Details

Time bar (total: 8.8s)

analyze353.0ms (4%)

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

Compiled 21 to 15 computations (28.6% saved)

sample3.0s (33.7%)

Results
840.0ms1169×body2048valid
791.0ms5240×body64valid
446.0ms787×body1024valid
320.0ms384×body4096valid
247.0ms403×body512valid
213.0ms1574×body64invalid
62.0ms172×body256valid
24.0ms101×body128valid

preprocess55.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
807×fma-def_binary64
679×div-sub_binary64
477×associate-/r*_binary64
431×distribute-frac-neg_binary64
366×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039104
19888
219888
344688
476888
5126188
6223688
7445888
8710688
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 4 (*.f64 b c))))) (*.f64 2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 a b))))) (*.f64 2 a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 -4 (*.f64 a c))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
(*.f64 (-.f64 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 (sqrt.f64 (fma.f64 a a (*.f64 (*.f64 b c) -4))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 b (*.f64 c -4)))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 b -4) (*.f64 a a))) a) (*.f64 b 2))
(*.f64 (-.f64 a (sqrt.f64 (fma.f64 (*.f64 b c) -4 (*.f64 a a)))) (/.f64 -1/2 b))
(*.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -4) (*.f64 a a)))) (/.f64 -1/2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 2 c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 -4 (*.f64 a c))))) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) b) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 c 2))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 c))
(*.f64 (/.f64 1/2 c) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 a b))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 b a))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 (*.f64 b a) -4))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 b a) -4 (*.f64 c c))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))) c) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c)))) a))
(*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))) c))
Compiler

Compiled 20 to 14 computations (30% saved)

simplify61.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01526
13422
26922
316122
425922
541722
673422
7132622
8261822
9387722
10559622
11672522
12757322
13766122
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 -4 (*.f64 a c))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) -4 (*.f64 b b))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) b) (*.f64 a 2))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) a) -1/2)
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (/.f64 -1/2 a))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
32.3b
Counts
3 → 2
Alt Table
StatusErrorProgram
32.4b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
▶32.4b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 111 to 75 computations (32.4% saved)

localize11.0ms (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)))
✓1.7b
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
✓21.0b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))

series27.0ms (0.3%)

Counts
4 → 96
Calls

36 calls:

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

rewrite116.0ms (1.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01574
134362
2490559
Stop Event
1×node limit
Counts
4 → 334
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (*.f64 (pow.f64 (*.f64 a c) 3) 64))) (sqrt.f64 (fma.f64 (*.f64 4 (*.f64 a c)) (fma.f64 b b (*.f64 4 (*.f64 a c))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(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 (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 hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) -4)) b)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b b (fma.f64 (*.f64 a c) -4 (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 b b (*.f64 b b)) (*.f64 4 (*.f64 a c))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (fma.f64 b b (fma.f64 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simplify84.0ms (1%)

