Details

Time bar (total: 5.0s)

analyze10.0ms (0.2%)

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
Compiler

Compiled 19 to 15 computations (21.1% saved)

sample1.3s (25.6%)

Results
1.3s8256×body256valid

preprocess48.0ms (1%)

Algorithm
egg-herbie
Rules
1040×fma-neg_binary64
807×times-frac_binary64
649×associate-/r/_binary64
392×div-sub_binary64
352×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01525
12519
24519
38219
413019
520719
637619
762319
8160819
9301219
10601519
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)))
(+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x -4481/100000 -99229/100000) -1)))
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify39.0ms (0.8%)

Algorithm
egg-herbie
Rules
1040×fma-neg_binary64
807×times-frac_binary64
649×associate-/r/_binary64
392×div-sub_binary64
352×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01525
12519
24519
38219
413019
520719
637619
762319
8160819
9301219
10601519
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)))
(+.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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize34.0ms (0.7%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)
0.0b
(+.f64 230753/100000 (*.f64 x 27061/100000))
0.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
0.0b
(+.f64 99229/100000 (*.f64 x 4481/100000))
0.1b
(*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)
0.4b
(*.f64 x 4481/100000)
0.4b
(*.f64 x 27061/100000)
12.9b
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))
Compiler

Compiled 71 to 55 computations (22.5% saved)

series7.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)
1.0ms
x
@inf
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))
1.0ms
x
@0
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))
1.0ms
x
@-inf
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))
1.0ms
x
@inf
(*.f64 x 27061/100000)

rewrite82.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
676×log-prod_binary64
576×prod-diff_binary64
427×fma-def_binary64
269×expm1-udef_binary64
269×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01440
131232
2407132
Stop Event
node limit
Counts
4 → 106
Calls
Call 1
Inputs
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))
(*.f64 x 27061/100000)
(*.f64 x 4481/100000)
(*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 27061/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 27061/100000)) (cbrt.f64 (pow.f64 (exp.f64 x) 27061/100000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 27061/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 27061/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 27061/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 27061/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 27061/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 27061/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 27061/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 19816708627981/1000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 732297721/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 27061/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 27061/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 19816708627981/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 27061/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 27061/100000)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 4481/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 4481/100000) x)) (cbrt.f64 (pow.f64 (exp.f64 4481/100000) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4481/100000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4481/100000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4481/100000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 4481/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4481/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 4481/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 4481/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 89975616641/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 4481/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4481/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 89975616641/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 4481/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 4481/100000)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 99229/100000 x) (*.f64 (*.f64 x 4481/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 4481/100000) x) (*.f64 99229/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 99229/100000) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 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(fma.f64 x 4481/100000 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 4481/100000) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 99229/100000 x (*.f64 (*.f64 x 4481/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 4481/100000) x (*.f64 99229/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (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) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3)) (/.f64 1 (fma.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2)) (/.f64 1 (-.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1))))))

simplify49.0ms (1%)

Algorithm
egg-herbie
Rules
771×fma-def_binary64
767×distribute-neg-frac_binary64
417×times-frac_binary64
377×distribute-rgt-neg-in_binary64
348×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
047396
1113392
2262381
3686357
42001354
55862354
Stop Event
node limit
Counts
154 → 130
Calls
Call 1
Inputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.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 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (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 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 99229/100000 x)
(+.f64 (*.f64 99229/100000 x) (*.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 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 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.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 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
Outputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x 230753/100000))
(fma.f64 x (*.f64 x 1900161040244073/1000000000000000) (fma.f64 -20191289437/10000000000 x 230753/100000))
(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.f64 (*.f64 -20191289437/10000000000 x) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (+.f64 230753/100000 (fma.f64 -20191289437/10000000000 x (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(fma.f64 x (*.f64 x 1900161040244073/1000000000000000) (fma.f64 -20191289437/10000000000 x (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) 230753/100000)))
(fma.f64 x (*.f64 x (fma.f64 x -179503363065659419717/100000000000000000000 1900161040244073/1000000000000000)) (fma.f64 -20191289437/10000000000 x 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 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 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.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 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 -1651231776/20079361 x) x)))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.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 (/.f64 -1651231776/20079361 x) x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (-.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 (/.f64 -1651231776/20079361 x) x) (/.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)))
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.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 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 -1651231776/20079361 x) x)))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.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 (/.f64 -1651231776/20079361 x) x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (-.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 (/.f64 -1651231776/20079361 x) x) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))))
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(+.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 (*.f64 x x) 4481/100000))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.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 (*.f64 x x) 4481/100000))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.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 (*.f64 x x) 4481/100000))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.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 (*.f64 x x) 4481/100000))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.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 (*.f64 x x) 4481/100000))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.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 (*.f64 x x) 4481/100000))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.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 (*.f64 x x) 4481/100000))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.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 (*.f64 x x) 4481/100000))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.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 (*.f64 x x) 4481/100000))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))

eval72.0ms (1.4%)

Compiler

Compiled 2683 to 2088 computations (22.2% saved)

prune25.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1237130
Fresh000
Picked011
Done000
Total1238131
Error
0b
Counts
131 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
15.8b
(-.f64 x (/.f64 (+.f64 230753/100000 (-.f64 (exp.f64 (log1p.f64 (*.f64 x 27061/100000))) 1)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
24.3b
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
34.9b
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
0.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
1.6b
(-.f64 x 230753/100000)
0.0b
(-.f64 x (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)))
34.0b
(-.f64 x (/.f64 27061/4481 x))
1.1b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
Compiler

Compiled 186 to 142 computations (23.7% saved)

localize61.0ms (1.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 x 27061/100000 230753/100000)
0.1b
(fma.f64 x 4481/100000 99229/100000)
0.1b
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
0.0b
(-.f64 x (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)))
0.2b
(fma.f64 x 27061/100000 230753/100000)
1.0b
(pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)
12.9b
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
16.9b
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3))
Compiler

Compiled 81 to 63 computations (22.2% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3))
1.0ms
x
@inf
(pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)
1.0ms
x
@-inf
(pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)
1.0ms
x
@0
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3))
0.0ms
x
@0
(pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)

rewrite89.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
497×log-prod_binary64
387×exp-prod_binary64
312×pow2_binary64
274×pow-prod-down_binary64
218×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01456
129656
2309556
Stop Event
node limit
Counts
4 → 194
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3))
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
(pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)
(fma.f64 x 27061/100000 230753/100000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.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 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.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 (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 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#<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (/.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 pow.f64 (/.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000)) 1) -1)))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 230753/100000 (*.f64 x 27061/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 27061/100000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 27061/100000) 1) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 27061/100000 230753/100000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 27061/100000 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 27061/100000 230753/100000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 27061/100000 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 27061/100000 230753/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 27061/100000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 27061/100000) 3) 12286892763167777/1000000000000000) (+.f64 (pow.f64 (*.f64 x 27061/100000) 2) (-.f64 53246947009/10000000000 (*.f64 (*.f64 x 27061/100000) 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 27061/100000) 2) 53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 27061/100000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000)))) (sqrt.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 27061/100000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 27061/100000 230753/100000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 27061/100000 230753/100000)))))))

simplify64.0ms (1.3%)

