) 2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b_2 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 b_2 a) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (/.f64 b_2 a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 b_2 a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (/.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 b_2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b_2 2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b_2 2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b_2 2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) 2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b_2 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 b_2 a) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)))))))

simplify122.0ms (0.7%)

Algorithm
egg-herbie
Rules
926×fma-neg_binary64
373×fma-def_binary64
223×cancel-sign-sub-inv_binary64
217×distribute-rgt-in_binary64
165×associate--r+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036632
168624
2114624
3289624
4744624
51458624
62518624
73241624
83476624
93503624
103503624
Stop Event
saturated
Counts
161 → 74
Calls
Call 1
Inputs
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2))))
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2))))
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2))))
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2))))
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 2 b_2)))
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 2 b_2)))
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 2 b_2)))
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 2 b_2)))
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 2 b_2)))
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 2 b_2)))
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 2 b_2)))
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 2 b_2)))
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 -2 b_2)))
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 -2 b_2)))
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 -2 b_2)))
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 -2 b_2)))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
(*.f64 2 (/.f64 b_2 a))
Outputs
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b_2))) (log.f64 (/.f64 2 a)))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2))))
(+.f64 (log.f64 (/.f64 -2 a)) (neg.f64 (log.f64 (/.f64 -1 b_2))))
(-.f64 (log.f64 (/.f64 -2 a)) (log.f64 (/.f64 -1 b_2)))
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2))))
(+.f64 (log.f64 (/.f64 -2 a)) (neg.f64 (log.f64 (/.f64 -1 b_2))))
(-.f64 (log.f64 (/.f64 -2 a)) (log.f64 (/.f64 -1 b_2)))
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2))))
(+.f64 (log.f64 (/.f64 -2 a)) (neg.f64 (log.f64 (/.f64 -1 b_2))))
(-.f64 (log.f64 (/.f64 -2 a)) (log.f64 (/.f64 -1 b_2)))
(+.f64 (log.f64 (/.f64 -2 a)) (*.f64 -1 (log.f64 (/.f64 -1 b_2))))
(+.f64 (log.f64 (/.f64 -2 a)) (neg.f64 (log.f64 (/.f64 -1 b_2))))
(-.f64 (log.f64 (/.f64 -2 a)) (log.f64 (/.f64 -1 b_2)))
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 2 b_2)))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 2 b_2)))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 2 b_2)))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (*.f64 -1 (log.f64 a)) (log.f64 (*.f64 2 b_2)))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 2 b_2)))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 2 b_2)))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 2 b_2)))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (log.f64 (/.f64 1 a)) (log.f64 (*.f64 2 b_2)))
(+.f64 (log.f64 (/.f64 2 a)) (log.f64 b_2))
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 -2 b_2)))
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 b_2 -2)))
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 -2 b_2)))
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 b_2 -2)))
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 -2 b_2)))
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 b_2 -2)))
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 -2 b_2)))
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 b_2 -2)))
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 (/.f64 2 a) b_2)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3))
0.5b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3)
12.5b
(*.f64 (/.f64 a c) (/.f64 b_2 a))
15.4b
(cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)))
Compiler

Compiled 51 to 15 computations (70.6% saved)

series24.0ms (0.1%)

Counts
3 → 60
Calls

27 calls:

TimeVariablePointExpression
3.0ms
c
@-inf
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3))
2.0ms
b_2
@-inf
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3))
2.0ms
c
@-inf
(pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3)
2.0ms
a
@0
(cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)))
1.0ms
c
@0
(pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3)

rewrite67.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
663×log-prod_binary64
457×pow-prod-down_binary64
336×pow2_binary64
250×pow-unpow_binary64
235×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01245
126241
2345935
Stop Event
node limit
Counts
3 → 67
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3)
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b_2 a)) (cbrt.f64 (/.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a c)) (cbrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) 1/6) (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 a (/.f64 b_2 a))) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (/.f64 a c) b_2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 a b_2)) (cbrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 (*.f64 a c) b_2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c a) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 c a) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) (cbrt.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) -2)) (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c a) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) (sqrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)))) -6) (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c a)) (/.f64 a b_2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c a)) (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c a)) (/.f64 a b_2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c a)) (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (/.f64 a (/.f64 (*.f64 a c) b_2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c a)) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)) 1))))))

simplify209.0ms (1.1%)