Algorithm
1×egg-herbie
Rules
865×fma-def_binary64
673×associate-/l*_binary64
613×associate-/r*_binary64
553×fma-neg_binary64
389×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01672387
15482270
219942115
373662115
Stop Event
1×node limit
Counts
430 → 416
Calls
Call 1
Inputs
(sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) 3)))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) 3))))))
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)))))
(sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))
(+.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) (*.f64 -1 b))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) (*.f64 -1 b)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) (+.f64 (*.f64 -1 b) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) 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 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 2) (*.f64 a (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))))) (*.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) a))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 2) (*.f64 a (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 4) (*.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) 3)))) (*.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) 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 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
Outputs
(sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))
(sqrt.f64 (*.f64 (*.f64 c a) -4))
(sqrt.f64 (*.f64 a (*.f64 c -4)))
(sqrt.f64 (*.f64 c (*.f64 a -4)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))
(fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) -4))) (sqrt.f64 (*.f64 (*.f64 c a) -4)))
(fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 c -4)))) (sqrt.f64 (*.f64 a (*.f64 c -4))))
(fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)) (sqrt.f64 (*.f64 c (*.f64 a -4))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) -4))) (sqrt.f64 (*.f64 (*.f64 c a) -4))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) 3))))
(fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 c -4)))) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 3)) (sqrt.f64 (*.f64 a (*.f64 c -4)))))
(fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 3)) (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) 3))))))
(fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) 5)) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) -4))) (sqrt.f64 (*.f64 (*.f64 c a) -4))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) 3)))))
(fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 5)) (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 c -4)))) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 3)) (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 5)) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 3)) (sqrt.f64 (*.f64 c (*.f64 a -4))))))
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 (*.f64 c c)) (/.f64 (pow.f64 b 3) a))) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) (/.f64 (*.f64 (*.f64 -4 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (*.f64 a (*.f64 c c)) (/.f64 (pow.f64 b 3) a))) (*.f64 (/.f64 (*.f64 -4 (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 a 3))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 (*.f64 c a) b) (neg.f64 b))
(-.f64 (*.f64 2 (*.f64 (/.f64 c b) a)) b)
(-.f64 (*.f64 (/.f64 2 b) (*.f64 c a)) b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 (*.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 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)))) b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 (*.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) (-.f64 (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 2 (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 c (*.f64 a a)))))) 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 (*.f64 c c)) (/.f64 (pow.f64 b 3) a)))) 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 (*.f64 c c)) (/.f64 (pow.f64 b 3) a))) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) (/.f64 (*.f64 (*.f64 -4 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (*.f64 a (*.f64 c c)) (/.f64 (pow.f64 b 3) a))) (*.f64 (/.f64 (*.f64 -4 (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 a 3))))
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 (*.f64 c c)) (/.f64 (pow.f64 b 3) a))) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (+.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) (/.f64 (*.f64 (*.f64 -4 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (*.f64 a (*.f64 c c)) (/.f64 (pow.f64 b 3) a))) (*.f64 (/.f64 (*.f64 -4 (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 a 3))))
(sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))
(sqrt.f64 (*.f64 (*.f64 c a) -4))
(sqrt.f64 (*.f64 a (*.f64 c -4)))
(sqrt.f64 (*.f64 c (*.f64 a -4)))
(+.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) (*.f64 -1 b))
(+.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) (neg.f64 b))
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)
(-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) (*.f64 -1 b)))
(fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 (*.f64 c a) -4))) (+.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) (neg.f64 b)))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 c -4)))) (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)
(-.f64 (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)) (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)
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(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 b b (*.f64 a (*.f64 c -4)))
(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 b b (*.f64 a (*.f64 c -4)))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 (*.f64 c a) -4)
(*.f64 a (*.f64 c -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 b b (*.f64 a (*.f64 c -4)))
(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 b b (*.f64 a (*.f64 c -4)))
(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 b b (*.f64 a (*.f64 c -4)))
(fma.f64 c (*.f64 a -4) (*.f64 b b))
(*.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) a))
(*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) a))
(*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) a))
(*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 c (*.f64 a -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) a)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) a)))
(fma.f64 1/2 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) a) (/.f64 (*.f64 b -1/2) a))
(fma.f64 1/2 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) a) (/.f64 b (/.f64 a -1/2)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 2) (*.f64 a (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))))) (*.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) a))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 1/4 (/.f64 (/.f64 (*.f64 b b) a) (sqrt.f64 (*.f64 (*.f64 c a) -4))) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) a))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 1/2 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) a) (*.f64 (/.f64 1/4 a) (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 c -4)))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) a) (fma.f64 -1/2 (/.f64 b a) (/.f64 (*.f64 1/4 (/.f64 b (/.f64 a b))) (sqrt.f64 (*.f64 c (*.f64 a -4))))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 2) (*.f64 a (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a))))))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 4) (*.f64 a (pow.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) 3)))) (*.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (*.f64 4 (*.f64 c a)))) a)))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 1/4 (/.f64 (/.f64 (*.f64 b b) a) (sqrt.f64 (*.f64 (*.f64 c a) -4))) (fma.f64 -1/16 (/.f64 (pow.f64 b 4) (*.f64 a (pow.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 (*.f64 c a) -4)) a)))))
(fma.f64 -1/2 (/.f64 b a) (fma.f64 1/4 (*.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 1/2 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) a) (*.f64 (/.f64 -1/16 a) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) 3))))))
(fma.f64 1/4 (*.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (fma.f64 -1/2 (/.f64 b a) (fma.f64 -1/16 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 3)) (*.f64 (/.f64 1/2 a) (sqrt.f64 (*.f64 c (*.f64 a -4)))))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) (/.f64 c b))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (/.f64 -2 (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3))))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 -2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 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 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3))))) (/.f64 c b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 -2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))
(fma.f64 (/.f64 -1/4 (pow.f64 b 7)) (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) a) (-.f64 (*.f64 -2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)))
(-.f64 (+.f64 (/.f64 c b) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))) (/.f64 b a))
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 c b) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 (neg.f64 b) a))))
(+.f64 (/.f64 c b) (+.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 b) a)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))))
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (*.f64 (*.f64 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)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) (/.f64 c b))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (/.f64 -2 (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3))))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 -2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1/4 (/.f64 (pow.f64 a 3) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2)))) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 a 3) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (/.f64 -2 (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3)))))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (fma.f64 -1/4 (*.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 a 3) b)) (*.f64 -2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 (*.f64 a (*.f64 c c))) (pow.f64 b 3)) (/.f64 c b))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (/.f64 -2 (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3))))) (/.f64 c b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 -2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (/.f64 (pow.f64 c 4) (/.f64 (*.f64 a b) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2)))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) b)) (-.f64 (/.f64 -2 (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3))))) (/.f64 c b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 -1/4 (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) (*.f64 a b))) (-.f64 (*.f64 -2 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))

prune959.0ms (10.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New40511416
Fresh011
Picked101
Done000
Total40612418
Error
5.1b
Counts
418 → 12
Alt Table
StatusErrorProgram
44.9b
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
▶32.4b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
47.2b
(pow.f64 (/.f64 (+.f64 a a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) -1)
44.3b
(-.f64 (/.f64 c b) (/.f64 b a))
60.0b
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3) (pow.f64 (+.f64 a a) 3)))
48.6b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 2 a))
55.1b
(cbrt.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3))
32.5b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a c))) 2)) (cbrt.f64 (*.f64 4 (*.f64 a c))) (*.f64 b b)))) (*.f64 2 a))
39.7b
(/.f64 (neg.f64 c) b)
32.5b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 -4 (pow.f64 (cbrt.f64 (*.f64 a c)) 2)) (cbrt.f64 (*.f64 a c)) (*.f64 b b)))) (*.f64 2 a))
54.8b
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (*.f64 2 a))
37.9b
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (*.f64 2 a))
Compiler