Algorithm
egg-herbie
Rules
597×fma-def_binary64
587×fma-neg_binary64
495×distribute-neg-frac_binary64
492×unswap-sqr_binary64
488×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075645
1189617
2481610
31335591
44383591
Stop Event
node limit
Counts
242 → 174
Calls
Call 1
Inputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.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 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (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 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.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 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (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 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
12286892763167777/1000000000000000
(+.f64 12286892763167777/1000000000000000 (*.f64 -3225373556085961331799/100000000000000000000 x))
(+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2))))
(+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))))
(/.f64 19816708627981/89975616641 (pow.f64 x 3))
(-.f64 (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 3627579799222747488/403180738168321 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 554672352759507597336960/1806652887732246401 (/.f64 1 (pow.f64 x 5))) (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 3627579799222747488/403180738168321 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 554672352759507597336960/1806652887732246401 (/.f64 1 (pow.f64 x 5))) (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 76629642741519826058752050048/8095611589928196122881 (/.f64 1 (pow.f64 x 6))) (*.f64 3627579799222747488/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(/.f64 19816708627981/89975616641 (pow.f64 x 3))
(-.f64 (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 3627579799222747488/403180738168321 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 554672352759507597336960/1806652887732246401 (/.f64 1 (pow.f64 x 5))) (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 3627579799222747488/403180738168321 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 554672352759507597336960/1806652887732246401 (/.f64 1 (pow.f64 x 5))) (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 76629642741519826058752050048/8095611589928196122881 (/.f64 1 (pow.f64 x 6))) (*.f64 3627579799222747488/403180738168321 (/.f64 1 (pow.f64 x 4)))))
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))
Outputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 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 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.f64 (*.f64 -20191289437/10000000000 x) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (+.f64 230753/100000 (fma.f64 -20191289437/10000000000 x (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) (*.f64 -20191289437/10000000000 x)) (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000))
(fma.f64 x (*.f64 x 1900161040244073/1000000000000000) (fma.f64 -20191289437/10000000000 x (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) 230753/100000)))
(fma.f64 x (*.f64 x (fma.f64 x -179503363065659419717/100000000000000000000 1900161040244073/1000000000000000)) (fma.f64 -20191289437/10000000000 x 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 (/.f64 1651231776/20079361 x) x))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 1651231776/20079361 x) x)))
(+.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 1 (*.f64 x x)) (+.f64 (/.f64 151724043800704/89975616641 x) -1651231776/20079361)))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.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 (/.f64 1651231776/20079361 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 (/.f64 27061/4481 x) (/.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 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 (/.f64 1651231776/20079361 x) x))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 1651231776/20079361 x) x)))
(+.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 1 (*.f64 x x)) (+.f64 (/.f64 151724043800704/89975616641 x) -1651231776/20079361)))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.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 (/.f64 1651231776/20079361 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 (/.f64 27061/4481 x) (/.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)))))
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 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 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.f64 (*.f64 -20191289437/10000000000 x) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (+.f64 230753/100000 (fma.f64 -20191289437/10000000000 x (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) (*.f64 -20191289437/10000000000 x)) (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000))
(fma.f64 x (*.f64 x 1900161040244073/1000000000000000) (fma.f64 -20191289437/10000000000 x (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) 230753/100000)))
(fma.f64 x (*.f64 x (fma.f64 x -179503363065659419717/100000000000000000000 1900161040244073/1000000000000000)) (fma.f64 -20191289437/10000000000 x 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 (/.f64 1651231776/20079361 x) x))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 1651231776/20079361 x) x)))
(+.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 1 (*.f64 x x)) (+.f64 (/.f64 151724043800704/89975616641 x) -1651231776/20079361)))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.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 (/.f64 1651231776/20079361 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 (/.f64 27061/4481 x) (/.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 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 (/.f64 1651231776/20079361 x) x))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 1651231776/20079361 x) x)))
(+.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 1 (*.f64 x x)) (+.f64 (/.f64 151724043800704/89975616641 x) -1651231776/20079361)))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.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 (/.f64 1651231776/20079361 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 (/.f64 27061/4481 x) (/.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)))))
12286892763167777/1000000000000000
(+.f64 12286892763167777/1000000000000000 (*.f64 -3225373556085961331799/100000000000000000000 x))
(+.f64 12286892763167777/1000000000000000 (*.f64 x -3225373556085961331799/100000000000000000000))
(fma.f64 x -3225373556085961331799/100000000000000000000 12286892763167777/1000000000000000)
(+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2))))
(+.f64 12286892763167777/1000000000000000 (fma.f64 -3225373556085961331799/100000000000000000000 x (*.f64 (*.f64 x x) 292879563464098765674382971/5000000000000000000000000)))
(+.f64 (fma.f64 x -3225373556085961331799/100000000000000000000 12286892763167777/1000000000000000) (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000)))
(fma.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000) (fma.f64 x -3225373556085961331799/100000000000000000000 12286892763167777/1000000000000000))
(fma.f64 x (fma.f64 x 292879563464098765674382971/5000000000000000000000000 -3225373556085961331799/100000000000000000000) 12286892763167777/1000000000000000)
(+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))))
(+.f64 12286892763167777/1000000000000000 (fma.f64 -3225373556085961331799/100000000000000000000 x (fma.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x x) (*.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000))))
(+.f64 (fma.f64 x -3225373556085961331799/100000000000000000000 12286892763167777/1000000000000000) (fma.f64 (*.f64 x x) 292879563464098765674382971/5000000000000000000000000 (*.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000)))
(+.f64 12286892763167777/1000000000000000 (fma.f64 x -3225373556085961331799/100000000000000000000 (*.f64 (*.f64 x x) (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000)))))
(fma.f64 x -3225373556085961331799/100000000000000000000 (fma.f64 x (*.f64 x (fma.f64 x -9002515688962273068793241896453/100000000000000000000000000000 292879563464098765674382971/5000000000000000000000000)) 12286892763167777/1000000000000000))
(fma.f64 x -3225373556085961331799/100000000000000000000 (fma.f64 (*.f64 x x) (fma.f64 x -9002515688962273068793241896453/100000000000000000000000000000 292879563464098765674382971/5000000000000000000000000) 12286892763167777/1000000000000000))
(/.f64 19816708627981/89975616641 (pow.f64 x 3))
(-.f64 (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 3627579799222747488/403180738168321 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (/.f64 3627579799222747488/403180738168321 (pow.f64 x 4)))
(+.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (/.f64 -3627579799222747488/403180738168321 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 554672352759507597336960/1806652887732246401 (/.f64 1 (pow.f64 x 5))) (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 3627579799222747488/403180738168321 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 554672352759507597336960/1806652887732246401 (pow.f64 x 5)) (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (/.f64 3627579799222747488/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 554672352759507597336960/1806652887732246401 (pow.f64 x 5)) (/.f64 3627579799222747488/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 554672352759507597336960/1806652887732246401 (pow.f64 x 5)) (/.f64 -3627579799222747488/403180738168321 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 554672352759507597336960/1806652887732246401 (/.f64 1 (pow.f64 x 5))) (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 76629642741519826058752050048/8095611589928196122881 (/.f64 1 (pow.f64 x 6))) (*.f64 3627579799222747488/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 554672352759507597336960/1806652887732246401 (pow.f64 x 5)) (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 3627579799222747488/403180738168321 (pow.f64 x 4)) (/.f64 76629642741519826058752050048/8095611589928196122881 (pow.f64 x 6)))))
(+.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 554672352759507597336960/1806652887732246401 (pow.f64 x 5)) (+.f64 (/.f64 3627579799222747488/403180738168321 (pow.f64 x 4)) (/.f64 76629642741519826058752050048/8095611589928196122881 (pow.f64 x 6)))))
(+.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 554672352759507597336960/1806652887732246401 (pow.f64 x 5)) (+.f64 (/.f64 -3627579799222747488/403180738168321 (pow.f64 x 4)) (/.f64 -76629642741519826058752050048/8095611589928196122881 (pow.f64 x 6)))))
(+.f64 (/.f64 554672352759507597336960/1806652887732246401 (pow.f64 x 5)) (+.f64 (/.f64 -3627579799222747488/403180738168321 (pow.f64 x 4)) (+.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (/.f64 -76629642741519826058752050048/8095611589928196122881 (pow.f64 x 6)))))
(/.f64 19816708627981/89975616641 (pow.f64 x 3))
(-.f64 (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 3627579799222747488/403180738168321 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (/.f64 3627579799222747488/403180738168321 (pow.f64 x 4)))
(+.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (/.f64 -3627579799222747488/403180738168321 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 554672352759507597336960/1806652887732246401 (/.f64 1 (pow.f64 x 5))) (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 3627579799222747488/403180738168321 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 554672352759507597336960/1806652887732246401 (pow.f64 x 5)) (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (/.f64 3627579799222747488/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 554672352759507597336960/1806652887732246401 (pow.f64 x 5)) (/.f64 3627579799222747488/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 554672352759507597336960/1806652887732246401 (pow.f64 x 5)) (/.f64 -3627579799222747488/403180738168321 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 554672352759507597336960/1806652887732246401 (/.f64 1 (pow.f64 x 5))) (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 76629642741519826058752050048/8095611589928196122881 (/.f64 1 (pow.f64 x 6))) (*.f64 3627579799222747488/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 554672352759507597336960/1806652887732246401 (pow.f64 x 5)) (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 3627579799222747488/403180738168321 (pow.f64 x 4)) (/.f64 76629642741519826058752050048/8095611589928196122881 (pow.f64 x 6)))))
(+.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 554672352759507597336960/1806652887732246401 (pow.f64 x 5)) (+.f64 (/.f64 3627579799222747488/403180738168321 (pow.f64 x 4)) (/.f64 76629642741519826058752050048/8095611589928196122881 (pow.f64 x 6)))))
(+.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 554672352759507597336960/1806652887732246401 (pow.f64 x 5)) (+.f64 (/.f64 -3627579799222747488/403180738168321 (pow.f64 x 4)) (/.f64 -76629642741519826058752050048/8095611589928196122881 (pow.f64 x 6)))))
(+.f64 (/.f64 554672352759507597336960/1806652887732246401 (pow.f64 x 5)) (+.f64 (/.f64 -3627579799222747488/403180738168321 (pow.f64 x 4)) (+.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (/.f64 -76629642741519826058752050048/8095611589928196122881 (pow.f64 x 6)))))
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)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x 230753/100000)
0.0b
(-.f64 x 230753/100000)
Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 x 230753/100000)
0.0ms
x
@-inf
(-.f64 x 230753/100000)
0.0ms
x
@inf
(-.f64 x 230753/100000)

rewrite55.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
479×pow1_binary64
476×add-sqr-sqrt_binary64
453×add-log-exp_binary64
453×log1p-expm1-u_binary64
453×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1934
211654
Stop Event
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(-.f64 x 230753/100000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -230753/100000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -230753/100000)) (pow.f64 (cbrt.f64 (+.f64 x -230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -230753/100000)) 2) (cbrt.f64 (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -230753/100000)) (sqrt.f64 (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) -12286892763167777/1000000000000000) (/.f64 1 (fma.f64 x x (+.f64 53246947009/10000000000 (*.f64 x 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -53246947009/10000000000) (/.f64 1 (+.f64 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 53246947009/10000000000 (*.f64 x 230753/100000))) (+.f64 (pow.f64 x 3) -12286892763167777/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 230753/100000) (fma.f64 x x -53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -12286892763167777/1000000000000000) (fma.f64 x x (+.f64 53246947009/10000000000 (*.f64 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -12286892763167777/1000000000000000) (+.f64 (*.f64 x x) (-.f64 53246947009/10000000000 (*.f64 x -230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -53246947009/10000000000) (+.f64 x 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -53246947009/10000000000) (-.f64 x -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) -12286892763167777/1000000000000000)) (neg.f64 (fma.f64 x x (+.f64 53246947009/10000000000 (*.f64 x 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -53246947009/10000000000)) (neg.f64 (+.f64 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -230753/100000)))))))

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023
Stop Event
saturated
Counts
33 → 32
Calls
Call 1
Inputs
-230753/100000
x
x
Outputs
-230753/100000
x
x

