Details

Time bar (total: 6.4s)

analyze26.0ms (0.4%)

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)

sample1.8s (28.3%)

Results
1.8s8256×body128valid
Compiler

Compiled 38 to 30 computations (21.1% saved)

preprocess91.0ms (1.4%)

Algorithm
egg-herbie
Rules
1014×fma-neg_binary64
643×fma-def_binary64
397×div-sub_binary64
297×cancel-sign-sub-inv_binary64
168×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01525
13119
25619
37919
49419
511319
615919
724919
841419
966519
10152919
11353819
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Outputs
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify66.0ms (1%)

Algorithm
egg-herbie
Rules
1014×fma-neg_binary64
643×fma-def_binary64
397×div-sub_binary64
297×cancel-sign-sub-inv_binary64
168×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01525
13119
25619
37919
49419
511319
615919
724919
841419
966519
10152919
11353819
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Outputs
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
(-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 62 to 46 computations (25.8% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(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)
12.9b
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series25.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
x
@0
(fma.f64 x 4481/100000 99229/100000)
2.0ms
x
@-inf
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
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
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)

rewrite159.0ms (2.5%)

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
2250435
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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simplify70.0ms (1.1%)

Algorithm
egg-herbie
Rules
934×fma-neg_binary64
739×cancel-sign-sub-inv_binary64
417×times-frac_binary64
305×fma-def_binary64
185×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051459
1131417
2314389
3855369
42767369
Stop Event
node limit
Counts
213 → 197
Calls
Call 1
Inputs
230753/100000
(-.f64 230753/100000 (*.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (*.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (+.f64 (*.f64 20191289437/10000000000 x) (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
230753/100000
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(*.f64 27061/100000 x)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(*.f64 27061/100000 x)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
99229/100000
(+.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))
(*.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 1 (*.f64 99229/100000 x))
(+.f64 1 (+.f64 (*.f64 4481/100000 (pow.f64 x 2)) (*.f64 99229/100000 x)))
(+.f64 1 (+.f64 (*.f64 4481/100000 (pow.f64 x 2)) (*.f64 99229/100000 x)))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (*.f64 4481/100000 (pow.f64 x 2)) (*.f64 99229/100000 x))
(+.f64 1 (+.f64 (*.f64 4481/100000 (pow.f64 x 2)) (*.f64 99229/100000 x)))
(+.f64 1 (+.f64 (*.f64 4481/100000 (pow.f64 x 2)) (*.f64 99229/100000 x)))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (*.f64 4481/100000 (pow.f64 x 2)) (*.f64 99229/100000 x))
(+.f64 1 (+.f64 (*.f64 4481/100000 (pow.f64 x 2)) (*.f64 99229/100000 x)))
(+.f64 1 (+.f64 (*.f64 4481/100000 (pow.f64 x 2)) (*.f64 99229/100000 x)))
Outputs
230753/100000
(-.f64 230753/100000 (*.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -20191289437/10000000000))
(fma.f64 x -20191289437/10000000000 230753/100000)
(-.f64 (+.f64 230753/100000 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (*.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (-.f64 (*.f64 1900161040244073/1000000000000000 (*.f64 x x)) (*.f64 20191289437/10000000000 x)))
(+.f64 230753/100000 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (*.f64 x -20191289437/10000000000)))
(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 230753/100000 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (+.f64 (*.f64 20191289437/10000000000 x) (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(-.f64 (+.f64 230753/100000 (*.f64 1900161040244073/1000000000000000 (*.f64 x x))) (fma.f64 20191289437/10000000000 x (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(-.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000) (fma.f64 20191289437/10000000000 x (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 x (*.f64 x 1900161040244073/1000000000000000) 230753/100000) (fma.f64 x -20191289437/10000000000 (*.f64 (pow.f64 x 3) -179503363065659419717/100000000000000000000)))
(fma.f64 (pow.f64 x 3) -179503363065659419717/100000000000000000000 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (-.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (-.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (-.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (-.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))))
230753/100000
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
99229/100000
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
1
(+.f64 1 (*.f64 99229/100000 x))
(+.f64 1 (*.f64 x 99229/100000))
(fma.f64 x 99229/100000 1)
(+.f64 1 (+.f64 (*.f64 4481/100000 (pow.f64 x 2)) (*.f64 99229/100000 x)))
(+.f64 1 (fma.f64 4481/100000 (*.f64 x x) (*.f64 x 99229/100000)))
(+.f64 1 (fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000))))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(+.f64 1 (+.f64 (*.f64 4481/100000 (pow.f64 x 2)) (*.f64 99229/100000 x)))
(+.f64 1 (fma.f64 4481/100000 (*.f64 x x) (*.f64 x 99229/100000)))
(+.f64 1 (fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000))))
(+.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 4481/100000 (pow.f64 x 2)) (*.f64 99229/100000 x))
(fma.f64 4481/100000 (*.f64 x x) (*.f64 x 99229/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 1 (+.f64 (*.f64 4481/100000 (pow.f64 x 2)) (*.f64 99229/100000 x)))
(+.f64 1 (fma.f64 4481/100000 (*.f64 x x) (*.f64 x 99229/100000)))
(+.f64 1 (fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000))))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(+.f64 1 (+.f64 (*.f64 4481/100000 (pow.f64 x 2)) (*.f64 99229/100000 x)))
(+.f64 1 (fma.f64 4481/100000 (*.f64 x x) (*.f64 x 99229/100000)))
(+.f64 1 (fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000))))
(+.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 4481/100000 (pow.f64 x 2)) (*.f64 99229/100000 x))
(fma.f64 4481/100000 (*.f64 x x) (*.f64 x 99229/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 1 (+.f64 (*.f64 4481/100000 (pow.f64 x 2)) (*.f64 99229/100000 x)))
(+.f64 1 (fma.f64 4481/100000 (*.f64 x x) (*.f64 x 99229/100000)))
(+.f64 1 (fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000))))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(+.f64 1 (+.f64 (*.f64 4481/100000 (pow.f64 x 2)) (*.f64 99229/100000 x)))
(+.f64 1 (fma.f64 4481/100000 (*.f64 x x) (*.f64 x 99229/100000)))
(+.f64 1 (fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000))))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)

