Details

Time bar (total: 21.6s)

analyze1.2s (5.5%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
0%0%93.6%0.1%0%6.2%0%7
6.7%6.2%87.4%0.1%0%6.2%0%8
11.1%10.1%81.1%0.1%0%8.6%0%9
18%15.6%71%0.1%0%13.3%0%10
25.9%22%63%0.1%0.8%14%0%11
35.5%29.1%52.9%0.1%1.6%16.4%0%12
Compiler

Compiled 21 to 15 computations (28.6% saved)

sample3.8s (17.4%)

Results
1.5s5566×body256valid
769.0ms430×body4096valid
691.0ms1146×body2048valid
363.0ms747×body1024valid
204.0ms367×body512valid
181.0ms1095×body256invalid
89.0ms524×body256infinite
Bogosity

preprocess74.0ms (0.3%)

Algorithm
egg-herbie
Rules
551×associate-/l*_binary64
461×fma-neg_binary64
449×div-sub_binary64
441×associate-/r*_binary64
321×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039104
111596
230896
378488
4148388
5284788
6657088
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 4 (*.f64 b c))))) (*.f64 2 b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 2 c))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 a b))))) (*.f64 2 a))
Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) a))
(*.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 4 (*.f64 b c))))) (*.f64 2 b))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 4 (*.f64 b c))))) (*.f64 b 2))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (*.f64 (*.f64 b c) -4)))) (*.f64 b 2))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -4))))) (*.f64 b 2))
(*.f64 -1/2 (/.f64 (+.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) b))
(*.f64 (/.f64 -1/2 b) (+.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))))
(*.f64 (+.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) (/.f64 -1/2 b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 2 c))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 c 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (*.f64 c 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) (*.f64 c 2))
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) c))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 a b))))) (*.f64 2 a))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 b a))))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (*.f64 (*.f64 b a) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 (*.f64 b a) -4 (*.f64 c c)))) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (+.f64 c (sqrt.f64 (fma.f64 c c (*.f64 (*.f64 b a) -4)))) a))
(*.f64 (/.f64 -1/2 a) (+.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))))
(*.f64 (+.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))) (/.f64 -1/2 a))
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify135.0ms (0.6%)

Algorithm
egg-herbie
Rules
1217×fma-neg_binary64
846×fma-def_binary64
776×div-sub_binary64
405×times-frac_binary64
325×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01526
13824
210024
325922
446122
584022
6179322
7301022
8370122
9476122
10649122
11746122
12758722
13768222
14771422
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) a))
(*.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b)))) (/.f64 -1/2 a))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

eval1.0ms (0%)

Compiler

Compiled 35 to 23 computations (34.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
31.6b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
31.7b
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
31.7b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 38 to 26 computations (31.6% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
0.7b
(fma.f64 b b (*.f64 a (*.f64 c -4)))
1.5b
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))))
20.6b
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
Compiler

Compiled 62 to 36 computations (41.9% saved)

series26.0ms (0.1%)

Counts
4 → 96
Calls

36 calls:

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

rewrite89.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
955×prod-diff_binary64
667×log-prod_binary64
286×fma-def_binary64
247×expm1-udef_binary64
247×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01362
128059
2365559
Stop Event
node limit
Counts
4 → 161
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (/.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2)) (/.f64 1 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (-.f64 (fma.f64 b b (fma.f64 a (*.f64 c -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c 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(/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (*.f64 (/.f64 -1/2 a) b))))))

simplify163.0ms (0.8%)

Algorithm
egg-herbie
Rules
665×fma-def_binary64
609×fma-neg_binary64
573×associate-*r*_binary64
570×times-frac_binary64
534×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01462203
14402105
214801988
371501952
Stop Event
node limit
Counts
257 → 235
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 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 2 b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(*.f64 2 b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 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)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(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 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
(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 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4)))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b 5) -4)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b)
(-.f64 (*.f64 (/.f64 c b) (*.f64 a 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 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b)))
(-.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) b)
(-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b))))
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (neg.f64 b))))
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 (/.f64 4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) b)
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3))) b)
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4)))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b 5) -4)))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) 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 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 -2 (/.f64 b (*.f64 c a)))) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) b))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -4)))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b) (/.f64 (pow.f64 (*.f64 c a) 3) (/.f64 (pow.f64 b 5) -4)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(+.f64 b (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)) b))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(+.f64 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 -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)))))
(+.f64 (*.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) (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)) b)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32) (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)) 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 -2 (/.f64 b (*.f64 c a))))
(fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 a -2)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a)))))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a))))))
(fma.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2)))
(fma.f64 -4 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a 2))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(*.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3))))
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))))
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(+.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 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (neg.f64 (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 -1/4 a) (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (-.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 -1/4 a) (-.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
0.6b
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
1.5b
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
20.6b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
Compiler

Compiled 73 to 32 computations (56.2% saved)

series16.0ms (0.1%)

Counts
4 → 96
Calls

36 calls:

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

rewrite161.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
750×fma-def_binary64
382×fma-neg_binary64
283×expm1-udef_binary64
283×log1p-udef_binary64
229×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01574
134762
2512659
Stop Event
node limit
Counts
4 → 394
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (*.f64 (pow.f64 (*.f64 a c) 3) 64))) (sqrt.f64 (fma.f64 (*.f64 4 (*.f64 a c)) (fma.f64 4 (*.f64 a c) (*.f64 b b)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 a c) 2) 16))) (hypot.f64 b (*.f64 2 (sqrt.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 4 (*.f64 a c)))) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (*.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (+.f64 (neg.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) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (*.f64 a 2))) (/.f64 (cbrt.f64 b) (sqrt.f64 (*.f64 a 2))) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 (*.f64 a 2))) (/.f64 (sqrt.f64 b) (sqrt.f64 (*.f64 a 2))) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sqrt.f64 (*.f64 a 2))) (/.f64 b (sqrt.f64 (*.f64 a 2))) (neg.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) (/.f64 1/2 a))))))))

simplify127.0ms (0.6%)

Algorithm
egg-herbie
Rules
708×fma-neg_binary64
706×fma-def_binary64
596×associate-*r*_binary64
579×times-frac_binary64
561×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01512214
14622111
215642000
374912000
Stop Event
node limit
Counts
490 → 470
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)))
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 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 -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 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 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 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)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) 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 (*.f64 c a) b)))))
(+.f64 (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)) (/.f64 -4 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))
(+.f64 b (fma.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))))))
(*.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))
(fma.f64 2 (*.f64 (/.f64 c b) a) (neg.f64 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 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))) b)
(-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) 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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) b))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) 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 (*.f64 c a) b)))))
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b
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(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(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 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(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 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(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 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4))
(fma.f64 (*.f64 c a) -4 (*.f64 b b))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) -1/2))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))))))
(fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))))))))
(+.f64 (fma.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (*.f64 -1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) (*.f64 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))))) -1/64))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (/.f64 (neg.f64 b) a))))
(+.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 b) a)) (+.f64 (/.f64 c b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (neg.f64 (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)))))
(-.f64 (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (*.f64 -2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(fma.f64 -1/4 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) a) (pow.f64 b 7)) (-.f64 (*.f64 -2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (/.f64 (neg.f64 b) a))))
(+.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 b) a)) (+.f64 (/.f64 c b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (/.f64 (neg.f64 b) a))))
(+.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 b) a)) (+.f64 (/.f64 c b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))

eval444.0ms (2.1%)

Compiler

Compiled 19038 to 11081 computations (41.8% saved)

prune155.0ms (0.7%)

Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New68025705
Fresh000
Picked101
Done101
Total68225707
Error
5.8b
Counts
707 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
55.3b
(exp.f64 (log.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))))
46.2b
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
31.6b
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
46.6b
(*.f64 (/.f64 1/2 a) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
43.3b
(-.f64 (/.f64 c b) (/.f64 b a))
48.1b
(*.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a))
58.0b
(*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
45.5b
(/.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))
58.1b
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
41.6b
(/.f64 (neg.f64 c) b)
42.6b
(*.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
44.2b
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
42.6b
(/.f64 (-.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2))) (*.f64 2 a))
44.8b
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
33.7b
(*.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
47.8b
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
31.7b
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
43.3b
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
32.6b
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)) (*.f64 2 a))
43.2b
(/.f64 (neg.f64 b) a)
36.8b
(*.f64 (+.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
44.8b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
32.7b
(*.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
45.2b
(/.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
44.7b
(*.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
Compiler

Compiled 842 to 588 computations (30.2% saved)

localize72.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
0.1b
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
0.9b
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
13.9b
(sqrt.f64 (*.f64 a (*.f64 c -4)))
Compiler

Compiled 83 to 54 computations (34.9% saved)

series401.0ms (1.9%)

Counts
4 → 42
Calls

33 calls:

