quadp (p42, positive)

Time bar (total: 14.4s)

analyze160.0ms (1.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.2s (15.6%)

Results
0.0ms256valid
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0.0ms256valid
0.0ms1024valid
0.0ms256invalid
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0.0ms256invalid
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0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256infinite
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0.0ms2048valid
0.0ms256valid
0.0ms256invalid
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0.0ms512valid
0.0ms2048valid
0.0ms256valid
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0.0ms1024valid
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0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
2.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms2048valid
0.0ms256invalid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms4096valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms2048valid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256infinite
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0.0ms256valid
0.0ms1024valid
0.0ms256valid
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0.0ms256invalid
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0.0ms256valid
0.0ms256valid
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0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms4096valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256invalid
0.0ms1024valid
0.0ms256valid
0.0ms4096valid
0.0ms2048valid
0.0ms256valid
0.0ms256invalid
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0.0ms256invalid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
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0.0ms1024valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
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0.0ms256valid
0.0ms256valid
0.0ms2048valid
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0.0ms256valid
0.0ms256valid
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0.0ms256valid
0.0ms256valid
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0.0ms256valid
0.0ms2048valid
0.0ms4096valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
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0.0ms256valid
0.0ms512valid
0.0ms256invalid
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0.0ms2048valid
0.0ms256valid
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1.0ms256valid
0.0ms256valid
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1.0ms4096valid
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0.0ms512valid
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1.0ms4096valid
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0.0ms512valid
0.0ms1024valid
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1.0ms4096valid
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0.0ms256infinite
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0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
Bogosity

preprocess417.0ms (2.9%)

Algorithm
egg-herbie
Rules
1298×div-sub
1250×fma-def
1238×associate-/r*
718×sub-neg
690×associate-/l*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1030-2(2.9335420106856027e-289 -1.9207039480366743e-156 -2.903054051711882e-145)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
580-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
120-0-(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
40-0-(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
00-0-b
00-0-(neg.f64 b)
00-0-c
00-0-(*.f64 b b)
00-0-(*.f64 a c)
00-0-4
00-0-(*.f64 4 (*.f64 a c))
00-0-a
00-0-(*.f64 2 a)
00-0-2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067779
1180691
2439671
31250671
42803671
56734671
Stop Event
node limit
Calls
Call 1
Inputs
(/.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 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 (neg.f64 a) c))))) (*.f64 2 (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a (neg.f64 c)))))) (*.f64 2 a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 (neg.f64 a) c))))) (*.f64 2 (neg.f64 a))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a (neg.f64 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 c (*.f64 -4 a)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
(/.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 c (*.f64 -4 a)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 (neg.f64 a) c))))) (*.f64 2 (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a (neg.f64 c)))))) (neg.f64 (*.f64 a 2)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 4 c)))) b) (*.f64 a -2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 4 (*.f64 a c) (*.f64 b b))) b) (*.f64 a -2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 4 a)))) b) (*.f64 a -2))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 4 (*.f64 a c) (*.f64 b b))) b) (/.f64 -1/2 a))
(/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 -4 a))))) (*.f64 a 2))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (*.f64 a 2))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) (*.f64 a 2))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) a) 1/2)
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 1/2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a (neg.f64 c)))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a (neg.f64 c)))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 4 c)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 4 (*.f64 a c) (*.f64 b b))) b) (*.f64 a 2))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 4 a))))) a) -1/2)
(*.f64 (-.f64 (sqrt.f64 (fma.f64 4 (*.f64 a c) (*.f64 b b))) b) (/.f64 1/2 a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 (neg.f64 a) c))))) (*.f64 2 (neg.f64 a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a (neg.f64 c)))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 4 c)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 4 (*.f64 a c) (*.f64 b b))) b) (*.f64 a 2))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 4 a))))) a) -1/2)
(*.f64 (-.f64 (sqrt.f64 (fma.f64 4 (*.f64 a c) (*.f64 b b))) b) (/.f64 1/2 a))
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 4 (*.f64 a c))))) (*.f64 2 a)))
(/.f64 (neg.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))) (*.f64 a 2))
(/.f64 (neg.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 -4 a)))))) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) a))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) a) -1/2)
(*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (/.f64 -1/2 a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a (neg.f64 c)))))) (*.f64 2 a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a (neg.f64 c)))))) (neg.f64 (*.f64 a 2)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 4 c)))) b) (*.f64 a -2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 4 (*.f64 a c) (*.f64 b b))) b) (*.f64 a -2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 4 a)))) b) (*.f64 a -2))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 4 (*.f64 a c) (*.f64 b b))) b) (/.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 a a (*.f64 c (*.f64 b -4)))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 b -4) (*.f64 a a))) a) (*.f64 b 2))
(/.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 c (*.f64 -4 a)))) b) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 c 2))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 4 (*.f64 a b))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (+.f64 (*.f64 c c) (*.f64 -4 (*.f64 b a))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 (*.f64 -4 a) b))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a -4)))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 a (*.f64 b -4)))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))) c) (*.f64 a 2))
Compiler

Compiled 168 to 80 computations (52.4% saved)

eval20.0ms (0.1%)

Compiler

Compiled 65 to 41 computations (36.9% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
52.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))
Compiler

Compiled 20 to 14 computations (30% saved)

localize116.0ms (0.8%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
98.7%
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
95.5%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))
79.2%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
62.9%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
Compiler

Compiled 74 to 33 computations (55.4% saved)

series27.0ms (0.2%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
3.0ms
a
@inf
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
2.0ms
b
@0
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
2.0ms
c
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))
1.0ms
a
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))
1.0ms
b
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))

rewrite269.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
916×log1p-expm1-u
848×expm1-log1p-u
456×expm1-udef
456×log1p-udef
244×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021189
1294177
24287177
Stop Event
node limit
Counts
4 → 158
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))) 1)
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
(*.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
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(*.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4)) (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c 4)))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c 4)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 b 4) (*.f64 (*.f64 a (*.f64 c 4)) (fma.f64 b b (*.f64 a (*.f64 c 4))))) (-.f64 (pow.f64 b 6) (*.f64 (pow.f64 (*.f64 a c) 3) 64))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 a (*.f64 c 4))) (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 a (*.f64 c 4)) 2))))
(/.f64 (-.f64 (pow.f64 b 6) (*.f64 (pow.f64 (*.f64 a c) 3) 64)) (+.f64 (pow.f64 b 4) (*.f64 (*.f64 a (*.f64 c 4)) (fma.f64 b b (*.f64 a (*.f64 c 4))))))
(/.f64 (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 a (*.f64 c 4)) 2)) (fma.f64 b b (*.f64 a (*.f64 c 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 6) (*.f64 (pow.f64 (*.f64 a c) 3) 64))) (neg.f64 (+.f64 (pow.f64 b 4) (*.f64 (*.f64 a (*.f64 c 4)) (fma.f64 b b (*.f64 a (*.f64 c 4)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 a (*.f64 c 4)) 2))) (neg.f64 (fma.f64 b b (*.f64 a (*.f64 c 4)))))
(/.f64 (+.f64 (pow.f64 b 6) (pow.f64 (*.f64 (*.f64 -4 c) a) 3)) (+.f64 (pow.f64 b 4) (-.f64 (*.f64 (*.f64 (*.f64 -4 c) a) (*.f64 (*.f64 -4 c) a)) (*.f64 (pow.f64 b 2) (*.f64 (*.f64 -4 c) a)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3) (pow.f64 (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))) 3)) (+.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 2) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4)))) (*.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4)))))))
(/.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 (*.f64 -4 c) a) (*.f64 (*.f64 -4 c) a))) (-.f64 (pow.f64 b 2) (*.f64 (*.f64 -4 c) a)))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 2) (*.f64 (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))))) (-.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4)))))
(pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1)
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) 2)
(pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) 3)
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 2))
(log.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))))
(cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3))
(expm1.f64 (log1p.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
(exp.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
(fma.f64 b b (*.f64 (*.f64 -4 c) a))
(fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))))
(fma.f64 1 (pow.f64 b 2) (*.f64 (*.f64 -4 c) a))
(fma.f64 1 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) 2) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))))
(fma.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2) (*.f64 (*.f64 -4 c) a))

simplify315.0ms (2.2%)

