Details

Time bar (total: 7.7s)

analyze13.0ms (0.2%)

Algorithm
1×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 21 to 17 computations (19% saved)

sample1.3s (17.4%)

Results
1.3s8256×body256valid

preprocess84.0ms (1.1%)

Algorithm
2×egg-herbie
Rules
706×fma-def_binary64
684×fma-neg_binary64
659×associate-/l*_binary64
582×associate-/r*_binary64
298×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01728
13422
26922
310922
415522
519720
629420
753120
8116020
9232820
10487020
11609020
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Compiler

Compiled 21 to 17 computations (19% saved)

simplify74.0ms (1%)

Algorithm
1×egg-herbie
Rules
706×fma-def_binary64
684×fma-neg_binary64
659×associate-/l*_binary64
582×associate-/r*_binary64
298×distribute-rgt-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01728
13422
26922
310922
415522
519720
629420
753120
8116020
9232820
10487020
11609020
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

eval1.0ms (0%)

Compiler

Compiled 35 to 27 computations (22.9% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
▶0.1b
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Compiler

Compiled 36 to 28 computations (22.2% saved)

localize37.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
✓0.3b
(*.f64 x 4481/100000)
✓0.4b
(*.f64 x 27061/100000)
✓15.0b
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))
Compiler

Compiled 91 to 71 computations (22% saved)

series9.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite97.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
848×prod-diff_binary64
487×fma-def_binary64
273×expm1-udef_binary64
273×log1p-udef_binary64
225×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01440
131832
2428832
Stop Event
1×node limit
Counts
4 → 119
Calls
Call 1
Inputs
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))
(*.f64 x 27061/100000)
(*.f64 x 4481/100000)
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (cbrt.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 *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 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1))))))
((#(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 expm1.f64 (log1p.f64 (*.f64 x 27061/100000)))))) (#(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 -.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 expm1.f64 (log1p.f64 (*.f64 x 4481/100000)))))) (#(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 +.f64 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(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 (*.f64 x 99229/100000) 1) (*.f64 (*.f64 x (*.f64 x 4481/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 99229/100000) 3) (pow.f64 (*.f64 x (*.f64 x 4481/100000)) 3)) (fma.f64 (*.f64 x 99229/100000) (*.f64 x 99229/100000) (-.f64 (*.f64 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x (*.f64 x 4481/100000))) (*.f64 (*.f64 x 99229/100000) (*.f64 x (*.f64 x 4481/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 99229/100000) (*.f64 x 99229/100000)) (*.f64 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x (*.f64 x 4481/100000)))) (-.f64 (*.f64 x 99229/100000) (*.f64 x (*.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 89975616641/1000000000000000 (pow.f64 x 3) 977047873985989/1000000000000000) x) (fma.f64 (*.f64 x 4481/100000) (fma.f64 x 4481/100000 -99229/100000) 9846394441/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9846394441/10000000000 (pow.f64 (*.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (*.f64 -4481/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 89975616641/1000000000000000 (pow.f64 x 3) 977047873985989/1000000000000000)) (fma.f64 (*.f64 x 4481/100000) (fma.f64 x 4481/100000 -99229/100000) 9846394441/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 9846394441/10000000000 (pow.f64 (*.f64 x 4481/100000) 2))) (+.f64 99229/100000 (*.f64 -4481/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.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 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 1 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 99229/100000) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 99229/100000 x (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4481/100000 (*.f64 x x) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 4481/100000) x (*.f64 x 99229/100000))))) (#(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 (*.f64 x x) 4481/100000 (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 99229/100000) (*.f64 x (*.f64 x 4481/100000)))))) (#(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 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(cbrt.f64 x) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 4481/100000) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 99229/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 99229/100000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x 4481/100000)))))))

simplify74.0ms (1%)