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 27061/4481 x)
0.0b
(-.f64 x (/.f64 27061/4481 x))
0.0b
(-.f64 x (/.f64 27061/4481 x))
0.3b
(/.f64 27061/4481 x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 27061/4481 x)
0.0ms
x
@inf
(/.f64 27061/4481 x)
0.0ms
x
@0
(-.f64 x (/.f64 27061/4481 x))
0.0ms
x
@-inf
(/.f64 27061/4481 x)
0.0ms
x
@inf
(-.f64 x (/.f64 27061/4481 x))

rewrite50.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
670×pow1_binary64
633×add-log-exp_binary64
633×log1p-expm1-u_binary64
633×expm1-log1p-u_binary64
621×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
111911
2168611
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 27061/4481 x)
(-.f64 x (/.f64 27061/4481 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 27061/4481 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 27061/4481 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 27061/4481 x)) (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2) (cbrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 27061/4481 x)) (sqrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -27061/4481 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 27061/4481)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 27061/4481 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4481/27061) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 732297721/20079361 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 27061/4481 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 -27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -27061/4481 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -27061/4481 x)) (fma.f64 (neg.f64 (/.f64 1 x)) 27061/4481 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -27061/4481 x)) (fma.f64 (/.f64 -27061/4481 x) 1 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -27061/4481 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 27061/4481 x))) (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2) (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -27061/4481 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 27061/4481 x))) (sqrt.f64 (/.f64 27061/4481 x)) (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -27061/4481 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 -27061/4481 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 -27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 -27061/4481 x))) (sqrt.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (/.f64 19816708627981/89975616641 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 27061/4481 x) (+.f64 x (/.f64 27061/4481 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (/.f64 732297721/20079361 (*.f64 x x))) (/.f64 1 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 27061/4481 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 27061/4481 x) (+.f64 x (/.f64 27061/4481 x)))) (-.f64 (pow.f64 x 3) (/.f64 19816708627981/89975616641 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (*.f64 x x) (/.f64 732297721/20079361 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (/.f64 19816708627981/89975616641 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 27061/4481 x) (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (/.f64 732297721/20079361 (*.f64 x x))) (+.f64 x (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 19816708627981/89975616641 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 27061/4481 x) (+.f64 x (/.f64 27061/4481 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 732297721/20079361 (*.f64 x x)))) (neg.f64 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -27061/4481 x) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 -27061/4481 x) (/.f64 -27061/4481 x)) (*.f64 x (/.f64 -27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 -27061/4481 x) (/.f64 -27061/4481 x))) (-.f64 x (/.f64 -27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 -27061/4481 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 -27061/4481 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 -27061/4481 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 -27061/4481 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -27061/4481 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -27061/4481 x))))))))

simplify18.0ms (0.4%)

Algorithm
egg-herbie
Rules
66×fma-neg_binary64
65×fma-def_binary64
30×associate-/r*_binary64
26×cancel-sign-sub-inv_binary64
23×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0969
11969
23069
34769
46369
58869
613569
718769
824369
932669
1046269
1148769
1250569
Stop Event
saturated
Counts
68 → 59
Calls
Call 1
Inputs
(/.f64 -27061/4481 x)
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
x
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
x
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
Outputs
(/.f64 -27061/4481 x)
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
x
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
x
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))

localize9.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.6b
(*.f64 -20191289437/10000000000 x)
0.1b
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
0.0b
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
0.0b
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
0.1b
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
0.6b
(*.f64 -20191289437/10000000000 x)
Compiler

Compiled 19 to 14 computations (26.3% saved)

series28.0ms (0.6%)

Counts
3 → 15
Calls

9 calls:

TimeVariablePointExpression
24.0ms
x
@inf
(*.f64 -20191289437/10000000000 x)
2.0ms
x
@-inf
(*.f64 -20191289437/10000000000 x)
0.0ms
x
@0
(*.f64 -20191289437/10000000000 x)
0.0ms
x
@inf
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
0.0ms
x
@0
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))

rewrite95.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
940×pow1_binary64
888×add-log-exp_binary64
888×log1p-expm1-u_binary64
888×expm1-log1p-u_binary64
874×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
116517
2228217
Stop Event
node limit
Counts
3 → 86
Calls
Call 1
Inputs
(*.f64 -20191289437/10000000000 x)
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -20191289437/10000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -20191289437/10000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -20191289437/10000000000 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (fma.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 1 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2) (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) (sqrt.f64 (fma.f64 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230753/100000)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3)) (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2)) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))) (neg.f64 (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -230753/100000) 3) (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 x -230753/100000) (+.f64 x -230753/100000)) (+.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) (*.f64 (+.f64 x -230753/100000) (*.f64 -20191289437/10000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) (*.f64 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x -230753/100000) (+.f64 x -230753/100000)) (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (+.f64 (+.f64 x -230753/100000) (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))) (-.f64 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -20191289437/10000000000 x 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 53246947009/10000000000 (-.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) (/.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) (-.f64 230753/100000 (*.f64 -20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -20191289437/10000000000 x 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2) (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3))) (/.f64 1 (+.f64 53246947009/10000000000 (*.f64 (*.f64 -20191289437/10000000000 x) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (/.f64 1 (-.f64 230753/100000 (*.f64 -20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 53246947009/10000000000 (*.f64 (*.f64 -20191289437/10000000000 x) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000))) (+.f64 12286892763167777/1000000000000000 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3))) (+.f64 53246947009/10000000000 (*.f64 (*.f64 -20191289437/10000000000 x) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) (-.f64 53246947009/10000000000 (*.f64 -4659200611456061/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (-.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3)))) (neg.f64 (+.f64 53246947009/10000000000 (*.f64 (*.f64 -20191289437/10000000000 x) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000))) (neg.f64 (-.f64 230753/100000 (*.f64 -20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -20191289437/10000000000 x 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -20191289437/10000000000 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -20191289437/10000000000 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 2) (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x)) (sqrt.f64 (*.f64 -20191289437/10000000000 x)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))))

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
fma-neg_binary64
+-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0963
11463
21663
Stop Event
saturated
Counts
101 → 93
Calls
Call 1
Inputs
-230753/100000
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
230753/100000
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
Outputs
-230753/100000
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
230753/100000
(*.f64 -20191289437/10000000000 x)
(*.f64 x -20191289437/10000000000)
(*.f64 -20191289437/10000000000 x)
(*.f64 x -20191289437/10000000000)

localize18.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(/.f64 27061/4481 x)
0.1b
(/.f64 (/.f64 -1651231776/20079361 x) x)
0.0b
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
0.0b
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
0.0b
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
0.1b
(/.f64 (/.f64 -1651231776/20079361 x) x)
0.3b
(/.f64 27061/4481 x)
0.4b
(/.f64 -1651231776/20079361 x)
Compiler

Compiled 35 to 23 computations (34.3% saved)

series4.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (/.f64 -1651231776/20079361 x) x)
1.0ms
x
@0
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
1.0ms
x
@0
(/.f64 -1651231776/20079361 x)
0.0ms
x
@inf
(/.f64 -1651231776/20079361 x)
0.0ms
x
@-inf
(/.f64 -1651231776/20079361 x)

rewrite78.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
454×log-prod_binary64
348×exp-prod_binary64
339×fma-def_binary64
297×pow-prod-down_binary64
255×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0824
119324
2292922
Stop Event
node limit
Counts
3 → 188
Calls
Call 1
Inputs
(/.f64 -1651231776/20079361 x)
(/.f64 (/.f64 -1651231776/20079361 x) x)
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
Outputs
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simplify58.0ms (1.2%)

Algorithm
egg-herbie
Rules
753×times-frac_binary64
657×fma-neg_binary64
533×div-sub_binary64
520×associate-/l/_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015216
132216
257216
3113216
4292216
51025216
64813216
77498216
Stop Event
node limit
Counts
212 → 193
Calls
Call 1
Inputs
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.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 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.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 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) 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 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) 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 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) 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 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
(/.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 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) 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 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) 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 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
(/.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 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) 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 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) 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 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))

eval364.0ms (7.3%)

Compiler

Compiled 9259 to 6832 computations (26.2% saved)

prune90.0ms (1.8%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New5665571
Fresh112
Picked011
Done145
Total56811579
Error
0b
Counts
579 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
24.3b
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
34.0b
x
34.9b
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
0.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
27.3b
(-.f64 x (/.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (-.f64 230753/100000 (*.f64 -20191289437/10000000000 x))))
34.0b
(-.f64 x (/.f64 27061/4481 x))
1.6b
(-.f64 x 230753/100000)
27.6b
(-.f64 x (cbrt.f64 (+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))))))
24.3b
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
28.7b
-230753/100000
1.1b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
Compiler

Compiled 109 to 83 computations (23.9% saved)

localize54.0ms (1.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))
0.0b
(*.f64 x 99229/100000)
0.0b
(+.f64 230753/100000 (*.f64 x 27061/100000))
0.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
0.0b
(+.f64 230753/100000 (*.f64 x 27061/100000))
0.0b
(*.f64 x 99229/100000)
0.1b
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))
0.4b
(*.f64 x 27061/100000)
Compiler

Compiled 46 to 36 computations (21.7% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))
0.0ms
x
@-inf
(*.f64 x 99229/100000)
0.0ms
x
@inf
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))
0.0ms
x
@inf
(*.f64 x 99229/100000)
0.0ms
x
@0
(*.f64 x 99229/100000)

rewrite99.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
515×log-prod_binary64
380×prod-diff_binary64
319×fma-def_binary64
297×pow2_binary64
285×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
124121
2309921
Stop Event
node limit
Counts
3 → 109
Calls
Call 1
Inputs
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))
(*.f64 x 99229/100000)
(+.f64 230753/100000 (*.f64 x 27061/100000))
Outputs
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99229/100000 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 99229/100000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 99229/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x 99229/100000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9846394441/10000000000 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 99229/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 99229/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 977047873985989/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9846394441/10000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 977047873985989/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 99229/100000 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 99229/100000 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) (pow.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) 2) (cbrt.f64 (fma.f64 x 99229/100000 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 99229/100000 1)) (sqrt.f64 (fma.f64 x 99229/100000 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x))) (/.f64 1 (+.f64 1 (*.f64 -99229/100000 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 99229/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 x 99229/100000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 27061/100000 230753/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 53246947009/10000000000 (+.f64 230753/100000 (*.f64 -27061/100000 x))) (/.f64 (*.f64 (*.f64 x x) 732297721/10000000000) (+.f64 230753/100000 (*.f64 -27061/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 27061/100000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000) (/.f64 1 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000)) (/.f64 1 (+.f64 230753/100000 (*.f64 -27061/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000) (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 230753/100000 (*.f64 -27061/100000 x)) (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000) 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53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 27061/100000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 27061/100000 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 27061/100000 x 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 27061/100000) 1 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 27061/100000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 27061/100000)) (cbrt.f64 (*.f64 (*.f64 x x) 732297721/10000000000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 732297721/10000000000)) (cbrt.f64 (*.f64 x 27061/100000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 27061/100000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 27061/100000)) (sqrt.f64 (*.f64 x 27061/100000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 27061/100000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 27061/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 27061/100000 (sqrt.f64 x)) (sqrt.f64 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 27061/100000 230753/100000)))))))

simplify53.0ms (1.1%)