Algorithm
egg-herbie
Rules
1206×fma-neg
902×fma-def
838×associate-*r*
694×log-prod
686×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052816139
1138915384
2650615295
Stop Event
node limit
Counts
254 → 349
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a c))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 3) (pow.f64 c 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a c))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 3) (pow.f64 c 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 5) (pow.f64 c 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a c))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 a c) b)))
(+.f64 b (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))))))
(*.f64 -1 b)
(+.f64 (*.f64 -1 b) (*.f64 2 (/.f64 (*.f64 a c) b)))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 2 (/.f64 (*.f64 a c) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 2 (/.f64 (*.f64 a c) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 a c) b)))
(+.f64 b (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 a c) b)))
(+.f64 b (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))))))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a c))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 3) (pow.f64 c 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a c))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4)))))
(*.f64 -2 (/.f64 (*.f64 a c) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 16 (*.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (*.f64 -2 (*.f64 (pow.f64 a 2) (pow.f64 c 2))) 2)) (pow.f64 b 7))))))
(*.f64 -2 b)
(+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 a c) b)))
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 2 (/.f64 (*.f64 a c) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 2 (/.f64 (*.f64 a c) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))))))
(*.f64 -2 (/.f64 (*.f64 a c) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))) (*.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 -2 (/.f64 (*.f64 a c) b))
(+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))) (*.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 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 3) c))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 5) (pow.f64 c 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 3) c))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b 3))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b 3))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 16 (*.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (*.f64 -2 (*.f64 (pow.f64 a 2) (pow.f64 c 2))) 2)) (*.f64 a (pow.f64 b 7)))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (*.f64 -1 (/.f64 b a)) (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 b a)) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b 3))))
(+.f64 (*.f64 -1 (/.f64 b a)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b 3)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b 3))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b 3))) (*.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 -1 (/.f64 c b))
(+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b 3))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -1 (/.f64 c b)) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -1 (/.f64 c b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 c 2)) (pow.f64 b 3))) (*.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 -4 (*.f64 a c))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(*.f64 -4 (*.f64 a c))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(*.f64 -4 (*.f64 a c))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(*.f64 -4 (*.f64 a c))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(*.f64 -4 (*.f64 a c))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(+.f64 (*.f64 -4 (*.f64 a c)) (pow.f64 b 2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))) 1)
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
(*.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4) (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
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(*.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4)) (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c 4)))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c 4)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 b 4) (*.f64 (*.f64 a (*.f64 c 4)) (fma.f64 b b (*.f64 a (*.f64 c 4))))) (-.f64 (pow.f64 b 6) (*.f64 (pow.f64 (*.f64 a c) 3) 64))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 a (*.f64 c 4))) (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 a (*.f64 c 4)) 2))))
(/.f64 (-.f64 (pow.f64 b 6) (*.f64 (pow.f64 (*.f64 a c) 3) 64)) (+.f64 (pow.f64 b 4) (*.f64 (*.f64 a (*.f64 c 4)) (fma.f64 b b (*.f64 a (*.f64 c 4))))))
(/.f64 (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 a (*.f64 c 4)) 2)) (fma.f64 b b (*.f64 a (*.f64 c 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 6) (*.f64 (pow.f64 (*.f64 a c) 3) 64))) (neg.f64 (+.f64 (pow.f64 b 4) (*.f64 (*.f64 a (*.f64 c 4)) (fma.f64 b b (*.f64 a (*.f64 c 4)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 a (*.f64 c 4)) 2))) (neg.f64 (fma.f64 b b (*.f64 a (*.f64 c 4)))))
(/.f64 (+.f64 (pow.f64 b 6) (pow.f64 (*.f64 (*.f64 -4 c) a) 3)) (+.f64 (pow.f64 b 4) (-.f64 (*.f64 (*.f64 (*.f64 -4 c) a) (*.f64 (*.f64 -4 c) a)) (*.f64 (pow.f64 b 2) (*.f64 (*.f64 -4 c) a)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3) (pow.f64 (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))) 3)) (+.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 2) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4)))) (*.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4)))))))
(/.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 (*.f64 -4 c) a) (*.f64 (*.f64 -4 c) a))) (-.f64 (pow.f64 b 2) (*.f64 (*.f64 -4 c) a)))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 2) (*.f64 (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))))) (-.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4)))))
(pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1)
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) 2)
(pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) 3)
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 2))
(log.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))))
(cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3))
(expm1.f64 (log1p.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
(exp.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
(fma.f64 b b (*.f64 (*.f64 -4 c) a))
(fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))))
(fma.f64 1 (pow.f64 b 2) (*.f64 (*.f64 -4 c) a))
(fma.f64 1 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) 2) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))))
(fma.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2) (*.f64 (*.f64 -4 c) a))
Outputs
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a c))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a c))) (*.f64 (/.f64 (pow.f64 b 2) (sqrt.f64 -4)) 1/2)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 3) (pow.f64 c 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a c))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a c) 3))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a c) 3))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a c))) (*.f64 (/.f64 (pow.f64 b 2) (sqrt.f64 -4)) 1/2))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 3) (pow.f64 c 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 5) (pow.f64 c 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a c))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4)))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a c) 3))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 5))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4)))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a c) 3))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 5) (pow.f64 c 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a c))) (*.f64 (/.f64 (pow.f64 b 2) (sqrt.f64 -4)) 1/2)))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 a c) b)))
(+.f64 b (*.f64 -2 (/.f64 a (/.f64 b c))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) b)
(+.f64 b (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 b (*.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(fma.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (pow.f64 c 2))) b)
(+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))))))
(+.f64 b (fma.f64 -4 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)) (*.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))))))
(+.f64 (fma.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (pow.f64 c 2))) b) (*.f64 -4 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 -1 b) (*.f64 2 (/.f64 (*.f64 a c) b)))
(fma.f64 -1 b (*.f64 2 (/.f64 a (/.f64 b c))))
(-.f64 (/.f64 (*.f64 a 2) (/.f64 b c)) b)
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 2 (/.f64 (*.f64 a c) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(fma.f64 -1 b (*.f64 2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(fma.f64 2 (+.f64 (/.f64 a (/.f64 b c)) (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (pow.f64 c 2))) (neg.f64 b))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 2 (/.f64 (*.f64 a c) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))))))
(fma.f64 -1 b (fma.f64 2 (/.f64 a (/.f64 b c)) (fma.f64 2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)) (*.f64 4 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))))))
(-.f64 (fma.f64 2 (+.f64 (/.f64 a (/.f64 b c)) (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (pow.f64 c 2))) (*.f64 4 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) b)
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 a c) b)))
(+.f64 b (*.f64 -2 (/.f64 a (/.f64 b c))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) b)
(+.f64 b (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 b (*.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(fma.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (pow.f64 c 2))) b)
(+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))))))
(+.f64 b (fma.f64 -4 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)) (*.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))))))
(+.f64 (fma.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (pow.f64 c 2))) b) (*.f64 -4 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))))
b
(+.f64 b (*.f64 -2 (/.f64 (*.f64 a c) b)))
(+.f64 b (*.f64 -2 (/.f64 a (/.f64 b c))))
(fma.f64 -2 (/.f64 a (/.f64 b c)) b)
(+.f64 b (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(+.f64 b (*.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(fma.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (pow.f64 c 2))) b)
(+.f64 b (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))))))
(+.f64 b (fma.f64 -4 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)) (*.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))))))
(+.f64 (fma.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (pow.f64 c 2))) b) (*.f64 -4 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4)))
(fma.f64 -1 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (neg.f64 b))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a c))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))))
(fma.f64 -1 b (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))))
(-.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a c))) (*.f64 (/.f64 (pow.f64 b 2) (sqrt.f64 -4)) 1/2))) b)
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 3) (pow.f64 c 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a c))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4)))))
(fma.f64 -1 b (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a c) 3))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4)))))
(-.f64 (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (*.f64 a c) 3))) (/.f64 (pow.f64 b 4) (*.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 a c))) (*.f64 (/.f64 (pow.f64 b 2) (sqrt.f64 -4)) 1/2)))) b)
(*.f64 -2 (/.f64 (*.f64 a c) b))
(*.f64 -2 (/.f64 a (/.f64 b c)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))))
(*.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))))
(*.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (pow.f64 c 2))))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(fma.f64 -4 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)) (*.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(fma.f64 -4 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)) (*.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (pow.f64 c 2)))))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 16 (*.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (*.f64 -2 (*.f64 (pow.f64 a 2) (pow.f64 c 2))) 2)) (pow.f64 b 7))))))
(fma.f64 -4 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)) (fma.f64 -2 (/.f64 a (/.f64 b c)) (fma.f64 -2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)) (*.f64 -1/2 (/.f64 (fma.f64 16 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 (*.f64 -2 (*.f64 (pow.f64 a 2) (pow.f64 c 2))) 2)) (pow.f64 b 7))))))
(fma.f64 -4 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)) (fma.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (pow.f64 c 2))) (/.f64 (*.f64 -1/2 (fma.f64 16 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (*.f64 4 (*.f64 (pow.f64 a 4) (pow.f64 c 4))))) (pow.f64 b 7))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 a c) b)))
(fma.f64 -2 b (*.f64 2 (/.f64 a (/.f64 b c))))
(fma.f64 b -2 (/.f64 (*.f64 a 2) (/.f64 b c)))
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 2 (/.f64 (*.f64 a c) b)) (*.f64 2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(fma.f64 -2 b (*.f64 2 (+.f64 (/.f64 a (/.f64 b c)) (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3)))))
(fma.f64 2 (+.f64 (/.f64 a (/.f64 b c)) (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 3)) (pow.f64 c 2))) (*.f64 b -2))
(+.f64 (*.f64 -2 b) (+.f64 (*.f64 2 (/.f64 (*.f64 a c) b)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) (pow.f64 b 3))) (*.f64 4 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 3)) (pow.f64 b 5))))))
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(*.f64 1 (/.f64 (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 c (*.f64 a 4)) 2)) (fma.f64 b b (*.f64 c (*.f64 a 4)))))
(/.f64 (+.f64 (pow.f64 b 6) (pow.f64 (*.f64 (*.f64 -4 c) a) 3)) (+.f64 (pow.f64 b 4) (-.f64 (*.f64 (*.f64 (*.f64 -4 c) a) (*.f64 (*.f64 -4 c) a)) (*.f64 (pow.f64 b 2) (*.f64 (*.f64 -4 c) a)))))
(*.f64 (-.f64 (pow.f64 b 6) (*.f64 (pow.f64 (*.f64 a c) 3) 64)) (/.f64 1 (+.f64 (pow.f64 b 4) (*.f64 (*.f64 a (*.f64 c 4)) (fma.f64 b b (*.f64 a (*.f64 c 4)))))))
(/.f64 (+.f64 (pow.f64 b 6) (pow.f64 (*.f64 c (*.f64 a -4)) 3)) (fma.f64 a (*.f64 (*.f64 c 4) (fma.f64 b b (*.f64 c (*.f64 a 4)))) (pow.f64 b 4)))
(/.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3) (pow.f64 (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))) 3)) (+.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 2) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4)))) (*.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -4 (*.f64 a c) (pow.f64 b 2)) 3) (pow.f64 (fma.f64 -4 (*.f64 a c) (*.f64 a (*.f64 c 4))) 3)) (+.f64 (pow.f64 (fma.f64 -4 (*.f64 a c) (pow.f64 b 2)) 2) (*.f64 (fma.f64 -4 (*.f64 a c) (*.f64 a (*.f64 c 4))) (-.f64 (fma.f64 -4 (*.f64 a c) (*.f64 a (*.f64 c 4))) (fma.f64 -4 (*.f64 a c) (pow.f64 b 2))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (pow.f64 b 2)) 3) (pow.f64 (*.f64 (*.f64 a c) 0) 3)) (fma.f64 (*.f64 (*.f64 a c) 0) (-.f64 (*.f64 (*.f64 a c) 0) (fma.f64 a (*.f64 c -4) (pow.f64 b 2))) (pow.f64 (fma.f64 a (*.f64 c -4) (pow.f64 b 2)) 2)))
(/.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 (*.f64 -4 c) a) (*.f64 (*.f64 -4 c) a))) (-.f64 (pow.f64 b 2) (*.f64 (*.f64 -4 c) a)))
(*.f64 (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 a (*.f64 c 4)) 2)) (/.f64 1 (fma.f64 b b (*.f64 a (*.f64 c 4)))))
(/.f64 (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 c (*.f64 a 4)) 2)) (fma.f64 b b (*.f64 c (*.f64 a 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 2) (*.f64 (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))))) (-.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -4 (*.f64 a c) (pow.f64 b 2)) 2) (*.f64 (fma.f64 -4 (*.f64 a c) (*.f64 a (*.f64 c 4))) (fma.f64 -4 (*.f64 a c) (*.f64 a (*.f64 c 4))))) (-.f64 (fma.f64 -4 (*.f64 a c) (pow.f64 b 2)) (fma.f64 -4 (*.f64 a c) (*.f64 a (*.f64 c 4)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c -4) (pow.f64 b 2)) 2) (*.f64 (*.f64 (*.f64 a c) 0) (*.f64 (*.f64 a c) 0))) (-.f64 (fma.f64 a (*.f64 c -4) (pow.f64 b 2)) (*.f64 (*.f64 a c) 0)))
(pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1)
(fma.f64 -4 (*.f64 a c) (pow.f64 b 2))
(fma.f64 a (*.f64 c -4) (pow.f64 b 2))
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) 2)
(fma.f64 -4 (*.f64 a c) (pow.f64 b 2))
(fma.f64 a (*.f64 c -4) (pow.f64 b 2))
(pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) 3)
(fma.f64 -4 (*.f64 a c) (pow.f64 b 2))
(fma.f64 a (*.f64 c -4) (pow.f64 b 2))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 2) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 -4 (*.f64 a c) (pow.f64 b 2)) 2))
(fabs.f64 (fma.f64 a (*.f64 c -4) (pow.f64 b 2)))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3) 1/3)
(fma.f64 -4 (*.f64 a c) (pow.f64 b 2))
(fma.f64 a (*.f64 c -4) (pow.f64 b 2))
(sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 2))
(sqrt.f64 (pow.f64 (fma.f64 -4 (*.f64 a c) (pow.f64 b 2)) 2))
(fabs.f64 (fma.f64 a (*.f64 c -4) (pow.f64 b 2)))
(log.f64 (exp.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
(fma.f64 -4 (*.f64 a c) (pow.f64 b 2))
(fma.f64 a (*.f64 c -4) (pow.f64 b 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))))
(fma.f64 -4 (*.f64 a c) (pow.f64 b 2))
(fma.f64 a (*.f64 c -4) (pow.f64 b 2))
(cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3))
(fma.f64 -4 (*.f64 a c) (pow.f64 b 2))
(fma.f64 a (*.f64 c -4) (pow.f64 b 2))
(expm1.f64 (log1p.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
(fma.f64 -4 (*.f64 a c) (pow.f64 b 2))
(fma.f64 a (*.f64 c -4) (pow.f64 b 2))
(exp.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
(fma.f64 -4 (*.f64 a c) (pow.f64 b 2))
(fma.f64 a (*.f64 c -4) (pow.f64 b 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) 1))
(fma.f64 -4 (*.f64 a c) (pow.f64 b 2))
(fma.f64 a (*.f64 c -4) (pow.f64 b 2))
(log1p.f64 (expm1.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))
(fma.f64 -4 (*.f64 a c) (pow.f64 b 2))
(fma.f64 a (*.f64 c -4) (pow.f64 b 2))
(fma.f64 b b (*.f64 (*.f64 -4 c) a))
(fma.f64 -4 (*.f64 a c) (pow.f64 b 2))
(fma.f64 a (*.f64 c -4) (pow.f64 b 2))
(fma.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))))
(+.f64 (pow.f64 b 2) (fma.f64 (*.f64 c -4) a (fma.f64 -4 (*.f64 a c) (*.f64 a (*.f64 c 4)))))
(fma.f64 b b (fma.f64 a (*.f64 c -4) (*.f64 (*.f64 a c) 0)))
(fma.f64 1 (pow.f64 b 2) (*.f64 (*.f64 -4 c) a))
(fma.f64 -4 (*.f64 a c) (pow.f64 b 2))
(fma.f64 a (*.f64 c -4) (pow.f64 b 2))
(fma.f64 1 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))))
(+.f64 (pow.f64 b 2) (fma.f64 (*.f64 c -4) a (fma.f64 -4 (*.f64 a c) (*.f64 a (*.f64 c 4)))))
(fma.f64 b b (fma.f64 a (*.f64 c -4) (*.f64 (*.f64 a c) 0)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) 2) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) (+.f64 (*.f64 (*.f64 -4 c) a) (*.f64 a (*.f64 c 4))))
(+.f64 (pow.f64 b 2) (fma.f64 (*.f64 c -4) a (fma.f64 -4 (*.f64 a c) (*.f64 a (*.f64 c 4)))))
(fma.f64 b b (fma.f64 a (*.f64 c -4) (*.f64 (*.f64 a c) 0)))
(fma.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2) (*.f64 (*.f64 -4 c) a))
(fma.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2) (*.f64 (*.f64 -4 a) c))
(fma.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2) (*.f64 c (*.f64 a -4)))

eval212.0ms (1.5%)