TimeVariablePointExpression
191.0ms
a
@-inf
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
97.0ms
a
@0
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
20.0ms
c
@-inf
(/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
11.0ms
c
@inf
(/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
7.0ms
a
@inf
(/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))

rewrite124.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
796×log-prod_binary64
689×prod-diff_binary64
275×expm1-udef_binary64
275×log1p-udef_binary64
243×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01569
132366
2423766
Stop Event
node limit
Counts
4 → 169
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a (*.f64 c -4)))
(+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
(/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))
Outputs
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simplify115.0ms (0.5%)

Algorithm
egg-herbie
Rules
807×associate-/r*_binary64
635×unswap-sqr_binary64
415×associate-*l/_binary64
367×associate-*r/_binary64
248×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02171823
16731443
227871382
371851375
Stop Event
node limit
Counts
211 → 240
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 2 b)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(*.f64 2 b)
(*.f64 2 b)
(*.f64 -1 (/.f64 b a))
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.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 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 -1 (/.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 (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 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 (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 -1 (*.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 (*.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 -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))))))
(*.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))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 b 1/2) (/.f64 (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 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 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))) b))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -4) b)))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -4) -4))) b))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))
(fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2))
(fma.f64 b 2 (*.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4))))
(fma.f64 b 2 (*.f64 (/.f64 (*.f64 1/2 c) (/.f64 b a)) -4))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2)))
(+.f64 (fma.f64 b 2 (*.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4)))) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)))
(+.f64 (fma.f64 b 2 (*.f64 (/.f64 (*.f64 1/2 c) (/.f64 b a)) -4)) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))))
(fma.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -64)) (fma.f64 b 2 (*.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -4))))))
(+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) (pow.f64 b 3)) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) (fma.f64 b 2 (*.f64 (/.f64 (*.f64 1/2 c) (/.f64 b a)) -4))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(/.f64 (*.f64 -1/2 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) b)
(*.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2)
(*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (/.f64 (*.f64 -1/2 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) b))
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a (*.f64 a 16)))) 1/8) (pow.f64 b 3)))
(fma.f64 (*.f64 (*.f64 (/.f64 c b) -4) a) -1/2 (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) -1/16)))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -64)) -1/16)))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (fma.f64 (*.f64 (*.f64 (/.f64 c b) -4) a) -1/2 (*.f64 (/.f64 -1/16 (pow.f64 b 5)) (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -64)))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (*.f64 1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -4)) -1/2 (fma.f64 1/2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -2) 2)) (pow.f64 b 7)) (*.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -64)) -1/16))))
(fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a (*.f64 a 16))) 1/8 (fma.f64 (*.f64 (*.f64 (/.f64 c b) -4) a) -1/2 (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 256) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (*.f64 (/.f64 -1/16 (pow.f64 b 5)) (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -64))))))
(*.f64 2 b)
(*.f64 b 2)
(*.f64 2 b)
(*.f64 b 2)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
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(/.f64 (neg.f64 b) c)
(+.f64 (/.f64 a b) (*.f64 4 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (/.f64 a b) (/.f64 (*.f64 4 b) (*.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (/.f64 (neg.f64 b) c))
(-.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 a b) (/.f64 (*.f64 4 b) (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c))))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c (*.f64 a a)) -1/2) (pow.f64 b 3)) (+.f64 (/.f64 a b) (/.f64 (neg.f64 b) c)))
(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 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 (*.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 c (*.f64 c (*.f64 a 16)))) (fma.f64 1/4 (*.f64 c (*.f64 a (*.f64 (*.f64 (*.f64 a a) (*.f64 c -4)) -1/2))) (*.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) 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 a (*.f64 c (*.f64 (*.f64 -4 (*.f64 c (*.f64 a a))) -1/2))) (*.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 a b) (-.f64 (*.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 a (*.f64 c (*.f64 (*.f64 -4 (*.f64 c (*.f64 a a))) -1/2))) (*.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 b c)))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)

localize5.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
4.6b
(*.f64 (/.f64 c b) (*.f64 a 2))
9.3b
(*.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
Compiler

Compiled 35 to 19 computations (45.7% saved)

series20.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
c
@0
(*.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
1.0ms
b
@inf
(*.f64 (/.f64 c b) (*.f64 a 2))
1.0ms
c
@0
(*.f64 (/.f64 c b) (*.f64 a 2))
1.0ms
c
@inf
(*.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
1.0ms
b
@0
(*.f64 (/.f64 c b) (*.f64 a 2))

rewrite139.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
649×log-prod_binary64
433×pow-prod-down_binary64
311×pow2_binary64
264×pow-unpow_binary64
222×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01126
124023
2315623
Stop Event
node limit
Counts
2 → 73
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
(*.f64 (/.f64 c b) (*.f64 a 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 c b) (+.f64 a a)) (*.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (/.f64 (*.f64 c a) b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) 2) (*.f64 (*.f64 a -2) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 2 (/.f64 -1/2 a))) (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (*.f64 c a) b) -1)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 c a) 2) -1/2) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 c a) 2) 1) (*.f64 b (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 c a) 2) 1/2) (*.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 (*.f64 c a) 2)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 (*.f64 c a) 2)) (*.f64 (neg.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (*.f64 a (*.f64 2 (/.f64 -1/2 a)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) (*.f64 a (*.f64 2 (/.f64 -1/2 a)))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 c a) 2) (/.f64 -1/2 a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 (/.f64 c b) (+.f64 a a))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 c b) (+.f64 a a)) 1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (*.f64 (*.f64 c a) 2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (/.f64 (*.f64 c a) b) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 (*.f64 c a) b) -1) a))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 c a) b) (/.f64 (*.f64 c a) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c b) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 c a) b)) 2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 c a) b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 c a) b)) 2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 c a) b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b) (+.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a a) (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 (*.f64 c a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) 2) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 c a) 2)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 c a) 2) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 c a) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 c a) 2) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) (+.f64 a a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a a) (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c b) (+.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c a) b) 2) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c b) (+.f64 a a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) (+.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) (+.f64 a a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 (*.f64 c a) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c a) b) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 c a) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b) (+.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) (+.f64 a a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c b) (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b) (+.f64 a a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 c b) (+.f64 a a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 c b) (+.f64 a a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 c b) (+.f64 a a)))) 2))))))

simplify65.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
011576
121576
241576
374576
4110576
5129576
6137576
7158576
8244576
9344576
Stop Event
saturated
Counts
145 → 77
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)
(*.f64 2 (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 2 (*.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (*.f64 a (*.f64 c 2)) b)

localize74.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
0.6b
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))
1.5b
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))
20.6b
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))
Compiler

Compiled 69 to 37 computations (46.4% saved)

series29.0ms (0.1%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
4.0ms
a
@-inf
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))
1.0ms
a
@-inf
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
1.0ms
b
@0
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))
1.0ms
a
@inf
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
1.0ms
c
@inf
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))

rewrite159.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
743×log-prod_binary64
583×fma-def_binary64
314×fma-neg_binary64
272×expm1-udef_binary64
272×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01462
131159
2433059
Stop Event
node limit
Counts
4 → 198
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4)))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
Outputs
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(*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 -1/2 a) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 -1/2 a) (*.f64 b (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 a) b (*.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 a) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (*.f64 (/.f64 -1/2 a) b))))))

simplify102.0ms (0.5%)

Algorithm
egg-herbie
Rules
665×fma-def_binary64
609×fma-neg_binary64
573×associate-*r*_binary64
570×times-frac_binary64
534×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01462203
14402105
214801988
371501952
Stop Event
node limit
Counts
294 → 272
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 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 2 b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(*.f64 2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(*.f64 2 b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 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)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -4)) b)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(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 (pow.f64 (*.f64 c 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)))))))
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(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 (pow.f64 (*.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
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(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
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(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
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(*.f64 -1 b)
(neg.f64 b)
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(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 2 (/.f64 b (*.f64 c a))) b)
(-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)
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(-.f64 (*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) b)
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(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (neg.f64 b))))
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 (/.f64 4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) b)
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3))) b)
b
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(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
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(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
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b
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(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
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(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) b)
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(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
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(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)) b))
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(*.f64 2 b)
(*.f64 b 2)
(+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a))))
(fma.f64 b 2 (*.f64 (/.f64 c b) (*.f64 a -2)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a)))))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2))
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(fma.f64 -2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 b 2 (/.f64 -2 (/.f64 b (*.f64 c a))))))
(fma.f64 -4 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2)))
(fma.f64 -4 (/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 b 2)))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 2 (/.f64 b (*.f64 c a)))
(*.f64 (/.f64 c b) (*.f64 a 2))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(*.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3))))
(*.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))))
(*.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 (/.f64 4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3))))
(fma.f64 2 (fma.f64 (/.f64 c b) a (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))) (*.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (*.f64 c a) 3)))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
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(-.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (/.f64 c b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (/.f64 -1/4 a) (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (-.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 -1/4 a) (-.f64 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a (*.f64 a -2))) (pow.f64 b 5)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(neg.f64 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) (/.f64 c b))
(-.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 (neg.f64 b) a) (/.f64 c b)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (*.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 c b))) (/.f64 b a))
(fma.f64 2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a)))

