Details

Time bar (total: 5.4s)

analyze17.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
50%50%0%4
75%25%0%5
87.5%12.5%0%6
93.7%6.2%0%7
96.8%3.1%0%8
98.4%1.6%0%9
99.2%0.8%0%10
99.6%0.4%0%11
99.8%0.2%0%12
99.9%0.1%0%13
99.9%0%0%14
Compiler

Compiled 19 to 15 computations (21.1% saved)

sample1.0s (19.4%)

Results
1.0s8256×body128valid

preprocess33.0ms (0.6%)

Algorithm
egg-herbie
Rules
1040×fma-neg_binary64
807×times-frac_binary64
392×div-sub_binary64
208×fma-def_binary64
181×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01525
12519
24519
38219
413019
520719
637619
762319
8160819
9301219
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
Outputs
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))))
(-.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify24.0ms (0.5%)

Algorithm
egg-herbie
Rules
1040×fma-neg_binary64
807×times-frac_binary64
392×div-sub_binary64
208×fma-def_binary64
181×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01525
12519
24519
38219
413019
520719
637619
762319
8160819
9301219
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
Outputs
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))))
(-.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

eval1.0ms (0%)

Compiler

Compiled 32 to 24 computations (25% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
0.2b
(fma.f64 x 4481/100000 99229/100000)
0.2b
(fma.f64 x -27061/100000 -230753/100000)
14.6b
(/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series7.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms
x
@0
(/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms
x
@-inf
(/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms
x
@-inf
(fma.f64 x -27061/100000 -230753/100000)
0.0ms
x
@inf
(fma.f64 x -27061/100000 -230753/100000)

rewrite65.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
497×unpow-prod-down_binary64
418×log-prod_binary64
268×pow2_binary64
188×expm1-udef_binary64
188×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
122535
2250735
Stop Event
node limit
Counts
4 → 165
Calls
Call 1
Inputs
(/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
(fma.f64 x -27061/100000 -230753/100000)
(fma.f64 x 4481/100000 99229/100000)
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
Outputs
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simplify43.0ms (0.8%)

Algorithm
egg-herbie
Rules
776×fma-def_binary64
410×times-frac_binary64
394×fma-neg_binary64
275×associate-/l/_binary64
207×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056415
1138401
2299387
3728369
42123366
Stop Event
node limit
Counts
213 → 198
Calls
Call 1
Inputs
-230753/100000
(-.f64 (*.f64 20191289437/10000000000 x) 230753/100000)
(-.f64 (+.f64 (*.f64 20191289437/10000000000 x) (*.f64 -1900161040244073/1000000000000000 (pow.f64 x 2))) 230753/100000)
(-.f64 (+.f64 (*.f64 20191289437/10000000000 x) (+.f64 (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3)) (*.f64 -1900161040244073/1000000000000000 (pow.f64 x 2)))) 230753/100000)
(/.f64 -27061/4481 x)
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(/.f64 -27061/4481 x)
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
-230753/100000
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
(*.f64 -27061/100000 x)
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
(*.f64 -27061/100000 x)
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
1
(+.f64 (*.f64 99229/100000 x) 1)
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
Outputs
-230753/100000
(-.f64 (*.f64 20191289437/10000000000 x) 230753/100000)
(fma.f64 20191289437/10000000000 x -230753/100000)
(-.f64 (+.f64 (*.f64 20191289437/10000000000 x) (*.f64 -1900161040244073/1000000000000000 (pow.f64 x 2))) 230753/100000)
(+.f64 (fma.f64 20191289437/10000000000 x (*.f64 -1900161040244073/1000000000000000 (*.f64 x x))) -230753/100000)
(fma.f64 20191289437/10000000000 x (fma.f64 -1900161040244073/1000000000000000 (*.f64 x x) -230753/100000))
(fma.f64 20191289437/10000000000 x (fma.f64 x (*.f64 x -1900161040244073/1000000000000000) -230753/100000))
(fma.f64 x (fma.f64 x -1900161040244073/1000000000000000 20191289437/10000000000) -230753/100000)
(-.f64 (+.f64 (*.f64 20191289437/10000000000 x) (+.f64 (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3)) (*.f64 -1900161040244073/1000000000000000 (pow.f64 x 2)))) 230753/100000)
(+.f64 (fma.f64 20191289437/10000000000 x (fma.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3) (*.f64 -1900161040244073/1000000000000000 (*.f64 x x)))) -230753/100000)
(+.f64 (fma.f64 -1900161040244073/1000000000000000 (*.f64 x x) (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))) (fma.f64 20191289437/10000000000 x -230753/100000))
(fma.f64 20191289437/10000000000 x (fma.f64 x (*.f64 x -1900161040244073/1000000000000000) (fma.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3) -230753/100000)))
(fma.f64 x (fma.f64 x -1900161040244073/1000000000000000 20191289437/10000000000) (fma.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3) -230753/100000))
(fma.f64 x (fma.f64 x (fma.f64 x 179503363065659419717/100000000000000000000 -1900161040244073/1000000000000000) 20191289437/10000000000) -230753/100000)
(/.f64 -27061/4481 x)
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 27061/4481 x))
(+.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (/.f64 -27061/4481 x))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 -27061/4481 x))
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(-.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))))
(-.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))))
(+.f64 (/.f64 -151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 -27061/4481 x)))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 -27061/4481 x) (/.f64 -151724043800704/89975616641 (pow.f64 x 3))))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (-.f64 (/.f64 -27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (-.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 27061/4481 x)) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (+.f64 (/.f64 -151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 -27061/4481 x))))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (+.f64 (/.f64 -27061/4481 x) (/.f64 -151724043800704/89975616641 (pow.f64 x 3)))))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 -27061/4481 x) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 14315508183474457216/403180738168321 x) 151724043800704/89975616641))))
(/.f64 -27061/4481 x)
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 27061/4481 x))
(+.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (/.f64 -27061/4481 x))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 -27061/4481 x))
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(-.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))))
(-.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))))
(+.f64 (/.f64 -151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 -27061/4481 x)))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 -27061/4481 x) (/.f64 -151724043800704/89975616641 (pow.f64 x 3))))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (-.f64 (/.f64 -27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (-.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 27061/4481 x)) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (+.f64 (/.f64 -151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 -27061/4481 x))))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (+.f64 (/.f64 -27061/4481 x) (/.f64 -151724043800704/89975616641 (pow.f64 x 3)))))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 -27061/4481 x) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 14315508183474457216/403180738168321 x) 151724043800704/89975616641))))
-230753/100000
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
(fma.f64 -27061/100000 x -230753/100000)
(fma.f64 x -27061/100000 -230753/100000)
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
(fma.f64 -27061/100000 x -230753/100000)
(fma.f64 x -27061/100000 -230753/100000)
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
(fma.f64 -27061/100000 x -230753/100000)
(fma.f64 x -27061/100000 -230753/100000)
(*.f64 -27061/100000 x)
(*.f64 x -27061/100000)
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
(fma.f64 -27061/100000 x -230753/100000)
(fma.f64 x -27061/100000 -230753/100000)
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
(fma.f64 -27061/100000 x -230753/100000)
(fma.f64 x -27061/100000 -230753/100000)
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
(fma.f64 -27061/100000 x -230753/100000)
(fma.f64 x -27061/100000 -230753/100000)
(*.f64 -27061/100000 x)
(*.f64 x -27061/100000)
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
(fma.f64 -27061/100000 x -230753/100000)
(fma.f64 x -27061/100000 -230753/100000)
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
(fma.f64 -27061/100000 x -230753/100000)
(fma.f64 x -27061/100000 -230753/100000)
(-.f64 (*.f64 -27061/100000 x) 230753/100000)
(fma.f64 -27061/100000 x -230753/100000)
(fma.f64 x -27061/100000 -230753/100000)
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
1
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (fma.f64 99229/100000 x 1) (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (fma.f64 (*.f64 x x) 4481/100000 1))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (fma.f64 99229/100000 x 1) (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (fma.f64 (*.f64 x x) 4481/100000 1))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (fma.f64 99229/100000 x 1) (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (fma.f64 (*.f64 x x) 4481/100000 1))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (fma.f64 99229/100000 x 1) (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (fma.f64 (*.f64 x x) 4481/100000 1))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (fma.f64 99229/100000 x 1) (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (fma.f64 (*.f64 x x) 4481/100000 1))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (fma.f64 99229/100000 x 1) (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (fma.f64 (*.f64 x x) 4481/100000 1))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)