Compiler

Compiled 9665 to 6265 computations (35.2% saved)

prune78.0ms (0.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New33316349
Fresh000
Picked011
Done000
Total33317350
Accuracy
88.7%
Counts
350 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.3%
(pow.f64 (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))) 2)) -1)
28.9%
(pow.f64 (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))) (/.f64 1/2 a))) 3)
27.9%
(/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) (pow.f64 b 2)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))) (*.f64 a 2))
33.6%
(/.f64 (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 a c) b))) (*.f64 a 2))
51.3%
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4) 2)) (*.f64 a 2))
34.5%
(/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 a 2) (/.f64 b c)) b)) (*.f64 a 2))
12.1%
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (*.f64 -2 (/.f64 (*.f64 a c) b)))) (*.f64 a 2))
52.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))
31.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 -4 a) c))) (*.f64 a 2))
38.4%
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3/2))) (*.f64 a 2))
28.9%
(/.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 a 2))
29.8%
(/.f64 (*.f64 -2 (/.f64 a (/.f64 b c))) (*.f64 a 2))
34.5%
(/.f64 (neg.f64 c) b)
34.8%
(/.f64 (neg.f64 b) a)
27.7%
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 a (pow.f64 b 3)) (pow.f64 c 2)))
34.5%
(-.f64 (/.f64 c b) (/.f64 b a))
29.3%
(*.f64 (/.f64 1/2 a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))))
Compiler

Compiled 568 to 396 computations (30.3% saved)

localize490.0ms (3.4%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.8%
(pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3/2)
97.4%
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3/2))) (*.f64 a 2))
90.0%
(+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3/2)))
65.2%
(cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3/2))
100.0%
(+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 -4 a) c)))
99.8%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 -4 a) c))) (*.f64 a 2))
82.2%
(sqrt.f64 (*.f64 (*.f64 -4 a) c))
95.5%
(/.f64 (*.f64 a c) b)
85.8%
(/.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 a 2))
99.4%
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4) 2)
97.4%
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4) 2)) (*.f64 a 2))
90.0%
(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4) 2))
74.5%
(pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4)
Compiler

Compiled 255 to 140 computations (45.1% saved)

series115.0ms (0.8%)

Counts
13 → 304
Calls

114 calls:

TimeVariablePointExpression
6.0ms
c
@0
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4) 2)) (*.f64 a 2))
5.0ms
c
@inf
(/.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 a 2))
4.0ms
a
@0
(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4) 2))
4.0ms
a
@0
(sqrt.f64 (*.f64 (*.f64 -4 a) c))
3.0ms
c
@-inf
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3/2))) (*.f64 a 2))

rewrite145.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
466×associate-*r*
466×times-frac
326×associate-*l*
260×log1p-expm1-u
260×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038569
1601493
Stop Event
node limit
Counts
13 → 443
Calls
Call 1
Inputs
(pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4)
(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4) 2))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4) 2)) (*.f64 a 2))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4) 2)
(/.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 a 2))
(/.f64 (*.f64 a c) b)
(sqrt.f64 (*.f64 (*.f64 -4 a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 -4 a) c))) (*.f64 a 2))
(+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 -4 a) c)))
(cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3/2))
(+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3/2)))
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3/2))) (*.f64 a 2))
(pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3/2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) 1)
(*.f64 1 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(*.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (cbrt.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 1/8) (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 1/8))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))) 2) 1/4) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))) 1/4))
(*.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 1/4) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))))) (sqrt.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))
(fabs.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(log.f64 (exp.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))
(cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 3/4))
(expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(exp.f64 (log.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) b)
(-.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) 1)
(-.f64 (/.f64 (pow.f64 b 2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (/.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(-.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 0) b)
(*.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(*.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(*.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(*.f64 (+.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)) (/.f64 1 (fma.f64 b b (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))
(*.f64 (-.f64 (pow.f64 b 2) (fma.f64 b b (*.f64 -4 (*.f64 c a)))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) (+.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3))))
(/.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (-.f64 (pow.f64 b 2) (fma.f64 b b (*.f64 -4 (*.f64 c a))))))
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(*.f64 (*.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (cbrt.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 1/2)
(pow.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2)
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 1)
(pow.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3) 1/3)
(pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 3)
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 2) 1/4)
(sqrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))))
(fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))
(log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))
(exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)) 1/3))
(log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) b)
(-.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) 1)
(-.f64 (/.f64 (pow.f64 b 2) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (/.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(-.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 0) b)
(*.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(*.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(*.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(*.f64 (+.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)) (/.f64 1 (fma.f64 b b (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))
(*.f64 (-.f64 (pow.f64 b 2) (fma.f64 b b (*.f64 -4 (*.f64 c a)))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))) (+.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3))))
(/.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (-.f64 (pow.f64 b 2) (fma.f64 b b (*.f64 -4 (*.f64 c a))))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)) (fma.f64 b b (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))
(/.f64 (-.f64 (pow.f64 b 2) (fma.f64 b b (*.f64 -4 (*.f64 c a)))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3))) (neg.f64 (fma.f64 b b (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 2) (fma.f64 b b (*.f64 -4 (*.f64 c a))))) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3) (pow.f64 b 3)) (+.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) (-.f64 (pow.f64 b 2) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) b))))
(/.f64 (-.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) (pow.f64 b 2)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 1)
(pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 3)
(pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2)
(sqrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2))
(log.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))
(cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 3))
(expm1.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(fma.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) b)
(fma.f64 1 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))
(fma.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) b)
(fma.f64 (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))
(fma.f64 -1 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)))) 1)
(*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (/.f64 -1 (*.f64 a -2)))
(*.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) a))
(*.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))) 2) (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2) (*.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (/.f64 -1 (*.f64 a -2))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))) (sqrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))))
(*.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (*.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (/.f64 -1 (*.f64 a -2))))
(*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (/.f64 1 (*.f64 a -2)))
(*.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) a) 1/2)
(*.f64 (/.f64 1 a) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a 2)) 2)) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (cbrt.f64 (*.f64 a 2))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 a 2))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (sqrt.f64 (*.f64 a 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) a) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) a))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 1) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (*.f64 a 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (pow.f64 (cbrt.f64 (*.f64 a 2)) 2)) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (cbrt.f64 (*.f64 a 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2) a) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2) 2) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (*.f64 a 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2) (pow.f64 (cbrt.f64 (*.f64 a 2)) 2)) (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2) (sqrt.f64 (*.f64 a 2))) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (sqrt.f64 (*.f64 a 2))))
(pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))) 2)
(pow.f64 (/.f64 (*.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) -1)
(neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a -2)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 3) (pow.f64 (*.f64 a 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))))
(exp.f64 (log.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3))) 1)
(*.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))
(*.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (fma.f64 b b (*.f64 -4 (*.f64 c a))))
(*.f64 1 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 3/4) (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))) 2) 3/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))) 3/2))
(*.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3/2) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3/2))
(*.f64 (*.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 1) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))
(*.f64 (*.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(*.f64 (*.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 3))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)) 1))
(exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 3))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)))

simplify572.0ms (4%)