prune536.0ms (8.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1943197
Fresh000
Picked101
Done000
Total1953198
Error
0b
Counts
198 → 3
Alt Table
StatusErrorProgram
0.0b
(-.f64 (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) x)
0.0b
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) x)
0.6b
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 3) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)
Compiler

Compiled 4315 to 3357 computations (22.2% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
0.2b
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
0.2b
(fma.f64 x 27061/100000 230753/100000)
12.8b
(sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series25.0ms (0.4%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
4.0ms
x
@inf
(/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
4.0ms
x
@0
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
3.0ms
x
@-inf
(sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
3.0ms
x
@inf
(sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

rewrite122.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
592×log-prod_binary64
236×expm1-udef_binary64
236×log1p-udef_binary64
193×log-pow_binary64
138×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01441
129339
2346339
Stop Event
node limit
Counts
3 → 111
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
(/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)))))))

simplify67.0ms (1%)

Algorithm
egg-herbie
Rules
377×fma-def_binary64
369×associate-/r*_binary64
263×associate--l+_binary64
262×associate--r+_binary64
220×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0137895
1422859
21410829
Stop Event
node limit
Counts
147 → 169
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 99229/200000 x))
(-.f64 (+.f64 1 (*.f64 99229/200000 x)) (*.f64 8053994441/80000000000 (pow.f64 x 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 99229/200000 x) (*.f64 799189814385989/16000000000000000 (pow.f64 x 3)))) (*.f64 8053994441/80000000000 (pow.f64 x 2)))
(*.f64 (sqrt.f64 4481/100000) x)
(+.f64 (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))) (*.f64 (sqrt.f64 4481/100000) x))
(-.f64 (+.f64 (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))) (+.f64 (*.f64 (sqrt.f64 4481/100000) x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 4481/100000) x))))) (*.f64 9846394441/80000000000 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 4481/100000) 3) x))))
(-.f64 (+.f64 (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))) (+.f64 (*.f64 977047873985989/16000000000000000 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 4481/100000) 5) (pow.f64 x 2)))) (+.f64 (*.f64 (sqrt.f64 4481/100000) x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 4481/100000) x)))))) (+.f64 (*.f64 99229/400000 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 4481/100000) 3) (pow.f64 x 2)))) (*.f64 9846394441/80000000000 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 4481/100000) 3) x)))))
(*.f64 -1 (*.f64 (sqrt.f64 4481/100000) x))
(neg.f64 (+.f64 (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))) (*.f64 (sqrt.f64 4481/100000) x)))
(-.f64 (*.f64 9846394441/80000000000 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 4481/100000) 3) x))) (+.f64 (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))) (+.f64 (*.f64 (sqrt.f64 4481/100000) x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 4481/100000) x))))))
(-.f64 (+.f64 (*.f64 99229/400000 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 4481/100000) 3) (pow.f64 x 2)))) (*.f64 9846394441/80000000000 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 4481/100000) 3) x)))) (+.f64 (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))) (+.f64 (*.f64 977047873985989/16000000000000000 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 4481/100000) 5) (pow.f64 x 2)))) (+.f64 (*.f64 (sqrt.f64 4481/100000) x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 4481/100000) x)))))))
230753/100000
(-.f64 230753/100000 (*.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (*.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (+.f64 (*.f64 20191289437/10000000000 x) (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