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)
0.7b
(fma.f64 b b (*.f64 (*.f64 a c) -4))
12.2b
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2))
21.1b
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4)
Compiler

Compiled 86 to 46 computations (46.5% saved)

series50.0ms (0.2%)

Counts
4 → 144
Calls

36 calls:

TimeVariablePointExpression
7.0ms
b
@0
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2))
4.0ms
a
@-inf
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2))
3.0ms
b
@inf
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4)
2.0ms
a
@inf
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2))
2.0ms
c
@-inf
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2))

rewrite235.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
812×prod-diff_binary64
607×log-prod_binary64
287×fma-def_binary64
235×expm1-udef_binary64
235×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01458
130852
2376752
Stop Event
node limit
Counts
4 → 288
Calls
Call 1
Inputs
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4)
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2))
(fma.f64 b b (*.f64 (*.f64 a c) -4))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (*.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/8) (*.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/8) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/8) 3) (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1))))))

simplify181.0ms (0.8%)

Algorithm
egg-herbie
Rules
815×fma-def_binary64
567×associate-*r*_binary64
448×times-frac_binary64
418×associate-*l*_binary64
355×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05888275
121277365
Stop Event
node limit
Counts
432 → 483
Calls
Call 1
Inputs
(pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)))
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (*.f64 -7/8192 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6)))))) (sqrt.f64 b))) (+.f64 (*.f64 (pow.f64 1 1/4) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (/.f64 (*.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3)))))
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a))))
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b
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(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) c)) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))))) (pow.f64 a 3))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 (pow.f64 c 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 a (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) b)) (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))) b)))) (+.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) b)) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2))) (*.f64 (pow.f64 c 3) a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))))) (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (pow.f64 c 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
Outputs
(pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (fma.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4)))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (fma.f64 -3/512 (*.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)))
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (*.f64 -7/8192 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (fma.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6)) (pow.f64 (*.f64 -4 (*.f64 c a)) 1/4))))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (*.f64 b b)) (fma.f64 -3/512 (*.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (*.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (sqrt.f64 b) (neg.f64 (*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(fma.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(-.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (fma.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (fma.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2) (-.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (*.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (sqrt.f64 -1))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(fma.f64 -1 (*.f64 c (*.f64 (*.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(fma.f64 (neg.f64 (*.f64 c (*.f64 a (sqrt.f64 -1)))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(fma.f64 -1 (*.f64 c (*.f64 (*.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1))))
(fma.f64 (neg.f64 (*.f64 c (*.f64 a (sqrt.f64 -1)))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (fma.f64 (sqrt.f64 b) (sqrt.f64 -1) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 -3/2 (sqrt.f64 -1))))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 c 3) (pow.f64 a 3))) (*.f64 -16/3 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(fma.f64 -1 (*.f64 c (*.f64 (*.f64 a (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -3/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (fma.f64 (*.f64 (fma.f64 -1/6 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))))
(-.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) -3/2)) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (+.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2))))) (*.f64 c (*.f64 (sqrt.f64 -1) (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(sqrt.f64 b)
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(*.f64 c (*.f64 -4 a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 c (*.f64 -4 a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
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(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 c (*.f64 -4 a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
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(fma.f64 -4 (*.f64 c a) (*.f64 b b))
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(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
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(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 c (*.f64 -4 a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
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(fma.f64 -4 (*.f64 c a) (*.f64 b b))
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(fma.f64 -4 (*.f64 c a) (*.f64 b b))
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(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
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b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
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(*.f64 -1 b)
(neg.f64 b)
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(fma.f64 2 (/.f64 (*.f64 c a) b) (neg.f64 b))
(-.f64 (/.f64 (*.f64 (*.f64 2 c) a) b) b)
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(fma.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 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 2 (*.f64 (/.f64 c b) a) (-.f64 (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))) b))
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b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
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(fma.f64 (*.f64 a a) (fma.f64 2 (*.f64 b (/.f64 (*.f64 (*.f64 c c) -3/2) (pow.f64 b 4))) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
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(fma.f64 (+.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 2 (*.f64 b (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) -3/2)))) (*.f64 a a) (fma.f64 (fma.f64 2 (*.f64 b (fma.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) -10/3))) (*.f64 -2 (/.f64 c (/.f64 b (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 4)) -3/2))))) (pow.f64 a 3) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 (*.f64 a a) (fma.f64 2 (*.f64 b (/.f64 (*.f64 (*.f64 c c) -3/2) (pow.f64 b 4))) (/.f64 c (/.f64 (pow.f64 b 3) c))) (fma.f64 (pow.f64 a 3) (fma.f64 2 (*.f64 b (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 6)) -7/2)) (*.f64 -2 (*.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) -3/2) (pow.f64 b 4))))) (fma.f64 -2 (*.f64 (/.f64 c b) a) b)))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2)
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (*.f64 -4 c)))) 2) (/.f64 (*.f64 c a) (*.f64 b b))) -1/8))
(fma.f64 (*.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2) a)) -1/8 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))) 2))
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))) (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
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(fma.f64 2 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2)) (*.f64 c c)) (fma.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 4))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (*.f64 -1/8 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (*.f64 c a) (*.f64 b b)))))))
(fma.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (*.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)) (fma.f64 1/256 (/.f64 (pow.f64 b 4) (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2))) (fma.f64 -1/8 (*.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2))) (*.f64 (pow.f64 c 3) a))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) (pow.f64 c 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))))))))
(fma.f64 -1/8 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2)) (*.f64 b b)) (*.f64 a (pow.f64 c 3))) (fma.f64 2 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2)) (*.f64 c c)) (fma.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 4))) (fma.f64 2 (/.f64 (fma.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -11/8192)) (/.f64 (pow.f64 c 3) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (*.f64 -1/8 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (*.f64 c a) (*.f64 b b)))))))))
(fma.f64 -1/8 (*.f64 (/.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) (/.f64 (pow.f64 c 3) -3/512)) (/.f64 (*.f64 b b) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)))) (fma.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (*.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)) (fma.f64 1/256 (/.f64 (pow.f64 b 4) (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2))) (fma.f64 2 (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -7/8192) (pow.f64 c 3)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2)) (fma.f64 -1/8 (*.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c))) 2) c)) (pow.f64 (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(fma.f64 -1/8 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (*.f64 c a) (*.f64 b b))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (*.f64 c a)) (*.f64 b b)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(fma.f64 -1/8 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (*.f64 c a) (*.f64 b b))) (fma.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 4))) (fma.f64 2 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (*.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))))
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (*.f64 c a)) (*.f64 b b)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (*.f64 a a))) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (*.f64 c a))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (*.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (*.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))))) (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (pow.f64 c 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (*.f64 1/256 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
(fma.f64 -1/8 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (*.f64 c a) (*.f64 b b))) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (fma.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 5/6144)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (*.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (*.f64 b b)) a))) (pow.f64 c 3)) (fma.f64 2 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (*.f64 c c)) (fma.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 4))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))))
(fma.f64 -1/8 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (*.f64 c a)) (*.f64 b b)) (-.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) c) (/.f64 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512) c)) (fma.f64 1/256 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (*.f64 a a))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2))) (/.f64 (fma.f64 2 (*.f64 (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 7/8192) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2)) (/.f64 1/8 (/.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) (*.f64 (*.f64 b b) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) -3/512)))))) (pow.f64 c 3))))

eval876.0ms (4%)

Compiler

Compiled 39509 to 26259 computations (33.5% saved)

prune203.0ms (0.9%)

Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New1055171072
Fresh14620
Picked101
Done224
Total1072251097
Error
0.3b
Counts
1097 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
43.3b
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
46.2b
(*.f64 (/.f64 1 (/.f64 b (*.f64 (*.f64 c a) 2))) (/.f64 -1/2 a))
46.1b
(/.f64 1 (pow.f64 (sqrt.f64 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))) 2))
58.1b
(/.f64 0 (*.f64 2 a))
43.3b
(-.f64 (/.f64 c b) (/.f64 b a))
44.9b
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)) (*.f64 2 a))
47.0b
(*.f64 (/.f64 c (/.f64 b (+.f64 a a))) (/.f64 -1/2 a))
31.6b
(/.f64 1 (*.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a))
44.8b
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
45.0b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) (+.f64 a a))) 3) (/.f64 -1/2 a))
42.6b
(*.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2))) (/.f64 -1/2 a))
46.2b
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
44.2b
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
46.9b
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
41.3b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
31.7b
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
47.8b
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
41.7b
(/.f64 1 (/.f64 (neg.f64 b) c))
43.2b
(/.f64 (neg.f64 b) a)
52.3b
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 2 a))
55.3b
(exp.f64 (log.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))))
43.3b
(/.f64 1 (/.f64 (neg.f64 a) b))
41.6b
(/.f64 (neg.f64 c) b)
44.8b
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
45.2b
(/.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4))))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
Compiler