Algorithm
egg-herbie
Rules
626×fma-def_binary64
543×associate-*l*_binary64
536×unswap-sqr_binary64
453×associate-/r/_binary64
330×distribute-neg-frac_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
040261
1100241
2221238
3543231
41421228
54720224
Stop Event
node limit
Counts
145 → 128
Calls
Call 1
Inputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (+.f64 (*.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (+.f64 (*.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3)) (*.f64 -20191289437/10000000000 x))))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
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))
Outputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (+.f64 (*.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (fma.f64 2003561459544073/1000000000000000 (*.f64 x x) (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (fma.f64 -20191289437/10000000000 x (*.f64 2003561459544073/1000000000000000 (*.f64 x x))))
(fma.f64 -20191289437/10000000000 x (fma.f64 x (*.f64 x 2003561459544073/1000000000000000) 230753/100000))
(fma.f64 x (fma.f64 x 2003561459544073/1000000000000000 -20191289437/10000000000) 230753/100000)
(+.f64 230753/100000 (+.f64 (*.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3)) (*.f64 -20191289437/10000000000 x))))
(+.f64 230753/100000 (fma.f64 2003561459544073/1000000000000000 (*.f64 x x) (fma.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3) (*.f64 -20191289437/10000000000 x))))
(+.f64 230753/100000 (fma.f64 2003561459544073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x (*.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3)))))
(+.f64 230753/100000 (fma.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3) (*.f64 x (+.f64 -20191289437/10000000000 (*.f64 x 2003561459544073/1000000000000000)))))
(fma.f64 -20191289437/10000000000 x (fma.f64 x (*.f64 x (fma.f64 x -198811400069098819717/100000000000000000000 2003561459544073/1000000000000000)) 230753/100000))
(fma.f64 x (fma.f64 x (fma.f64 x -198811400069098819717/100000000000000000000 2003561459544073/1000000000000000) -20191289437/10000000000) 230753/100000)
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 27061/99229 (-.f64 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x)))))
(+.f64 (/.f64 20191289437/9846394441 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 x) -2019128943700000/977047873985989) 27061/99229))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 27061/99229 (-.f64 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x)))))
(+.f64 (/.f64 20191289437/9846394441 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 x) -2019128943700000/977047873985989) 27061/99229))
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
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 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)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 30191289437/10000000000 x)
0.0b
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
0.0b
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
0.4b
(*.f64 30191289437/10000000000 x)
Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 30191289437/10000000000 x)
0.0ms
x
@inf
(*.f64 30191289437/10000000000 x)
0.0ms
x
@-inf
(*.f64 30191289437/10000000000 x)
0.0ms
x
@inf
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
0.0ms
x
@-inf
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)

rewrite54.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
648×pow1_binary64
612×add-log-exp_binary64
612×log1p-expm1-u_binary64
612×expm1-log1p-u_binary64
603×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11359
216019
Stop Event
node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 30191289437/10000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 30191289437/10000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 30191289437/10000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 27519781727879580139643921576453/1000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 30191289437/10000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 27519781727879580139643921576453/1000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 30191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 30191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 30191289437/10000000000 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 30191289437/10000000000 x) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -230753/100000 (*.f64 30191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 30191289437/10000000000 x -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) 2) (cbrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) (sqrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 27519781727879580139643921576453/1000000000000000000000000000000) -12286892763167777/1000000000000000) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (+.f64 53246947009/10000000000 (*.f64 x 6966730611456061/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (/.f64 1 (fma.f64 30191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (+.f64 53246947009/10000000000 (*.f64 x 6966730611456061/1000000000000000))) (+.f64 (*.f64 (pow.f64 x 3) 27519781727879580139643921576453/1000000000000000000000000000000) -12286892763167777/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 30191289437/10000000000 x 230753/100000) (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 27519781727879580139643921576453/1000000000000000000000000000000) -12286892763167777/1000000000000000) (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (+.f64 53246947009/10000000000 (*.f64 x 6966730611456061/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 27519781727879580139643921576453/1000000000000000000000000000000) -12286892763167777/1000000000000000) (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (-.f64 53246947009/10000000000 (*.f64 (*.f64 30191289437/10000000000 x) -230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (fma.f64 30191289437/10000000000 x 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (-.f64 (*.f64 30191289437/10000000000 x) -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 27519781727879580139643921576453/1000000000000000000000000000000) -12286892763167777/1000000000000000)) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (+.f64 53246947009/10000000000 (*.f64 x 6966730611456061/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000)) (neg.f64 (fma.f64 30191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 30191289437/10000000000 x -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 30191289437/10000000000 -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 30191289437/10000000000 x) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 30191289437/10000000000 x)) 2) (cbrt.f64 (*.f64 30191289437/10000000000 x)) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 30191289437/10000000000 x)) (sqrt.f64 (*.f64 30191289437/10000000000 x)) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))))

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
169
Stop Event
saturated
Counts
46 → 45
Calls
Call 1
Inputs
-230753/100000
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
Outputs
-230753/100000
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)

localize79.0ms (1.6%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3))
0.1b
(-.f64 x (cbrt.f64 (+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))))))
0.0b
(+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))))
0.0b
(+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3))))
0.3b
(*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2))
0.7b
(*.f64 -3225373556085961331799/100000000000000000000 x)
6.3b
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
17.5b
(cbrt.f64 (+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3))))))
Compiler

Compiled 108 to 87 computations (19.4% saved)

series45.0ms (0.9%)

Counts
4 → 15
Calls

12 calls:

TimeVariablePointExpression
36.0ms
x
@0
(cbrt.f64 (+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3))))))
3.0ms
x
@inf
(cbrt.f64 (+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3))))))
2.0ms
x
@-inf
(cbrt.f64 (+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3))))))
1.0ms
x
@0
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
1.0ms
x
@inf
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))

rewrite105.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
762×fma-def_binary64
746×log-prod_binary64
386×fma-neg_binary64
309×expm1-udef_binary64
309×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01748
138948
2487748
Stop Event
node limit
Counts
4 → 117
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3))))))
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
(*.f64 -3225373556085961331799/100000000000000000000 x)
(*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (+.f64 (fma.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000))) (fma.f64 -3225373556085961331799/100000000000000000000 x 12286892763167777/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 (fma.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000))) (fma.f64 -3225373556085961331799/100000000000000000000 x 12286892763167777/1000000000000000))))) (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 (fma.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000))) (fma.f64 -3225373556085961331799/100000000000000000000 x 12286892763167777/1000000000000000))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 (fma.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000))) (fma.f64 -3225373556085961331799/100000000000000000000 x 12286892763167777/1000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 (fma.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000))) (fma.f64 -3225373556085961331799/100000000000000000000 x 12286892763167777/1000000000000000)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 (fma.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000))) (fma.f64 -3225373556085961331799/100000000000000000000 x 12286892763167777/1000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (fma.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000))) (fma.f64 -3225373556085961331799/100000000000000000000 x 12286892763167777/1000000000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000))) (fma.f64 -3225373556085961331799/100000000000000000000 x 12286892763167777/1000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 (fma.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000))) (fma.f64 -3225373556085961331799/100000000000000000000 x 12286892763167777/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify60.0ms (1.2%)

