Details

Time bar (total: 7.9s)

analyze1.1s (13.5%)

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
33.8%45.6%20.5%13
38.8%38.9%22.3%14
Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.3s (29.5%)

Results
778.0ms5424×body128valid
605.0ms1118×body2048valid
331.0ms743×body1024valid
280.0ms409×body4096valid
155.0ms1078×body128invalid
122.0ms368×body512valid
49.0ms194×body256valid

preprocess42.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
807×fma-def_binary64
679×div-sub_binary64
295×fma-neg_binary64
214×associate-/l*_binary64
209×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039104
19888
219888
344688
476888
5126188
6223688
7445888
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 (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 (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))
Compiler

Compiled 20 to 14 computations (30% saved)

simplify29.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
747×fma-neg_binary64
619×times-frac_binary64
338×fma-def_binary64
314×associate-/l*_binary64
262×div-sub_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01526
13422
26922
316122
425922
541722
673422
7132622
8261822
9387722
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))

eval1.0ms (0%)

Compiler

Compiled 35 to 23 computations (34.3% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
37.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
37.4b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
▶37.3b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 76 to 52 computations (31.6% saved)

localize10.0ms (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))
✓0.9b
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
✓1.2b
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
✓27.4b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))

series28.0ms (0.3%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
2.0ms
b
@inf
(-.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))))

rewrite79.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
277×log1p-udef_binary64
173×add-sqr-sqrt_binary64
166×*-un-lft-identity_binary64
166×pow1_binary64
162×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01574
134362
2490562
Stop Event
1×node limit
Counts
4 → 158
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.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) (sqrt.f64 (fma.f64 b b (*.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))) (sqrt.f64 (fma.f64 b b (*.f64 4 (*.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 (+.f64 (pow.f64 b 4) (*.f64 (*.f64 4 (*.f64 a c)) (fma.f64 b b (*.f64 4 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.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 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 b b (*.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 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (*.f64 (*.f64 a c) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 a c) -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (+.f64 (*.f64 (*.f64 a c) -4) (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (fma.f64 -4 (*.f64 a c) (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (fma.f64 (*.f64 (*.f64 a c) -4) 1 (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 4 (*.f64 a c)))) (pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a c))) 2) (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (fma.f64 (neg.f64 (*.f64 2 (sqrt.f64 (*.f64 a c)))) (*.f64 2 (sqrt.f64 (*.f64 a c))) (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (fma.f64 (neg.f64 c) (*.f64 4 a) (*.f64 4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 4 (*.f64 a c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (+.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 4 (*.f64 a c))) (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 a c) -4) (*.f64 4 (*.f64 a c))) (fma.f64 b b (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a c) -4) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) 2) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) 1/4) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 b 6) 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(cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) (pow.f64 (cbrt.f64 (*.f64 a 2)) 2)) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 a 2))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (sqrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) 2) (sqrt.f64 (*.f64 a 2))) (/.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) (sqrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a 2) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) 3) (pow.f64 (*.f64 a 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))))))))

simplify51.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
865×fma-def_binary64
672×associate-/l*_binary64
612×associate-/r*_binary64
158×associate-/r/_binary64
107×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01672387
15482270
219942115
Stop Event
1×node limit
Counts
254 → 241
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)))))
(*.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)))
(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 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 -4 c) a))
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b
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b
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b
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(*.f64 -1 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (*.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 (*.f64 (pow.f64 c 3) -2) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (*.f64 -2 (/.f64 (*.f64 a (*.f64 a (pow.f64 c 3))) (pow.f64 b 5))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.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 (*.f64 (pow.f64 c 3) -2) (/.f64 (pow.f64 b 5) (*.f64 a a)))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (fma.f64 -2 (/.f64 (*.f64 a (*.f64 a (pow.f64 c 3))) (pow.f64 b 5)) (*.f64 -1/4 (*.f64 (/.f64 (pow.f64 a 3) b) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20)))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) 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 c) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))))))
(-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 c 3) -2) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(-.f64 (*.f64 -2 (/.f64 (*.f64 a (*.f64 a (pow.f64 c 3))) (pow.f64 b 5))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2)) b)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) b)) (-.f64 (/.f64 (*.f64 (pow.f64 c 3) -2) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 c b))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(fma.f64 (/.f64 -1/4 a) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) b) (pow.f64 c 4)) (-.f64 (*.f64 -2 (/.f64 (*.f64 a (*.f64 a (pow.f64 c 3))) (pow.f64 b 5))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))

eval100.0ms (1.3%)

