Details

Time bar (total: 15.0s)

analyze496.0ms (3.3%)

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%93.6%0.1%0%6.2%0%7
6.7%6.2%87.4%0.1%0%6.2%0%8
11.1%10.1%81.1%0.1%0%8.6%0%9
18%15.6%71%0.1%0%13.3%0%10
25.9%22%63%0.1%0.8%14%0%11
35.5%29.1%52.9%0.1%1.6%16.4%0%12
Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.6s (17.2%)

Results
940.0ms5572×body256valid
636.0ms1172×body2048valid
362.0ms405×body4096valid
287.0ms736×body1024valid
149.0ms1006×body256invalid
94.0ms371×body512valid
84.0ms573×body256infinite
Bogosity

preprocess89.0ms (0.6%)

Algorithm
egg-herbie
Rules
807×fma-def_binary64
685×div-sub_binary64
484×associate-/r*_binary64
440×distribute-frac-neg_binary64
353×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039104
19888
219888
344688
475788
5125088
6222588
7444988
8717188
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) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 4 (*.f64 b c))))) (*.f64 2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 a b))))) (*.f64 2 a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 a) c))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) a))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 4 (*.f64 b c))))) (*.f64 2 b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (+.f64 (*.f64 a a) (*.f64 -4 (*.f64 b c))))) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 (*.f64 -4 b) c))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 b (*.f64 c -4)))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a))) a) (*.f64 b 2))
(*.f64 -1/2 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) b))
(*.f64 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -4))))) b) -1/2)
(*.f64 (-.f64 a (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -4))))) (/.f64 -1/2 b))
(*.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) (/.f64 -1/2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 2 c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 a) c))) b) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 c 2))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 -1/2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 a b))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 b a))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 (*.f64 -4 b) a))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a -4)))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))) c) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))) a))
(*.f64 (-.f64 c (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a -4))))) (/.f64 -1/2 a))
(*.f64 1/2 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))) c) a))
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify108.0ms (0.7%)

Algorithm
egg-herbie
Rules
852×fma-def_binary64
747×fma-neg_binary64
695×div-sub_binary64
619×times-frac_binary64
422×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01526
13422
26922
316122
425722
541522
673022
7132222
8263222
9391422
10578022
11690922
12775122
13783922
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 -4 (*.f64 a c))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a) -1/2)
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

eval1.0ms (0%)

Compiler

Compiled 35 to 23 computations (34.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
32.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
32.3b
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
32.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 38 to 26 computations (31.6% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 a (*.f64 c -4))
0.6b
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))))
1.0b
(fma.f64 b b (*.f64 a (*.f64 c -4)))
23.8b
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
Compiler

Compiled 62 to 36 computations (41.9% saved)

series28.0ms (0.2%)

Counts
4 → 100
Calls

33 calls:

TimeVariablePointExpression
3.0ms
a
@-inf
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))))
2.0ms
a
@inf
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
2.0ms
c
@0
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))))
2.0ms
b
@0
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
1.0ms
c
@inf
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))

rewrite92.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
630×prod-diff_binary64
510×log-prod_binary64
343×pow-prod-down_binary64
303×fma-def_binary64
276×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01047
121245
2273945
Stop Event
node limit
Counts
4 → 179
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))))
(*.f64 a (*.f64 c -4))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 c -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 a c) 2) 16) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 a c) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 c -4))) 1))))))

simplify83.0ms (0.6%)

Algorithm
egg-herbie
Rules
719×times-frac_binary64
634×associate-*r*_binary64
593×associate-*l*_binary64
563×fma-def_binary64
441×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01261936
13861845
213501752
377121752
Stop Event
node limit
Counts
279 → 234
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b))
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 4)) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b)))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
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(+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(fma.f64 1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 (*.f64 c a) b) (*.f64 b 2))
(fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a))))
(fma.f64 b 2 (*.f64 (/.f64 -2 b) (*.f64 c a)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (/.f64 (*.f64 c a) b) (*.f64 b 2)))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a)))))
(fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b)))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 (*.f64 c a) b) (*.f64 b 2))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a))))))
(fma.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 2 b) (*.f64 c a))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(*.f64 2 (+.f64 (/.f64 (*.f64 c a) b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))))
(*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))
(fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 4)) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2) (/.f64 (*.f64 16 (pow.f64 c 4)) (pow.f64 b 6))) (/.f64 b (pow.f64 a 4))) (fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(fma.f64 1/2 (/.f64 (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (/.f64 b (pow.f64 a 4))) (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) b)) (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 2 b) (*.f64 c a))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(*.f64 2 (+.f64 (/.f64 (*.f64 c a) b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))))
(*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))
(fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2) (/.f64 (*.f64 16 (pow.f64 c 4)) (pow.f64 b 6))) (/.f64 b (pow.f64 a 4))) (fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(fma.f64 1/2 (/.f64 (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (/.f64 b (pow.f64 a 4))) (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) b)) (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
0.6b
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
0.8b
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
23.8b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
Compiler

Compiled 73 to 32 computations (56.2% saved)

series36.0ms (0.2%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
3.0ms
c
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
2.0ms
a
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
2.0ms
c
@0
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
2.0ms
b
@0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
1.0ms
b
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))

rewrite169.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
817×log-prod_binary64
729×fma-def_binary64
373×fma-neg_binary64
277×expm1-udef_binary64
277×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01574
134362
2492059
Stop Event
node limit
Counts
4 → 334
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Outputs
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egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 a a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))) 1))))))

simplify110.0ms (0.7%)

Algorithm
egg-herbie
Rules
978×times-frac_binary64
978×fma-def_binary64
643×associate-/l*_binary64
575×associate-/r*_binary64
421×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01842477
15822367
221172202
Stop Event
node limit
Counts
430 → 415
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (+.f64 (*.f64 -1 b) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
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b
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(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
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b
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b
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(pow.f64 b 2)
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(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
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(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 -2 (*.f64 c c)) (*.f64 a a)) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 c b) (+.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (neg.f64 (/.f64 b a))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))))
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1/4 (/.f64 (pow.f64 a 3) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (*.f64 -1/4 (*.f64 (pow.f64 a 3) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))))) b)) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (*.f64 (/.f64 -1/4 b) (*.f64 (pow.f64 a 3) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2))) (*.f64 a b)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) b)) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) b)) (-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))

eval448.0ms (3%)

Compiler

Compiled 18173 to 10744 computations (40.9% saved)

prune147.0ms (1%)

Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New62524649
Fresh000
Picked011
Done101
Total62625651
Error
4.9b
Counts
651 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
45.5b
(/.f64 (pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 2) (*.f64 2 a))
40.3b
(/.f64 (neg.f64 c) b)
46.1b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
43.8b
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
33.4b
(*.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
53.9b
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
32.3b
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
34.0b
(*.f64 (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 3/2)) (/.f64 -1/2 a))
45.0b
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
32.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
57.2b
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))
45.0b
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
54.0b
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
43.9b
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a))
45.0b
(-.f64 (/.f64 c b) (/.f64 b a))
42.6b
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))) (*.f64 2 a))
43.8b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
45.4b
(pow.f64 (/.f64 (+.f64 a a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) -1)
33.1b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)) (*.f64 2 a))
44.8b
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
42.7b
(*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
45.1b
(/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (*.f64 2 c) b) a) b)) (*.f64 2 a))
51.2b
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (sqrt.f64 (+.f64 a a))))
44.7b
(neg.f64 (/.f64 b a))
45.4b
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
Compiler

Compiled 880 to 612 computations (30.5% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 a (*.f64 c -4))
0.6b
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))
0.8b
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))
23.8b
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))
Compiler

Compiled 69 to 37 computations (46.4% saved)

series12.0ms (0.1%)

Counts
3 → 76
Calls

27 calls:

TimeVariablePointExpression
1.0ms
c
@0
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))
1.0ms
b
@0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))
0.0ms
a
@0
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))
0.0ms
a
@inf
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))
0.0ms
c
@-inf
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))

rewrite93.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
604×fma-def_binary64
586×log-prod_binary64
420×pow-prod-down_binary64
317×pow2_binary64
252×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01140
124338
2341538
Stop Event
node limit
Counts
3 → 194
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/6) (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 a c) 2) 16))) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.f64 b 3) (pow.f64 (*.f64 a (*.f64 c -4)) 3/2)) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c -4)) (-.f64 (*.f64 a (*.f64 c -4)) (*.f64 b b)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1))))))
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(cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4)))) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2) (cbrt.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 b) b)) (sqrt.f64 (cbrt.f64 (*.f64 b b))) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 b) b)) (sqrt.f64 (cbrt.f64 (*.f64 b b))) (*.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (sqrt.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/6) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) (fma.f64 (neg.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/6)) (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/4)) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))

simplify78.0ms (0.5%)

Algorithm
egg-herbie
Rules
719×times-frac_binary64
634×associate-*r*_binary64
593×associate-*l*_binary64
563×fma-def_binary64
441×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01261768
13861677
213501584
377121584
Stop Event
node limit
Counts
270 → 249
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b))
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 4)) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
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b
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b
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b
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(*.f64 (/.f64 2 b) (*.f64 c a))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(*.f64 2 (+.f64 (/.f64 (*.f64 c a) b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))))
(*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))
(fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4)))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(fma.f64 1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 (*.f64 c a) b) (*.f64 b 2))
(fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a))))
(fma.f64 b 2 (*.f64 (/.f64 -2 b) (*.f64 c a)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (/.f64 (*.f64 c a) b) (*.f64 b 2)))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a)))))
(fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b)))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 (*.f64 c a) b) (*.f64 b 2))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a))))))
(fma.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 2 b) (*.f64 c a))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(*.f64 2 (+.f64 (/.f64 (*.f64 c a) b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))))
(*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))
(fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (pow.f64 a 4)) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2) (/.f64 (*.f64 16 (pow.f64 c 4)) (pow.f64 b 6))) (/.f64 b (pow.f64 a 4))) (fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(fma.f64 1/2 (/.f64 (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (/.f64 b (pow.f64 a 4))) (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) b)) (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 2 b) (*.f64 c a))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(*.f64 2 (+.f64 (/.f64 (*.f64 c a) b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))))
(*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))
(fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2) (/.f64 (*.f64 16 (pow.f64 c 4)) (pow.f64 b 6))) (/.f64 b (pow.f64 a 4))) (fma.f64 2 (/.f64 (*.f64 c a) b) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 (*.f64 4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(fma.f64 1/2 (/.f64 (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (/.f64 b (pow.f64 a 4))) (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) b)) (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (*.f64 a (/.f64 c b))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))))

localize5.0ms (0%)