Algorithm
egg-herbie
Rules
674×cancel-sign-sub-inv_binary64
415×div-sub_binary64
290×associate-/r*_binary64
288×associate-*r*_binary64
286×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0111571
1326569
21048550
34679550
Stop Event
node limit
Counts
132 → 144
Calls
Call 1
Inputs
(cbrt.f64 12286892763167777/1000000000000000)
(+.f64 (*.f64 -1075124518695320443933/100000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) 1/3) x)) (cbrt.f64 12286892763167777/1000000000000000))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (+.f64 (*.f64 -1075124518695320443933/100000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) 1/3) x)) (cbrt.f64 12286892763167777/1000000000000000)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1242728615757089901547577161584615474899131197318642480083047237/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (+.f64 9002515688962273068793241896453/100000000000000000000000000000 (*.f64 -1075124518695320443933/50000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 5)) 1/3) (-.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (+.f64 (*.f64 -1075124518695320443933/100000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) 1/3) x)) (cbrt.f64 12286892763167777/1000000000000000))))
(*.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) x)
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(*.f64 -1 (*.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) x))
(+.f64 (*.f64 97626521154699588558127657/5000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2)) 1/3)) (*.f64 -1 (*.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) x)))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 3225373556085961331799/100000000000000000000 (*.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2) x))) (+.f64 (*.f64 97626521154699588558127657/5000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2)) 1/3)) (*.f64 -1 (*.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) x))))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 97626521154699588558127657/2500000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 5)) 1/3) (-.f64 3225373556085961331799/100000000000000000000 (*.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000)) 1/3))))) (*.f64 930472284429645810697199600109090515885608806608392861888557494720526426862393/125000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))))) (*.f64 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 3225373556085961331799/100000000000000000000 (*.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2) x))) (+.f64 (*.f64 97626521154699588558127657/5000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2)) 1/3)) (*.f64 -1 (*.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) x)))))
(*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2))
(*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3))
(*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3))
Outputs
(cbrt.f64 12286892763167777/1000000000000000)
(+.f64 (*.f64 -1075124518695320443933/100000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) 1/3) x)) (cbrt.f64 12286892763167777/1000000000000000))
(fma.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) x) (cbrt.f64 12286892763167777/1000000000000000))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (*.f64 -1075124518695320443933/100000000000000000000 x) (cbrt.f64 12286892763167777/1000000000000000))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (+.f64 (*.f64 -1075124518695320443933/100000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) 1/3) x)) (cbrt.f64 12286892763167777/1000000000000000)))
(fma.f64 1/3 (/.f64 (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))))) (/.f64 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2) (*.f64 x x))) (fma.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) x) (cbrt.f64 12286892763167777/1000000000000000)))
(fma.f64 1/3 (*.f64 (/.f64 (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))) -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) (*.f64 x x)) (fma.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) x) (cbrt.f64 12286892763167777/1000000000000000)))
(fma.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) x) (fma.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))) -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 292879563464098765674382971/5000000000000000000000000) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (cbrt.f64 12286892763167777/1000000000000000)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1242728615757089901547577161584615474899131197318642480083047237/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (+.f64 9002515688962273068793241896453/100000000000000000000000000000 (*.f64 -1075124518695320443933/50000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 5)) 1/3) (-.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (+.f64 (*.f64 -1075124518695320443933/100000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) 1/3) x)) (cbrt.f64 12286892763167777/1000000000000000))))
(fma.f64 1/3 (/.f64 (-.f64 (-.f64 (/.f64 1242728615757089901547577161584615474899131197318642480083047237/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) 9002515688962273068793241896453/100000000000000000000000000000) (*.f64 -1075124518695320443933/50000000000000000000 (*.f64 (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 5)))))) (/.f64 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2) (pow.f64 x 3))) (fma.f64 1/3 (/.f64 (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))))) (/.f64 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2) (*.f64 x x))) (fma.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) x) (cbrt.f64 12286892763167777/1000000000000000))))
(fma.f64 1/3 (*.f64 (/.f64 (-.f64 (/.f64 1242728615757089901547577161584615474899131197318642480083047237/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) (fma.f64 -1075124518695320443933/50000000000000000000 (*.f64 (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))) -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 5)))) 9002515688962273068793241896453/100000000000000000000000000000)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) (pow.f64 x 3)) (fma.f64 1/3 (*.f64 (/.f64 (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))) -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) (*.f64 x x)) (fma.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) x) (cbrt.f64 12286892763167777/1000000000000000))))
(fma.f64 1/3 (fma.f64 (/.f64 (-.f64 (/.f64 1242728615757089901547577161584615474899131197318642480083047237/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))) -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 292879563464098765674382971/5000000000000000000000000) (*.f64 -1075124518695320443933/50000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 5)))) 9002515688962273068793241896453/100000000000000000000000000000)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) (pow.f64 x 3) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))) -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 292879563464098765674382971/5000000000000000000000000) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (*.f64 -1075124518695320443933/100000000000000000000 x) (cbrt.f64 12286892763167777/1000000000000000)))
(fma.f64 1/3 (fma.f64 (/.f64 (+.f64 (/.f64 1242728615757089901547577161584615474899131197318642480083047237/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) (fma.f64 (*.f64 1075124518695320443933/50000000000000000000 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))) -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 292879563464098765674382971/5000000000000000000000000)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 5))) -9002515688962273068793241896453/100000000000000000000000000000)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) (pow.f64 x 3) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))) -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 292879563464098765674382971/5000000000000000000000000) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)))) (fma.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) x) (cbrt.f64 12286892763167777/1000000000000000)))
(*.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) x)
(*.f64 x (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000))
(+.f64 (*.f64 97626521154699588558127657/5000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2)) 1/3)) (*.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) x))
(fma.f64 97626521154699588558127657/5000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2))) (*.f64 x (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000)))
(+.f64 (*.f64 97626521154699588558127657/5000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2)) 1/3)) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000)) 1/3)) 3225373556085961331799/100000000000000000000) (*.f64 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2) x))) (*.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) x)))
(fma.f64 97626521154699588558127657/5000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2))) (fma.f64 -1/3 (/.f64 (fma.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000))) 3225373556085961331799/100000000000000000000) (*.f64 x (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2))) (*.f64 x (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000))))
(fma.f64 x (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) (fma.f64 97626521154699588558127657/5000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2))) (/.f64 (+.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000))) -9530937632769006286054781553636575490117113508309649/25000000000000000000000000000000000000000000000000)) (*.f64 x (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2)))))
(+.f64 (*.f64 97626521154699588558127657/5000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2)) 1/3)) (+.f64 (*.f64 1/3 (/.f64 (-.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -97626521154699588558127657/2500000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 5)) 1/3) (+.f64 (*.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000)) 1/3)) 3225373556085961331799/100000000000000000000))) (*.f64 930472284429645810697199600109090515885608806608392861888557494720526426862393/125000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2))))) (*.f64 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000)) 1/3)) 3225373556085961331799/100000000000000000000) (*.f64 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2) x))) (*.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) x))))
(fma.f64 97626521154699588558127657/5000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2))) (fma.f64 1/3 (/.f64 (-.f64 12286892763167777/1000000000000000 (fma.f64 -97626521154699588558127657/2500000000000000000000000 (*.f64 (fma.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000))) 3225373556085961331799/100000000000000000000) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 5)))) (/.f64 930472284429645810697199600109090515885608806608392861888557494720526426862393/125000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2)))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2))) (fma.f64 -1/3 (/.f64 (fma.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000))) 3225373556085961331799/100000000000000000000) (*.f64 x (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2))) (*.f64 x (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000)))))
(fma.f64 1/3 (/.f64 (-.f64 12286892763167777/1000000000000000 (fma.f64 (fma.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000))) 3225373556085961331799/100000000000000000000) (*.f64 -97626521154699588558127657/2500000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 5)))) (/.f64 930472284429645810697199600109090515885608806608392861888557494720526426862393/125000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2)))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2))) (fma.f64 x (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) (fma.f64 97626521154699588558127657/5000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2))) (/.f64 (+.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000))) -9530937632769006286054781553636575490117113508309649/25000000000000000000000000000000000000000000000000)) (*.f64 x (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2))))))
(fma.f64 97626521154699588558127657/5000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2))) (fma.f64 x (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) (fma.f64 1/3 (/.f64 (-.f64 12286892763167777/1000000000000000 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 5))) (*.f64 (fma.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000))) 3225373556085961331799/100000000000000000000) -97626521154699588558127657/2500000000000000000000000) (/.f64 930472284429645810697199600109090515885608806608392861888557494720526426862393/125000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2)))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2))) (/.f64 (+.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000))) -9530937632769006286054781553636575490117113508309649/25000000000000000000000000000000000000000000000000)) (*.f64 x (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2))))))
(*.f64 -1 (*.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) x))
(neg.f64 (*.f64 x (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000)))
(*.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) (neg.f64 x))
(+.f64 (*.f64 97626521154699588558127657/5000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2)) 1/3)) (*.f64 -1 (*.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) x)))
(fma.f64 97626521154699588558127657/5000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))) (neg.f64 (*.f64 x (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000))))
(fma.f64 97626521154699588558127657/5000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))) (*.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) (neg.f64 x)))
(-.f64 (*.f64 97626521154699588558127657/5000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2)))) (*.f64 x (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000)))
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(fma.f64 -1/3 (/.f64 (+.f64 3225373556085961331799/100000000000000000000 (*.f64 -28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000))))) (*.f64 x (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))) (fma.f64 97626521154699588558127657/5000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))) (neg.f64 (*.f64 x (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000)))))
(fma.f64 -1/3 (/.f64 (+.f64 3225373556085961331799/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000))) -28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000)) (*.f64 x (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))) (fma.f64 97626521154699588558127657/5000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))) (*.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) (neg.f64 x))))
(-.f64 (fma.f64 97626521154699588558127657/5000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))) (/.f64 (+.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000))) 9530937632769006286054781553636575490117113508309649/25000000000000000000000000000000000000000000000000)) (*.f64 x (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2)))) (*.f64 x (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000)))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 97626521154699588558127657/2500000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 5)) 1/3) (-.f64 3225373556085961331799/100000000000000000000 (*.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000)) 1/3))))) (*.f64 930472284429645810697199600109090515885608806608392861888557494720526426862393/125000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))))) (*.f64 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 3225373556085961331799/100000000000000000000 (*.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2) x))) (+.f64 (*.f64 97626521154699588558127657/5000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2)) 1/3)) (*.f64 -1 (*.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) x)))))
(fma.f64 1/3 (/.f64 (-.f64 12286892763167777/1000000000000000 (fma.f64 97626521154699588558127657/2500000000000000000000000 (*.f64 (+.f64 3225373556085961331799/100000000000000000000 (*.f64 -28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 5)))) (/.f64 930472284429645810697199600109090515885608806608392861888557494720526426862393/125000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2)))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))) (fma.f64 -1/3 (/.f64 (+.f64 3225373556085961331799/100000000000000000000 (*.f64 -28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000))))) (*.f64 x (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))) (fma.f64 97626521154699588558127657/5000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))) (neg.f64 (*.f64 x (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000))))))
(fma.f64 1/3 (/.f64 (-.f64 12286892763167777/1000000000000000 (fma.f64 (*.f64 97626521154699588558127657/2500000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 5)))) (+.f64 3225373556085961331799/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000))) -28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000)) (/.f64 930472284429645810697199600109090515885608806608392861888557494720526426862393/125000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2)))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))) (fma.f64 -1/3 (/.f64 (+.f64 3225373556085961331799/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000))) -28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000)) (*.f64 x (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))) (fma.f64 97626521154699588558127657/5000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))) (*.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) (neg.f64 x)))))
(-.f64 (fma.f64 1/3 (/.f64 (-.f64 12286892763167777/1000000000000000 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000))) -28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 3225373556085961331799/100000000000000000000) (*.f64 97626521154699588558127657/2500000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 5)))) (/.f64 930472284429645810697199600109090515885608806608392861888557494720526426862393/125000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2)))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))) (fma.f64 97626521154699588558127657/5000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))) (/.f64 (+.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000))) 9530937632769006286054781553636575490117113508309649/25000000000000000000000000000000000000000000000000)) (*.f64 x (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))))) (*.f64 x (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000)))
(-.f64 (fma.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 (+.f64 12286892763167777/1000000000000000 (fma.f64 -97626521154699588558127657/2500000000000000000000000 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000))) -28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 3225373556085961331799/100000000000000000000) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 5)))) (/.f64 -930472284429645810697199600109090515885608806608392861888557494720526426862393/125000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2)))) (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2)) (fma.f64 97626521154699588558127657/5000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))) (/.f64 (+.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000))) 9530937632769006286054781553636575490117113508309649/25000000000000000000000000000000000000000000000000)) (*.f64 x (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))))) (*.f64 x (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000)))
(*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2))
(*.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000))
(*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000)
(*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000)

localize24.0ms (0.5%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)
0.1b
(-.f64 x (/.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (-.f64 230753/100000 (*.f64 -20191289437/10000000000 x))))
0.0b
(-.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
0.0b
(-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000))
0.1b
(-.f64 x (/.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (-.f64 230753/100000 (*.f64 -20191289437/10000000000 x))))
0.2b
(*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)
0.6b
(*.f64 -20191289437/10000000000 x)
13.4b
(/.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (-.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
Compiler