1
(-.f64 1 (*.f64 99229/200000 x))
(-.f64 (+.f64 1 (*.f64 27746783323/80000000000 (pow.f64 x 2))) (*.f64 99229/200000 x))
(-.f64 (+.f64 1 (*.f64 27746783323/80000000000 (pow.f64 x 2))) (+.f64 (*.f64 99229/200000 x) (*.f64 870333038225989/3200000000000000 (pow.f64 x 3))))
(/.f64 (sqrt.f64 100000/4481) x)
(-.f64 (/.f64 (sqrt.f64 100000/4481) x) (*.f64 4961450000/20079361 (/.f64 1 (*.f64 (sqrt.f64 100000/4481) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 100000/4481) x) (*.f64 469914722050000/89975616641 (/.f64 1 (*.f64 (sqrt.f64 100000/4481) (pow.f64 x 3))))) (+.f64 (*.f64 4961450000/20079361 (/.f64 1 (*.f64 (sqrt.f64 100000/4481) (pow.f64 x 2)))) (*.f64 12307993051250000000/403180738168321 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 100000/4481) 3) (pow.f64 x 3))))))
(-.f64 (+.f64 (*.f64 2331458397714972500000000/1806652887732246401 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 100000/4481) 3) (pow.f64 x 4)))) (+.f64 (/.f64 (sqrt.f64 100000/4481) x) (*.f64 469914722050000/89975616641 (/.f64 1 (*.f64 (sqrt.f64 100000/4481) (pow.f64 x 3)))))) (+.f64 (*.f64 44405942209299450000/403180738168321 (/.f64 1 (*.f64 (sqrt.f64 100000/4481) (pow.f64 x 4)))) (+.f64 (*.f64 4961450000/20079361 (/.f64 1 (*.f64 (sqrt.f64 100000/4481) (pow.f64 x 2)))) (+.f64 (*.f64 61065492124124312500000000000/8095611589928196122881 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 100000/4481) 5) (pow.f64 x 4)))) (*.f64 12307993051250000000/403180738168321 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 100000/4481) 3) (pow.f64 x 3))))))))
(*.f64 -1 (/.f64 (sqrt.f64 100000/4481) x))
(-.f64 (*.f64 4961450000/20079361 (/.f64 1 (*.f64 (sqrt.f64 100000/4481) (pow.f64 x 2)))) (/.f64 (sqrt.f64 100000/4481) x))
(-.f64 (+.f64 (*.f64 4961450000/20079361 (/.f64 1 (*.f64 (sqrt.f64 100000/4481) (pow.f64 x 2)))) (*.f64 12307993051250000000/403180738168321 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 100000/4481) 3) (pow.f64 x 3))))) (+.f64 (/.f64 (sqrt.f64 100000/4481) x) (*.f64 469914722050000/89975616641 (/.f64 1 (*.f64 (sqrt.f64 100000/4481) (pow.f64 x 3))))))
(-.f64 (+.f64 (*.f64 44405942209299450000/403180738168321 (/.f64 1 (*.f64 (sqrt.f64 100000/4481) (pow.f64 x 4)))) (+.f64 (*.f64 4961450000/20079361 (/.f64 1 (*.f64 (sqrt.f64 100000/4481) (pow.f64 x 2)))) (+.f64 (*.f64 61065492124124312500000000000/8095611589928196122881 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 100000/4481) 5) (pow.f64 x 4)))) (*.f64 12307993051250000000/403180738168321 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 100000/4481) 3) (pow.f64 x 3))))))) (+.f64 (*.f64 2331458397714972500000000/1806652887732246401 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 100000/4481) 3) (pow.f64 x 4)))) (+.f64 (/.f64 (sqrt.f64 100000/4481) x) (*.f64 469914722050000/89975616641 (/.f64 1 (*.f64 (sqrt.f64 100000/4481) (pow.f64 x 3)))))))
Outputs
1
(+.f64 1 (*.f64 99229/200000 x))
(fma.f64 99229/200000 x 1)
(-.f64 (+.f64 1 (*.f64 99229/200000 x)) (*.f64 8053994441/80000000000 (pow.f64 x 2)))
(+.f64 1 (-.f64 (*.f64 99229/200000 x) (*.f64 8053994441/80000000000 (*.f64 x x))))
(+.f64 (fma.f64 99229/200000 x 1) (*.f64 (*.f64 x x) -8053994441/80000000000))
(fma.f64 (*.f64 x x) -8053994441/80000000000 (fma.f64 99229/200000 x 1))
(-.f64 (+.f64 1 (+.f64 (*.f64 99229/200000 x) (*.f64 799189814385989/16000000000000000 (pow.f64 x 3)))) (*.f64 8053994441/80000000000 (pow.f64 x 2)))
(+.f64 1 (-.f64 (fma.f64 99229/200000 x (*.f64 799189814385989/16000000000000000 (pow.f64 x 3))) (*.f64 8053994441/80000000000 (*.f64 x x))))
(+.f64 (fma.f64 99229/200000 x 1) (-.f64 (*.f64 799189814385989/16000000000000000 (pow.f64 x 3)) (*.f64 x (*.f64 x 8053994441/80000000000))))
(fma.f64 (*.f64 x x) -8053994441/80000000000 (fma.f64 99229/200000 x (fma.f64 799189814385989/16000000000000000 (pow.f64 x 3) 1)))
(*.f64 (sqrt.f64 4481/100000) x)
(*.f64 x (sqrt.f64 4481/100000))
(+.f64 (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))) (*.f64 (sqrt.f64 4481/100000) x))
(+.f64 (*.f64 x (sqrt.f64 4481/100000)) (/.f64 99229/200000 (sqrt.f64 4481/100000)))
(fma.f64 x (sqrt.f64 4481/100000) (/.f64 99229/200000 (sqrt.f64 4481/100000)))