Compiler

Compiled 6322 to 3703 computations (41.4% saved)

prune289.0ms (3.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New23110241
Fresh011
Picked101
Done000
Total23211243
Error
6.1b
Counts
243 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
37.7b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (*.f64 2 a))
43.7b
(-.f64 (/.f64 c b) (/.f64 b a))
43.5b
(/.f64 (neg.f64 b) a)
57.2b
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (*.f64 (/.f64 a b) c) b)) (*.f64 2 a))
47.6b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))) 2) (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))))
47.4b
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) 2) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) a))
47.3b
(pow.f64 (/.f64 (*.f64 a 2) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) -1)
▶37.4b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
46.0b
(/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) (*.f64 2 a))
43.9b
(/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 2 (*.f64 (/.f64 a b) c)) b)) (*.f64 2 a))
41.4b
(/.f64 (neg.f64 c) b)
Compiler

Compiled 482 to 310 computations (35.7% saved)

localize9.0ms (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))
✓0.9b
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b)
✓1.5b
(fma.f64 b b (*.f64 a (*.f64 c -4)))
✓27.4b
(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))

rewrite89.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
737×prod-diff_binary64
142×add-sqr-sqrt_binary64
136×*-un-lft-identity_binary64
136×pow1_binary64
132×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01362
128159
2363459
Stop Event
1×node limit
Counts
4 → 158
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))
(fma.f64 b b (*.f64 a (*.f64 c -4)))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b)
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))
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simplify656.0ms (8.3%)

Algorithm
1×egg-herbie
Rules
873×fma-def_binary64
671×associate-/l*_binary64
557×associate-/r*_binary64
156×associate-/r/_binary64
107×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01662389
15362274
219532117
Stop Event
1×node limit
Counts
254 → 241
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)))))
(*.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)))
(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 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 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 a (*.f64 -4 c)))) (sqrt.f64 (*.f64 a (*.f64 -4 c))))
(fma.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) b) (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))) (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 a (*.f64 -4 c))) (fma.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (/.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 (sqrt.f64 (*.f64 -4 (*.f64 c a)))) b) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3)) (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 (*.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 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)) (/.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 5) (pow.f64 b 6)))))
(+.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (fma.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) b) (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3)) (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 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)
(+.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 (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 c b) a)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 (*.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 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (*.f64 -2 (*.f64 (/.f64 c b) a)))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 (/.f64 (*.f64 (pow.f64 c 3) -4) (pow.f64 b 5)) (pow.f64 a 3))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (*.f64 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 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 (/.f64 (pow.f64 b 3) c)) (*.f64 a a)))) b)
(-.f64 (*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 c b) a))) b)
(+.f64 (*.f64 2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (*.f64 (*.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 (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (*.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))) b))
(fma.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (-.f64 (*.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 c b) a))) 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)
(+.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 (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 c b) a)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 (*.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 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (*.f64 -2 (*.f64 (/.f64 c b) a)))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 (/.f64 (*.f64 (pow.f64 c 3) -4) (pow.f64 b 5)) (pow.f64 a 3))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b))))
(fma.f64 -2 (/.f64 (*.f64 (*.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 (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 c b) a)) b)
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (*.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -2 (/.f64 (*.f64 (*.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 b (fma.f64 -2 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (fma.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (*.f64 -2 (*.f64 (/.f64 c b) a)))))
(+.f64 b (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a) (*.f64 (/.f64 c b) a)) (*.f64 (/.f64 (*.f64 (pow.f64 c 3) -4) (pow.f64 b 5)) (pow.f64 a 3))))
(*.f64 -4 (*.f64 c a))
(*.f64 a (*.f64 -4 c))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 a (*.f64 -4 c))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 a (*.f64 -4 c))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(+.f64 (pow.f64 b 2) (*.f64 -4 (*.f64 c a)))
(+.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))
(fma.f64 -4 (*.f64 c a) (*.f64 b b))
(*.f64 -4 (*.f64 c a))
(*.f64 a (*.f64 -4 c))
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(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 -2 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 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 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(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 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (fma.f64 (/.f64 c (/.f64 (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 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (*.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 (*.f64 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 (/.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 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 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 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 a 3) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -2 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2))) b) (*.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 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (*.f64 (/.f64 (*.f64 -1/4 (pow.f64 a 3)) b) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)) (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (*.f64 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 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (*.f64 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 -2 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2)) b)) (fma.f64 -1 (/.f64 c b) (*.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) (*.f64 a b)) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (/.f64 (neg.f64 c) b))) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 c 4) (*.f64 a b)) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20)) (-.f64 (*.f64 -2 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a))) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))))