Compiled 12262 to 6982 computations (43.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
✓0.8b
(fma.f64 b b (*.f64 a (*.f64 c -4)))
✓1.7b
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b)
✓21.0b
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))

series16.0ms (0.2%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
1.0ms
b
@0
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
1.0ms
b
@0
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
1.0ms
a
@inf
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
0.0ms
a
@-inf
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
0.0ms
c
@inf
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))

rewrite86.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
737×prod-diff_binary64
675×log-prod_binary64
315×fma-def_binary64
249×expm1-udef_binary64
249×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01362
128159
2363459
Stop Event
1×node limit
Counts
4 → 206
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b)
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) (/.f64 1/2 a) (*.f64 (neg.f64 b) (/.f64 1/2 a)))))) (#(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) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))))))))

simplify80.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
873×fma-def_binary64
671×associate-/l*_binary64
556×associate-/r*_binary64
556×fma-neg_binary64
387×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01662389
15362274
219532117
371392117
Stop Event
1×node limit
Counts
302 → 288
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 -4 (*.f64 c a)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3)))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 5))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))))))
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)))))
(sqrt.f64 (*.f64 -4 (*.f64 c a)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (*.f64 -1 b))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 -1 b)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (+.f64 (*.f64 -1 b) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 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 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 -4 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a)))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 2) (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 2) (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 4) (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3) a))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 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 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
Outputs
(sqrt.f64 (*.f64 -4 (*.f64 c a)))
(sqrt.f64 (*.f64 c (*.f64 a -4)))
(sqrt.f64 (*.f64 a (*.f64 -4 c)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (*.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (sqrt.f64 (*.f64 c (*.f64 a -4))))
(fma.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) b) (sqrt.f64 (*.f64 a (*.f64 -4 c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3)))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3)))))
(+.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 (*.f64 -1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 3))))
(fma.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) b) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 3)) (sqrt.f64 (*.f64 a (*.f64 -4 c)))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 5))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 5)) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 3)) (/.f64 (*.f64 1/16 (pow.f64 b 6)) (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 5))))
(+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (fma.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) b) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 3)) (/.f64 (*.f64 1/16 (pow.f64 b 6)) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 5)))))
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 (*.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 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 a (/.f64 c b))) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(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 -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 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (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 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 a (/.f64 c b))))))
(*.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 (/.f64 c b) a)) b)
(fma.f64 2 (*.f64 a (/.f64 c b)) (neg.f64 b))
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (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 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 a (/.f64 c b)))) 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) (-.f64 (fma.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))) b))
(fma.f64 4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (*.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 a (/.f64 c b)))) b))
(fma.f64 2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 a (/.f64 c b))) (fma.f64 (/.f64 4 (pow.f64 b 5)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (neg.f64 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 (*.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 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 a (/.f64 c b))) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(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 -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 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (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 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 a (/.f64 c b))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 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 (*.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 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 a (/.f64 c b))) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(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 -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 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (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 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 a (/.f64 c b))))))
(sqrt.f64 (*.f64 -4 (*.f64 c a)))
(sqrt.f64 (*.f64 c (*.f64 a -4)))
(sqrt.f64 (*.f64 a (*.f64 -4 c)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (*.f64 -1 b))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (neg.f64 b))
(-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 -1 b)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (neg.f64 b)))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) b) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) b)
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (+.f64 (*.f64 -1 b) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (fma.f64 -1 b (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))))))
(+.f64 (-.f64 (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 c (*.f64 a -4)))) (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) (/.f64 (*.f64 -1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 3)))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) b) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 3)) (sqrt.f64 (*.f64 a (*.f64 -4 c))))) b)
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 3)) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c)))) b) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) b))
(*.f64 -2 (/.f64 (*.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(*.f64 -2 (*.f64 (/.f64 c b) a))
(*.f64 -2 (*.f64 a (/.f64 c b)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 (/.f64 (*.f64 c a) b)))
(*.f64 -2 (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (/.f64 c (/.f64 b a))))
(*.f64 -2 (+.f64 (*.f64 (/.f64 c b) a) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))
(*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 a (/.f64 c b))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) 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))) (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (*.f64 -2 (*.f64 (/.f64 c b) a))))
(fma.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 a (/.f64 c 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)))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 (*.f64 (*.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))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 -1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (*.f64 -2 (*.f64 (/.f64 c b) a)))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 -4 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 -2 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a a) (*.f64 a (/.f64 c 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 2 (*.f64 (/.f64 c b) a) (*.f64 b -2))
(fma.f64 2 (*.f64 a (/.f64 c b)) (*.f64 b -2))
(+.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)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (*.f64 2 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 b 3)))))
(fma.f64 2 (*.f64 (/.f64 c b) a) (fma.f64 b -2 (*.f64 2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))))
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(fma.f64 -1 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.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 a (*.f64 c c)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (*.f64 c c) (*.f64 a a))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (*.f64 4 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7))) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 -1/4 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (*.f64 a (pow.f64 b 7))) (-.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))
(fma.f64 (/.f64 -1/4 (*.f64 a (pow.f64 b 7))) (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (-.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)))
(+.f64 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))) (-.f64 (/.f64 c b) (/.f64 b a)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (-.f64 (/.f64 c b) (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (+.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 (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 a (/.f64 (pow.f64 b 3) (*.f64 c c)))))
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)) (/.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)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 (*.f64 c (*.f64 c a))) (pow.f64 b 3)) (/.f64 c b))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1/4 (/.f64 (pow.f64 a 3) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (/.f64 (*.f64 -2 (*.f64 c c)) (pow.f64 b 3)) 2)))) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 a 3) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (*.f64 -2 (*.f64 (/.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 (fma.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)) (*.f64 (/.f64 -1/4 b) (*.f64 (pow.f64 a 3) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20)))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 (*.f64 c (*.f64 c a))) (pow.f64 b 3)) (/.f64 c b))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(-.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (/.f64 (*.f64 -2 (*.f64 a a)) (pow.f64 b 3)) 2)) b)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) b)) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))
(fma.f64 (*.f64 -1/4 (/.f64 (pow.f64 c 4) a)) (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) b) (-.f64 (*.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)) (*.f64 (*.f64 (pow.f64 c 4) (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) b)) (/.f64 -1/4 a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))

prune502.0ms (5.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New2808288
Fresh7411
Picked011
Done000
Total28713300
Error
5.1b
Counts
300 → 13
Alt Table
StatusErrorProgram
44.9b
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
✓32.4b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
37.9b
(*.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) b) (/.f64 1/2 a))
39.7b
(/.f64 (neg.f64 c) b)
44.3b
(-.f64 (/.f64 c b) (/.f64 b a))
43.2b
(*.f64 (*.f64 -2 (*.f64 a (/.f64 c b))) (/.f64 1/2 a))
47.3b
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) 3))
31.6b
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2)))
48.5b
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) (pow.f64 b 3)) 1/2) (*.f64 (fma.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 a (*.f64 c -4) (*.f64 b b))) a))
48.6b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 2 a))
▶31.6b
(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
44.5b
(*.f64 (fma.f64 2 (*.f64 a (/.f64 c b)) (*.f64 b -2)) (/.f64 1/2 a))
32.5b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a c))) 2)) (cbrt.f64 (*.f64 4 (*.f64 a c))) (*.f64 b b)))) (*.f64 2 a))
Compiler