(-.f64 (+.f64 (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))) (+.f64 (*.f64 (sqrt.f64 4481/100000) x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 4481/100000) x))))) (*.f64 9846394441/80000000000 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 4481/100000) 3) x))))
(+.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) (-.f64 (fma.f64 (sqrt.f64 4481/100000) x (/.f64 1/2 (*.f64 x (sqrt.f64 4481/100000)))) (/.f64 9846394441/80000000000 (*.f64 x (pow.f64 (sqrt.f64 4481/100000) 3)))))
(+.f64 (fma.f64 x (sqrt.f64 4481/100000) (/.f64 99229/200000 (sqrt.f64 4481/100000))) (+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 4481/100000)) (/.f64 -9846394441/80000000000 (*.f64 x (*.f64 (sqrt.f64 4481/100000) 4481/100000)))))
(-.f64 (fma.f64 x (sqrt.f64 4481/100000) (/.f64 (/.f64 1/2 x) (sqrt.f64 4481/100000))) (+.f64 (/.f64 9846394441/3584800000 (*.f64 x (sqrt.f64 4481/100000))) (/.f64 -99229/200000 (sqrt.f64 4481/100000))))
(-.f64 (+.f64 (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))) (+.f64 (*.f64 977047873985989/16000000000000000 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 4481/100000) 5) (pow.f64 x 2)))) (+.f64 (*.f64 (sqrt.f64 4481/100000) x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 4481/100000) x)))))) (+.f64 (*.f64 99229/400000 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 4481/100000) 3) (pow.f64 x 2)))) (*.f64 9846394441/80000000000 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 4481/100000) 3) x)))))
(+.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) (-.f64 (+.f64 (fma.f64 (sqrt.f64 4481/100000) x (/.f64 1/2 (*.f64 x (sqrt.f64 4481/100000)))) (/.f64 977047873985989/16000000000000000 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 4481/100000) 5)))) (+.f64 (/.f64 9846394441/80000000000 (*.f64 x (pow.f64 (sqrt.f64 4481/100000) 3))) (/.f64 99229/400000 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 4481/100000) 3))))))
(+.f64 (+.f64 (fma.f64 x (sqrt.f64 4481/100000) (/.f64 (/.f64 1/2 x) (sqrt.f64 4481/100000))) (/.f64 977047873985989/16000000000000000 (*.f64 x (*.f64 x (pow.f64 (sqrt.f64 4481/100000) 5))))) (-.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) (fma.f64 99229/400000 (/.f64 (/.f64 100000/4481 (sqrt.f64 4481/100000)) (*.f64 x x)) (/.f64 9846394441/80000000000 (*.f64 x (*.f64 (sqrt.f64 4481/100000) 4481/100000))))))
(+.f64 (/.f64 977047873985989/16000000000000000 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 4481/100000) 5))) (+.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) (-.f64 (+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 4481/100000)) (fma.f64 x (sqrt.f64 4481/100000) (/.f64 (/.f64 -9846394441/3584800000 (sqrt.f64 4481/100000)) x))) (/.f64 (/.f64 99229/17924 (sqrt.f64 4481/100000)) (*.f64 x x)))))
(*.f64 -1 (*.f64 (sqrt.f64 4481/100000) x))
(neg.f64 (*.f64 x (sqrt.f64 4481/100000)))
(*.f64 x (neg.f64 (sqrt.f64 4481/100000)))
(neg.f64 (+.f64 (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))) (*.f64 (sqrt.f64 4481/100000) x)))
(neg.f64 (+.f64 (*.f64 x (sqrt.f64 4481/100000)) (/.f64 99229/200000 (sqrt.f64 4481/100000))))
(-.f64 (/.f64 -99229/200000 (sqrt.f64 4481/100000)) (*.f64 x (sqrt.f64 4481/100000)))
(-.f64 (*.f64 9846394441/80000000000 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 4481/100000) 3) x))) (+.f64 (*.f64 99229/200000 (/.f64 1 (sqrt.f64 4481/100000))) (+.f64 (*.f64 (sqrt.f64 4481/100000) x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 4481/100000) x))))))
(-.f64 (/.f64 9846394441/80000000000 (*.f64 x (pow.f64 (sqrt.f64 4481/100000) 3))) (+.f64 (/.f64 99229/200000 (sqrt.f64 4481/100000)) (fma.f64 (sqrt.f64 4481/100000) x (/.f64 1/2 (*.f64 x (sqrt.f64 4481/100000))))))
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230753/100000
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1
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(*.f64 -1 (/.f64 (sqrt.f64 100000/4481) x))
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prune848.0ms (13.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2602262
Fresh202
Picked101
Done000
Total2632265
Error
0b
Counts
265 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) x)
0.6b
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))) x)
Compiler