Compiler

Compiled 12 to 5 computations (58.3% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
4.3b
(*.f64 (/.f64 2 b) (*.f64 c a))
9.3b
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
Compiler

Compiled 35 to 19 computations (45.7% saved)

series16.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
5.0ms
a
@0
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
1.0ms
b
@inf
(*.f64 (/.f64 2 b) (*.f64 c a))
1.0ms
c
@inf
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
1.0ms
c
@0
(*.f64 (/.f64 2 b) (*.f64 c a))
1.0ms
b
@0
(*.f64 (/.f64 2 b) (*.f64 c a))

rewrite64.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
627×log-prod_binary64
435×pow-prod-down_binary64
308×pow2_binary64
267×pow-unpow_binary64
220×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
124126
2309326
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (/.f64 2 b) (*.f64 c a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 c a)) (*.f64 (/.f64 2 b) (/.f64 -1/2 a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 c a)) (*.f64 (/.f64 2 b) (/.f64 -1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 c a)) (*.f64 (/.f64 2 b) (/.f64 -1/2 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 c a)) (*.f64 (/.f64 2 b) (/.f64 -1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (*.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 c a)) (*.f64 (*.f64 a -2) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) (/.f64 -1/2 a)) (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 c a)) 1) (*.f64 b (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 c a)) 1/2) (*.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 2 (*.f64 c a))) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 2 (*.f64 c a))) (*.f64 (neg.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 c a) (/.f64 -1/2 a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 (*.f64 c a) (/.f64 -1/2 a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 c a)) (/.f64 -1/2 a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 (/.f64 2 b) (*.f64 c a))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (*.f64 2 (*.f64 c a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 c a)) (*.f64 (/.f64 2 b) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 2 b) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 2 b)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 2 b))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 b) (*.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 c a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 c a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 c a)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 c a)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 c a)) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 c a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) -2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 2 b) (*.f64 c a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 2 b) (*.f64 c a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 2 (*.f64 c a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (*.f64 a (/.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 b) (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 2 b) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 2 b) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 c a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 2 b) (*.f64 c a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 2 b) (*.f64 c a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 2 b) (*.f64 c a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 b) (*.f64 c a))) 1) 1))))))

simplify36.0ms (0.2%)

Algorithm
egg-herbie
Rules
100×fma-def_binary64
24×fma-neg_binary64
19×*-commutative_binary64
17×associate-/l*_binary64
16×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011576
121576
241576
374576
4110576
5129576
6137576
7158576
8244576
9344576
Stop Event
saturated
Counts
146 → 78
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 a c) -4)
0.2b
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
0.7b
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))
12.0b
(sqrt.f64 (*.f64 (*.f64 a c) -4))
Compiler

Compiled 57 to 30 computations (47.4% saved)

series55.0ms (0.4%)

Counts
4 → 52
Calls

30 calls:

TimeVariablePointExpression
10.0ms
c
@-inf
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
6.0ms
a
@inf
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
4.0ms
a
@inf
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))
4.0ms
a
@-inf
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
3.0ms
a
@0
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))

rewrite100.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
948×prod-diff_binary64
707×log-prod_binary64
289×fma-def_binary64
251×expm1-udef_binary64
251×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01352
128852
2387452
Stop Event
node limit
Counts
4 → 177
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 a c) -4))
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
(*.f64 (*.f64 a c) -4)
Outputs
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((x fma.f64 (*.f64 (/.f64 1/2 a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 b)) (sqrt.f64 b) (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (*.f64 b (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (*.f64 b (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2)) (cbrt.f64 (/.f64 1/2 a)) (*.f64 b (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c))) (cbrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -4) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 c -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 16 (pow.f64 (*.f64 a c) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 (*.f64 a c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 c -4))) 1))))))

simplify206.0ms (1.4%)

Algorithm
egg-herbie
Rules
917×times-frac_binary64
680×associate-/l*_binary64
557×unswap-sqr_binary64
491×fma-def_binary64
488×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01441271
14201067
215411022
36529998
47649994
Stop Event
node limit
Counts
229 → 226
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 2 b)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(*.f64 2 b)
(*.f64 2 b)
(/.f64 b a)
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 1/2 (/.f64 b a)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))
(+.f64 (/.f64 b a) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))
(+.f64 (/.f64 b a) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))))
(*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(/.f64 b a)
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) b))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))))))
(+.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))
(fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2))
(fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 b 2))
(fma.f64 b 2 (*.f64 (/.f64 1/2 b) (*.f64 (*.f64 c a) -4)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2)))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 b 2)) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)))
(fma.f64 b 2 (fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 3) -2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -64))) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 b 2))))
(fma.f64 1/16 (*.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 b 2 (fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 3) -2)))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(*.f64 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2)
(*.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2)
(*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 c a) -4))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2))
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 (*.f64 a a) 16))) 1/8) (pow.f64 b 3)))
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (*.f64 (*.f64 (*.f64 (*.f64 a a) 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) 1/8))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) -1/16)))
(fma.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) 16)) c)) 1/8 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -64))) -1/16)))
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (*.f64 (*.f64 (*.f64 a a) 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) 1/8 (/.f64 (*.f64 (pow.f64 c 3) -1/16) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -64)))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) 16)) c)) 1/8 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (fma.f64 1/2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) 2)) (pow.f64 b 7)) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -64))) -1/16))))
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (*.f64 (*.f64 (*.f64 a a) 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) 1/8 (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (/.f64 (*.f64 (pow.f64 c 3) -1/16) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -64))))))
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (*.f64 (*.f64 (*.f64 a a) 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) 1/8 (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 (*.f64 (pow.f64 c 3) -1/16) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -64))))))
(*.f64 2 b)
(*.f64 b 2)
(*.f64 2 b)
(*.f64 b 2)
(/.f64 b a)
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))
(*.f64 (sqrt.f64 -4) (*.f64 1/2 (sqrt.f64 (/.f64 c a))))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a)))
(*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))))
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a))))
(fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/4)))
(fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 1/2 (/.f64 b a)))))
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (*.f64 1/2 (/.f64 b a)))))
(+.f64 (fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/4))) (*.f64 (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4)) (*.f64 -1/16 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))))))
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 1/64 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))
(+.f64 (/.f64 b a) (*.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (/.f64 b a) (/.f64 (*.f64 -1 c) b))
(+.f64 (/.f64 b a) (/.f64 (neg.f64 c) b))
(-.f64 (/.f64 b a) (/.f64 c b))
(+.f64 (/.f64 b a) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))
(+.f64 (/.f64 b a) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))))))
(+.f64 (/.f64 b a) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))) (/.f64 (*.f64 -1 c) b)))
(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)) 16) (/.f64 b a)))
(-.f64 (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)) 16) (/.f64 b a)) (/.f64 c b))
(+.f64 (/.f64 b a) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))))
(+.f64 (/.f64 b a) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))) (/.f64 (*.f64 -1 c) b)) (*.f64 1/32 (/.f64 (*.f64 (*.f64 -64 a) a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))))
(+.f64 (fma.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)) 16) (/.f64 b a)))
(+.f64 (-.f64 (/.f64 b a) (/.f64 c b)) (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)) 16) (*.f64 (/.f64 1/32 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -64))))))
(*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) -1/4)
(/.f64 (*.f64 1 c) b)
(/.f64 c b)
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) -1/4))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))) (/.f64 (*.f64 1 c) b))
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)) 16) (/.f64 c b))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) -1/32)))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))) (fma.f64 (/.f64 (*.f64 (*.f64 -64 a) a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) -1/32 (/.f64 (*.f64 1 c) b)))
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)) 16) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (*.f64 a a)) -1/32 (/.f64 c b)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 1/4 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) -1/32))))
(+.f64 (fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a 16))) (/.f64 (*.f64 1 c) b)) (fma.f64 1/4 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) 2)) (*.f64 a (pow.f64 b 7))) (*.f64 (/.f64 (*.f64 (*.f64 -64 a) a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) -1/32)))
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)) 16) (fma.f64 1/4 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 a (pow.f64 b 7))) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (*.f64 a a)) -1/32 (/.f64 c b))))
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b 3)) 16) (fma.f64 1/4 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (*.f64 a (pow.f64 b 7))) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (*.f64 a a)) -1/32 (/.f64 c b))))
(/.f64 b a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)
1.0b
(fma.f64 b b (*.f64 (*.f64 a c) -4))
11.1b
(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2))
24.5b
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4)
Compiler

Compiled 86 to 46 computations (46.5% saved)

series54.0ms (0.4%)

Counts
4 → 144
Calls

36 calls:

TimeVariablePointExpression
10.0ms
b
@0
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)
4.0ms
a
@inf
(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2))
3.0ms
b
@inf
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4)
3.0ms
c
@0
(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2))
3.0ms
a
@0
(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2))

rewrite100.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
599×log-prod_binary64
382×pow-prod-down_binary64
336×pow2_binary64
277×fma-def_binary64
233×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01458
130752
2376252
Stop Event
node limit
Counts
4 → 153
Calls
Call 1
Inputs
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4)
(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2))
(fma.f64 b b (*.f64 (*.f64 a c) -4))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)
Outputs
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4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/12) 12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 a) c) -4) (exp.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 c -4)))) (exp.f64 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 b b)) (+.f64 1 (expm1.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/6) (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/8) (sqrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/4)) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/6)) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1))))))

simplify173.0ms (1.2%)