Algorithm
egg-herbie
Rules
1290×sqr-pow_binary64
666×pow-sqr_binary64
625×cube-prod_binary64
555×fabs-mul_binary64
373×unpow3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012408
130372
245372
368372
4104372
5201372
6591372
71258372
81350372
91488372
101651372
111889372
122216372
132642372
143149372
153754372
164477372
174800372
185084372
195304372
205482372
215564372
226507372
237484372
247950372
Stop Event
node limit
Counts
127 → 73
Calls
Call 1
Inputs
(pow.f64 (/.f64 b_2 c) 1/3)
(pow.f64 (/.f64 b_2 c) 1/3)
(pow.f64 (/.f64 b_2 c) 1/3)
(pow.f64 (/.f64 b_2 c) 1/3)
(pow.f64 (/.f64 b_2 c) 1/3)
(pow.f64 (/.f64 b_2 c) 1/3)
(pow.f64 (/.f64 b_2 c) 1/3)
(pow.f64 (/.f64 b_2 c) 1/3)
(pow.f64 (/.f64 b_2 c) 1/3)
(pow.f64 (/.f64 b_2 c) 1/3)
(pow.f64 (/.f64 b_2 c) 1/3)
(pow.f64 (/.f64 b_2 c) 1/3)
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.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))
Outputs
(pow.f64 (/.f64 b_2 c) 1/3)
(cbrt.f64 (/.f64 b_2 c))
(pow.f64 (/.f64 b_2 c) 1/3)
(cbrt.f64 (/.f64 b_2 c))
(pow.f64 (/.f64 b_2 c) 1/3)
(cbrt.f64 (/.f64 b_2 c))
(pow.f64 (/.f64 b_2 c) 1/3)
(cbrt.f64 (/.f64 b_2 c))
(pow.f64 (/.f64 b_2 c) 1/3)
(cbrt.f64 (/.f64 b_2 c))
(pow.f64 (/.f64 b_2 c) 1/3)
(cbrt.f64 (/.f64 b_2 c))
(pow.f64 (/.f64 b_2 c) 1/3)
(cbrt.f64 (/.f64 b_2 c))
(pow.f64 (/.f64 b_2 c) 1/3)
(cbrt.f64 (/.f64 b_2 c))
(pow.f64 (/.f64 b_2 c) 1/3)
(cbrt.f64 (/.f64 b_2 c))
(pow.f64 (/.f64 b_2 c) 1/3)
(cbrt.f64 (/.f64 b_2 c))
(pow.f64 (/.f64 b_2 c) 1/3)
(cbrt.f64 (/.f64 b_2 c))
(pow.f64 (/.f64 b_2 c) 1/3)
(cbrt.f64 (/.f64 b_2 c))
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) 1)
(/.f64 c b_2)
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) 1)
(/.f64 c b_2)
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) 1)
(/.f64 c b_2)
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) 1)
(/.f64 c b_2)
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) 1)
(/.f64 c b_2)
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) 1)
(/.f64 c b_2)
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) 1)
(/.f64 c b_2)
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) 1)
(/.f64 c b_2)
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) 1)
(/.f64 c b_2)
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) 1)
(/.f64 c b_2)
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) 1)
(/.f64 c b_2)
(*.f64 (/.f64 c b_2) (pow.f64 1 1/3))
(*.f64 (/.f64 c b_2) 1)
(/.f64 c b_2)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 (/.f64 c b_2) -1/2)
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -1/2 (/.f64 b_2 c))

eval280.0ms (1.5%)

Compiler

Compiled 17084 to 7364 computations (56.9% saved)

prune268.0ms (1.5%)

Pruning

48 alts after pruning (40 fresh and 8 done)