Algorithm
egg-herbie
Rules
1222×distribute-lft-in
1096×*-commutative
734×+-commutative
606×fma-def
524×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0173365054
1553659478
Stop Event
node limit
Counts
747 → 1073
Calls
Call 1
Inputs
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 a 3) (pow.f64 c 3))) 1/4) (pow.f64 b 2))) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4))
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 a 3) (pow.f64 c 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 a 7) (pow.f64 c 7))) 1/4) (pow.f64 b 4))) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)))
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 a 3) (pow.f64 c 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 a 7) (pow.f64 c 7))) 1/4) (pow.f64 b 4))) (+.f64 (*.f64 -7/8192 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 a 11) (pow.f64 c 11))) 1/4) (pow.f64 b 6))) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (sqrt.f64 b) (+.f64 (*.f64 -1 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 a 2) (pow.f64 c 2))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 c 2)))))))
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(pow.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2)
(sqrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2))
(log.f64 (exp.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))
(cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 3))
(expm1.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))
(fma.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) b)
(fma.f64 1 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))
(fma.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) b)
(fma.f64 (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))
(fma.f64 -1 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)))) 1)
(*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (/.f64 -1 (*.f64 a -2)))
(*.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) a))
(*.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))) 2) (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2) (*.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (/.f64 -1 (*.f64 a -2))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))) (sqrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))))
(*.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (*.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (/.f64 -1 (*.f64 a -2))))
(*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (/.f64 1 (*.f64 a -2)))
(*.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) a) 1/2)
(*.f64 (/.f64 1 a) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a 2)) 2)) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (cbrt.f64 (*.f64 a 2))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 a 2))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (sqrt.f64 (*.f64 a 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) a) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) a))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 1) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (*.f64 a 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (pow.f64 (cbrt.f64 (*.f64 a 2)) 2)) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (cbrt.f64 (*.f64 a 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2) a) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2) 2) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (*.f64 a 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2) (pow.f64 (cbrt.f64 (*.f64 a 2)) 2)) (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) 2) (sqrt.f64 (*.f64 a 2))) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (sqrt.f64 (*.f64 a 2))))
(pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))) 2)
(pow.f64 (/.f64 (*.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) -1)
(neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a -2)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 3) (pow.f64 (*.f64 a 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))))
(exp.f64 (log.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (*.f64 a 2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3))) 1)
(*.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))
(*.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (fma.f64 b b (*.f64 -4 (*.f64 c a))))
(*.f64 1 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 3/4) (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))) 2) 3/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))) 3/2))
(*.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3/2) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3/2))
(*.f64 (*.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 1) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))
(*.f64 (*.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(*.f64 (*.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 3))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)) 1))
(exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 3))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)))
Outputs
(pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)
(pow.f64 (*.f64 (*.f64 -4 c) a) 1/4)
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 a 3) (pow.f64 c 3))) 1/4) (pow.f64 b 2))) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (*.f64 a c) 3)) 1/4) (pow.f64 b 2)) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (*.f64 a c) 3)) 1/4) (pow.f64 b 2)) (pow.f64 (*.f64 (*.f64 -4 c) a) 1/4))
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 a 3) (pow.f64 c 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 a 7) (pow.f64 c 7))) 1/4) (pow.f64 b 4))) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (*.f64 a c) 3)) 1/4) (pow.f64 b 2)) (fma.f64 -3/512 (*.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 a 7)) (pow.f64 c 7)) 1/4) (pow.f64 b 4)) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4)))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (*.f64 a c) 3)) 1/4) (pow.f64 b 2)) (fma.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 a 7) (pow.f64 c 7))) 1/4) (pow.f64 b 4)) (pow.f64 (*.f64 (*.f64 -4 c) a) 1/4)))
(+.f64 (*.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 a 3) (pow.f64 c 3))) 1/4) (pow.f64 b 2))) (+.f64 (*.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 a 7) (pow.f64 c 7))) 1/4) (pow.f64 b 4))) (+.f64 (*.f64 -7/8192 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 a 11) (pow.f64 c 11))) 1/4) (pow.f64 b 6))) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4))))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (*.f64 a c) 3)) 1/4) (pow.f64 b 2)) (fma.f64 -3/512 (*.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 a 7)) (pow.f64 c 7)) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 a 11) (pow.f64 c 11))) 1/4) (pow.f64 b 6)) (pow.f64 (*.f64 -4 (*.f64 a c)) 1/4))))
(fma.f64 -1/16 (*.f64 (pow.f64 (/.f64 -4 (pow.f64 (*.f64 a c) 3)) 1/4) (pow.f64 b 2)) (fma.f64 -3/512 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 a 7) (pow.f64 c 7))) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (*.f64 (pow.f64 (/.f64 -4 (*.f64 (pow.f64 a 11) (pow.f64 c 11))) 1/4) (pow.f64 b 6)) (pow.f64 (*.f64 (*.f64 -4 c) a) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (*.f64 -1 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (sqrt.f64 b) (*.f64 (*.f64 c (neg.f64 a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (sqrt.f64 b) (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (sqrt.f64 b) (+.f64 (*.f64 -1 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 a 2) (pow.f64 c 2))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 c 2)))))))
(+.f64 (sqrt.f64 b) (fma.f64 -1 (*.f64 a (*.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) -3/2))))
(+.f64 (sqrt.f64 b) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) -3/2)) (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (sqrt.f64 b) (+.f64 (*.f64 -1 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 a 2) (pow.f64 c 2))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 c 2))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (*.f64 -16/3 (*.f64 (pow.f64 a 3) (pow.f64 c 3))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (pow.f64 c 3))) (*.f64 2 (*.f64 (pow.f64 a 3) (pow.f64 c 3)))))))))
(+.f64 (sqrt.f64 b) (fma.f64 -1 (*.f64 a (*.f64 c (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) -3/2) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (fma.f64 -16/3 (pow.f64 (*.f64 a c) 3) (*.f64 (pow.f64 (*.f64 a c) 3) 11/6))))))
(+.f64 (sqrt.f64 b) (-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) -3/2) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (fma.f64 -16/3 (pow.f64 (*.f64 a c) 3) (*.f64 (pow.f64 (*.f64 a c) 3) 11/6)))) (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(*.f64 (sqrt.f64 b) (sqrt.f64 -1))
(+.f64 (*.f64 -1 (*.f64 (*.f64 a (*.f64 c (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(fma.f64 -1 (*.f64 a (*.f64 (*.f64 c (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(-.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 -1)) (*.f64 a (*.f64 (*.f64 c (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 a (*.f64 c (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 -2 (*.f64 (pow.f64 a 2) (pow.f64 c 2))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 c 2))))))))
(fma.f64 -1 (*.f64 a (*.f64 (*.f64 c (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (fma.f64 (sqrt.f64 b) (sqrt.f64 -1) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 -1)) (*.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) -3/2))))
(-.f64 (fma.f64 (sqrt.f64 b) (sqrt.f64 -1) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (*.f64 (*.f64 (pow.f64 a 2) (pow.f64 c 2)) -3/2) (sqrt.f64 -1)))) (*.f64 a (*.f64 (*.f64 c (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 a (*.f64 c (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 -1)) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 -2 (*.f64 (pow.f64 a 2) (pow.f64 c 2))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 c 2)))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (*.f64 (sqrt.f64 -1) (+.f64 (*.f64 -16/3 (*.f64 (pow.f64 a 3) (pow.f64 c 3))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (pow.f64 c 3))) (*.f64 2 (*.f64 (pow.f64 a 3) (pow.f64 c 3))))))))))
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b
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b
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b
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(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 -4))
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)))
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(*.f64 -2 b)
(*.f64 b -2)
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(*.f64 -2 (/.f64 (*.f64 a c) b))
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(*.f64 1 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3))
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3)
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) 3)
(*.f64 (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 3/4) (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 3/4))
(pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c))) 3/2)
(pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3/2)
(*.f64 (pow.f64 1 3/2) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3))
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3)
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))) 2) 3/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c)))) 2) 3/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) 2) 3/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))) 3/2))
(*.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3/2) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3/2))
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3)
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) 3)
(*.f64 (*.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 1) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))
(*.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (fma.f64 b b (*.f64 -4 (*.f64 a c))))
(*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) (fma.f64 b b (*.f64 (*.f64 -4 c) a)))
(*.f64 (*.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(*.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) (fma.f64 b b (*.f64 -4 (*.f64 a c))))
(*.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) (fma.f64 b b (*.f64 (*.f64 -4 c) a)))
(*.f64 (*.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))
(*.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c))) (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c))))))
(*.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) (*.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))))
(sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 3))
(sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c))) 3))
(sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)))
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3)
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3))))
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3)
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3) 3))
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3)
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)))
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3)
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) 3)
(exp.f64 (log.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)))
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3)
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)) 1))
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3)
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) 3)
(exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) 3))
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3)
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 3)))
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))) 3)
(pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))) 3)

eval1.1s (7.4%)

Compiler

Compiled 43825 to 31086 computations (29.1% saved)

prune278.0ms (1.9%)

Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New1048251073
Fresh7411
Picked325
Done011
Total1058321090
Accuracy
99.7%
Counts
1090 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.9%
(pow.f64 (pow.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a)) 3) 1/3)
22.9%
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 a 2))) 3)
29.6%
(pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a))) 3)
30.7%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 -4 c) a) (pow.f64 b 2)) (+.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) (*.f64 a 2))
29.8%
(/.f64 (/.f64 (neg.f64 a) (/.f64 b c)) a)
21.6%
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b) (*.f64 a 2))
22.2%
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) (*.f64 a 2))
31.7%
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a 2))
31.7%
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 -4 c) a) 1/4) 2)) (*.f64 a 2))
12.1%
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (*.f64 -2 (/.f64 (*.f64 a c) b)))) (*.f64 a 2))
23.9%
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 a 2))
18.4%
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))) (*.f64 a 2))
52.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))
25.4%
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 -4 c) a) 3/2))) (*.f64 a 2))
22.5%
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (neg.f64 (pow.f64 b 3)))) (*.f64 a 2))
28.9%
(/.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 a 2))
28.6%
(/.f64 (*.f64 -2 (*.f64 c (*.f64 a (/.f64 1 b)))) (*.f64 a 2))
30.1%
(/.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (*.f64 a 2))
34.5%
(/.f64 (neg.f64 c) b)
34.8%
(/.f64 (neg.f64 b) a)
11.3%
(/.f64 a (*.f64 a (/.f64 b c)))
31.7%
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))))
33.9%
(/.f64 1 (neg.f64 (/.f64 b c)))
27.7%
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 a (pow.f64 b 3)) (pow.f64 c 2)))
34.5%
(-.f64 (/.f64 c b) (/.f64 b a))
31.7%
(*.f64 (/.f64 1 (*.f64 a -2)) (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))
11.3%
(*.f64 (/.f64 1 a) (/.f64 2 (/.f64 2 (*.f64 a (/.f64 c b)))))
29.8%
(*.f64 (/.f64 -2 a) (*.f64 (/.f64 a (/.f64 b c)) 1/2))
28.7%
(*.f64 (*.f64 c (/.f64 a b)) (/.f64 (/.f64 -2 a) 2))
30.1%
(*.f64 -2 (/.f64 a (*.f64 (*.f64 a 2) (/.f64 b c))))
11.3%
(neg.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a)))
17.8%
(exp.f64 (log.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a))))
Compiler

Compiled 955 to 709 computations (25.8% saved)

localize202.0ms (1.4%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.9%
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 a 2))
99.8%
(*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))
99.9%
(/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))))
99.9%
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))))
88.2%
(sqrt.f64 (*.f64 (*.f64 -4 c) a))
98.1%
(/.f64 a (/.f64 b c))
91.1%
(*.f64 (/.f64 -2 a) (*.f64 (/.f64 a (/.f64 b c)) 1/2))
99.9%
(/.f64 1 (neg.f64 (/.f64 b c)))
Compiler

Compiled 169 to 88 computations (47.9% saved)

series37.0ms (0.3%)

Counts
8 → 138
Calls

63 calls:

TimeVariablePointExpression
5.0ms
b
@inf
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))))
4.0ms
c
@inf
(/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))))
2.0ms
c
@-inf
(/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))))
2.0ms
a
@inf
(/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))))
2.0ms
a
@-inf
(/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))))

rewrite112.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
510×associate-*r*
348×associate-*l*
256×times-frac
247×log1p-expm1-u
247×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036287
1572259
Stop Event
node limit
Counts
8 → 348
Calls
Call 1
Inputs
(/.f64 1 (neg.f64 (/.f64 b c)))
(*.f64 (/.f64 -2 a) (*.f64 (/.f64 a (/.f64 b c)) 1/2))
(/.f64 a (/.f64 b c))
(sqrt.f64 (*.f64 (*.f64 -4 c) a))
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))))
(/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a))))
(*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 a 2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 c b))) 1)
(*.f64 1 (/.f64 c b))
(*.f64 c (/.f64 1 b))
(*.f64 -1 (/.f64 c b))
(*.f64 (cbrt.f64 (/.f64 c b)) (pow.f64 (cbrt.f64 (/.f64 c b)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 c b)) 2) (cbrt.f64 (/.f64 c b)))
(*.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 c b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 b c)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 b c)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 b c)) -1) (pow.f64 (sqrt.f64 (/.f64 b c)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)))
(*.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (cbrt.f64 c) (cbrt.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 c) (sqrt.f64 b)))
(*.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) b))
(*.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 b)))
(*.f64 (/.f64 (sqrt.f64 c) (sqrt.f64 b)) (/.f64 (sqrt.f64 c) (sqrt.f64 b)))
(pow.f64 (/.f64 b c) -1)
(pow.f64 (cbrt.f64 (/.f64 c b)) 3)
(pow.f64 (pow.f64 (/.f64 c b) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 c b)) 2)
(pow.f64 (/.f64 c b) 1)
(sqrt.f64 (pow.f64 (/.f64 b c) -2))
(log.f64 (exp.f64 (/.f64 c b)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 c b))))
(cbrt.f64 (pow.f64 (/.f64 c b) 3))
(cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(expm1.f64 (log1p.f64 (/.f64 c b)))
(exp.f64 (log.f64 (/.f64 c b)))
(exp.f64 (*.f64 (log.f64 (/.f64 b c)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 c b)) 1))
(exp.f64 (-.f64 (log.f64 c) (log.f64 b)))
(log1p.f64 (expm1.f64 (/.f64 c b)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a))) 1)
(/.f64 1 (/.f64 a (*.f64 -1 (*.f64 a (/.f64 c b)))))
(/.f64 (*.f64 (*.f64 a (/.f64 c b)) 1/2) (*.f64 a -1/2))
(/.f64 (*.f64 a 1/2) (*.f64 (*.f64 a -1/2) (/.f64 b c)))
(/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a)
(/.f64 (*.f64 -2 (*.f64 a 1/2)) (*.f64 a (/.f64 b c)))
(/.f64 (*.f64 2 (*.f64 a 1/2)) (*.f64 (neg.f64 a) (/.f64 b c)))
(/.f64 (*.f64 (*.f64 a 1/2) 1) (*.f64 (/.f64 b c) (*.f64 a -1/2)))
(/.f64 (*.f64 (*.f64 a 1/2) -2) (*.f64 (/.f64 b c) a))
(/.f64 (*.f64 (*.f64 a 1/2) 2) (*.f64 (/.f64 b c) (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 -1 (*.f64 a (/.f64 c b)))) (neg.f64 a))
(/.f64 (*.f64 (*.f64 (*.f64 a (/.f64 c b)) 1/2) 1) (*.f64 a -1/2))
(/.f64 (*.f64 (*.f64 (*.f64 a (/.f64 c b)) 1/2) -2) a)
(/.f64 (*.f64 (/.f64 -2 a) (*.f64 a 1/2)) (/.f64 b c))
(/.f64 (*.f64 (*.f64 (*.f64 a (/.f64 c b)) 1/2) 2) (neg.f64 a))
(/.f64 (*.f64 2 (*.f64 (*.f64 a (/.f64 c b)) 1/2)) (neg.f64 a))
(/.f64 (*.f64 (*.f64 a 1/2) (/.f64 -2 a)) (/.f64 b c))
(/.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) 1) a)
(/.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(pow.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a)) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -2 a) 3) (pow.f64 (*.f64 (*.f64 a (/.f64 c b)) 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 a (/.f64 c b)) 1/2) 3) (pow.f64 (/.f64 -2 a) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a)))
(exp.f64 (log.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a)) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 c b)))) 1)
(*.f64 1 (*.f64 a (/.f64 c b)))
(*.f64 a (/.f64 c b))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 c b)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 c b))) (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 c b))) 2) (cbrt.f64 (*.f64 a (/.f64 c b))))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 c b)))
(*.f64 (sqrt.f64 (*.f64 a (/.f64 c b))) (sqrt.f64 (*.f64 a (/.f64 c b))))
(*.f64 (sqrt.f64 (/.f64 c b)) (/.f64 a (sqrt.f64 (/.f64 b c))))
(*.f64 (neg.f64 a) (/.f64 c b))
(*.f64 (/.f64 a b) c)
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 b c)))
(*.f64 (/.f64 (sqrt.f64 a) b) (/.f64 (sqrt.f64 a) (/.f64 1 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (/.f64 b c)))
(*.f64 (/.f64 1 b) (/.f64 a (/.f64 1 c)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 b c)) 2)) (/.f64 a (cbrt.f64 (/.f64 b c))))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (/.f64 b c)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (/.f64 b c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) b) (/.f64 (cbrt.f64 a) (/.f64 1 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (/.f64 b c)) 2)) (cbrt.f64 (*.f64 a (/.f64 c b))))
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(*.f64 (/.f64 -2 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (/.f64 a (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))
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(*.f64 (/.f64 a 1) (/.f64 -2 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(*.f64 (/.f64 a 1) (/.f64 2 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)))
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(log.f64 (/.f64 1 (exp.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)))))
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 -2 a) 3) (pow.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3)))
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(sqrt.f64 (*.f64 c (*.f64 -4 a)))
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(*.f64 1/2 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) a))
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(*.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (/.f64 1/2 a))
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(*.f64 (/.f64 1 a) (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) (sqrt.f64 (*.f64 -2 a))) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (sqrt.f64 (*.f64 -2 a))))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) a) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) -2))
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(pow.f64 (sqrt.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) 2)
(pow.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 1)
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(cbrt.f64 (pow.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3) (pow.f64 (*.f64 -2 a) 3)))
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(exp.f64 (log.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) 1))
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simplify243.0ms (1.7%)