eval129.0ms (1.6%)

Compiler

Compiled 6059 to 3818 computations (37% saved)

prune291.0ms (3.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New2347241
Fresh7310
Picked101
Done000
Total24210252
Error
6.1b
Counts
252 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
43.6b
(*.f64 (*.f64 -2 b) (/.f64 1/2 a))
41.4b
(/.f64 (neg.f64 c) b)
43.7b
(-.f64 (/.f64 c b) (/.f64 b a))
46.2b
(/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b b)) (/.f64 1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
46.2b
(*.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 1/2 a))
▶32.1b
(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
43.5b
(/.f64 (neg.f64 b) a)
34.2b
(*.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b))) (/.f64 1/2 a))
57.1b
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a))
43.9b
(/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 2 (*.f64 (/.f64 a b) c)) b)) (*.f64 2 a))
Compiler

Compiled 336 to 228 computations (32.1% saved)

localize12.0ms (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))
✓0.4b
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)
✓13.4b
(sqrt.f64 (*.f64 a (*.f64 c -4)))

series50.0ms (0.6%)

Counts
4 → 38
Calls

33 calls:

TimeVariablePointExpression
8.0ms
a
@inf
(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
4.0ms
a
@-inf
(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
4.0ms
a
@0
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)
3.0ms
c
@-inf
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)
2.0ms
a
@-inf
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)

rewrite224.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
937×prod-diff_binary64
366×egg-rr
146×add-sqr-sqrt_binary64
140×pow1_binary64
139×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01357
128657
2392257
Stop Event
1×node limit
Counts
4 → 461
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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) (cbrt.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (cbrt.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a c) 1/2) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (*.f64 a c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (*.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -4 (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -4 (*.f64 a c)))))))))
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simplify61.0ms (0.8%)

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: 2 (0.0ms)