Compiled 772 to 560 computations (27.5% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (*.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a))
0.2b
(*.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a)
0.9b
(+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))
13.9b
(sqrt.f64 (*.f64 a (*.f64 c -4)))
Compiler

Compiled 83 to 54 computations (34.9% saved)

series23.0ms (0.1%)

Counts
3 → 42
Calls

27 calls:

TimeVariablePointExpression
4.0ms
c
@-inf
(*.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a)
2.0ms
c
@inf
(*.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a)
1.0ms
a
@inf
(*.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a)
1.0ms
a
@-inf
(*.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a)
1.0ms
c
@inf
(/.f64 1 (*.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a))

rewrite118.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
755×log-prod_binary64
656×prod-diff_binary64
274×expm1-udef_binary64
274×log1p-udef_binary64
265×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01560
132457
2413857
Stop Event
node limit
Counts
3 → 109
Calls
Call 1
Inputs
(+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))
(*.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a)
(/.f64 1 (*.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a)) (cbrt.f64 (pow.f64 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) -2)) (cbrt.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a)) (sqrt.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (*.f64 a -2)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1) (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) -1) (pow.f64 (sqrt.f64 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a -2)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) a)) 1))))))

simplify86.0ms (0.4%)

Algorithm
egg-herbie
Rules
805×associate-/r*_binary64
635×unswap-sqr_binary64
416×associate-*l/_binary64
368×associate-*r/_binary64
249×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02171823
16731443
227861382
371891375
Stop Event
node limit
Counts
151 → 180
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 2 b)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(*.f64 2 b)
(*.f64 2 b)
(*.f64 -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 (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 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 (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 -1 (*.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 (*.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 -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))))))
(*.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 -1 (/.f64 a b))
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.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 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 -1 (/.f64 b a))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))
(+.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 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 b (+.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
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(+.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 (/.f64 b c) (pow.f64 (sqrt.f64 -4) 2)) (*.f64 -2 (/.f64 (fma.f64 -2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 (*.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 c (*.f64 c (*.f64 a a))) -2) 2)) (*.f64 a (*.f64 16 (*.f64 c c)))) (fma.f64 1/4 (*.f64 c (*.f64 a (*.f64 -4 (*.f64 (*.f64 c (*.f64 a a)) -1/2)))) (*.f64 (*.f64 (pow.f64 a 3) (*.f64 c c)) 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 c (*.f64 (*.f64 a -4) (*.f64 (*.f64 c (*.f64 a a)) -1/2))) (*.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 a b) (-.f64 (*.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 c (*.f64 (*.f64 a -4) (*.f64 (*.f64 c (*.f64 a a)) -1/2))) (*.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 b c)))
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(*.f64 -1 (/.f64 a b))
(neg.f64 (/.f64 a b))
(/.f64 (neg.f64 a) b)
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) -1/2))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) -1/4))))
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.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 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (*.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)))))))
(fma.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (*.f64 (sqrt.f64 -4) -4) (pow.f64 b 4))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 -1/4 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))))))))
(fma.f64 1/16 (*.f64 (/.f64 (/.f64 (pow.f64 b 4) (sqrt.f64 -4)) -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3)))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/2 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -4)) b) -1/4)))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.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))) (neg.f64 (/.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))) (neg.f64 (/.f64 b a))))
(-.f64 (fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) (/.f64 (*.f64 1 c) b)) (/.f64 b a))
(-.f64 (fma.f64 1/16 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a 16))) c) (/.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)))) (neg.f64 (/.f64 b a)))))
(+.f64 (-.f64 (fma.f64 1/16 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) (/.f64 (*.f64 1 c) b)) (/.f64 b a)) (*.f64 -1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64)))))
(+.f64 (fma.f64 -1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) (/.f64 (neg.f64 b) a)) (fma.f64 1/16 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a 16))) c) (/.f64 c b)))
(fma.f64 1/16 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a 16))) c) (fma.f64 -1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(*.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 (*.f64 -1/16 (*.f64 (*.f64 c c) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (pow.f64 b 3)))
(fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) (/.f64 (*.f64 -1 c) b))
(fma.f64 -1/16 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a 16))) 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 -1/16 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) (/.f64 (*.f64 (pow.f64 c 3) 1/32) (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a -64))))))
(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 -1/16 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a 16))) c) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))))))
(+.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 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (*.f64 a (pow.f64 b 7))) (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))))))))
(fma.f64 -1/4 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -2) 2)) (*.f64 a (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 -1 c) b) (fma.f64 -1/16 (/.f64 (*.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) a) 16)) (/.f64 (*.f64 (pow.f64 c 3) 1/32) (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a -64)))))))
(+.f64 (fma.f64 -1/16 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a 16))) c) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -64))))) (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))) (/.f64 (neg.f64 c) b)))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)

localize5.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite88.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify103.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)
0.3b
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
5.7b
(*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4)))
9.4b
(/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2))
Compiler

Compiled 68 to 47 computations (30.9% saved)

series25.0ms (0.1%)

Counts
4 → 144
Calls

36 calls:

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

rewrite103.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01470
130355
2403955
Stop Event
node limit
Counts
4 → 160
Calls
Call 1
Inputs
(/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2))
(*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4)))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)
Outputs
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(*.f64 a c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) -1/2) (/.f64 (*.f64 (*.f64 a c) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (/.f64 -1/2 b)) (*.f64 (*.f64 a c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (/.f64 (*.f64 (*.f64 a c) 2) b)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) 1) (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2))) 2)) (cbrt.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (sqrt.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2)))) (sqrt.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (/.f64 -1/2 b)) (*.f64 (*.f64 a c) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 a (/.f64 -1/2 b)) (*.f64 (*.f64 a c) 2)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2)) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 (neg.f64 a) (/.f64 (*.f64 b -2) (*.f64 (*.f64 a c) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2))) (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 a (/.f64 -1/2 b)) (*.f64 (*.f64 a c) 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a (/.f64 -1/2 b)) (*.f64 (*.f64 a c) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -1/2 b) (/.f64 a (*.f64 (*.f64 a c) 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 b)) (*.f64 (*.f64 a c) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 b)) (*.f64 (*.f64 a c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 b)) (*.f64 (*.f64 a c) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 b)) (*.f64 (*.f64 a c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a c) 2) (*.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 (*.f64 a c) 2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 (*.f64 a c) 2)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a c) 2) -1/2) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 b)) (*.f64 (*.f64 a c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -1/2 b) (*.f64 (*.f64 a c) 2))) 1))))))

simplify71.0ms (0.3%)

Algorithm
egg-herbie
Rules
325×fma-def_binary64
94×fma-neg_binary64
49×sub-neg_binary64
38×div-sub_binary64
31×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141116
1321116
2661116
31221116
41941116
52681116
63311116
73891116
85341116
97911116
109061116
Stop Event
saturated
Counts
304 → 168
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 2 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(*.f64 -1 (/.f64 (*.f64 c a) b))
Outputs
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(*.f64 -1 (/.f64 b c))
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(/.f64 (*.f64 c (neg.f64 a)) b)
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (neg.f64 c) a) b)
(/.f64 (*.f64 c (neg.f64 a)) b)
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (neg.f64 c) a) b)
(/.f64 (*.f64 c (neg.f64 a)) b)
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (neg.f64 c) a) b)
(/.f64 (*.f64 c (neg.f64 a)) b)
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (neg.f64 c) a) b)
(/.f64 (*.f64 c (neg.f64 a)) b)
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (neg.f64 c) a) b)
(/.f64 (*.f64 c (neg.f64 a)) b)
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (neg.f64 c) a) b)
(/.f64 (*.f64 c (neg.f64 a)) b)
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (neg.f64 c) a) b)
(/.f64 (*.f64 c (neg.f64 a)) b)
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (neg.f64 c) a) b)
(/.f64 (*.f64 c (neg.f64 a)) b)
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (neg.f64 c) a) b)
(/.f64 (*.f64 c (neg.f64 a)) b)
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (neg.f64 c) a) b)
(/.f64 (*.f64 c (neg.f64 a)) b)
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (neg.f64 c) a) b)
(/.f64 (*.f64 c (neg.f64 a)) b)
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (neg.f64 c) a) b)
(/.f64 (*.f64 c (neg.f64 a)) b)
(*.f64 a (neg.f64 (/.f64 c b)))
(*.f64 -1 (/.f64 (*.f64 c a) b))
(neg.f64 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 (neg.f64 c) a) b)
(/.f64 (*.f64 c (neg.f64 a)) b)
(*.f64 a (neg.f64 (/.f64 c b)))

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))
0.1b
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)) (*.f64 2 a))
0.4b
(pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)
14.7b
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)
Compiler

Compiled 66 to 45 computations (31.8% saved)

series391.0ms (1.8%)

Counts
4 → 120
Calls

30 calls:

TimeVariablePointExpression
128.0ms
b
@0
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)) (*.f64 2 a))
70.0ms
c
@-inf
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)
37.0ms
c
@0
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)
33.0ms
c
@inf
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))
28.0ms
a
@-inf
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)

rewrite173.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
811×log-prod_binary64
324×fma-def_binary64
269×expm1-udef_binary64
269×log1p-udef_binary64
222×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01556
134249
2466449
Stop Event
node limit
Counts
4 → 236
Calls
Call 1
Inputs
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/4)
(pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)) (*.f64 2 a))
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2))
Outputs
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((#(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 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (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 (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 -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 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (cbrt.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (*.f64 (cbrt.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 (cbrt.f64 (*.f64 -4 (*.f64 a c))) (cbrt.f64 (sqrt.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 c 1/4) (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/8) (*.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/8) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/8)) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 c 1/4) (pow.f64 c 1/4)) (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 (*.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 -4 (*.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c)))))))) (#(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 *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c -4) 1/2) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 c 1/4) 2) (pow.f64 (pow.f64 (*.f64 -4 a) 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) (cbrt.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (cbrt.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) (pow.f64 c 1/4)) (pow.f64 (*.f64 -4 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (#(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))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b (*.f64 a -2)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (*.f64 a -2)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (*.f64 a -2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (*.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 b (*.f64 a -2)) (*.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 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (*.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (*.f64 a -2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (*.f64 a -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (*.f64 a -2))) 2) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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simplify137.0ms (0.6%)

Algorithm
egg-herbie
Rules
666×fma-neg_binary64
529×fma-def_binary64
515×associate-*l*_binary64
469×associate-*r*_binary64
371×exp-sum_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01002468
12972441
27462135
316801559
465221559
Stop Event
node limit
Counts
356 → 275
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 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 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 (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 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) a))
(*.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) a))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 b)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)))
(*.f64 -1 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b))
(*.f64 -1 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b))
(*.f64 -1 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b))
(*.f64 -1 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))
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 (*.f64 a -4) c) 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 (*.f64 a -4) c) 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 (*.f64 a -4) c) 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 (*.f64 a -4) c) 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 (*.f64 a -4) c) 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 (*.f64 a -4) c) 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 (*.f64 a -4) c) 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 (*.f64 a -4) c) 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 (*.f64 a -4) c) 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 (*.f64 a -4) c) 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 (*.f64 a -4) c) 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 (*.f64 a -4) c) 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 (*.f64 a -4) c) 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 (*.f64 a -4) c) 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 (*.f64 a -4) c) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a))))
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(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (log.f64 c)))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -4 c)) (log.f64 a)))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))
(*.f64 -1 (+.f64 b (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))
(neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2) b))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))) 2)) b)
(-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a -4) c)))

eval846.0ms (3.9%)

Compiler

Compiled 17078 to 10270 computations (39.9% saved)

prune340.0ms (1.6%)

Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New78619805
Fresh71118
Picked101
Done156
Total79535830
Error
0.0b
Counts
830 → 35
Alt Table
Click to see full alt table
StatusErrorProgram
51.3b
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)) (*.f64 2 a))
45.5b
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 -4 (*.f64 a c)))) (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 2 a))
41.3b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
59.4b
(pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3)
43.3b
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
46.2b
(*.f64 (/.f64 1 (/.f64 b (*.f64 (*.f64 c a) 2))) (/.f64 -1/2 a))
46.1b
(/.f64 1 (pow.f64 (sqrt.f64 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))) 2))
58.1b
(/.f64 0 (*.f64 2 a))
43.3b
(-.f64 (/.f64 c b) (/.f64 b a))
51.2b
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))) (*.f64 2 a))
43.3b
(/.f64 1 (*.f64 (/.f64 -2 (*.f64 b 2)) a))
47.0b
(*.f64 (/.f64 c (/.f64 b (+.f64 a a))) (/.f64 -1/2 a))
31.6b
(/.f64 1 (*.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a))
46.8b
(/.f64 1 (/.f64 a (*.f64 (*.f64 c (*.f64 2 (/.f64 a b))) -1/2)))
43.3b
(fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a))
50.0b
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a)
52.5b
(/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (*.f64 b a))
41.6b
(/.f64 (neg.f64 c) b)
44.8b
(*.f64 -1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) a))
58.3b
(/.f64 c b)
44.2b
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
46.9b
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
52.9b
(*.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (/.f64 1 (*.f64 b a)))
45.2b
(/.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4))))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
43.3b
(/.f64 1 (/.f64 (neg.f64 a) b))
49.2b
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b)))
31.7b
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
47.8b
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
41.7b
(/.f64 1 (/.f64 (neg.f64 b) c))
52.5b
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) (*.f64 2 a))
52.9b
(exp.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))))
43.2b
(/.f64 (neg.f64 b) a)
44.8b
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
52.6b
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)) (*.f64 2 a))
51.9b
(/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a))
Compiler

Compiled 1004 to 697 computations (30.6% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 a b) (/.f64 b c))
0.4b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
Compiler

Compiled 29 to 9 computations (69% saved)

series9.0ms (0%)

Counts
2 → 72
Calls

18 calls:

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

rewrite86.0ms (0.4%)

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
0923
120323
2308223
Stop Event
node limit
Counts
2 → 192
Calls
Call 1
Inputs
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(-.f64 (/.f64 a b) (/.f64 b c))
Outputs
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simplify103.0ms (0.5%)

Algorithm
egg-herbie
Rules
740×associate-*l/_binary64
702×associate-/r/_binary64
517×unswap-sqr_binary64
495×associate-*r/_binary64
345×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0531459
11601381
25911341
333511337
Stop Event
node limit
Counts
264 → 212
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))))))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
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 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 c) b) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (*.f64 a a))) (*.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 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7))))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(-.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 (pow.f64 c 4) (/.f64 (pow.f64 b 7) a)))))
(/.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 b a) (+.f64 (/.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 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c 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 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 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 b a) (+.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 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (+.f64 (/.f64 b a) (/.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 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3))))
(/.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 b a) (+.f64 (/.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 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c 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 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 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 b a) (+.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 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (+.f64 (/.f64 b a) (/.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 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3))))
(/.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 b a) (+.f64 (/.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 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c 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 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 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 b a) (+.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 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (+.f64 (/.f64 b a) (/.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 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 c) b) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (*.f64 a a))) (*.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 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7))))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(-.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 (pow.f64 c 4) (/.f64 (pow.f64 b 7) a)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 c) b) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (*.f64 a a))) (*.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 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7))))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(-.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 (pow.f64 c 4) (/.f64 (pow.f64 b 7) a)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 c) b) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 (pow.f64 c 3)) (/.f64 (pow.f64 b 5) (*.f64 a a))) (*.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 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7))))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(-.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 (pow.f64 c 4) (/.f64 (pow.f64 b 7) a)))))
(/.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 b a) (+.f64 (/.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 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c 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 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 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 b a) (+.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 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (+.f64 (/.f64 b a) (/.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 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3))))
(/.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 b a) (+.f64 (/.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 (pow.f64 b 3) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 c 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 b a) (+.f64 (/.f64 (pow.f64 b 5) (*.f64 c (*.f64 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 b a) (+.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 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (+.f64 (/.f64 b a) (/.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 (pow.f64 b 7) (pow.f64 a 4)) (pow.f64 c 3))))
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))

localize7.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.8b
(-.f64 (*.f64 c a) (*.f64 b b))
20.5b
(/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (*.f64 b a))
Compiler

Compiled 33 to 8 computations (75.8% saved)

