Details

Time bar (total: 25.7s)

analyze473.0ms (1.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%93.6%6.4%7
6.2%87.4%6.4%8
10.1%81.1%8.7%9
15.6%71%13.4%10
22%63%15%11
29.1%52.9%18.1%12
Compiler

Compiled 21 to 15 computations (28.6% saved)

sample4.2s (16.4%)

Results
1.8s5512×body256valid
1.1s1196×body2048valid
471.0ms421×body4096valid
410.0ms741×body1024valid
335.0ms1604×body256invalid
102.0ms386×body512valid

preprocess91.0ms (0.4%)

Algorithm
egg-herbie
Rules
801×fma-def_binary64
678×div-sub_binary64
478×associate-/r*_binary64
440×distribute-frac-neg_binary64
353×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038104
19988
222088
344688
475688
5124988
6222388
7444888
8716588
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 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 4 b) c)))) (*.f64 2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 c) a)))) (*.f64 2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 4 a) b)))) (*.f64 2 a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 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 a (*.f64 c -4)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) a) -1/2)
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 4 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 c (*.f64 b -4)))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 b (*.f64 c -4)))) a) (*.f64 b 2))
(*.f64 -1/2 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 a a (*.f64 b (*.f64 c -4))))) b))
(*.f64 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) b) -1/2)
(*.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 (*.f64 4 c) a)))) (*.f64 2 c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 4 c))))) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (*.f64 c 2))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) c))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) c) -1/2)
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 -1/2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 4 a) b)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b (*.f64 4 a))))) (*.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 (-.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))) a) -1/2)
(*.f64 (-.f64 c (sqrt.f64 (fma.f64 (*.f64 b a) -4 (*.f64 c c)))) (/.f64 -1/2 a))
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify138.0ms (0.5%)

Algorithm
egg-herbie
Rules
981×fma-def_binary64
771×fma-neg_binary64
681×div-sub_binary64
619×times-frac_binary64
478×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01526
13322
27222
316322
426622
543522
674722
7133422
8270422
9410022
10572422
11642922
12708522
13717322
14773522
15787722
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 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 c (*.f64 a -4)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 -4 (*.f64 a c) (*.f64 b b))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (*.f64 a 2))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))

eval1.0ms (0%)

Compiler

Compiled 35 to 22 computations (37.1% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
34.6b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
34.6b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
34.7b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
Compiler

Compiled 38 to 26 computations (31.6% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 a (*.f64 c -4) (*.f64 b b))
0.2b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
1.3b
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b)
25.2b
(sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))
Compiler

Compiled 60 to 30 computations (50% saved)

series28.0ms (0.1%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
2.0ms
b
@0
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
1.0ms
b
@0
(sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))
1.0ms
a
@inf
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
1.0ms
c
@inf
(sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))
1.0ms
a
@0
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))

rewrite110.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
781×prod-diff_binary64
636×log-prod_binary64
366×fma-def_binary64
244×expm1-udef_binary64
244×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01362
128062
2364659
Stop Event
node limit
Counts
4 → 219
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b)
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
(fma.f64 a (*.f64 c -4) (*.f64 b b))
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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 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 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))))))) (#(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 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b)))) (#(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))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1 (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (fma.f64 b 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (*.f64 (*.f64 a c) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 a c) -4) 1) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (*.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2) (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) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 3) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (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 (+.f64 (pow.f64 (*.f64 (*.f64 a c) -4) 3) (pow.f64 (*.f64 b b) 3)) (fma.f64 (*.f64 (*.f64 a c) -4) (*.f64 (*.f64 a c) -4) (-.f64 (pow.f64 b 4) (*.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) -4) (*.f64 (*.f64 a c) -4)) (pow.f64 b 4)) (-.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 b) b) (exp.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b b))) (exp.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 a c) -4)) (+.f64 1 (expm1.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b b (*.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))))))

simplify77.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01842477
15822367
221172202
Stop Event
node limit
Counts
315 → 300
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 -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 (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 -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))))))
(*.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)))))
(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 -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)))
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 (*.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 (pow.f64 b 3)) c) (*.f64 a a) (*.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 b (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(+.f64 b (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (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 (*.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 (pow.f64 b 3)) c) (*.f64 a a) (*.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 b (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(+.f64 b (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (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 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 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) 1/2) (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))))))
(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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)))))
(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 b (/.f64 (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)
(+.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 (pow.f64 b 3)) c) (*.f64 a a) (*.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 b (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(+.f64 b (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (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 (/.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)
(fma.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (neg.f64 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 (-.f64 (fma.f64 2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (/.f64 (*.f64 (*.f64 4 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 b 5))) b))
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4 (fma.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (neg.f64 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 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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))))
(*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)))
(+.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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))
(+.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)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (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))) 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))))))
(fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -2 (*.f64 (/.f64 c b) a) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 c 4) b) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20)) (fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 -2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 -2 b) (*.f64 c a))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a))))
(*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)))
(+.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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))
(fma.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 (/.f64 -4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))
(+.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)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (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))) 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))))))
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(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (neg.f64 (/.f64 c b))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.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 a 4) (pow.f64 c 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 a 4) (pow.f64 c 4)) (*.f64 4 (*.f64 (pow.f64 a 4) (pow.f64 c 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (neg.f64 (/.f64 c b)))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) 20) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.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 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) (-.f64 (/.f64 c b) (/.f64 b a)))
(fma.f64 (*.f64 (/.f64 c (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))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 c b) (+.f64 (-.f64 (*.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 a (*.f64 c -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 a (*.f64 c -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 a (*.f64 c -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 a (*.f64 c -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 c (*.f64 a -4))
(*.f64 a (*.f64 c -4))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 b b (*.f64 c (*.f64 a -4)))
(fma.f64 b b (*.f64 a (*.f64 c -4)))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 4 a) c)
0.4b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
1.3b
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
25.2b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
Compiler

Compiled 73 to 38 computations (47.9% saved)

series52.0ms (0.2%)

Counts
4 → 100
Calls

33 calls:

TimeVariablePointExpression
38.0ms
c
@-inf
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
1.0ms
b
@0
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
1.0ms
b
@0
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
1.0ms
c
@-inf
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
0.0ms
c
@inf
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))

rewrite112.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
704×fma-def_binary64
631×log-prod_binary64
357×fma-neg_binary64
327×pow2_binary64
223×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01255
127647
2393145
Stop Event
node limit
Counts
4 → 310
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
(*.f64 (*.f64 4 a) c)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) 4) c)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) 4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) 4) c))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) 4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (*.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (*.f64 a c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64 (pow.f64 (*.f64 a c) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 (*.f64 a c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) 4) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64 (pow.f64 (*.f64 a c) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (*.f64 a c))) 1))))))

simplify105.0ms (0.4%)

Algorithm
egg-herbie
Rules
712×times-frac_binary64
666×associate-*r*_binary64
633×associate-*l*_binary64
621×fma-def_binary64
437×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01271929
13971849
213751750
378281750
Stop Event
node limit
Counts
410 → 364
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 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
(*.f64 4 (*.f64 c a))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (/.f64 (*.f64 c a) b) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b)))
(fma.f64 -2 (*.f64 (/.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 (*.f64 c a) b)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (*.f64 -2 (*.f64 c a)) b))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (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 (*.f64 -2 c) (/.f64 b a)))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 (*.f64 c a) b) (neg.f64 b))
(-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b)
(-.f64 (/.f64 (*.f64 c a) (/.f64 b 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 -1 b)))
(fma.f64 2 (/.f64 (*.f64 c a) b) (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)
(fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (neg.f64 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 (*.f64 c a) b) (fma.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (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 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) b))
(fma.f64 4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (neg.f64 b)))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (/.f64 (*.f64 c a) b) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b)))
(fma.f64 -2 (*.f64 (/.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 (*.f64 c a) b)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (*.f64 -2 (*.f64 c a)) b))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (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 (*.f64 -2 c) (/.f64 b a)))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (/.f64 (*.f64 c a) b) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (/.f64 (*.f64 -2 (*.f64 c a)) b)))
(fma.f64 -2 (*.f64 (/.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 (*.f64 c a) b)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (/.f64 (*.f64 -2 (*.f64 c a)) b))))
(+.f64 b (fma.f64 -2 (*.f64 (/.f64 (*.f64 c c) (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 (*.f64 -2 c) (/.f64 b a)))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b)) (*.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))))))
(*.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 (*.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 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 (*.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (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)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
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(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))
(*.f64 4 (*.f64 c a))
(*.f64 (*.f64 c a) 4)
(*.f64 c (*.f64 a 4))

eval408.0ms (1.6%)

Compiler

Compiled 18341 to 10994 computations (40.1% saved)

prune131.0ms (0.5%)

Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New63925664
Fresh000
Picked101
Done101
Total64125666
Error
5.2b
Counts
666 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
54.9b
(*.f64 (-.f64 b b) (/.f64 1/2 a))
41.4b
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2))) (*.f64 2 a))
44.3b
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
44.3b
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
34.6b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a))
46.3b
(-.f64 (/.f64 c b) (/.f64 b a))
39.7b
(*.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) b) (/.f64 1/2 a))
50.0b
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a))
42.1b
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
34.7b
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
52.7b
(/.f64 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b))) (*.f64 2 a))
46.8b
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a))
47.5b
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a))
33.8b
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)))
46.5b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
39.4b
(/.f64 (neg.f64 c) b)
46.0b
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
46.2b
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
36.4b
(*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a))
44.0b
(/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a))
41.5b
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.f64 1/2 a))
46.2b
(/.f64 (neg.f64 b) a)
35.1b
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
46.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
48.3b
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
Compiler

Compiled 830 to 584 computations (29.6% saved)

localize69.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))
0.1b
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)))
0.3b
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b)
14.2b
(sqrt.f64 (*.f64 (*.f64 a c) -4))
Compiler

Compiled 83 to 46 computations (44.6% saved)

series122.0ms (0.5%)

Counts
4 → 36
Calls

33 calls:

TimeVariablePointExpression
28.0ms
b
@inf
(/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))
9.0ms
c
@0
(/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))
9.0ms
c
@0
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b)
7.0ms
a
@inf
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)))
6.0ms
a
@-inf
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)))

rewrite109.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
804×log-prod_binary64
579×prod-diff_binary64
276×expm1-udef_binary64
276×log1p-udef_binary64
244×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01569
132366
2422166
Stop Event
node limit
Counts
4 → 215
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 a c) -4))
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b)
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)))
(/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) (cbrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (pow.f64 (*.f64 c -4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) (pow.f64 (*.f64 a (*.f64 c -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 (*.f64 a c) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 16 (pow.f64 (*.f64 a c) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 c -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 c -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 c -4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 c -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x 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b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a 1/2) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))) 1))))))

simplify87.0ms (0.3%)

Algorithm
egg-herbie
Rules
825×associate-/r*_binary64
635×unswap-sqr_binary64
444×associate-*l/_binary64
393×associate-*r/_binary64
257×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02221791
16881412
228281348
373521341
Stop Event
node limit
Counts
251 → 286
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 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 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 1/16 (/.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 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 1/16 (/.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 (*.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 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))))
(*.f64 -2 b)
(+.f64 (*.f64 -2 b) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.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 -2 b) (+.f64 (*.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 -1/16 (/.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 (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 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (*.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 (*.f64 -2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 b 3) (+.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 -1 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))))) (*.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 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.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 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.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 -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))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (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 (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)) 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 (sqrt.f64 -4) (*.f64 b b)))) b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) b))) b))
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 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 (sqrt.f64 -4) -4))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (sqrt.f64 -4) (*.f64 b b)))) 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 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) b))) 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 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) b)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 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 (/.f64 c b) (*.f64 a -4)))
(/.f64 1/2 (/.f64 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 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)))
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 -4 b) c) a) (/.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 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)))) (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 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)))))
(+.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)) (/.f64 1/2 (/.f64 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 (*.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 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)))) (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 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 2)) (pow.f64 b 7)) (*.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.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))))))
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(+.f64 (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (/.f64 (*.f64 b -1/2) c)) (*.f64 -2 (*.f64 (*.f64 b b) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 1/8 (sqrt.f64 -4))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) -1/2) 16) (/.f64 1/32 (*.f64 c (*.f64 c a)))) b)))))
(*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(*.f64 -1 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 a b))
(+.f64 (*.f64 -1 (/.f64 b c)) (/.f64 a b))
(+.f64 (/.f64 (neg.f64 b) c) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.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))))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8) (pow.f64 b 3)) (+.f64 (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (/.f64 a b)))
(+.f64 (*.f64 -1 (/.f64 b c)) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 a b)))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (-.f64 (/.f64 a b) (/.f64 b c)))
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.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 -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))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (*.f64 1/4 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/8 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5))))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8) (pow.f64 b 3)) (+.f64 (/.f64 a b) (fma.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 2)) (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (*.f64 (*.f64 c c) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (*.f64 1/4 (*.f64 c (*.f64 a (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 (*.f64 c (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))) 1/8))))))) (pow.f64 b 5))))))
(+.f64 (fma.f64 -2 (/.f64 (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 a (*.f64 16 (*.f64 c c)))) (fma.f64 1/4 (*.f64 c (*.f64 (*.f64 a -4) (*.f64 (*.f64 c (*.f64 a a)) -1/2))) (*.f64 (*.f64 c (*.f64 c (pow.f64 a 3))) 1))) (pow.f64 b 5)) (*.f64 -1 (/.f64 b c))) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (fma.f64 -2 (/.f64 (+.f64 (*.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))) (fma.f64 1/4 (*.f64 (*.f64 c a) (*.f64 (*.f64 a (*.f64 a 16)) (*.f64 c 1/8))) (*.f64 (pow.f64 a 3) (*.f64 c c)))) (pow.f64 b 5)) (/.f64 (neg.f64 b) c)) (fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (/.f64 a b)))
(+.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (*.f64 -2 (+.f64 (/.f64 (+.f64 (*.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))) (fma.f64 1/4 (*.f64 (*.f64 c a) (*.f64 (*.f64 a (*.f64 a 16)) (*.f64 c 1/8))) (*.f64 (pow.f64 a 3) (*.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 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a))))))
(-.f64 (/.f64 (*.f64 (*.f64 -1 c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 a b))
(-.f64 (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3)) (/.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 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.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 (*.f64 (*.f64 -1 c) (*.f64 a a)) (pow.f64 b 3))) (/.f64 a b))
(-.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) (pow.f64 b 5)) 16) (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3))) (/.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 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (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 (-.f64 (/.f64 (*.f64 (*.f64 -1 c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 a b)) (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7)) (/.f64 (*.f64 -1/8 (*.f64 c c)) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) 16)))))
(+.f64 (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3)) (-.f64 (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 (pow.f64 a 3) (*.f64 c c)) (pow.f64 b 5)) 16))) (/.f64 a b)))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) (pow.f64 b 5)) 16) (/.f64 (*.f64 (neg.f64 c) (*.f64 a a)) (pow.f64 b 3))) (fma.f64 (/.f64 2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (/.f64 (neg.f64 a) b)))

localize5.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -2 (/.f64 (*.f64 c a) b))
5.4b
(/.f64 (*.f64 c a) b)
10.8b
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
Compiler

Compiled 37 to 16 computations (56.8% saved)

series15.0ms (0.1%)

Counts
3 → 36
Calls

27 calls:

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

rewrite75.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
731×log-prod_binary64
389×pow-prod-down_binary64
314×pow2_binary64
263×pow-unpow_binary64
223×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01130
124229
2347629
Stop Event
node limit
Counts
3 → 140
Calls
Call 1
Inputs
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(/.f64 (*.f64 c a) b)
(*.f64 -2 (/.f64 (*.f64 c a) b))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2 (/.f64 (/.f64 b c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 (/.f64 b c) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 -2 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 c a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 (*.f64 c a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 (*.f64 c a)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 (*.f64 c a)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 (*.f64 c a)) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c -2) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (neg.f64 c)) -2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 c) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 a (neg.f64 c))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (/.f64 (/.f64 b c) a) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 -2 (*.f64 c a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (/.f64 (/.f64 b c) a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -2 (/.f64 (/.f64 b c) a))) 1))))))

simplify21.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06216
110216
217216
323216
429216
537216
645216
755216
863216
977216
Stop Event
saturated
Counts
176 → 142
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))
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)

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
0.2b
(*.f64 c (*.f64 a -4))
14.2b
(sqrt.f64 (*.f64 c (*.f64 a -4)))
Compiler

Compiled 49 to 30 computations (38.8% saved)

series12.0ms (0%)

Counts
3 → 38
Calls

21 calls:

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

rewrite105.0ms (0.4%)

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
01336
128434
2396834
Stop Event
node limit
Counts
3 → 95
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 c (*.f64 a -4)))
(*.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 c -4) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 c -4) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c -4) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 c -4) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 c 3) (pow.f64 (*.f64 a -4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 a -4) 3) (pow.f64 c 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 c -4) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 (*.f64 a -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a -4) 3) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 c -4) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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))))))

simplify38.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
017399
130399
252399
364399
466399
567399
Stop Event
saturated
Counts
133 → 101
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 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 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 c) a)
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 -4 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)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (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)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (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)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (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)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (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)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (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)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (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)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (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)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (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)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))

localize53.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 62 to 37 computations (40.3% saved)

series36.0ms (0.1%)

Counts
4 → 24
Calls

27 calls:

TimeVariablePointExpression
11.0ms
a
@-inf
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
2.0ms
a
@inf
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
2.0ms
a
@-inf
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))
2.0ms
a
@inf
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))
2.0ms
a
@-inf
(-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b)

rewrite105.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
708×log-prod_binary64
503×prod-diff_binary64
262×pow1/3_binary64
259×expm1-udef_binary64
259×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451
130251
2382851
Stop Event
node limit
Counts
4 → 192
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 c -4))
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
(-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c -4)))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c -4)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c -4))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 c -4))) (cbrt.f64 (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c -4)) (cbrt.f64 (sqrt.f64 (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 (*.f64 c -4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -4) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 c -4) 2))) (sqrt.f64 (cbrt.f64 (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 c -4) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 c -4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c -4) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c -4) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c -4) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c -4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c -4))) 1))))))
((#(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 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)))))) (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 pow.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) 1)))) (#(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 (pow.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) 3) 1/3)))) (#(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 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 3/2) (pow.f64 a 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x 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 (sqrt.f64 (*.f64 (*.f64 c -4) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 c -4) 3/2) (pow.f64 a 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 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 (sqrt.f64 (*.f64 (*.f64 c -4) a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 a) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b)) (*.f64 (/.f64 1/2 a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) b)) (/.f64 1/2 a))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) b)) (/.f64 1/2 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) b)) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) b)) (/.f64 1/2 a)))) (log.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b))))))

simplify64.0ms (0.2%)