eval169.0ms (3.2%)

Compiler

Compiled 4204 to 3270 computations (22.2% saved)

prune787.0ms (14.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1962198
Fresh000
Picked011
Done000
Total1963199
Error
0b
Counts
199 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
0.0b
(+.f64 x (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x -27061/100000 -230753/100000))) 2) -1) (cbrt.f64 (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
0.0b
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Compiler

Compiled 159 to 125 computations (21.4% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
13.8b
(pow.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/3)
14.6b
(sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
14.6b
(/.f64 (fma.f64 x -27061/100000 -230753/100000) (*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

series30.0ms (0.6%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
12.0ms
x
@-inf
(pow.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/3)
8.0ms
x
@inf
(pow.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/3)
2.0ms
x
@inf
(cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
2.0ms
x
@0
(sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms
x
@inf
(sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

rewrite68.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
288×log1p-udef_binary64
181×add-sqr-sqrt_binary64
171×add-cbrt-cube_binary64
171×add-log-exp_binary64
171×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019100
139753
2449553
Stop Event
node limit
Counts
4 → 112
Calls
Call 1
Inputs
(/.f64 (fma.f64 x -27061/100000 -230753/100000) (*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
(sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
(pow.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/3)
(cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -27061/100000 -230753/100000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -27061/100000 -230753/100000) 2)) (*.f64 (cbrt.f64 (fma.f64 x -27061/100000 -230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 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simplify41.0ms (0.8%)

