Details

Time bar (total: 19.6s)

analyze358.0ms (1.8%)

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)

sample3.9s (19.9%)

Results
1.5s5527×body256valid
1.0s1177×body2048valid
496.0ms428×body4096valid
388.0ms773×body1024valid
232.0ms1038×body256invalid
116.0ms351×body512valid
103.0ms525×body256infinite
Bogosity

preprocess88.0ms (0.4%)

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)

simplify105.0ms (0.5%)

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
37.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
37.2b
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
37.2b
(/.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)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
1.0b
(fma.f64 b b (*.f64 a (*.f64 c -4)))
1.6b
(-.f64 b (sqrt.f64 (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)

series54.0ms (0.3%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
3.0ms
b
@0
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
3.0ms
c
@-inf
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
2.0ms
a
@inf
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
2.0ms
c
@inf
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
2.0ms
c
@0
(fma.f64 b b (*.f64 a (*.f64 c -4)))

rewrite167.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
675×log-prod_binary64
639×prod-diff_binary64
320×fma-def_binary64
249×expm1-udef_binary64
249×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01362
128159
2365959
Stop Event
node limit
Counts
4 → 218
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
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 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (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 a (*.f64 c -4) (*.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))) (#(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 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))))) (#(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 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 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 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 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 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))))))
((#(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) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 -1 (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 +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (cbrt.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 +.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b 1 (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))) (sqrt.f64 (pow.f64 (cbrt.f64 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simplify125.0ms (0.6%)

Algorithm
egg-herbie
Rules
969×times-frac_binary64
898×fma-def_binary64
822×associate-*l*_binary64
643×associate-/l*_binary64
574×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01842486
15702363
220422204
Stop Event
node limit
Counts
314 → 301
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 -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 (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 1/2 (*.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 (+.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 3)) 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))))))
(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 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 (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 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (/.f64 c (/.f64 b 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))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (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 c (/.f64 b 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)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (*.f64 -2 c) (/.f64 b a))) (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) b))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) b) (*.f64 (/.f64 (*.f64 -4 (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 a 3)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 (*.f64 (*.f64 2 c) a) b) b)
(-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 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)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) b)
(-.f64 (*.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a)))) 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))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (neg.f64 b))))
(-.f64 (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 c (/.f64 b a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))) b)
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (/.f64 c (/.f64 b 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))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
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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 c 4) a) (/.f64 (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)) 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 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) a) (/.f64 (pow.f64 c 4) 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 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (*.f64 a b)) (pow.f64 c 4)) (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))

localize56.0ms (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))
0.8b
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
1.6b
(+.f64 (neg.f64 b) (sqrt.f64 (-.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)

series39.0ms (0.2%)

Counts
4 → 96
Calls

36 calls:

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

rewrite194.0ms (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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
(-.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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (*.f64 (pow.f64 (*.f64 a c) 3) 64))) (sqrt.f64 (fma.f64 (*.f64 4 (*.f64 a c)) (fma.f64 b b (*.f64 4 (*.f64 a c))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 a c) 2) 16))) (hypot.f64 b (*.f64 2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 4 (*.f64 a c)))) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2)) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b b (fma.f64 (*.f64 a c) -4 (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 b b (*.f64 b b)) (*.f64 4 (*.f64 a c))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (fma.f64 b b (fma.f64 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(2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))) (neg.f64 (fma.f64 b b (fma.f64 b b (fma.f64 (*.f64 a c) -4 (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (fma.f64 b b (*.f64 b b)) (*.f64 4 (*.f64 a c)))) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b -1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 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((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2)) 1) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 1) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2)) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 2)) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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 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))))))

simplify131.0ms (0.7%)

Algorithm
egg-herbie
Rules
978×times-frac_binary64
978×fma-def_binary64
644×associate-/l*_binary64
579×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 (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 -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 1/2 (*.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))))))
(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 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 (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 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) 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 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c 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)
(+.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)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b)
(-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) 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)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)))) b)
(-.f64 (*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))) 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))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 2 (*.f64 (/.f64 c b) a) (-.f64 (fma.f64 2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))) b))
(fma.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (-.f64 (*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))) b))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) 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 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c 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)
(+.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)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) 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 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c 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)
(+.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)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
(+.f64 (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) b) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 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))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b))
(-.f64 (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))) 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 (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)))))))
(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) (fma.f64 -1 b (*.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 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b)))
(-.f64 (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 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 -2 (/.f64 b (*.f64 c a)))
(+.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 -2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a))))
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))))
(*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)))
(+.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))))
(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))) (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))))
(fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c))))
(+.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)))))
(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 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))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(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 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a))))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 -4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (*.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 a b) c)))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.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)))
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(-.f64 (/.f64 (neg.f64 c) b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (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 (pow.f64 c 3) (/.f64 (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 c (/.f64 (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 (*.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))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.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)))) (*.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 (pow.f64 c 3) (/.f64 (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 c (/.f64 (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 c (/.f64 (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 (pow.f64 c 3) (/.f64 (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 c (/.f64 (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 c (/.f64 (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 (pow.f64 c 3) (/.f64 (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 c (/.f64 (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 -1/4 (*.f64 (/.f64 (pow.f64 a 3) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 a 3) b) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20)) (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3))))) (fma.f64 (/.f64 c (/.f64 (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 c (/.f64 (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 (pow.f64 c 3) (/.f64 (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 c (/.f64 (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) a) (/.f64 (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)) 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) (*.f64 a b)) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (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 a 4) (pow.f64 b 6)) 20) (/.f64 a (/.f64 (pow.f64 c 4) b))) (-.f64 (*.f64 (/.f64 -2 (pow.f64 b 5)) (*.f64 a (*.f64 a (pow.f64 c 3)))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))))

eval636.0ms (3.3%)

Compiler

Compiled 20648 to 12271 computations (40.6% saved)

prune178.0ms (0.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New69521716
Fresh000
Picked101
Done101
Total69721718
Error
6.3b
Counts
718 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
45.8b
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
38.2b
(*.f64 (-.f64 b (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
42.3b
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
44.8b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
44.8b
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
41.9b
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
47.9b
(exp.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))
49.3b
(-.f64 (/.f64 c b) (/.f64 b a))
46.9b
(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (*.f64 2 a))
44.0b
(*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
50.7b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
49.1b
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
55.6b
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
46.6b
(/.f64 (/.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))
33.6b
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
50.8b
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
36.8b
(/.f64 (neg.f64 c) b)
52.8b
(pow.f64 (pow.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 3) 1/3)
48.1b
(*.f64 (-.f64 b (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (pow.f64 (*.f64 a (*.f64 c -4)) 2)) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a))
49.0b
(neg.f64 (/.f64 b a))
44.8b
(/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (*.f64 2 a))
Compiler

Compiled 730 to 506 computations (30.7% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
0.1b
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
1.0b
(-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
13.7b
(sqrt.f64 (*.f64 a (*.f64 c -4)))
Compiler

Compiled 83 to 54 computations (34.9% saved)

series160.0ms (0.8%)

Counts
4 → 36
Calls

33 calls:

TimeVariablePointExpression
33.0ms
c
@inf
(-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
15.0ms
c
@inf
(/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
11.0ms
b
@inf
(/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
10.0ms
c
@inf
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
9.0ms
c
@-inf
(/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))

rewrite199.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
804×log-prod_binary64
593×prod-diff_binary64
277×expm1-udef_binary64
277×log1p-udef_binary64
246×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01569
132466
2424566
Stop Event
node limit
Counts
4 → 215
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a (*.f64 c -4)))
(-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
(/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
Outputs
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simplify134.0ms (0.7%)

Algorithm
egg-herbie
Rules
805×associate-/r*_binary64
677×unswap-sqr_binary64
374×associate-*l/_binary64
346×associate-*r/_binary64
239×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02161792
16671419
227131360
368171353
Stop Event
node limit
Counts
251 → 287
Calls
Call 1
Inputs
(*.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))))
(*.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 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(+.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 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 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (*.f64 -1/4 (/.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 (*.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 1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(+.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 (/.f64 b a))))
(+.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 -1/32 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (pow.f64 b 2))) (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (sqrt.f64 -4)))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))))))
(*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))) (+.f64 (/.f64 a b) (+.f64 (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))) (*.f64 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)) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))))) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/128 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
Outputs
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(*.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 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (neg.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))
(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 (*.f64 c a)) (sqrt.f64 -4)) 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))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.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)))
(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 (*.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) (*.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)))
(fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 (neg.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 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(*.f64 -1/2 (/.f64 c (/.f64 (/.f64 b a) -4)))
(*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -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 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (*.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 b a) -4)) (*.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16)))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -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 -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 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.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) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) (fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 b a) -4)) (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (pow.f64 a 3)) (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -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 (*.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 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (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 (*.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) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) (fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 b a) -4)) (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 c (*.f64 (*.f64 c a) a)) -2) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) (fma.f64 -1/2 (*.f64 (*.f64 (/.f64 c b) -4) a) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (pow.f64 a 3)) (*.f64 (/.f64 1/2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64)))))))
(*.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 b 2 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))))
(fma.f64 b 2 (*.f64 (/.f64 1/2 b) (*.f64 a (*.f64 c -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 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2)))
(+.f64 (fma.f64 b 2 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4))))) (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c a) a)) -2) (pow.f64 b 3)))
(+.f64 (fma.f64 b 2 (*.f64 (/.f64 1/2 b) (*.f64 a (*.f64 c -4)))) (/.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 1/16 (/.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 c c) (*.f64 (*.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 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2))))
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 (*.f64 c a) 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 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))))))
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (pow.f64 a 3)) 1/16 (fma.f64 b 2 (*.f64 (/.f64 1/2 b) (*.f64 a (*.f64 c -4))))))
(*.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)))
(fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(+.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))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/2 (/.f64 b a))))
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(+.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (*.f64 2 (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 c (*.f64 c (pow.f64 a 3))) -1) (fma.f64 1/4 (*.f64 a (*.f64 (*.f64 (*.f64 a (*.f64 a 16)) (*.f64 c -1/8)) c)) (*.f64 (/.f64 1/8 a) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 c c))))) (pow.f64 b 5)) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) 1/2) (pow.f64 b 3)))))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(+.f64 (*.f64 -1 (/.f64 a b)) (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(fma.f64 -1 (/.f64 a b) (*.f64 1/4 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3))))
(-.f64 (*.f64 1/4 (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 -4 (*.f64 a a)))) (/.f64 a b))
(-.f64 (/.f64 (/.f64 (neg.f64 c) b) (/.f64 (/.f64 (*.f64 b b) a) a)) (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))))))
(-.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 16)) (*.f64 1/4 (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 -4 (*.f64 a a))))) (/.f64 a b))
(-.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 16)) (/.f64 (/.f64 (neg.f64 c) b) (/.f64 (/.f64 (*.f64 b b) a) a))) (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 a b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/128 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 a b) (fma.f64 1/4 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -4) 6) (pow.f64 a 4))) 5/128) (pow.f64 b 7)) (*.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))))))))
(-.f64 (fma.f64 1/4 (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 -4 (*.f64 a a))) (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 16))))) (/.f64 a b))
(-.f64 (fma.f64 1/4 (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a (*.f64 a -4))) (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 16))))) (/.f64 a b))

localize11.0ms (0.1%)