Algorithm
egg-herbie
Rules
919×times-frac_binary64
685×associate-/l*_binary64
557×unswap-sqr_binary64
489×associate-/r*_binary64
483×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01461093
1423893
21543854
36630854
Stop Event
node limit
Counts
216 → 240
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 1/4 (*.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 (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 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 1/16 (/.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 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 1/16 (/.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 (*.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 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))))
(*.f64 -2 b)
(+.f64 (*.f64 -2 b) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.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 -2 b) (+.f64 (*.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 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
Outputs
(*.f64 1/2 (*.f64 (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 -1/2 (/.f64 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 (*.f64 -1/2 b) a))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 1/4 (*.f64 (/.f64 b (sqrt.f64 -4)) b)))))
(+.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 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.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 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) (/.f64 (*.f64 -1/2 b) a))))
(fma.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (fma.f64 -1/2 (/.f64 b a) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (*.f64 1/64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4)))))))
(*.f64 1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(*.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))))
(/.f64 (*.f64 -1 c) b)
(/.f64 (neg.f64 c) 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))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (*.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))))
(fma.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) (/.f64 (*.f64 -1 c) b))
(fma.f64 -1/16 (/.f64 a (/.f64 (/.f64 (pow.f64 b 3) 16) (*.f64 c c))) (/.f64 (neg.f64 c) b))
(+.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)))))
(fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))))))
(+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) (*.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)))))
(fma.f64 -1/16 (/.f64 a (/.f64 (/.f64 (pow.f64 b 3) 16) (*.f64 c c))) (fma.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (*.f64 a a)) (/.f64 (neg.f64 c) b)))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.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))))))
(fma.f64 -1/4 (/.f64 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a))) 2)) (*.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6))))))))
(+.f64 (fma.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) (*.f64 -1/16 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)))) (fma.f64 -1/4 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2)) (*.f64 a (pow.f64 b 7))) (/.f64 (*.f64 -1 c) b)))
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1/16 (/.f64 a (/.f64 (/.f64 (pow.f64 b 3) 16) (*.f64 c c))) (fma.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (*.f64 a a)) (/.f64 (neg.f64 c) b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (*.f64 -1 (/.f64 b a)))
(fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 (*.f64 1 c) b) (/.f64 b a))
(-.f64 (/.f64 c b) (/.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))))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (/.f64 (neg.f64 b) a)))
(-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) 1/16 (/.f64 (*.f64 1 c) b)) (/.f64 b a))
(-.f64 (fma.f64 (/.f64 a (/.f64 (/.f64 (pow.f64 b 3) 16) (*.f64 c c))) 1/16 (/.f64 c b)) (/.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)))))
(fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 -1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) (/.f64 (neg.f64 b) a))))
(+.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) -1/32 (/.f64 (neg.f64 b) a)) (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 16)) 1/16 (/.f64 (*.f64 1 c) b)))
(-.f64 (fma.f64 (/.f64 a (/.f64 (/.f64 (pow.f64 b 3) 16) (*.f64 c c))) 1/16 (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (*.f64 a a)) -1/32 (/.f64 c b))) (/.f64 b a))
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (*.f64 a a)) -1/32 (-.f64 (fma.f64 (/.f64 a (/.f64 (/.f64 (pow.f64 b 3) 16) (*.f64 c c))) 1/16 (/.f64 c b)) (/.f64 b a)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)))
(+.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 -4) (sqrt.f64 (*.f64 c a))) 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 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) a))))))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)) b))
(-.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b)))) b)
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.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 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 3) (pow.f64 c 3))))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (*.f64 1/2 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) a)))))))
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 3) (pow.f64 c 3))))) (fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)) b)))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) (-.f64 (fma.f64 1/2 (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (sqrt.f64 (/.f64 1 (*.f64 c a)))) (*.f64 1/32 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))))))) b))
(*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(*.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b))
(/.f64 (*.f64 c 1/2) (/.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 c c) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) (*.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b)))
(fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))
(fma.f64 1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.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 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)))) (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 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b))))
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (/.f64 (*.f64 1/16 (pow.f64 c 3)) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.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 (*.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 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)))) (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 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 c 4) (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)) (pow.f64 b 7)) (*.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b)))))
(+.f64 (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (/.f64 -1/2 (/.f64 (pow.f64 b 7) (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2))))) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3))))
(+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.f64 (pow.f64 b 3) -2)) (fma.f64 1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.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 -2 b) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 -2 b (*.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b)))
(fma.f64 -1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 b -2))
(fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2))
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))
(fma.f64 -2 b (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (*.f64 a a)))) 1/8)))
(fma.f64 b -2 (fma.f64 -1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8)))
(fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (fma.f64 (/.f64 (*.f64 a 16) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) a)) 1/8 (*.f64 b -2)))
(+.f64 (*.f64 -2 b) (+.f64 (*.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 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 -2 b (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c 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 -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 b -2 (fma.f64 -1/2 (*.f64 (/.f64 c b) (*.f64 a -4)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8))))
(fma.f64 b -2 (fma.f64 -1/16 (*.f64 (*.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 (/.f64 (*.f64 a 16) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) a)) 1/8))))

eval399.0ms (1.6%)

Compiler

Compiled 17550 to 11319 computations (35.5% saved)

prune163.0ms (0.6%)

Pruning

29 alts after pruning (27 fresh and 2 done)

PrunedKeptTotal
New74821769
Fresh14620
Picked011
Done314
Total76529794
Error
0.3b
Counts
794 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
59.4b
(*.f64 -1/2 (/.f64 b a))
54.9b
(*.f64 (-.f64 b b) (/.f64 1/2 a))
48.2b
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) 1/2)))
46.2b
(/.f64 1 (/.f64 (neg.f64 a) b))
46.2b
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
39.1b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
49.3b
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
49.9b
(/.f64 (exp.f64 (log.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)))) (*.f64 2 a))
46.2b
(/.f64 (neg.f64 b) a)
39.7b
(/.f64 1 (/.f64 (neg.f64 b) c))
44.8b
(/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2)))
49.3b
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a))
46.8b
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a))
46.3b
(-.f64 (/.f64 c b) (/.f64 b a))
46.0b
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
46.5b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
39.4b
(/.f64 (neg.f64 c) b)
42.8b
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a))
48.3b
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (pow.f64 (pow.f64 (*.f64 c -4) 1/4) 2)) b) b) (/.f64 1/2 a))
46.0b
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
46.0b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
43.1b
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
46.3b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 3)
47.6b
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
56.9b
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (sqrt.f64 (+.f64 a a))))
46.5b
(*.f64 (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2)) (/.f64 1/2 a))
50.0b
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a))
50.5b
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 (*.f64 c -4) 3/2))) b) b) (/.f64 1/2 a))
48.3b
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
Compiler

Compiled 835 to 610 computations (26.9% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.0b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
Compiler

Compiled 29 to 9 computations (69% saved)

series12.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
6.0ms
b
@-inf
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
2.0ms
c
@0
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
1.0ms
a
@0
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
1.0ms
a
@inf
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
1.0ms
b
@inf
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))

rewrite58.0ms (0.2%)

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))))))

simplify53.0ms (0.2%)

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))))))

localize5.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize15.0ms (0.1%)

Compiler

Compiled 19 to 6 computations (68.4% saved)

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a))
31.1b
(sqrt.f64 (*.f64 b b))
Compiler

Compiled 32 to 12 computations (62.5% saved)

series5.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a))
1.0ms
b
@-inf
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a))
1.0ms
b
@inf
(sqrt.f64 (*.f64 b b))
0.0ms
b
@0
(sqrt.f64 (*.f64 b b))
0.0ms
b
@-inf
(sqrt.f64 (*.f64 b b))

rewrite75.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
733×pow1_binary64
688×add-log-exp_binary64
687×log1p-expm1-u_binary64
687×expm1-log1p-u_binary64
673×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0911
11992
226132
Stop Event
node limit
Counts
2 → 23
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 b b))
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 b 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 b) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (cbrt.f64 b) 2)) (fabs.f64 (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 b 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b b) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 b) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 b 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 b)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x . b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 b))))))
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

simplify138.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0864
11364
21964
32564
43064
54064
64964
76264
87664
Stop Event
saturated
Counts
59 → 28
Calls
Call 1
Inputs
b
b
b
b
b
b
b
b
(*.f64 -1 b)
(*.f64 -1 b)
(*.f64 -1 b)
(*.f64 -1 b)
0
0
0
0
0
0
0
0
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
0
0
0
0
0
0
0
0
0
0
0
0
Outputs
b
b
b
b
b
b
b
b
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
0
0
0
0
0
0
0
0
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
0
0
0
0
0
0
0
0
0
0
0
0

localize83.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))))
0.2b
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
14.2b
(sqrt.f64 (*.f64 (*.f64 c -4) a))
Compiler

Compiled 60 to 40 computations (33.3% saved)

series96.0ms (0.4%)

Counts
3 → 28
Calls

24 calls:

TimeVariablePointExpression
25.0ms
b
@inf
(/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))))
10.0ms
c
@inf
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
8.0ms
c
@-inf
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
8.0ms
a
@inf
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
6.0ms
a
@-inf
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)

rewrite198.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
875×prod-diff_binary64
744×log-prod_binary64
353×fma-def_binary64
258×expm1-udef_binary64
258×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01448
130445
2401845
Stop Event
node limit
Counts
3 → 134
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 c -4) a))
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
(/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (cbrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (pow.f64 (*.f64 -4 a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 -4 a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a)))) (cbrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 b (*.f64 a -2)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a))) 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simplify107.0ms (0.4%)