Algorithm
egg-herbie
Rules
588×fma-def_binary64
487×times-frac_binary64
279×associate-/r*_binary64
234×associate-/l*_binary64
159×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01511032
1420962
21244774
Stop Event
node limit
Counts
152 → 177
Calls
Call 1
Inputs
-230753/100000
(-.f64 (*.f64 20191289437/10000000000 x) 230753/100000)
(-.f64 (+.f64 (*.f64 20191289437/10000000000 x) (*.f64 -1900161040244073/1000000000000000 (pow.f64 x 2))) 230753/100000)
(-.f64 (+.f64 (*.f64 20191289437/10000000000 x) (+.f64 (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3)) (*.f64 -1900161040244073/1000000000000000 (pow.f64 x 2)))) 230753/100000)
(/.f64 -27061/4481 x)
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(/.f64 -27061/4481 x)
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
1
(+.f64 (*.f64 99229/200000 x) 1)
(+.f64 (*.f64 99229/200000 x) (+.f64 1 (*.f64 -8053994441/80000000000 (pow.f64 x 2))))
(+.f64 (*.f64 99229/200000 x) (+.f64 1 (+.f64 (*.f64 -8053994441/80000000000 (pow.f64 x 2)) (*.f64 799189814385989/16000000000000000 (pow.f64 x 3)))))
(*.f64 (sqrt.f64 4481/100000) x)
(+.f64 (*.f64 (sqrt.f64 4481/100000) x) (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))))
(+.f64 (*.f64 (sqrt.f64 4481/100000) x) (+.f64 (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))) (*.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 (sqrt.f64 4481/100000) x)))))
(+.f64 (*.f64 (sqrt.f64 4481/100000) x) (+.f64 (*.f64 -99229/400000 (/.f64 (-.f64 1 (pow.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 (pow.f64 (sqrt.f64 4481/100000) 3) (pow.f64 x 2)))) (+.f64 (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))) (*.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 (sqrt.f64 4481/100000) x))))))
(*.f64 -1 (*.f64 (sqrt.f64 4481/100000) x))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 4481/100000) x)) (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 4481/100000) x)) (*.f64 -1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 -99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 (sqrt.f64 4481/100000) x)))) (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 4481/100000) x)) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 -99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 (sqrt.f64 4481/100000) x))) (*.f64 99229/400000 (/.f64 (-.f64 1 (pow.f64 (/.f64 -99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 (pow.f64 (sqrt.f64 4481/100000) 3) (pow.f64 x 2)))))) (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))))
1
(+.f64 1 (*.f64 99229/120000 x))
(+.f64 1 (+.f64 (*.f64 -4469194441/144000000000 (pow.f64 x 2)) (*.f64 99229/120000 x)))
(+.f64 (*.f64 5238612581501923/259200000000000000 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -4469194441/144000000000 (pow.f64 x 2)) (*.f64 99229/120000 x))))
1
(+.f64 (*.f64 99229/600000 x) 1)
(+.f64 (*.f64 99229/600000 x) (+.f64 1 (*.f64 -8770954441/144000000000 (pow.f64 x 2))))
(+.f64 (*.f64 99229/600000 x) (+.f64 1 (+.f64 (*.f64 -8770954441/144000000000 (pow.f64 x 2)) (*.f64 9146804077445879/259200000000000000 (pow.f64 x 3)))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (*.f64 99229/26886 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) x)))
(+.f64 (*.f64 -43854772205/1445713992 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (*.f64 99229/26886 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) x))))
(+.f64 (*.f64 -43854772205/1445713992 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))) (+.f64 (*.f64 45734020387229395/116608399166736 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (*.f64 99229/26886 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) x)))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))))
(+.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (*.f64 99229/26886 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) x)))
(+.f64 (*.f64 -43854772205/1445713992 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (*.f64 99229/26886 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) x))))
(+.f64 (*.f64 45734020387229395/116608399166736 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -43854772205/1445713992 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (*.f64 99229/26886 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) x)))))
Outputs
-230753/100000
(-.f64 (*.f64 20191289437/10000000000 x) 230753/100000)
(fma.f64 20191289437/10000000000 x -230753/100000)
(-.f64 (+.f64 (*.f64 20191289437/10000000000 x) (*.f64 -1900161040244073/1000000000000000 (pow.f64 x 2))) 230753/100000)
(+.f64 (fma.f64 20191289437/10000000000 x (*.f64 -1900161040244073/1000000000000000 (*.f64 x x))) -230753/100000)
(fma.f64 20191289437/10000000000 x (fma.f64 -1900161040244073/1000000000000000 (*.f64 x x) -230753/100000))
(fma.f64 20191289437/10000000000 x (fma.f64 x (*.f64 x -1900161040244073/1000000000000000) -230753/100000))
(-.f64 (+.f64 (*.f64 20191289437/10000000000 x) (+.f64 (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3)) (*.f64 -1900161040244073/1000000000000000 (pow.f64 x 2)))) 230753/100000)
(+.f64 (fma.f64 20191289437/10000000000 x (fma.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3) (*.f64 -1900161040244073/1000000000000000 (*.f64 x x)))) -230753/100000)
(+.f64 (fma.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3) (*.f64 (*.f64 -1900161040244073/1000000000000000 x) x)) (fma.f64 20191289437/10000000000 x -230753/100000))
(fma.f64 20191289437/10000000000 x (fma.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3) (fma.f64 x (*.f64 x -1900161040244073/1000000000000000) -230753/100000)))
(/.f64 -27061/4481 x)
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 27061/4481 x))
(+.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (/.f64 -27061/4481 x))
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(-.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 -27061/4481 x))
(+.f64 (/.f64 -151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (/.f64 -27061/4481 x)))
(-.f64 (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (-.f64 (-.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (/.f64 27061/4481 x)) (/.f64 151724043800704/89975616641 (pow.f64 x 3))))
(+.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (+.f64 (/.f64 -151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (/.f64 -27061/4481 x))))
(/.f64 -27061/4481 x)
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 27061/4481 x))
(+.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (/.f64 -27061/4481 x))
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(-.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 -27061/4481 x))
(+.f64 (/.f64 -151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (/.f64 -27061/4481 x)))
(-.f64 (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (-.f64 (-.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (/.f64 27061/4481 x)) (/.f64 151724043800704/89975616641 (pow.f64 x 3))))
(+.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (+.f64 (/.f64 -151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (/.f64 -27061/4481 x))))