Compiled 7632 to 4764 computations (37.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))
✓0.1b
(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
✓1.4b
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)
✓13.6b
(sqrt.f64 (*.f64 a (*.f64 c -4)))

series51.0ms (0.6%)

Counts
4 → 38
Calls

33 calls:

TimeVariablePointExpression
7.0ms
a
@inf
(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
4.0ms
a
@0
(sqrt.f64 (*.f64 a (*.f64 c -4)))
4.0ms
a
@0
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)
3.0ms
a
@-inf
(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
3.0ms
c
@-inf
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)

rewrite299.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
937×prod-diff_binary64
763×log-prod_binary64
319×egg-rr
260×fma-def_binary64
255×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01357
128657
2392257
Stop Event
1×node limit
Counts
4 → 462
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a (*.f64 c -4)))
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)
(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
(hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))
Outputs
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(*.f64 b (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))) (sqrt.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (/.f64 1/2 a))) (neg.f64 (*.f64 b (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) 2) (neg.f64 (*.f64 b (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) a) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) 2) (neg.f64 (*.f64 b (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) a) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) 2) (neg.f64 (*.f64 b (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) 2) (/.f64 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#<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (cbrt.f64 (+.f64 a a))) (neg.f64 (*.f64 b (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (cbrt.f64 (+.f64 a a))) (neg.f64 (*.f64 b (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (sqrt.f64 (+.f64 a a))) (neg.f64 (*.f64 b (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (sqrt.f64 (+.f64 a a))) (neg.f64 (*.f64 b (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (sqrt.f64 (+.f64 a a))) (/.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (sqrt.f64 (+.f64 a a))) (neg.f64 (*.f64 b (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 1/2 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) 1)))) (#(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 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) 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 sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b))))))) (#(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 log1p.f64 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b)))))))