Compiler

Compiled 12 to 5 computations (58.3% saved)

localize25.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.4b
(/.f64 -2 (/.f64 b (*.f64 c a)))
4.3b
(/.f64 b (*.f64 c a))
8.2b
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
Compiler

Compiled 37 to 16 computations (56.8% saved)

series33.0ms (0.2%)

Counts
3 → 72
Calls

27 calls:

TimeVariablePointExpression
6.0ms
b
@0
(/.f64 b (*.f64 c a))
2.0ms
a
@0
(/.f64 -2 (/.f64 b (*.f64 c a)))
2.0ms
b
@inf
(/.f64 b (*.f64 c a))
1.0ms
c
@inf
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
1.0ms
c
@0
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))

rewrite88.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
707×log-prod_binary64
399×pow-prod-down_binary64
316×pow2_binary64
254×pow-unpow_binary64
248×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01133
124430
2351730
Stop Event
node limit
Counts
3 → 142
Calls
Call 1
Inputs
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(/.f64 b (*.f64 c a))
(/.f64 -2 (/.f64 b (*.f64 c a)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b (*.f64 c a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (*.f64 c a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (*.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 (/.f64 1 a) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 (/.f64 1 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (*.f64 c a))) (pow.f64 (cbrt.f64 (/.f64 b (*.f64 c a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (*.f64 c a))) 2) (cbrt.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 (/.f64 1 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (*.f64 c a))) (sqrt.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (*.f64 c (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 a) c) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b c) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) c) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 c) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) c) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) -2) (/.f64 b (cbrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (cbrt.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) -1/2) (/.f64 b (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (*.f64 c a))) (/.f64 (cbrt.f64 b) (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (*.f64 c a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (*.f64 c a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (*.f64 c a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (*.f64 c a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 3) (pow.f64 (*.f64 c a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 c (/.f64 b a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (*.f64 c (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (*.f64 c a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (*.f64 c a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (*.f64 c a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 c a) (/.f64 -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (/.f64 c (/.f64 b a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (/.f64 c (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (/.f64 c (/.f64 b a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (/.f64 c (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 c (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c a) (/.f64 -2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (neg.f64 b) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 c a) (/.f64 -2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 2) (cbrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) (sqrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (/.f64 b a)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 b) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (neg.f64 b)) (*.f64 c (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (/.f64 b c)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) c) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) a) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) 1) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (cbrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2 b) (sqrt.f64 (*.f64 c a))) (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b c) (*.f64 -2 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 b c) (*.f64 -2 a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (/.f64 c (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 c a) (/.f64 -2 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c a) (/.f64 -2 b))) 1))))))

simplify39.0ms (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
214 → 146
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)

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
10.8b
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
14.5b
(/.f64 (*.f64 c c) (pow.f64 b 3))
Compiler

Compiled 48 to 20 computations (58.3% saved)

series10.0ms (0%)

Counts
2 → 60
Calls

15 calls:

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

rewrite70.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
541×log-prod_binary64
336×pow-prod-down_binary64
280×prod-diff_binary64
276×pow2_binary64
191×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
122027
2284227
Stop Event
node limit
Counts
2 → 83
Calls
Call 1
Inputs
(/.f64 (*.f64 c c) (pow.f64 b 3))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 c b) (/.f64 a (*.f64 (pow.f64 b 3) (pow.f64 c -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a (*.f64 (pow.f64 b 3) (pow.f64 c -2))) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 a (*.f64 (pow.f64 b 3) (pow.f64 c -2))) 1) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 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(/.f64 c b) 3)) (+.f64 (pow.f64 (/.f64 a (*.f64 (pow.f64 b 3) (pow.f64 c -2))) 2) (-.f64 (pow.f64 (/.f64 c b) 2) (*.f64 (/.f64 a (*.f64 (pow.f64 b 3) (pow.f64 c -2))) (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 a (*.f64 (pow.f64 b 3) (pow.f64 c -2))) 2) (pow.f64 (/.f64 c b) 2)) (-.f64 (/.f64 a (*.f64 (pow.f64 b 3) (pow.f64 c -2))) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 c b)) (pow.f64 (exp.f64 a) (*.f64 c (*.f64 c (pow.f64 b -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 c b))) (pow.f64 (exp.f64 a) (*.f64 c (*.f64 c (pow.f64 b -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) (*.f64 c (*.f64 c (pow.f64 b -3)))) (+.f64 1 (expm1.f64 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c c) (*.f64 (pow.f64 b -3) a) (/.f64 c b))) 1) 1))))))

simplify75.0ms (0.4%)

Algorithm
egg-herbie
Rules
767×associate-/r*_binary64
684×associate-/l/_binary64
634×fma-def_binary64
551×associate-*l/_binary64
513×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013834
129834
281780
3290780
41416780
56423780
67512780
Stop Event
node limit
Counts
143 → 90
Calls
Call 1
Inputs
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
Outputs
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a)
(*.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a)
(*.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a)
(*.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(/.f64 c b)
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a)
(*.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)
(*.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a)
(*.f64 (*.f64 c c) (/.f64 a (pow.f64 b 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))
(*.f64 (/.f64 c b) (fma.f64 a (/.f64 (/.f64 c b) b) 1))
(fma.f64 c (*.f64 c (/.f64 a (pow.f64 b 3))) (/.f64 c b))

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(fma.f64 b b (*.f64 (*.f64 a c) -4))
6.9b
(/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
13.7b
(sqrt.f64 (*.f64 (*.f64 a c) -4))
19.4b
(-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b))
Compiler

Compiled 116 to 53 computations (54.3% saved)

series47.0ms (0.2%)

Counts
4 → 86
Calls

33 calls:

TimeVariablePointExpression
11.0ms
a
@-inf
(/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
5.0ms
c
@inf
(/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
4.0ms
c
@-inf
(/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
4.0ms
a
@inf
(/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
4.0ms
a
@inf
(fma.f64 b b (*.f64 (*.f64 a c) -4))

rewrite112.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
803×log-prod_binary64
567×fma-def_binary64
340×fma-neg_binary64
277×expm1-udef_binary64
277×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01471
131871
2451871
Stop Event
node limit
Counts
4 → 230
Calls
Call 1
Inputs
(-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b))
(sqrt.f64 (*.f64 (*.f64 a c) -4))
(/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
(fma.f64 b b (*.f64 (*.f64 a c) -4))
Outputs
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simplify81.0ms (0.4%)

Algorithm
egg-herbie
Rules
870×times-frac_binary64
641×fma-def_binary64
604×associate-/l*_binary64
465×associate-/r*_binary64
374×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01271410
14011194
216881122
Stop Event
node limit
Counts
316 → 260
Calls
Call 1
Inputs
(*.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))
(*.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 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (*.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (*.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (*.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))) (*.f64 2 (/.f64 1 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 3))))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 -1/32 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))
(+.f64 (*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(+.f64 (*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/2 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 8 (/.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 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.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)))
Outputs
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 -4 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 -4 (sqrt.f64 -4)))
(+.f64 (*.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 -4 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 4 (/.f64 b -4)))
(fma.f64 -4 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (*.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 -1 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) 2) (*.f64 b b)) (*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 4 (/.f64 b -4) (-.f64 (*.f64 -4 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) 2)) (*.f64 b b))))
(fma.f64 -4 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1/2 (sqrt.f64 -4))) (*.f64 b b) (*.f64 -1 b)))
(+.f64 (*.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))) (*.f64 2 (/.f64 1 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 3))))))
(fma.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 -1 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) 2) (*.f64 b b)) (fma.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (neg.f64 (*.f64 (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) 2)) (sqrt.f64 -4)) (/.f64 2 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (pow.f64 b 3))))))
(fma.f64 4 (/.f64 b -4) (-.f64 (-.f64 (*.f64 -4 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) 2)) (*.f64 b b))) (*.f64 (-.f64 (/.f64 2 (*.f64 c (*.f64 a 16))) (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) 2))))) (pow.f64 b 3))))
(-.f64 (fma.f64 -4 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1/2 (sqrt.f64 -4))) (*.f64 b b) (*.f64 -1 b))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (neg.f64 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 (/.f64 1 c) a))) 16)) (/.f64 (/.f64 1/8 a) c)) (pow.f64 b 3)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(*.f64 -2 (*.f64 (/.f64 c b) a))
(*.f64 -2 (*.f64 a (/.f64 c b)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 1/2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))
(fma.f64 -2 (*.f64 a (/.f64 c b)) (/.f64 (*.f64 -2 (*.f64 c (*.f64 c (*.f64 a a)))) (pow.f64 b 3)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 1/2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (fma.f64 -1/4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3)))) (*.f64 -2 (/.f64 c (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 -2 (*.f64 (/.f64 c b) a) (/.f64 (*.f64 -1/4 (*.f64 16 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (pow.f64 b 5))))
(fma.f64 -2 (*.f64 a (/.f64 c b)) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) 16) (/.f64 (*.f64 -2 (*.f64 c (*.f64 c (*.f64 a a)))) (pow.f64 b 3))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 -1/32 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 1/2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (fma.f64 -1 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))) -5/32) (pow.f64 b 7)) (fma.f64 -1/4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3)))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) (/.f64 (*.f64 -1/4 (*.f64 16 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (pow.f64 b 5))) (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 10) (pow.f64 b 7))))
(+.f64 (/.f64 (*.f64 -2 (*.f64 c (*.f64 c (*.f64 a a)))) (pow.f64 b 3)) (fma.f64 -2 (*.f64 a (/.f64 c b)) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) 16) (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) -10) (pow.f64 b 7)))))
(*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))
(/.f64 (*.f64 8 b) (pow.f64 (sqrt.f64 -4) 2))
(*.f64 (/.f64 b -4) 8)
(*.f64 -2 b)
(+.f64 (*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 2 (/.f64 (*.f64 c a) b)))
(fma.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (*.f64 2 (/.f64 c (/.f64 b a))))
(fma.f64 2 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 b -4) 8))
(fma.f64 2 (*.f64 a (/.f64 c b)) (*.f64 -2 b))
(+.f64 (*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(fma.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) -1/2)))
(fma.f64 (/.f64 b -4) 8 (fma.f64 2 (*.f64 (/.f64 c b) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 2) (pow.f64 b 3))))
(+.f64 (fma.f64 2 (*.f64 a (/.f64 c b)) (*.f64 -2 b)) (/.f64 (*.f64 2 (*.f64 c (*.f64 c (*.f64 a a)))) (pow.f64 b 3)))
(+.f64 (*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/2 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 8 (/.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 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))))))
(fma.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 1/4 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) -1/2) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (fma.f64 1/2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (fma.f64 8 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a))) 2)) (*.f64 (*.f64 c a) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))) (fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -1/4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3)))))))))))
(fma.f64 (/.f64 b -4) 8 (fma.f64 2 (*.f64 (/.f64 c b) a) (+.f64 (fma.f64 8 (/.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 c (*.f64 16 (*.f64 (pow.f64 b 5) a)))) (fma.f64 -1/4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 16 (pow.f64 a 3)))) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 4) (pow.f64 b 3)))) (fma.f64 1/4 (*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 2) (pow.f64 b 5)) (*.f64 a (*.f64 -4 c))) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3))))))
(+.f64 (fma.f64 2 (*.f64 a (/.f64 c b)) (*.f64 -2 b)) (fma.f64 1/4 (/.f64 -4 (/.f64 (/.f64 (/.f64 (pow.f64 b 5) (*.f64 c a)) 2) (*.f64 c (*.f64 c (*.f64 a a))))) (+.f64 (/.f64 (*.f64 2 (*.f64 c (*.f64 c (*.f64 a a)))) (pow.f64 b 3)) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) 16) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 (pow.f64 c 4) 1/16) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 (*.f64 c a) (pow.f64 b 5))) 1/2)))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(*.f64 -2 (*.f64 (/.f64 c b) a))
(*.f64 -2 (*.f64 a (/.f64 c b)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(*.f64 -2 (*.f64 (/.f64 c b) a))
(*.f64 -2 (*.f64 a (/.f64 c b)))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 a (*.f64 -4 c))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 b b))
(fma.f64 b b (*.f64 a (*.f64 -4 c)))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))