1
(+.f64 (*.f64 99229/200000 x) 1)
(fma.f64 99229/200000 x 1)
(fma.f64 x 99229/200000 1)
(+.f64 (*.f64 99229/200000 x) (+.f64 1 (*.f64 -8053994441/80000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 99229/200000 x 1) (*.f64 (*.f64 x x) -8053994441/80000000000))
(fma.f64 x 99229/200000 (fma.f64 (*.f64 x x) -8053994441/80000000000 1))
(fma.f64 x 99229/200000 (fma.f64 x (*.f64 x -8053994441/80000000000) 1))
(+.f64 (*.f64 99229/200000 x) (+.f64 1 (+.f64 (*.f64 -8053994441/80000000000 (pow.f64 x 2)) (*.f64 799189814385989/16000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 99229/200000 x 1) (fma.f64 -8053994441/80000000000 (*.f64 x x) (*.f64 (pow.f64 x 3) 799189814385989/16000000000000000)))
(+.f64 (fma.f64 (pow.f64 x 3) 799189814385989/16000000000000000 (*.f64 x (*.f64 x -8053994441/80000000000))) (fma.f64 x 99229/200000 1))
(fma.f64 x 99229/200000 (fma.f64 (pow.f64 x 3) 799189814385989/16000000000000000 (fma.f64 x (*.f64 x -8053994441/80000000000) 1)))
(*.f64 (sqrt.f64 4481/100000) x)
(*.f64 x (sqrt.f64 4481/100000))
(+.f64 (*.f64 (sqrt.f64 4481/100000) x) (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))))
(fma.f64 (sqrt.f64 4481/100000) x (/.f64 99229/200000 (sqrt.f64 4481/100000)))
(fma.f64 x (sqrt.f64 4481/100000) (/.f64 99229/200000 (sqrt.f64 4481/100000)))
(+.f64 (*.f64 (sqrt.f64 4481/100000) x) (+.f64 (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))) (*.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 (sqrt.f64 4481/100000) x)))))
(+.f64 (fma.f64 (sqrt.f64 4481/100000) x (/.f64 99229/200000 (sqrt.f64 4481/100000))) (*.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 x (sqrt.f64 4481/100000)))))
(fma.f64 x (sqrt.f64 4481/100000) (fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 x (sqrt.f64 4481/100000))) (/.f64 99229/200000 (sqrt.f64 4481/100000))))
(+.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) (fma.f64 x (sqrt.f64 4481/100000) (/.f64 (/.f64 -8053994441/3584800000 (sqrt.f64 4481/100000)) x)))
(+.f64 (*.f64 (sqrt.f64 4481/100000) x) (+.f64 (*.f64 -99229/400000 (/.f64 (-.f64 1 (pow.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 (pow.f64 (sqrt.f64 4481/100000) 3) (pow.f64 x 2)))) (+.f64 (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))) (*.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 (sqrt.f64 4481/100000) x))))))
(fma.f64 (sqrt.f64 4481/100000) x (fma.f64 -99229/400000 (/.f64 (-.f64 1 (pow.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 4481/100000) 3))) (+.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) (*.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 x (sqrt.f64 4481/100000)))))))
(fma.f64 x (sqrt.f64 4481/100000) (fma.f64 -99229/400000 (/.f64 (-.f64 1 (pow.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 x (*.f64 x (*.f64 4481/100000 (sqrt.f64 4481/100000))))) (fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 x (sqrt.f64 4481/100000))) (/.f64 99229/200000 (sqrt.f64 4481/100000)))))
(+.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) (+.f64 (fma.f64 x (sqrt.f64 4481/100000) (/.f64 (/.f64 -8053994441/3584800000 (sqrt.f64 4481/100000)) x)) (/.f64 799189814385989/32126977600000 (*.f64 x (*.f64 x (sqrt.f64 4481/100000))))))
(*.f64 -1 (*.f64 (sqrt.f64 4481/100000) x))
(neg.f64 (*.f64 x (sqrt.f64 4481/100000)))
(*.f64 x (neg.f64 (sqrt.f64 4481/100000)))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 4481/100000) x)) (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))))
(-.f64 (neg.f64 (*.f64 x (sqrt.f64 4481/100000))) (/.f64 99229/200000 (sqrt.f64 4481/100000)))
(fma.f64 (neg.f64 (sqrt.f64 4481/100000)) x (/.f64 -99229/200000 (sqrt.f64 4481/100000)))
(-.f64 (/.f64 -99229/200000 (sqrt.f64 4481/100000)) (*.f64 x (sqrt.f64 4481/100000)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 4481/100000) x)) (*.f64 -1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 -99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 (sqrt.f64 4481/100000) x)))) (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))))
(-.f64 (fma.f64 -1 (*.f64 x (sqrt.f64 4481/100000)) (*.f64 -1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 -99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 x (sqrt.f64 4481/100000))))) (/.f64 99229/200000 (sqrt.f64 4481/100000)))
(fma.f64 (neg.f64 (sqrt.f64 4481/100000)) x (fma.f64 -1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 -99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 x (sqrt.f64 4481/100000))) (/.f64 -99229/200000 (sqrt.f64 4481/100000))))
(-.f64 (/.f64 8053994441/3584800000 (*.f64 x (sqrt.f64 4481/100000))) (fma.f64 x (sqrt.f64 4481/100000) (/.f64 99229/200000 (sqrt.f64 4481/100000))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 4481/100000) x)) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 -99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 (sqrt.f64 4481/100000) x))) (*.f64 99229/400000 (/.f64 (-.f64 1 (pow.f64 (/.f64 -99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 (pow.f64 (sqrt.f64 4481/100000) 3) (pow.f64 x 2)))))) (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))))
(-.f64 (fma.f64 -1 (*.f64 x (sqrt.f64 4481/100000)) (fma.f64 -1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 -99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 x (sqrt.f64 4481/100000))) (*.f64 99229/400000 (/.f64 (-.f64 1 (pow.f64 (/.f64 -99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 4481/100000) 3)))))) (/.f64 99229/200000 (sqrt.f64 4481/100000)))
(+.f64 (fma.f64 -1/2 (/.f64 (-.f64 1 (pow.f64 (/.f64 -99229/200000 (sqrt.f64 4481/100000)) 2)) (*.f64 x (sqrt.f64 4481/100000))) (/.f64 99229/400000 (/.f64 (*.f64 x (*.f64 x (*.f64 4481/100000 (sqrt.f64 4481/100000)))) (-.f64 1 (pow.f64 (/.f64 -99229/200000 (sqrt.f64 4481/100000)) 2))))) (fma.f64 (neg.f64 (sqrt.f64 4481/100000)) x (/.f64 -99229/200000 (sqrt.f64 4481/100000))))
(+.f64 (/.f64 -799189814385989/32126977600000 (*.f64 x (*.f64 x (sqrt.f64 4481/100000)))) (-.f64 (/.f64 8053994441/3584800000 (*.f64 x (sqrt.f64 4481/100000))) (fma.f64 x (sqrt.f64 4481/100000) (/.f64 99229/200000 (sqrt.f64 4481/100000)))))
1
(+.f64 1 (*.f64 99229/120000 x))
(+.f64 1 (*.f64 x 99229/120000))
(fma.f64 x 99229/120000 1)
(+.f64 1 (+.f64 (*.f64 -4469194441/144000000000 (pow.f64 x 2)) (*.f64 99229/120000 x)))
(+.f64 1 (fma.f64 -4469194441/144000000000 (*.f64 x x) (*.f64 x 99229/120000)))
(+.f64 (*.f64 (*.f64 -4469194441/144000000000 x) x) (fma.f64 x 99229/120000 1))
(fma.f64 x 99229/120000 (fma.f64 x (*.f64 x -4469194441/144000000000) 1))
(+.f64 (*.f64 5238612581501923/259200000000000000 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -4469194441/144000000000 (pow.f64 x 2)) (*.f64 99229/120000 x))))
(fma.f64 5238612581501923/259200000000000000 (pow.f64 x 3) (+.f64 1 (fma.f64 -4469194441/144000000000 (*.f64 x x) (*.f64 x 99229/120000))))
(+.f64 (fma.f64 x 99229/120000 (*.f64 (*.f64 -4469194441/144000000000 x) x)) (fma.f64 (pow.f64 x 3) 5238612581501923/259200000000000000 1))