PrunedKeptTotal
New81323836
Fresh131730
Picked101
Done189
Total82848876
Error
1.1b
Counts
876 → 48
Alt Table
Click to see full alt table
StatusErrorProgram
47.8b
(*.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
46.5b
(/.f64 (+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
63.0b
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 b_2 a) 2)))
45.8b
(/.f64 (*.f64 b_2 -2) a)
35.5b
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) a)
45.2b
(*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))
45.9b
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
46.1b
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
56.2b
(*.f64 -1/2 (*.f64 (/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a c) b_2))))) a))
46.5b
(*.f64 -1/2 (*.f64 (/.f64 1 (/.f64 (*.f64 a b_2) c)) a))
47.6b
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)))
62.4b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3)
62.4b
(*.f64 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 2 (cbrt.f64 a)))
47.9b
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (*.f64 -2 (log.f64 (/.f64 -1 b_2))) 1/2))) a)
48.1b
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
52.3b
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))) 1/2))) a)
57.0b
(exp.f64 (log.f64 (*.f64 b_2 (/.f64 -2 a))))
62.5b
(pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3)
52.0b
(pow.f64 (E.f64) (log.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)))
59.2b
(/.f64 (neg.f64 b_2) a)
58.8b
(sqrt.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (*.f64 a a))) 4))
54.1b
(expm1.f64 (log1p.f64 (*.f64 b_2 (/.f64 -2 a))))
45.0b
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (fma.f64 b_2 2 (/.f64 (*.f64 a (*.f64 1/2 (neg.f64 c))) b_2))) a)
53.5b
(/.f64 (*.f64 -1/2 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2)))) 3))) a)
45.8b
(*.f64 b_2 (/.f64 -2 a))
40.1b
(/.f64 -1/2 (/.f64 b_2 c))
46.1b
(/.f64 (+.f64 (neg.f64 b_2) (-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)) a)
46.8b
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) 3))
47.1b
(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1)
52.3b
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))) 1/2))) a)
40.0b
(/.f64 c (/.f64 b_2 -1/2))
50.7b
(*.f64 -1/2 (pow.f64 (pow.f64 (/.f64 b_2 c) 1/3) -3))
45.4b
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
62.4b
(*.f64 (/.f64 2 a) b_2)
35.5b
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
52.6b
(/.f64 (sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 c (/.f64 a b_2)) 2))) a)
48.1b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (cbrt.f64 a)))
51.0b
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))))
60.7b
(pow.f64 (pow.f64 (*.f64 b_2 (/.f64 -2 a)) 3) 1/3)
63.0b
(exp.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)))
62.4b
(/.f64 (*.f64 b_2 2) a)
46.5b
(*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a))
37.8b
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
40.4b
(*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 b_2 c)) -3))
46.0b
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
53.2b
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (*.f64 b_2 b_2)) 1/2))) a)
46.8b
(/.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a))
47.0b
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (*.f64 c (neg.f64 a))) 1/2))) a)
Compiler

Compiled 670 to 486 computations (27.5% saved)

regimes1.6s (8.6%)