eval628.0ms (3.2%)

Compiler

Compiled 22137 to 13320 computations (39.8% saved)

prune226.0ms (1.2%)

Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New77310783
Fresh51116
Picked101
Done134
Total78024804
Error
2.9b
Counts
804 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
44.8b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
44.8b
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
37.7b
(neg.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) (/.f64 c b)) a (/.f64 c b)))
41.9b
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
36.5b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
34.0b
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) -1/2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) -1/2)) (cbrt.f64 a)))
42.1b
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
48.1b
(*.f64 (-.f64 b (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (pow.f64 (*.f64 a (*.f64 c -4)) 2)) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a))
44.0b
(*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
50.7b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
33.6b
(/.f64 1 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a))
49.1b
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
36.8b
(/.f64 (neg.f64 c) b)
55.6b
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
49.1b
(/.f64 1 (/.f64 (neg.f64 a) b))
46.6b
(/.f64 (/.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))
33.6b
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
46.9b
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
33.4b
(/.f64 (/.f64 (*.f64 a (*.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (*.f64 2 a))
45.8b
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
50.8b
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
46.9b
(/.f64 1 (cbrt.f64 (pow.f64 (*.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) 3)))
49.3b
(-.f64 (/.f64 c b) (/.f64 b a))
49.0b
(neg.f64 (/.f64 b a))
Compiler

Compiled 796 to 557 computations (30% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))
2.5b
(/.f64 (/.f64 (*.f64 a (*.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (*.f64 2 a))
8.1b
(/.f64 (*.f64 a (*.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
13.7b
(sqrt.f64 (*.f64 (*.f64 a c) -4))
Compiler

Compiled 87 to 48 computations (44.8% saved)

series147.0ms (0.8%)

Counts
3 → 42
Calls

27 calls:

TimeVariablePointExpression
43.0ms
a
@0
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))
41.0ms
a
@inf
(/.f64 (*.f64 a (*.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
13.0ms
c
@inf
(/.f64 (*.f64 a (*.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
7.0ms
c
@-inf
(/.f64 (*.f64 a (*.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
5.0ms
c
@inf
(/.f64 (/.f64 (*.f64 a (*.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (*.f64 2 a))

rewrite105.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
768×prod-diff_binary64
297×expm1-udef_binary64
297×log1p-udef_binary64
267×fma-def_binary64
170×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01669
135769
2489769
Stop Event
node limit
Counts
3 → 150
Calls
Call 1
Inputs
(/.f64 (*.f64 a (*.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
(/.f64 (/.f64 (*.f64 a (*.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (*.f64 2 a))
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))
Outputs
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simplify67.0ms (0.3%)

Algorithm
egg-herbie
Rules
892×associate-/r*_binary64
469×associate-*l/_binary64
426×associate-*r/_binary64
304×associate-*r*_binary64
246×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02321989
17341558
232261474
Stop Event
node limit
Counts
192 → 221
Calls
Call 1
Inputs
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (*.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (*.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 4 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))))))
(+.f64 (*.f64 -4 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))))) (+.f64 (*.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 4 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 4 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/128 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))
(+.f64 (*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -4 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3)))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (*.f64 -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)) (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))) (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 5))) (+.f64 (*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -4 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))))))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))) (pow.f64 b 3))) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/128 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/32 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 c b))
(+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (/.f64 c b) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3)))))
(+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (/.f64 c b) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (+.f64 (*.f64 -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)) (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))))))
(*.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)
Outputs
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(*.f64 -2 (*.f64 (/.f64 c b) a))
(*.f64 (/.f64 (*.f64 c -2) b) a)
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(*.f64 -2 (*.f64 (/.f64 c b) a))
(*.f64 (/.f64 (*.f64 c -2) b) a)
(*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) -4)
(*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 -4 (sqrt.f64 -4)))
(+.f64 (*.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) -4 (*.f64 4 (/.f64 b -4)))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) -4 (*.f64 -1 b))
(+.f64 (*.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 4 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))))))
(fma.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (*.f64 4 (*.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)))))
(fma.f64 4 (/.f64 b -4) (fma.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) -4 (*.f64 4 (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) -1/2))))))
(+.f64 (*.f64 -1 b) (fma.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) -4 (*.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1/8 (sqrt.f64 -4))) 4))))
(+.f64 (*.f64 -4 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))))) (+.f64 (*.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (*.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 4 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))))))
(fma.f64 -4 (*.f64 (pow.f64 b 3) (-.f64 (/.f64 1/2 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2) (sqrt.f64 -4)))))) (fma.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 -4 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (*.f64 4 (*.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2))))))
(fma.f64 -4 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1/2 (*.f64 c (*.f64 a 16))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 -1/4 (sqrt.f64 -4))) (/.f64 (sqrt.f64 -4) -1/2))))) (fma.f64 4 (/.f64 b -4) (fma.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) -4 (*.f64 4 (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) -1/2)))))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) -4 (*.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1/8 (sqrt.f64 -4))) 4))) (fma.f64 (*.f64 -4 (pow.f64 b 3)) (+.f64 (/.f64 1/32 (*.f64 c a)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) -1/2) 16))) (*.f64 -1 b)))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(*.f64 -2 (*.f64 (/.f64 c b) a))
(*.f64 (/.f64 (*.f64 c -2) b) a)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) (pow.f64 b 3)) (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3)))) (*.f64 -2 (/.f64 c (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 -2 (*.f64 (/.f64 c b) a) (*.f64 -1/4 (/.f64 (*.f64 16 (pow.f64 a 3)) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))))
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(+.f64 (fma.f64 4 (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2)) (/.f64 c b)) (*.f64 -2 (+.f64 (/.f64 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4)) (fma.f64 -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 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) 2)) (*.f64 (*.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 4))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 2)) 1/8))))))) (pow.f64 b 5)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 2)) 1/8) (pow.f64 b 3)))))
(+.f64 (*.f64 -1 (/.f64 b a)) (fma.f64 -2 (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c a)) -1/2) (pow.f64 b 3)) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) 1) (fma.f64 -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)) (*.f64 (*.f64 a a) (*.f64 16 c))) (*.f64 c (*.f64 (*.f64 a (*.f64 (*.f64 (*.f64 (*.f64 c c) -4) a) -1/2)) 1/4)))) (pow.f64 b 5))) (/.f64 c b)))
(+.f64 (neg.f64 (/.f64 b a)) (fma.f64 -2 (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c a)) -1/2) (pow.f64 b 3)) (/.f64 (+.f64 (fma.f64 1/4 (*.f64 a (*.f64 c (*.f64 -4 (*.f64 (*.f64 c (*.f64 c a)) -1/2)))) (*.f64 (/.f64 -1/8 (*.f64 a a)) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 (pow.f64 c 4) 1/16) (*.f64 (pow.f64 c 4) 1/64))) c))) (*.f64 (*.f64 a a) (pow.f64 c 3))) (pow.f64 b 5))) (/.f64 c b)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) 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 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.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) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) 1/2)))
(+.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)))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2))) (fma.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4)) b))
(fma.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 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 c) a)) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) 1/2))))
(*.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 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2))) (*.f64 b 2))
(fma.f64 b 2 (/.f64 (*.f64 1/2 c) (/.f64 (/.f64 b -4) a)))
(fma.f64 b 2 (*.f64 (/.f64 1/2 b) (*.f64 a (*.f64 c -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 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) (fma.f64 1/2 (/.f64 c (/.f64 (/.f64 b 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 b 2 (/.f64 (*.f64 1/2 c) (/.f64 (/.f64 b -4) a))))
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 b 2 (*.f64 (/.f64 1/2 b) (*.f64 a (*.f64 c -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 1/16 (/.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 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) (fma.f64 1/16 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 c (/.f64 (/.f64 b 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 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (fma.f64 b 2 (/.f64 (*.f64 1/2 c) (/.f64 (/.f64 b -4) a)))))
(+.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 b 2 (*.f64 (/.f64 1/2 b) (*.f64 a (*.f64 c -4))))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(*.f64 (/.f64 c (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2))) -1/2)
(/.f64 (*.f64 (*.f64 a (*.f64 c -4)) -1/2) b)
(*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -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 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) (*.f64 (/.f64 c (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2))) -1/2))
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) 16) (*.f64 a a)) (pow.f64 b 3)) 1/8))
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (/.f64 (*.f64 (*.f64 (*.f64 c c) 16) (*.f64 a a)) (/.f64 (pow.f64 b 3) 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 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) (fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) -1/16)))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) 16) (*.f64 a a)) (pow.f64 b 3)) 1/8 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) -1/16)))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) 16) (*.f64 a a)) (pow.f64 b 3)) 1/8 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (*.f64 (/.f64 -1/16 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (*.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 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) (fma.f64 -1/2 (/.f64 c (/.f64 (/.f64 b a) (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) (*.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 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) 2)) (pow.f64 b 7))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) 16) (*.f64 a a)) (pow.f64 b 3)) 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 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) -1/16))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) 16) (*.f64 a a)) (pow.f64 b 3)) 1/8 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 (pow.f64 c 4) 1/16) (*.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (*.f64 (/.f64 -1/16 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) -64))))))
(*.f64 2 b)
(*.f64 b 2)
(*.f64 2 b)
(*.f64 b 2)