Algorithm
egg-herbie
Rules
1576×log-prod
1192×fma-def
910×associate-/l*
852×associate-*r*
788×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069321939
1179020119
2738720083
Stop Event
node limit
Counts
486 → 414
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
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(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(/.f64 (*.f64 a c) b)
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(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(*.f64 -1/2 (/.f64 b a))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(+.f64 (*.f64 -1/2 (/.f64 b a)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))))
(*.f64 -1/2 (/.f64 b a))
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(*.f64 -1/2 (/.f64 b a))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 c b))) 1)
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a))) 1)
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(*.f64 (sqrt.f64 -4) (pow.f64 (*.f64 c a) 1/2))
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(*.f64 (sqrt.f64 -4) (*.f64 (sqrt.f64 c) (sqrt.f64 a)))
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(*.f64 (/.f64 a (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))) (/.f64 2 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))) (/.f64 a (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))))
(*.f64 (/.f64 2 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2))) (/.f64 a (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 a 2) 4)) (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2))) (cbrt.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 a 2) 4)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))) (/.f64 (cbrt.f64 (*.f64 -2 a)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 -2 a)) (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2))) (/.f64 (sqrt.f64 (*.f64 -2 a)) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 2))) (cbrt.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)))) (sqrt.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))))
(pow.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))) 2)
(pow.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) -1)
(neg.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 -2 a) 3) (pow.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 -2 a) 3) (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))))
(exp.f64 (log.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1)
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3)
(pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 1/4) 2)
(sqrt.f64 (*.f64 c (*.f64 -4 a)))
(fabs.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(cbrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 -4 a))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(+.f64 (*.f64 (/.f64 1/2 a) b) (*.f64 (/.f64 1/2 a) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(+.f64 (*.f64 b (/.f64 1/2 a)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)))) 1)
(-.f64 (/.f64 b (*.f64 -2 a)) (/.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 -2 a)))
(*.f64 1 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)))
(*.f64 1/2 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) a))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (/.f64 1/2 a))
(*.f64 -1 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) -2)) (cbrt.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2)) (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) (/.f64 1/2 a)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) (sqrt.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) (*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) (/.f64 1/2 a)))
(*.f64 (/.f64 1 a) (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) a) 1/2)
(*.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(*.f64 (/.f64 1/2 a) (pow.f64 (/.f64 1 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))) -1) (pow.f64 (sqrt.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))) -1))
(*.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) (*.f64 -2 a)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 1) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) (*.f64 -2 a)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) a) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 2))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 a 2) 4))) (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (cbrt.f64 (*.f64 -2 a))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 a 2) 4))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (cbrt.f64 (*.f64 -2 a))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 -2 a))) (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (sqrt.f64 (*.f64 -2 a))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 -2 a))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (sqrt.f64 (*.f64 -2 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) 1) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (*.f64 -2 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) -2) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) a) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) (cbrt.f64 (*.f64 (pow.f64 a 2) 4))) (cbrt.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) (sqrt.f64 (*.f64 -2 a))) (/.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (sqrt.f64 (*.f64 -2 a))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (*.f64 -2 a)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) -2) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) a))
(*.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) a) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) -2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (cbrt.f64 (*.f64 (pow.f64 a 2) 4))) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (cbrt.f64 (*.f64 -2 a))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2)) a) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2)) 2) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) a))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2)) (cbrt.f64 (*.f64 (pow.f64 a 2) 4))) (cbrt.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2)) (sqrt.f64 (*.f64 -2 a))) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) (sqrt.f64 (*.f64 -2 a))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 2) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) a))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) (cbrt.f64 (*.f64 (pow.f64 a 2) 4))) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) (cbrt.f64 (*.f64 -2 a))))
(*.f64 (*.f64 (/.f64 1/2 a) 1) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(*.f64 (*.f64 (/.f64 1/2 a) (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2)) (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(*.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(pow.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) -1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) 2)
(pow.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 1)
(neg.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) -2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3) (pow.f64 (*.f64 -2 a) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 3) (pow.f64 (*.f64 -2 a) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(exp.f64 (log.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
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(/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 a -2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) -2) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) a))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2) (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (*.f64 a -2))
(/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 a -2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) a) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) -2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2) (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (*.f64 a -2))
(/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 a -2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (cbrt.f64 (*.f64 (pow.f64 a 2) 4))) (/.f64 (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (cbrt.f64 (*.f64 -2 a))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 4 (pow.f64 a 2)))) (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (*.f64 a -2))))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (*.f64 a -2))) (cbrt.f64 (*.f64 4 (pow.f64 a 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2)) a) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) 2)) a) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b)) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2)) 2) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) a))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2)) a) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) 2)) a) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b)) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2)) (cbrt.f64 (*.f64 (pow.f64 a 2) 4))) (cbrt.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2)) (cbrt.f64 (*.f64 4 (pow.f64 a 2)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) 2)) (cbrt.f64 (*.f64 4 (pow.f64 a 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2)) (sqrt.f64 (*.f64 -2 a))) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) (sqrt.f64 (*.f64 -2 a))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2)) (sqrt.f64 (*.f64 a -2))) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) (sqrt.f64 (*.f64 a -2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) 2)) (sqrt.f64 (*.f64 a -2))) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b)) (sqrt.f64 (*.f64 a -2))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) 2) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) a))
(*.f64 (/.f64 1 a) (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 2))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) a) 2)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) (cbrt.f64 (*.f64 (pow.f64 a 2) 4))) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) (cbrt.f64 (*.f64 -2 a))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 4 (pow.f64 a 2)))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (cbrt.f64 (*.f64 a -2))))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) (cbrt.f64 (*.f64 a -2))) (cbrt.f64 (*.f64 4 (pow.f64 a 2))))
(*.f64 (*.f64 (/.f64 1/2 a) 1) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(*.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(*.f64 (*.f64 (/.f64 1/2 a) (pow.f64 (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2)) (cbrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(*.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(*.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (sqrt.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(*.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(pow.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) -1)
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 a -2))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (sqrt.f64 (*.f64 a -2))))
(*.f64 -1/2 (/.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) a))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) 3)
(*.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(pow.f64 (pow.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 3) 1/3)
(*.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) 2)
(*.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(pow.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 1)
(*.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(neg.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (neg.f64 (/.f64 1/2 a)))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b)) -2))
(sqrt.f64 (pow.f64 (/.f64 -2 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) a)) -2))
(fabs.f64 (*.f64 -1/2 (/.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) a)))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) a))))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)))))
(*.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 3))
(*.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3) (pow.f64 (*.f64 -2 a) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 3) (*.f64 -8 (pow.f64 a 3))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 3) (*.f64 (pow.f64 a 3) -8)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 3) (pow.f64 (*.f64 -2 a) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) 3) (*.f64 -8 (pow.f64 a 3))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) 3) (*.f64 (pow.f64 a 3) -8)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(*.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(exp.f64 (log.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(*.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 -2 a) (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))) -1))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 a -2))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (sqrt.f64 (*.f64 a -2))))
(*.f64 -1/2 (/.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)) b) a))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) 1))
(*.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(*.f64 (/.f64 1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))

eval140.0ms (1%)

Compiler

Compiled 7808 to 5210 computations (33.3% saved)

prune114.0ms (0.8%)

Pruning

41 alts after pruning (33 fresh and 8 done)

PrunedKeptTotal
New39618414
Fresh91524
Picked055
Done033
Total40541446
Accuracy
99.7%
Counts
446 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.9%
(pow.f64 (pow.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a) 3) 1/3)
11.0%
(pow.f64 (pow.f64 (/.f64 c b) 3) 1/3)
29.9%
(pow.f64 (cbrt.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a)) 3)
30.7%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 -4 c) a) (pow.f64 b 2)) (+.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) (*.f64 a 2))
29.8%
(/.f64 (/.f64 (neg.f64 a) (/.f64 b c)) a)
21.6%
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b) (*.f64 a 2))
22.2%
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) (*.f64 a 2))
31.7%
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a 2))
31.7%
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 -4 c) a) 1/4) 2)) (*.f64 a 2))
12.1%
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (*.f64 -2 (/.f64 (*.f64 a c) b)))) (*.f64 a 2))
23.9%
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 a 2))
18.4%
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))) (*.f64 a 2))
52.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))
25.4%
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 -4 c) a) 3/2))) (*.f64 a 2))
22.5%
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (neg.f64 (pow.f64 b 3)))) (*.f64 a 2))
33.9%
(/.f64 (*.f64 (/.f64 -2 a) (*.f64 a 1/2)) (/.f64 b c))
30.1%
(/.f64 (*.f64 (*.f64 a 1/2) -2) (*.f64 (/.f64 b c) a))
28.9%
(/.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 a 2))
28.6%
(/.f64 (*.f64 -2 (*.f64 c (*.f64 a (/.f64 1 b)))) (*.f64 a 2))
30.1%
(/.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (*.f64 a 2))
34.5%
(/.f64 (neg.f64 c) b)
34.8%
(/.f64 (neg.f64 b) a)
11.3%
(/.f64 c b)
23.9%
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (pow.f64 (*.f64 c -4) 1/4) (*.f64 (pow.f64 (*.f64 c -4) 1/4) (sqrt.f64 a))))))
23.9%
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))))
31.7%
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))))
31.7%
(/.f64 1 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 a -2))))
19.3%
(/.f64 1 (*.f64 (/.f64 a 1) (/.f64 2 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))))
33.9%
(/.f64 1 (neg.f64 (/.f64 b c)))
27.7%
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 a (pow.f64 b 3)) (pow.f64 c 2)))
34.5%
(-.f64 (/.f64 c b) (/.f64 b a))
19.3%
(*.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (/.f64 1/2 a))
29.8%
(*.f64 (/.f64 -2 a) (*.f64 (/.f64 a (/.f64 b c)) 1/2))
11.3%
(*.f64 (/.f64 -2 a) (*.f64 (*.f64 (/.f64 c b) (neg.f64 a)) 1/2))
28.7%
(*.f64 (/.f64 -2 a) (*.f64 (*.f64 (/.f64 a b) c) 1/2))
28.8%
(*.f64 (/.f64 -2 a) (*.f64 (*.f64 (/.f64 1 b) (/.f64 a (/.f64 1 c))) 1/2))
31.7%
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
11.3%
(*.f64 c (/.f64 1 b))
11.3%
(neg.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a)))
10.8%
(expm1.f64 (log1p.f64 (/.f64 c b)))
18.0%
(exp.f64 (log.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a)))
Compiler