(fma.f64 (pow.f64 x 3) 5238612581501923/259200000000000000 (fma.f64 x 99229/120000 (fma.f64 x (*.f64 x -4469194441/144000000000) 1)))
1
(+.f64 (*.f64 99229/600000 x) 1)
(fma.f64 99229/600000 x 1)
(fma.f64 x 99229/600000 1)
(+.f64 (*.f64 99229/600000 x) (+.f64 1 (*.f64 -8770954441/144000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 99229/600000 x 1) (*.f64 (*.f64 x x) -8770954441/144000000000))
(fma.f64 x 99229/600000 (fma.f64 (*.f64 x x) -8770954441/144000000000 1))
(fma.f64 x 99229/600000 (fma.f64 x (*.f64 x -8770954441/144000000000) 1))
(+.f64 (*.f64 99229/600000 x) (+.f64 1 (+.f64 (*.f64 -8770954441/144000000000 (pow.f64 x 2)) (*.f64 9146804077445879/259200000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 99229/600000 x 1) (fma.f64 -8770954441/144000000000 (*.f64 x x) (*.f64 (pow.f64 x 3) 9146804077445879/259200000000000000)))
(+.f64 (fma.f64 (pow.f64 x 3) 9146804077445879/259200000000000000 (*.f64 x (*.f64 x -8770954441/144000000000))) (fma.f64 x 99229/600000 1))
(fma.f64 x 99229/600000 (fma.f64 x (*.f64 x -8770954441/144000000000) (fma.f64 (pow.f64 x 3) 9146804077445879/259200000000000000 1)))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x)))))
(pow.f64 (exp.f64 1/6) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000)))
(exp.f64 (fma.f64 1/6 (log.f64 4481/100000) (*.f64 1/3 (log.f64 x))))
(+.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (*.f64 99229/26886 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) x)))
(+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) (*.f64 99229/26886 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) x)))
(fma.f64 99229/26886 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000))) x) (pow.f64 (exp.f64 1/6) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000))))
(fma.f64 99229/26886 (/.f64 (exp.f64 (fma.f64 1/6 (log.f64 4481/100000) (*.f64 1/3 (log.f64 x)))) x) (exp.f64 (fma.f64 1/6 (log.f64 4481/100000) (*.f64 1/3 (log.f64 x)))))
(+.f64 (*.f64 -43854772205/1445713992 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (*.f64 99229/26886 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) x))))
(fma.f64 -43854772205/1445713992 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) (*.f64 x x)) (+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) (*.f64 99229/26886 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) x))))
(fma.f64 -43854772205/1445713992 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000))) (*.f64 x x)) (fma.f64 99229/26886 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000))) x) (pow.f64 (exp.f64 1/6) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000)))))
(fma.f64 (pow.f64 4481/100000 1/6) (exp.f64 (*.f64 1/3 (log.f64 x))) (*.f64 (/.f64 (exp.f64 (fma.f64 1/6 (log.f64 4481/100000) (*.f64 1/3 (log.f64 x)))) x) (+.f64 (/.f64 -43854772205/1445713992 x) 99229/26886)))
(+.f64 (*.f64 -43854772205/1445713992 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))) (+.f64 (*.f64 45734020387229395/116608399166736 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (*.f64 99229/26886 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) x)))))
(fma.f64 -43854772205/1445713992 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) (*.f64 x x)) (fma.f64 45734020387229395/116608399166736 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) (pow.f64 x 3)) (+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) (*.f64 99229/26886 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) x)))))
(fma.f64 -43854772205/1445713992 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000))) (*.f64 x x)) (fma.f64 45734020387229395/116608399166736 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000))) (pow.f64 x 3)) (fma.f64 99229/26886 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000))) x) (pow.f64 (exp.f64 1/6) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000))))))
(fma.f64 45734020387229395/116608399166736 (/.f64 (exp.f64 (fma.f64 1/6 (log.f64 4481/100000) (*.f64 1/3 (log.f64 x)))) (pow.f64 x 3)) (fma.f64 (pow.f64 4481/100000 1/6) (exp.f64 (*.f64 1/3 (log.f64 x))) (*.f64 (/.f64 (exp.f64 (fma.f64 1/6 (log.f64 4481/100000) (*.f64 1/3 (log.f64 x)))) x) (+.f64 (/.f64 -43854772205/1445713992 x) 99229/26886))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000)))
(*.f64 (pow.f64 4481/100000 1/6) (pow.f64 (exp.f64 -1/3) (log.f64 (/.f64 -1 x))))
(+.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (*.f64 99229/26886 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) x)))
(+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (*.f64 99229/26886 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) x)))
(fma.f64 99229/26886 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000))) x) (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000))))
(fma.f64 99229/26886 (/.f64 (*.f64 (pow.f64 4481/100000 1/6) (pow.f64 (exp.f64 -1/3) (log.f64 (/.f64 -1 x)))) x) (*.f64 (pow.f64 4481/100000 1/6) (pow.f64 (exp.f64 -1/3) (log.f64 (/.f64 -1 x)))))
(+.f64 (*.f64 -43854772205/1445713992 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (*.f64 99229/26886 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) x))))
(fma.f64 -43854772205/1445713992 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (*.f64 99229/26886 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) x))))
(fma.f64 -43854772205/1445713992 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000))) (*.f64 x x)) (fma.f64 99229/26886 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000))) x) (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000)))))
(fma.f64 (pow.f64 4481/100000 1/6) (pow.f64 (exp.f64 -1/3) (log.f64 (/.f64 -1 x))) (*.f64 (/.f64 (*.f64 (pow.f64 4481/100000 1/6) (pow.f64 (exp.f64 -1/3) (log.f64 (/.f64 -1 x)))) x) (+.f64 (/.f64 -43854772205/1445713992 x) 99229/26886)))
(+.f64 (*.f64 45734020387229395/116608399166736 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -43854772205/1445713992 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (*.f64 99229/26886 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) x)))))
(fma.f64 45734020387229395/116608399166736 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)) (fma.f64 -43854772205/1445713992 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (*.f64 99229/26886 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) x)))))
(fma.f64 45734020387229395/116608399166736 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000))) (pow.f64 x 3)) (fma.f64 -43854772205/1445713992 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000))) (*.f64 x x)) (fma.f64 99229/26886 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000))) x) (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000))))))
(fma.f64 45734020387229395/116608399166736 (/.f64 (*.f64 (pow.f64 4481/100000 1/6) (pow.f64 (exp.f64 -1/3) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 (pow.f64 4481/100000 1/6) (pow.f64 (exp.f64 -1/3) (log.f64 (/.f64 -1 x))) (*.f64 (/.f64 (*.f64 (pow.f64 4481/100000 1/6) (pow.f64 (exp.f64 -1/3) (log.f64 (/.f64 -1 x)))) x) (+.f64 (/.f64 -43854772205/1445713992 x) 99229/26886))))