simplify94.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
784×times-frac_binary64
554×fma-def_binary64
443×associate-/l*_binary64
385×associate-*r*_binary64
374×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01321429
13821314
211731210
360851115
Stop Event
1×node limit
Counts
500 → 531
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 -4 (*.f64 c a)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (*.f64 -1 b))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 -1 b)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (+.f64 (*.f64 -1 b) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))))))
(*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 5)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 8)) (pow.f64 (*.f64 -1/8 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4)) 2)) (pow.f64 b 7))) (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -2 b))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -2 b)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -2 b))))
(*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a)))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 2) (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 b 2) (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 4) (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3) a))) (+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a)))))
(*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b)))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b))) (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (*.f64 a (pow.f64 b 3)))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (*.f64 a (pow.f64 b 3)))) (*.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (*.f64 a (pow.f64 b 5))))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 8)) (pow.f64 (*.f64 -1/8 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4)) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (*.f64 a (pow.f64 b 3)))) (*.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (*.f64 a (pow.f64 b 5)))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b))) (*.f64 -1 (/.f64 b a)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (*.f64 a (pow.f64 b 3)))) (*.f64 -1 (/.f64 b a))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (*.f64 a (pow.f64 b 5)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (*.f64 a (pow.f64 b 3)))) (*.f64 -1 (/.f64 b a)))))
(sqrt.f64 (*.f64 -4 (*.f64 c a)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3)))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 5))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))))))
b
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) b)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) b))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) (+.f64 b (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 5))))))
(*.f64 -1 b)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -1 b))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -1 b)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -1 b))))
b
b
Outputs
(sqrt.f64 (*.f64 -4 (*.f64 c a)))
(sqrt.f64 (*.f64 a (*.f64 -4 c)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (*.f64 -1 b))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (neg.f64 b))
(-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 -1 b)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (neg.f64 b)))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) b)
(fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b))
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(-.f64 (/.f64 (*.f64 c a) (*.f64 a b)) (/.f64 b a))
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(fma.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b)) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (*.f64 a (pow.f64 b 3))) (neg.f64 (/.f64 b a))))
(-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 a (*.f64 -4 c)) a) b) -1/4 (*.f64 (/.f64 1/16 a) (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4) (pow.f64 b 3)))) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) 1) (*.f64 c a)) (*.f64 a (pow.f64 b 3))) (-.f64 (/.f64 (*.f64 (*.f64 c a) 1) (*.f64 a b)) (/.f64 b a)))
(-.f64 (*.f64 (*.f64 1 (/.f64 (*.f64 -4 c) b)) (+.f64 -1/4 (/.f64 (*.f64 -1/4 (*.f64 c a)) (*.f64 b b)))) (/.f64 b a))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (*.f64 a (pow.f64 b 5)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (*.f64 a (pow.f64 b 3)))) (*.f64 -1 (/.f64 b a)))))
(fma.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (*.f64 a (pow.f64 b 5))) (fma.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b)) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (*.f64 a (pow.f64 b 3))) (neg.f64 (/.f64 b a)))))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 6) (*.f64 a (pow.f64 b 5))) -1/32 (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 a (*.f64 -4 c)) a) b) -1/4 (*.f64 (/.f64 1/16 a) (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4) (pow.f64 b 3)))) (/.f64 b a)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) 1) (*.f64 c a)) (*.f64 a (pow.f64 b 3))) (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3) (*.f64 a (pow.f64 b 5))) -1/32 (/.f64 (*.f64 (*.f64 c a) 1) (*.f64 a b))) (/.f64 b a)))
(fma.f64 (/.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3) (*.f64 a (pow.f64 b 5))) -1/32 (-.f64 (*.f64 (*.f64 1 (/.f64 (*.f64 -4 c) b)) (+.f64 -1/4 (/.f64 (*.f64 -1/4 (*.f64 c a)) (*.f64 b b)))) (/.f64 b a)))
(sqrt.f64 (*.f64 -4 (*.f64 c a)))
(sqrt.f64 (*.f64 a (*.f64 -4 c)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (/.f64 (*.f64 1/2 (*.f64 b b)) (sqrt.f64 (*.f64 -4 (*.f64 c a)))))
(fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (sqrt.f64 (*.f64 a (*.f64 -4 c))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3)))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (/.f64 (*.f64 -1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))))
(+.f64 (/.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 3) (pow.f64 b 4))) (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (sqrt.f64 (*.f64 a (*.f64 -4 c)))))
(fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 3)) (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (sqrt.f64 (*.f64 a (*.f64 -4 c)))))
(+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 b b) -1/8) (*.f64 a (*.f64 -4 c))))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 5))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 5)) (/.f64 (*.f64 -1/8 (pow.f64 b 4)) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 5)) (/.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 3) (pow.f64 b 4)))))
(+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 3)) (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (/.f64 (pow.f64 b 6) (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 5) 1/16)))))
(+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 5)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 b b) -1/8) (*.f64 a (*.f64 -4 c)))))))
b
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) b)
(fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b) b)
(fma.f64 1/2 (/.f64 (*.f64 a (*.f64 -4 c)) b) b)
(+.f64 b (/.f64 (*.f64 (*.f64 c a) -2) b))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) b))
(fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3)) b))
(fma.f64 1/2 (/.f64 (*.f64 a (*.f64 -4 c)) b) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4) (pow.f64 b 3)) b))
(+.f64 b (+.f64 (/.f64 (*.f64 (*.f64 c a) -2) b) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) -2)) (pow.f64 b 3))))
(+.f64 b (*.f64 (/.f64 a (/.f64 b (*.f64 -4 c))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 c a) 1/2) (*.f64 b b)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) (+.f64 b (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3)) b) (/.f64 (*.f64 1/16 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6)) (pow.f64 b 5))))
(fma.f64 1/2 (/.f64 (*.f64 a (*.f64 -4 c)) b) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 6) (pow.f64 b 5)) b)))
(+.f64 b (+.f64 (/.f64 (*.f64 (*.f64 c a) -2) b) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3) (pow.f64 b 5)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) -2)) (pow.f64 b 3)))))
(+.f64 b (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3) (pow.f64 b 5)) (*.f64 (/.f64 a (/.f64 b (*.f64 -4 c))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 c a) 1/2) (*.f64 b b))))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -1 b))
(fma.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b) (neg.f64 b))
(-.f64 (*.f64 (/.f64 (*.f64 a (*.f64 -4 c)) b) -1/2) b)
(-.f64 (/.f64 (*.f64 (*.f64 c a) 2) b) b)
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -1 b)))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b) (neg.f64 b)))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4) (pow.f64 b 3)) 1/8 (-.f64 (*.f64 (/.f64 (*.f64 a (*.f64 -4 c)) b) -1/2) b))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) 2) (*.f64 c a)) (pow.f64 b 3)) (-.f64 (/.f64 (*.f64 (*.f64 c a) 2) b) b))
(-.f64 (*.f64 (/.f64 a (/.f64 b (*.f64 -4 c))) (+.f64 -1/2 (/.f64 (*.f64 -1/2 (*.f64 c a)) (*.f64 b b)))) b)
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -1 b))))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3)) (fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b) (neg.f64 b))))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4) (pow.f64 b 3)) 1/8 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 6) (pow.f64 b 5)) -1/16 (-.f64 (*.f64 (/.f64 (*.f64 a (*.f64 -4 c)) b) -1/2) b)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) 2) (*.f64 c a)) (pow.f64 b 3)) (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3) (pow.f64 b 5)) -1/16 (/.f64 (*.f64 (*.f64 c a) 2) b)) b))
(-.f64 (*.f64 (/.f64 a (/.f64 b (*.f64 -4 c))) (+.f64 -1/2 (/.f64 (*.f64 -1/2 (*.f64 c a)) (*.f64 b b)))) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3) (pow.f64 b 5)) b))
b
b

prune1.5s (17.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New5265531
Fresh6511
Picked011
Done101
Total53311544
Error
2.2b
Counts
544 → 11
Alt Table
StatusErrorProgram
47.3b
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 1/2 a)) 3))
39.7b
(/.f64 (neg.f64 c) b)
41.0b
(*.f64 (*.f64 1 (/.f64 (*.f64 -4 c) b)) (+.f64 1/4 (/.f64 (*.f64 1/4 (*.f64 c a)) (*.f64 b b))))
44.5b
(*.f64 (fma.f64 2 (*.f64 a (/.f64 c b)) (*.f64 b -2)) (/.f64 1/2 a))
48.5b
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) (pow.f64 b 3)) 1/2) (*.f64 (fma.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 a (*.f64 c -4) (*.f64 b b))) a))
48.6b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 2 a))
44.3b
(-.f64 (/.f64 c b) (/.f64 b a))
43.1b
(/.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) (*.f64 a 2))
✓31.6b
(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
31.7b
(/.f64 (-.f64 (hypot.f64 b (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) (cbrt.f64 (*.f64 a (*.f64 c -4))))) b) (*.f64 a 2))
▶31.6b
(pow.f64 (*.f64 2 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))) -1)
Compiler