Counts
89 → 3
Calls
Call 1
Inputs
(/.f64 (neg.f64 b_2) a)
(*.f64 (/.f64 2 a) b_2)
(/.f64 (*.f64 b_2 2) a)
(*.f64 b_2 (/.f64 -2 a))
(/.f64 c (/.f64 b_2 -1/2))
(/.f64 (*.f64 2 b_2) a)
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (*.f64 b_2 2) (/.f64 1 (neg.f64 a)))
(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1)
(/.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a))
(*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)
(*.f64 -1/2 (*.f64 (/.f64 1 (/.f64 (*.f64 a b_2) c)) a))
(*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a))
(*.f64 (/.f64 1 a) (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a)
(/.f64 (/.f64 1 (/.f64 (/.f64 b_2 a) (*.f64 -1/2 c))) a)
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(sqrt.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (*.f64 a a))) 4))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 c b_2) a) 1/2 (*.f64 -2 b_2)) a)
(/.f64 (fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 -2 b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (fma.f64 b_2 2 (/.f64 (*.f64 a (*.f64 1/2 (neg.f64 c))) b_2))) a)
(exp.f64 (log.f64 (*.f64 b_2 (/.f64 -2 a))))
(expm1.f64 (log1p.f64 (*.f64 b_2 (/.f64 -2 a))))
(exp.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3)
(*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 b_2 c)) -3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3)
(*.f64 -1/2 (pow.f64 (pow.f64 (/.f64 b_2 c) 1/3) -3))
(pow.f64 (pow.f64 (*.f64 b_2 (/.f64 -2 a)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2)))
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) a)
(/.f64 (*.f64 -1/2 (exp.f64 (log.f64 (*.f64 c (/.f64 a b_2))))) a)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) 3))
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (*.f64 b_2 b_2)) 1/2))) a)
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3))
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) 3))
(/.f64 (sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 c (/.f64 a b_2)) 2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (*.f64 c (neg.f64 a))) 1/2))) a)
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) 1) a)
(*.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (*.f64 -2 (log.f64 (/.f64 -1 b_2))) 1/2))) a)
(*.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
(*.f64 -1/2 (*.f64 (/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a c) b_2))))) a))
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 -1/2 b_2) c))
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))) 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)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 b_2 a) 2)))
(*.f64 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 2 (cbrt.f64 a)))
(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(pow.f64 (E.f64) (log.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)))
(/.f64 (*.f64 -1/2 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c (/.f64 a b_2)))) 3))) a)
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a))) 1/2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c))) 1/2))) a)
(*.f64 -1/2 (/.f64 1 (/.f64 (/.f64 (/.f64 a (/.f64 a b_2)) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (*.f64 a c)))))) a)
(sqrt.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (/.f64 b_2 a) 2))) 4))
(exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (cbrt.f64 a)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2))))))
Outputs
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 -1/2 b_2) c))
Calls

4 calls:

626.0ms
a
384.0ms
b_2
292.0ms
c
242.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Results
ErrorSegmentsBranch
24.2b10a
11.2b3b_2
28.3b3c
16.1b5(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 986 to 501 computations (49.2% saved)

bsearch551.0ms (3%)

Algorithm
binary-search
Steps
TimeLeftRight
455.0ms
3.7231641457263425e-33
1.7280327057384277e-9
95.0ms
-2.6138998252258544e+165
-6.216074164817344e+147
Compiler

Compiled 689 to 470 computations (31.8% saved)

regimes2.4s (13.2%)

Counts
70 → 3
Calls
Call 1
Inputs
(/.f64 (neg.f64 b_2) a)
(*.f64 (/.f64 2 a) b_2)
(/.f64 (*.f64 b_2 2) a)
(*.f64 b_2 (/.f64 -2 a))
(/.f64 c (/.f64 b_2 -1/2))
(/.f64 (*.f64 2 b_2) a)
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (*.f64 b_2 2) (/.f64 1 (neg.f64 a)))
(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1)
(/.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a))
(*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)
(*.f64 -1/2 (*.f64 (/.f64 1 (/.f64 (*.f64 a b_2) c)) a))
(*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a))
(*.f64 (/.f64 1 a) (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a)
(/.f64 (/.f64 1 (/.f64 (/.f64 b_2 a) (*.f64 -1/2 c))) a)
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(sqrt.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (*.f64 a a))) 4))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 c b_2) a) 1/2 (*.f64 -2 b_2)) a)
(/.f64 (fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 -2 b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (fma.f64 b_2 2 (/.f64 (*.f64 a (*.f64 1/2 (neg.f64 c))) b_2))) a)
(exp.f64 (log.f64 (*.f64 b_2 (/.f64 -2 a))))
(expm1.f64 (log1p.f64 (*.f64 b_2 (/.f64 -2 a))))
(exp.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3)
(*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 b_2 c)) -3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 b_2 a) 2)) 3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3)
(*.f64 -1/2 (pow.f64 (pow.f64 (/.f64 b_2 c) 1/3) -3))
(pow.f64 (pow.f64 (*.f64 b_2 (/.f64 -2 a)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 c a) (/.f64 a b_2)) -1/2)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 a b_2) (/.f64 c a)) -1/2)))
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) a)
(/.f64 (*.f64 -1/2 (exp.f64 (log.f64 (*.f64 c (/.f64 a b_2))))) a)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))))
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c a) (/.f64 a b_2))) 3))
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (*.f64 b_2 b_2)) 1/2))) a)
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a c) (/.f64 b_2 a))) -3))
(*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a b_2) (/.f64 c a))) 3))
(/.f64 (sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 c (/.f64 a b_2)) 2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (log.f64 (*.f64 c (neg.f64 a))) 1/2))) a)
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))) 1) a)
(*.f64 (/.f64 1 a) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (*.f64 (*.f64 -2 (log.f64 (/.f64 -1 b_2))) 1/2))) a)
(*.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
(*.f64 -1/2 (*.f64 (/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a c) b_2))))) a))
(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
Outputs
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
(/.f64 c (/.f64 b_2 -1/2))
Calls