Compiled 8171 to 6488 computations (20.6% saved)

localize37.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
0.2b
(fma.f64 x 27061/100000 230753/100000)
12.8b
(sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
12.9b
(pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)

series29.0ms (0.5%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
13.0ms
x
@inf
(*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
8.0ms
x
@-inf
(pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)
3.0ms
x
@inf
(pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)
2.0ms
x
@-inf
(*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
1.0ms
x
@0
(pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)

rewrite142.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
599×log-prod_binary64
252×expm1-udef_binary64
252×log1p-udef_binary64
203×log-pow_binary64
149×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01544
131431
2354931
Stop Event
node limit
Counts
2 → 52
Calls
Call 1
Inputs
(pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)
(*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)) (cbrt.f64 (pow.f64 (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 (fma.f64 x 4481/100000 99229/100000) 1) -1)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/4) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/4)) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1)))) (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (neg.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/4)) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 x 27061/100000 230753/100000)) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)) (neg.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (neg.f64 (fma.f64 x 27061/100000 230753/100000))) (neg.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) 3) (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3) (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1))))))))

simplify73.0ms (1.1%)

Algorithm
egg-herbie
Rules
589×cancel-sign-sub-inv_binary64
531×times-frac_binary64
415×fma-neg_binary64
222×sub-neg_binary64
207×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090706
1255678
2705546
32312445
Stop Event
node limit
Counts
76 → 89
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 99229/200000 x))
(-.f64 (+.f64 1 (*.f64 27746783323/80000000000 (pow.f64 x 2))) (*.f64 99229/200000 x))
(-.f64 (+.f64 1 (*.f64 27746783323/80000000000 (pow.f64 x 2))) (+.f64 (*.f64 99229/200000 x) (*.f64 870333038225989/3200000000000000 (pow.f64 x 3))))
(exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x))))))
(-.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x)))))) (*.f64 99229/8962 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x)))))) x)))
(-.f64 (+.f64 (*.f64 27746783323/160634888 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))) (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x))))))) (*.f64 99229/8962 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x)))))) x)))
(-.f64 (+.f64 (*.f64 27746783323/160634888 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))) (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 4351665191129945/1439609866256 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 3))) (*.f64 99229/8962 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x)))))) x))))
(exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x))))))
(-.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (*.f64 99229/8962 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x)))))) x)))
(-.f64 (+.f64 (*.f64 27746783323/160634888 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x))))))) (*.f64 99229/8962 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x)))))) x)))
(-.f64 (+.f64 (*.f64 27746783323/160634888 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x))))))) (+.f64 (*.f64 99229/8962 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x)))))) x)) (*.f64 4351665191129945/1439609866256 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3)))))
230753/100000
(-.f64 230753/100000 (*.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (*.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (+.f64 (*.f64 20191289437/10000000000 x) (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
Outputs
1
(-.f64 1 (*.f64 99229/200000 x))
(+.f64 1 (*.f64 -99229/200000 x))
(fma.f64 x -99229/200000 1)
(-.f64 (+.f64 1 (*.f64 27746783323/80000000000 (pow.f64 x 2))) (*.f64 99229/200000 x))
(+.f64 1 (-.f64 (*.f64 27746783323/80000000000 (*.f64 x x)) (*.f64 99229/200000 x)))
(+.f64 1 (fma.f64 27746783323/80000000000 (*.f64 x x) (*.f64 x -99229/200000)))
(fma.f64 x -99229/200000 (fma.f64 x (*.f64 x 27746783323/80000000000) 1))
(+.f64 1 (*.f64 x (fma.f64 x 27746783323/80000000000 -99229/200000)))
(-.f64 (+.f64 1 (*.f64 27746783323/80000000000 (pow.f64 x 2))) (+.f64 (*.f64 99229/200000 x) (*.f64 870333038225989/3200000000000000 (pow.f64 x 3))))
(-.f64 (+.f64 1 (*.f64 27746783323/80000000000 (*.f64 x x))) (fma.f64 99229/200000 x (*.f64 870333038225989/3200000000000000 (pow.f64 x 3))))
(-.f64 (fma.f64 27746783323/80000000000 (*.f64 x x) 1) (fma.f64 99229/200000 x (*.f64 870333038225989/3200000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 x -99229/200000 (fma.f64 x (*.f64 x 27746783323/80000000000) 1)) (*.f64 (pow.f64 x 3) -870333038225989/3200000000000000))
(-.f64 (*.f64 x (fma.f64 x 27746783323/80000000000 -99229/200000)) (fma.f64 870333038225989/3200000000000000 (pow.f64 x 3) -1))
(exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 (log.f64 x) 2)))
(exp.f64 (fma.f64 -1/2 (log.f64 4481/100000) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 x) (pow.f64 4481/100000 -1/2))
(-.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x)))))) (*.f64 99229/8962 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x)))))) x)))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) (*.f64 -99229/8962 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) x)))
(-.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 (log.f64 x) 2))) (*.f64 99229/8962 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 (log.f64 x) 2))) x)))
(fma.f64 (/.f64 (exp.f64 (fma.f64 -1/2 (log.f64 4481/100000) (neg.f64 (log.f64 x)))) x) -99229/8962 (exp.f64 (fma.f64 -1/2 (log.f64 4481/100000) (neg.f64 (log.f64 x)))))
(fma.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 4481/100000 -1/2)) x) -99229/8962 (*.f64 (/.f64 1 x) (pow.f64 4481/100000 -1/2)))
(-.f64 (+.f64 (*.f64 27746783323/160634888 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))) (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x))))))) (*.f64 99229/8962 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x)))))) x)))
(+.f64 (fma.f64 27746783323/160634888 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x)))))) (*.f64 -99229/8962 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) x)))
(fma.f64 27746783323/160634888 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 (log.f64 x) 2))) (*.f64 x x)) (-.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 (log.f64 x) 2))) (*.f64 99229/8962 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 (log.f64 x) 2))) x))))
(+.f64 (exp.f64 (fma.f64 -1/2 (log.f64 4481/100000) (neg.f64 (log.f64 x)))) (*.f64 (/.f64 (exp.f64 (fma.f64 -1/2 (log.f64 4481/100000) (neg.f64 (log.f64 x)))) x) (-.f64 (/.f64 27746783323/160634888 x) 99229/8962)))