localize6.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
Compiler

Compiled 29 to 9 computations (69% saved)

series7.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
a
@inf
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
1.0ms
a
@0
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
1.0ms
b
@0
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
1.0ms
b
@inf
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
1.0ms
b
@-inf
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))

rewrite60.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
535×log-prod_binary64
369×pow-prod-down_binary64
313×fma-def_binary64
279×pow2_binary64
211×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
120313
2308213
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 b c) 3))) (fma.f64 (/.f64 b c) (+.f64 (/.f64 a b) (/.f64 b c)) (pow.f64 (/.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 a b) 2) (pow.f64 (/.f64 b c) 2))) (+.f64 (/.f64 a b) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 2))))))

simplify57.0ms (0.3%)

Algorithm
egg-herbie
Rules
730×associate-*l/_binary64
699×associate-/r/_binary64
517×unswap-sqr_binary64
493×associate-*r/_binary64
343×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0491091
11511067
25761027
333251023
Stop Event
node limit
Counts
73 → 52
Calls
Call 1
Inputs
(*.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 -1 (/.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 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(*.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 -1 (/.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 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.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 -1 (/.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 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.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 -1 (/.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 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
Outputs
(*.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 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.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) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a 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 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.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 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(*.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 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.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) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a 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 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.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 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7)))))
(*.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 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.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) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a 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 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.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 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7)))))
(*.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 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.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) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a 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 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1 (/.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 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 c 3) (*.f64 a a))) (pow.f64 b 5)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3) (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))
(-.f64 (*.f64 c (-.f64 (/.f64 -1 b) (*.f64 (/.f64 c (pow.f64 b 3)) a))) (*.f64 (*.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (/.f64 (*.f64 a (pow.f64 c 4)) (pow.f64 b 7)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))) (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))

localize43.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
13.7b
(sqrt.f64 (*.f64 c (*.f64 a -4)))
Compiler

Compiled 49 to 30 computations (38.8% saved)

series20.0ms (0.1%)

Counts
2 → 14
Calls

15 calls:

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

rewrite100.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
680×log-prod_binary64
387×fma-def_binary64
334×pow2_binary64
247×pow-unpow_binary64
234×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01329
128427
2396827
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 c (*.f64 a -4)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 c -4) a)) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) (cbrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) (pow.f64 (*.f64 (*.f64 c -4) a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 c -4) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c -4) a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c -4) a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 2) (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 1/2) (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1) (*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) a) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) a) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 1) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 1))))))

simplify26.0ms (0.1%)

Algorithm
egg-herbie
Rules
10×fma-def_binary64
*-commutative_binary64
associate-*r*_binary64
associate-*l*_binary64
associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015231
124231
239231
349231
451231
552231
Stop Event
saturated
Counts
88 → 80
Calls
Call 1
Inputs
(*.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 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
Outputs
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 (*.f64 -1/2 b) a))
(fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (/.f64 -1/2 (/.f64 a b)))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))

localize78.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
0.2b
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)
1.6b
(-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)))
32.7b
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))
Compiler

Compiled 77 to 42 computations (45.5% saved)

series53.0ms (0.3%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
5.0ms
a
@-inf
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)
3.0ms
b
@0
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)
3.0ms
b
@inf
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)
3.0ms
c
@inf
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))
3.0ms
c
@inf
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)

rewrite173.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
702×prod-diff_binary64
688×log-prod_binary64
313×fma-def_binary64
271×expm1-udef_binary64
271×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01574
132565
2410062
Stop Event
node limit
Counts
4 → 207
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))
(-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)))
(pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)
(*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
Outputs
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(sqrt.f64 (*.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a))))))) (#(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 -1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 -1/2 a) (*.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 a) b (*.f64 (/.f64 -1/2 a) (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))))

simplify183.0ms (0.9%)

Algorithm
egg-herbie
Rules
452×fma-def_binary64
371×distribute-rgt-in_binary64
366×distribute-lft-in_binary64
342×distribute-rgt-out_binary64
306×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04084188
113253872
253003510
Stop Event
node limit
Counts
303 → 345
Calls
Call 1
Inputs
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 (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))))
(*.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))))))
(pow.f64 b 3)
(+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (+.f64 (*.f64 18 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 b 3))) (+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b)))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (+.f64 (*.f64 18 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 b 3))) (+.f64 (pow.f64 b 3) (+.f64 (*.f64 -6 (*.f64 c (*.f64 a b))) (*.f64 (pow.f64 a 3) (*.f64 (+.f64 (*.f64 72 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 -36 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -32 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) (pow.f64 b 3))))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -9/1024 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 9/512 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 -1/128 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))) (pow.f64 a 3)) (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b 2)) (*.f64 c a))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))))
(+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 -9/512 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 9/1024 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 3))) (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)))))
(pow.f64 b 3)
(+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b))))
(+.f64 (pow.f64 b 3) (+.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 b 3) (+.f64 (*.f64 18 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))))) (*.f64 -6 (*.f64 c (*.f64 a b)))))
(+.f64 (*.f64 (+.f64 (*.f64 -36 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (*.f64 -32 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 72 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) (*.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (pow.f64 b 3) (+.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 b 3) (+.f64 (*.f64 18 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -12 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))))) (*.f64 -6 (*.f64 c (*.f64 a b))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)) (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a)))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (*.f64 9/512 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -9/1024 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)) (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))) (/.f64 (*.f64 (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (*.f64 -3/8 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -9/512 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 9/1024 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 3))) (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (*.f64 9/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -3/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64)) (*.f64 -3/8 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -64) (pow.f64 b 2)))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64)) (+.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -64) (pow.f64 b 4)))) (*.f64 -3/8 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -64) (pow.f64 b 2))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (sqrt.f64 -64)) (+.f64 (*.f64 3/128 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (sqrt.f64 -64) (pow.f64 b 4)))) (+.f64 (*.f64 -3/8 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -64) (pow.f64 b 2)))) (*.f64 1/1024 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (sqrt.f64 -64) (pow.f64 b 6)))))))
(pow.f64 b 3)
(+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b))))
(+.f64 (*.f64 18 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (*.f64 -12 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b))))))
(+.f64 (*.f64 72 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (*.f64 18 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (*.f64 -12 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) b)) (+.f64 (*.f64 -36 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3))) (+.f64 (pow.f64 b 3) (+.f64 (*.f64 -6 (*.f64 c (*.f64 a b))) (*.f64 -32 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 3)))))))))
(*.f64 -1 (pow.f64 b 3))
(+.f64 (*.f64 6 (*.f64 c (*.f64 a b))) (*.f64 -1 (pow.f64 b 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -12 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 18 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) b)) (+.f64 (*.f64 6 (*.f64 c (*.f64 a b))) (*.f64 -1 (pow.f64 b 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -12 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 18 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) b)) (+.f64 (*.f64 6 (*.f64 c (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -32 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 -36 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 72 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 3))) (*.f64 -1 (pow.f64 b 3)))))
(*.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 (+.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 3)) 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
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) 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))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) 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)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) 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))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) 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)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(*.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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.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 (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 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.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 1/16 (*.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 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (/.f64 (/.f64 (pow.f64 b 4) -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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a))))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) 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))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) 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)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (*.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(fma.f64 (*.f64 (/.f64 c b) a) 2 (neg.f64 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)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)))) 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))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 (*.f64 (/.f64 c b) a) 2 (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4 (fma.f64 2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (neg.f64 b))))
(-.f64 (fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))) (*.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4)) b)
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(*.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 (*.f64 c a)) (sqrt.f64 -4)) b)
(-.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.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 (*.f64 c a)) (sqrt.f64 -4)) b))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) -1/2 (-.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
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(+.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)))))))
(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 -1/2 (/.f64 b a) (*.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)))))))))
(fma.f64 1/4 (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (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 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (*.f64 (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4)) -1/16)))))
(*.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 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(+.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 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(+.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))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.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)))) (*.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 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(-.f64 (fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (*.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 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.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) (neg.f64 (/.f64 b a))))
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) 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 (*.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))) (neg.f64 (/.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 (/.f64 c (/.f64 (pow.f64 b 3) c)) 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 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(+.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 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(+.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 (+.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 3)) 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 (+.f64 (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2) (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))) (/.f64 b (pow.f64 a 3))) (*.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 -1/4 (/.f64 b (*.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)))))))) (/.f64 c b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 -1/4 (/.f64 b (*.f64 (pow.f64 a 3) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20))))) (+.f64 (/.f64 c b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) 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 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(+.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 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(+.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) a) (/.f64 (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)) 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 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) b)) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))

eval989.0ms (5.1%)

Compiler

Compiled 21521 to 13936 computations (35.2% saved)

prune231.0ms (1.2%)

Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New71117728
Fresh9716
Picked101
Done347
Total72428752
Error
0.1b
Counts
752 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
61.7b
(*.f64 (-.f64 b (cbrt.f64 (+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b)))))) (/.f64 -1/2 a))
44.9b
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
38.7b
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
36.9b
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
41.9b
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
36.5b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
45.9b
(*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))
32.4b
(*.f64 (/.f64 (*.f64 a c) (*.f64 a 2)) (/.f64 -4 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))
45.9b
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
50.9b
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
50.8b
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3))
49.0b
(neg.f64 (/.f64 b a))
46.9b
(*.f64 (-.f64 b (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
49.3b
(-.f64 (/.f64 c b) (/.f64 b a))
50.7b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
33.6b
(/.f64 1 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a))
49.1b
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
36.8b
(/.f64 (neg.f64 c) b)
44.9b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
49.1b
(/.f64 1 (/.f64 (neg.f64 a) b))
45.6b
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
62.3b
(/.f64 b a)
46.9b
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
46.5b
(pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) 2)
50.8b
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
42.1b
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
49.1b
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a))
50.7b
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
Compiler