IterNodesCost
01321429
13821314
211731210
Stop Event
1×node limit
Counts
499 → 530
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))
(+.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 (*.f64 -1/8 (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 a (*.f64 -4 c)))) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) b) (/.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 3) (pow.f64 b 4))))
(-.f64 (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))))) b)
(*.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b))
(/.f64 (*.f64 1/2 (*.f64 a (*.f64 -4 c))) 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 -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 a (*.f64 -4 c))) 4) (pow.f64 b 3)) (/.f64 (*.f64 1/2 (*.f64 a (*.f64 -4 c))) b))
(+.f64 (/.f64 (*.f64 (*.f64 c a) -2) b) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) -2)) (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)))))
(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 (*.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)) (/.f64 1/16 (/.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 6)))))
(+.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 (*.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))))))
(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)) (fma.f64 -1/2 (/.f64 (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)) (pow.f64 b 7)) (/.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 -1/2 (/.f64 (fma.f64 1/16 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 8) (*.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 8) 1/64)) (pow.f64 b 7)) (/.f64 1/16 (/.f64 (pow.f64 b 5) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 6))))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 8) 5/64) (pow.f64 b 7)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) -2)) (pow.f64 b 3))) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3) (pow.f64 b 5)) (/.f64 (*.f64 (*.f64 c a) -2) b)))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -2 b))
(fma.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b) (*.f64 b -2))
(fma.f64 (/.f64 (*.f64 a (*.f64 -4 c)) b) -1/2 (*.f64 b -2))
(fma.f64 b -2 (/.f64 (*.f64 (*.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 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -2 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) (*.f64 b -2)))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4) (pow.f64 b 3)) 1/8 (fma.f64 (/.f64 (*.f64 a (*.f64 -4 c)) b) -1/2 (*.f64 b -2)))
(+.f64 (/.f64 (*.f64 (*.f64 c a) 2) b) (fma.f64 b -2 (/.f64 (*.f64 (*.f64 (*.f64 c a) 2) (*.f64 c a)) (pow.f64 b 3))))
(+.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))))
(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) (*.f64 b -2))))
(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 (fma.f64 (/.f64 (*.f64 a (*.f64 -4 c)) b) -1/2 (*.f64 b -2))))
(+.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)) (fma.f64 b -2 (/.f64 (*.f64 (*.f64 (*.f64 c a) 2) (*.f64 c a)) (pow.f64 b 3))))
(*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a))
(*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a)))
(fma.f64 1/2 (/.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) a) (/.f64 (*.f64 b -1/2) a))
(fma.f64 1/2 (/.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) a) (*.f64 (/.f64 -1/2 a) b))
(+.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))))
(fma.f64 1/4 (/.f64 (*.f64 b b) (*.f64 a (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a))))
(fma.f64 1/4 (*.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))) (fma.f64 1/2 (/.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) a) (/.f64 (*.f64 b -1/2) a)))
(fma.f64 1/2 (/.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) a) (fma.f64 -1/2 (/.f64 b a) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (/.f64 1/4 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)))))
(fma.f64 1/4 (/.f64 (*.f64 b b) (*.f64 a (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (fma.f64 -1/16 (/.f64 (pow.f64 b 4) (*.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))) (fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a)))))
(fma.f64 1/4 (*.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (*.f64 a (*.f64 -4 c))))) (fma.f64 -1/16 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) a) (/.f64 (*.f64 b -1/2) a))))
(fma.f64 -1/16 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) a) (fma.f64 -1/2 (/.f64 b a) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (/.f64 1/4 a)))))
(*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b)))
(*.f64 (/.f64 1/4 b) (/.f64 (*.f64 a (*.f64 -4 c)) a))
(/.f64 (*.f64 (*.f64 c a) -1) (*.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)))))
(fma.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)))))
(fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4) (*.f64 a (pow.f64 b 3))) (*.f64 (/.f64 1/4 b) (/.f64 (*.f64 a (*.f64 -4 c)) a)))
(fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4) (*.f64 a (pow.f64 b 3))) (/.f64 (*.f64 (*.f64 c a) -1) (*.f64 a b)))
(+.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))))))
(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))) (*.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 (/.f64 (*.f64 a (*.f64 -4 c)) a) b) (fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4) (*.f64 a (pow.f64 b 3))) (*.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 6) (*.f64 a (pow.f64 b 5))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) -1) (*.f64 c a)) (*.f64 a (pow.f64 b 3))) (fma.f64 1/32 (/.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3) (*.f64 a (pow.f64 b 5))) (/.f64 (*.f64 (*.f64 c a) -1) (*.f64 a b))))
(+.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)))))))
(fma.f64 -1/4 (/.f64 (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)) (*.f64 a (pow.f64 b 7))) (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))) (*.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 (fma.f64 1/16 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 8) (*.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 8) 1/64)) (*.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 (/.f64 (*.f64 a (*.f64 -4 c)) a) b) (fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 4) (*.f64 a (pow.f64 b 3))) (*.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 6) (*.f64 a (pow.f64 b 5)))))))
(+.f64 (fma.f64 1/32 (/.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3) (*.f64 a (pow.f64 b 5))) (/.f64 (*.f64 (*.f64 (*.f64 c a) -1) (*.f64 c a)) (*.f64 a (pow.f64 b 3)))) (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 8) 5/64) (*.f64 a (pow.f64 b 7))) (/.f64 (*.f64 (*.f64 c a) -1) (*.f64 a b))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.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)))
(fma.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b)) (neg.f64 (/.f64 b a)))
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 a (*.f64 -4 c)) a) b) -1/4) (/.f64 b a))
(-.f64 (/.f64 (*.f64 (*.f64 c a) 1) (*.f64 a b)) (/.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))))
(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 -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 (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)) (/.f64 (*.f64 (*.f64 (*.f64 c a) 1) (*.f64 c a)) (*.f64 a (pow.f64 b 3))))
(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 -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)))))
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 (*.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 (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) -2)) (pow.f64 b 3)) (+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3) (pow.f64 b 5)) b) (/.f64 (*.f64 (*.f64 c a) -2) 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 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) b) b) (fma.f64 (/.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3) (pow.f64 b 5)) -1/16 (/.f64 (*.f64 (*.f64 (*.f64 c a) 2) (*.f64 c a)) (pow.f64 b 3))))
b
b