Algorithm
egg-herbie
Rules
679×fma-def_binary64
642×times-frac_binary64
529×associate-*r*_binary64
517×associate-*l*_binary64
396×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0124965
1389746
21524688
37725688
Stop Event
node limit
Counts
162 → 162
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 b a))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 3)) (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 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2))))))
(*.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 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -4) (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))))) (pow.f64 b 2))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b)))))
(*.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 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -4) (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))))) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))))))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -2 (/.f64 a b))
(*.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 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3))))))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -2 (/.f64 a b))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))))
(*.f64 -2 (/.f64 a b))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))))
(*.f64 -2 (/.f64 a b))
Outputs
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(*.f64 1/2 (*.f64 (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 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (/.f64 -1/2 (/.f64 a b)))
(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 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) 0))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 3)) (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 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))))) (pow.f64 b 2))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) 0))
(*.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 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (/.f64 -1/2 (/.f64 a b)))
(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 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) 0))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -4) (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))))))) (pow.f64 b 2))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) b)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) 0))
(*.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 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (/.f64 -1/2 (/.f64 a b)))
(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 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) 0))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) a)) (pow.f64 (sqrt.f64 -4) 3))) (*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -4) (+.f64 (*.f64 -1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 1/2 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))))) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 1 (sqrt.f64 -4))) 0) (*.f64 b b)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4) (fma.f64 -1/2 (/.f64 b a) (*.f64 b (*.f64 b 0))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/2 (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) 0))
(*.f64 -1/2 (/.f64 b a))
(/.f64 (*.f64 -1/2 b) a)
(/.f64 -1/2 (/.f64 a b))
(*.f64 -2 (/.f64 a b))
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))))
(*.f64 2 (*.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 a c))))
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)))
(*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 2 (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 2 (+.f64 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 a c)))))
(fma.f64 2 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c)))
(fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 2 (sqrt.f64 -4)) (*.f64 -1/2 (/.f64 b c)))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3))))))
(fma.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (*.f64 2 (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 -4) 3))))))
(fma.f64 2 (+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (*.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))))) (*.f64 -1/2 (/.f64 b c)))
(fma.f64 -1/2 (/.f64 b c) (*.f64 2 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (*.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)))))
(+.f64 (*.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 (pow.f64 b 2) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 2 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 2 (/.f64 (pow.f64 b 3) (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4))) (*.f64 2 (+.f64 (*.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 -4) 3)))))))
(+.f64 (*.f64 -1/2 (/.f64 b c)) (*.f64 2 (+.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) (pow.f64 c 3))) (*.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))))) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 c (*.f64 a 16)))))))
(fma.f64 -1/2 (/.f64 b c) (fma.f64 2 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) (*.f64 (/.f64 b -4) (/.f64 b (sqrt.f64 -4))) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4))) (*.f64 (/.f64 (pow.f64 b 3) (*.f64 c c)) (/.f64 1/8 a))))
(*.f64 -2 (/.f64 a b))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))
(*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b)))
(*.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))
(fma.f64 -2 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b))))
(*.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a (*.f64 a -4)))))
(fma.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 8 (*.f64 a a))))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))))
(fma.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4))) (fma.f64 -2 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b)))))
(fma.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (*.f64 (sqrt.f64 -4) -4) (pow.f64 b 4))) (*.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a (*.f64 a -4))))))
(fma.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 8 (*.f64 a a)))))
(*.f64 -2 (/.f64 a b))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))
(*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b)))
(*.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b))))
(fma.f64 -2 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b))))
(*.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a (*.f64 a -4)))))
(fma.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 8 (*.f64 a a))))
(+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (*.f64 -2 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (*.f64 -2 (/.f64 a b)))))
(fma.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (pow.f64 (sqrt.f64 -4) 3) (pow.f64 b 4))) (fma.f64 -2 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (sqrt.f64 -4) 2) (*.f64 a a)))) (*.f64 -2 (+.f64 (*.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b))) (/.f64 a b)))))
(fma.f64 -2 (*.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 (*.f64 (sqrt.f64 -4) -4) (pow.f64 b 4))) (*.f64 -2 (+.f64 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 a (*.f64 a -4))))))
(fma.f64 -2 (fma.f64 (sqrt.f64 (*.f64 c (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (*.f64 b b)) (/.f64 a b)) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 5))) (/.f64 8 (/.f64 (pow.f64 b 4) (sqrt.f64 -4))) (*.f64 (/.f64 c (pow.f64 b 3)) (*.f64 8 (*.f64 a a)))))
(*.f64 -2 (/.f64 a b))

eval339.0ms (1.3%)

Compiler

Compiled 4844 to 3312 computations (31.6% saved)

prune194.0ms (0.8%)

Pruning

36 alts after pruning (31 fresh and 5 done)

PrunedKeptTotal
New22814242
Fresh51722
Picked101
Done156
Total23536271
Error
0.3b
Counts
271 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
46.0b
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2)
49.3b
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1)
46.2b
(/.f64 1 (/.f64 (neg.f64 a) b))
46.0b
(-.f64 (/.f64 b (*.f64 a -2)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2)))
44.5b
(*.f64 (-.f64 (*.f64 (fabs.f64 (pow.f64 (cbrt.f64 b) 2)) (fabs.f64 (cbrt.f64 b))) b) (/.f64 1/2 a))
48.1b
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
50.0b
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a))
46.2b
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
39.1b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
49.3b
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
49.9b
(/.f64 (exp.f64 (log.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)))) (*.f64 2 a))
51.0b
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3))
46.2b
(/.f64 (neg.f64 b) a)
39.7b
(/.f64 1 (/.f64 (neg.f64 b) c))
44.8b
(/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2)))
49.3b
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a))
46.0b
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
50.5b
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 (*.f64 c -4) 3/2))) b) b) (/.f64 1/2 a))
62.3b
(/.f64 b a)
46.8b
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a))
46.3b
(-.f64 (/.f64 c b) (/.f64 b a))
50.9b
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
46.5b
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
39.4b
(/.f64 (neg.f64 c) b)
42.8b
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a))
53.7b
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1)
48.3b
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (pow.f64 (pow.f64 (*.f64 c -4) 1/4) 2)) b) b) (/.f64 1/2 a))
46.0b
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
46.0b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
43.1b
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
46.3b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 3)
54.9b
0
49.5b
(/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 -4 a))) (*.f64 (*.f64 a -2) (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))
46.5b
(*.f64 (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2)) (/.f64 1/2 a))
39.4b
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
39.4b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)
Compiler

Compiled 1011 to 743 computations (26.5% saved)

localize62.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))
0.5b
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
18.7b
(cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))
Compiler

Compiled 51 to 15 computations (70.6% saved)

series215.0ms (0.8%)

Counts
3 → 36
Calls

27 calls:

TimeVariablePointExpression
46.0ms
a
@-inf
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
41.0ms
a
@0
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
34.0ms
c
@-inf
(cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))
25.0ms
c
@inf
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
10.0ms
c
@0
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)

rewrite171.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
632×log-prod_binary64
350×fma-def_binary64
337×pow2_binary64
229×pow1/3_binary64
229×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01245
127240
2374640
Stop Event
node limit
Counts
3 → 90
Calls
Call 1
Inputs
(cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
(/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2)) (cbrt.f64 (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)) 1/6) (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2)) (/.f64 1 (cbrt.f64 (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)) 1/6) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 a b) 2) (pow.f64 (/.f64 b c) 2))) (cbrt.f64 (+.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 b c) 3))) (cbrt.f64 (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 (cbrt.f64 (fma.f64 a c (neg.f64 (*.f64 b b)))) (cbrt.f64 (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.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))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 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 1 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -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 (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 *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2)) (*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) (pow.f64 (cbrt.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))) -1/2) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1/2) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))) (sqrt.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) 1) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1/2)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.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))) -2) (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2)) (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) 1) (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) -1) (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (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 1 (-.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 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cbrt.f64 (-.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 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.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))) -1/2) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2))) (/.f64 1 (cbrt.f64 (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)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.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))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/3 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/3 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 1))))))

simplify258.0ms (1%)