(+.f64 (*.f64 (/.f64 1 x) (pow.f64 4481/100000 -1/2)) (*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 4481/100000 -1/2)) x) (+.f64 (/.f64 27746783323/160634888 x) -99229/8962)))
(-.f64 (+.f64 (*.f64 27746783323/160634888 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))) (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 4351665191129945/1439609866256 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 3))) (*.f64 99229/8962 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 1 x)))))) x))))
(-.f64 (fma.f64 27746783323/160634888 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x)))))) (fma.f64 4351665191129945/1439609866256 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) (pow.f64 x 3)) (*.f64 99229/8962 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (neg.f64 (log.f64 x))))) x))))
(-.f64 (fma.f64 27746783323/160634888 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 (log.f64 x) 2))) (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 (log.f64 x) 2)))) (fma.f64 99229/8962 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 (log.f64 x) 2))) x) (*.f64 4351665191129945/1439609866256 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 (log.f64 x) 2))) (pow.f64 x 3)))))
(+.f64 (fma.f64 (/.f64 (exp.f64 (fma.f64 -1/2 (log.f64 4481/100000) (neg.f64 (log.f64 x)))) x) -99229/8962 (exp.f64 (fma.f64 -1/2 (log.f64 4481/100000) (neg.f64 (log.f64 x))))) (*.f64 (/.f64 (exp.f64 (fma.f64 -1/2 (log.f64 4481/100000) (neg.f64 (log.f64 x)))) (*.f64 x x)) (-.f64 27746783323/160634888 (/.f64 4351665191129945/1439609866256 x))))
(+.f64 (*.f64 (/.f64 1 x) (pow.f64 4481/100000 -1/2)) (*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 4481/100000 -1/2)) x) (-.f64 (/.f64 27746783323/160634888 x) (+.f64 99229/8962 (/.f64 4351665191129945/1439609866256 (*.f64 x x))))))
(exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 -1/2) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 4481/100000)))
(*.f64 (pow.f64 4481/100000 -1/2) (pow.f64 (/.f64 -1 x) 1))
(-.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (*.f64 99229/8962 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x)))))) x)))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (*.f64 -99229/8962 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) x)))
(-.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x))))) (*.f64 99229/8962 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x))))) x)))
(fma.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 4481/100000))) x) -99229/8962 (pow.f64 (exp.f64 -1/2) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 4481/100000))))
(fma.f64 (/.f64 (*.f64 (pow.f64 4481/100000 -1/2) (pow.f64 (/.f64 -1 x) 1)) x) -99229/8962 (*.f64 (pow.f64 4481/100000 -1/2) (pow.f64 (/.f64 -1 x) 1)))
(-.f64 (+.f64 (*.f64 27746783323/160634888 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x))))))) (*.f64 99229/8962 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x)))))) x)))
(+.f64 (fma.f64 27746783323/160634888 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (*.f64 -99229/8962 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) x)))
(+.f64 (fma.f64 27746783323/160634888 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x))))) x) -99229/8962))
(+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 4481/100000))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 4481/100000))) x) (-.f64 (/.f64 27746783323/160634888 x) 99229/8962)))
(+.f64 (*.f64 (pow.f64 4481/100000 -1/2) (pow.f64 (/.f64 -1 x) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 4481/100000 -1/2) (pow.f64 (/.f64 -1 x) 1)) x) (+.f64 (/.f64 27746783323/160634888 x) -99229/8962)))
(-.f64 (+.f64 (*.f64 27746783323/160634888 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x))))))) (+.f64 (*.f64 99229/8962 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x)))))) x)) (*.f64 4351665191129945/1439609866256 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3)))))
(-.f64 (fma.f64 27746783323/160634888 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x)))))) (fma.f64 99229/8962 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) x) (*.f64 4351665191129945/1439609866256 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 4481/100000) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(-.f64 (fma.f64 27746783323/160634888 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (fma.f64 99229/8962 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x))))) x) (*.f64 4351665191129945/1439609866256 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 4481/100000) (*.f64 2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)))))
(+.f64 (+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 4481/100000))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 4481/100000))) x) (-.f64 (/.f64 27746783323/160634888 x) 99229/8962))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 4481/100000))) (pow.f64 x 3)) -4351665191129945/1439609866256))
(+.f64 (*.f64 (pow.f64 4481/100000 -1/2) (pow.f64 (/.f64 -1 x) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 4481/100000 -1/2) (pow.f64 (/.f64 -1 x) 1)) x) (-.f64 (/.f64 27746783323/160634888 x) (+.f64 99229/8962 (/.f64 4351665191129945/1439609866256 (*.f64 x x))))))
230753/100000
(-.f64 230753/100000 (*.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -20191289437/10000000000))
(fma.f64 x -20191289437/10000000000 230753/100000)
(-.f64 (+.f64 230753/100000 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (*.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (-.f64 (*.f64 (*.f64 x x) 1900161040244073/1000000000000000) (*.f64 x 20191289437/10000000000)))
(+.f64 230753/100000 (fma.f64 (*.f64 x x) 1900161040244073/1000000000000000 (*.f64 x -20191289437/10000000000)))
(fma.f64 (*.f64 x x) 1900161040244073/1000000000000000 (fma.f64 x -20191289437/10000000000 230753/100000))
(+.f64 230753/100000 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))
(-.f64 (+.f64 230753/100000 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (+.f64 (*.f64 20191289437/10000000000 x) (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(+.f64 230753/100000 (-.f64 (*.f64 (*.f64 x x) 1900161040244073/1000000000000000) (fma.f64 20191289437/10000000000 x (*.f64 (pow.f64 x 3) 179503363065659419717/100000000000000000000))))
(-.f64 (fma.f64 (*.f64 x x) 1900161040244073/1000000000000000 230753/100000) (fma.f64 x 20191289437/10000000000 (*.f64 (pow.f64 x 3) 179503363065659419717/100000000000000000000)))
(+.f64 (fma.f64 (*.f64 x x) 1900161040244073/1000000000000000 (fma.f64 x -20191289437/10000000000 230753/100000)) (*.f64 (pow.f64 x 3) -179503363065659419717/100000000000000000000))
(-.f64 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) (fma.f64 (pow.f64 x 3) 179503363065659419717/100000000000000000000 -230753/100000))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(fma.f64 (pow.f64 x -2) -1651231776/20079361 (/.f64 27061/4481 x))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (fma.f64 (pow.f64 x -2) -1651231776/20079361 (/.f64 27061/4481 x)))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (fma.f64 (pow.f64 x -2) -1651231776/20079361 (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(fma.f64 (pow.f64 x -2) -1651231776/20079361 (/.f64 27061/4481 x))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (fma.f64 (pow.f64 x -2) -1651231776/20079361 (/.f64 27061/4481 x)))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (fma.f64 (pow.f64 x -2) -1651231776/20079361 (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))