eval407.0ms (5.1%)

Compiler

Compiled 24359 to 15670 computations (35.7% saved)

prune950.0ms (12%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New5282530
Fresh279
Picked011
Done000
Total53010540
Error
3.5b
Counts
540 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
41.4b
(/.f64 (neg.f64 c) b)
43.7b
(-.f64 (/.f64 c b) (/.f64 b a))
45.9b
(/.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) (*.f64 a 2))
▶34.2b
(*.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b))) (/.f64 1/2 a))
46.2b
(/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b b)) (/.f64 1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
46.2b
(*.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 1/2 a))
✓32.1b
(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
43.5b
(/.f64 (neg.f64 b) a)
57.1b
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a))
54.9b
(+.f64 (fma.f64 1/32 (/.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3) (*.f64 a (pow.f64 b 5))) (/.f64 (*.f64 (*.f64 (*.f64 c a) -1) (*.f64 c a)) (*.f64 a (pow.f64 b 3)))) (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 8) 5/64) (*.f64 a (pow.f64 b 7))) (/.f64 (*.f64 (*.f64 c a) -1) (*.f64 a b))))
Compiler

Compiled 419 to 282 computations (32.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b))) (/.f64 1/2 a))
0.4b
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)
✓2.9b
(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)))
13.4b
(sqrt.f64 (*.f64 a (*.f64 c -4)))

series11.0ms (0.1%)

Counts
2 → 24
Calls

18 calls:

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

rewrite67.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
575×prod-diff_binary64
151×add-sqr-sqrt_binary64
146×pow1_binary64
144×*-un-lft-identity_binary64
142×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01536
130736
2383136
Stop Event
1×node limit
Counts
2 → 96
Calls
Call 1
Inputs
(exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)))
(*.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b))) (/.f64 1/2 a))
Outputs
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(hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2) (pow.f64 b 3))) (*.f64 (neg.f64 a) (+.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b b))) (*.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b b))) (*.f64 (neg.f64 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 1/2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2) (pow.f64 b 3)) (/.f64 1/2 a)) (+.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b b)) (/.f64 1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) 3/2) (pow.f64 b 3))) (+.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/2 a)) (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 3) (pow.f64 (/.f64 1/2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 a) 3) (pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))) 1))))) (#(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))))))))