Compiled 23260 to 12662 computations (45.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))
✓0.1b
(pow.f64 (*.f64 2 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))) -1)
✓1.4b
(-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)
13.6b
(sqrt.f64 (*.f64 a (*.f64 c -4)))

series88.0ms (1%)

Counts
3 → 36
Calls

27 calls:

TimeVariablePointExpression
21.0ms
c
@inf
(pow.f64 (*.f64 2 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))) -1)
9.0ms
a
@-inf
(/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))
9.0ms
c
@-inf
(pow.f64 (*.f64 2 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))) -1)
6.0ms
a
@inf
(pow.f64 (*.f64 2 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))) -1)
6.0ms
a
@-inf
(pow.f64 (*.f64 2 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))) -1)

rewrite85.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
792×log-prod_binary64
569×prod-diff_binary64
279×expm1-udef_binary64
279×log1p-udef_binary64
271×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01557
132754
2416354
Stop Event
1×node limit
Counts
3 → 158
Calls
Call 1
Inputs
(-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b)
(pow.f64 (*.f64 2 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))) -1)
(/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))
Outputs
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simplify59.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
910×associate-/r*_binary64
556×associate-*l/_binary64
497×associate-*r/_binary64
249×distribute-rgt-in_binary64
244×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02262275
17612027
230441924
Stop Event
1×node limit
Counts
194 → 229
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 -4 (*.f64 c a)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (*.f64 -1 b))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 -1 b)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (+.f64 (*.f64 -1 b) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))))))
(*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 5)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 8)) (pow.f64 (*.f64 -1/8 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4)) 2)) (pow.f64 b 7))) (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -2 b))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -2 b)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -2 b))))
(*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a)) (*.f64 (pow.f64 b 2) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (+.f64 (*.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))) (*.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))))) (pow.f64 a 2)))))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))) (*.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))))) (pow.f64 a 2))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (+.f64 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4)) (*.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4))))) (pow.f64 a 2))) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))) (*.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))))) (pow.f64 a 2)))))) (pow.f64 b 3)) (+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a)) (*.f64 (pow.f64 b 2) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (+.f64 (*.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))) (*.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))))) (pow.f64 a 2))))))))
(*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b)))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b))) (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (*.f64 a (pow.f64 b 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a)) (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a)))) (pow.f64 a 2))) (*.f64 -1/64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) a))) (pow.f64 b 5))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b))) (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (*.f64 a (pow.f64 b 3))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (+.f64 (*.f64 -1/64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) a)) (*.f64 -1/8 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a)) (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a))) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4)) (pow.f64 a 2)))))) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a)) (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a)))) (pow.f64 a 2))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (+.f64 (*.f64 -2 (/.f64 (*.f64 a (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4)) 2) (*.f64 1/16 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 8)))) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) a)) (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a)) (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a)))))))) (pow.f64 a 2))))) (pow.f64 b 7))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a)) (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a)))) (pow.f64 a 2))) (*.f64 -1/64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) a))) (pow.f64 b 5))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b))) (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (*.f64 a (pow.f64 b 3)))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b))) (*.f64 -1 (/.f64 b a)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (*.f64 a (pow.f64 b 3)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (*.f64 a (pow.f64 b 3)))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) a)) (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) a)))) (pow.f64 b 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (*.f64 a (pow.f64 b 3)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) a)) (*.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) a))) (*.f64 (pow.f64 a 2) (pow.f64 b 5)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (*.f64 a (pow.f64 b 3)))) (+.f64 (*.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (*.f64 a (pow.f64 b 5)))) (*.f64 -1 (/.f64 b a))))))))
(/.f64 a (sqrt.f64 (*.f64 -4 (*.f64 c a))))
(+.f64 (/.f64 (*.f64 a b) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2)) (/.f64 a (sqrt.f64 (*.f64 -4 (*.f64 c a)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))) (*.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3)))))) (+.f64 (/.f64 (*.f64 a b) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2)) (/.f64 a (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))) (*.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3)))))) (+.f64 (/.f64 (*.f64 a b) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4)) (*.f64 -1 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4)))) (pow.f64 b 3))) (/.f64 a (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(*.f64 2 (/.f64 (*.f64 a b) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2)))
(+.f64 (*.f64 1/2 (/.f64 a b)) (*.f64 2 (/.f64 (*.f64 a b) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a)) (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 a b)) (*.f64 2 (/.f64 (*.f64 a b) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a)) (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 a (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4)) 2) (*.f64 1/16 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 8)))) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) a)) (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a)) (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a))))))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 a b)) (*.f64 2 (/.f64 (*.f64 a b) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2))))))
(*.f64 -1/2 (/.f64 a b))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 a b)))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) a) (pow.f64 b 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 a b))))