Algorithm
egg-herbie
Rules
717×fma-def_binary64
507×associate-*r*_binary64
376×associate-*l*_binary64
353×associate-+r+_binary64
335×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05508682
119897666
Stop Event
node limit
Counts
297 → 344
Calls
Call 1
Inputs
(pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)))
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (*.f64 -7/8192 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6)))))) (sqrt.f64 b))) (+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 2)) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a)))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (*.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
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b
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(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) c)) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))))) (pow.f64 a 3))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 a (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) b)) (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) b)))) (+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2))) (*.f64 (pow.f64 c 3) a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))))) (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (pow.f64 c 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
Outputs
(pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (fma.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)))
(fma.f64 (*.f64 -1/16 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4)) (*.f64 b b) (fma.f64 (*.f64 -3/512 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4)) (pow.f64 b 4) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (*.f64 -7/8192 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (fma.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6)) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (fma.f64 -3/512 (*.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (*.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (sqrt.f64 b) (neg.f64 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(-.f64 (sqrt.f64 b) (*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(fma.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (fma.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (fma.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2) (-.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (sqrt.f64 -1))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 c (*.f64 a (sqrt.f64 -1)))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(fma.f64 (neg.f64 (*.f64 c (*.f64 a (sqrt.f64 -1)))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 c (*.f64 a (sqrt.f64 -1)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1))))
(fma.f64 (neg.f64 (*.f64 c (*.f64 a (sqrt.f64 -1)))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (fma.f64 (sqrt.f64 b) (sqrt.f64 -1) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 -3/2 (sqrt.f64 -1))))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 c (*.f64 a (sqrt.f64 -1)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (fma.f64 (*.f64 (fma.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))))
(-.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) -3/2)) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (+.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 c (*.f64 a (sqrt.f64 -1)))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(sqrt.f64 b)
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b
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(*.f64 -1 b)
(neg.f64 b)
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b
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(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
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(fma.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2))) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (*.f64 c c)) (/.f64 (pow.f64 b 4) (*.f64 a a))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) c) (/.f64 (*.f64 b b) a))))))
(fma.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (*.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) (*.f64 (*.f64 c a) (*.f64 c a))) (pow.f64 b 4)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2))) (*.f64 (pow.f64 c 3) a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))))))))
(fma.f64 -1/8 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 a (pow.f64 c 3)) (*.f64 (*.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2)))) (fma.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2))) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (*.f64 c c)) (/.f64 (pow.f64 b 4) (*.f64 a a))) (fma.f64 2 (/.f64 (fma.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -11/8192)) (/.f64 (pow.f64 c 3) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) c) (/.f64 (*.f64 b b) a))))))))
(fma.f64 -1/8 (*.f64 (/.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (/.f64 (pow.f64 c 3) -3/512)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) (/.f64 a (*.f64 b b)))) (fma.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (*.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) (*.f64 (*.f64 c a) (*.f64 c a))) (pow.f64 b 4)) (fma.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -7/8192) (pow.f64 c 3)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) c) (/.f64 (*.f64 b b) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) c) (/.f64 (*.f64 b b) a)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (*.f64 c c)) (/.f64 (pow.f64 b 4) (*.f64 a a))) (fma.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c)) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) c)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (*.f64 c c))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))))) (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (pow.f64 c 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) c) (/.f64 (*.f64 b b) a)) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (fma.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 5/6144)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (*.f64 1/8 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (*.f64 (*.f64 b b) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) a))) (pow.f64 c 3)) (fma.f64 2 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (/.f64 (*.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (*.f64 c c)) (/.f64 (pow.f64 b 4) (*.f64 a a))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))))
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c)) (-.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) c)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (*.f64 c c))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))) (/.f64 (fma.f64 2 (*.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 7/8192) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) 1/8) (/.f64 (/.f64 a (*.f64 b b)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)))) (pow.f64 c 3))))

eval781.0ms (5.2%)

Compiler

Compiled 29734 to 20266 computations (31.8% saved)

prune213.0ms (1.4%)

Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New89816914
Fresh12719
Picked101
Done235
Total91326939
Error
0.5b
Counts
939 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
45.0b
(/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a)
40.3b
(/.f64 (neg.f64 c) b)
46.1b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
43.8b
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
54.8b
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) (*.f64 2 a))
47.9b
(/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4)))) (*.f64 (*.f64 a 2) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
32.3b
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
32.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
54.0b
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
45.1b
(/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a))
45.6b
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
43.9b
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a))
45.0b
(-.f64 (/.f64 c b) (/.f64 b a))
43.8b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)) (*.f64 2 a))
50.2b
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))))
44.7b
(neg.f64 (/.f64 b a))
62.3b
(*.f64 (/.f64 1/2 a) (*.f64 b 2))
44.5b
(/.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a))
42.5b
(+.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))
54.3b
(/.f64 c b)
62.3b
(/.f64 b a)
32.5b
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a))
34.0b
(*.f64 (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 3/2)) (/.f64 -1/2 a))
43.8b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
45.0b
(*.f64 (/.f64 (*.f64 a (*.f64 c 2)) b) (/.f64 -1/2 a))
44.8b
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
Compiler

Compiled 792 to 560 computations (29.3% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (cbrt.f64 a) (*.f64 c -4))
0.6b
(cbrt.f64 a)
0.6b
(-.f64 b (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b))))
23.8b
(sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b)))
Compiler

Compiled 97 to 49 computations (49.5% saved)

series64.0ms (0.4%)

Counts
4 → 48
Calls

27 calls:

TimeVariablePointExpression
37.0ms
a
@0
(-.f64 b (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b))))
2.0ms
c
@0
(*.f64 (cbrt.f64 a) (*.f64 c -4))
2.0ms
a
@0
(sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b)))
2.0ms
a
@-inf
(sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b)))
2.0ms
a
@inf
(-.f64 b (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b))))

rewrite143.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
801×prod-diff_binary64
641×log-prod_binary64
366×fma-def_binary64
242×expm1-udef_binary64
242×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01461
129445
2359539
Stop Event
node limit
Counts
4 → 187
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b)))
(-.f64 b (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b))))
(cbrt.f64 a)
(*.f64 (cbrt.f64 a) (*.f64 c -4))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (*.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a))) (cbrt.f64 (exp.f64 (cbrt.f64 a))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/6) (pow.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 a (cbrt.f64 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 a) 1/3) (pow.f64 (sqrt.f64 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 a)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cbrt.f64 a) (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) -4) (cbrt.f64 a))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) -4) (cbrt.f64 a))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) -4) (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) -4) (cbrt.f64 a)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) -4) (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 c) -4) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 a (pow.f64 (*.f64 c -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 c -4) 3) a))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4))) 1))))))

simplify89.0ms (0.6%)