simplify31.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
751×times-frac_binary64
414×fma-def_binary64
411×associate-/l*_binary64
363×associate-*r*_binary64
356×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01121016
1319937
21003851
Stop Event
1×node limit
Counts
120 → 144
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)))))
Outputs
(sqrt.f64 (*.f64 -4 (*.f64 c a)))
(sqrt.f64 (*.f64 c (*.f64 a -4)))
(+.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 c (*.f64 a -4))) 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 (*.f64 b b) (sqrt.f64 (*.f64 -4 (*.f64 c a))))) b))
(fma.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 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 (*.f64 -1/8 (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 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))) b)))
(+.f64 (-.f64 (*.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 3)) (pow.f64 b 4)) b) (fma.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(*.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 (*.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))))
(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 1/2 (/.f64 (*.f64 -4 (*.f64 c a)) b) (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3))))
(+.f64 (/.f64 (*.f64 (*.f64 c a) -2) b) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) -2)) (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)))))
(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 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 5)))))
(+.f64 (/.f64 (*.f64 (*.f64 c a) -2) b) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3) (pow.f64 b 5)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) -2)) (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 (*.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))))))
(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)) (fma.f64 -1/2 (/.f64 (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)) (pow.f64 b 7)) (*.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)) (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 5)) (/.f64 -1/2 (/.f64 (pow.f64 b 7) (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)))))))
(+.f64 (/.f64 (*.f64 (*.f64 c a) -2) b) (fma.f64 1/16 (/.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 8) 5/64) (pow.f64 b 7)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) -2)) (pow.f64 b 3)))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -2 b))
(fma.f64 -1/2 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b) (*.f64 b -2))
(fma.f64 b -2 (*.f64 (/.f64 (*.f64 -4 (*.f64 c a)) b) -1/2))
(fma.f64 b -2 (/.f64 (*.f64 (*.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 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) b)) (*.f64 -2 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) (*.f64 b -2)))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3)) 1/8 (fma.f64 b -2 (*.f64 (/.f64 (*.f64 -4 (*.f64 c a)) b) -1/2)))
(+.f64 (/.f64 (*.f64 (*.f64 c a) 2) b) (fma.f64 b -2 (/.f64 (*.f64 (*.f64 (*.f64 c a) 2) (*.f64 c a)) (pow.f64 b 3))))
(+.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))))
(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) (*.f64 b -2))))
(fma.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3)) 1/8 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 6) (pow.f64 b 5)) -1/16 (fma.f64 b -2 (*.f64 (/.f64 (*.f64 -4 (*.f64 c a)) b) -1/2))))
(+.f64 (fma.f64 b -2 (/.f64 (*.f64 (*.f64 c a) 2) b)) (fma.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3) (pow.f64 b 5)) -1/16 (/.f64 (*.f64 (*.f64 (*.f64 c a) 2) (*.f64 c a)) (pow.f64 b 3))))
(*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a))
(*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) a))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a)))
(fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a)))
(fma.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) a) (*.f64 (/.f64 -1/2 a) b))
(+.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))))
(fma.f64 1/4 (/.f64 (*.f64 b b) (*.f64 a (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a))))
(fma.f64 1/4 (*.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (fma.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a) (*.f64 -1/2 (/.f64 b a))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) a) (fma.f64 -1/2 (/.f64 b a) (*.f64 (*.f64 (/.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) (/.f64 1/4 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)))))
(fma.f64 1/4 (/.f64 (*.f64 b b) (*.f64 a (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (fma.f64 -1/16 (/.f64 (pow.f64 b 4) (*.f64 a (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3))) (fma.f64 -1/2 (/.f64 b a) (*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a)))))
(fma.f64 1/4 (*.f64 (/.f64 b a) (/.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (fma.f64 -1/16 (/.f64 (/.f64 (pow.f64 b 4) a) (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) a) (*.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)) (fma.f64 1/2 (/.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) a) (fma.f64 -1/2 (/.f64 b a) (*.f64 (*.f64 (/.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) (/.f64 1/4 a)))))
(*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b)))
(/.f64 (*.f64 1/4 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2)) (*.f64 a b))
(/.f64 (*.f64 (*.f64 -4 (*.f64 c a)) 1/4) (*.f64 a b))
(/.f64 (*.f64 (*.f64 c a) -1) (*.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)))))
(fma.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b)) (/.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4)) (*.f64 a (pow.f64 b 3))))
(fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (*.f64 a (pow.f64 b 3))) (/.f64 (*.f64 (*.f64 -4 (*.f64 c a)) 1/4) (*.f64 a b)))
(fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 4) (*.f64 a (pow.f64 b 3))) (/.f64 (*.f64 (*.f64 c a) -1) (*.f64 a b)))
(+.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))))))
(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))) (*.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 (*.f64 -4 (*.f64 c a)) (*.f64 a b)) (fma.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))))))
(fma.f64 1/32 (/.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3) (*.f64 a (pow.f64 b 5))) (fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 4) (*.f64 a (pow.f64 b 3))) (/.f64 (*.f64 (*.f64 c a) -1) (*.f64 a b))))
(+.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)))))))
(fma.f64 -1/4 (/.f64 (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)) (*.f64 a (pow.f64 b 7))) (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))) (*.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 (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)) (*.f64 a (pow.f64 b 7))) (fma.f64 1/4 (/.f64 (*.f64 -4 (*.f64 c a)) (*.f64 a b)) (fma.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)))))))
(fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 8) 5/64) (*.f64 a (pow.f64 b 7))) (fma.f64 1/32 (/.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3) (*.f64 a (pow.f64 b 5))) (fma.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 4) (*.f64 a (pow.f64 b 3))) (/.f64 (*.f64 (*.f64 c a) -1) (*.f64 a b)))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.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)))
(fma.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 a b)) (neg.f64 (/.f64 b a)))
(-.f64 (*.f64 (/.f64 (*.f64 -4 (*.f64 c a)) (*.f64 a b)) -1/4) (/.f64 b a))
(-.f64 (/.f64 (*.f64 (*.f64 c a) 1) (*.f64 a b)) (/.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))))
(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 -4 (*.f64 c a)) (*.f64 a b)) -1/4 (*.f64 (/.f64 1/16 a) (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3)))) (/.f64 b a))
(-.f64 (fma.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) 4) (*.f64 a (pow.f64 b 3))) (/.f64 (*.f64 (*.f64 c a) 1) (*.f64 a 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 -4 (*.f64 c a))) 6) (*.f64 a (pow.f64 b 5))) -1/32 (-.f64 (fma.f64 (/.f64 (*.f64 -4 (*.f64 c a)) (*.f64 a b)) -1/4 (*.f64 (/.f64 1/16 a) (/.f64 (pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 4) (pow.f64 b 3)))) (/.f64 b a)))
(+.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a -4)) 3) (*.f64 a (pow.f64 b 5))) -1/32 (/.f64 (*.f64 (*.f64 c a) 1) (*.f64 a b))) (/.f64 b a)) (/.f64 (*.f64 (*.f64 (*.f64 c a) 1) (*.f64 c a)) (*.f64 a (pow.f64 b 3))))