Algorithm
1×egg-herbie
Rules
775×distribute-neg-frac_binary64
771×fma-def_binary64
417×times-frac_binary64
376×distribute-rgt-neg-in_binary64
352×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
047396
1113392
2262381
3686357
42069354
56004354
Stop Event
1×node limit
Counts
167 → 143
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 -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 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x 230753/100000)) (*.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 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) 230753/100000))
(fma.f64 x (fma.f64 x (fma.f64 x -179503363065659419717/100000000000000000000 1900161040244073/1000000000000000) -20191289437/10000000000) 230753/100000)
(/.f64 27061/4481 x)
(-.f64 (*.f64 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 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.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 (/.f64 -1651231776/20079361 x) x)))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.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 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 (/.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 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (+.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 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 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.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 (/.f64 -1651231776/20079361 x) x)))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.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 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 (/.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 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (+.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 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
✓0.1b
(fma.f64 x 4481/100000 99229/100000)
✓0.2b
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
✓15.0b
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
Compiler

Compiled 50 to 38 computations (24% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms
x
@inf
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
0.0ms
x
@-inf
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
0.0ms
x
@-inf
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
0.0ms
x
@0
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)

rewrite104.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
495×unpow-prod-down_binary64
418×log-prod_binary64
340×exp-prod_binary64
268×pow2_binary64
242×prod-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
122535
2250435
Stop Event
1×node limit
Counts
4 → 197
Calls
Call 1
Inputs
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(fma.f64 x 4481/100000 99229/100000)
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
Outputs
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1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (*.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 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(pow.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 1/3) (cbrt.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 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((x sqrt.f64 (pow.f64 (fma.f64 x 4481/100000 99229/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 4481/100000 99229/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 4481/100000 99229/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 4481/100000 99229/100000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 4481/100000 99229/100000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 4481/100000 99229/100000)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (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 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3)) 1/3) (pow.f64 (sqrt.f64 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#<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))) 2)) (cbrt.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))) (sqrt.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1) 1))))))

simplify70.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
861×fma-def_binary64
812×distribute-neg-frac_binary64
417×times-frac_binary64
385×distribute-rgt-neg-in_binary64
290×associate-*r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
054433
1130401
2289387
3723369
42133366
56188366
Stop Event
1×node limit
Counts
245 → 230
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
1
(+.f64 (*.f64 99229/100000 x) 1)
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
Outputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000))
(fma.f64 x (fma.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) -1427746267379707/1000000000000000) 16316775383/10000000000)
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -3648757816023/62748003125 x) x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -3648757816023/62748003125 x) x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
1
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (fma.f64 99229/100000 x 1) (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (fma.f64 (*.f64 x x) 4481/100000 1))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (fma.f64 99229/100000 x 1) (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (fma.f64 (*.f64 x x) 4481/100000 1))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 (*.f64 x x) 4481/100000 (*.f64 x 99229/100000))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (fma.f64 99229/100000 x 1) (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (fma.f64 (*.f64 x x) 4481/100000 1))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (fma.f64 99229/100000 x 1) (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (fma.f64 (*.f64 x x) 4481/100000 1))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 (*.f64 x x) 4481/100000 (*.f64 x 99229/100000))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (fma.f64 99229/100000 x 1) (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (fma.f64 (*.f64 x x) 4481/100000 1))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))
(+.f64 (fma.f64 99229/100000 x 1) (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (fma.f64 (*.f64 x x) 4481/100000 1))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)

eval208.0ms (2.7%)

Compiler

Compiled 8313 to 6536 computations (21.4% saved)

prune57.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New36310373
Fresh000
Picked101
Done011
Total36411375
Error
0.0b
Counts
375 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
16.5b
(fma.f64 x -70711/100000 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
▶1.3b
(*.f64 70711/100000 (-.f64 230753/100000 x))
0.1b
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
▶0.9b
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) 1)))
32.9b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
▶0.9b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
32.0b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
✓0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
▶0.1b
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))))
30.9b
(*.f64 70711/100000 (-.f64 (+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) x))
▶26.0b
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
Compiler