series15.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite141.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
619×log-prod_binary64
408×fma-def_binary64
402×pow-prod-down_binary64
284×pow2_binary64
219×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0926
120726
2322323
Stop Event
node limit
Counts
2 → 247
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (*.f64 b a))
(-.f64 (*.f64 c a) (*.f64 b b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 c b)) (neg.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 1 (/.f64 c b)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 1 (/.f64 c b)) (/.f64 b a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 1 (/.f64 c b)) (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 1 (/.f64 c b)) (/.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 1 (/.f64 c b)) (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1 (/.f64 c b)) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 1 (/.f64 c b)) (/.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (/.f64 1 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1 (/.f64 c b)) (/.f64 b a)) 1)))) 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(pow.f64 (cbrt.f64 b) 2)) (*.f64 (cbrt.f64 b) b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 6)) (/.f64 1 (fma.f64 (*.f64 b b) (fma.f64 c a (*.f64 b b)) (pow.f64 (*.f64 c a) 2))) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 6)) (/.f64 1 (fma.f64 (*.f64 b b) (fma.f64 c a (*.f64 b b)) (pow.f64 (*.f64 c a) 2))) (+.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 4)) (/.f64 1 (fma.f64 c a (*.f64 b b))) (fma.f64 b (neg.f64 b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 4)) (/.f64 1 (fma.f64 c a (*.f64 b b))) (fma.f64 (*.f64 b (neg.f64 b)) 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 4)) (/.f64 1 (fma.f64 c a (*.f64 b b))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (*.f64 (cbrt.f64 b) b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 4)) (/.f64 1 (fma.f64 c a (*.f64 b b))) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 4)) (/.f64 1 (fma.f64 c a (*.f64 b b))) (+.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b (neg.f64 b) (*.f64 b b))) 2) (cbrt.f64 (fma.f64 b (neg.f64 b) (*.f64 b b))) (-.f64 (*.f64 c a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 b (neg.f64 b))) 2) (cbrt.f64 (*.f64 b (neg.f64 b))) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) b) (hypot.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) b) (-.f64 (*.f64 c a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b (neg.f64 b))) (sqrt.f64 (*.f64 b (neg.f64 b))) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 b b) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b) (-.f64 (sqrt.f64 (*.f64 c a)) b) (fma.f64 b (neg.f64 b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b) (-.f64 (sqrt.f64 (*.f64 c a)) b) (fma.f64 (*.f64 b (neg.f64 b)) 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b) (-.f64 (sqrt.f64 (*.f64 c a)) b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (*.f64 (cbrt.f64 b) b) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b) (-.f64 (sqrt.f64 (*.f64 c a)) b) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 c) (sqrt.f64 a) b) (-.f64 (sqrt.f64 (*.f64 c a)) b) (+.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) 2) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 b) 1) b (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 b) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 b) (sqrt.f64 b)) (sqrt.f64 b) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (*.f64 (*.f64 b (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (fma.f64 b (neg.f64 b) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (neg.f64 (-.f64 (*.f64 b b) (fma.f64 b (neg.f64 b) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (*.f64 b (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 b (neg.f64 b) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (-.f64 (*.f64 b b) (fma.f64 b (neg.f64 b) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 (*.f64 b (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (fma.f64 b (neg.f64 b) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (neg.f64 (-.f64 (*.f64 b b) (fma.f64 b (neg.f64 b) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (*.f64 (*.f64 b (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (fma.f64 b (neg.f64 b) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (neg.f64 (-.f64 (*.f64 b b) (fma.f64 b (neg.f64 b) (*.f64 b b)))))))))

simplify135.0ms (0.6%)

Algorithm
egg-herbie
Rules
609×cancel-sign-sub-inv_binary64
546×fma-neg_binary64
483×associate-*l*_binary64
454×associate-/r*_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014709
129628
253628
397628
4225628
5676628
62372628
75956628
Stop Event
node limit
Counts
319 → 258
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (*.f64 c a))
(fma.f64 -1 (*.f64 b b) (*.f64 a c))
(fma.f64 a c (*.f64 b (neg.f64 b)))
(-.f64 (*.f64 a c) (*.f64 b b))
(fma.f64 a c (neg.f64 (*.f64 b b)))

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1))
11.1b
(*.f64 (/.f64 b c) (/.f64 a b))
12.1b
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b)))
Compiler

Compiled 51 to 16 computations (68.6% saved)

series20.0ms (0.1%)

Counts
3 → 108
Calls

27 calls:

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

rewrite135.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
767×log-prod_binary64
348×log-div_binary64
330×fma-def_binary64
230×pow1/3_binary64
229×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01142
126142
2409942
Stop Event
node limit
Counts
3 → 252
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b)))
(*.f64 (/.f64 b c) (/.f64 a b))
(-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 a (sqrt.f64 b)) (/.f64 (neg.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) b) (/.f64 (neg.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) b) (/.f64 (neg.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 a b)) (/.f64 (neg.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 b)) (/.f64 (neg.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 a) (sqrt.f64 b)) (/.f64 (neg.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (-.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (fma.f64 (neg.f64 (/.f64 1 c)) b (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (-.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b c))) (pow.f64 (cbrt.f64 (/.f64 b c)) 2) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (-.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (fma.f64 -1 (/.f64 b c) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 b c)) 2)) (cbrt.f64 (/.f64 b c)) (/.f64 a b))))))

simplify146.0ms (0.7%)

Algorithm
egg-herbie
Rules
248×fma-neg_binary64
230×fma-def_binary64
117×div-sub_binary64
99×times-frac_binary64
89×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014880
123772
238772
357772
481772
5127772
6214772
7317772
8535772
91070772
101475772
111655772
121778772
131794772
141799772
Stop Event
saturated
Counts
360 → 263
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(/.f64 b (neg.f64 c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(/.f64 b (neg.f64 c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(/.f64 b (neg.f64 c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(/.f64 b (neg.f64 c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))

localize40.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))) (*.f64 2 a))
0.1b
(*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))
Compiler

Compiled 53 to 31 computations (41.5% saved)

series46.0ms (0.2%)

Counts
2 → 14
Calls

15 calls:

TimeVariablePointExpression
30.0ms
a
@0
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))) (*.f64 2 a))
2.0ms
c
@-inf
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))) (*.f64 2 a))
2.0ms
a
@inf
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))) (*.f64 2 a))
2.0ms
c
@-inf
(*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))
1.0ms
c
@inf
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))) (*.f64 2 a))

rewrite78.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
782×log-prod_binary64
285×fma-def_binary64
252×pow1/3_binary64
251×expm1-udef_binary64
251×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01429
131027
2438327
Stop Event
node limit
Counts
2 → 87
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))) (*.f64 2 a))
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 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (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 pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) 1)))) (#(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 (cbrt.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.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)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x 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 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (/.f64 1/2 a)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (/.f64 1/2 a))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (/.f64 1/2 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 b (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 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (/.f64 1/2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 b (/.f64 1/2 a)) (*.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 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2))) 2) (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2) (*.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2))) (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 1/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 a a) 2))) (/.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2) a) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) a) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2) 2) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2) 1) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 1) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2) (cbrt.f64 (pow.f64 (+.f64 a a) 2))) (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (cbrt.f64 (pow.f64 (+.f64 a a) 2))) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (*.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 1/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 b (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 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) (*.f64 a -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1/2 a) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b (/.f64 1/2 a)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 b a) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 b (/.f64 1/2 a)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 b (/.f64 1/2 a))) (cbrt.f64 (*.f64 b (/.f64 1/2 a)))) (cbrt.f64 (*.f64 b (/.f64 1/2 a))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b (/.f64 1/2 a))) (sqrt.f64 (*.f64 b (/.f64 1/2 a))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) (/.f64 b 2) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 b b)) a) (/.f64 (cbrt.f64 b) 2) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) 2) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 2) (/.f64 (sqrt.f64 b) a) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 a) (/.f64 b 2) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 b b)) 2) (/.f64 (cbrt.f64 b) a) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 b a) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 b b)) 1) (/.f64 (cbrt.f64 b) (+.f64 a a)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 a a)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 a a) 2))) (/.f64 b (cbrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 b b)) (cbrt.f64 (pow.f64 (+.f64 a a) 2))) (/.f64 (cbrt.f64 b) (cbrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 (+.f64 a a) 2))) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 a a) 2))) (/.f64 b (cbrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 b (sqrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 b b)) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) (sqrt.f64 (+.f64 a a))) (/.f64 (sqrt.f64 b) (sqrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 a a))) (/.f64 b (sqrt.f64 (+.f64 a a))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) (/.f64 1/2 a))))))))

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×fma-def_binary64
*-commutative_binary64
associate-*r*_binary64
associate-*l*_binary64
+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014222
125222
243204
355204
457204
558204
Stop Event
saturated
Counts
101 → 92
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))
Outputs
(*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(*.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) -1/2))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 -1/2 (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (/.f64 b a)))
(*.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4) (/.f64 b a)))
(*.f64 -1/2 (/.f64 b a))
(*.f64 -1/2 (/.f64 b a))

eval254.0ms (1.2%)

Compiler

Compiled 17087 to 5051 computations (70.4% saved)

prune472.0ms (2.2%)

Pruning

47 alts after pruning (39 fresh and 8 done)