Algorithm
egg-herbie
Rules
719×times-frac_binary64
666×fma-def_binary64
374×fma-neg_binary64
357×unswap-sqr_binary64
344×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01421390
14631181
215111117
356751103
474701103
Stop Event
node limit
Counts
235 → 239
Calls
Call 1
Inputs
b
b
b
b
(+.f64 b (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))))
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 b (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3)))))
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 b (+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 -4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))))))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))))
b
(+.f64 b (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))))
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 b (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3)))))
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 b (+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 -4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))))))
(*.f64 -1 b)
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 -1 b))
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (*.f64 -1 b)))
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))) (*.f64 -1 b))))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))))
(+.f64 b (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4)))))
(+.f64 b (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(+.f64 b (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))))
(*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3)))
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))))
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 1 1/3))) (pow.f64 (*.f64 -2 (*.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 1 1/3))) 2)) (pow.f64 b 7))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))))))
(*.f64 2 b)
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 2 b))
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 2 b)))
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (*.f64 -4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))) (*.f64 2 b))))
0
(*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3)))
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))))
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3)))))
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) 2) (*.f64 16 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 a 4) (pow.f64 b 6)))))) b)))))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
Outputs
b
b
b
b
(+.f64 b (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))))
(+.f64 b (*.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) b)
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 b (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3)))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1))))
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) b)
(fma.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) b)
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 b (+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 -4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1) (*.f64 -4 (*.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 (*.f64 -4 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (/.f64 (*.f64 (pow.f64 a 3) -4) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))
(+.f64 b (fma.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4))))
(-.f64 (fma.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) 4)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 1 (sqrt.f64 -4)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (*.f64 1 (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 1 (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 b (/.f64 b (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 b (/.f64 b (sqrt.f64 -4))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (*.f64 1 (sqrt.f64 -4)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 1 (/.f64 (*.f64 b b) (sqrt.f64 -4)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4)) -1/8))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 b (/.f64 b (sqrt.f64 -4)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 -1/8 (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 b (/.f64 b (sqrt.f64 -4)))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (*.f64 1 (sqrt.f64 -4)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 1 (/.f64 (*.f64 b b) (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (*.f64 1 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5))))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4)) -1/8)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 b (/.f64 b (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 -1/8 (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (*.f64 (pow.f64 b 6) 1/16) (pow.f64 (sqrt.f64 -4) 5))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -4) 5) (pow.f64 b 6))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 b (/.f64 b (sqrt.f64 -4))))))))
b
(+.f64 b (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))))
(+.f64 b (*.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1)))
(fma.f64 -2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) b)
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 b (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3)))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1))))
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) b)
(fma.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) b)
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 b (+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 -4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1) (*.f64 -4 (*.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (/.f64 (*.f64 -4 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (/.f64 (*.f64 (pow.f64 a 3) -4) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))
(+.f64 b (fma.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4))))
(-.f64 (fma.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) 4)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 -1 b))
(fma.f64 2 (*.f64 (/.f64 c (/.f64 b a)) 1) (neg.f64 b))
(-.f64 (*.f64 (/.f64 c (/.f64 b a)) 2) b)
(-.f64 (*.f64 (*.f64 (/.f64 a b) c) 2) b)
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (*.f64 -1 b)))
(fma.f64 2 (*.f64 (/.f64 c (/.f64 b a)) 1) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (neg.f64 b)))
(fma.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (neg.f64 b))
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (neg.f64 b))
(-.f64 (*.f64 2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))))) b)
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))) (*.f64 -1 b))))
(fma.f64 2 (*.f64 (/.f64 c (/.f64 b a)) 1) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (fma.f64 4 (*.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (neg.f64 b))))
(fma.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4 (neg.f64 b)))
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 (/.f64 (*.f64 (pow.f64 c 3) 4) (pow.f64 b 5)) (pow.f64 a 3))) b)
(-.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) 4)) (fma.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) b))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 1 (sqrt.f64 -4))))
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(+.f64 b (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4)))))
(+.f64 b (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 1 (sqrt.f64 -4)))))
(-.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(+.f64 b (fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 1 (sqrt.f64 -4))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 1 (/.f64 (*.f64 b b) (sqrt.f64 -4)))) -1/2)))
(+.f64 (-.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) -1/2)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -4)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 -4))) -1/2) b))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 -4))) -1/2) b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))))
(+.f64 b (fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (fma.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 1 (sqrt.f64 -4))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 1 (/.f64 (*.f64 b b) (sqrt.f64 -4)))) -1/2))))
(+.f64 b (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) 1/8 (-.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) -1/2)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4)) 1/8) (fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -4)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 -4))) -1/2) b)))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (*.f64 (pow.f64 b 4) 1/8) (*.f64 -4 (sqrt.f64 -4))) b) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 b (/.f64 b (sqrt.f64 -4)))))))
(*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3)))
(*.f64 (*.f64 (/.f64 c (/.f64 b a)) 1) 2)
(*.f64 (/.f64 c (/.f64 b a)) 2)
(*.f64 (*.f64 (/.f64 a b) c) 2)
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))))
(*.f64 2 (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (*.f64 (/.f64 c (/.f64 b a)) 1)))
(*.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))))
(*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)))
(*.f64 2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))))
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3)))))
(fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (fma.f64 2 (*.f64 (/.f64 c (/.f64 b a)) 1) (*.f64 (*.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) 4)))
(fma.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4))
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 (/.f64 (*.f64 (pow.f64 c 3) 4) (pow.f64 b 5)) (pow.f64 a 3)))
(fma.f64 2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) 4)))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 1 1/3))) (pow.f64 (*.f64 -2 (*.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 1 1/3))) 2)) (pow.f64 b 7))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))))))
(fma.f64 1/2 (/.f64 (fma.f64 16 (*.f64 1 (*.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1))) 2)) (pow.f64 b 7)) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (fma.f64 2 (*.f64 (/.f64 c (/.f64 b a)) 1) (*.f64 (*.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) 4))))
(fma.f64 1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4)))
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (fma.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 4 (*.f64 (/.f64 1/2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20))))
(fma.f64 2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) (fma.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 4 (*.f64 (/.f64 1/2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 2 b))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1) (*.f64 b 2))
(fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 b 2 (*.f64 -2 (*.f64 (/.f64 a b) c)))
(fma.f64 -2 (*.f64 (/.f64 a b) c) (*.f64 b 2))
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (fma.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1) (*.f64 b 2)))
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 b 2 (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 b 2 (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))))
(fma.f64 b 2 (*.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a)))))))
(+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (*.f64 -4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (fma.f64 -2 (*.f64 (/.f64 c (/.f64 b a)) 1) (fma.f64 -4 (*.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (*.f64 b 2))))
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (fma.f64 b 2 (/.f64 (*.f64 -4 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (fma.f64 b 2 (/.f64 (*.f64 (pow.f64 a 3) -4) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))
(fma.f64 -2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) (fma.f64 b 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4))))
0
(*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3)))
(*.f64 (*.f64 (/.f64 c (/.f64 b a)) 1) 2)
(*.f64 (/.f64 c (/.f64 b a)) 2)
(*.f64 (*.f64 (/.f64 a b) c) 2)
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))))
(*.f64 2 (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (*.f64 (/.f64 c (/.f64 b a)) 1)))
(*.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))))
(*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)))
(*.f64 2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))))
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3)))))
(fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (fma.f64 2 (*.f64 (/.f64 c (/.f64 b a)) 1) (*.f64 (*.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) 4)))
(fma.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4))
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (*.f64 (/.f64 (*.f64 (pow.f64 c 3) 4) (pow.f64 b 5)) (pow.f64 a 3)))
(fma.f64 2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) 4)))
(+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)) (pow.f64 1 1/3))) (+.f64 (*.f64 2 (*.f64 (/.f64 (*.f64 c a) b) (pow.f64 1 1/3))) (+.f64 (*.f64 4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (pow.f64 1 1/3))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) 2) (*.f64 16 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 a 4) (pow.f64 b 6)))))) b)))))
(fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) 1)) (pow.f64 b 3)) (fma.f64 2 (*.f64 (/.f64 c (/.f64 b a)) 1) (fma.f64 4 (*.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (pow.f64 (*.f64 -2 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) b)))))
(fma.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 c 4) b) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4)))
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)) (fma.f64 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 4 (*.f64 1/2 (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) b)))))
(fma.f64 2 (*.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) b)) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) 4))))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (cbrt.f64 a)))
(*.f64 c (*.f64 (cbrt.f64 a) -4))
(*.f64 (cbrt.f64 a) (*.f64 c -4))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (cbrt.f64 a)))
(*.f64 c (*.f64 (cbrt.f64 a) -4))
(*.f64 (cbrt.f64 a) (*.f64 c -4))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (cbrt.f64 a)))
(*.f64 c (*.f64 (cbrt.f64 a) -4))
(*.f64 (cbrt.f64 a) (*.f64 c -4))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (cbrt.f64 a)))
(*.f64 c (*.f64 (cbrt.f64 a) -4))
(*.f64 (cbrt.f64 a) (*.f64 c -4))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (cbrt.f64 a)))
(*.f64 c (*.f64 (cbrt.f64 a) -4))
(*.f64 (cbrt.f64 a) (*.f64 c -4))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (cbrt.f64 a)))
(*.f64 c (*.f64 (cbrt.f64 a) -4))
(*.f64 (cbrt.f64 a) (*.f64 c -4))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (cbrt.f64 a)))
(*.f64 c (*.f64 (cbrt.f64 a) -4))
(*.f64 (cbrt.f64 a) (*.f64 c -4))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (cbrt.f64 a)))
(*.f64 c (*.f64 (cbrt.f64 a) -4))
(*.f64 (cbrt.f64 a) (*.f64 c -4))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (cbrt.f64 a)))
(*.f64 c (*.f64 (cbrt.f64 a) -4))
(*.f64 (cbrt.f64 a) (*.f64 c -4))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (cbrt.f64 a)))
(*.f64 c (*.f64 (cbrt.f64 a) -4))
(*.f64 (cbrt.f64 a) (*.f64 c -4))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (cbrt.f64 a)))
(*.f64 c (*.f64 (cbrt.f64 a) -4))
(*.f64 (cbrt.f64 a) (*.f64 c -4))
(*.f64 -4 (*.f64 c (pow.f64 (*.f64 1 a) 1/3)))
(*.f64 -4 (*.f64 c (cbrt.f64 a)))
(*.f64 c (*.f64 (cbrt.f64 a) -4))
(*.f64 (cbrt.f64 a) (*.f64 c -4))

localize4.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 c b) (/.f64 b a))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
c
@0
(-.f64 (/.f64 c b) (/.f64 b a))
0.0ms
b
@inf
(-.f64 (/.f64 c b) (/.f64 b a))
0.0ms
a
@0
(-.f64 (/.f64 c b) (/.f64 b a))
0.0ms
a
@-inf
(-.f64 (/.f64 c b) (/.f64 b a))
0.0ms
b
@0
(-.f64 (/.f64 c b) (/.f64 b a))

rewrite103.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
470×log-prod_binary64
351×exp-prod_binary64
337×pow-prod-down_binary64
309×fma-def_binary64
241×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116410
2265210
Stop Event
node limit
Counts
1 → 147
Calls
Call 1
Inputs
(-.f64 (/.f64 c b) (/.f64 b a))
Outputs
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(/.f64 1 (*.f64 b a)) (fma.f64 (/.f64 (neg.f64 b) a) 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (/.f64 1 (*.f64 b a)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b a))) (cbrt.f64 (pow.f64 (/.f64 a b) -2)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (/.f64 1 (*.f64 b a)) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (/.f64 b a) 3)) (/.f64 1 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (pow.f64 (/.f64 c b) 2))) (fma.f64 (neg.f64 (/.f64 1 a)) b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (/.f64 b a) 3)) (/.f64 1 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (pow.f64 (/.f64 c b) 2))) (fma.f64 (/.f64 (neg.f64 b) a) 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (/.f64 b a) 3)) (/.f64 1 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (pow.f64 (/.f64 c b) 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b a))) (cbrt.f64 (pow.f64 (/.f64 a b) -2)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (/.f64 b a) 3)) (/.f64 1 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (pow.f64 (/.f64 c b) 2))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 b) c (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 2) (pow.f64 (/.f64 a b) -2)) (/.f64 1 (+.f64 (/.f64 c b) (/.f64 b a))) (fma.f64 (neg.f64 (/.f64 1 a)) b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 2) (pow.f64 (/.f64 a b) -2)) (/.f64 1 (+.f64 (/.f64 c b) (/.f64 b a))) (fma.f64 (/.f64 (neg.f64 b) a) 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 2) (pow.f64 (/.f64 a b) -2)) (/.f64 1 (+.f64 (/.f64 c b) (/.f64 b a))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b a))) (cbrt.f64 (pow.f64 (/.f64 a b) -2)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 2) (pow.f64 (/.f64 a b) -2)) (/.f64 1 (+.f64 (/.f64 c b) (/.f64 b a))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 b) a)) 2) (cbrt.f64 (/.f64 (neg.f64 b) a)) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 b) a)) (sqrt.f64 (/.f64 (neg.f64 b) a)) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 b a) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 c (cbrt.f64 b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 c (cbrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b -1/2) (/.f64 c (sqrt.f64 b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b -1/2) (/.f64 c (sqrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) b) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) b) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) b) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) b) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 c b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 c b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 c) (sqrt.f64 b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 c) (sqrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (fma.f64 (neg.f64 (/.f64 1 a)) b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (fma.f64 (/.f64 (neg.f64 b) a) 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b a))) (cbrt.f64 (pow.f64 (/.f64 a b) -2)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 a b) -2))) (cbrt.f64 (/.f64 b a)) (/.f64 c b))))))

simplify92.0ms (0.6%)

Algorithm
egg-herbie
Rules
506×fma-def_binary64
266×fma-neg_binary64
120×associate-/l*_binary64
96×cancel-sign-sub-inv_binary64
94×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09368
114314
224314
334314
447314
571314
6119314
7175314
8257314
9408314
10679314
111121314
121656314
132118314
142220314
152224314
162236314
172246314
Stop Event
saturated
Counts
183 → 152
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
3.2b
(/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a))
6.0b
(*.f64 (/.f64 c b) a)
Compiler

Compiled 47 to 16 computations (66% saved)

series8.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite110.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
747×log-prod_binary64
742×prod-diff_binary64
277×fma-def_binary64
231×expm1-udef_binary64
231×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01123
125120
2376120
Stop Event
node limit
Counts
2 → 92
Calls
Call 1
Inputs
(*.f64 (/.f64 c b) a)
(/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b))) (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) a) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b) a)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 c b) a) a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (+.f64 a a) (-.f64 (*.f64 (/.f64 c b) a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (*.f64 2 (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 2) (cbrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) 2)) (*.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) (sqrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) -2) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 1) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 1) (/.f64 2 (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) 1) (/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) (sqrt.f64 a)) (/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 a) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 2) (/.f64 2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) 2)) a) (/.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) a) (/.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) 2) (/.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) 2)) 2) (/.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 a a)) (-.f64 (*.f64 (/.f64 c b) a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) 1) (/.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 2 (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) 2)) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (cbrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (+.f64 a a))) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (sqrt.f64 (+.f64 a a))) (/.f64 2 (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) 2)) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1 (/.f64 a (-.f64 (*.f64 (/.f64 c b) a) b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 1))))))

simplify169.0ms (1.1%)