eval111.0ms (1.4%)

Compiler

Compiled 6329 to 4010 computations (36.6% saved)

prune213.0ms (2.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New2395244
Fresh268
Picked101
Done011
Total24212254
Error
3.5b
Counts
254 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
41.4b
(/.f64 (neg.f64 c) b)
43.7b
(-.f64 (/.f64 c b) (/.f64 b a))
✓32.1b
(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
46.2b
(/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b b)) (/.f64 1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
46.0b
(*.f64 (exp.f64 (log.f64 (*.f64 b -2))) (/.f64 1/2 a))
45.9b
(/.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) (*.f64 a 2))
43.5b
(/.f64 (neg.f64 b) a)
57.1b
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a))
34.2b
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b))) (/.f64 1/2 a))
46.2b
(*.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 1/2 a))
54.9b
(+.f64 (fma.f64 1/32 (/.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3) (*.f64 a (pow.f64 b 5))) (/.f64 (*.f64 (*.f64 (*.f64 c a) -1) (*.f64 c a)) (*.f64 a (pow.f64 b 3)))) (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 8) 5/64) (*.f64 a (pow.f64 b 7))) (/.f64 (*.f64 (*.f64 c a) -1) (*.f64 a b))))
47.2b
(*.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b))) (/.f64 1/2 a))
Compiler