Compiled 310 to 244 computations (21.3% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))))
0.2b
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
✓0.2b
(*.f64 4481/100000 (pow.f64 x 2))
✓15.0b
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2)))))
Compiler

Compiled 77 to 62 computations (19.5% saved)

series4.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2)))))
0.0ms
x
@0
(*.f64 4481/100000 (pow.f64 x 2))
0.0ms
x
@inf
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2)))))
0.0ms
x
@inf
(*.f64 4481/100000 (pow.f64 x 2))
0.0ms
x
@-inf
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2)))))

rewrite113.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
717×log-prod_binary64
598×fma-def_binary64
303×expm1-udef_binary64
303×log1p-udef_binary64
301×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01753
137249
2455249
Stop Event
1×node limit
Counts
3 → 91
Calls
Call 1
Inputs
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2)))))
(*.f64 4481/100000 (pow.f64 x 2))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (*.f64 x 4481/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (*.f64 x 4481/100000) (fma.f64 x 99229/100000 1))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (*.f64 x 4481/100000) (fma.f64 x 99229/100000 1))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (*.f64 x 4481/100000) (fma.f64 x 99229/100000 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (*.f64 x 4481/100000) (fma.f64 x 99229/100000 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (*.f64 x 4481/100000) (fma.f64 x 99229/100000 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (*.f64 x 4481/100000) (fma.f64 x 99229/100000 1)))) (exp.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (*.f64 x 4481/100000) (fma.f64 x 99229/100000 1))))) (exp.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x -70711/100000)) (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (*.f64 x 4481/100000) (fma.f64 x 99229/100000 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (*.f64 x 4481/100000) (fma.f64 x 99229/100000 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (*.f64 x 4481/100000) (fma.f64 x 99229/100000 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (*.f64 x 4481/100000) (fma.f64 x 99229/100000 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (*.f64 x 4481/100000) (fma.f64 x 99229/100000 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (*.f64 x 4481/100000) (fma.f64 x 99229/100000 1))))) 1))))))

simplify70.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
810×distribute-neg-frac_binary64
703×associate-*r*_binary64
507×fma-def_binary64
417×times-frac_binary64
288×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051344
1135328
2328324
3881312
42508312
57231312
Stop Event
1×node limit
Counts
115 → 119
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
Outputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 16316775383/10000000000))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -3648757816023/62748003125 x) x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -3648757816023/62748003125 x) x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 16316775383/10000000000))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 230753/100000 x)
✓0.1b
(*.f64 70711/100000 (-.f64 230753/100000 x))
Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 70711/100000 (-.f64 230753/100000 x))
0.0ms
x
@inf
(*.f64 70711/100000 (-.f64 230753/100000 x))
0.0ms
x
@-inf
(*.f64 70711/100000 (-.f64 230753/100000 x))
0.0ms
x
@-inf
(-.f64 230753/100000 x)
0.0ms
x
@0
(-.f64 230753/100000 x)

rewrite69.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
667×pow1_binary64
629×add-log-exp_binary64
629×log1p-expm1-u_binary64
629×expm1-log1p-u_binary64
620×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
113311
2161611
Stop Event
1×node limit
Counts
2 → 45
Calls
Call 1
Inputs
(*.f64 70711/100000 (-.f64 230753/100000 x))
(-.f64 230753/100000 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 16316775383/10000000000 (*.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 16316775383/10000000000 (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 70711/100000 (-.f64 230753/100000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3)) 70711/100000) (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3))) (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 53246947009/10000000000 (*.f64 x x))) (+.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 230753/100000 x) 2) 5000045521/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 70711/100000) (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 230753/100000 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 230753/100000 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 230753/100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 230753/100000 x)) (pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 2) (cbrt.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 230753/100000 x)) (sqrt.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3)) (/.f64 1 (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (+.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x))) (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 230753/100000 x) (-.f64 53246947009/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3)) (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3))) (neg.f64 (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 53246947009/10000000000 (*.f64 x x))) (neg.f64 (+.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (neg.f64 x) 3)) (+.f64 53246947009/10000000000 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 230753/100000 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 230753/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 230753/100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 230753/100000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 230753/100000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 230753/100000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 230753/100000 x)))))))