Algorithm
egg-herbie
Rules
819×fma-def_binary64
461×fma-neg_binary64
328×div-sub_binary64
258×associate-/l*_binary64
177×associate-/l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011620
118566
231566
343566
457566
587566
6151566
7217566
8385566
9794566
101754566
113020566
123780566
133998566
144213566
154279566
164319566
174351566
184351566
Stop Event
saturated
Counts
164 → 98
Calls
Call 1
Inputs
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
Outputs
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(*.f64 (/.f64 c b) a)
(*.f64 a (/.f64 c b))
(*.f64 c (/.f64 a b))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
0.2b
(*.f64 a (*.f64 c -4))
0.7b
(+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))
12.0b
(sqrt.f64 (*.f64 a (*.f64 c -4)))
Compiler

Compiled 66 to 41 computations (37.9% saved)

series15.0ms (0.1%)

Counts
3 → 28
Calls

24 calls:

TimeVariablePointExpression
1.0ms
a
@inf
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
1.0ms
c
@inf
(+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))
1.0ms
a
@-inf
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
1.0ms
c
@inf
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
1.0ms
c
@-inf
(+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))

rewrite85.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
713×log-prod_binary64
674×prod-diff_binary64
262×fma-def_binary64
253×expm1-udef_binary64
253×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01345
128845
2383945
Stop Event
node limit
Counts
3 → 114
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a (*.f64 c -4)))
(+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (cbrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a c) 1/2) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 -4 a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 1))))))
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simplify79.0ms (0.5%)

Algorithm
egg-herbie
Rules
917×times-frac_binary64
680×associate-/l*_binary64
557×unswap-sqr_binary64
491×fma-def_binary64
488×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01431103
1416899
21536854
36532830
47653826
Stop Event
node limit
Counts
142 → 161
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 2 b)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(*.f64 2 b)
(*.f64 2 b)
(/.f64 b a)
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 1/2 (/.f64 b a)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))
(+.f64 (/.f64 b a) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))
(+.f64 (/.f64 b a) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))))
(*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(/.f64 b a)
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b)
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))))))
(+.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) b) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 b 2))
(fma.f64 1/2 (/.f64 (*.f64 c a) (/.f64 b -4)) (*.f64 b 2))
(fma.f64 b 2 (*.f64 (/.f64 1/2 b) (*.f64 (*.f64 c a) -4)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 b 2)))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 c a) (/.f64 b -4)) (*.f64 b 2)) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))
(fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (fma.f64 b 2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (/.f64 (pow.f64 b 3) -2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))))
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 b 2))))
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (fma.f64 1/2 (/.f64 (*.f64 c a) (/.f64 b -4)) (*.f64 b 2))))
(fma.f64 1/16 (*.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 1/2 (*.f64 (*.f64 a -4) (/.f64 c b)) (fma.f64 b 2 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (/.f64 (pow.f64 b 3) -2)))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(*.f64 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) -1/2)
(*.f64 (/.f64 (*.f64 c a) (/.f64 b -4)) -1/2)
(*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 c a) -4))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (*.f64 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) -1/2))
(fma.f64 (/.f64 (*.f64 c a) (/.f64 b -4)) -1/2 (/.f64 (*.f64 (*.f64 c c) 1/8) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) 16))))
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) 16) (pow.f64 b 3)) (*.f64 c c)) 1/8))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (/.f64 (*.f64 -1/16 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 (*.f64 a a) 16)) 1/8 (fma.f64 (/.f64 (*.f64 c a) (/.f64 b -4)) -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) -1/16)))
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) 16) (pow.f64 b 3)) (*.f64 c c)) 1/8 (/.f64 (*.f64 (*.f64 (pow.f64 a 3) -64) (*.f64 (pow.f64 c 3) -1/16)) (pow.f64 b 5))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/2 (/.f64 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4))) 2)) (pow.f64 b 7))))))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 (*.f64 a a) 16)) 1/8 (fma.f64 (/.f64 (*.f64 c a) (/.f64 b -4)) -1/2 (fma.f64 1/2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2)) (pow.f64 b 7)) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) -1/16))))
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) 16) (pow.f64 b 3)) (*.f64 c c)) 1/8 (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (/.f64 (*.f64 (*.f64 (pow.f64 a 3) -64) (*.f64 (pow.f64 c 3) -1/16)) (pow.f64 b 5)))))
(fma.f64 (*.f64 (*.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) 16) (pow.f64 b 3)) (*.f64 c c)) 1/8 (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 (*.f64 (*.f64 (pow.f64 a 3) -64) (*.f64 (pow.f64 c 3) -1/16)) (pow.f64 b 5)))))
(*.f64 2 b)
(*.f64 b 2)
(*.f64 2 b)
(*.f64 b 2)
(/.f64 b a)
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a)))
(*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))))
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a))))
(fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))))))
(fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) 1/4)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 1/2 (/.f64 b a)))))
(fma.f64 1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (*.f64 1/2 (/.f64 b a)))))
(+.f64 (fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4)) -1/16)))
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 1/64 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))
(+.f64 (/.f64 b a) (*.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (/.f64 b a) (/.f64 (*.f64 -1 c) b))
(+.f64 (/.f64 b a) (/.f64 (neg.f64 c) b))
(-.f64 (/.f64 b a) (/.f64 c b))
(+.f64 (/.f64 b a) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))
(+.f64 (/.f64 b a) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))))))
(+.f64 (/.f64 b a) (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 -1 c) b)))
(+.f64 (/.f64 b a) (fma.f64 -1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (/.f64 (neg.f64 c) b)))
(-.f64 (fma.f64 -1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (/.f64 b a)) (/.f64 c b))
(+.f64 (/.f64 b a) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))))
(+.f64 (/.f64 b a) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (*.f64 -1 c) b)) (fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 (*.f64 1/32 (*.f64 a (*.f64 a -64))) (pow.f64 c 3)) (pow.f64 b 5))))
(+.f64 (/.f64 b a) (fma.f64 -1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 1/32 (*.f64 (*.f64 a (*.f64 a -64)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (neg.f64 c) b))))
(+.f64 (-.f64 (/.f64 b a) (/.f64 c b)) (fma.f64 1/32 (*.f64 (*.f64 a (*.f64 a -64)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 (/.f64 -1/16 (pow.f64 b 3)) (*.f64 c (*.f64 c (*.f64 a 16))))))
(*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) -1/4)
(/.f64 (*.f64 1 c) b)
(/.f64 c b)
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) -1/4))
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 1 c) b))
(fma.f64 1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (/.f64 c b))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) -1/32)))
(fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) -1/32 (/.f64 (*.f64 1 c) b)))
(fma.f64 1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 (*.f64 (*.f64 a (*.f64 a -64)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/32 (/.f64 c b)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (*.f64 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 1/4 (/.f64 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4))) 2)) (*.f64 a (pow.f64 b 7))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) -1/32))))
(+.f64 (fma.f64 1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 1 c) b)) (fma.f64 1/4 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2)) (*.f64 a (pow.f64 b 7))) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) -1/32)))
(fma.f64 1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 (/.f64 1/4 (pow.f64 b 7)) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) a) (fma.f64 (*.f64 (*.f64 a (*.f64 a -64)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/32 (/.f64 c b))))
(fma.f64 1/16 (*.f64 (*.f64 a 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 1/4 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (*.f64 a (pow.f64 b 7))) (fma.f64 (*.f64 (*.f64 a (*.f64 a -64)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/32 (/.f64 c b))))
(/.f64 b a)

eval294.0ms (2%)

Compiler

Compiled 16703 to 9382 computations (43.8% saved)

prune169.0ms (1.1%)

Pruning

34 alts after pruning (28 fresh and 6 done)

PrunedKeptTotal
New68013693
Fresh31518
Picked011
Done257
Total68534719
Error
0.3b
Counts
719 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
45.0b
(/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a)
40.3b
(/.f64 (neg.f64 c) b)
45.0b
(*.f64 (*.f64 (*.f64 (/.f64 a b) c) 2) (/.f64 -1/2 a))
34.0b
(*.f64 (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 3/2)) (/.f64 -1/2 a))
43.8b
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
54.8b
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) (*.f64 2 a))
47.9b
(/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4)))) (*.f64 (*.f64 a 2) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
45.1b
(/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a))
45.1b
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a))
50.2b
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b))))
32.3b
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
43.9b
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a))
32.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
54.0b
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
45.2b
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a))
52.3b
(/.f64 (*.f64 2 (-.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b) a))) b)) (*.f64 2 a))
45.6b
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
43.8b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)) (*.f64 2 a))
50.2b
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))))
44.7b
(neg.f64 (/.f64 b a))
62.3b
(*.f64 (/.f64 1/2 a) (*.f64 b 2))
44.5b
(/.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a))
42.5b
(+.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))
54.3b
(/.f64 c b)
45.5b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (cbrt.f64 a)))
51.0b
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b)))
45.0b
(*.f64 (/.f64 (*.f64 a (*.f64 c 2)) b) (/.f64 -1/2 a))
44.8b
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
29.1b
(*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a))
52.6b
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a)
45.0b
(-.f64 (/.f64 c b) (/.f64 b a))
43.8b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
62.3b
(/.f64 1/2 (/.f64 a (*.f64 b 2)))
62.3b
(/.f64 b a)
Compiler

Compiled 1011 to 704 computations (30.4% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (cbrt.f64 a) (*.f64 c -4))
0.6b
(cbrt.f64 a)
0.6b
(-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b))
4.3b
(sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))
Compiler

Compiled 83 to 45 computations (45.8% saved)

series64.0ms (0.4%)

Counts
2 → 24
Calls

15 calls:

TimeVariablePointExpression
35.0ms
a
@0
(sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))
9.0ms
a
@inf
(sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))
3.0ms
a
@-inf
(sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))
3.0ms
c
@inf
(-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b))
2.0ms
c
@-inf
(-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b))

rewrite119.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
621×log-prod_binary64
452×prod-diff_binary64
428×pow-prod-down_binary64
319×pow2_binary64
237×pow-unpow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01233
125228
2318227
Stop Event
node limit
Counts
2 → 122
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))
(-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b))
Outputs
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a (*.f64 c -4)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 b (pow.f64 (*.f64 a (*.f64 c -4)) 1/2))) 2)) (cbrt.f64 (hypot.f64 b (pow.f64 (*.f64 a (*.f64 c -4)) 1/2))) b)))))

simplify84.0ms (0.6%)