Compiled 57 to 37 computations (35.1% saved)

series11.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (-.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
2.0ms
x
@inf
(-.f64 x (/.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (-.f64 230753/100000 (*.f64 -20191289437/10000000000 x))))
1.0ms
x
@-inf
(-.f64 x (/.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (-.f64 230753/100000 (*.f64 -20191289437/10000000000 x))))
1.0ms
x
@0
(-.f64 x (/.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (-.f64 230753/100000 (*.f64 -20191289437/10000000000 x))))
1.0ms
x
@-inf
(*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)

rewrite95.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
650×log-prod_binary64
471×fma-def_binary64
232×expm1-udef_binary64
232×log1p-udef_binary64
227×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01348
131224
2465820
Stop Event
node limit
Counts
3 → 202
Calls
Call 1
Inputs
(/.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (-.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)
(-.f64 x (/.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (-.f64 230753/100000 (*.f64 -20191289437/10000000000 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 230753/100000 (*.f64 x -20191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -20191289437/10000000000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 53246947009/10000000000 (fma.f64 x -20191289437/10000000000 230753/100000)) (neg.f64 (*.f64 407688169128707776969/100000000000000000000 (/.f64 (*.f64 x x) (fma.f64 x -20191289437/10000000000 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x -20191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x -20191289437/10000000000 230753/100000))) (cbrt.f64 (exp.f64 (fma.f64 x -20191289437/10000000000 230753/100000))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -20191289437/10000000000 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -20191289437/10000000000 230753/100000)))) (log.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 407688169128707776969/100000000000000000000) 53246947009/10000000000) (/.f64 1 (fma.f64 x -20191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -20191289437/10000000000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -20191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000)) 2) (cbrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 407688169128707776969/100000000000000000000) 53246947009/10000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 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-20191289437/10000000000 230753/100000) 2)) (/.f64 1 (+.f64 x (fma.f64 x -20191289437/10000000000 230753/100000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x -20191289437/10000000000 230753/100000))) (fma.f64 x (*.f64 x 407688169128707776969/100000000000000000000) 53246947009/10000000000) (fma.f64 x -20191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x -20191289437/10000000000 230753/100000) 2)) (/.f64 1 (+.f64 x (fma.f64 x -20191289437/10000000000 230753/100000))) (fma.f64 (+.f64 -230753/100000 (*.f64 x -20191289437/10000000000)) 1 (fma.f64 x -20191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x -20191289437/10000000000 230753/100000) 2)) (/.f64 1 (+.f64 x (fma.f64 x -20191289437/10000000000 230753/100000))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000))) (pow.f64 (cbrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000)) 2) (fma.f64 x -20191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x -20191289437/10000000000 230753/100000) 2)) (/.f64 1 (+.f64 x (fma.f64 x -20191289437/10000000000 230753/100000))) (+.f64 (+.f64 -230753/100000 (*.f64 x -20191289437/10000000000)) (fma.f64 x -20191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 -230753/100000 (*.f64 x -20191289437/10000000000))) (cbrt.f64 (+.f64 -230753/100000 (*.f64 x -20191289437/10000000000)))) (cbrt.f64 (+.f64 -230753/100000 (*.f64 x -20191289437/10000000000))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 -230753/100000 (*.f64 x -20191289437/10000000000))) (sqrt.f64 (+.f64 -230753/100000 (*.f64 x -20191289437/10000000000))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 -230753/100000 (*.f64 x -20191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (+.f64 -230753/100000 (*.f64 x -20191289437/10000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000))) (sqrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (fma.f64 x -20191289437/10000000000 230753/100000) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x -20191289437/10000000000 230753/100000))) (fma.f64 x (*.f64 x 407688169128707776969/100000000000000000000) 53246947009/10000000000) (fma.f64 x -20191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000))) (fma.f64 (+.f64 -230753/100000 (*.f64 x -20191289437/10000000000)) 1 (fma.f64 x -20191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000))) (pow.f64 (cbrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000)) 2) (fma.f64 x -20191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000))) (+.f64 (+.f64 -230753/100000 (*.f64 x -20191289437/10000000000)) (fma.f64 x -20191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000)) 2)) (cbrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (fma.f64 x -20191289437/10000000000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (fma.f64 x -20191289437/10000000000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (fma.f64 x -20191289437/10000000000 230753/100000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (fma.f64 x -20191289437/10000000000 230753/100000))))))))

simplify157.0ms (3.2%)

Algorithm
egg-herbie
Rules
1125×sqr-pow_binary64
587×associate-*l*_binary64
565×cube-prod_binary64
557×fabs-mul_binary64
541×pow-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014210
126192
241192
371192
4158192
5458192
61628192
72542192
82706192
92919192
103139192
113437192
123837192
134325192
144886192
155574192
166409192
176801192
187089192
197365192
207437192
217473192
Stop Event
node limit
Counts
238 → 212
Calls
Call 1
Inputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(*.f64 -20191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(*.f64 -20191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
-230753/100000
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
Outputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(*.f64 -20191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(*.f64 -20191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
-230753/100000
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(*.f64 30191289437/10000000000 x)
(*.f64 x 30191289437/10000000000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(*.f64 30191289437/10000000000 x)
(*.f64 x 30191289437/10000000000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)

eval305.0ms (6.1%)

Compiler

Compiled 10629 to 8249 computations (22.4% saved)

prune78.0ms (1.6%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New5544558
Fresh112
Picked101
Done178
Total55712569
Error
0b
Counts
569 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
24.3b
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
34.0b
x
28.7b
-230753/100000
24.3b
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
34.9b
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
0.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
1.1b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
27.6b
(-.f64 x (cbrt.f64 (+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (fma.f64 (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x x)) x (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000)))))))
1.6b
(-.f64 x 230753/100000)
24.3b
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
34.0b
(-.f64 x (/.f64 27061/4481 x))
27.3b
(/.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (-.f64 (*.f64 30191289437/10000000000 x) -230753/100000))
Compiler

Compiled 118 to 89 computations (24.6% saved)

localize19.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.4b
(*.f64 30191289437/10000000000 x)
0.2b
(*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000)
0.0b
(-.f64 (*.f64 30191289437/10000000000 x) -230753/100000)
0.0b
(+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000)
0.0b
(-.f64 (*.f64 30191289437/10000000000 x) -230753/100000)
0.2b
(*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000)
0.4b
(*.f64 30191289437/10000000000 x)
13.5b
(/.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (-.f64 (*.f64 30191289437/10000000000 x) -230753/100000))
Compiler

Compiled 42 to 27 computations (35.7% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (-.f64 (*.f64 30191289437/10000000000 x) -230753/100000))
1.0ms
x
@inf
(/.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (-.f64 (*.f64 30191289437/10000000000 x) -230753/100000))
1.0ms
x
@inf
(*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000)
0.0ms
x
@-inf
(/.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (-.f64 (*.f64 30191289437/10000000000 x) -230753/100000))
0.0ms
x
@0
(*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000)

rewrite81.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
562×log-prod_binary64
320×pow2_binary64
318×prod-diff_binary64
282×fma-def_binary64
243×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01227
127417
2352417
Stop Event
node limit
Counts
3 → 120
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (-.f64 (*.f64 30191289437/10000000000 x) -230753/100000))
(*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000)
(-.f64 (*.f64 30191289437/10000000000 x) -230753/100000)
Outputs
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30191289437/10000000000)) (pow.f64 (cbrt.f64 (*.f64 x 30191289437/10000000000)) 2) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 30191289437/10000000000)) 2) (cbrt.f64 (*.f64 x 30191289437/10000000000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 30191289437/10000000000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 911513957868707776969/100000000000000000000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 30191289437/10000000000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 30191289437/10000000000)) (sqrt.f64 (*.f64 x 30191289437/10000000000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 830857695389476376278026514432421846826961/10000000000000000000000000000000000000000))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 30191289437/10000000000)) 2)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 30191289437/10000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 30191289437/10000000000 (sqrt.f64 x)) (sqrt.f64 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 30191289437/10000000000 230753/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 30191289437/10000000000 230753/100000)))))))

simplify154.0ms (3.1%)

Algorithm
egg-herbie
Rules
1125×sqr-pow_binary64
565×cube-prod_binary64
559×fabs-mul_binary64
541×pow-sqr_binary64
509×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012192
124192
238192
363192
4140192
5403192
61427192
72336192
82500192
92713192
102933192
113232192
123634192
134122192
144681192
155369192
166202192
176596192
186884192
197160192
207234192
217270192
Stop Event
node limit
Counts
156 → 127
Calls
Call 1
Inputs
-230753/100000
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
230753/100000
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(*.f64 30191289437/10000000000 x)
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(*.f64 30191289437/10000000000 x)
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
Outputs
-230753/100000
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 911513957868707776969/100000000000000000000))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 911513957868707776969/100000000000000000000))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 911513957868707776969/100000000000000000000))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 911513957868707776969/100000000000000000000))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 911513957868707776969/100000000000000000000))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 911513957868707776969/100000000000000000000))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 911513957868707776969/100000000000000000000))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 911513957868707776969/100000000000000000000))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 911513957868707776969/100000000000000000000))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 911513957868707776969/100000000000000000000))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 911513957868707776969/100000000000000000000))
(*.f64 911513957868707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 911513957868707776969/100000000000000000000))
230753/100000
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x 230753/100000)
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x 230753/100000)
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x 230753/100000)
(*.f64 30191289437/10000000000 x)
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x 230753/100000)
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x 230753/100000)
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x 230753/100000)
(*.f64 30191289437/10000000000 x)
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x 230753/100000)
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x 230753/100000)
(+.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x 230753/100000)

localize14.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
3.8b
(-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1)
0.4b
(*.f64 30191289437/10000000000 x)
0.0b
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
0.0b
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
0.4b
(*.f64 30191289437/10000000000 x)
3.8b
(-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1)
Compiler