Compiled 804 to 582 computations (27.6% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 (*.f64 a c) (*.f64 a 2)) (/.f64 -4 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))
0.6b
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))))
13.7b
(sqrt.f64 (*.f64 a (*.f64 -4 c)))
14.6b
(/.f64 (*.f64 a c) (*.f64 a 2))
Compiler

Compiled 85 to 51 computations (40% saved)

series19.0ms (0.1%)

Counts
4 → 52
Calls

30 calls:

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

rewrite111.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
751×prod-diff_binary64
317×expm1-udef_binary64
317×log1p-udef_binary64
271×fma-def_binary64
183×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01664
136052
2527452
Stop Event
node limit
Counts
4 → 191
Calls
Call 1
Inputs
(/.f64 (*.f64 a c) (*.f64 a 2))
(sqrt.f64 (*.f64 a (*.f64 -4 c)))
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a 2)) (/.f64 -4 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))
Outputs
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simplify113.0ms (0.6%)

Algorithm
egg-herbie
Rules
814×associate-/l*_binary64
733×fma-def_binary64
624×associate-/r*_binary64
533×*-commutative_binary64
389×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01641357
15001083
220931026
375131020
Stop Event
node limit
Counts
243 → 239
Calls
Call 1
Inputs
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.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 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))) (pow.f64 b 3))) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/128 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/32 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 c b))
(+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (/.f64 c b) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3)))))
(+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (/.f64 c b) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (+.f64 (*.f64 -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)) (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))))))
Outputs
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 1/2 c)
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.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)
(+.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 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a))))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (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 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) b)) b)))
(*.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 1/2 (*.f64 -4 (/.f64 c (/.f64 b a))) (*.f64 b 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 1/2 (/.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 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))
(fma.f64 1/2 (*.f64 -4 (/.f64 c (/.f64 b a))) (fma.f64 b 2 (/.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 c (*.f64 c (*.f64 a 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 c 3) -64) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 1/2 (*.f64 -4 (/.f64 c (/.f64 b a))) (fma.f64 b 2 (/.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 (*.f64 a -4) -1/2) (/.f64 b c))
(+.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 c) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) 16)) 1/8))
(fma.f64 (*.f64 -4 (/.f64 c (/.f64 b a))) -1/2 (*.f64 (/.f64 (*.f64 (*.f64 c c) 16) (/.f64 (pow.f64 b 3) (*.f64 a a))) 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 -1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (pow.f64 b 5))))
(fma.f64 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) 16)) 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 -4 (/.f64 c (/.f64 b a))) -1/2 (fma.f64 (/.f64 (*.f64 (*.f64 c c) 16) (/.f64 (pow.f64 b 3) (*.f64 a a))) 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) -64) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) -1/16)))
(+.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 (*.f64 1/2 (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 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) 16)) 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 c (*.f64 c (*.f64 a 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 -4 (/.f64 c (/.f64 b a))) -1/2 (fma.f64 (/.f64 (*.f64 (*.f64 c c) 16) (/.f64 (pow.f64 b 3) (*.f64 a a))) 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 c 3) -64) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) -1/16))))
(*.f64 2 b)
(*.f64 b 2)
(*.f64 2 b)
(*.f64 b 2)
(*.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 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 2 (*.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (fma.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 2 (*.f64 b (*.f64 b (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) -1/2)))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 2 (*.f64 b (*.f64 b (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1/8 (sqrt.f64 -4))))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))))
(+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))) (pow.f64 b 3))) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))))
(fma.f64 -2 (*.f64 (pow.f64 b 3) (-.f64 (/.f64 1/2 (*.f64 c (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2) (sqrt.f64 -4)))))) (fma.f64 2 (*.f64 (*.f64 b b) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (fma.f64 2 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -2 (*.f64 (sqrt.f64 (/.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))))
(fma.f64 -2 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1/2 (*.f64 c (*.f64 a (*.f64 a 16)))) (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (sqrt.f64 -4) (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) -1/2)))))) (fma.f64 2 (*.f64 b (*.f64 b (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) -1/2)))) (fma.f64 -2 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))))
(fma.f64 2 (fma.f64 b (*.f64 b (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1/8 (sqrt.f64 -4)))) (/.f64 b (*.f64 a -4))) (*.f64 -2 (+.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 (pow.f64 b 3) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) 16) (/.f64 1/32 (*.f64 c (*.f64 a a))))))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))
(fma.f64 -1 (/.f64 c b) (*.f64 1/4 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c a)) -1) (pow.f64 b 3)) (/.f64 c b))
(-.f64 (/.f64 (*.f64 -1 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) (/.f64 c b))
(-.f64 (/.f64 (neg.f64 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 c b) (fma.f64 1/4 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(-.f64 (fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a 16))) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) -1) (pow.f64 b 3))) (/.f64 c b))
(-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a 16)))) (/.f64 (*.f64 -1 (*.f64 a (*.f64 c c))) (pow.f64 b 3))) (/.f64 c b))
(-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a 16)))) (/.f64 (neg.f64 (*.f64 a (*.f64 c c))) (pow.f64 b 3))) (/.f64 c b))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/128 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/32 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(fma.f64 2 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 c 4)) 5/128) (pow.f64 b 7)) (fma.f64 -1 (/.f64 c b) (fma.f64 1/4 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) -5/2) (pow.f64 b 7)) (-.f64 (fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a 16))) (/.f64 (*.f64 (*.f64 c (*.f64 c a)) -1) (pow.f64 b 3))) (/.f64 c b)))
(fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) -5/2) (pow.f64 b 7)) (-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a 16)))) (/.f64 (*.f64 -1 (*.f64 a (*.f64 c c))) (pow.f64 b 3))) (/.f64 c b)))
(fma.f64 (/.f64 2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) -5/2) (-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a 16)))) (/.f64 (neg.f64 (*.f64 a (*.f64 c c))) (pow.f64 b 3))) (/.f64 c b)))
(*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 c b))
(fma.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (/.f64 c b))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(fma.f64 -1 (/.f64 b a) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (/.f64 c b) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3)))))
(+.f64 (fma.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (*.f64 (*.f64 a (pow.f64 (sqrt.f64 -4) 2)) (*.f64 c c)) 1/8) (pow.f64 b 3))))
(+.f64 (*.f64 -1 (/.f64 b a)) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 c a)) -1/2) (pow.f64 b 3)) (/.f64 c b)))
(fma.f64 -1 (/.f64 b a) (fma.f64 -2 (/.f64 (*.f64 -1/2 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) (/.f64 c b)))
(-.f64 (fma.f64 -2 (/.f64 (*.f64 -1/2 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) (/.f64 c b)) (/.f64 b a))
(+.f64 (*.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (/.f64 c b) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) (+.f64 (*.f64 -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)) (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 1/4 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (pow.f64 b 3))))))
(+.f64 (fma.f64 4 (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) (/.f64 c b)) (*.f64 -2 (+.f64 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) (fma.f64 -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)) (*.f64 c (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 (*.f64 (*.f64 a (pow.f64 (sqrt.f64 -4) 2)) (*.f64 c c)) 1/8))))))) (pow.f64 b 5)) (/.f64 (*.f64 (*.f64 (*.f64 a (pow.f64 (sqrt.f64 -4) 2)) (*.f64 c c)) 1/8) (pow.f64 b 3)))))
(+.f64 (*.f64 -1 (/.f64 b a)) (fma.f64 -2 (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c a)) -1/2) (pow.f64 b 3)) (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) 1) (fma.f64 -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)) (*.f64 c (*.f64 a (*.f64 a 16)))) (*.f64 c (*.f64 (*.f64 a (*.f64 -4 (*.f64 (*.f64 c (*.f64 c a)) -1/2))) 1/4)))) (pow.f64 b 5))) (/.f64 c b)))
(fma.f64 -2 (+.f64 (/.f64 (*.f64 -1/2 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) (/.f64 (fma.f64 (/.f64 -1/8 (*.f64 a a)) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) c) (fma.f64 (*.f64 c a) (*.f64 1/4 (*.f64 -4 (*.f64 -1/2 (*.f64 a (*.f64 c c))))) (*.f64 (pow.f64 c 3) (*.f64 a a)))) (pow.f64 b 5))) (fma.f64 -1 (/.f64 b a) (/.f64 c b)))
(fma.f64 -2 (+.f64 (/.f64 (*.f64 -1/2 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) (/.f64 (fma.f64 (/.f64 -1/8 (*.f64 a a)) (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) c) (fma.f64 (*.f64 c a) (*.f64 1/4 (*.f64 -4 (*.f64 -1/2 (*.f64 a (*.f64 c c))))) (*.f64 (pow.f64 c 3) (*.f64 a a)))) (pow.f64 b 5))) (-.f64 (/.f64 c b) (/.f64 b a)))

localize6.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize49.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
4.4b
(*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4)))
8.4b
(/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2))
Compiler

Compiled 68 to 47 computations (30.9% saved)

series16.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
1.0ms
b
@0
(/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2))
1.0ms
a
@0
(/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2))
1.0ms
c
@0
(/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2))
1.0ms
b
@inf
(/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2))
1.0ms
c
@inf
(/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2))

rewrite136.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
839×log-prod_binary64
376×pow2_binary64
266×pow1/3_binary64
260×expm1-udef_binary64
260×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01454
130342
2403942
Stop Event
node limit
Counts
3 → 139
Calls
Call 1
Inputs
(/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2))
(*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4)))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
Outputs
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(/.f64 (/.f64 a (/.f64 -1/2 b)) (*.f64 (*.f64 a c) 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a (/.f64 -1/2 b)) (*.f64 (*.f64 a c) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2)))) 1))))))

simplify84.0ms (0.4%)

Algorithm
egg-herbie
Rules
114×fma-def_binary64
28×sub-neg_binary64
28×fma-neg_binary64
22×*-commutative_binary64
19×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013792
127792
251792
390792
4131792
5158792
6173792
7205792
8317792
9445792
10450792
Stop Event
saturated
Counts
247 → 145
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.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))
(*.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))
Outputs
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(*.f64 2 (/.f64 c (/.f64 b a)))
(*.f64 c (*.f64 2 (/.f64 a 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 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)

localize26.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) 2)
14.2b
(pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2)
Compiler