Algorithm
egg-herbie
Rules
750×distribute-lft-in_binary64
747×distribute-rgt-in_binary64
380×associate-*r*_binary64
377×fma-def_binary64
303×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03945791
113595546
253765363
Stop Event
node limit
Counts
126 → 146
Calls
Call 1
Inputs
(*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1))
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 b 11)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 b 11)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 7) (pow.f64 1 4)) (pow.f64 b 25)) 1/9) (*.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))))))
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 b 11)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) 1) (pow.f64 b 2)) 1/3) (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 11)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) 1) (pow.f64 b 11)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 7) (pow.f64 1 4)) (pow.f64 b 25)) 1/9) (*.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))))))
(pow.f64 (/.f64 a b) 1/3)
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/9))) (pow.f64 (/.f64 a b) 1/3))
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/9))) (+.f64 (pow.f64 (/.f64 a b) 1/3) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 7)) 1/9)))))
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/9))) (+.f64 (pow.f64 (/.f64 a b) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 b 11) (pow.f64 a 2)) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/3))) (pow.f64 c 3)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 2)) (pow.f64 a 2)) 1/3))) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 7)) 1/9))))))
(pow.f64 (/.f64 a b) 1/3)
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(*.f64 (pow.f64 (/.f64 (*.f64 c 1) b) 1/3) (cbrt.f64 -1))
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(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 2)) (pow.f64 c 2)) 1/3) (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 35) (pow.f64 1 4)) (pow.f64 b 53)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 a 2)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 16) (pow.f64 1 4)) (pow.f64 b 25)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (*.f64 (pow.f64 (/.f64 (*.f64 c 1) b) 1/3) (cbrt.f64 -1))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 2)) (pow.f64 c 2)) 1/3) (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 35) (pow.f64 1 4)) (pow.f64 b 53)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 a 2)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 16) (pow.f64 1 4)) (pow.f64 b 25)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 16) 1) (pow.f64 b 25)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 13) (pow.f64 1 4)) (pow.f64 b 22)) 1/9) (*.f64 (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 35) (pow.f64 1 4)) (pow.f64 b 53)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)))))) (pow.f64 a 3)) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 2)) (pow.f64 c 2)) 1/3))) (*.f64 (pow.f64 (/.f64 (*.f64 c 1) b) 1/3) (cbrt.f64 -1)))))
(pow.f64 (/.f64 b a) 1/3)
(+.f64 (pow.f64 (/.f64 b a) 1/3) (*.f64 1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/9))))
(+.f64 (pow.f64 (/.f64 b a) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))) (*.f64 1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/9)))))
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 7) (pow.f64 a 4))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 22)) (pow.f64 a 13)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) (*.f64 1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/3)))) (pow.f64 c 3)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))) (+.f64 (pow.f64 (/.f64 b a) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))) (*.f64 1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/9))))))
(pow.f64 (/.f64 b a) 1/3)
(+.f64 (pow.f64 (/.f64 b a) 1/3) (*.f64 1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/9))))
(+.f64 (pow.f64 (/.f64 b a) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))) (*.f64 1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/9)))))
(+.f64 (pow.f64 (/.f64 b a) 1/3) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 22)) (pow.f64 a 13)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) (*.f64 -1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/3)))) (pow.f64 c 3)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))) (*.f64 1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/9))))))
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1))
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 b 11)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)) 1/18) (pow.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 c (/.f64 (pow.f64 b 11) c)) 1/18) (pow.f64 (/.f64 c (/.f64 (pow.f64 b 11) c)) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1)))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (*.f64 c (/.f64 c (pow.f64 b 11))) 1/18) (pow.f64 (*.f64 c (/.f64 c (pow.f64 b 11))) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1)))
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 b 11)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 7) (pow.f64 1 4)) (pow.f64 b 25)) 1/9) (*.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))))))
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)) 1/18) (pow.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18)) (*.f64 (*.f64 a a) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))))))
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) a) (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) a))) (*.f64 (*.f64 (pow.f64 (/.f64 c (/.f64 (pow.f64 b 11) c)) 1/18) (pow.f64 (/.f64 c (/.f64 (pow.f64 b 11) c)) 1/18)) (*.f64 (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) 1/3))))
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) a) (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) a))) (*.f64 (*.f64 (pow.f64 (*.f64 c (/.f64 c (pow.f64 b 11))) 1/18) (pow.f64 (*.f64 c (/.f64 c (pow.f64 b 11))) 1/18)) (*.f64 (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) 1/3))))
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 b) c) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 1 4)) (pow.f64 b 11)) 1/9) (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) 1) (pow.f64 b 2)) 1/3) (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 11)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 2) 1) (pow.f64 b 11)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 c 7) (pow.f64 1 4)) (pow.f64 b 25)) 1/9) (*.f64 (pow.f64 a 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))))))
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)) 1/18) (pow.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (*.f64 c c) (*.f64 b b))) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (fma.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)))) (*.f64 (*.f64 1/27 (cbrt.f64 (/.f64 (*.f64 c c) (pow.f64 b 11)))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18)) (*.f64 (*.f64 a a) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))))))))
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 c (/.f64 (pow.f64 b 11) c)) 1/18) (pow.f64 (/.f64 c (/.f64 (pow.f64 b 11) c)) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) a) (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) a))) (*.f64 (cbrt.f64 (*.f64 (/.f64 c b) (/.f64 c b))) (*.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (/.f64 (cbrt.f64 (/.f64 c (/.f64 (pow.f64 b 11) c))) (pow.f64 (cbrt.f64 -1) 2)) -5/27)) -1/3)))))
(fma.f64 (cbrt.f64 (/.f64 b c)) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (*.f64 c (/.f64 c (pow.f64 b 11))) 1/18) (pow.f64 (*.f64 c (/.f64 c (pow.f64 b 11))) 1/18)) (*.f64 a (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) a) (*.f64 (pow.f64 (/.f64 (pow.f64 c 7) (pow.f64 b 25)) 1/18) a))) (*.f64 (cbrt.f64 (*.f64 c (/.f64 c (*.f64 b b)))) (*.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (/.f64 (cbrt.f64 (*.f64 c (/.f64 c (pow.f64 b 11)))) (pow.f64 (cbrt.f64 -1) 2)) -5/27)) -1/3)))))
(pow.f64 (/.f64 a b) 1/3)
(cbrt.f64 (/.f64 a b))
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/9))) (pow.f64 (/.f64 a b) 1/3))
(fma.f64 -1/3 (*.f64 (/.f64 1 c) (*.f64 (pow.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)) 1/18) (pow.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)) 1/18))) (cbrt.f64 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)) 1/18) (pow.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)) 1/18)) c) (cbrt.f64 (/.f64 a b)))
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/9))) (+.f64 (pow.f64 (/.f64 a b) 1/3) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 7)) 1/9)))))
(+.f64 (fma.f64 -1/3 (*.f64 (/.f64 1 c) (*.f64 (pow.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)) 1/18) (pow.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)) 1/18))) (cbrt.f64 (/.f64 a b))) (*.f64 (*.f64 -1/9 (/.f64 1 (*.f64 c c))) (*.f64 (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 7)) 1/18) (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 7)) 1/18))))
(fma.f64 -1/3 (/.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)) 1/18) (pow.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)) 1/18)) c) (fma.f64 -1/9 (/.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 7)) 1/18) (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 7)) 1/18)) (*.f64 c c)) (cbrt.f64 (/.f64 a b))))
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/9))) (+.f64 (pow.f64 (/.f64 a b) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 b 11) (pow.f64 a 2)) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/3))) (pow.f64 c 3)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 2)) (pow.f64 a 2)) 1/3))) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 7)) 1/9))))))
(+.f64 (fma.f64 -1/3 (*.f64 (/.f64 1 c) (*.f64 (pow.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)) 1/18) (pow.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)) 1/18))) (cbrt.f64 (/.f64 a b))) (fma.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 2/9 (cbrt.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 b 11) (*.f64 a a))) -1/27)) (pow.f64 c 3)) (cbrt.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (*.f64 -1/9 (/.f64 1 (*.f64 c c))) (*.f64 (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 7)) 1/18) (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 7)) 1/18)))))
(+.f64 (fma.f64 -1/3 (/.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)) 1/18) (pow.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)) 1/18)) c) (cbrt.f64 (/.f64 a b))) (fma.f64 -1/9 (/.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 7)) 1/18) (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 7)) 1/18)) (*.f64 c c)) (*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 b 11) (*.f64 a a))) 5/27) (pow.f64 c 3)) (*.f64 (cbrt.f64 (*.f64 b (/.f64 b (*.f64 a a)))) -1/3))))
(pow.f64 (/.f64 a b) 1/3)
(cbrt.f64 (/.f64 a b))
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 11)) (pow.f64 a 2)) 1/9))) (pow.f64 (/.f64 a b) 1/3))
(fma.f64 -1/3 (*.f64 (/.f64 1 c) (*.f64 (pow.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)) 1/18) (pow.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)) 1/18))) (cbrt.f64 (/.f64 a b)))
(fma.f64 -1/3 (/.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)) 1/18) (pow.f64 (/.f64 (pow.f64 b 11) (*.f64 a a)) 1/18)) c) (cbrt.f64 (/.f64 a b)))
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(+.f64 (pow.f64 (/.f64 b a) 1/3) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 22)) (pow.f64 a 13)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))) (*.f64 -1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/3)))) (pow.f64 c 3)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 53)) (pow.f64 a 35)) 1/9)) (*.f64 -1 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (pow.f64 c 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 b 2)) 1/3))) (*.f64 1/3 (*.f64 (/.f64 1 c) (pow.f64 (/.f64 (*.f64 1 (pow.f64 b 25)) (pow.f64 a 16)) 1/9))))))
(+.f64 (cbrt.f64 (/.f64 b a)) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (+.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (fma.f64 2/3 (*.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18) (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18)) (neg.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (*.f64 (pow.f64 (/.f64 (pow.f64 b 22) (pow.f64 a 13)) 1/18) (pow.f64 (/.f64 (pow.f64 b 22) (pow.f64 a 13)) 1/18))) (*.f64 -1/27 (cbrt.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)))))) (pow.f64 c 3))) (fma.f64 -1/3 (*.f64 (/.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18) (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18)) (neg.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)))) (*.f64 c c)) (cbrt.f64 (/.f64 (*.f64 a a) (*.f64 b b)))) (*.f64 (*.f64 1/3 (/.f64 1 c)) (*.f64 (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)) 1/18) (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)) 1/18))))))
(+.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 a b) (/.f64 a b))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (fma.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 (pow.f64 b 22) (pow.f64 a 13)) 1/18)) (pow.f64 (/.f64 (pow.f64 b 22) (pow.f64 a 13)) 1/18)) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18) (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18)) (/.f64 (neg.f64 (pow.f64 b 5)) (pow.f64 a 3))) (*.f64 -1/27 (cbrt.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)))))) (pow.f64 c 3))) (*.f64 -1/3 (/.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18) (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18)) (/.f64 (neg.f64 (pow.f64 b 5)) (pow.f64 a 3))) (*.f64 c c))))) (fma.f64 (/.f64 1/3 c) (*.f64 (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)) 1/18) (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)) 1/18)) (cbrt.f64 (/.f64 b a))))
(+.f64 (*.f64 (cbrt.f64 (*.f64 a (/.f64 a (*.f64 b b)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 4)) (fma.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 (pow.f64 b 22) (pow.f64 a 13)) 1/18)) (pow.f64 (/.f64 (pow.f64 b 22) (pow.f64 a 13)) 1/18)) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18) (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18)) (/.f64 (neg.f64 (pow.f64 b 5)) (pow.f64 a 3))) (*.f64 -1/27 (cbrt.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)))))) (pow.f64 c 3))) (*.f64 -1/3 (/.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18) (pow.f64 (/.f64 (pow.f64 b 53) (pow.f64 a 35)) 1/18)) (/.f64 (neg.f64 (pow.f64 b 5)) (pow.f64 a 3))) (*.f64 c c))))) (fma.f64 (/.f64 1/3 c) (*.f64 (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)) 1/18) (pow.f64 (/.f64 (pow.f64 b 25) (pow.f64 a 16)) 1/18)) (cbrt.f64 (/.f64 b a))))

localize4.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize79.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b)
5.4b
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a))
5.5b
(*.f64 (/.f64 2 b) (*.f64 c a))
Compiler