Compiled 252 to 174 computations (31% saved)

regimes261.0ms (3.3%)

Accuracy

Total -53.2b remaining (-492.8%)

Threshold costs -53.2b (-492.8%)

Counts
26 → 3
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b b)) (/.f64 1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(*.f64 (exp.f64 (log.f64 (*.f64 b -2))) (/.f64 1/2 a))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b))) (/.f64 1/2 a))
(*.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 1/2 a))
(*.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b))) (/.f64 1/2 a))
(/.f64 (-.f64 (hypot.f64 b (*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))) b) (*.f64 a 2))
(+.f64 (fma.f64 1/32 (/.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3) (*.f64 a (pow.f64 b 5))) (/.f64 (*.f64 (*.f64 (*.f64 c a) -1) (*.f64 c a)) (*.f64 a (pow.f64 b 3)))) (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 8) 5/64) (*.f64 a (pow.f64 b 7))) (/.f64 (*.f64 (*.f64 c a) -1) (*.f64 a b))))
(*.f64 (*.f64 -2 b) (/.f64 1/2 a))
(/.f64 (neg.f64 c) b)
(/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b b)) (/.f64 1/2 a)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
(*.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))) (*.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))) (/.f64 1/2 a))
(/.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
(*.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4)))) b))) (/.f64 1/2 a))
(*.f64 (-.f64 (fma.f64 -2 (*.f64 (/.f64 c b) a) b) b) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))))) (*.f64 2 a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 (+.f64 (neg.f64 b) (fma.f64 -2 (*.f64 (/.f64 a b) c) b)) (*.f64 2 a))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))) 2) (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) 2) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) a))
(pow.f64 (/.f64 (*.f64 a 2) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) -1)
(/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4)) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) -4))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (*.f64 2 (*.f64 (/.f64 a b) c)) b)) (*.f64 2 a))
(/.f64 (neg.f64 c) b)
(*.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
TimeErrorSegmentsBranch
62.0ms26.4b5a
53.0ms10.8b3b
93.0ms26.0b5c
34.0ms15.9b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 544 to 322 computations (40.8% saved)

bsearch262.0ms (3.3%)

Algorithm
2×binary-search
Steps
TimePointRange
160.0ms
8.8e-63
∈ [
8.674466448676245e-63
, 
4.903912729191021e-58
]
102.0ms
-2.65e+101
∈ [
-6.23474332334717e+106
, 
-2.6169231923379668e+101
]
Compiler

Compiled 546 to 385 computations (29.5% 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 -265000000000000003242931697973513746951830473532790503508001760754247966836608893242104812022601351168) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2037940770576765/231584178474632390847141970017375815706539969331281128078915168015826259279872) (/.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 -265000000000000003242931697973513746951830473532790503508001760754247966836608893242104812022601351168) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2037940770576765/231584178474632390847141970017375815706539969331281128078915168015826259279872) (/.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 -265000000000000003242931697973513746951830473532790503508001760754247966836608893242104812022601351168) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2037940770576765/231584178474632390847141970017375815706539969331281128078915168015826259279872) (/.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 -265000000000000003242931697973513746951830473532790503508001760754247966836608893242104812022601351168) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2037940770576765/231584178474632390847141970017375815706539969331281128078915168015826259279872) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a)))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))

end23.0ms (0.3%)

Stop Event
1×fuel
Compiler

Compiled 76 to 48 computations (36.8% saved)

Profiling

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