simplify17.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
10×fma-def_binary64
7×sub-neg_binary64
5×+-commutative_binary64
3×*-commutative_binary64
3×associate-+l-_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010133
11597
22297
32697
43397
54397
65597
77097
87897
98097
Stop Event
1×saturated
Counts
69 → 54
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(*.f64 -70711/100000 x)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(*.f64 -70711/100000 x)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
230753/100000
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (*.f64 -1 x))
Outputs
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
(*.f64 -70711/100000 x)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
(*.f64 -70711/100000 x)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
230753/100000
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
✓0.1b
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
✓0.1b
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
✓0.6b
(*.f64 -20191289437/10000000000 x)
Compiler

Compiled 29 to 22 computations (24.1% saved)

series6.0ms (0.1%)

Counts
4 → 27
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 -20191289437/10000000000 x)
1.0ms
x
@0
(*.f64 -20191289437/10000000000 x)
0.0ms
x
@inf
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
0.0ms
x
@-inf
(*.f64 -20191289437/10000000000 x)
0.0ms
x
@-inf
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))

rewrite95.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
833×prod-diff_binary64
626×unpow-prod-down_binary64
438×log-prod_binary64
360×fma-def_binary64
263×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0934
120626
2277322
Stop Event
1×node limit
Counts
4 → 237
Calls
Call 1
Inputs
(*.f64 -20191289437/10000000000 x)
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -20191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -20191289437/10000000000) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -20191289437/10000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -20191289437/10000000000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -20191289437/10000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) 1/2)))) (#(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 (pow.f64 (*.f64 -20191289437/10000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -20191289437/10000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.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 expm1.f64 (log1p.f64 (*.f64 -20191289437/10000000000 x)))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 -20191289437/10000000000 x)) 1))))))
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53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) (pow.f64 (/.f64 1 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 -20191289437/10000000000 x 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) 2) 3) (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (cbrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 -20191289437/10000000000 x) (fma.f64 -20191289437/10000000000 x -230753/100000) 53246947009/10000000000) (fma.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3) 12286892763167777/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x)) (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3) 12286892763167777/1000000000000000) (fma.f64 (*.f64 -20191289437/10000000000 x) (fma.f64 -20191289437/10000000000 x -230753/100000) 53246947009/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3) 12286892763167777/1000000000000000) (fma.f64 407688169128707776969/100000000000000000000 (*.f64 x x) (-.f64 53246947009/10000000000 (*.f64 -4659200611456061/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) (+.f64 230753/100000 (*.f64 20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3) 12286892763167777/1000000000000000)) (neg.f64 (fma.f64 (*.f64 -20191289437/10000000000 x) (fma.f64 -20191289437/10000000000 x -230753/100000) 53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2))) (neg.f64 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 407688169128707776969/100000000000000000000 (*.f64 x x) -53246947009/10000000000) (fma.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 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) 1/2)))) (#(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 pow.f64 (/.f64 (fma.f64 (*.f64 -20191289437/10000000000 x) (fma.f64 -20191289437/10000000000 x -230753/100000) 53246947009/10000000000) (fma.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3) 12286892763167777/1000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x)) (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2))) -1)))) (#(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 log.f64 (+.f64 1 (expm1.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 expm1.f64 (log1p.f64 (fma.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 exp.f64 (*.f64 (log.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 1))))) (#(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 (*.f64 -20191289437/10000000000 x) 1 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 x) 2) (*.f64 (cbrt.f64 x) -20191289437/10000000000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) (cbrt.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.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 x) (*.f64 (sqrt.f64 x) -20191289437/10000000000) 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 fma.f64 (*.f64 -20191289437/10000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -20191289437/10000000000 (sqrt.f64 x)) (sqrt.f64 x) 230753/100000)))))