(+.f64 (*.f64 1/128 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) a) (pow.f64 b 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) a) (pow.f64 b 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a) (pow.f64 b 3))) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) a) (pow.f64 b 7))) (*.f64 -1/2 (/.f64 a b))))))
Outputs
(sqrt.f64 (*.f64 -4 (*.f64 c a)))
(sqrt.f64 (*.f64 a (*.f64 -4 c)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (*.f64 -1 b))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (neg.f64 b))
(-.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) b)
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 -1 b)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (neg.f64 b)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (-.f64 (*.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))) b))
(+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (neg.f64 b)))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (+.f64 (*.f64 -1 b) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (fma.f64 -1 b (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (fma.f64 1/2 (/.f64 b (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)) (-.f64 (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))) b)))
(+.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (-.f64 (*.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 3)) (pow.f64 b 4)) b)))
(*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b))
(*.f64 1/2 (/.f64 (*.f64 -4 (*.f64 c a)) b))
(*.f64 (/.f64 1/2 b) (*.f64 a (*.f64 -4 c)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b) (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))))
(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3)) (*.f64 1/2 (/.f64 (*.f64 -4 (*.f64 c a)) b)))
(fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4) (pow.f64 b 3)) (*.f64 (/.f64 1/2 b) (*.f64 a (*.f64 -4 c))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 5)))))
(fma.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3)) (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 5)))))
(fma.f64 1/2 (/.f64 (*.f64 -4 (*.f64 c a)) b) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3)) (/.f64 1/16 (/.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6)))))
(fma.f64 1/2 (/.f64 (*.f64 a (*.f64 -4 c)) b) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4) (pow.f64 b 3)) (*.f64 (/.f64 1/16 (pow.f64 b 5)) (pow.f64 (*.f64 a (*.f64 -4 c)) 3))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 8)) (pow.f64 (*.f64 -1/8 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4)) 2)) (pow.f64 b 7))) (*.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 5))))))
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(+.f64 (fma.f64 2 (*.f64 (/.f64 a (*.f64 a (*.f64 -4 c))) b) (*.f64 (/.f64 1/2 b) a)) (*.f64 -1/8 (/.f64 (*.f64 a (*.f64 -4 c)) (/.f64 (pow.f64 b 3) a))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a)) (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 a (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4)) 2) (*.f64 1/16 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 8)))) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) a)) (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a)) (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a))))))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 a b)) (*.f64 2 (/.f64 (*.f64 a b) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2))))))
(fma.f64 -1 (/.f64 (*.f64 (*.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2)) 1/8) (pow.f64 b 3)) (fma.f64 -1 (/.f64 (fma.f64 -2 (/.f64 a (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (fma.f64 1/16 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 8) (pow.f64 (*.f64 -1/8 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4)) 2)))) (fma.f64 1/16 (*.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4)) (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 (*.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2)) 1/8))))) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 a b) (/.f64 (*.f64 2 (*.f64 a b)) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2)))))
(-.f64 (-.f64 (fma.f64 2 (*.f64 (/.f64 a (*.f64 -4 (*.f64 c a))) b) (*.f64 1/2 (/.f64 a b))) (/.f64 (fma.f64 -2 (*.f64 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4)) (fma.f64 1/16 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 8) (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 8) 1/64))) (fma.f64 1/16 (*.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4)) (*.f64 1/4 (*.f64 (*.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4)) 1/8)))) (pow.f64 b 5))) (/.f64 (*.f64 (*.f64 -4 (*.f64 c a)) 1/8) (/.f64 (pow.f64 b 3) a)))
(-.f64 (+.f64 (fma.f64 2 (*.f64 (/.f64 a (*.f64 a (*.f64 -4 c))) b) (*.f64 (/.f64 1/2 b) a)) (*.f64 -1/8 (/.f64 (*.f64 a (*.f64 -4 c)) (/.f64 (pow.f64 b 3) a)))) (/.f64 (fma.f64 -2 (*.f64 (/.f64 a (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 8) 5/64)) (fma.f64 1/4 (*.f64 (*.f64 a (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4)) 1/8) (*.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4) (*.f64 a 1/16)))) (pow.f64 b 5)))
(*.f64 -1/2 (/.f64 a b))
(/.f64 (*.f64 a -1/2) b)
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 a b)))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (/.f64 (pow.f64 b 3) a)) (*.f64 -1/2 (/.f64 a b)))
(fma.f64 -1/2 (/.f64 a b) (/.f64 (*.f64 (*.f64 -4 (*.f64 c a)) 1/8) (/.f64 (pow.f64 b 3) a)))
(fma.f64 -1/2 (/.f64 a b) (/.f64 (*.f64 (*.f64 a (*.f64 -4 c)) 1/8) (/.f64 (pow.f64 b 3) a)))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) a) (pow.f64 b 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 a b))))
(fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (/.f64 (pow.f64 b 5) a)) (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (/.f64 (pow.f64 b 3) a)) (*.f64 -1/2 (/.f64 a b))))
(fma.f64 -1/16 (/.f64 a (/.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4))) (fma.f64 -1/2 (/.f64 a b) (/.f64 (*.f64 (*.f64 -4 (*.f64 c a)) 1/8) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/16 (*.f64 (/.f64 a (pow.f64 b 5)) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4)) (fma.f64 -1/2 (/.f64 a b) (/.f64 (*.f64 (*.f64 a (*.f64 -4 c)) 1/8) (/.f64 (pow.f64 b 3) a))))
(+.f64 (*.f64 1/128 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) a) (pow.f64 b 7))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) a) (pow.f64 b 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) a) (pow.f64 b 3))) (+.f64 (*.f64 1/32 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) a) (pow.f64 b 7))) (*.f64 -1/2 (/.f64 a b))))))
(fma.f64 1/128 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (/.f64 (pow.f64 b 7) a)) (fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (/.f64 (pow.f64 b 5) a)) (fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (/.f64 (pow.f64 b 3) a)) (fma.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (/.f64 (pow.f64 b 7) a)) (*.f64 -1/2 (/.f64 a b))))))
(fma.f64 1/128 (*.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 7)) a) (fma.f64 -1/16 (/.f64 a (/.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4))) (fma.f64 1/8 (*.f64 (/.f64 (*.f64 -4 (*.f64 c a)) (pow.f64 b 3)) a) (fma.f64 -1/2 (/.f64 a b) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 7)) a))))))
(fma.f64 1/128 (*.f64 (/.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3) (pow.f64 b 7)) a) (fma.f64 -1/16 (*.f64 (/.f64 a (pow.f64 b 5)) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4)) (fma.f64 1/8 (/.f64 (*.f64 a (*.f64 -4 c)) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/2 (/.f64 a b) (*.f64 1/32 (*.f64 (/.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3) (pow.f64 b 7)) a))))))