eval208.0ms (3.9%)

Compiler

Compiled 8654 to 6947 computations (19.7% saved)

prune1.2s (22.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2271228
Fresh101
Picked101
Done011
Total2292231
Error
0b
Counts
231 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6) (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6)) (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
0.0b
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Compiler

Compiled 97 to 77 computations (20.6% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
14.6b
(sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
14.6b
(/.f64 (fma.f64 x -27061/100000 -230753/100000) (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6) (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6)) (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
25.2b
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6)
1.0ms
x
@-inf
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6)
1.0ms
x
@0
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6)
0.0ms
x
@-inf
(/.f64 (fma.f64 x -27061/100000 -230753/100000) (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6) (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6)) (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
0.0ms
x
@inf
(/.f64 (fma.f64 x -27061/100000 -230753/100000) (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6) (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6)) (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

rewrite65.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
310×log1p-udef_binary64
189×add-sqr-sqrt_binary64
179×add-log-exp_binary64
179×log1p-expm1-u_binary64
179×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01949
140645
2462945
Stop Event
node limit
Counts
2 → 66
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6)
(/.f64 (fma.f64 x -27061/100000 -230753/100000) (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6) (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6)) (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
Outputs
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expm1.f64 (log1p.f64 (/.f64 (/.f64 (fma.f64 x -27061/100000 -230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/6)) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/6))))))))

simplify35.0ms (0.7%)