prune479.0ms (7.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1820182
Fresh011
Picked011
Done000
Total1822184
Error
0b
Counts
184 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) x)
0.6b
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))) x)
Compiler

Compiled 5584 to 4434 computations (20.6% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (fma.f64 x 27061/100000 230753/100000))
0.8b
(pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2)
3.8b
(/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))
9.6b
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))))

series81.0ms (1.3%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
19.0ms
x
@0
(/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))
13.0ms
x
@0
(pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2)
10.0ms
x
@inf
(cbrt.f64 (fma.f64 x 27061/100000 230753/100000))
10.0ms
x
@-inf
(/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))
8.0ms
x
@0
(cbrt.f64 (fma.f64 x 27061/100000 230753/100000))

rewrite126.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
250×expm1-udef_binary64
250×log1p-udef_binary64
198×log-pow_binary64
148×add-sqr-sqrt_binary64
140×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01565
131551
2364851
Stop Event
node limit
Counts
4 → 117
Calls
Call 1
Inputs
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))))
(/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))
(pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2)
(cbrt.f64 (fma.f64 x 27061/100000 230753/100000))
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 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (*.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 (cbrt.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 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (/.f64 (cbrt.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 1 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (/.f64 1 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))) 2)))))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 1/6) (pow.f64 (fma.f64 x 27061/100000 230753/100000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 27061/100000 230753/100000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))))))))

simplify76.0ms (1.2%)