Compiled 59 to 30 computations (49.2% saved)

series31.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
11.0ms
b
@inf
(*.f64 (/.f64 2 b) (*.f64 c a))
1.0ms
b
@0
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a))
1.0ms
b
@inf
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a))
1.0ms
c
@0
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a))
1.0ms
a
@0
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a))

rewrite156.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
768×log-prod_binary64
636×fma-def_binary64
392×fma-neg_binary64
276×expm1-udef_binary64
276×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01348
130248
2427648
Stop Event
node limit
Counts
3 → 256
Calls
Call 1
Inputs
(*.f64 (/.f64 2 b) (*.f64 c a))
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a))
(-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (+.f64 b b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b)) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 a) (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b))) (*.f64 (/.f64 1/2 a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (+.f64 b b)))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (+.f64 b b)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (+.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) (+.f64 b b))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/2 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2 b) (*.f64 c a))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (*.f64 (/.f64 2 b) (*.f64 c a))) (sqrt.f64 b)) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b))) (sqrt.f64 b)) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b))) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (cbrt.f64 (*.f64 b b)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b))) (sqrt.f64 b)) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (fma.f64 (/.f64 2 b) (*.f64 c a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) a) c (neg.f64 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) a) c (-.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) a) c (neg.f64 (-.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (cbrt.f64 (*.f64 c a)) (neg.f64 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (cbrt.f64 (*.f64 c a)) (-.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (cbrt.f64 (*.f64 c a)) (neg.f64 (-.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) (sqrt.f64 (*.f64 c a))) (sqrt.f64 (*.f64 c a)) (neg.f64 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) (sqrt.f64 (*.f64 c a))) (sqrt.f64 (*.f64 c a)) (-.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 b) (sqrt.f64 (*.f64 c a))) (sqrt.f64 (*.f64 c a)) (neg.f64 (-.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 c a) (pow.f64 (cbrt.f64 (/.f64 2 b)) 2)) (cbrt.f64 (/.f64 2 b)) (neg.f64 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 c a) (pow.f64 (cbrt.f64 (/.f64 2 b)) 2)) (cbrt.f64 (/.f64 2 b)) (-.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 c a) (pow.f64 (cbrt.f64 (/.f64 2 b)) 2)) (cbrt.f64 (/.f64 2 b)) (neg.f64 (-.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 2 b))) (sqrt.f64 (/.f64 2 b)) (neg.f64 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 2 b))) (sqrt.f64 (/.f64 2 b)) (-.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 2 b))) (sqrt.f64 (/.f64 2 b)) (neg.f64 (-.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) 1) a (neg.f64 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) 1) a (-.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) 1) a (neg.f64 (-.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (neg.f64 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (-.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (neg.f64 (-.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) (sqrt.f64 a)) (sqrt.f64 a) (-.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 2 b) c) (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (-.f64 b (neg.f64 b))))))))

simplify388.0ms (1.5%)

Algorithm
egg-herbie
Rules
1032×fma-def_binary64
939×fma-neg_binary64
801×div-sub_binary64
426×times-frac_binary64
383×distribute-rgt-in_binary64
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
0161172
1291118
2561118
3911118
41381118
51981118
63141118
74171118
87831118
917701091
1042301091
1152881091
1261381091
1362811091
1463451091
1563451091
1678241091
Stop Event
node limit
Counts
364 → 267
Calls
Call 1
Inputs
(*.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 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.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 -2 b))
(*.f64 -2 b)
(+.f64 (*.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 -2 b))
(*.f64 -2 b)
(+.f64 (*.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 -2 b))
(*.f64 -2 b)
(+.f64 (*.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 -2 b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.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 -2 b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.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 -2 b))
(*.f64 -2 b)
(+.f64 (*.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 -2 b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.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 -2 b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.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 -2 b))
Outputs
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 c (*.f64 2 a)) b)
(*.f64 (/.f64 a b) (*.f64 2 c))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 a (/.f64 b c)))
(/.f64 a (/.f64 (/.f64 b c) 2))
(*.f64 (/.f64 c b) (*.f64 2 a))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 c (*.f64 2 a)) b)
(*.f64 (/.f64 a b) (*.f64 2 c))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 a (/.f64 b c)))
(/.f64 a (/.f64 (/.f64 b c) 2))
(*.f64 (/.f64 c b) (*.f64 2 a))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 c (*.f64 2 a)) b)
(*.f64 (/.f64 a b) (*.f64 2 c))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 a (/.f64 b c)))
(/.f64 a (/.f64 (/.f64 b c) 2))
(*.f64 (/.f64 c b) (*.f64 2 a))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 c (*.f64 2 a)) b)
(*.f64 (/.f64 a b) (*.f64 2 c))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 a (/.f64 b c)))
(/.f64 a (/.f64 (/.f64 b c) 2))
(*.f64 (/.f64 c b) (*.f64 2 a))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 c (*.f64 2 a)) b)
(*.f64 (/.f64 a b) (*.f64 2 c))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 a (/.f64 b c)))
(/.f64 a (/.f64 (/.f64 b c) 2))
(*.f64 (/.f64 c b) (*.f64 2 a))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 c (*.f64 2 a)) b)
(*.f64 (/.f64 a b) (*.f64 2 c))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 a (/.f64 b c)))
(/.f64 a (/.f64 (/.f64 b c) 2))
(*.f64 (/.f64 c b) (*.f64 2 a))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 c (*.f64 2 a)) b)
(*.f64 (/.f64 a b) (*.f64 2 c))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 a (/.f64 b c)))
(/.f64 a (/.f64 (/.f64 b c) 2))
(*.f64 (/.f64 c b) (*.f64 2 a))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 c (*.f64 2 a)) b)
(*.f64 (/.f64 a b) (*.f64 2 c))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 a (/.f64 b c)))
(/.f64 a (/.f64 (/.f64 b c) 2))
(*.f64 (/.f64 c b) (*.f64 2 a))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 c (*.f64 2 a)) b)
(*.f64 (/.f64 a b) (*.f64 2 c))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 a (/.f64 b c)))
(/.f64 a (/.f64 (/.f64 b c) 2))
(*.f64 (/.f64 c b) (*.f64 2 a))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 c (*.f64 2 a)) b)
(*.f64 (/.f64 a b) (*.f64 2 c))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 a (/.f64 b c)))
(/.f64 a (/.f64 (/.f64 b c) 2))
(*.f64 (/.f64 c b) (*.f64 2 a))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 c (*.f64 2 a)) b)
(*.f64 (/.f64 a b) (*.f64 2 c))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 a (/.f64 b c)))
(/.f64 a (/.f64 (/.f64 b c) 2))
(*.f64 (/.f64 c b) (*.f64 2 a))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 c (*.f64 2 a)) b)
(*.f64 (/.f64 a b) (*.f64 2 c))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 a (/.f64 b c)))
(/.f64 a (/.f64 (/.f64 b c) 2))
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(fma.f64 b -2 (/.f64 (*.f64 (*.f64 2 c) a) b))
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(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(*.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))
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(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
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(+.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 (*.f64 (*.f64 2 c) a) b))
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(+.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 (*.f64 (*.f64 2 c) a) b))
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
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(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
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(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(*.f64 -2 b)
(*.f64 b -2)
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(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
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(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
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(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
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(fma.f64 b -2 (/.f64 (*.f64 (*.f64 2 c) a) b))
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(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
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(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 c (*.f64 2 a)) b)
(*.f64 (/.f64 a b) (*.f64 2 c))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 a (/.f64 b c)))
(/.f64 a (/.f64 (/.f64 b c) 2))
(*.f64 (/.f64 c b) (*.f64 2 a))
(+.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 (*.f64 (*.f64 2 c) a) b))
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(+.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 (*.f64 (*.f64 2 c) a) b))
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(+.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 (*.f64 (*.f64 2 c) a) b))
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 c (*.f64 2 a)) b)
(*.f64 (/.f64 a b) (*.f64 2 c))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 a (/.f64 b c)))
(/.f64 a (/.f64 (/.f64 b c) 2))
(*.f64 (/.f64 c b) (*.f64 2 a))
(+.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 (*.f64 (*.f64 2 c) a) b))
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(+.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 (*.f64 (*.f64 2 c) a) b))
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(+.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 (*.f64 (*.f64 2 c) a) b))
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(*.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 (*.f64 (*.f64 2 c) a) b))
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(+.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 (*.f64 (*.f64 2 c) a) b))
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(+.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 (*.f64 (*.f64 2 c) a) b))
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 c (*.f64 2 a)) b)
(*.f64 (/.f64 a b) (*.f64 2 c))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 a (/.f64 b c)))
(/.f64 a (/.f64 (/.f64 b c) 2))
(*.f64 (/.f64 c b) (*.f64 2 a))
(+.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 (*.f64 (*.f64 2 c) a) b))
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(+.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 (*.f64 (*.f64 2 c) a) b))
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(+.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 (*.f64 (*.f64 2 c) a) b))
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (*.f64 2 c) a) b)
(/.f64 (*.f64 c (*.f64 2 a)) b)
(*.f64 (/.f64 a b) (*.f64 2 c))
(*.f64 c (*.f64 2 (/.f64 a b)))
(*.f64 2 (/.f64 a (/.f64 b c)))
(/.f64 a (/.f64 (/.f64 b c) 2))
(*.f64 (/.f64 c b) (*.f64 2 a))
(+.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 (*.f64 (*.f64 2 c) a) b))
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(+.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 (*.f64 (*.f64 2 c) a) b))
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))
(+.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 (*.f64 (*.f64 2 c) a) b))
(fma.f64 b -2 (/.f64 (*.f64 c (*.f64 2 a)) b))
(fma.f64 b -2 (*.f64 (/.f64 a b) (*.f64 2 c)))
(fma.f64 a (*.f64 2 (/.f64 c b)) (*.f64 b -2))
(fma.f64 2 (/.f64 (*.f64 c a) b) (*.f64 b -2))
(fma.f64 2 (/.f64 a (/.f64 b c)) (*.f64 b -2))
(*.f64 -2 (-.f64 b (*.f64 c (/.f64 a b))))
(*.f64 2 (-.f64 (*.f64 c (/.f64 a b)) b))
(*.f64 -2 (fma.f64 a (/.f64 c (neg.f64 b)) b))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2))
0.2b
(*.f64 c (*.f64 -4 a))
0.2b
(/.f64 b (*.f64 a -2))
14.2b
(sqrt.f64 (*.f64 c (*.f64 -4 a)))
Compiler

Compiled 56 to 37 computations (33.9% saved)

series13.0ms (0.1%)

Counts
4 → 48
Calls

24 calls:

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

rewrite151.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
715×log-prod_binary64
399×pow-prod-down_binary64
324×pow2_binary64
260×pow-unpow_binary64
229×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
125638
2340538
Stop Event
node limit
Counts
4 → 148
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 c (*.f64 -4 a)))
(/.f64 b (*.f64 a -2))
(*.f64 c (*.f64 -4 a))
(/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/6) (cbrt.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (*.f64 a c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -4 (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -4 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -4) a) c)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -4) a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -4) a) c))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -4) a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -4 (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (*.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -4) a) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -4 (*.f64 a c))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (/.f64 -1/2 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (/.f64 -1/2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (*.f64 -4 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-2) (/.f64 (sqrt.f64 (*.f64 -4 a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (sqrt.f64 (*.f64 -4 a)) (cbrt.f64 (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) (cbrt.f64 (*.f64 4 (*.f64 a a)))) (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) (cbrt.f64 (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) (sqrt.f64 (*.f64 a -2))) (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/6) (sqrt.f64 (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -2))) (/.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -4 (*.f64 a c)) (*.f64 4 (*.f64 a a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 a (sqrt.f64 (*.f64 -4 (*.f64 a c))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3/2) (pow.f64 (*.f64 a -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -2 (/.f64 a (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 -4 (*.f64 a c)) (*.f64 4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3/2) (pow.f64 (*.f64 a -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 -1/2 a))) 1))))))

simplify179.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
010336
117336
228336
334336
435336
Stop Event
saturated
Counts
196 → 151
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 c a))
Outputs
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -1/2 (/.f64 b a))
(/.f64 -1/2 (/.f64 a b))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))
(*.f64 -4 (*.f64 c a))
(*.f64 -4 (*.f64 a c))
(*.f64 a (*.f64 -4 c))

localize60.0ms (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))
0.3b
(pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)
14.8b
(pow.f64 (*.f64 (*.f64 c -4) a) 1/4)
Compiler

Compiled 66 to 45 computations (31.8% saved)

series356.0ms (1.4%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
129.0ms
c
@0
(pow.f64 (*.f64 (*.f64 c -4) a) 1/4)
49.0ms
a
@inf
(pow.f64 (*.f64 (*.f64 c -4) a) 1/4)
31.0ms
c
@-inf
(pow.f64 (*.f64 (*.f64 c -4) a) 1/4)
29.0ms
a
@-inf
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
27.0ms
a
@0
(pow.f64 (*.f64 (*.f64 c -4) a) 1/4)

rewrite125.0ms (0.5%)

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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simplify115.0ms (0.4%)

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))))))
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(*.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 (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 a)) (*.f64 -1 (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)) (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 a)) (*.f64 -1 (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)) (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 a)) (*.f64 -1 (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)) (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 a)) (*.f64 -1 (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)) (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)) (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))

eval819.0ms (3.2%)

Compiler

Compiled 20252 to 12928 computations (36.2% saved)

prune159.0ms (0.6%)

Pruning

42 alts after pruning (34 fresh and 8 done)

PrunedKeptTotal
New67719696
Fresh111526
Picked101
Done189
Total69042732
Error
0.1b
Counts
732 → 42
Alt Table
Click to see full alt table
StatusErrorProgram
50.3b
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (sqrt.f64 (*.f64 -4 a)) -2)))
62.3b
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a b))) 3)
39.4b
(/.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3))
46.0b
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2)
46.2b
(/.f64 1 (/.f64 (neg.f64 a) b))
53.7b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)) (*.f64 2 a))
39.7b
(pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3) 3)
53.6b
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) (*.f64 2 a))
55.2b
(/.f64 c b)
50.9b
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
39.4b
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))
46.0b
(-.f64 (/.f64 b (*.f64 a -2)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2)))
46.5b
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) b) b) (/.f64 1/2 a))
48.1b
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
50.0b
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a))
49.3b
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
49.9b
(/.f64 (exp.f64 (log.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)))) (*.f64 2 a))
39.1b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
46.8b
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b 1/2)) b) b) (/.f64 1/2 a))
46.2b
(/.f64 (neg.f64 b) a)
46.8b
(*.f64 (-.f64 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) b) (/.f64 1/2 a))
49.3b
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 3))
39.7b
(/.f64 1 (/.f64 (neg.f64 b) c))
44.8b
(/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2)))
49.3b
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a))
62.3b
(pow.f64 (cbrt.f64 (/.f64 b a)) 3)
46.0b
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
62.3b
(/.f64 b a)
46.2b
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
46.3b
(-.f64 (/.f64 c b) (/.f64 b a))
46.8b
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a))
39.4b
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
39.4b
(/.f64 (neg.f64 c) b)
42.8b
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a))
48.3b
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (pow.f64 (pow.f64 (*.f64 c -4) 1/4) 2)) b) b) (/.f64 1/2 a))
46.0b
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
54.1b
(*.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))
54.9b
0
49.5b
(/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 -4 a))) (*.f64 (*.f64 a -2) (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))
46.0b
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 -1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 a c)))))
54.5b
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b)) a) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b)) 2))
43.1b
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
Compiler

Compiled 649 to 465 computations (28.4% saved)

regimes1.8s (7.2%)

Counts
81 → 5
Calls
Call 1
Inputs
0
(/.f64 c b)
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a))
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) b) b) (/.f64 1/2 a))
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b 1/2)) b) b) (/.f64 1/2 a))
(*.f64 (-.f64 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) b) (/.f64 1/2 a))
(/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2)))
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2)
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 -1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 a c)))))
(-.f64 (/.f64 b (*.f64 a -2)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2)))
(*.f64 (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2)) (/.f64 1/2 a))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 -4 a))) (*.f64 (*.f64 a -2) (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))
(pow.f64 (cbrt.f64 (/.f64 b a)) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a b))) 3)
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 3))
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
(/.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3))
(/.f64 (exp.f64 (log.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)))) (*.f64 2 a))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)))
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (sqrt.f64 (*.f64 -4 a)) -2)))
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
(/.f64 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b))) (*.f64 2 a))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3))
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1)
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 3)
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) 1/2)))
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.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 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2))) (*.f64 2 a))
(*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (sqrt.f64 (+.f64 a a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a))
(pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3) 3)
(*.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) b) (/.f64 1/2 a))
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 (*.f64 c -4) 3/2))) b) b) (/.f64 1/2 a))
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (pow.f64 (pow.f64 (*.f64 c -4) 1/4) 2)) b) b) (/.f64 1/2 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 (-.f64 (*.f64 (fabs.f64 (pow.f64 (cbrt.f64 b) 2)) (fabs.f64 (cbrt.f64 b))) b) (/.f64 1/2 a))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b)) a) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b)) 2))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a))
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a))
(/.f64 (neg.f64 c) b)
Calls

5 calls:

791.0ms
c
457.0ms
a
293.0ms
b
158.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
107.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
Results
ErrorSegmentsBranch
22.3b8a
9.2b5b
21.4b11c
14.0b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
14.0b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
Compiler

Compiled 1134 to 649 computations (42.8% saved)

bsearch369.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
131.0ms
3.578855098262083e-64
2.42839220699169e-55
40.0ms
6.575670088517655e-243
4.6419380103729e-230
37.0ms
-5.313242367827225e-252
-2.6057028874078343e-258
160.0ms
-6089270135047660.0
-1575393226950.9604
Compiler

Compiled 1663 to 1170 computations (29.6% saved)

regimes1.5s (5.9%)

Counts
72 → 5
Calls
Call 1
Inputs
0
(/.f64 c b)
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a))
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) b) b) (/.f64 1/2 a))
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b 1/2)) b) b) (/.f64 1/2 a))
(*.f64 (-.f64 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) b) (/.f64 1/2 a))
(/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2)))
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2)
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 -1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 a c)))))
(-.f64 (/.f64 b (*.f64 a -2)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2)))
(*.f64 (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2)) (/.f64 1/2 a))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 -4 a))) (*.f64 (*.f64 a -2) (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))
(pow.f64 (cbrt.f64 (/.f64 b a)) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a b))) 3)
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 3))
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
(/.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3))
(/.f64 (exp.f64 (log.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)))) (*.f64 2 a))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)))
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (sqrt.f64 (*.f64 -4 a)) -2)))
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
(/.f64 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b))) (*.f64 2 a))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3))
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1)
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a))) (*.f64 a -2))) 3)
(*.f64 (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b) (/.f64 1/2 a))
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) 1/2)))
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) b) (/.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 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))) 3/2))) (*.f64 2 a))
(*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2) b) (/.f64 1/2 a))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) (sqrt.f64 (+.f64 a a))))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (neg.f64 c) b)
Calls

5 calls:

586.0ms
a
464.0ms
c
228.0ms
b
106.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
96.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
Results
ErrorSegmentsBranch
22.3b8a
9.2b5b
21.4b11c
14.1b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
14.1b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
Compiler

Compiled 947 to 544 computations (42.6% saved)

bsearch727.0ms (2.8%)

Algorithm
binary-search
Steps
TimeLeftRight
212.0ms
3.578855098262083e-64
2.42839220699169e-55
69.0ms
6.575670088517655e-243
4.6419380103729e-230
68.0ms
-5.313242367827225e-252
-2.6057028874078343e-258
377.0ms
-6089270135047660.0
-1575393226950.9604
Compiler

Compiled 1303 to 954 computations (26.8% saved)

regimes1.2s (4.9%)

Counts
62 → 5
Calls
Call 1
Inputs
0
(/.f64 c b)
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a))
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) b) b) (/.f64 1/2 a))
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b 1/2)) b) b) (/.f64 1/2 a))
(*.f64 (-.f64 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) b) (/.f64 1/2 a))
(/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2)))
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2)
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 -1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 a c)))))
(-.f64 (/.f64 b (*.f64 a -2)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2)))
(*.f64 (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2)) (/.f64 1/2 a))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 -4 a))) (*.f64 (*.f64 a -2) (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))
(pow.f64 (cbrt.f64 (/.f64 b a)) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a b))) 3)
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 3))
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
(/.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3))
(/.f64 (exp.f64 (log.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)))) (*.f64 2 a))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
(pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 c -4) a)))) -1)
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 3/2))) (*.f64 2 a))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 c -4) a) 1/4) 2)) (*.f64 2 a))
(/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1) (*.f64 2 a))
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b) 1/2)))
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (sqrt.f64 (*.f64 -4 a)) -2)))
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a)) (*.f64 (neg.f64 b) (/.f64 1/2 a)))
(/.f64 (*.f64 -2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a) (/.f64 (*.f64 c a) b))) (*.f64 2 a))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))))) 3))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (neg.f64 c) b)
Calls

5 calls:

521.0ms
c
307.0ms
a
179.0ms
b
118.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
80.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
Results
ErrorSegmentsBranch
22.7b10a
9.2b5b
22.3b11c
14.1b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
14.1b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
Compiler