Algorithm
egg-herbie
Rules
719×associate-*l*_binary64
555×times-frac_binary64
543×unswap-sqr_binary64
418×associate-/l*_binary64
303×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0102744
1289650
21020616
35361604
46890590
Stop Event
node limit
Counts
146 → 150
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4)))
(*.f64 (pow.f64 (*.f64 -1 a) 1/6) (*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (sqrt.f64 -4)))
(*.f64 (pow.f64 (*.f64 -1 a) 1/6) (*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (sqrt.f64 -4)))
(*.f64 (pow.f64 (*.f64 -1 a) 1/6) (*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (sqrt.f64 -4)))
(*.f64 (pow.f64 (*.f64 -1 a) 1/6) (*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (sqrt.f64 -4)))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b))
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(*.f64 2 b)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))))
Outputs
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 a 1/6) (sqrt.f64 -4)))
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 -4) (sqrt.f64 c)))
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 c) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 a 1/6) (sqrt.f64 -4)))
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 -4) (sqrt.f64 c)))
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 c) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 a 1/6) (sqrt.f64 -4)))
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 -4) (sqrt.f64 c)))
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 c) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 a 1/6) (sqrt.f64 -4)))
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 -4) (sqrt.f64 c)))
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 c) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 a 1/6) (sqrt.f64 -4)))
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 -4) (sqrt.f64 c)))
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 c) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 a 1/6) (sqrt.f64 -4)))
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 -4) (sqrt.f64 c)))
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 c) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 a 1/6) (sqrt.f64 -4)))
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 -4) (sqrt.f64 c)))
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 c) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 (*.f64 1 a) 1/6) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 c) (*.f64 (pow.f64 a 1/6) (sqrt.f64 -4)))
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 -4) (sqrt.f64 c)))
(*.f64 (pow.f64 a 1/6) (*.f64 (sqrt.f64 c) (sqrt.f64 -4)))
(*.f64 (pow.f64 (*.f64 -1 a) 1/6) (*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (sqrt.f64 -4)))
(*.f64 (*.f64 (pow.f64 (neg.f64 a) 1/6) (sqrt.f64 (*.f64 c (cbrt.f64 -1)))) (sqrt.f64 -4))
(*.f64 (sqrt.f64 -4) (*.f64 (pow.f64 (neg.f64 a) 1/6) (sqrt.f64 (*.f64 c (cbrt.f64 -1)))))
(*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (*.f64 (sqrt.f64 -4) (pow.f64 (neg.f64 a) 1/6)))
(*.f64 (pow.f64 (*.f64 -1 a) 1/6) (*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (sqrt.f64 -4)))
(*.f64 (*.f64 (pow.f64 (neg.f64 a) 1/6) (sqrt.f64 (*.f64 c (cbrt.f64 -1)))) (sqrt.f64 -4))
(*.f64 (sqrt.f64 -4) (*.f64 (pow.f64 (neg.f64 a) 1/6) (sqrt.f64 (*.f64 c (cbrt.f64 -1)))))
(*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (*.f64 (sqrt.f64 -4) (pow.f64 (neg.f64 a) 1/6)))
(*.f64 (pow.f64 (*.f64 -1 a) 1/6) (*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (sqrt.f64 -4)))
(*.f64 (*.f64 (pow.f64 (neg.f64 a) 1/6) (sqrt.f64 (*.f64 c (cbrt.f64 -1)))) (sqrt.f64 -4))
(*.f64 (sqrt.f64 -4) (*.f64 (pow.f64 (neg.f64 a) 1/6) (sqrt.f64 (*.f64 c (cbrt.f64 -1)))))
(*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (*.f64 (sqrt.f64 -4) (pow.f64 (neg.f64 a) 1/6)))
(*.f64 (pow.f64 (*.f64 -1 a) 1/6) (*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (sqrt.f64 -4)))
(*.f64 (*.f64 (pow.f64 (neg.f64 a) 1/6) (sqrt.f64 (*.f64 c (cbrt.f64 -1)))) (sqrt.f64 -4))
(*.f64 (sqrt.f64 -4) (*.f64 (pow.f64 (neg.f64 a) 1/6) (sqrt.f64 (*.f64 c (cbrt.f64 -1)))))
(*.f64 (sqrt.f64 (*.f64 c (cbrt.f64 -1))) (*.f64 (sqrt.f64 -4) (pow.f64 (neg.f64 a) 1/6)))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))))
(*.f64 (sqrt.f64 -4) (neg.f64 (sqrt.f64 (*.f64 c a))))
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(fma.f64 -1 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)
(fma.f64 (sqrt.f64 -4) (neg.f64 (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 -1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) b) (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))))
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)))
(fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a))) b)))
(fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -4) b)))
(+.f64 b (-.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/32)) (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)))))
(+.f64 b (-.f64 (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (*.f64 (/.f64 b (/.f64 -4 b)) (*.f64 1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))) (*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 -1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)) b) (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(*.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a -4)) b))
(/.f64 (*.f64 (*.f64 c a) 2) b)
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b)))
(fma.f64 -1/2 (/.f64 (*.f64 c (*.f64 a -4)) b) (*.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 16 a) a)) (pow.f64 b 3))))
(+.f64 (/.f64 (*.f64 (*.f64 c a) 2) b) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 2) (pow.f64 b 3)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))))))
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 16 a) a)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (*.f64 c (*.f64 a -4)) b) (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)))))
(+.f64 (/.f64 (*.f64 (*.f64 c a) 2) b) (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 2) (pow.f64 b 3)) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) 4) (pow.f64 b 5))))
(+.f64 (/.f64 (*.f64 (*.f64 c a) 2) b) (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 2) (pow.f64 b 3)) (/.f64 (*.f64 (pow.f64 (*.f64 c a) 3) 4) (pow.f64 b 5))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (/.f64 (*.f64 1/2 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) -1/8) 2))) (pow.f64 b 7)))))
(fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 16 a) a)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (*.f64 c (*.f64 a -4)) b) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) 2)) (pow.f64 b 7))))))
(+.f64 (+.f64 (/.f64 (*.f64 (*.f64 c a) 2) b) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 2) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) 4) (pow.f64 b 5))))
(+.f64 (+.f64 (/.f64 (*.f64 (*.f64 c a) 2) b) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 2) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) 4) (pow.f64 b 5))))
(+.f64 (+.f64 (/.f64 (*.f64 (*.f64 c a) 2) b) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 2) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) 20)) (pow.f64 b 7)) (/.f64 (*.f64 (pow.f64 (*.f64 c a) 3) 4) (pow.f64 b 5))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 b 2))
(fma.f64 b 2 (*.f64 (/.f64 (*.f64 c (*.f64 a -4)) b) 1/2))
(fma.f64 b 2 (/.f64 (*.f64 (*.f64 c a) -2) b))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 b 2)))
(+.f64 (fma.f64 b 2 (*.f64 (/.f64 (*.f64 c (*.f64 a -4)) b) 1/2)) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)))
(+.f64 (/.f64 (*.f64 (*.f64 c a) -2) b) (fma.f64 b 2 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) -2)) (pow.f64 b 3))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 b 2))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) 1/16 (fma.f64 b 2 (*.f64 (/.f64 (*.f64 c (*.f64 a -4)) b) 1/2))))
(+.f64 (/.f64 (*.f64 (*.f64 c a) -2) b) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) -2)) (pow.f64 b 3)) (fma.f64 b 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -4) (pow.f64 b 5)))))
(+.f64 (/.f64 (*.f64 (*.f64 c a) -2) b) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) -2)) (pow.f64 b 3)) (fma.f64 b 2 (/.f64 (*.f64 (pow.f64 (*.f64 c a) 3) -4) (pow.f64 b 5)))))

localize5.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
3.3b
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a))
6.0b
(*.f64 (/.f64 c b) a)
Compiler

Compiled 36 to 12 computations (66.7% saved)

series25.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
22.0ms
b
@-inf
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a))
0.0ms
c
@0
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a))
0.0ms
a
@inf
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a))
0.0ms
a
@0
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a))
0.0ms
c
@inf
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a))

rewrite59.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
715×prod-diff_binary64
573×log-prod_binary64
285×pow2_binary64
270×fma-def_binary64
200×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
121913
2309913
Stop Event
node limit
Counts
1 → 51
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 c b) a) (/.f64 1 a)) (*.f64 (neg.f64 b) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 a) (*.f64 (/.f64 c b) a)) (*.f64 (/.f64 1 a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 c b) a) a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (-.f64 (*.f64 (/.f64 c b) a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) 2) (/.f64 a (cbrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) (/.f64 a (sqrt.f64 (-.f64 (*.f64 (/.f64 c b) a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) (pow.f64 b 3)) (*.f64 a (fma.f64 b (fma.f64 (/.f64 c b) a b) (pow.f64 (*.f64 (/.f64 c b) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) (*.f64 b b)) (*.f64 a (fma.f64 (/.f64 c b) a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (/.f64 c b) a) b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) (pow.f64 b 3)) 1) (*.f64 (fma.f64 b (fma.f64 (/.f64 c b) a b) (pow.f64 (*.f64 (/.f64 c b) a) 2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) (*.f64 b b)) 1) (*.f64 (fma.f64 (/.f64 c b) a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) (pow.f64 b 3)) -1) (*.f64 (fma.f64 b (fma.f64 (/.f64 c b) a b) (pow.f64 (*.f64 (/.f64 c b) a) 2)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) (*.f64 b b)) -1) (*.f64 (fma.f64 (/.f64 c b) a b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) (pow.f64 b 3))) (*.f64 (neg.f64 a) (fma.f64 b (fma.f64 (/.f64 c b) a b) (pow.f64 (*.f64 (/.f64 c b) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) (*.f64 b b))) (*.f64 (neg.f64 a) (fma.f64 (/.f64 c b) a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) (pow.f64 b 3)) (/.f64 1 a)) (fma.f64 b (fma.f64 (/.f64 c b) a b) (pow.f64 (*.f64 (/.f64 c b) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) (*.f64 b b)) (/.f64 1 a)) (fma.f64 (/.f64 c b) a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (*.f64 (/.f64 c b) a) b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) -1) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 a) (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3) (pow.f64 b 3))) (fma.f64 b (fma.f64 (/.f64 c b) a b) (pow.f64 (*.f64 (/.f64 c b) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 a) (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2) (*.f64 b b))) (fma.f64 (/.f64 c b) a b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 3) (/.f64 (pow.f64 a -2) a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (-.f64 (*.f64 (/.f64 c b) a) b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 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 (*.f64 (/.f64 c b) a) b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 c b) a) (/.f64 1 a) (*.f64 (neg.f64 b) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) (*.f64 (/.f64 c b) a) (*.f64 (/.f64 1 a) (neg.f64 b)))))))

simplify74.0ms (0.5%)