Compiled 41 to 14 computations (65.9% saved)

series74.0ms (0.4%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
23.0ms
a
@-inf
(pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) 2)
5.0ms
a
@inf
(pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) 2)
4.0ms
b
@0
(pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) 2)
4.0ms
a
@-inf
(pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2)
3.0ms
b
@inf
(pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) 2)

rewrite103.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
602×log-prod_binary64
331×pow2_binary64
326×fma-def_binary64
225×pow1/3_binary64
224×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
125726
2355526
Stop Event
node limit
Counts
2 → 44
Calls
Call 1
Inputs
(pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2)
(pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/6) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/4) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1) (cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1) (*.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/6) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/4) (*.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/4) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/4) 3) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1)) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1))))))

simplify204.0ms (1%)

Algorithm
egg-herbie
Rules
427×times-frac_binary64
423×fma-def_binary64
422×associate-*r*_binary64
360×associate-/l*_binary64
341×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04705987
115945178
271814643
Stop Event
node limit
Counts
116 → 169
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 (sqrt.f64 -1) a))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 (sqrt.f64 -1) a))) (*.f64 (sqrt.f64 (/.f64 c b)) (*.f64 (sqrt.f64 -1) (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2))))))
(+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 1/48 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) (*.f64 (sqrt.f64 -1) (pow.f64 a 3))) (sqrt.f64 (/.f64 c b))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 (sqrt.f64 -1) a))) (*.f64 (sqrt.f64 (/.f64 c b)) (*.f64 (sqrt.f64 -1) (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 a))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 a))))))) (*.f64 c a))) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 a)))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 a))))))) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 a))))))) (pow.f64 a 2)) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 a))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 a))))))) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 a)))))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 1/48 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 a))))))) (pow.f64 a 2)) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 a)))))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (neg.f64 (/.f64 1 b))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (neg.f64 (/.f64 1 b))))))) (*.f64 c a))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (neg.f64 (/.f64 1 b)))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (neg.f64 (/.f64 1 b))))))) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (neg.f64 (/.f64 1 b))))))) (pow.f64 a 2)) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (neg.f64 (/.f64 1 b))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (neg.f64 (/.f64 1 b))))))) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (neg.f64 (/.f64 1 b))))))) (pow.f64 a 2)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (neg.f64 (/.f64 1 b)))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 -1/48 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (neg.f64 (/.f64 1 b))))))) (pow.f64 a 3))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 b)) (log.f64 a))))
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(pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 b)) (log.f64 a)))) 2)
(+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 b)) (log.f64 a)))) 2) (pow.f64 b 2)) (*.f64 c a)) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 b)) (log.f64 a)))) 2))
(+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 b)) (log.f64 a)))) 2) (pow.f64 b 2)) (*.f64 c a)) (+.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 b)) (log.f64 a)))) 2) (*.f64 (pow.f64 b 4) (+.f64 (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 b)) (log.f64 a)))) 2) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (*.f64 1/4 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 b)) (log.f64 a)))) 2) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 b)) (log.f64 a)))) 2) (pow.f64 b 2)) (*.f64 c a)) (+.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 b)) (log.f64 a)))) 2) (+.f64 (*.f64 (pow.f64 b 6) (+.f64 (*.f64 5/8 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 b)) (log.f64 a)))) 2) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 3/8 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 b)) (log.f64 a)))) 2) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (*.f64 (pow.f64 b 4) (+.f64 (*.f64 3/4 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 b)) (log.f64 a)))) 2) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (*.f64 1/4 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 b)) (log.f64 a)))) 2) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))))
(pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (neg.f64 (/.f64 1 c)))))) 2)
(+.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (neg.f64 (/.f64 1 c)))))) 2))) (pow.f64 b 2)) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (neg.f64 (/.f64 1 c)))))) 2))
(+.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (neg.f64 (/.f64 1 c)))))) 2))) (pow.f64 b 2)) (+.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (neg.f64 (/.f64 1 c)))))) 2) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (neg.f64 (/.f64 1 c)))))) 2)) (pow.f64 b 4))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (neg.f64 (/.f64 1 c)))))) 2))) (pow.f64 b 4))))))
(+.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (neg.f64 (/.f64 1 c)))))) 2))) (pow.f64 b 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 1/48 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (neg.f64 (/.f64 1 c)))))) 2)) (pow.f64 b 6))) (+.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (neg.f64 (/.f64 1 c)))))) 2) (+.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (neg.f64 (/.f64 1 c)))))) 2) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))) (pow.f64 b 6)) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (neg.f64 (/.f64 1 c)))))) 2)) (pow.f64 b 4))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (neg.f64 (/.f64 1 c)))))) 2))) (pow.f64 b 4))))))))
(pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 c))))) 2)
(+.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 c))))) 2) (/.f64 (*.f64 c (*.f64 a (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 c))))) 2))) (pow.f64 b 2)))
(+.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 c))))) 2) (+.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 c))))) 2))) (pow.f64 b 2)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 c))))) 2))) (pow.f64 b 4))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 c))))) 2)) (pow.f64 b 4))))))
(+.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 c))))) 2)))) (pow.f64 b 6)) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 1/48 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 c))))) 2)) (pow.f64 b 6))) (+.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 c))))) 2) (+.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 c))))) 2))) (pow.f64 b 2)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 c))))) 2))) (pow.f64 b 4))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 1/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (/.f64 1 c))))) 2)) (pow.f64 b 4))))))))
(pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 c)) (log.f64 (neg.f64 b))))) 2)
(+.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 c)) (log.f64 (neg.f64 b))))) 2))) (pow.f64 b 2)) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 c)) (log.f64 (neg.f64 b))))) 2))
(+.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 c)) (log.f64 (neg.f64 b))))) 2))) (pow.f64 b 2)) (+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 c)) (log.f64 (neg.f64 b))))) 2)) (pow.f64 b 4))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 1/4 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 c)) (log.f64 (neg.f64 b))))) 2))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 c)) (log.f64 (neg.f64 b))))) 2)))
(+.f64 (/.f64 (*.f64 c (*.f64 a (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 c)) (log.f64 (neg.f64 b))))) 2))) (pow.f64 b 2)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 1/8 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 c)) (log.f64 (neg.f64 b))))) 2))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 1/4 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) (*.f64 a (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 c)) (log.f64 (neg.f64 b))))) 2))) (pow.f64 b 2))) (pow.f64 c 3)) (+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 c)) (log.f64 (neg.f64 b))))) 2)) (pow.f64 b 4))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 1/4 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 c)) (log.f64 (neg.f64 b))))) 2))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 c)) (log.f64 (neg.f64 b))))) 2))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))) (*.f64 2 (/.f64 (*.f64 b (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (*.f64 (pow.f64 c 2) a))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))) (+.f64 (*.f64 2 (/.f64 (*.f64 b (+.f64 (*.f64 1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (*.f64 (pow.f64 c 3) a))) (+.f64 (*.f64 2 (/.f64 (*.f64 b (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (*.f64 (pow.f64 c 2) a))) (/.f64 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (*.f64 (pow.f64 c 3) (pow.f64 a 2))))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))) (*.f64 2 (/.f64 (*.f64 b (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (*.f64 (pow.f64 c 2) a))))))
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 b 3)) (pow.f64 a 2))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) b) a))) (pow.f64 c 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))) (*.f64 2 (/.f64 (*.f64 b (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (*.f64 (pow.f64 c 2) a)))))))
Outputs
(*.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 (sqrt.f64 -1) a))))
(fma.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 (sqrt.f64 -1) a))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) a) (*.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1) (*.f64 (*.f64 (sqrt.f64 -1) a) (*.f64 1/2 (fabs.f64 (/.f64 (pow.f64 c 3/2) (pow.f64 b 5/2))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 (sqrt.f64 -1) a))) (*.f64 (sqrt.f64 (/.f64 c b)) (*.f64 (sqrt.f64 -1) (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2))))))
(fma.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 (sqrt.f64 -1) a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1)) (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) 3/8) (*.f64 a a)))))
(fma.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1) (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) a) (*.f64 (*.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1)) (*.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 4) c)) 3/8) (*.f64 a a)))))
(fma.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1) (fma.f64 (sqrt.f64 (/.f64 c b)) (*.f64 (sqrt.f64 -1) (*.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 4) c)) 3/8) (*.f64 a a))) (*.f64 (*.f64 (sqrt.f64 -1) a) (*.f64 1/2 (fabs.f64 (/.f64 (pow.f64 c 3/2) (pow.f64 b 5/2)))))))
(+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 1/48 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))) (*.f64 (sqrt.f64 -1) (pow.f64 a 3))) (sqrt.f64 (/.f64 c b))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 (sqrt.f64 -1) a))) (*.f64 (sqrt.f64 (/.f64 c b)) (*.f64 (sqrt.f64 -1) (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 1/8 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)))))))
(fma.f64 (*.f64 (fma.f64 1/8 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) 3/16)) (*.f64 (sqrt.f64 -1) (pow.f64 a 3))) (sqrt.f64 (/.f64 c b)) (fma.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 (sqrt.f64 -1) a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1)) (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) 3/8) (*.f64 a a))))))
(+.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) a) (*.f64 (*.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 -1)) (*.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 4) c)) 3/8) (*.f64 a a)))) (*.f64 (sqrt.f64 (/.f64 c b)) (+.f64 (*.f64 (sqrt.f64 -1) (*.f64 (pow.f64 a 3) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) 5/16))) (sqrt.f64 -1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 c b)) (*.f64 (sqrt.f64 -1) (*.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 4) c)) 3/8) (*.f64 a a))) (*.f64 (*.f64 (sqrt.f64 -1) a) (*.f64 1/2 (fabs.f64 (/.f64 (pow.f64 c 3/2) (pow.f64 b 5/2)))))) (*.f64 (sqrt.f64 (/.f64 c b)) (+.f64 (*.f64 (sqrt.f64 -1) (*.f64 (pow.f64 a 3) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) 5/16))) (sqrt.f64 -1))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 a))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (neg.f64 (log.f64 b)) (neg.f64 (neg.f64 (log.f64 a)))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 a) (log.f64 b)))
(*.f64 (sqrt.f64 b) (pow.f64 a -1/2))
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(+.f64 (+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 3) c) (*.f64 a a))) (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 b 5) (*.f64 c c)) (pow.f64 a 3)) (fma.f64 2 (*.f64 (/.f64 b (pow.f64 c 3)) (/.f64 (fma.f64 1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 7/48)) a)) (fma.f64 2 (*.f64 (/.f64 b (*.f64 c c)) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) 3/8) a)) (*.f64 (/.f64 (pow.f64 b 3) (pow.f64 c 3)) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) 3/8) (*.f64 a a)))))))
(+.f64 (/.f64 (/.f64 (/.f64 (pow.f64 b 3) c) a) a) (+.f64 (fma.f64 1/4 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 c (pow.f64 a 3)))) (fma.f64 2 (*.f64 (/.f64 b a) (/.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 5/16) (pow.f64 c 3))) (fma.f64 2 (*.f64 (/.f64 b (*.f64 c (*.f64 c a))) (*.f64 3/8 (/.f64 (/.f64 (pow.f64 b 4) a) a))) (*.f64 (/.f64 (pow.f64 b 3) (pow.f64 c 3)) (*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) a) (/.f64 3/8 a)))))) (/.f64 b a)))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 3) c) (*.f64 a a)))
(+.f64 (/.f64 b a) (/.f64 (/.f64 (/.f64 (pow.f64 b 3) c) a) a))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))) (*.f64 2 (/.f64 (*.f64 b (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (*.f64 (pow.f64 c 2) a))))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 3) c) (*.f64 a a))) (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 b 5) (*.f64 c c)) (pow.f64 a 3)) (*.f64 2 (*.f64 (/.f64 b (*.f64 c c)) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) 3/8) a)))))
(+.f64 (+.f64 (/.f64 b a) (/.f64 (/.f64 (/.f64 (pow.f64 b 3) c) a) a)) (fma.f64 2 (*.f64 (/.f64 b (*.f64 c (*.f64 c a))) (*.f64 3/8 (/.f64 (/.f64 (pow.f64 b 4) a) a))) (*.f64 (/.f64 1/4 (*.f64 c c)) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 b 3)) (pow.f64 a 2))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/48 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) b) a))) (pow.f64 c 3))) (+.f64 (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))) (*.f64 2 (/.f64 (*.f64 b (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (*.f64 (pow.f64 c 2) a)))))))
(+.f64 (/.f64 b a) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) 3/8) (/.f64 (*.f64 a a) (pow.f64 b 3))) (*.f64 2 (/.f64 (fma.f64 -1/6 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -7/48)) (/.f64 a b)))) (pow.f64 c 3)) (+.f64 (/.f64 (/.f64 (pow.f64 b 3) c) (*.f64 a a)) (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 b 5) (*.f64 c c)) (pow.f64 a 3)) (*.f64 2 (*.f64 (/.f64 b (*.f64 c c)) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) 3/8) a)))))))
(+.f64 (/.f64 b a) (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 (pow.f64 b 3) c) a) a) (fma.f64 2 (*.f64 (/.f64 b (*.f64 c (*.f64 c a))) (*.f64 3/8 (/.f64 (/.f64 (pow.f64 b 4) a) a))) (*.f64 (/.f64 1/4 (*.f64 c c)) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) (/.f64 (fma.f64 2 (/.f64 b (/.f64 a (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -5/16))) (/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) (*.f64 3/8 (pow.f64 b 3)))) (*.f64 a a))) (pow.f64 c 3))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (/.f64 (/.f64 (pow.f64 b 3) c) a) a) (-.f64 (fma.f64 2 (*.f64 (/.f64 b (*.f64 c (*.f64 c a))) (*.f64 3/8 (/.f64 (/.f64 (pow.f64 b 4) a) a))) (*.f64 (/.f64 1/4 (*.f64 c c)) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (/.f64 (fma.f64 2 (/.f64 b (/.f64 a (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -5/16))) (/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) (*.f64 3/8 (pow.f64 b 3)))) (*.f64 a a))) (pow.f64 c 3)))))