Compiled 29 to 24 computations (17.2% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1)
0.0ms
x
@0
(-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1)
0.0ms
x
@-inf
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
0.0ms
x
@inf
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)

rewrite67.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
523×unpow-prod-down_binary64
488×fma-def_binary64
438×prod-diff_binary64
355×log-prod_binary64
294×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0920
121211
227939
Stop Event
node limit
Counts
2 → 166
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1)
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 30191289437/10000000000 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 30191289437/10000000000 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 30191289437/10000000000 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 30191289437/10000000000 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 30191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 30191289437/10000000000 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 30191289437/10000000000 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 30191289437/10000000000) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 30191289437/10000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 30191289437/10000000000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 30191289437/10000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 30191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 30191289437/10000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 30191289437/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (cbrt.f64 30191289437/10000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (sqrt.f64 30191289437/10000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 27519781727879580139643921576453/1000000000000000000000000000000 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 30191289437/10000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 30191289437/10000000000 x)) (cbrt.f64 (*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))) (cbrt.f64 (*.f64 30191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 30191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (*.f64 (cbrt.f64 x) 30191289437/10000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 30191289437/10000000000 x)) (sqrt.f64 (*.f64 30191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 30191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) 30191289437/10000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 30191289437/10000000000 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 30191289437/10000000000 x 1) 2) (fma.f64 30191289437/10000000000 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 30191289437/10000000000 x 1) 3) -1) (pow.f64 (/.f64 1 (+.f64 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1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 911513957868707776969/100000000000000000000 (*.f64 x x) (fma.f64 (*.f64 30191289437/10000000000 x) 230753/100000 53246947009/10000000000)) (fma.f64 27519781727879580139643921576453/1000000000000000000000000000000 (pow.f64 x 3) -12286892763167777/1000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 30191289437/10000000000 x 230753/100000) (fma.f64 911513957868707776969/100000000000000000000 (*.f64 x x) -53246947009/10000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 30191289437/10000000000 x -230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 30191289437/10000000000 x) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 30191289437/10000000000 x 1) -330753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 30191289437/10000000000 x -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 30191289437/10000000000 -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 30191289437/10000000000 x) 1 -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 30191289437/10000000000 x 1) 1 -330753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 30191289437/10000000000 x)) (cbrt.f64 (*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))) (cbrt.f64 (*.f64 30191289437/10000000000 x)) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x 1)) (pow.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x 1)) 2) -330753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x 1)) 2) (cbrt.f64 (fma.f64 30191289437/10000000000 x 1)) -330753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x 1)) 1) -330753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 30191289437/10000000000) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 30191289437/10000000000 x)) (sqrt.f64 (*.f64 30191289437/10000000000 x)) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x 1)) (sqrt.f64 (fma.f64 30191289437/10000000000 x 1)) -330753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x 1)) (*.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x 1)) 1) -330753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 30191289437/10000000000) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 30191289437/10000000000 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 30191289437/10000000000 x 1) 2) (fma.f64 30191289437/10000000000 x 2))) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 27519781727879580139643921576453/1000000000000000000000000000000 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 (*.f64 30191289437/10000000000 x) (fma.f64 30191289437/10000000000 x -1) 1)) -330753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 30191289437/10000000000 x 1) 2) -1) (/.f64 1 (fma.f64 30191289437/10000000000 x 2)) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))) (/.f64 1 (+.f64 1 (*.f64 -30191289437/10000000000 x))) -330753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x 1)) 1) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 30191289437/10000000000 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 30191289437/10000000000 (sqrt.f64 x)) (sqrt.f64 x) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))))

simplify13.0ms (0.3%)

Algorithm
egg-herbie
Rules
fma-neg_binary64
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07102
111102
213102
Stop Event
saturated
Counts
190 → 168
Calls
Call 1
Inputs
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
-230753/100000
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
Outputs
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
-230753/100000
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)

localize57.0ms (1.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000))
0.1b
(-.f64 x (cbrt.f64 (+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (fma.f64 (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x x)) x (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000)))))))
0.0b
(+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (fma.f64 (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x x)) x (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000)))))
0.0b
(+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (fma.f64 (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x x)) x (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000))))
0.3b
(*.f64 x 292879563464098765674382971/5000000000000000000000000)
0.7b
(*.f64 -3225373556085961331799/100000000000000000000 x)
6.3b
(fma.f64 (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x x)) x (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000)))
17.5b
(cbrt.f64 (+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (fma.f64 (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x x)) x (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000))))))
Compiler

Compiled 111 to 66 computations (40.5% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(cbrt.f64 (+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (fma.f64 (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x x)) x (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000))))))
1.0ms
x
@0
(cbrt.f64 (+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (fma.f64 (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x x)) x (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000))))))
1.0ms
x
@-inf
(cbrt.f64 (+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (fma.f64 (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x x)) x (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000))))))
0.0ms
x
@-inf
(*.f64 x 292879563464098765674382971/5000000000000000000000000)
0.0ms
x
@inf
(fma.f64 (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x x)) x (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000)))

rewrite86.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
725×log-prod_binary64
469×fma-def_binary64
280×expm1-udef_binary64
280×log1p-udef_binary64
277×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01547
132945
2416739
Stop Event
node limit
Counts
3 → 70
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (fma.f64 (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x x)) x (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000))))))
(fma.f64 (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x x)) x (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000)))
(*.f64 x 292879563464098765674382971/5000000000000000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 -3225373556085961331799/100000000000000000000 x (fma.f64 x (fma.f64 x (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000) (*.f64 x 292879563464098765674382971/5000000000000000000000000)) 12286892763167777/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 -3225373556085961331799/100000000000000000000 x (fma.f64 x (fma.f64 x (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000) (*.f64 x 292879563464098765674382971/5000000000000000000000000)) 12286892763167777/1000000000000000))))) (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 -3225373556085961331799/100000000000000000000 x (fma.f64 x (fma.f64 x (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000) (*.f64 x 292879563464098765674382971/5000000000000000000000000)) 12286892763167777/1000000000000000))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 -3225373556085961331799/100000000000000000000 x (fma.f64 x (fma.f64 x (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000) (*.f64 x 292879563464098765674382971/5000000000000000000000000)) 12286892763167777/1000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 -3225373556085961331799/100000000000000000000 x (fma.f64 x (fma.f64 x (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000) (*.f64 x 292879563464098765674382971/5000000000000000000000000)) 12286892763167777/1000000000000000)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 -3225373556085961331799/100000000000000000000 x (fma.f64 x (fma.f64 x (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000) (*.f64 x 292879563464098765674382971/5000000000000000000000000)) 12286892763167777/1000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 -3225373556085961331799/100000000000000000000 x (fma.f64 x (fma.f64 x (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000) (*.f64 x 292879563464098765674382971/5000000000000000000000000)) 12286892763167777/1000000000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -3225373556085961331799/100000000000000000000 x (fma.f64 x (fma.f64 x (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000) (*.f64 x 292879563464098765674382971/5000000000000000000000000)) 12286892763167777/1000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 -3225373556085961331799/100000000000000000000 x (fma.f64 x (fma.f64 x (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000) (*.f64 x 292879563464098765674382971/5000000000000000000000000)) 12286892763167777/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 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simplify62.0ms (1.2%)