Compiled 1149 to 861 computations (25.1% saved)

localize241.0ms (1.7%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 -4 c) a) 3/2)))
99.9%
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 -4 c) a) 3/2))) (*.f64 a 2))
99.9%
(pow.f64 (*.f64 (*.f64 -4 c) a) 3/2)
84.6%
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -4 c) a) 3/2))
99.9%
(pow.f64 (/.f64 c b) 3)
85.3%
(pow.f64 (pow.f64 (/.f64 c b) 3) 1/3)
99.9%
(*.f64 c (/.f64 1 b))
95.9%
(*.f64 a (*.f64 c (/.f64 1 b)))
93.1%
(/.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (*.f64 a 2))
Compiler

Compiled 150 to 83 computations (44.7% saved)

series176.0ms (1.2%)

Counts
9 → 196
Calls

66 calls:

TimeVariablePointExpression
50.0ms
a
@-inf
(pow.f64 (*.f64 (*.f64 -4 c) a) 3/2)
36.0ms
c
@-inf
(pow.f64 (*.f64 (*.f64 -4 c) a) 3/2)
36.0ms
c
@0
(pow.f64 (*.f64 (*.f64 -4 c) a) 3/2)
14.0ms
a
@0
(pow.f64 (*.f64 (*.f64 -4 c) a) 3/2)
7.0ms
c
@inf
(pow.f64 (*.f64 (*.f64 -4 c) a) 3/2)

rewrite205.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
620×expm1-udef
620×log1p-udef
561×log1p-expm1-u
388×associate-*r*
324×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033263
1448231
26398231
Stop Event
node limit
Counts
9 → 339
Calls
Call 1
Inputs
(/.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (*.f64 a 2))
(*.f64 a (*.f64 c (/.f64 1 b)))
(*.f64 c (/.f64 1 b))
(pow.f64 (pow.f64 (/.f64 c b) 3) 1/3)
(pow.f64 (/.f64 c b) 3)
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -4 c) a) 3/2))
(pow.f64 (*.f64 (*.f64 -4 c) a) 3/2)
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 -4 c) a) 3/2))) (*.f64 a 2))
(+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 -4 c) a) 3/2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1 (/.f64 (*.f64 a (/.f64 c b)) a)))) 1)
(*.f64 -2 (/.f64 (*.f64 a (/.f64 c b)) (*.f64 a 2)))
(*.f64 -2 (/.f64 1 (*.f64 (/.f64 b c) (/.f64 (*.f64 a 2) a))))
(*.f64 -2 (*.f64 (*.f64 a (/.f64 c b)) (/.f64 1/2 a)))
(*.f64 1 (*.f64 -1 (/.f64 (*.f64 a (/.f64 c b)) a)))
(*.f64 (*.f64 a (/.f64 c b)) (*.f64 -2 (/.f64 1/2 a)))
(*.f64 (*.f64 a (*.f64 (/.f64 c b) -2)) (/.f64 1/2 a))
(*.f64 (*.f64 a (*.f64 (/.f64 c b) -2)) (/.f64 1 (*.f64 -2 a)))
(*.f64 (*.f64 -1 (/.f64 (*.f64 a (/.f64 c b)) a)) 1)
(*.f64 -1 (/.f64 (*.f64 a (/.f64 c b)) a))
(*.f64 (cbrt.f64 (*.f64 -1 (/.f64 (*.f64 a (/.f64 c b)) a))) (pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 (*.f64 a (/.f64 c b)) a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 (*.f64 a (/.f64 c b)) a))) 2) (cbrt.f64 (*.f64 -1 (/.f64 (*.f64 a (/.f64 c b)) a))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2) 3/2) (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 3/2) (pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 3/2))
(*.f64 (*.f64 (*.f64 c (*.f64 -4 a)) (cbrt.f64 (*.f64 c (*.f64 -4 a)))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(*.f64 (*.f64 (*.f64 c (*.f64 -4 a)) (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(sqrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))
(exp.f64 (*.f64 3/2 (log.f64 (*.f64 c (*.f64 -4 a)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 c (*.f64 -4 a)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)))) 1)
(*.f64 1 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 1)
(*.f64 (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 2)) (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) (*.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (/.f64 1/2 a)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) (sqrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(*.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (*.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (/.f64 1/2 a)))
(*.f64 (/.f64 1/2 a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1 (*.f64 -2 a)))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) 1/2)
(*.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a))
(*.f64 (/.f64 1 a) (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a 2)) 2)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (cbrt.f64 (*.f64 a 2))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 a 2))) (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (sqrt.f64 (*.f64 a 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) a) (/.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (*.f64 a 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) 2) (/.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) (pow.f64 (cbrt.f64 (*.f64 a 2)) 2)) (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) (sqrt.f64 (*.f64 a 2))) (/.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (sqrt.f64 (*.f64 a 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) a) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) a))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (*.f64 a 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (pow.f64 (cbrt.f64 (*.f64 a 2)) 2)) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (cbrt.f64 (*.f64 a 2))))
(pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) 2)
(pow.f64 (/.f64 (*.f64 a 2) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) -1)
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (*.f64 -2 a)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3) (pow.f64 (*.f64 a 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(exp.f64 (log.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(-.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)
(-.f64 0 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 1)
(-.f64 (/.f64 (pow.f64 b 2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (/.f64 (*.f64 c (*.f64 -4 a)) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(-.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 0) b)
(*.f64 1 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 1)
(*.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(*.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(*.f64 (+.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (+.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))
(*.f64 (-.f64 (pow.f64 b 2) (*.f64 c (*.f64 -4 a))) (/.f64 1 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(/.f64 1 (/.f64 (fma.f64 b b (+.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (+.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) (pow.f64 b 3))))
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(/.f64 (+.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) (pow.f64 b 3)) (fma.f64 b b (+.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) (pow.f64 b 3)) (+.f64 (*.f64 c (*.f64 -4 a)) (-.f64 (pow.f64 b 2) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))
(/.f64 (-.f64 (pow.f64 b 2) (*.f64 c (*.f64 -4 a))) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (+.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 2) (*.f64 c (*.f64 -4 a)))) (neg.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(/.f64 (-.f64 (*.f64 c (*.f64 -4 a)) (pow.f64 b 2)) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 1)
(pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 3)
(pow.f64 (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2)
(sqrt.f64 (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 2))
(log.f64 (exp.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))
(cbrt.f64 (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3))
(expm1.f64 (log1p.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(exp.f64 (log.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1))
(log1p.f64 (expm1.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(fma.f64 1 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))
(fma.f64 1 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)
(fma.f64 -1 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))
(fma.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 -4 a))))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 -4 a))))

simplify158.0ms (1.1%)

Algorithm
egg-herbie
Rules
1196×associate-*r*
1086×associate-*l*
806×associate-/l*
618×associate-*r/
556×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070614934
1170714347
Stop Event
node limit
Counts
535 → 413
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 (*.f64 a c) b)
(/.f64 c b)
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(/.f64 c b)
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(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(/.f64 c b)
(*.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b))
(*.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b))
(*.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b))
(*.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b))
(/.f64 c b)
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(/.f64 c b)
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(/.f64 c b)
(/.f64 c b)
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(*.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b))
(*.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b))
(*.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b))
(*.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
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(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
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(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 c) (log.f64 (*.f64 -4 a)))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
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(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(/.f64 (pow.f64 (neg.f64 c) 3) (pow.f64 b 3))
(/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 (/.f64 c b) 2) c) b)
(/.f64 (*.f64 (pow.f64 (/.f64 c b) 2) 1) (/.f64 b c))
(/.f64 (*.f64 c (pow.f64 (/.f64 c b) 2)) b)
(/.f64 (*.f64 (pow.f64 (/.f64 c b) 2) (neg.f64 c)) b)
(/.f64 (*.f64 (neg.f64 c) (pow.f64 (/.f64 c b) 2)) b)
(sqrt.f64 (pow.f64 (/.f64 c b) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 c b) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 c b) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 c b) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 c b) 3)))
(exp.f64 (log.f64 (pow.f64 (/.f64 c b) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 c b) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 c b) 3)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1)
(*.f64 1 (sqrt.f64 (*.f64 c (*.f64 -4 a))))
(*.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (cbrt.f64 (*.f64 c (*.f64 -4 a))))
(*.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a))
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c -4)))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (*.f64 c (*.f64 -4 a))))
(*.f64 (pow.f64 (pow.f64 (*.f64 c -4) 3/2) 1/3) (pow.f64 (pow.f64 a 3/2) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/4) 1/3) (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 c -4) 3/2)) (cbrt.f64 (pow.f64 a 3/2)))
(*.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 a c)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a)))))
(pow.f64 (*.f64 c (*.f64 -4 a)) 1/2)
(pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 2)
(sqrt.f64 (*.f64 c (*.f64 -4 a)))
(fabs.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 c (*.f64 -4 a)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2))) 1)
(*.f64 1 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2))
(*.f64 (*.f64 c (*.f64 -4 a)) (sqrt.f64 (*.f64 c (*.f64 -4 a))))
(*.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) 1)
(*.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) (*.f64 c (*.f64 -4 a)))
(*.f64 (pow.f64 (*.f64 c -4) 3/2) (pow.f64 a 3/2))
(*.f64 (pow.f64 a 3/2) (pow.f64 (*.f64 c -4) 3/2))
(*.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/4) (pow.f64 (*.f64 c (*.f64 -4 a)) 3/4))
(*.f64 (pow.f64 -4 3/2) (pow.f64 (*.f64 a c) 3/2))
(*.f64 (pow.f64 1 3/2) (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 2) 3/2) (pow.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 3/2) (pow.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 3/2))
(*.f64 (*.f64 (*.f64 c (*.f64 -4 a)) (cbrt.f64 (*.f64 c (*.f64 -4 a)))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(*.f64 (*.f64 (*.f64 c (*.f64 -4 a)) (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(sqrt.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))
(exp.f64 (*.f64 3/2 (log.f64 (*.f64 c (*.f64 -4 a)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 c (*.f64 -4 a)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)))) 1)
(*.f64 1 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 1)
(*.f64 (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 2)) (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) (*.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (/.f64 1/2 a)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) (sqrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(*.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (*.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (/.f64 1/2 a)))
(*.f64 (/.f64 1/2 a) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1 (*.f64 -2 a)))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a) 1/2)
(*.f64 1/2 (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a))
(*.f64 (/.f64 1 a) (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a 2)) 2)) (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (cbrt.f64 (*.f64 a 2))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 a 2))) (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (sqrt.f64 (*.f64 a 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) a) (/.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (*.f64 a 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) 2) (/.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) (pow.f64 (cbrt.f64 (*.f64 a 2)) 2)) (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) (sqrt.f64 (*.f64 a 2))) (/.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (sqrt.f64 (*.f64 a 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) a) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) a))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (*.f64 a 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (pow.f64 (cbrt.f64 (*.f64 a 2)) 2)) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (cbrt.f64 (*.f64 a 2))))
(pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) 2)
(pow.f64 (/.f64 (*.f64 a 2) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) -1)
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (*.f64 -2 a)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3) (pow.f64 (*.f64 a 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(exp.f64 (log.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (/.f64 1/2 a))))
(-.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)
(-.f64 0 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) 1)
(-.f64 (/.f64 (pow.f64 b 2) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (/.f64 (*.f64 c (*.f64 -4 a)) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(-.f64 (+.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a))) 0) b)
(*.f64 1 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(*.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 1)
(*.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2) (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(*.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(*.f64 (+.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (+.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))
(*.f64 (-.f64 (pow.f64 b 2) (*.f64 c (*.f64 -4 a))) (/.f64 1 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(/.f64 1 (/.f64 (fma.f64 b b (+.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))) (+.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) (pow.f64 b 3))))
(/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (-.f64 (pow.f64 b 2) (*.f64 c (*.f64 -4 a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) (pow.f64 b 3)) (fma.f64 b b (+.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) (pow.f64 b 3)) (+.f64 (*.f64 c (*.f64 -4 a)) (-.f64 (pow.f64 b 2) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))
(/.f64 (-.f64 (pow.f64 b 2) (*.f64 c (*.f64 -4 a))) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (+.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 2) (*.f64 c (*.f64 -4 a)))) (neg.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(/.f64 (-.f64 (*.f64 c (*.f64 -4 a)) (pow.f64 b 2)) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 1)
(pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 3)
(pow.f64 (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2)
(sqrt.f64 (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 2))
(log.f64 (exp.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))
(cbrt.f64 (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3))
(expm1.f64 (log1p.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(exp.f64 (log.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1))
(log1p.f64 (expm1.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(fma.f64 1 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))
(fma.f64 1 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)
(fma.f64 -1 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))
(fma.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 -4 a))))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 -4 a))))
Outputs
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
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(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 c (*.f64 a -4)) 3/2)) (fma.f64 b b (fma.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))) (*.f64 c (*.f64 a -4)))))
(/.f64 (+.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) (pow.f64 b 3)) (+.f64 (*.f64 c (*.f64 -4 a)) (-.f64 (pow.f64 b 2) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 c (*.f64 a -4)) 3/2)) (fma.f64 c (*.f64 a -4) (-.f64 (pow.f64 b 2) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 c (*.f64 a -4)) 3/2)) (fma.f64 c (*.f64 a -4) (*.f64 b (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))
(/.f64 (-.f64 (pow.f64 b 2) (*.f64 c (*.f64 -4 a))) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(/.f64 (-.f64 (pow.f64 b 2) (*.f64 c (*.f64 a -4))) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(/.f64 (fma.f64 b b (*.f64 (*.f64 c 4) a)) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 c (*.f64 -4 a)) 3/2) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (+.f64 (*.f64 c (*.f64 -4 a)) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 c (*.f64 a -4)) 3/2))) (neg.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 c (*.f64 a -4)) 3/2)) (fma.f64 b b (fma.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))) (*.f64 c (*.f64 a -4))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 2) (*.f64 c (*.f64 -4 a)))) (neg.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 2) (*.f64 c (*.f64 a -4)))) (neg.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))
(*.f64 1 (/.f64 (fma.f64 b b (*.f64 (*.f64 c 4) a)) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))
(/.f64 (-.f64 (*.f64 c (*.f64 -4 a)) (pow.f64 b 2)) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))
(/.f64 (-.f64 (*.f64 c (*.f64 a -4)) (pow.f64 b 2)) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 1)
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))
(pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 3)
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))
(pow.f64 (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3) 1/3)
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))
(pow.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 2)
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))
(sqrt.f64 (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 2))
(sqrt.f64 (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 2))
(fabs.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(log.f64 (exp.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))))))
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))
(cbrt.f64 (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a)))) 3))
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))
(expm1.f64 (log1p.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))
(exp.f64 (log.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))) 1))
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))
(log1p.f64 (expm1.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))))
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))
(fma.f64 1 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))
(fma.f64 1 (sqrt.f64 (*.f64 c (*.f64 -4 a))) b)
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))
(fma.f64 -1 b (sqrt.f64 (*.f64 c (*.f64 -4 a))))
(neg.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(fma.f64 -1 b (sqrt.f64 (*.f64 c (*.f64 a -4))))
(fma.f64 (cbrt.f64 (*.f64 c (*.f64 -4 a))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) b)
(fma.f64 (cbrt.f64 (*.f64 c (*.f64 a -4))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)
(fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (*.f64 c (*.f64 a -4))) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 -4 a))))
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) (sqrt.f64 (sqrt.f64 (*.f64 c (*.f64 -4 a)))) b)
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 -4 a))))
(+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))