Algorithm
egg-herbie
Rules
898×fma-def_binary64
644×times-frac_binary64
449×associate-/l*_binary64
431×associate-/r*_binary64
134×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
093688
1243640
2621501
31867426
Stop Event
node limit
Counts
90 → 103
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 99229/240000 x))
(+.f64 1 (+.f64 (*.f64 -58170361087/576000000000 (pow.f64 x 2)) (*.f64 99229/240000 x)))
(+.f64 1 (+.f64 (*.f64 -58170361087/576000000000 (pow.f64 x 2)) (+.f64 (*.f64 99229/240000 x) (*.f64 107537251730536537/2073600000000000000 (pow.f64 x 3)))))
(exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x))))))
(+.f64 (*.f64 496145/53772 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) x)) (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))))
(+.f64 (*.f64 496145/53772 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) x)) (+.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (*.f64 -290851805435/5782855968 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))
(+.f64 (*.f64 496145/53772 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) x)) (+.f64 (*.f64 537686258652682685/932867193333888 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (*.f64 -290851805435/5782855968 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))))
(exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))))
(+.f64 (*.f64 496145/53772 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) x)) (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))))
(+.f64 (*.f64 -290851805435/5782855968 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (*.f64 496145/53772 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) x)) (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))))))
(+.f64 (*.f64 537686258652682685/932867193333888 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -290851805435/5782855968 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (*.f64 496145/53772 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) x)) (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))))))
-230753/100000
(-.f64 (*.f64 20191289437/10000000000 x) 230753/100000)
(-.f64 (+.f64 (*.f64 20191289437/10000000000 x) (*.f64 -1900161040244073/1000000000000000 (pow.f64 x 2))) 230753/100000)
(-.f64 (+.f64 (*.f64 20191289437/10000000000 x) (+.f64 (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3)) (*.f64 -1900161040244073/1000000000000000 (pow.f64 x 2)))) 230753/100000)
(/.f64 -27061/4481 x)
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(/.f64 -27061/4481 x)
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
Outputs
1
(+.f64 1 (*.f64 99229/240000 x))
(fma.f64 99229/240000 x 1)
(+.f64 1 (+.f64 (*.f64 -58170361087/576000000000 (pow.f64 x 2)) (*.f64 99229/240000 x)))
(+.f64 1 (fma.f64 -58170361087/576000000000 (*.f64 x x) (*.f64 99229/240000 x)))
(+.f64 1 (fma.f64 99229/240000 x (*.f64 x (*.f64 x -58170361087/576000000000))))
(fma.f64 99229/240000 x (fma.f64 -58170361087/576000000000 (*.f64 x x) 1))
(fma.f64 x (fma.f64 x -58170361087/576000000000 99229/240000) 1)
(+.f64 1 (+.f64 (*.f64 -58170361087/576000000000 (pow.f64 x 2)) (+.f64 (*.f64 99229/240000 x) (*.f64 107537251730536537/2073600000000000000 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 -58170361087/576000000000 (*.f64 x x) (fma.f64 99229/240000 x (*.f64 107537251730536537/2073600000000000000 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 99229/240000 x (*.f64 (*.f64 x x) (+.f64 -58170361087/576000000000 (*.f64 x 107537251730536537/2073600000000000000)))))
(fma.f64 x (fma.f64 x -58170361087/576000000000 99229/240000) (fma.f64 107537251730536537/2073600000000000000 (pow.f64 x 3) 1))
(exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x)))))
(pow.f64 (exp.f64 5/12) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000)))
(*.f64 (pow.f64 4481/100000 5/12) (pow.f64 (/.f64 1 x) -5/6))
(pow.f64 (*.f64 (*.f64 x x) 4481/100000) 5/12)
(+.f64 (*.f64 496145/53772 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) x)) (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))))
(fma.f64 496145/53772 (/.f64 (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) x) (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))))
(fma.f64 496145/53772 (/.f64 (pow.f64 (exp.f64 5/12) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000))) x) (pow.f64 (exp.f64 5/12) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000))))
(fma.f64 496145/53772 (/.f64 (*.f64 (pow.f64 4481/100000 5/12) (pow.f64 (/.f64 1 x) -5/6)) x) (*.f64 (pow.f64 4481/100000 5/12) (pow.f64 (/.f64 1 x) -5/6)))
(*.f64 (+.f64 (/.f64 496145/53772 x) 1) (pow.f64 (*.f64 (*.f64 x x) 4481/100000) 5/12))
(+.f64 (*.f64 496145/53772 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) x)) (+.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (*.f64 -290851805435/5782855968 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))
(+.f64 (fma.f64 496145/53772 (/.f64 (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) x) (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x)))))) (*.f64 -290851805435/5782855968 (/.f64 (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) (*.f64 x x))))
(fma.f64 496145/53772 (/.f64 (pow.f64 (exp.f64 5/12) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000))) x) (fma.f64 -290851805435/5782855968 (/.f64 (pow.f64 (exp.f64 5/12) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000))) (*.f64 x x)) (pow.f64 (exp.f64 5/12) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000)))))
(fma.f64 (pow.f64 4481/100000 5/12) (pow.f64 (/.f64 1 x) -5/6) (*.f64 (/.f64 (*.f64 (pow.f64 4481/100000 5/12) (pow.f64 (/.f64 1 x) -5/6)) x) (+.f64 (/.f64 -290851805435/5782855968 x) 496145/53772)))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) 4481/100000) 5/12) x) (+.f64 (/.f64 -290851805435/5782855968 x) 496145/53772) (pow.f64 (*.f64 (*.f64 x x) 4481/100000) 5/12))
(+.f64 (*.f64 496145/53772 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) x)) (+.f64 (*.f64 537686258652682685/932867193333888 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (*.f64 -290851805435/5782855968 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))))
(fma.f64 496145/53772 (/.f64 (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) x) (fma.f64 537686258652682685/932867193333888 (/.f64 (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) (pow.f64 x 3)) (+.f64 (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) (*.f64 -290851805435/5782855968 (/.f64 (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) (*.f64 x x))))))
(fma.f64 496145/53772 (/.f64 (pow.f64 (exp.f64 5/12) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000))) x) (fma.f64 537686258652682685/932867193333888 (/.f64 (pow.f64 (exp.f64 5/12) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000))) (pow.f64 x 3)) (fma.f64 -290851805435/5782855968 (/.f64 (pow.f64 (exp.f64 5/12) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000))) (*.f64 x x)) (pow.f64 (exp.f64 5/12) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 4481/100000))))))
(fma.f64 496145/53772 (/.f64 (*.f64 (pow.f64 4481/100000 5/12) (pow.f64 (/.f64 1 x) -5/6)) x) (fma.f64 (pow.f64 4481/100000 5/12) (pow.f64 (/.f64 1 x) -5/6) (*.f64 (*.f64 (/.f64 (pow.f64 4481/100000 5/12) x) (/.f64 (pow.f64 (/.f64 1 x) -5/6) x)) (+.f64 (/.f64 537686258652682685/932867193333888 x) -290851805435/5782855968))))
(+.f64 (pow.f64 (*.f64 (*.f64 x x) 4481/100000) 5/12) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) 4481/100000) 5/12) x) (+.f64 (/.f64 537686258652682685/932867193333888 (*.f64 x x)) (+.f64 496145/53772 (/.f64 -290851805435/5782855968 x)))))
(exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 5/12) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000)))
(*.f64 (pow.f64 4481/100000 5/12) (pow.f64 (/.f64 -1 x) -5/6))
(+.f64 (*.f64 496145/53772 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) x)) (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))))
(fma.f64 496145/53772 (/.f64 (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) x) (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))))