localize35.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
0.4b
(pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)
14.7b
(pow.f64 (*.f64 (*.f64 c -4) a) 1/4)
Compiler

Compiled 66 to 45 computations (31.8% saved)

series210.0ms (1.1%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
69.0ms
a
@-inf
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
53.0ms
c
@0
(pow.f64 (*.f64 (*.f64 c -4) a) 1/4)
18.0ms
c
@-inf
(pow.f64 (*.f64 (*.f64 c -4) a) 1/4)
17.0ms
a
@-inf
(pow.f64 (*.f64 (*.f64 c -4) a) 1/4)
13.0ms
a
@0
(pow.f64 (*.f64 (*.f64 c -4) a) 1/4)

rewrite84.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
761×log-prod_binary64
316×fma-def_binary64
263×expm1-udef_binary64
263×log1p-udef_binary64
261×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01541
133837
2445937
Stop Event
node limit
Counts
3 → 104
Calls
Call 1
Inputs
(pow.f64 (*.f64 (*.f64 c -4) a) 1/4)
(pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)) (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 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/4) (pow.f64 (*.f64 c -4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/8) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 c 1/4) (pow.f64 (*.f64 -4 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1/4) (pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 c (*.f64 -4 a)))) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a)))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (/.f64 1/2 a))))) 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simplify89.0ms (0.5%)

Algorithm
egg-herbie
Rules
633×fma-neg_binary64
455×fma-def_binary64
371×exp-sum_binary64
308×unsub-neg_binary64
286×exp-diff_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0881849
12391801
25851585
314461177
456981177
Stop Event
node limit
Counts
188 → 132
Calls
Call 1
Inputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (*.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 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (*.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 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 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 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(*.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 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) a))
Outputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4))
(pow.f64 (*.f64 4 (/.f64 a (/.f64 -1 c))) 1/4)
(pow.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4))
(pow.f64 (*.f64 4 (/.f64 a (/.f64 -1 c))) 1/4)
(pow.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4))
(pow.f64 (*.f64 4 (/.f64 a (/.f64 -1 c))) 1/4)
(pow.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4))
(pow.f64 (*.f64 4 (/.f64 a (/.f64 -1 c))) 1/4)
(pow.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4))
(pow.f64 (*.f64 a (*.f64 c -4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4))
(pow.f64 (*.f64 4 (/.f64 a (/.f64 -1 c))) 1/4)
(pow.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4))
(pow.f64 (*.f64 4 (/.f64 a (/.f64 -1 c))) 1/4)
(pow.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4))
(pow.f64 (*.f64 4 (/.f64 a (/.f64 -1 c))) 1/4)
(pow.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4))
(pow.f64 (*.f64 4 (/.f64 a (/.f64 -1 c))) 1/4)
(pow.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4)) 1/4)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)
(sqrt.f64 (*.f64 a (*.f64 c -4)))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)
(sqrt.f64 (*.f64 a (*.f64 c -4)))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)
(sqrt.f64 (*.f64 a (*.f64 c -4)))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)
(sqrt.f64 (*.f64 a (*.f64 c -4)))
(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 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)
(sqrt.f64 (*.f64 a (*.f64 c -4)))
(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 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)
(sqrt.f64 (*.f64 a (*.f64 c -4)))
(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 c) (log.f64 (*.f64 -4 a)))) 2)
(pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)
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(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 4 (/.f64 a (/.f64 -1 c)))) b) (/.f64 1/2 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4))) b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 4 (/.f64 a (/.f64 -1 c)))) b) (/.f64 1/2 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4))) b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 4 (/.f64 a (/.f64 -1 c)))) b) (/.f64 1/2 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4))) b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 4 (/.f64 a (/.f64 -1 c)))) b) (/.f64 1/2 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4))) b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b) a))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 1/2) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 4 (/.f64 a (/.f64 -1 c)))) b) (/.f64 1/2 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 (*.f64 -1 c) 4))) b) (/.f64 1/2 a))

eval821.0ms (4.2%)

Compiler

Compiled 19934 to 13421 computations (32.7% saved)

prune266.0ms (1.4%)

Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New6778685
Fresh61319
Picked101
Done358
Total68726713
Error
0.1b
Counts
713 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
41.9b
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
36.5b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
45.9b
(*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))
29.7b
(/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (*.f64 (*.f64 c 1/2) -4)))
45.9b
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
42.3b
(-.f64 (/.f64 (*.f64 c (neg.f64 c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))
50.9b
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
51.7b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)) (*.f64 2 a))
50.7b
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
42.1b
(/.f64 1 (/.f64 a (*.f64 (/.f64 (*.f64 (*.f64 a c) 2) b) -1/2)))
49.0b
(neg.f64 (/.f64 b a))
49.3b
(-.f64 (/.f64 c b) (/.f64 b a))
50.7b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
51.7b
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) (*.f64 2 a))
49.1b
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
36.8b
(/.f64 (neg.f64 c) b)
54.8b
(*.f64 (/.f64 (*.f64 a c) (*.f64 a 2)) (/.f64 -4 (/.f64 (*.f64 (*.f64 a -4) -1/2) (/.f64 b c))))
49.1b
(/.f64 1 (/.f64 (neg.f64 a) b))
45.6b
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
44.9b
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
63.1b
(pow.f64 (sqrt.f64 (/.f64 b a)) 2)
50.8b
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
36.9b
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
49.1b
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a))
29.4b
(/.f64 (*.f64 (*.f64 c 1/2) -4) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
62.3b
(/.f64 b a)
Compiler

Compiled 379 to 276 computations (27.2% saved)

regimes1.1s (5.5%)

Counts
58 → 4
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (/.f64 (*.f64 (*.f64 a c) 2) b) -1/2)))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a 2)) (/.f64 -4 (/.f64 (*.f64 (*.f64 a -4) -1/2) (/.f64 b c))))
(*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
(*.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 (*.f64 c (neg.f64 c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) (/.f64 c b)) a (/.f64 c b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(pow.f64 (sqrt.f64 (/.f64 b a)) 2)
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
(pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) (*.f64 2 a))
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (*.f64 (*.f64 c 1/2) -4) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
(/.f64 1 (*.f64 (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a))
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
(/.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (*.f64 (*.f64 c 1/2) -4)))
(*.f64 (-.f64 b (cbrt.f64 (+.f64 (pow.f64 b 3) (*.f64 -6 (*.f64 c (*.f64 a b)))))) (/.f64 -1/2 a))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a 2)) (/.f64 -4 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))
(/.f64 (/.f64 (*.f64 a (*.f64 -4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (*.f64 2 a))
(*.f64 (-.f64 b (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (pow.f64 (*.f64 a (*.f64 c -4)) 2)) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))) (/.f64 -1/2 a))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3))
(*.f64 (-.f64 b (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)) (/.f64 -1/2 a))
(/.f64 1 (/.f64 a (*.f64 (-.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
(*.f64 (-.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)) (*.f64 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 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (*.f64 2 a))
(exp.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (*.f64 a -2))))
(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (*.f64 2 a))
(pow.f64 (pow.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 3) 1/3)
(/.f64 1 (cbrt.f64 (pow.f64 (*.f64 a (/.f64 -2 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) 3)))
(/.f64 (/.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) -1/2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) -1/2)) (cbrt.f64 a)))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (*.f64 (*.f64 c 1/2) -4) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(/.f64 (neg.f64 c) b)
Calls