4 calls:

1.3s
a
463.0ms
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
325.0ms
b_2
262.0ms
c
Results
ErrorSegmentsBranch
23.5b11a
11.2b3b_2
30.8b3c
16.1b5(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
Compiler

Compiled 693 to 371 computations (46.5% saved)

bsearch524.0ms (2.9%)

Algorithm
binary-search
Steps
TimeLeftRight
398.0ms
3.7231641457263425e-33
1.7280327057384277e-9
124.0ms
-2.6138998252258544e+165
-6.216074164817344e+147
Compiler

Compiled 568 to 393 computations (30.8% saved)

regimes1.4s (7.6%)

Counts
36 → 3
Calls
Call 1
Inputs
(/.f64 (neg.f64 b_2) a)
(*.f64 (/.f64 2 a) b_2)
(/.f64 (*.f64 b_2 2) a)
(*.f64 b_2 (/.f64 -2 a))
(/.f64 c (/.f64 b_2 -1/2))
(/.f64 (*.f64 2 b_2) a)
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (*.f64 b_2 2) (/.f64 1 (neg.f64 a)))
(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1)
(/.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a))
(*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)
(*.f64 -1/2 (*.f64 (/.f64 1 (/.f64 (*.f64 a b_2) c)) a))
(*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a))
(*.f64 (/.f64 1 a) (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a)
(/.f64 (/.f64 1 (/.f64 (/.f64 b_2 a) (*.f64 -1/2 c))) a)
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
(sqrt.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (*.f64 a a))) 4))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(/.f64 (fma.f64 (*.f64 (/.f64 c b_2) a) 1/2 (*.f64 -2 b_2)) a)
(/.f64 (fma.f64 1/2 (*.f64 a (/.f64 c b_2)) (*.f64 -2 b_2)) a)
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 c (/.f64 b_2 -1/2))
Calls

3 calls:

570.0ms
a
445.0ms
b_2
351.0ms
c
Results
ErrorSegmentsBranch
31.9b8a
14.1b3b_2
36.3b4c
Compiler

Compiled 313 to 172 computations (45% saved)

bsearch215.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
117.0ms
3.7231641457263425e-33
1.7280327057384277e-9
98.0ms
-4.744442579089322e-51
-5.495679035074051e-61
Compiler

Compiled 544 to 391 computations (28.1% saved)

regimes201.0ms (1.1%)