PrunedKeptTotal
New80520825
Fresh61925
Picked011
Done279
Total81347860
Error
0.0b
Counts
860 → 47
Alt Table
Click to see full alt table
StatusErrorProgram
51.3b
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)) (*.f64 2 a))
53.4b
(/.f64 (/.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c)) (*.f64 (/.f64 b c) (/.f64 a b)))
45.5b
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 -4 (*.f64 a c)))) (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 2 a))
59.4b
(pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3)
48.1b
(/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) c))
41.3b
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
43.3b
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
46.2b
(*.f64 (/.f64 1 (/.f64 b (*.f64 (*.f64 c a) 2))) (/.f64 -1/2 a))
46.1b
(/.f64 1 (pow.f64 (sqrt.f64 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))) 2))
43.3b
(-.f64 (/.f64 c b) (/.f64 b a))
54.4b
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))))
62.4b
(/.f64 1 (/.f64 a b))
47.8b
(*.f64 (/.f64 b a) (*.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (/.f64 c b)))
51.2b
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))) (*.f64 2 a))
31.6b
(/.f64 1 (*.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a))
61.3b
(/.f64 (/.f64 a b) (*.f64 (/.f64 b c) (/.f64 a b)))
43.3b
(/.f64 1 (*.f64 (/.f64 -2 (*.f64 b 2)) a))
47.0b
(*.f64 (/.f64 c (/.f64 b (+.f64 a a))) (/.f64 -1/2 a))
46.8b
(/.f64 1 (/.f64 a (*.f64 (*.f64 c (*.f64 2 (/.f64 a b))) -1/2)))
41.6b
(/.f64 (neg.f64 c) b)
44.8b
(*.f64 -1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) a))
50.0b
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (/.f64 1 (/.f64 b (/.f64 a (/.f64 c b)))))
58.3b
(/.f64 c b)
44.2b
(*.f64 (/.f64 1 a) (-.f64 (/.f64 (*.f64 c a) b) b))
44.8b
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
49.1b
(/.f64 (/.f64 b (neg.f64 c)) (*.f64 (/.f64 b c) (/.f64 a b)))
49.8b
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
52.9b
(*.f64 (/.f64 (/.f64 1 b) a) (-.f64 (*.f64 c a) (*.f64 b b)))
49.2b
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (/.f64 a c))
58.6b
(/.f64 (*.f64 c a) (*.f64 b a))
52.6b
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 c -4) 1/4) (pow.f64 a 1/4)) 2)) (*.f64 2 a))
53.3b
(/.f64 1 (/.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c)))
43.3b
(/.f64 1 (/.f64 (neg.f64 a) b))
45.2b
(/.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4))))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
49.3b
(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c b)) (*.f64 (neg.f64 b) 1)) (*.f64 (neg.f64 b) (/.f64 c b))) (*.f64 (/.f64 b c) (/.f64 a b)))
47.8b
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
31.7b
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
41.7b
(/.f64 1 (/.f64 (neg.f64 b) c))
41.5b
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
52.5b
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) (*.f64 2 a))
41.3b
(/.f64 1 (fma.f64 (/.f64 1 b) a (/.f64 (neg.f64 b) c)))
52.9b
(exp.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))))
43.2b
(/.f64 (neg.f64 b) a)
41.5b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) -3)
62.4b
(/.f64 b a)
46.9b
(pow.f64 (/.f64 a (*.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 1/2)) -1)
46.9b
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
Compiler

Compiled 729 to 493 computations (32.4% saved)

regimes2.4s (11.2%)

Counts
83 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(/.f64 1 (/.f64 a b))
(/.f64 0 (*.f64 2 a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 (*.f64 c a) (*.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (*.f64 (/.f64 -2 (*.f64 b 2)) a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 a b) (*.f64 (/.f64 b c) (/.f64 a b)))
(*.f64 (/.f64 1 a) (-.f64 (/.f64 (*.f64 c a) b) b))
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a)
(/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (*.f64 b a))
(*.f64 (/.f64 c (/.f64 b (+.f64 a a))) (/.f64 -1/2 a))
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(*.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
(/.f64 (/.f64 b (neg.f64 c)) (*.f64 (/.f64 b c) (/.f64 a b)))
(/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) c))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(*.f64 (/.f64 (/.f64 1 b) a) (-.f64 (*.f64 c a) (*.f64 b b)))
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (/.f64 a c))
(/.f64 1 (/.f64 a (*.f64 (*.f64 c (*.f64 2 (/.f64 a b))) -1/2)))
(*.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (/.f64 1 (*.f64 b a)))
(/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a))
(*.f64 (/.f64 1 (/.f64 b (*.f64 (*.f64 c a) 2))) (/.f64 -1/2 a))
(*.f64 (/.f64 b a) (*.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (/.f64 c b)))
(/.f64 1 (/.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c)))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b)))
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (/.f64 1 (/.f64 b (/.f64 a (/.f64 c b)))))
(/.f64 (/.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c)) (*.f64 (/.f64 b c) (/.f64 a b)))
(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c b)) (*.f64 (neg.f64 b) 1)) (*.f64 (neg.f64 b) (/.f64 c b))) (*.f64 (/.f64 b c) (/.f64 a b)))
(fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a))
(/.f64 1 (fma.f64 (/.f64 1 b) a (/.f64 (neg.f64 b) c)))
(*.f64 -1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 -4 (*.f64 a c)))) (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 2 a))
(exp.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))))
(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)
(pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) 3)
(pow.f64 (/.f64 a (*.f64 (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 1/2)) -1)
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))) (*.f64 2 a))
(/.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))) (*.f64 2 a))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) (+.f64 a a))) 3) (/.f64 -1/2 a))
(*.f64 (/.f64 1/2 a) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)) (*.f64 2 a))
(/.f64 1 (*.f64 (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) a))
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2)))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)) (/.f64 b a))
(*.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2))) (/.f64 -1/2 a))
(/.f64 1 (/.f64 a (*.f64 (+.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))) -1/2)))
(*.f64 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (*.f64 (pow.f64 (*.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)) (*.f64 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 (*.f64 a c) -4)) 3/2))) (*.f64 2 a))
(*.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 1/4) 2)) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) 2)) (*.f64 2 a))
(/.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 c -4))))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(/.f64 (*.f64 (/.f64 -1/2 a) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(exp.f64 (log.f64 (*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))))
(*.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
(*.f64 (+.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 -1/2 a))
(/.f64 1 (pow.f64 (sqrt.f64 (*.f64 a (/.f64 -2 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))) 2))
(/.f64 (/.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) -1/2) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (*.f64 2 a))
Outputs
(/.f64 (neg.f64 c) b)
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (neg.f64 b) a)
Calls

4 calls:

1.2s
a
585.0ms
c
345.0ms
b
262.0ms
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Results
ErrorSegmentsBranch
20.4b14a
10.0b3b
24.5b5c
12.5b5(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 1136 to 580 computations (48.9% saved)

bsearch274.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
117.0ms
1.8461158600088256e+109
5.326007228872798e+110
154.0ms
-7.166462350189711e-93
-2.9101722133551855e-96
Compiler

Compiled 461 to 334 computations (27.5% saved)

regimes978.0ms (4.5%)

Counts
50 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(/.f64 1 (/.f64 a b))
(/.f64 0 (*.f64 2 a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 (*.f64 c a) (*.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (*.f64 (/.f64 -2 (*.f64 b 2)) a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 a b) (*.f64 (/.f64 b c) (/.f64 a b)))
(*.f64 (/.f64 1 a) (-.f64 (/.f64 (*.f64 c a) b) b))
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a)
(/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (*.f64 b a))
(*.f64 (/.f64 c (/.f64 b (+.f64 a a))) (/.f64 -1/2 a))
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(*.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
(/.f64 (/.f64 b (neg.f64 c)) (*.f64 (/.f64 b c) (/.f64 a b)))
(/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) c))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(*.f64 (/.f64 (/.f64 1 b) a) (-.f64 (*.f64 c a) (*.f64 b b)))
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (/.f64 a c))
(/.f64 1 (/.f64 a (*.f64 (*.f64 c (*.f64 2 (/.f64 a b))) -1/2)))
(*.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (/.f64 1 (*.f64 b a)))
(/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a))
(*.f64 (/.f64 1 (/.f64 b (*.f64 (*.f64 c a) 2))) (/.f64 -1/2 a))
(*.f64 (/.f64 b a) (*.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (/.f64 c b)))
(/.f64 1 (/.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c)))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b)))
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (/.f64 1 (/.f64 b (/.f64 a (/.f64 c b)))))
(/.f64 (/.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c)) (*.f64 (/.f64 b c) (/.f64 a b)))
(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c b)) (*.f64 (neg.f64 b) 1)) (*.f64 (neg.f64 b) (/.f64 c b))) (*.f64 (/.f64 b c) (/.f64 a b)))
(fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a))
(/.f64 1 (fma.f64 (/.f64 1 b) a (/.f64 (neg.f64 b) c)))
(*.f64 -1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 2 a))
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
Outputs
(/.f64 (neg.f64 c) b)
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(/.f64 (neg.f64 b) a)
Calls

3 calls:

435.0ms
a
283.0ms
c
209.0ms
b
Results
ErrorSegmentsBranch
26.4b9a
10.0b3b
29.3b4c
Compiler

Compiled 569 to 244 computations (57.1% saved)

bsearch145.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
52.0ms
1.8461158600088256e+109
5.326007228872798e+110
93.0ms
-7.166462350189711e-93
-2.9101722133551855e-96
Compiler

Compiled 446 to 319 computations (28.5% saved)

regimes1.6s (7.2%)

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

3 calls:

1.1s
a
274.0ms
c
160.0ms
b
Results
ErrorSegmentsBranch
32.6b12a
12.7b3b
32.6b10c
Compiler

Compiled 553 to 235 computations (57.5% saved)

bsearch211.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
90.0ms
3.309165783124915e-134
2.034702644201322e-127
120.0ms
-7.166462350189711e-93
-2.9101722133551855e-96
Compiler

Compiled 461 to 334 computations (27.5% saved)

regimes1.2s (5.8%)