eval164.0ms (1.1%)

Compiler

Compiled 6583 to 4237 computations (35.6% saved)

prune170.0ms (1.2%)

Pruning

44 alts after pruning (33 fresh and 11 done)

PrunedKeptTotal
New40310413
Fresh52328
Picked145
Done178
Total41044454
Accuracy
99.7%
Counts
454 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.9%
(pow.f64 (pow.f64 (/.f64 (neg.f64 c) b) 3) 1/3)
11.0%
(pow.f64 (pow.f64 (/.f64 c b) 3) 1/3)
22.9%
(/.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 c 4) a)) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a 2))
29.8%
(/.f64 (/.f64 (neg.f64 a) (/.f64 b c)) a)
21.6%
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b) (*.f64 a 2))
22.2%
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) (*.f64 a 2))
31.7%
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a 2))
31.7%
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 -4 c) a) 1/4) 2)) (*.f64 a 2))
12.1%
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (*.f64 -2 (/.f64 (*.f64 a c) b)))) (*.f64 a 2))
23.9%
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 a 2))
18.4%
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))) (*.f64 a 2))
52.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 a 2))
25.4%
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 -4 c) a) 3/2))) (*.f64 a 2))
22.5%
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (neg.f64 (pow.f64 b 3)))) (*.f64 a 2))
33.9%
(/.f64 (*.f64 (/.f64 -2 a) (*.f64 a 1/2)) (/.f64 b c))
30.1%
(/.f64 (*.f64 (*.f64 a 1/2) -2) (*.f64 (/.f64 b c) a))
28.6%
(/.f64 (*.f64 -2 (*.f64 c (*.f64 a (/.f64 1 b)))) (*.f64 a 2))
27.5%
(/.f64 (*.f64 -2 (*.f64 a (expm1.f64 (log1p.f64 (/.f64 c b))))) (*.f64 a 2))
19.3%
(/.f64 (*.f64 -2 (*.f64 a (exp.f64 (log.f64 (/.f64 c b))))) (*.f64 a 2))
34.5%
(/.f64 (neg.f64 c) b)
34.8%
(/.f64 (neg.f64 b) a)
11.3%
(/.f64 c b)
23.9%
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (pow.f64 (*.f64 c -4) 1/4) (*.f64 (pow.f64 (*.f64 c -4) 1/4) (sqrt.f64 a))))))
23.9%
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))))
31.7%
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))))
31.7%
(/.f64 1 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 a -2))))
19.3%
(/.f64 1 (*.f64 (/.f64 a 1) (/.f64 2 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))))
33.9%
(/.f64 1 (neg.f64 (/.f64 b c)))
27.7%
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 a (pow.f64 b 3)) (pow.f64 c 2)))
34.5%
(-.f64 (/.f64 c b) (/.f64 b a))
19.3%
(*.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (/.f64 1/2 a))
30.6%
(*.f64 (/.f64 (*.f64 -2 a) 2) (/.f64 (/.f64 c b) a))
11.3%
(*.f64 (/.f64 1 b) c)
31.7%
(*.f64 (/.f64 -1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
29.8%
(*.f64 (/.f64 -2 a) (*.f64 (/.f64 a (/.f64 b c)) 1/2))
11.3%
(*.f64 (/.f64 -2 a) (*.f64 (*.f64 (/.f64 c b) (neg.f64 a)) 1/2))
28.7%
(*.f64 (/.f64 -2 a) (*.f64 (*.f64 (/.f64 a b) c) 1/2))
28.8%
(*.f64 (/.f64 -2 a) (*.f64 (*.f64 (/.f64 1 b) (/.f64 a (/.f64 1 c))) 1/2))
34.4%
(*.f64 (neg.f64 c) (/.f64 1 b))
11.3%
(*.f64 a (*.f64 (*.f64 (/.f64 c b) -2) (/.f64 -1/2 a)))
11.3%
(neg.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a)))
11.3%
(neg.f64 (*.f64 -1 (/.f64 (*.f64 a (/.f64 c b)) a)))
10.8%
(expm1.f64 (log1p.f64 (/.f64 c b)))
18.0%
(exp.f64 (log.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a)))
Compiler

Compiled 1569 to 1034 computations (34.1% saved)

regimes908.0ms (6.3%)

Counts
71 → 3
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(*.f64 c (/.f64 1 b))
(*.f64 (/.f64 1 b) c)
(*.f64 (neg.f64 c) (/.f64 1 b))
(/.f64 1 (neg.f64 (/.f64 b c)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 a (*.f64 a (/.f64 b c)))
(/.f64 (/.f64 (neg.f64 a) (/.f64 b c)) a)
(neg.f64 (*.f64 -1 (/.f64 (*.f64 a (/.f64 c b)) a)))
(neg.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a)))
(*.f64 -2 (/.f64 a (*.f64 (*.f64 a 2) (/.f64 b c))))
(*.f64 a (*.f64 (*.f64 (/.f64 c b) -2) (/.f64 -1/2 a)))
(*.f64 (*.f64 c (/.f64 a b)) (/.f64 (/.f64 -2 a) 2))
(*.f64 (/.f64 -2 a) (*.f64 (*.f64 (/.f64 a b) c) 1/2))
(*.f64 (/.f64 -2 a) (*.f64 (/.f64 a (/.f64 b c)) 1/2))
(*.f64 (/.f64 (*.f64 -2 a) 2) (/.f64 (/.f64 c b) a))
(/.f64 (*.f64 -2 (/.f64 a (/.f64 b c))) (*.f64 a 2))
(/.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 a 2))
(/.f64 (*.f64 (*.f64 a 1/2) -2) (*.f64 (/.f64 b c) a))
(/.f64 (*.f64 (/.f64 -2 a) (*.f64 a 1/2)) (/.f64 b c))
(*.f64 (/.f64 -2 a) (*.f64 (*.f64 (/.f64 c b) (neg.f64 a)) 1/2))
(*.f64 (/.f64 1 a) (/.f64 2 (/.f64 2 (*.f64 a (/.f64 c b)))))
(/.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (*.f64 a 2))
(/.f64 (*.f64 -2 (*.f64 c (*.f64 a (/.f64 1 b)))) (*.f64 a 2))
(*.f64 (/.f64 -2 a) (*.f64 (*.f64 (/.f64 1 b) (/.f64 a (/.f64 1 c))) 1/2))
(/.f64 (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 a c) b))) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (*.f64 -2 (/.f64 (*.f64 a c) b)))) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 a 2) (/.f64 b c)) b)) (*.f64 a 2))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(*.f64 (/.f64 -1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 -4 a) c))) (*.f64 a 2))
(*.f64 (/.f64 1 (*.f64 a -2)) (-.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (*.f64 a -2))))
(/.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))
(expm1.f64 (log1p.f64 (/.f64 c b)))
(pow.f64 (pow.f64 (/.f64 c b) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (neg.f64 c) b) 3) 1/3)
(exp.f64 (log.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a))))
(exp.f64 (log.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a)))
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (neg.f64 (pow.f64 b 3)))) (*.f64 a 2))
(pow.f64 (cbrt.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a))) 3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a)) 3)
(/.f64 (*.f64 -2 (*.f64 a (exp.f64 (log.f64 (/.f64 c b))))) (*.f64 a 2))
(/.f64 (*.f64 -2 (*.f64 a (expm1.f64 (log1p.f64 (/.f64 c b))))) (*.f64 a 2))
(pow.f64 (pow.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a)) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (*.f64 -1 (*.f64 a (/.f64 c b))) a) 3) 1/3)
(-.f64 (/.f64 (neg.f64 c) b) (*.f64 (/.f64 a (pow.f64 b 3)) (pow.f64 c 2)))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 a)) (sqrt.f64 c))) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 -4 c)) (sqrt.f64 a))) (*.f64 a 2))
(*.f64 (/.f64 1/2 a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))))
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a)))))
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (*.f64 (*.f64 -4 c) a) 3/2))) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (*.f64 (*.f64 -4 c) a) 1/4) 2)) (*.f64 a 2))
(/.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 c 4) a)) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (*.f64 a 2))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 -4 c) a) (pow.f64 b 2)) (+.f64 b (sqrt.f64 (*.f64 (*.f64 -4 c) a)))) (*.f64 a 2))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b) (/.f64 1/2 a))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (*.f64 a 2))) 3)
(/.f64 1 (*.f64 (/.f64 a 1) (/.f64 2 (fma.f64 (sqrt.f64 (*.f64 c -4)) (sqrt.f64 a) b))))
(pow.f64 (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))) 2)) -1)
(/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 3/2))) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) 1/4) 2)) (*.f64 a 2))
(/.f64 1 (/.f64 (*.f64 a -2) (-.f64 b (*.f64 (pow.f64 (*.f64 c -4) 1/4) (*.f64 (pow.f64 (*.f64 c -4) 1/4) (sqrt.f64 a))))))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)))) (/.f64 1/2 a))) 3)
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) b) (*.f64 a 2))
(/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a)) (pow.f64 b 2)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 -4 c) a))))) (*.f64 a 2))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))) 2) b) (*.f64 a 2))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
(/.f64 (neg.f64 c) b)
Calls