Algorithm
egg-herbie
Rules
506×fma-def_binary64
266×fma-neg_binary64
120×associate-/l*_binary64
96×cancel-sign-sub-inv_binary64
94×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09368
114314
224314
334314
447314
571314
6119314
7175314
8257314
9408314
10679314
111121314
121656314
132118314
142220314
152224314
162236314
172246314
Stop Event
saturated
Counts
87 → 56
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
2.6b
(*.f64 c (/.f64 a b))
3.2b
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a))
Compiler

Compiled 47 to 16 computations (66% saved)

series37.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
32.0ms
a
@0
(*.f64 c (/.f64 a b))
0.0ms
c
@0
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a))
0.0ms
a
@inf
(*.f64 c (/.f64 a b))
0.0ms
b
@-inf
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a))
0.0ms
a
@-inf
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a))

rewrite73.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
747×log-prod_binary64
742×prod-diff_binary64
277×fma-def_binary64
231×expm1-udef_binary64
231×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01123
125120
2375320
Stop Event
node limit
Counts
2 → 91
Calls
Call 1
Inputs
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a))
(*.f64 c (/.f64 a b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 c (/.f64 a b)) a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 2 (/.f64 a (fma.f64 c (/.f64 a b) (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (*.f64 2 (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b))) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)) 2) (cbrt.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b))) 2)) (*.f64 (cbrt.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b)))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)) (sqrt.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b)))) (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b)))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) -2) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) 1) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) 1) (/.f64 2 (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 c (/.f64 a b) (neg.f64 b))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 c (/.f64 a b) (neg.f64 b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 c (/.f64 a b) (neg.f64 b))) 1) (/.f64 (sqrt.f64 (fma.f64 c (/.f64 a b) (neg.f64 b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 c (/.f64 a b) (neg.f64 b))) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 (fma.f64 c (/.f64 a b) (neg.f64 b))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 c (/.f64 a b) (neg.f64 b))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (fma.f64 c (/.f64 a b) (neg.f64 b))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 c (/.f64 a b) (neg.f64 b))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (fma.f64 c (/.f64 a b) (neg.f64 b))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 c (/.f64 a b) (neg.f64 b))) (sqrt.f64 a)) (/.f64 (sqrt.f64 (fma.f64 c (/.f64 a b) (neg.f64 b))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) 2) (/.f64 2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 a) (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b))) 2)) 2) (/.f64 (cbrt.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b)))) 2) (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b)))) a) (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b))) 2)) a) (/.f64 (cbrt.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 a a)) (fma.f64 c (/.f64 a b) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b))) 2)) 1) (/.f64 (cbrt.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b)))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b)))) 1) (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b)))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 2 (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b))) 2)) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (cbrt.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b)))) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (sqrt.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b)))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (+.f64 a a))) (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (sqrt.f64 (+.f64 a a))) (/.f64 2 (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b))) 2)) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b)))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (fma.f64 c (/.f64 a b) (neg.f64 b))) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) a)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (/.f64 a b))) (cbrt.f64 (pow.f64 (exp.f64 c) (/.f64 a b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (/.f64 a b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (/.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) c) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (neg.f64 a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (/.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (/.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (/.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (/.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (/.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a b))) 1))))))

simplify168.0ms (1.1%)

Algorithm
egg-herbie
Rules
819×fma-def_binary64
461×fma-neg_binary64
331×div-sub_binary64
251×associate-/l*_binary64
177×associate-/l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011620
118566
231566
343566
457566
587566
6151566
7217566
8384566
9793566
101758566
113025566
123785566
134003566
144218566
154284566
164324566
174356566
184356566
Stop Event
saturated
Counts
163 → 97
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 c a) b)
Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))
(/.f64 (*.f64 c a) b)
(/.f64 c (/.f64 b a))
(/.f64 a (/.f64 b c))
(*.f64 (/.f64 a b) c)
(*.f64 c (/.f64 a b))
(*.f64 a (/.f64 c b))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3)
3.2b
(/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a))
6.0b
(*.f64 (/.f64 c b) a)
20.3b
(cbrt.f64 (*.f64 (/.f64 c b) a))
Compiler

Compiled 71 to 28 computations (60.6% saved)

series54.0ms (0.4%)

Counts
3 → 11
Calls

27 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a))
1.0ms
c
@-inf
(/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a))
1.0ms
c
@0
(/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a))
1.0ms
b
@-inf
(pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3)
1.0ms
a
@inf
(/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a))

rewrite86.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
923×prod-diff_binary64
329×fma-def_binary64
257×expm1-udef_binary64
257×log1p-udef_binary64
216×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01432
131829
2426429
Stop Event
node limit
Counts
3 → 136
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (/.f64 c b) a))
(/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) (cbrt.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 c b) a))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 c b) a))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c b)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 c b) a) 1/6) (pow.f64 (*.f64 (/.f64 c b) a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) a)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 c a)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c b) a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 c b) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c b) a) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b) a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 c b) a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 c b) a) a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 a (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (*.f64 2 (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 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(/.f64 c b) a) b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) 3) (pow.f64 (*.f64 a 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (/.f64 c b) a) b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 (/.f64 1 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 c b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2) (cbrt.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 c b) a))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c b)) (*.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 c b) 2)) (*.f64 (cbrt.f64 (/.f64 c b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 c b) a)) (sqrt.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 c b) a) 1/6) (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) 1/6) (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 c b)) (*.f64 (sqrt.f64 (/.f64 c b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c a) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2)) 3) (cbrt.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 c b) a) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (/.f64 c b) a) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (pow.f64 (cbrt.f64 b) 2)) (/.f64 a (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 b)) (/.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c b) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (cbrt.f64 (pow.f64 (/.f64 c b) 2))) (cbrt.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (sqrt.f64 (/.f64 c b))) (sqrt.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2) 1) (cbrt.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2) (cbrt.f64 (/.f64 c b))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 2) (pow.f64 (*.f64 (/.f64 c b) a) 1/6)) (pow.f64 (*.f64 (/.f64 c b) a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) a) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b) a)) 1))))))

simplify97.0ms (0.6%)

Algorithm
egg-herbie
Rules
14×fma-def_binary64
sub-neg_binary64
+-commutative_binary64
fma-neg_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0666
11066
21766
32366
42966
53766
64566
75566
86366
97766
Stop Event
saturated
Counts
147 → 138
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)

eval383.0ms (2.6%)

Compiler

Compiled 12168 to 6461 computations (46.9% saved)

prune148.0ms (1%)

Pruning

38 alts after pruning (29 fresh and 9 done)

PrunedKeptTotal
New5589567
Fresh32023
Picked101
Done1910
Total56338601
Error
0.3b
Counts
601 → 38
Alt Table
Click to see full alt table
StatusErrorProgram
29.1b
(*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (pow.f64 (pow.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)) 1/4) 2)) b)) (/.f64 -1/2 a))
45.0b
(/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a)
40.3b
(/.f64 (neg.f64 c) b)
45.0b
(*.f64 (*.f64 (*.f64 (/.f64 a b) c) 2) (/.f64 -1/2 a))
34.0b
(*.f64 (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 3/2)) (/.f64 -1/2 a))
45.1b
(/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)
43.8b
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
45.4b
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
54.8b
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) (*.f64 2 a))
47.9b
(/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4)))) (*.f64 (*.f64 a 2) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
32.3b
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
43.9b
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a))
32.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
54.0b
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
45.2b
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a))
45.6b
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
43.8b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)) (*.f64 2 a))
50.2b
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))))
44.7b
(neg.f64 (/.f64 b a))
45.2b
(*.f64 (-.f64 (*.f64 c (/.f64 a b)) b) (/.f64 1 a))
29.3b
(*.f64 (-.f64 b (hypot.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a))
62.3b
(*.f64 (/.f64 1/2 a) (*.f64 b 2))
44.5b
(/.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a))
42.5b
(+.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))
52.3b
(*.f64 (-.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b) a))) b) (/.f64 1 a))
54.3b
(/.f64 c b)
34.8b
(*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)) 3/2))) b)) (/.f64 -1/2 a))
51.0b
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b)))
45.0b
(*.f64 (/.f64 (*.f64 a (*.f64 c 2)) b) (/.f64 -1/2 a))
44.8b
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
29.1b
(*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a))
45.2b
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b) (/.f64 1 a))
29.3b
(*.f64 (-.f64 b (hypot.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a))) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a))
62.3b
(/.f64 b a)
50.2b
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b))))
45.0b
(-.f64 (/.f64 c b) (/.f64 b a))
43.8b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
62.3b
(/.f64 1/2 (/.f64 a (*.f64 b 2)))
Compiler

Compiled 634 to 438 computations (30.9% saved)

regimes895.0ms (6%)

Counts
64 → 4
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 c b)
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 1/2 (/.f64 a (*.f64 b 2)))
(*.f64 (/.f64 1/2 a) (*.f64 b 2))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)
(*.f64 (-.f64 (*.f64 c (/.f64 a b)) b) (/.f64 1 a))
(*.f64 (*.f64 (*.f64 (/.f64 a b) c) 2) (/.f64 -1/2 a))
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a))
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a)
(/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a)
(/.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a))
(*.f64 (/.f64 (*.f64 a (*.f64 c 2)) b) (/.f64 -1/2 a))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a))
(/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a))
(+.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (*.f64 2 c) b) a) b)) (*.f64 2 a))
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b)))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(*.f64 (-.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b) a))) b) (/.f64 1 a))
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b) (/.f64 1 a))
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
(/.f64 (*.f64 2 (-.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b) a))) b)) (*.f64 2 a))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)) (*.f64 2 a))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b))))
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))))
(pow.f64 (/.f64 (+.f64 a a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) -1)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (cbrt.f64 a)))
(*.f64 (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 3/2)) (/.f64 -1/2 a))
(*.f64 (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 3/2)) (/.f64 -1/2 a))
(*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
(*.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)) (*.f64 2 a))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4)))) (*.f64 (*.f64 a 2) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 2) (*.f64 2 a))
(*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a))
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) (*.f64 2 a))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (sqrt.f64 (+.f64 a a))))
(*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)) 3/2))) b)) (/.f64 -1/2 a))
(*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (pow.f64 (pow.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)) 1/4) 2)) b)) (/.f64 -1/2 a))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 c -4)) (*.f64 b b)))) (/.f64 -1/2 a))
(*.f64 (-.f64 b (hypot.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a))
(*.f64 (-.f64 b (hypot.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a))) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))
Outputs
(neg.f64 (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a))
(/.f64 (neg.f64 c) b)
Calls