(fma.f64 496145/53772 (/.f64 (pow.f64 (exp.f64 5/12) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000))) x) (pow.f64 (exp.f64 5/12) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000))))
(fma.f64 496145/53772 (/.f64 (pow.f64 4481/100000 5/12) (/.f64 x (pow.f64 (/.f64 -1 x) -5/6))) (*.f64 (pow.f64 4481/100000 5/12) (pow.f64 (/.f64 -1 x) -5/6)))
(*.f64 (+.f64 (/.f64 496145/53772 x) 1) (*.f64 (pow.f64 4481/100000 5/12) (pow.f64 (/.f64 -1 x) -5/6)))
(+.f64 (*.f64 -290851805435/5782855968 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (*.f64 496145/53772 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) x)) (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))))))
(fma.f64 -290851805435/5782855968 (/.f64 (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (fma.f64 496145/53772 (/.f64 (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) x) (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))))
(fma.f64 -290851805435/5782855968 (/.f64 (pow.f64 (exp.f64 5/12) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000))) (*.f64 x x)) (fma.f64 496145/53772 (/.f64 (pow.f64 (exp.f64 5/12) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000))) x) (pow.f64 (exp.f64 5/12) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000)))))
(fma.f64 (pow.f64 4481/100000 5/12) (pow.f64 (/.f64 -1 x) -5/6) (*.f64 (/.f64 (pow.f64 4481/100000 5/12) (/.f64 x (pow.f64 (/.f64 -1 x) -5/6))) (+.f64 (/.f64 -290851805435/5782855968 x) 496145/53772)))
(fma.f64 (*.f64 (/.f64 (pow.f64 4481/100000 5/12) x) (pow.f64 (/.f64 -1 x) -5/6)) (+.f64 (/.f64 -290851805435/5782855968 x) 496145/53772) (*.f64 (pow.f64 4481/100000 5/12) (pow.f64 (/.f64 -1 x) -5/6)))
(+.f64 (*.f64 537686258652682685/932867193333888 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -290851805435/5782855968 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (*.f64 496145/53772 (/.f64 (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) x)) (exp.f64 (*.f64 5/12 (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))))))
(fma.f64 537686258652682685/932867193333888 (/.f64 (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)) (fma.f64 -290851805435/5782855968 (/.f64 (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (fma.f64 496145/53772 (/.f64 (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) x) (pow.f64 (exp.f64 5/12) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))))))
(fma.f64 537686258652682685/932867193333888 (/.f64 (pow.f64 (exp.f64 5/12) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000))) (pow.f64 x 3)) (fma.f64 -290851805435/5782855968 (/.f64 (pow.f64 (exp.f64 5/12) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000))) (*.f64 x x)) (fma.f64 496145/53772 (/.f64 (pow.f64 (exp.f64 5/12) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000))) x) (pow.f64 (exp.f64 5/12) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 4481/100000))))))
(fma.f64 537686258652682685/932867193333888 (/.f64 (pow.f64 4481/100000 5/12) (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 x) -5/6))) (fma.f64 (pow.f64 4481/100000 5/12) (pow.f64 (/.f64 -1 x) -5/6) (*.f64 (/.f64 (pow.f64 4481/100000 5/12) (/.f64 x (pow.f64 (/.f64 -1 x) -5/6))) (+.f64 (/.f64 -290851805435/5782855968 x) 496145/53772))))
(fma.f64 (pow.f64 4481/100000 5/12) (pow.f64 (/.f64 -1 x) -5/6) (*.f64 (*.f64 (/.f64 (pow.f64 4481/100000 5/12) x) (pow.f64 (/.f64 -1 x) -5/6)) (+.f64 496145/53772 (+.f64 (/.f64 537686258652682685/932867193333888 (*.f64 x x)) (/.f64 -290851805435/5782855968 x)))))
-230753/100000
(-.f64 (*.f64 20191289437/10000000000 x) 230753/100000)
(fma.f64 20191289437/10000000000 x -230753/100000)
(fma.f64 x 20191289437/10000000000 -230753/100000)
(-.f64 (+.f64 (*.f64 20191289437/10000000000 x) (*.f64 -1900161040244073/1000000000000000 (pow.f64 x 2))) 230753/100000)
(+.f64 (fma.f64 20191289437/10000000000 x (*.f64 (*.f64 x x) -1900161040244073/1000000000000000)) -230753/100000)
(fma.f64 x 20191289437/10000000000 (fma.f64 (*.f64 x x) -1900161040244073/1000000000000000 -230753/100000))
(fma.f64 x 20191289437/10000000000 (fma.f64 x (*.f64 x -1900161040244073/1000000000000000) -230753/100000))
(fma.f64 x (fma.f64 x -1900161040244073/1000000000000000 20191289437/10000000000) -230753/100000)
(-.f64 (+.f64 (*.f64 20191289437/10000000000 x) (+.f64 (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3)) (*.f64 -1900161040244073/1000000000000000 (pow.f64 x 2)))) 230753/100000)
(+.f64 (fma.f64 20191289437/10000000000 x (fma.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3) (*.f64 (*.f64 x x) -1900161040244073/1000000000000000))) -230753/100000)
(+.f64 (fma.f64 (*.f64 x x) -1900161040244073/1000000000000000 (*.f64 (pow.f64 x 3) 179503363065659419717/100000000000000000000)) (fma.f64 x 20191289437/10000000000 -230753/100000))
(fma.f64 x 20191289437/10000000000 (fma.f64 x (*.f64 x -1900161040244073/1000000000000000) (fma.f64 (pow.f64 x 3) 179503363065659419717/100000000000000000000 -230753/100000)))
(fma.f64 (*.f64 x x) (fma.f64 x 179503363065659419717/100000000000000000000 -1900161040244073/1000000000000000) (fma.f64 x 20191289437/10000000000 -230753/100000))
(/.f64 -27061/4481 x)
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 27061/4481 x))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 -27061/4481 x))
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(-.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 -27061/4481 x))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 -27061/4481 x) (/.f64 -151724043800704/89975616641 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (-.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))))
(+.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 -27061/4481 x) (/.f64 -151724043800704/89975616641 (pow.f64 x 3)))))
(+.f64 (/.f64 -27061/4481 x) (+.f64 (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 -151724043800704/89975616641 (pow.f64 x 3))))
(/.f64 -27061/4481 x)
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 27061/4481 x))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 -27061/4481 x))
(-.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(-.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 -27061/4481 x))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 -27061/4481 x) (/.f64 -151724043800704/89975616641 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))))
(+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (-.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))))
(+.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 -27061/4481 x) (/.f64 -151724043800704/89975616641 (pow.f64 x 3)))))
(+.f64 (/.f64 -27061/4481 x) (+.f64 (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 -151724043800704/89975616641 (pow.f64 x 3))))

eval306.0ms (5.7%)

Compiler

Compiled 10765 to 8728 computations (18.9% saved)

prune1.2s (21.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2440244
Fresh000
Picked011
Done011
Total2442246
Error
0b
Counts
246 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6) (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6)) (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
0.0b
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes12.0ms (0.2%)

Accuracy

Total -0.0b remaining (-437.7%)

Threshold costs -0.0b (-437.7%)

Counts
5 → 1
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6) (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 5/2) 1/6)) (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
(+.f64 x (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x -27061/100000 -230753/100000))) 2) -1) (cbrt.f64 (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
Outputs
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Results
TimeErrorSegmentsBranch
4.0ms0.0b1x
4.0ms0.0b1(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
Compiler

Compiled 162 to 126 computations (22.2% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01219
11519
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Outputs
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

end18.0ms (0.3%)

Stop Event
done
Compiler

Compiled 30 to 22 computations (26.7% saved)

Profiling

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