4 calls:

425.0ms
c
282.0ms
a
226.0ms
b
97.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Results
ErrorSegmentsBranch
20.8b10a
8.7b4b
21.1b9c
13.5b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 862 to 509 computations (41% saved)

bsearch207.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
97.0ms
1.8496241883414223e-88
1.6467966421213976e-83
37.0ms
-3.3579760591789027e-280
-2.6200914170682374e-281
73.0ms
-3.603675138730036e+120
-1.161156002358397e+106
Compiler

Compiled 844 to 608 computations (28% saved)

regimes361.0ms (1.8%)

Counts
36 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (/.f64 (*.f64 (*.f64 a c) 2) b) -1/2)))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a 2)) (/.f64 -4 (/.f64 (*.f64 (*.f64 a -4) -1/2) (/.f64 b c))))
(*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
(*.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 (*.f64 c (neg.f64 c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) (/.f64 c b)) a (/.f64 c b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(pow.f64 (sqrt.f64 (/.f64 b a)) 2)
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
(pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) (*.f64 2 a))
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
(*.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
Outputs
(-.f64 (/.f64 c b) (/.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:

203.0ms
a
50.0ms
b
47.0ms
c
44.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Results
ErrorSegmentsBranch
23.9b10a
9.9b3b
28.2b3c
13.6b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 441 to 244 computations (44.7% saved)

bsearch335.0ms (1.7%)

Algorithm
binary-search
Steps
TimeLeftRight
191.0ms
1.8496241883414223e-88
1.6467966421213976e-83
142.0ms
-3.603675138730036e+120
-1.161156002358397e+106
Compiler

Compiled 607 to 428 computations (29.5% saved)

regimes386.0ms (2%)

Counts
24 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (/.f64 (*.f64 (*.f64 a c) 2) b) -1/2)))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a 2)) (/.f64 -4 (/.f64 (*.f64 (*.f64 a -4) -1/2) (/.f64 b c))))
(*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
(*.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 (*.f64 c (neg.f64 c)) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) (/.f64 c b)) a (/.f64 c b)))
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:

169.0ms
a
132.0ms
c
70.0ms
b
Results
ErrorSegmentsBranch
30.9b8a
12.3b3b
30.6b6c
Compiler

Compiled 266 to 146 computations (45.1% saved)

bsearch387.0ms (2%)

Algorithm
binary-search
Steps
TimeLeftRight
190.0ms
1.8496241883414223e-88
1.6467966421213976e-83
196.0ms
-3.9054118664969426
-0.015027600434179429
Compiler

Compiled 475 to 350 computations (26.3% saved)

regimes330.0ms (1.7%)

Counts
20 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (/.f64 (*.f64 (*.f64 a c) 2) b) -1/2)))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a 2)) (/.f64 -4 (/.f64 (*.f64 (*.f64 a -4) -1/2) (/.f64 b c))))
(*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
(*.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:

148.0ms
a
111.0ms
c
59.0ms
b
Results
ErrorSegmentsBranch
30.9b8a
12.3b3b
30.6b6c
Compiler

Compiled 210 to 121 computations (42.4% saved)

bsearch377.0ms (1.9%)

Algorithm
binary-search
Steps
TimeLeftRight
182.0ms
1.8496241883414223e-88
1.6467966421213976e-83
194.0ms
-3.9054118664969426
-0.015027600434179429
Compiler

Compiled 458 to 333 computations (27.3% saved)

regimes329.0ms (1.7%)

Counts
19 → 5
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (/.f64 (*.f64 (*.f64 a c) 2) b) -1/2)))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a 2)) (/.f64 -4 (/.f64 (*.f64 (*.f64 a -4) -1/2) (/.f64 b c))))
(*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
(neg.f64 (/.f64 b a))
(*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

153.0ms
a
93.0ms
b
73.0ms
c
Results
ErrorSegmentsBranch
31.0b8a
11.7b5b
31.7b4c
Compiler

Compiled 198 to 113 computations (42.9% saved)

bsearch581.0ms (3%)

Algorithm
binary-search
Steps
TimeLeftRight
182.0ms
1.8496241883414223e-88
1.6467966421213976e-83
126.0ms
-2.6282397248904476e-95
-5.8056982098993275e-98
170.0ms
-1.976285248177336e-58
-3.985768986800181e-64
104.0ms
-6.081072917559601e-40
-1.669579567426193e-46
Compiler

Compiled 893 to 658 computations (26.3% saved)

regimes283.0ms (1.4%)

Counts
18 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (/.f64 (*.f64 (*.f64 a c) 2) b) -1/2)))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a 2)) (/.f64 -4 (/.f64 (*.f64 (*.f64 a -4) -1/2) (/.f64 b c))))
(*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

149.0ms
a
69.0ms
c
54.0ms
b
Results
ErrorSegmentsBranch
31.0b8a
12.7b3b
31.7b4c
Compiler

Compiled 186 to 105 computations (43.5% saved)

bsearch331.0ms (1.7%)

Algorithm
binary-search
Steps
TimeLeftRight
168.0ms
1.8496241883414223e-88
1.6467966421213976e-83
162.0ms
-6.081072917559601e-40
-1.669579567426193e-46
Compiler

Compiled 485 to 352 computations (27.4% saved)

regimes179.0ms (0.9%)

Counts
17 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) b)
(neg.f64 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b 2) (/.f64 -1/2 a))
(*.f64 (-.f64 b b) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (/.f64 (*.f64 (*.f64 a c) 2) b) -1/2)))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 b (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)) (/.f64 -1/2 a))
(*.f64 (/.f64 (*.f64 a c) (*.f64 a 2)) (/.f64 -4 (/.f64 (*.f64 (*.f64 a -4) -1/2) (/.f64 b c))))
Outputs
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

85.0ms
a
48.0ms
c
35.0ms
b
Results
ErrorSegmentsBranch
33.7b5a
23.2b2b
34.8b3c
Compiler

Compiled 174 to 97 computations (44.3% saved)

bsearch254.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
254.0ms
5.192691735442896e-194
3.3748477057842524e-189
Compiler

Compiled 154 to 115 computations (25.3% saved)

regimes26.0ms (0.1%)

Accuracy

Total -25.9b remaining (-70.4%)

Threshold costs -25.9b (-70.4%)

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

3 calls:

8.0ms
a
8.0ms
b
8.0ms
c
Results
ErrorSegmentsBranch
36.8b1a
36.8b1b
36.8b1c
Compiler

Compiled 26 to 15 computations (42.3% saved)

simplify231.0ms (1.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
079388
1113382
2135382
3151382
4158382
5161382
6162382
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 b -12000000000000000277617598070626785618147172578354574265267191383434583219965421240832496211715252155318272) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -8665459622325465/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (/.f64 (*.f64 (*.f64 c 1/2) -4) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b -12000000000000000277617598070626785618147172578354574265267191383434583219965421240832496211715252155318272) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (/.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 -8762203435012037/576460752303423488) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -8762203435012037/576460752303423488) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -8741742960768907/51422017416287688817342786954917203280710495801049370729644032) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5512562842108559/28269553036454149273332760011886696253239742350009903329945699220681916416) (*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a)) (if (<=.f64 b -4540465557787645/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (neg.f64 (/.f64 b a)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -8741742960768907/51422017416287688817342786954917203280710495801049370729644032) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b 4138576620843323/1254114127528279663858649702758819738757691336351197686075754380957778013777036862877289423055073845679040662969631723812346323072954131093770936672842951023567968290121184491680065097304421119039367020544) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(/.f64 b a)
Outputs
(if (<=.f64 b -12000000000000000277617598070626785618147172578354574265267191383434583219965421240832496211715252155318272) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -8665459622325465/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (/.f64 (*.f64 (*.f64 c 1/2) -4) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b -12000000000000000277617598070626785618147172578354574265267191383434583219965421240832496211715252155318272) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -8665459622325465/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 a 2)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (/.f64 (*.f64 (*.f64 c 1/2) -4) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b -12000000000000000277617598070626785618147172578354574265267191383434583219965421240832496211715252155318272) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -8665459622325465/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a)))) b) (*.f64 a 2)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (/.f64 (*.f64 (*.f64 c 1/2) -4) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b -12000000000000000277617598070626785618147172578354574265267191383434583219965421240832496211715252155318272) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (/.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 -12000000000000000277617598070626785618147172578354574265267191383434583219965421240832496211715252155318272) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -12000000000000000277617598070626785618147172578354574265267191383434583219965421240832496211715252155318272) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a)))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -8762203435012037/576460752303423488) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -8762203435012037/576460752303423488) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -8762203435012037/576460752303423488) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -8762203435012037/576460752303423488) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -8741742960768907/51422017416287688817342786954917203280710495801049370729644032) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5512562842108559/28269553036454149273332760011886696253239742350009903329945699220681916416) (*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a)) (if (<=.f64 b -4540465557787645/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (neg.f64 (/.f64 b a)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -8741742960768907/51422017416287688817342786954917203280710495801049370729644032) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5512562842108559/28269553036454149273332760011886696253239742350009903329945699220681916416) (*.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) a)) (if (<=.f64 b -4540465557787645/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (/.f64 (neg.f64 b) a) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -8741742960768907/51422017416287688817342786954917203280710495801049370729644032) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (*.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -8741742960768907/51422017416287688817342786954917203280710495801049370729644032) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 1657411109211575/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104) (*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b 4138576620843323/1254114127528279663858649702758819738757691336351197686075754380957778013777036862877289423055073845679040662969631723812346323072954131093770936672842951023567968290121184491680065097304421119039367020544) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b))
(if (<=.f64 b 4138576620843323/1254114127528279663858649702758819738757691336351197686075754380957778013777036862877289423055073845679040662969631723812346323072954131093770936672842951023567968290121184491680065097304421119039367020544) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(/.f64 b a)
Compiler

Compiled 284 to 185 computations (34.9% saved)

soundness746.0ms (3.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01526
13422
26922
316122
425722
541522
673022
7132222
8263222
9391422
10578022
11690922
12775122
13783922
04084188
113253872
253003510
01271410
14011194
216881122
01842477
15822367
221172202
011576
121576
241576
374576
4110576
5129576
6137576
7158576
8244576
9344576
Stop Event
saturated
node limit
node limit
node limit
node limit
Compiler

Compiled 479 to 338 computations (29.4% saved)

end162.0ms (0.8%)

Compiler

Compiled 260 to 127 computations (51.2% saved)

Profiling

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