Counts
30 → 2
Calls
Call 1
Inputs
(/.f64 (neg.f64 b_2) a)
(*.f64 (/.f64 2 a) b_2)
(/.f64 (*.f64 b_2 2) a)
(*.f64 b_2 (/.f64 -2 a))
(/.f64 c (/.f64 b_2 -1/2))
(/.f64 (*.f64 2 b_2) a)
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(/.f64 -2 (/.f64 a b_2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 b_2 -2) a)
(*.f64 (/.f64 -1/2 b_2) c)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(*.f64 (*.f64 b_2 2) (/.f64 1 (neg.f64 a)))
(-.f64 (+.f64 1 (*.f64 b_2 (/.f64 -2 a))) 1)
(/.f64 (/.f64 -1/2 (/.f64 a c)) (/.f64 b_2 a))
(*.f64 (/.f64 -1/2 a) (*.f64 c (/.f64 a b_2)))
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(/.f64 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))) a)
(/.f64 (*.f64 -1/2 (/.f64 (*.f64 c a) b_2)) a)
(*.f64 -1/2 (*.f64 (/.f64 1 (/.f64 (*.f64 a b_2) c)) a))
(*.f64 -1/2 (*.f64 (/.f64 1 (*.f64 (/.f64 a c) b_2)) a))
(*.f64 (/.f64 1 a) (*.f64 (/.f64 c b_2) (*.f64 a -1/2)))
(/.f64 (/.f64 (/.f64 (*.f64 -1/2 c) b_2) (/.f64 1 a)) a)
(/.f64 (/.f64 1 (/.f64 (/.f64 b_2 a) (*.f64 -1/2 c))) a)
(*.f64 -1/2 (/.f64 1 (*.f64 (/.f64 a c) (/.f64 b_2 a))))
(+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))
(/.f64 (+.f64 (*.f64 -2 b_2) (*.f64 1/2 (/.f64 (*.f64 c a) b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (-.f64 (*.f64 1/2 (*.f64 (/.f64 c b_2) a)) b_2)) a)
Outputs
(*.f64 -2 (/.f64 b_2 a))
(/.f64 c (/.f64 b_2 -1/2))
Calls

3 calls:

111.0ms
a
46.0ms
c
35.0ms
b_2
Results
ErrorSegmentsBranch
33.8b7a
23.3b2b_2
38.8b3c
Compiler

Compiled 251 to 142 computations (43.4% saved)

bsearch45.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
45.0ms
1.642458054212428e-258
2.15159149377492e-247
Compiler

Compiled 202 to 155 computations (23.3% saved)

regimes238.0ms (1.3%)

Counts
9 → 2
Calls
Call 1
Inputs
(/.f64 (neg.f64 b_2) a)
(*.f64 (/.f64 2 a) b_2)
(/.f64 (*.f64 b_2 2) a)
(*.f64 b_2 (/.f64 -2 a))
(/.f64 c (/.f64 b_2 -1/2))
(/.f64 (*.f64 2 b_2) a)
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 c (/.f64 b_2 -1/2))
(/.f64 -2 (/.f64 a b_2))
Outputs
(/.f64 -2 (/.f64 a b_2))
(/.f64 c (/.f64 b_2 -1/2))
Calls

3 calls:

142.0ms
a
63.0ms
c
27.0ms
b_2
Results
ErrorSegmentsBranch
33.9b7a
23.3b2b_2
38.8b3c
Compiler

Compiled 59 to 38 computations (35.6% saved)

bsearch112.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
111.0ms
1.642458054212428e-258
2.15159149377492e-247
Compiler

Compiled 202 to 155 computations (23.3% saved)

regimes112.0ms (0.6%)

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

3 calls:

74.0ms
a
24.0ms
c
11.0ms
b_2
Results
ErrorSegmentsBranch
34.9b5a
23.3b2b_2
38.8b3c
Compiler

Compiled 54 to 35 computations (35.2% saved)

bsearch44.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
44.0ms
1.642458054212428e-258
2.15159149377492e-247
Compiler

Compiled 202 to 155 computations (23.3% saved)

regimes19.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(/.f64 (neg.f64 b_2) a)
(*.f64 (/.f64 2 a) b_2)
(/.f64 (*.f64 b_2 2) a)
(*.f64 b_2 (/.f64 -2 a))
Outputs
(*.f64 b_2 (/.f64 -2 a))
Calls

3 calls:

9.0ms
c
4.0ms
a
4.0ms
b_2
Results
ErrorSegmentsBranch
45.8b1a
45.8b1b_2
45.8b1c
Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes14.0ms (0.1%)

Accuracy

Total -3.7b remaining (-6.2%)

Threshold costs -3.7b (-6.2%)

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

3 calls:

5.0ms
a
4.0ms
b_2
4.0ms
c
Results
ErrorSegmentsBranch
59.2b1a
59.2b1b_2
59.2b1c
Compiler