4 calls:

361.0ms
c
235.0ms
a
179.0ms
b
92.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Results
ErrorSegmentsBranch
25.1b5a
6.2b4b
22.9b9c
12.6b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 963 to 530 computations (45% saved)

bsearch418.0ms (2.8%)

Algorithm
binary-search
Steps
TimeLeftRight
336.0ms
2.9167037391392693e-72
2.9552995508575954e-64
34.0ms
-2.381062256307992e-206
-3.0827094364985755e-207
47.0ms
-5.4906382504813316e+104
-8.798036300051321e+102
Compiler

Compiled 757 to 535 computations (29.3% saved)

regimes775.0ms (5.2%)

Counts
55 → 3
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 c b)
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 1/2 (/.f64 a (*.f64 b 2)))
(*.f64 (/.f64 1/2 a) (*.f64 b 2))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)
(*.f64 (-.f64 (*.f64 c (/.f64 a b)) b) (/.f64 1 a))
(*.f64 (*.f64 (*.f64 (/.f64 a b) c) 2) (/.f64 -1/2 a))
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a))
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a)
(/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a)
(/.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a))
(*.f64 (/.f64 (*.f64 a (*.f64 c 2)) b) (/.f64 -1/2 a))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a))
(/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a))
(+.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (*.f64 2 c) b) a) b)) (*.f64 2 a))
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b)))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(*.f64 (-.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b) a))) b) (/.f64 1 a))
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b) (/.f64 1 a))
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
(/.f64 (*.f64 2 (-.f64 (exp.f64 (log.f64 (*.f64 (/.f64 c b) a))) b)) (*.f64 2 a))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (*.f64 2 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) a)) 3) b)) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)) (*.f64 2 a))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)) b))))
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))))
(pow.f64 (/.f64 (+.f64 a a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) -1)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (cbrt.f64 a)))
(*.f64 (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 3/2)) (/.f64 -1/2 a))
(*.f64 (-.f64 b (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 3/2)) (/.f64 -1/2 a))
(*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
(*.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)) (*.f64 2 a))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4)))) (*.f64 (*.f64 a 2) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 2) (*.f64 2 a))
Outputs
(neg.f64 (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (neg.f64 c) b)
Calls

4 calls:

333.0ms
c
217.0ms
a
129.0ms
b
76.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Results
ErrorSegmentsBranch
26.4b7a
7.6b3b
26.3b9c
12.6b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 758 to 407 computations (46.3% saved)

bsearch206.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
159.0ms
2.9167037391392693e-72
2.9552995508575954e-64
46.0ms
-5.4906382504813316e+104
-8.798036300051321e+102
Compiler

Compiled 490 to 355 computations (27.6% saved)

regimes311.0ms (2.1%)

Counts
31 → 3
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 c b)
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 1/2 (/.f64 a (*.f64 b 2)))
(*.f64 (/.f64 1/2 a) (*.f64 b 2))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)
(*.f64 (-.f64 (*.f64 c (/.f64 a b)) b) (/.f64 1 a))
(*.f64 (*.f64 (*.f64 (/.f64 a b) c) 2) (/.f64 -1/2 a))
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a))
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a)
(/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a)
(/.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a))
(*.f64 (/.f64 (*.f64 a (*.f64 c 2)) b) (/.f64 -1/2 a))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a))
(/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a))
(+.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (*.f64 2 c) b) a) b)) (*.f64 2 a))
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b)))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
Outputs
(neg.f64 (/.f64 b a))
(*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

126.0ms
c
115.0ms
a
60.0ms
b
Results
ErrorSegmentsBranch
26.7b7a
7.9b3b
26.6b9c
Compiler

Compiled 322 to 165 computations (48.8% saved)

bsearch249.0ms (1.7%)

Algorithm
binary-search
Steps
TimeLeftRight
168.0ms
2.9167037391392693e-72
2.9552995508575954e-64
80.0ms
-3.5132776694176266e+65
-9.192227780461623e+60
Compiler

Compiled 502 to 359 computations (28.5% saved)

regimes345.0ms (2.3%)

Counts
30 → 3
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 c b)
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 1/2 (/.f64 a (*.f64 b 2)))
(*.f64 (/.f64 1/2 a) (*.f64 b 2))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)
(*.f64 (-.f64 (*.f64 c (/.f64 a b)) b) (/.f64 1 a))
(*.f64 (*.f64 (*.f64 (/.f64 a b) c) 2) (/.f64 -1/2 a))
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a))
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a)
(/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a)
(/.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a))
(*.f64 (/.f64 (*.f64 a (*.f64 c 2)) b) (/.f64 -1/2 a))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a))
(/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a))
(+.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (*.f64 2 c) b) a) b)) (*.f64 2 a))
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b)))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (/.f64 c (/.f64 b a)) b)) (*.f64 2 a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

141.0ms
c
134.0ms
a
60.0ms
b
Results
ErrorSegmentsBranch
29.1b9a
11.1b3b
30.0b10c
Compiler

Compiled 306 to 156 computations (49% saved)

bsearch184.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
163.0ms
2.9167037391392693e-72
2.9552995508575954e-64
21.0ms
-5.634001981993939e-64
-4.97073790580567e-64
Compiler

Compiled 307 to 230 computations (25.1% saved)

regimes327.0ms (2.2%)

Counts
28 → 3
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 c b)
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 1/2 (/.f64 a (*.f64 b 2)))
(*.f64 (/.f64 1/2 a) (*.f64 b 2))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(/.f64 (-.f64 (*.f64 (/.f64 c b) a) b) a)
(*.f64 (-.f64 (*.f64 c (/.f64 a b)) b) (/.f64 1 a))
(*.f64 (*.f64 (*.f64 (/.f64 a b) c) 2) (/.f64 -1/2 a))
(*.f64 (-.f64 (*.f64 (/.f64 c b) a) b) (/.f64 1 a))
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a)
(/.f64 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) -1/2)) a)
(/.f64 (*.f64 (*.f64 2 (*.f64 c a)) -1/2) (*.f64 b a))
(*.f64 (/.f64 (*.f64 a (*.f64 c 2)) b) (/.f64 -1/2 a))
(*.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (/.f64 -1/2 a))
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(/.f64 (*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b)) (*.f64 2 a))
(/.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 2 a))
(+.f64 0 (*.f64 (/.f64 2 b) (*.f64 (*.f64 c a) (/.f64 -1/2 a))))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (*.f64 2 c) b) a) b)) (*.f64 2 a))
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b)))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

135.0ms
c
129.0ms
a
53.0ms
b
Results
ErrorSegmentsBranch
29.2b9a
11.2b3b
30.1b10c
Compiler

Compiled 278 to 141 computations (49.3% saved)

bsearch167.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
145.0ms
2.9167037391392693e-72
2.9552995508575954e-64
22.0ms
-5.634001981993939e-64
-4.97073790580567e-64
Compiler

Compiled 296 to 219 computations (26% saved)

regimes206.0ms (1.4%)

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

3 calls:

111.0ms
c
61.0ms
a
26.0ms
b
Results
ErrorSegmentsBranch
35.6b4a
22.4b2b
33.9b9c
Compiler

Compiled 266 to 133 computations (50% saved)

bsearch59.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
59.0ms
3.096307003430907e-277
1.0182515031231161e-271
Compiler

Compiled 170 to 127 computations (25.3% saved)

regimes32.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 c b)
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
Outputs
(/.f64 (neg.f64 c) b)
Calls

3 calls:

10.0ms
a
10.0ms
c
9.0ms
b
Results
ErrorSegmentsBranch
40.3b1a
40.3b1b
40.3b1c
Compiler

Compiled 32 to 16 computations (50% saved)

regimes26.0ms (0.2%)

Accuracy

Total -8.8b remaining (-16.3%)

Threshold costs -8.8b (-16.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 c b)
(/.f64 b a)
Outputs
(/.f64 c b)
Calls

3 calls:

8.0ms
a
8.0ms
b
8.0ms
c
Results
ErrorSegmentsBranch
54.3b1a
54.3b1b
54.3b1c
Compiler

Compiled 24 to 14 computations (41.7% saved)

simplify31.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
069304
1106298
2134298
3154298
4163298
5166298
6167298
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (neg.f64 (/.f64 b a)) (if (<=.f64 b -4482274955261683/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (neg.f64 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -9499999999999999875989708498693149500726119967001179789983744) (neg.f64 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b 6187104959557631/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(/.f64 c b)
Outputs
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (neg.f64 (/.f64 b a)) (if (<=.f64 b -4482274955261683/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (/.f64 (neg.f64 b) a) (if (<=.f64 b -4482274955261683/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (/.f64 (neg.f64 b) a) (if (<=.f64 b -4482274955261683/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b) (*.f64 a 2)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (-.f64 b (hypot.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 (cbrt.f64 a) (*.f64 c -4)))) b)) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (neg.f64 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (/.f64 (neg.f64 b) a) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -9000000000000000415099664899441332350249394662843400180740152269272587870207080318178722916000323338240) (/.f64 (neg.f64 b) a) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -9499999999999999875989708498693149500726119967001179789983744) (neg.f64 (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -9499999999999999875989708498693149500726119967001179789983744) (/.f64 (neg.f64 b) a) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (/.f64 -1/2 a) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 93248106826835/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (*.f64 (/.f64 -1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b 6187104959557631/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b))
(if (<=.f64 b 6187104959557631/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(/.f64 c b)
Compiler

Compiled 223 to 146 computations (34.5% saved)

soundness943.0ms (6.3%)

Algorithm
egg-herbie
Rules
978×times-frac_binary64
978×fma-def_binary64
852×fma-def_binary64
852×fma-def_binary64
747×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01842477
15822367
221172202
01526
13422
26922
316122
425722
541522
673022
7132222
8263222
9391422
10578022
11690922
12775122
13783922
01526
13422
26922
316122
425722
541522
673022
7132222
8263222
9391422
10578022
11690922
12775122
13783922
01261936
13861845
213501752
377121752
011576
121576
241576
374576
4110576
5129576
6137576
7158576
8244576
9344576
Stop Event
saturated
node limit
node limit
node limit
node limit
Compiler

Compiled 816 to 578 computations (29.2% saved)

end157.0ms (1%)

Compiler

Compiled 202 to 100 computations (50.5% saved)

Profiling

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