Algorithm
egg-herbie
Rules
741×fma-def_binary64
455×associate-*r*_binary64
439×associate-*l*_binary64
289×cancel-sign-sub-inv_binary64
256×associate--l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0142751
1411734
21431678
Stop Event
node limit
Counts
141 → 152
Calls
Call 1
Inputs
230753/100000
(-.f64 230753/100000 (*.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (*.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (+.f64 (*.f64 20191289437/10000000000 x) (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(cbrt.f64 100000/230753)
(-.f64 (+.f64 (cbrt.f64 100000/230753) (*.f64 99229/100000 (*.f64 (cbrt.f64 100000/230753) x))) (*.f64 2706100000/159740841027 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 100000/230753) 2)) 1/3) x)))
(-.f64 (+.f64 (*.f64 4481/100000 (*.f64 (cbrt.f64 100000/230753) (pow.f64 x 2))) (+.f64 (cbrt.f64 100000/230753) (+.f64 (*.f64 99229/100000 (*.f64 (cbrt.f64 100000/230753) x)) (*.f64 73229772100000/36860678289503331 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 100000/230753) 2)))))) (+.f64 (*.f64 7322977210000000000/25517136292013286414729 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 100000/230753) 7)) 1/3) (pow.f64 x 2))) (+.f64 (*.f64 2685235969/159740841027 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 100000/230753) 2)) 1/3) (pow.f64 x 2))) (*.f64 2706100000/159740841027 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 100000/230753) 2)) 1/3) x)))))
(-.f64 (+.f64 (*.f64 4481/100000 (*.f64 (cbrt.f64 100000/230753) (pow.f64 x 2))) (+.f64 (cbrt.f64 100000/230753) (+.f64 (*.f64 14786035238766473077/8505712097337762138243 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 100000/230753) 2))) (+.f64 (*.f64 99229/100000 (*.f64 (cbrt.f64 100000/230753) x)) (+.f64 (*.f64 73229772100000/36860678289503331 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 100000/230753) 2))) (*.f64 396334172559620000000000/5888155750790941880057960937 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 100000/230753) 11)) 1/3) (pow.f64 x 3)))))))) (+.f64 (*.f64 7322977210000000000/25517136292013286414729 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 100000/230753) 7)) 1/3) (pow.f64 x 2))) (+.f64 (*.f64 121260341/159740841027 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 100000/230753) 2)) 1/3) (pow.f64 x 3))) (+.f64 (*.f64 7266517055710900000/25517136292013286414729 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 100000/230753) 7)) 1/3) (pow.f64 x 3))) (+.f64 (*.f64 99083543139905000000000000000/12228386435660359904841131940860049 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 100000/230753) 4))) (+.f64 (*.f64 2685235969/159740841027 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 100000/230753) 2)) 1/3) (pow.f64 x 2))) (*.f64 2706100000/159740841027 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 100000/230753) 2)) 1/3) x))))))))
(pow.f64 (cbrt.f64 230753/100000) 2)
(+.f64 (*.f64 27061/150000 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 1/3) x)) (pow.f64 (cbrt.f64 230753/100000) 2))
(-.f64 (+.f64 (*.f64 27061/150000 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 1/3) x)) (pow.f64 (cbrt.f64 230753/100000) 2)) (*.f64 732297721/90000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 27061/150000 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 1/3) x)) (+.f64 (pow.f64 (cbrt.f64 230753/100000) 2) (*.f64 19816708627981/46727482500000000 (pow.f64 x 3)))) (*.f64 732297721/90000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 x 2))))
(cbrt.f64 230753/100000)
(+.f64 (cbrt.f64 230753/100000) (*.f64 27061/300000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) x)))
(-.f64 (+.f64 (cbrt.f64 230753/100000) (*.f64 27061/300000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) x))) (*.f64 732297721/90000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)) 1/3) (pow.f64 x 2))))
(-.f64 (+.f64 (cbrt.f64 230753/100000) (+.f64 (*.f64 27061/300000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) x)) (*.f64 19816708627981/16200000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 230753/100000) 4))))) (*.f64 732297721/90000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)) 1/3) (pow.f64 x 2))))
Outputs
230753/100000
(-.f64 230753/100000 (*.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
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(cbrt.f64 100000/230753)
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(pow.f64 (cbrt.f64 230753/100000) 2)
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(fma.f64 27061/150000 (*.f64 x (cbrt.f64 (cbrt.f64 230753/100000))) (pow.f64 (cbrt.f64 230753/100000) 2))
(fma.f64 x (*.f64 27061/150000 (cbrt.f64 (cbrt.f64 230753/100000))) (pow.f64 (cbrt.f64 230753/100000) 2))
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(cbrt.f64 230753/100000)
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(+.f64 (cbrt.f64 230753/100000) (fma.f64 (*.f64 27061/300000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) x (*.f64 (*.f64 -732297721/90000000000 (*.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7))))))
(fma.f64 (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7))))) -732297721/90000000000 (fma.f64 x (*.f64 27061/300000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (cbrt.f64 230753/100000)))
(-.f64 (+.f64 (cbrt.f64 230753/100000) (+.f64 (*.f64 27061/300000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) x)) (*.f64 19816708627981/16200000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 230753/100000) 4))))) (*.f64 732297721/90000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)) 1/3) (pow.f64 x 2))))
(+.f64 (cbrt.f64 230753/100000) (-.f64 (fma.f64 27061/300000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 19816708627981/16200000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 230753/100000) 4)))) (*.f64 732297721/90000000000 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)))))))
(+.f64 (cbrt.f64 230753/100000) (+.f64 (*.f64 19816708627981/16200000000000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 230753/100000) 4))) (fma.f64 (*.f64 27061/300000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) x (*.f64 (*.f64 -732297721/90000000000 (*.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)))))))
(+.f64 (*.f64 (/.f64 (pow.f64 x 3) (cbrt.f64 230753/100000)) 19816708627981/37381986000000000) (fma.f64 (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7))))) -732297721/90000000000 (fma.f64 x (*.f64 27061/300000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (cbrt.f64 230753/100000))))

prune463.0ms (7.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1820182
Fresh000
Picked011
Done011
Total1822184
Error
0b
Counts
184 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) x)
0.6b
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))) x)
Compiler

Compiled 5429 to 4418 computations (18.6% saved)

regimes775.0ms (12.2%)

Accuracy

Total 0.1b remaining (88.6%)

Threshold costs 0.1b (88.6%)

Counts
154 → 1
Compiler

Compiled 5948 to 4622 computations (22.3% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01635
12135
22535
32735
42835
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) x)
Outputs
(-.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) x)

end176.0ms (2.8%)

Stop Event
done
Compiler

Compiled 102 to 79 computations (22.5% saved)

Profiling

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