Counts
46 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(/.f64 1 (/.f64 a b))
(/.f64 0 (*.f64 2 a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 (*.f64 c a) (*.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 1 (*.f64 (/.f64 -2 (*.f64 b 2)) a))
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 (/.f64 a b) (*.f64 (/.f64 b c) (/.f64 a b)))
(*.f64 (/.f64 1 a) (-.f64 (/.f64 (*.f64 c a) b) b))
(/.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) b) a)
(/.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (*.f64 b a))
(*.f64 (/.f64 c (/.f64 b (+.f64 a a))) (/.f64 -1/2 a))
(*.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (/.f64 -1/2 a))
(*.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) (/.f64 -1/2 a))
(/.f64 (/.f64 b (neg.f64 c)) (*.f64 (/.f64 b c) (/.f64 a b)))
(/.f64 1 (/.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b b)) b) c))
(*.f64 (/.f64 1 (-.f64 (*.f64 a c) (*.f64 b b))) (*.f64 b c))
(*.f64 (/.f64 (/.f64 1 b) a) (-.f64 (*.f64 c a) (*.f64 b b)))
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (/.f64 a c))
(/.f64 1 (/.f64 a (*.f64 (*.f64 c (*.f64 2 (/.f64 a b))) -1/2)))
(*.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (/.f64 1 (*.f64 b a)))
(/.f64 (-.f64 a (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a))
(*.f64 (/.f64 1 (/.f64 b (*.f64 (*.f64 c a) 2))) (/.f64 -1/2 a))
(*.f64 (/.f64 b a) (*.f64 (-.f64 (/.f64 a b) (/.f64 b c)) (/.f64 c b)))
(/.f64 1 (/.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c)))
(/.f64 1 (/.f64 a (*.f64 (*.f64 (/.f64 -1/2 b) (*.f64 a (*.f64 c -4))) -1/2)))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(*.f64 (+.f64 b (-.f64 (*.f64 (/.f64 c b) (*.f64 a 2)) b)) (/.f64 -1/2 a))
(*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 c a) b)) (*.f64 2 b)) (/.f64 -1/2 a))
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b)))
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1)) (/.f64 1 (/.f64 b (/.f64 a (/.f64 c b)))))
(/.f64 (/.f64 (-.f64 c (*.f64 (/.f64 b a) b)) (*.f64 (/.f64 b a) c)) (*.f64 (/.f64 b c) (/.f64 a b)))
(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c b)) (*.f64 (neg.f64 b) 1)) (*.f64 (neg.f64 b) (/.f64 c b))) (*.f64 (/.f64 b c) (/.f64 a b)))
(fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 b b))) (/.f64 -1/2 a))
(/.f64 1 (fma.f64 (/.f64 1 b) a (/.f64 (neg.f64 b) c)))
Outputs
(/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)))
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

3 calls:

699.0ms
a
443.0ms
c
84.0ms
b
Results
ErrorSegmentsBranch
32.8b12a
21.9b2b
34.7b8c
Compiler

Compiled 516 to 211 computations (59.1% saved)

bsearch29.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
28.0ms
5.616506661849141e-281
2.918117805756275e-280
Compiler

Compiled 170 to 115 computations (32.4% saved)

regimes158.0ms (0.7%)

Counts
14 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(/.f64 1 (/.f64 a b))
(/.f64 0 (*.f64 2 a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 (*.f64 c a) (*.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
(*.f64 (+.f64 b (neg.f64 b)) (/.f64 -1/2 a))
Outputs
(/.f64 (neg.f64 c) b)
(-.f64 (/.f64 c b) (/.f64 b a))
Calls

3 calls:

81.0ms
a
56.0ms
c
17.0ms
b
Results
ErrorSegmentsBranch
34.1b9a
22.2b2b
36.0b5c
Compiler

Compiled 93 to 49 computations (47.3% saved)

bsearch47.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
47.0ms
-8.939391999192656e-300
-1.594657208445351e-306
Compiler

Compiled 197 to 136 computations (31% saved)

regimes231.0ms (1.1%)

Counts
11 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
(/.f64 1 (/.f64 a b))
(/.f64 0 (*.f64 2 a))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 1 (/.f64 (neg.f64 b) c))
(/.f64 1 (/.f64 (neg.f64 a) b))
(/.f64 (*.f64 c a) (*.f64 b a))
(*.f64 (+.f64 b b) (/.f64 -1/2 a))
Outputs
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 b) a)
Calls

3 calls:

179.0ms
a
37.0ms
c
12.0ms
b
Results
ErrorSegmentsBranch
34.1b9a
22.2b2b
36.0b5c
Compiler

Compiled 71 to 41 computations (42.3% saved)

bsearch65.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
64.0ms
-8.50704350001392e-286
-8.939391999192656e-300
Compiler

Compiled 186 to 139 computations (25.3% saved)

regimes155.0ms (0.7%)

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

3 calls:

146.0ms
a
4.0ms
b
4.0ms
c
Results
ErrorSegmentsBranch
41.6b1a
41.6b1b
41.6b1c
Compiler

Compiled 25 to 16 computations (36% saved)

regimes11.0ms (0.1%)

Accuracy

Total -4.9b remaining (-8.3%)

Threshold costs -4.9b (-8.3%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 c b)
Outputs
(/.f64 c b)
Calls

3 calls:

4.0ms
a
3.0ms
b
3.0ms
c
Results
ErrorSegmentsBranch
58.3b1a
58.3b1b
58.3b1c
Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify16.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
063227
195227
2121227
3147227
4160227
5166227
6168227
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 b -7094477434043195/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (neg.f64 c) b) (if (<=.f64 b 18500000000000001020092254146773583570005104489289220804580399808360452649018181691956929457604216336756506624) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -7094477434043195/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (neg.f64 c) b) (if (<=.f64 b 18500000000000001020092254146773583570005104489289220804580399808360452649018181691956929457604216336756506624) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -7094477434043195/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (neg.f64 c) b) (if (<=.f64 b 6955955041779301/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (*.f64 -1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b 4741477906555443/81749619078542123485445026325988907666122803627436340899944335050228199090952768134551878266578358316619466622738124605193111060004601596343876476857746694976307432364076469310158345070361107955001481492256519126766829996241750851128887511795631888691491672345630967465671003964634890646646161408) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b -6635262925566485/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664) (/.f64 (neg.f64 c) b) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b -1696516088923249/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 c) b)
(/.f64 c b)
(/.f64 b a)
Outputs
(if (<=.f64 b -7094477434043195/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (neg.f64 c) b) (if (<=.f64 b 18500000000000001020092254146773583570005104489289220804580399808360452649018181691956929457604216336756506624) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -7094477434043195/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (neg.f64 c) b) (if (<=.f64 b 18500000000000001020092254146773583570005104489289220804580399808360452649018181691956929457604216336756506624) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 a 2)) (neg.f64 (/.f64 b a))))
(if (<=.f64 b -7094477434043195/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (neg.f64 c) b) (if (<=.f64 b 18500000000000001020092254146773583570005104489289220804580399808360452649018181691956929457604216336756506624) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) -4)))) (*.f64 a 2)) (neg.f64 (/.f64 b a))))
(if (<=.f64 b -7094477434043195/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (neg.f64 c) b) (if (<=.f64 b 18500000000000001020092254146773583570005104489289220804580399808360452649018181691956929457604216336756506624) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b -7094477434043195/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (neg.f64 c) b) (if (<=.f64 b 18500000000000001020092254146773583570005104489289220804580399808360452649018181691956929457604216336756506624) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a)) (neg.f64 (/.f64 b a))))
(if (<=.f64 b -7094477434043195/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (neg.f64 c) b) (if (<=.f64 b 6955955041779301/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (*.f64 -1/2 (/.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a -4) c)) b) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b -7094477434043195/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (neg.f64 c) b) (if (<=.f64 b 6955955041779301/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b 4741477906555443/81749619078542123485445026325988907666122803627436340899944335050228199090952768134551878266578358316619466622738124605193111060004601596343876476857746694976307432364076469310158345070361107955001481492256519126766829996241750851128887511795631888691491672345630967465671003964634890646646161408) (/.f64 1 (-.f64 (/.f64 a b) (/.f64 b c))) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b -6635262925566485/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664) (/.f64 (neg.f64 c) b) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (<=.f64 b -1696516088923249/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 b) a))
(if (<=.f64 b -1696516088923249/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (/.f64 (neg.f64 c) b) (neg.f64 (/.f64 b a)))
(/.f64 (neg.f64 c) b)
(/.f64 c b)
(/.f64 b a)
Compiler

Compiled 180 to 117 computations (35% saved)

soundness260.0ms (1.2%)

Algorithm
egg-herbie
Rules
708×fma-neg_binary64
708×fma-neg_binary64
706×fma-def_binary64
706×fma-def_binary64
596×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01512214
14622111
215642000
374912000
01512214
14622111
215642000
374912000
Stop Event
node limit
node limit
Compiler

Compiled 46 to 34 computations (26.1% saved)

end115.0ms (0.5%)

Compiler

Compiled 156 to 69 computations (55.8% saved)

Profiling

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