4 calls:

385.0ms
c
264.0ms
a
118.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
99.0ms
b
Results
AccuracySegmentsBranch
61.7%5a
83.7%3b
64.2%7c
75.6%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (*.f64 2 a))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes54.0ms (0.4%)

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

1 calls:

51.0ms
b
Results
AccuracySegmentsBranch
81.6%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes63.0ms (0.4%)

Counts
32 → 3
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(*.f64 c (/.f64 1 b))
(*.f64 (/.f64 1 b) c)
(*.f64 (neg.f64 c) (/.f64 1 b))
(/.f64 1 (neg.f64 (/.f64 b c)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 a (*.f64 a (/.f64 b c)))
(/.f64 (/.f64 (neg.f64 a) (/.f64 b c)) a)
(neg.f64 (*.f64 -1 (/.f64 (*.f64 a (/.f64 c b)) a)))
(neg.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a)))
(*.f64 -2 (/.f64 a (*.f64 (*.f64 a 2) (/.f64 b c))))
(*.f64 a (*.f64 (*.f64 (/.f64 c b) -2) (/.f64 -1/2 a)))
(*.f64 (*.f64 c (/.f64 a b)) (/.f64 (/.f64 -2 a) 2))
(*.f64 (/.f64 -2 a) (*.f64 (*.f64 (/.f64 a b) c) 1/2))
(*.f64 (/.f64 -2 a) (*.f64 (/.f64 a (/.f64 b c)) 1/2))
(*.f64 (/.f64 (*.f64 -2 a) 2) (/.f64 (/.f64 c b) a))
(/.f64 (*.f64 -2 (/.f64 a (/.f64 b c))) (*.f64 a 2))
(/.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 a 2))
(/.f64 (*.f64 (*.f64 a 1/2) -2) (*.f64 (/.f64 b c) a))
(/.f64 (*.f64 (/.f64 -2 a) (*.f64 a 1/2)) (/.f64 b c))
(*.f64 (/.f64 -2 a) (*.f64 (*.f64 (/.f64 c b) (neg.f64 a)) 1/2))
(*.f64 (/.f64 1 a) (/.f64 2 (/.f64 2 (*.f64 a (/.f64 c b)))))
(/.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (*.f64 a 2))
(/.f64 (*.f64 -2 (*.f64 c (*.f64 a (/.f64 1 b)))) (*.f64 a 2))
(*.f64 (/.f64 -2 a) (*.f64 (*.f64 (/.f64 1 b) (/.f64 a (/.f64 1 c))) 1/2))
(/.f64 (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 a c) b))) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (*.f64 -2 (/.f64 (*.f64 a c) b)))) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 a 2) (/.f64 b c)) b)) (*.f64 a 2))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(*.f64 (/.f64 -1/2 a) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a))
(/.f64 (neg.f64 c) b)
Calls

1 calls:

57.0ms
b
Results
AccuracySegmentsBranch
81.6%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes82.0ms (0.6%)

Counts
30 → 2
Calls
Call 1
Inputs
(/.f64 c b)
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
(*.f64 c (/.f64 1 b))
(*.f64 (/.f64 1 b) c)
(*.f64 (neg.f64 c) (/.f64 1 b))
(/.f64 1 (neg.f64 (/.f64 b c)))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 a (*.f64 a (/.f64 b c)))
(/.f64 (/.f64 (neg.f64 a) (/.f64 b c)) a)
(neg.f64 (*.f64 -1 (/.f64 (*.f64 a (/.f64 c b)) a)))
(neg.f64 (*.f64 -1 (/.f64 (/.f64 a (/.f64 b c)) a)))
(*.f64 -2 (/.f64 a (*.f64 (*.f64 a 2) (/.f64 b c))))
(*.f64 a (*.f64 (*.f64 (/.f64 c b) -2) (/.f64 -1/2 a)))
(*.f64 (*.f64 c (/.f64 a b)) (/.f64 (/.f64 -2 a) 2))
(*.f64 (/.f64 -2 a) (*.f64 (*.f64 (/.f64 a b) c) 1/2))
(*.f64 (/.f64 -2 a) (*.f64 (/.f64 a (/.f64 b c)) 1/2))
(*.f64 (/.f64 (*.f64 -2 a) 2) (/.f64 (/.f64 c b) a))
(/.f64 (*.f64 -2 (/.f64 a (/.f64 b c))) (*.f64 a 2))
(/.f64 (*.f64 -2 (/.f64 (*.f64 a c) b)) (*.f64 a 2))
(/.f64 (*.f64 (*.f64 a 1/2) -2) (*.f64 (/.f64 b c) a))
(/.f64 (*.f64 (/.f64 -2 a) (*.f64 a 1/2)) (/.f64 b c))
(*.f64 (/.f64 -2 a) (*.f64 (*.f64 (/.f64 c b) (neg.f64 a)) 1/2))
(*.f64 (/.f64 1 a) (/.f64 2 (/.f64 2 (*.f64 a (/.f64 c b)))))
(/.f64 (*.f64 -2 (*.f64 a (*.f64 c (/.f64 1 b)))) (*.f64 a 2))
(/.f64 (*.f64 -2 (*.f64 c (*.f64 a (/.f64 1 b)))) (*.f64 a 2))
(*.f64 (/.f64 -2 a) (*.f64 (*.f64 (/.f64 1 b) (/.f64 a (/.f64 1 c))) 1/2))
(/.f64 (+.f64 (*.f64 -2 b) (*.f64 2 (/.f64 (*.f64 a c) b))) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 b) (+.f64 b (*.f64 -2 (/.f64 (*.f64 a c) b)))) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 a 2) (/.f64 b c)) b)) (*.f64 a 2))
Outputs
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 c) b)
Calls

1 calls:

80.0ms
b
Results
AccuracySegmentsBranch
66.7%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

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

3 calls:

6.0ms
b
4.0ms
c
3.0ms
a
Results
AccuracySegmentsBranch
34.8%1c
34.8%1a
43.1%2b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

3.0ms
b
3.0ms
c
3.0ms
a
Results
AccuracySegmentsBranch
11.3%1c
11.3%1a
11.3%1b
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch39.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
2.3253393067165147e-61
2.164327474526428e-60
14.0ms
-24255328.757400874
-12124679.175575808
Results
19.0ms132×256valid
4.0ms32×256invalid
2.0ms10×512valid
4.0ms10×1024valid
3.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms2048valid
0.0ms256invalid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
Compiler

Compiled 360 to 255 computations (29.2% saved)

bsearch52.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
2.3253393067165147e-61
2.164327474526428e-60
28.0ms
-8.051346604363873e-54
-2.0906439793435875e-61
Results
28.0ms198×256valid
8.0ms43×256invalid
3.0ms512valid
3.0ms1024valid
3.0ms2048valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
1.0ms512valid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
Compiler

Compiled 413 to 298 computations (27.8% saved)

bsearch50.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
2.3253393067165147e-61
2.164327474526428e-60
26.0ms
-8.051346604363873e-54
-2.0906439793435875e-61
Results
28.0ms194×256valid
5.0ms40×256invalid
3.0ms15×512valid
3.0ms1024valid
2.0ms2048valid
0.0ms1024valid
0.0ms256valid
0.0ms256invalid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 413 to 298 computations (27.8% saved)

bsearch25.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
-1.4010478473526185e-307
8.467225103824192e-308
Results
14.0ms96×256valid
6.0ms51×256invalid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256invalid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 138 to 103 computations (25.4% saved)

bsearch29.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
888857818063550.1
12595810987806262.0
Results
5.0ms37×256valid
7.0ms16×2048valid
5.0ms16×1024valid
3.0ms11×512valid
1.0ms256invalid
0.0ms256valid
0.0ms256valid
0.0ms256invalid
0.0ms256valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms2048valid
0.0ms2048valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms2048valid
0.0ms1024valid
2.0ms1024valid
0.0ms256valid
0.0ms2048valid
Compiler

Compiled 116 to 85 computations (26.7% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
34×*-commutative
28×+-commutative
26×sub-neg
18×neg-mul-1
18×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068480
195476
2119476
3138476
4147476
5150476
6151476
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 b -24000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4052723123306067/3618502788666131106986593281521497120414687020801267626233049500247285301248) (/.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 -1984252074702287/431359146674410236714672241392314090778194310760649159697657763987456) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2623414521782945/1809251394333065553493296640760748560207343510400633813116524750123642650624) (/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -5348853418762687/1725436586697640946858688965569256363112777243042596638790631055949824) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 633237988016573/904625697166532776746648320380374280103671755200316906558262375061821325312) (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b))
(if (<=.f64 b 900000000000000) (/.f64 (neg.f64 b) a) (/.f64 c b))
(/.f64 c b)
Outputs
(if (<=.f64 b -24000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4052723123306067/3618502788666131106986593281521497120414687020801267626233049500247285301248) (/.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 -24000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4052723123306067/3618502788666131106986593281521497120414687020801267626233049500247285301248) (/.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 -24000000) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 4052723123306067/3618502788666131106986593281521497120414687020801267626233049500247285301248) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 c a)))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -1984252074702287/431359146674410236714672241392314090778194310760649159697657763987456) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2623414521782945/1809251394333065553493296640760748560207343510400633813116524750123642650624) (/.f64 (-.f64 (sqrt.f64 (*.f64 (*.f64 -4 c) a)) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -1984252074702287/431359146674410236714672241392314090778194310760649159697657763987456) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 2623414521782945/1809251394333065553493296640760748560207343510400633813116524750123642650624) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -4))) b) (*.f64 a 2)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -5348853418762687/1725436586697640946858688965569256363112777243042596638790631055949824) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b 633237988016573/904625697166532776746648320380374280103671755200316906558262375061821325312) (*.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (/.f64 -1/2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b))
(if (<=.f64 b 900000000000000) (/.f64 (neg.f64 b) a) (/.f64 c b))
(/.f64 c b)
Compiler

Compiled 141 to 91 computations (35.5% saved)

soundness4.4s (30.9%)

Rules
1576×log-prod
1576×log-prod
1298×div-sub
1250×fma-def
1238×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067779
1180691
2439671
31250671
42803671
56734671
052816139
1138915384
2650615295
052816139
1138915384
2650615295
038569
1601493
0173365054
1553659478
036287
1572259
069321939
1179020119
2738720083
052816139
1138915384
2650615295
052816139
1138915384
2650615295
038569
1601493
0173365054
1553659478
036287
1572259
069321939
1179020119
2738720083
021189
1294177
24287177
0173365054
1553659478
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1222 to 806 computations (34% saved)

end0.0ms (0%)

preprocess109.0ms (0.8%)

Compiler

Compiled 508 to 252 computations (50.4% saved)

Profiling

Loading profile data...