Algorithm
egg-herbie
Rules
674×cancel-sign-sub-inv_binary64
415×div-sub_binary64
298×fma-def_binary64
290×associate-*r*_binary64
290×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0113745
1331743
21054715
34722715
Stop Event
node limit
Counts
106 → 101
Calls
Call 1
Inputs
(cbrt.f64 12286892763167777/1000000000000000)
(+.f64 (*.f64 -1075124518695320443933/100000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) 1/3) x)) (cbrt.f64 12286892763167777/1000000000000000))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (+.f64 (*.f64 -1075124518695320443933/100000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) 1/3) x)) (cbrt.f64 12286892763167777/1000000000000000)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1242728615757089901547577161584615474899131197318642480083047237/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (+.f64 9002515688962273068793241896453/100000000000000000000000000000 (*.f64 -1075124518695320443933/50000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 5)) 1/3) (-.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (+.f64 (*.f64 -1075124518695320443933/100000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) 1/3) x)) (cbrt.f64 12286892763167777/1000000000000000))))
(*.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) x)
(+.f64 (*.f64 97626521154699588558127657/5000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2)) 1/3)) (*.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) x))
(+.f64 (*.f64 97626521154699588558127657/5000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2)) 1/3)) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000)) 1/3)) 3225373556085961331799/100000000000000000000) (*.f64 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2) x))) (*.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) x)))
(+.f64 (*.f64 97626521154699588558127657/5000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2)) 1/3)) (+.f64 (*.f64 1/3 (/.f64 (-.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -97626521154699588558127657/2500000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 5)) 1/3) (+.f64 (*.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000)) 1/3)) 3225373556085961331799/100000000000000000000))) (*.f64 930472284429645810697199600109090515885608806608392861888557494720526426862393/125000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2))))) (*.f64 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000)) 1/3)) 3225373556085961331799/100000000000000000000) (*.f64 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2) x))) (*.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) x))))
(*.f64 -1 (*.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) x))
(+.f64 (*.f64 97626521154699588558127657/5000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2)) 1/3)) (*.f64 -1 (*.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) x)))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 3225373556085961331799/100000000000000000000 (*.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2) x))) (+.f64 (*.f64 97626521154699588558127657/5000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2)) 1/3)) (*.f64 -1 (*.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) x))))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 97626521154699588558127657/2500000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 5)) 1/3) (-.f64 3225373556085961331799/100000000000000000000 (*.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000)) 1/3))))) (*.f64 930472284429645810697199600109090515885608806608392861888557494720526426862393/125000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2))))) (*.f64 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 3225373556085961331799/100000000000000000000 (*.f64 28592812898307018858164344660909726470351340524928947/25000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000)) 1/3))) (*.f64 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2) x))) (+.f64 (*.f64 97626521154699588558127657/5000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) 2)) 1/3)) (*.f64 -1 (*.f64 (cbrt.f64 9002515688962273068793241896453/100000000000000000000000000000) x)))))
(*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2))
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
(*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
(*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
Outputs
(cbrt.f64 12286892763167777/1000000000000000)
(+.f64 (*.f64 -1075124518695320443933/100000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) 1/3) x)) (cbrt.f64 12286892763167777/1000000000000000))
(fma.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) x) (cbrt.f64 12286892763167777/1000000000000000))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (*.f64 -1075124518695320443933/100000000000000000000 x) (cbrt.f64 12286892763167777/1000000000000000))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (+.f64 (*.f64 -1075124518695320443933/100000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) 1/3) x)) (cbrt.f64 12286892763167777/1000000000000000)))
(fma.f64 1/3 (/.f64 (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))))) (/.f64 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2) (*.f64 x x))) (fma.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) x) (cbrt.f64 12286892763167777/1000000000000000)))
(fma.f64 1/3 (*.f64 (/.f64 (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))) -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) (*.f64 x x)) (fma.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) x) (cbrt.f64 12286892763167777/1000000000000000)))
(fma.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) x) (fma.f64 1/3 (*.f64 (*.f64 x x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))) -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 292879563464098765674382971/5000000000000000000000000) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (cbrt.f64 12286892763167777/1000000000000000)))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1242728615757089901547577161584615474899131197318642480083047237/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (+.f64 9002515688962273068793241896453/100000000000000000000000000000 (*.f64 -1075124518695320443933/50000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 5)) 1/3) (-.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (+.f64 (*.f64 -1075124518695320443933/100000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) 1/3) x)) (cbrt.f64 12286892763167777/1000000000000000))))
(fma.f64 1/3 (/.f64 (-.f64 (-.f64 (/.f64 1242728615757089901547577161584615474899131197318642480083047237/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) 9002515688962273068793241896453/100000000000000000000000000000) (*.f64 (*.f64 -1075124518695320443933/50000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 5)))) (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))))))) (/.f64 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2) (pow.f64 x 3))) (fma.f64 1/3 (/.f64 (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))))) (/.f64 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2) (*.f64 x x))) (fma.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) x) (cbrt.f64 12286892763167777/1000000000000000))))
(fma.f64 1/3 (*.f64 (/.f64 (-.f64 (/.f64 1242728615757089901547577161584615474899131197318642480083047237/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) (fma.f64 -1075124518695320443933/50000000000000000000 (*.f64 (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))) -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 5)))) 9002515688962273068793241896453/100000000000000000000000000000)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) (pow.f64 x 3)) (fma.f64 1/3 (*.f64 (/.f64 (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))) -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) (*.f64 x x)) (fma.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) x) (cbrt.f64 12286892763167777/1000000000000000))))
(fma.f64 1/3 (fma.f64 (/.f64 (-.f64 (/.f64 1242728615757089901547577161584615474899131197318642480083047237/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))) -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 292879563464098765674382971/5000000000000000000000000) (*.f64 -1075124518695320443933/50000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 5)))) 9002515688962273068793241896453/100000000000000000000000000000)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) (pow.f64 x 3) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))) -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 292879563464098765674382971/5000000000000000000000000) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) (*.f64 -1075124518695320443933/100000000000000000000 x) (cbrt.f64 12286892763167777/1000000000000000)))
(fma.f64 1/3 (fma.f64 (/.f64 (+.f64 (/.f64 1242728615757089901547577161584615474899131197318642480083047237/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))) -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 292879563464098765674382971/5000000000000000000000000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 5))) 1075124518695320443933/50000000000000000000) -9002515688962273068793241896453/100000000000000000000000000000)) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)) (pow.f64 x 3) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 12286892763167777/1000000000000000))) -3467678192099533316284487455017552589525467/10000000000000000000000000000000000000000 292879563464098765674382971/5000000000000000000000000) (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2)))) (fma.f64 -1075124518695320443933/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 12286892763167777/1000000000000000) 2))) x) (cbrt.f64 12286892763167777/1000000000000000)))
(*.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) x)
(*.f64 x (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000))
(+.f64 (*.f64 97626521154699588558127657/5000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2)) 1/3)) (*.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) x))
(fma.f64 97626521154699588558127657/5000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000) 2))) (*.f64 x (cbrt.f64 -9002515688962273068793241896453/100000000000000000000000000000)))
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(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x x) (*.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000))
(fma.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000)))
(*.f64 (*.f64 x x) (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000)))
(*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000)
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x x) (*.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000))
(fma.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000)))
(*.f64 (*.f64 x x) (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000)))
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x x) (*.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000))
(fma.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000)))
(*.f64 (*.f64 x x) (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000)))
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x x) (*.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000))
(fma.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000)))
(*.f64 (*.f64 x x) (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000)))
(*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000)
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x x) (*.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000))
(fma.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000)))
(*.f64 (*.f64 x x) (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000)))
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x x) (*.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000))
(fma.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000)))
(*.f64 (*.f64 x x) (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000)))
(+.f64 (*.f64 292879563464098765674382971/5000000000000000000000000 (pow.f64 x 2)) (*.f64 -9002515688962273068793241896453/100000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x x) (*.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000))
(fma.f64 (pow.f64 x 3) -9002515688962273068793241896453/100000000000000000000000000000 (*.f64 x (*.f64 x 292879563464098765674382971/5000000000000000000000000)))
(*.f64 (*.f64 x x) (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000)))
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 x 292879563464098765674382971/5000000000000000000000000)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 x 292879563464098765674382971/5000000000000000000000000)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 x 292879563464098765674382971/5000000000000000000000000)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 x 292879563464098765674382971/5000000000000000000000000)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 x 292879563464098765674382971/5000000000000000000000000)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 x 292879563464098765674382971/5000000000000000000000000)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 x 292879563464098765674382971/5000000000000000000000000)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 x 292879563464098765674382971/5000000000000000000000000)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 x 292879563464098765674382971/5000000000000000000000000)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 x 292879563464098765674382971/5000000000000000000000000)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 x 292879563464098765674382971/5000000000000000000000000)
(*.f64 292879563464098765674382971/5000000000000000000000000 x)
(*.f64 x 292879563464098765674382971/5000000000000000000000000)

eval204.0ms (4.1%)

Compiler

Compiled 7358 to 5688 computations (22.7% saved)

prune58.0ms (1.2%)

Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New4322434
Fresh112
Picked101
Done099
Total43412446
Error
0b
Counts
446 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
24.3b
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
28.7b
-230753/100000
34.0b
x
27.6b
(-.f64 x (cbrt.f64 (+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (*.f64 (*.f64 x x) (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000)))))))
24.3b
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
34.9b
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
0.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
1.6b
(-.f64 x 230753/100000)
24.3b
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
34.0b
(-.f64 x (/.f64 27061/4481 x))
27.3b
(/.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (-.f64 (*.f64 30191289437/10000000000 x) -230753/100000))
1.1b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
Compiler

Compiled 115 to 88 computations (23.5% saved)

regimes18.0ms (0.4%)

Counts
12 → 1
Calls
Call 1
Inputs
x
-230753/100000
(-.f64 x 230753/100000)
(-.f64 x (/.f64 27061/4481 x))
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (-.f64 (*.f64 30191289437/10000000000 x) -230753/100000))
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
(-.f64 x (cbrt.f64 (+.f64 12286892763167777/1000000000000000 (+.f64 (*.f64 -3225373556085961331799/100000000000000000000 x) (*.f64 (*.f64 x x) (+.f64 292879563464098765674382971/5000000000000000000000000 (*.f64 x -9002515688962273068793241896453/100000000000000000000000000000)))))))
Outputs
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
Calls

2 calls:

8.0ms
x
6.0ms
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
Compiler

Compiled 124 to 91 computations (26.6% saved)

regimes10.0ms (0.2%)

Counts
10 → 1
Calls
Call 1
Inputs
x
-230753/100000
(-.f64 x 230753/100000)
(-.f64 x (/.f64 27061/4481 x))
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (-.f64 (*.f64 30191289437/10000000000 x) -230753/100000))
Outputs
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
1.1b1x
Compiler

Compiled 71 to 52 computations (26.8% saved)

regimes8.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
x
-230753/100000
(-.f64 x 230753/100000)
(-.f64 x (/.f64 27061/4481 x))
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
Outputs
(-.f64 x 230753/100000)
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
1.6b1x
Compiler

Compiled 45 to 32 computations (28.9% saved)

regimes10.0ms (0.2%)

Accuracy

Total -60.5b remaining (-5427.5%)

Threshold costs -60.5b (-5427.5%)

Counts
2 → 3
Calls
Call 1
Inputs
x
-230753/100000
Outputs
x
-230753/100000
x
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 5 to 3 computations (40% saved)

bsearch47.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
0.39211478482209317
244540.51927193906
24.0ms
-524.5358328543535
-1.5568591048494463e-5
Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02864
14464
25564
36464
47864
58364
68664
78764
Stop Event
saturated
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))))
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
(-.f64 x 230753/100000)
(if (<=.f64 x -4613865979268241/8796093022208) x (if (<=.f64 x 7233241083130843136/18446744073709551616) -230753/100000 x))
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 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
(+.f64 x (/.f64 (+.f64 -230753/100000 (*.f64 x -27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
(-.f64 x 230753/100000)
(+.f64 x -230753/100000)
(if (<=.f64 x -4613865979268241/8796093022208) x (if (<=.f64 x 7233241083130843136/18446744073709551616) -230753/100000 x))
(if (<=.f64 x -4613865979268241/8796093022208) x (if (<=.f64 x 1765927998811241/4503599627370496) -230753/100000 x))
x

end47.0ms (1%)

Stop Event
fuel
Compiler

Compiled 96 to 70 computations (27.1% saved)

Profiling

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