prune508.0ms (5.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New2536259
Fresh279
Picked101
Done011
Total25614270
Error
2.2b
Counts
270 → 14
Alt Table
StatusErrorProgram
42.8b
(pow.f64 (*.f64 2 (fma.f64 2 (*.f64 (/.f64 a (*.f64 a (*.f64 -4 c))) b) (*.f64 (/.f64 1/2 b) a))) -1)
48.8b
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b))) -2))
43.1b
(pow.f64 (*.f64 2 (/.f64 a (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b))) -1)
44.1b
(/.f64 (neg.f64 b) a)
44.3b
(-.f64 (/.f64 c b) (/.f64 b a))
41.0b
(*.f64 (*.f64 1 (/.f64 (*.f64 -4 c) b)) (+.f64 1/4 (/.f64 (*.f64 1/4 (*.f64 c a)) (*.f64 b b))))
44.5b
(*.f64 (fma.f64 2 (*.f64 a (/.f64 c b)) (*.f64 b -2)) (/.f64 1/2 a))
39.7b
(/.f64 (neg.f64 c) b)
43.1b
(/.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) (*.f64 a 2))
31.7b
(pow.f64 (*.f64 2 (*.f64 a (/.f64 1 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b)))) -1)
✓31.6b
(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
31.7b
(/.f64 (-.f64 (hypot.f64 b (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) (cbrt.f64 (*.f64 a (*.f64 c -4))))) b) (*.f64 a 2))
31.6b
(*.f64 (/.f64 1 (*.f64 a 2)) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b))
48.5b
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) (pow.f64 b 3)) 1/2) (*.f64 (fma.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 a (*.f64 c -4) (*.f64 b b))) a))
Compiler

Compiled 8281 to 5458 computations (34.1% saved)

regimes436.0ms (5%)

Accuracy

Total -54.9b remaining (-612.4%)

Threshold costs -54.9b (-612.4%)

Counts
32 → 3
Calls
Call 1
Inputs
(pow.f64 (*.f64 2 (fma.f64 2 (*.f64 (/.f64 a (*.f64 a (*.f64 -4 c))) b) (*.f64 (/.f64 1/2 b) a))) -1)
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b))) -2))
(pow.f64 (*.f64 2 (/.f64 a (-.f64 (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4))) b) b))) -1)
(/.f64 (neg.f64 b) a)
(pow.f64 (*.f64 2 (*.f64 a (/.f64 1 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b)))) -1)
(*.f64 (/.f64 1 (*.f64 a 2)) (-.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) b) b))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b) (/.f64 1/2 a)) 3))
(*.f64 (*.f64 1 (/.f64 (*.f64 -4 c) b)) (+.f64 1/4 (/.f64 (*.f64 1/4 (*.f64 c a)) (*.f64 b b))))
(/.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) (*.f64 a 2))
(/.f64 (-.f64 (hypot.f64 b (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 c -4)))) (cbrt.f64 (*.f64 a (*.f64 c -4))))) b) (*.f64 a 2))
(pow.f64 (*.f64 2 (/.f64 a (-.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) b))) -1)
(*.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) b) (/.f64 1/2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (*.f64 -2 (*.f64 a (/.f64 c b))) (/.f64 1/2 a))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) 3))
(/.f64 1 (/.f64 a (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) 3/2) (pow.f64 b 3)) 1/2) (*.f64 (fma.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (fma.f64 a (*.f64 c -4) (*.f64 b b))) a))
(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
(*.f64 (fma.f64 2 (*.f64 a (/.f64 c b)) (*.f64 b -2)) (/.f64 1/2 a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(pow.f64 (/.f64 (+.f64 a a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4))))) -1)
(-.f64 (/.f64 c b) (/.f64 b a))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) 3) (pow.f64 (+.f64 a a) 3)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (pow.f64 b 2))) (*.f64 2 a))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a c))) 2)) (cbrt.f64 (*.f64 4 (*.f64 a c))) (*.f64 b b)))) (*.f64 2 a))
(/.f64 (neg.f64 c) b)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 -4 (pow.f64 (cbrt.f64 (*.f64 a c)) 2)) (cbrt.f64 (*.f64 a c)) (*.f64 b b)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (*.f64 a (/.f64 c b)) b)) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) -4)))))) (*.f64 2 a))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (neg.f64 c) b)
Results
127.0ms22.2ba
47.0ms9.0bb
201.0ms22.5bc
43.0ms10.5b(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 556 to 339 computations (39% saved)

bsearch282.0ms (3.2%)

Algorithm
2×binary-search
Calls

2 calls:

276.0ms
b
6.0ms
b
Steps
ItersPointRange
2.5e-45
∈ [
2.4503580129748208e-45
, 
3.706259428002222e-41
]
-1e+155
∈ [
-2.83508708323344e+157
, 
-9.54566586719717e+153
]
Compiler

Compiled 290 to 209 computations (27.9% saved)

simplify4.0ms (0%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
02754
14652
26552
38052
48752
59052
69152
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 8034690221294951/3213876088517980551083924184682325205044405987565585670602752) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
Outputs
(if (<=.f64 b -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 8034690221294951/3213876088517980551083924184682325205044405987565585670602752) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 8034690221294951/3213876088517980551083924184682325205044405987565585670602752) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a))))) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 8034690221294951/3213876088517980551083924184682325205044405987565585670602752) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a)))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))

end25.0ms (0.3%)

Stop Event
1×fuel
Compiler

Compiled 76 to 48 computations (36.8% saved)

Profiling

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