Compiled 29 to 20 computations (31% saved)

simplify13.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
058230
181226
295226
3103226
4106226
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 b_2 -6399999999999999575255470718237583495105260436342155685051264249319671913609178896595104797012803490113137732795544498627705964315353581643374788608) (*.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 -1/2 b_2) c))))
(if (<=.f64 b_2 -6399999999999999575255470718237583495105260436342155685051264249319671913609178896595104797012803490113137732795544498627705964315353581643374788608) (*.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 c (/.f64 b_2 -1/2))))
(if (<=.f64 b_2 -497544133441593/904625697166532776746648320380374280103671755200316906558262375061821325312) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a) (/.f64 c (/.f64 b_2 -1/2))))
(if (<=.f64 b_2 6770093691001417/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (*.f64 -2 (/.f64 b_2 a)) (/.f64 c (/.f64 b_2 -1/2)))
(if (<=.f64 b_2 6770093691001417/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (/.f64 -2 (/.f64 a b_2)) (/.f64 c (/.f64 b_2 -1/2)))
(if (<=.f64 b_2 6770093691001417/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (*.f64 b_2 (/.f64 -2 a)) (/.f64 c (/.f64 b_2 -1/2)))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 (neg.f64 b_2) a)
Outputs
(if (<=.f64 b_2 -6399999999999999575255470718237583495105260436342155685051264249319671913609178896595104797012803490113137732795544498627705964315353581643374788608) (*.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (fma.f64 -1/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b_2 3) a)) c) (*.f64 (/.f64 -1/2 b_2) c))))
(if (<=.f64 b_2 -6399999999999999575255470718237583495105260436342155685051264249319671913609178896595104797012803490113137732795544498627705964315353581643374788608) (*.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (fma.f64 -1/8 (*.f64 c (/.f64 c (/.f64 (pow.f64 b_2 3) a))) (*.f64 c (/.f64 -1/2 b_2)))))
(if (<=.f64 b_2 -6399999999999999575255470718237583495105260436342155685051264249319671913609178896595104797012803490113137732795544498627705964315353581643374788608) (*.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (fma.f64 -1/8 (*.f64 c (/.f64 c (/.f64 (pow.f64 b_2 3) a))) (*.f64 c (/.f64 -1/2 b_2)))))
(if (<=.f64 b_2 -6399999999999999575255470718237583495105260436342155685051264249319671913609178896595104797012803490113137732795544498627705964315353581643374788608) (*.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 c (/.f64 b_2 -1/2))))
(if (<=.f64 b_2 -6399999999999999575255470718237583495105260436342155685051264249319671913609178896595104797012803490113137732795544498627705964315353581643374788608) (*.f64 -2 (/.f64 b_2 a)) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 c (/.f64 b_2 -1/2))))
(if (<=.f64 b_2 -497544133441593/904625697166532776746648320380374280103671755200316906558262375061821325312) (+.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2))) (if (<=.f64 b_2 5553706221857431/1461501637330902918203684832716283019655932542976) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a) (/.f64 c (/.f64 b_2 -1/2))))
(if (<=.f64 b_2 6770093691001417/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (*.f64 -2 (/.f64 b_2 a)) (/.f64 c (/.f64 b_2 -1/2)))
(if (<=.f64 b_2 6770093691001417/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (/.f64 -2 (/.f64 a b_2)) (/.f64 c (/.f64 b_2 -1/2)))
(if (<=.f64 b_2 6770093691001417/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (*.f64 b_2 (/.f64 -2 a)) (/.f64 c (/.f64 b_2 -1/2)))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 (neg.f64 b_2) a)
Compiler

Compiled 179 to 120 computations (33% saved)

soundness160.0ms (0.9%)

Algorithm
egg-herbie
Rules
985×times-frac_binary64
814×fma-def_binary64
759×associate-*l*_binary64
658×associate-/l*_binary64
567×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01782424
15612350
219362254
Stop Event
node limit
Compiler

Compiled 172 to 124 computations (27.9% saved)

end373.0ms (2%)

Compiler

Compiled 158 to 90 computations (43% saved)

Profiling

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