Compiled 779 to 437 computations (43.9% saved)

bsearch738.0ms (2.9%)

Algorithm
binary-search
Steps
TimeLeftRight
247.0ms
3.578855098262083e-64
2.42839220699169e-55
64.0ms
6.575670088517655e-243
4.6419380103729e-230
146.0ms
-5.313242367827225e-252
-2.6057028874078343e-258
280.0ms
-6089270135047660.0
-1575393226950.9604
Compiler

Compiled 1284 to 935 computations (27.2% saved)

regimes2.9s (11.3%)

Counts
51 → 3
Calls
Call 1
Inputs
0
(/.f64 c b)
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a))
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) b) b) (/.f64 1/2 a))
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b 1/2)) b) b) (/.f64 1/2 a))
(*.f64 (-.f64 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) b) (/.f64 1/2 a))
(/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2)))
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2)
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 -1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 a c)))))
(-.f64 (/.f64 b (*.f64 a -2)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2)))
(*.f64 (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2)) (/.f64 1/2 a))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 -4 a))) (*.f64 (*.f64 a -2) (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)))
(pow.f64 (cbrt.f64 (/.f64 b a)) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a b))) 3)
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) 3))
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
(/.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3))
(/.f64 (exp.f64 (log.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)))) (*.f64 2 a))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) (*.f64 2 a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (neg.f64 c) b)
Calls

5 calls:

1.1s
c
945.0ms
a
538.0ms
b
191.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
71.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
Results
ErrorSegmentsBranch
27.3b9a
10.6b3b
24.1b12c
14.1b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
14.1b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
Compiler

Compiled 602 to 330 computations (45.2% saved)

bsearch308.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
134.0ms
3.578855098262083e-64
2.42839220699169e-55
174.0ms
-6089270135047660.0
-1575393226950.9604
Compiler

Compiled 543 to 384 computations (29.3% saved)

regimes506.0ms (2%)

Counts
37 → 3
Calls
Call 1
Inputs
0
(/.f64 c b)
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a))
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) b) b) (/.f64 1/2 a))
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b 1/2)) b) b) (/.f64 1/2 a))
(*.f64 (-.f64 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) b) (/.f64 1/2 a))
(/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2)))
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2)
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 -1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 a c)))))
(-.f64 (/.f64 b (*.f64 a -2)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2)))
(*.f64 (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2)) (/.f64 1/2 a))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

226.0ms
c
203.0ms
a
60.0ms
b
Results
ErrorSegmentsBranch
27.4b10a
10.6b3b
25.7b12c
Compiler

Compiled 390 to 225 computations (42.3% saved)

bsearch285.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
124.0ms
3.578855098262083e-64
2.42839220699169e-55
160.0ms
-6089270135047660.0
-1575393226950.9604
Compiler

Compiled 526 to 367 computations (30.2% saved)

regimes517.0ms (2%)

Counts
36 → 3
Calls
Call 1
Inputs
0
(/.f64 c b)
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 -2 (/.f64 (/.f64 b c) a)) (*.f64 2 a))
(*.f64 (*.f64 (/.f64 -2 b) (*.f64 c a)) (/.f64 1/2 a))
(/.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 a))
(/.f64 (/.f64 (*.f64 -2 c) (/.f64 b a)) (*.f64 2 a))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) b) b) (/.f64 1/2 a))
(*.f64 (-.f64 (-.f64 (/.f64 (*.f64 c a) (*.f64 b 1/2)) b) b) (/.f64 1/2 a))
(*.f64 (-.f64 (-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b) b) (/.f64 1/2 a))
(/.f64 1 (/.f64 a (*.f64 (/.f64 1/2 (/.f64 b (*.f64 a (*.f64 c -4)))) 1/2)))
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b) b) (/.f64 1/2 a))
(/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (*.f64 2 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (/.f64 1/2 a))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2)
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 c -4) a)) b) a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(-.f64 (/.f64 b (*.f64 a -2)) (*.f64 (/.f64 -1/2 a) (sqrt.f64 (*.f64 -4 (*.f64 a c)))))
(-.f64 (/.f64 b (*.f64 a -2)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 a -2)))
(*.f64 (fma.f64 -1/2 (*.f64 (*.f64 -4 (/.f64 c b)) a) (*.f64 b -2)) (/.f64 1/2 a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2)
(/.f64 (neg.f64 c) b)
Calls

3 calls:

331.0ms
a
92.0ms
b
81.0ms
c
Results
ErrorSegmentsBranch
33.1b10a
12.1b3b
33.3b5c
Compiler

Compiled 374 to 217 computations (42% saved)

bsearch228.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
163.0ms
3.578855098262083e-64
2.42839220699169e-55
65.0ms
-3.503392325488546e-69
-7.529114573712174e-71
Compiler

Compiled 431 to 314 computations (27.1% saved)

regimes202.0ms (0.8%)

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

3 calls:

92.0ms
a
75.0ms
c
27.0ms
b
Results
ErrorSegmentsBranch
35.2b6a
22.9b2b
35.9b5c
Compiler

Compiled 263 to 144 computations (45.2% saved)

bsearch48.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
48.0ms
-7.055550237231443e-266
-4.298158151089885e-274
Compiler

Compiled 242 to 163 computations (32.6% saved)

regimes337.0ms (1.3%)

Counts
15 → 2
Calls
Call 1
Inputs
0
(/.f64 c b)
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b b) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(neg.f64 (/.f64 c (*.f64 a (/.f64 b a))))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (neg.f64 c) b)
Calls

3 calls:

171.0ms
a
142.0ms
c
18.0ms
b
Results
ErrorSegmentsBranch
35.6b6a
23.0b2b
34.6b9c
Compiler

Compiled 97 to 51 computations (47.4% saved)

bsearch61.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
60.0ms
-1.7559595417701517e-304
-1.1269570309735567e-307
Compiler

Compiled 178 to 123 computations (30.9% saved)

regimes169.0ms (0.7%)

Counts
10 → 2
Calls
Call 1
Inputs
0
(/.f64 c b)
(/.f64 b a)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(*.f64 -1/2 (/.f64 b a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
(*.f64 (*.f64 b -2) (/.f64 1/2 a))
Outputs
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
Calls

3 calls:

104.0ms
c
43.0ms
a
18.0ms
b
Results
ErrorSegmentsBranch
35.7b6a
23.0b2b
34.6b9c
Compiler

Compiled 61 to 38 computations (37.7% saved)

bsearch62.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
62.0ms
1.2015892780092275e-278
1.7900162886927156e-272
Compiler

Compiled 170 to 127 computations (25.3% saved)

regimes16.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
0
(/.f64 c b)
(/.f64 b a)
(/.f64 (neg.f64 c) b)
Outputs
(/.f64 (neg.f64 c) b)
Calls

3 calls:

6.0ms
b
4.0ms
c
4.0ms
a
Results
ErrorSegmentsBranch
39.4b1a
39.4b1b
39.4b1c
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes13.0ms (0%)

Accuracy

Total -8.1b remaining (-14.8%)

Threshold costs -8.1b (-14.8%)

Counts
3 → 1
Calls
Call 1
Inputs
0
(/.f64 c b)
(/.f64 b a)
Outputs
0
Calls

3 calls:

4.0ms
a
4.0ms
b
4.0ms
c
Results
ErrorSegmentsBranch
54.9b1a
54.9b1b
54.9b1c
Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify54.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
099600
1142584
2186584
3208584
4220584
5222584
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a)) (if (<=.f64 b 811820827772699008/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b 811820827772699008/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b 811820827772699008/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -37796565967143784/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) -2) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -8575876330031999/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))))
(if (<=.f64 b -1454766195646295/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (neg.f64 c) b))
(if (<=.f64 b 3895880284211773/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
0
Outputs
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a)) (if (<=.f64 b 811820827772699008/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 a c))))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 c a))))))) (*.f64 a 2)) (if (<=.f64 b 6342350216974211/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))))) -1) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 c a))))))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 c a)))))) b) (*.f64 a 2)) (if (<=.f64 b 6342350216974211/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))))) -1) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (fma.f64 c (*.f64 a -4) (*.f64 4 (*.f64 c a)))))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b 811820827772699008/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))))) -1) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (*.f64 a 2)) (if (<=.f64 b 6342350216974211/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))))) -1) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2)) (if (<=.f64 b 6342350216974211/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (pow.f64 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))))) -1) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (if (<=.f64 b 811820827772699008/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))) (*.f64 2 a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (*.f64 a 2)) (if (<=.f64 b 6342350216974211/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4)))) (*.f64 a 2)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b -5734320158758965/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2)) (if (<=.f64 b 6342350216974211/960962154087001629436308185025184878247905227974336452694771122017616840015261658617268505418282416748614914455642299215255384405286687137505466996049907860485085046091635529899088428785810612776957410293491536147754283397719630991265870577566668501257551872) (/.f64 (-.f64 (*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))) b) (*.f64 a 2)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -1600000000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -209715200000000000/131072) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2667849736027765/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))) b) (/.f64 1/2 a)) (/.f64 (neg.f64 c) b)))
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(if (<=.f64 b 3895880284211773/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b))
(if (<=.f64 b 3895880284211773/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (neg.f64 (/.f64 b a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
0
Compiler

Compiled 426 to 273 computations (35.9% saved)

soundness1.0s (3.9%)

Algorithm
egg-herbie
Rules
981×fma-def_binary64
981×fma-def_binary64
978×times-frac_binary64
978×fma-def_binary64
919×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01526
13322
27222
316322
426622
543522
674722
7133422
8270422
9410022
10572422
11642922
12708522
13717322
14773522
15787722
01461093
1423893
21543854
36630854
01271929
13971849
213751750
378281750
01526
13322
27222
316322
426622
543522
674722
7133422
8270422
9410022
10572422
11642922
12708522
13717322
14773522
15787722
01842477
15822367
221172202
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1024 to 732 computations (28.5% saved)

end251.0ms (1%)

Compiler

Compiled 396 to 198 computations (50% saved)

Profiling

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