simplify17.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
3×*-commutative_binary64
2×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012135
118117
221117
Stop Event
1×saturated
Counts
264 → 247
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
230753/100000
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
230753/100000
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
Outputs
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
230753/100000
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(*.f64 -30191289437/10000000000 x)
(*.f64 x -30191289437/10000000000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(*.f64 -30191289437/10000000000 x)
(*.f64 x -30191289437/10000000000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
230753/100000
(*.f64 -20191289437/10000000000 x)
(*.f64 x -20191289437/10000000000)
(*.f64 -20191289437/10000000000 x)
(*.f64 x -20191289437/10000000000)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x 99229/100000)
✓0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
✓0.1b
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))
0.4b
(*.f64 x 27061/100000)
Compiler

Compiled 62 to 49 computations (21% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 x 99229/100000)
0.0ms
x
@0
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
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 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))

rewrite88.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
988×prod-diff_binary64
528×fma-def_binary64
271×expm1-udef_binary64
271×log1p-udef_binary64
251×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01442
131334
2417434
Stop Event
1×node limit
Counts
3 → 76
Calls
Call 1
Inputs
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
(*.f64 x 99229/100000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2)) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (*.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (*.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (neg.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 99229/100000 1)) (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 70711/100000) (*.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 70711/100000 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 3) (pow.f64 x 3)) 70711/100000) (fma.f64 x (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2) (*.f64 x x))) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 5000045521/10000000000 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 70711/100000) (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 70711/100000 (*.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 70711/100000 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) (*.f64 70711/100000 (neg.f64 x)))))))
((#(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 (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 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 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 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)) (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.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)))))

simplify62.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
573×fma-def_binary64
548×associate-/r/_binary64
449×fma-neg_binary64
431×associate-/r*_binary64
421×distribute-neg-frac_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
061320
1158304
2362301
3941288
42501288
55208284
Stop Event
1×node limit
Counts
112 → 107
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))))
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 (*.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) 16316775383/10000000000))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 (*.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) (+.f64 16316775383/10000000000 (*.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.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)
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 (fma.f64 -20191289437/10000000000 x 230753/100000) (*.f64 x (*.f64 x 2003561459544073/1000000000000000)))
(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 (fma.f64 2003561459544073/1000000000000000 (*.f64 x x) (*.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3))) (fma.f64 -20191289437/10000000000 x 230753/100000))
(+.f64 230753/100000 (fma.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3) (*.f64 x (+.f64 -20191289437/10000000000 (*.f64 x 2003561459544073/1000000000000000)))))
(fma.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3) (fma.f64 x (fma.f64 x 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 27061/99229 (+.f64 (/.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 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 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)))) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 27061/99229 (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))))
(+.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))))
(-.f64 27061/99229 (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 2019128943700000/977047873985989 (/.f64 -201912894370000000000/96951483487755702481 x)) (/.f64 -20191289437/9846394441 x)))
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 27061/99229 (+.f64 (/.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 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 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)))) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 27061/99229 (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))))
(+.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))))
(-.f64 27061/99229 (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 2019128943700000/977047873985989 (/.f64 -201912894370000000000/96951483487755702481 x)) (/.f64 -20191289437/9846394441 x)))
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 (*.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) 16316775383/10000000000))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 141673834365820945903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 (*.f64 x x) 141673834365820945903/100000000000000000000 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x 141673834365820945903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 141673834365820945903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 (*.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) (+.f64 16316775383/10000000000 (*.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3)))))
(fma.f64 -2134856267379707/1000000000000000 x (+.f64 (fma.f64 141673834365820945903/100000000000000000000 (*.f64 x x) 16316775383/10000000000) (*.f64 (pow.f64 x 3) -14058152910286046641008787/10000000000000000000000000)))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 (*.f64 x x) 141673834365820945903/100000000000000000000 (fma.f64 (pow.f64 x 3) -14058152910286046641008787/10000000000000000000000000 16316775383/10000000000)))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x 141673834365820945903/100000000000000000000) (fma.f64 (pow.f64 x 3) -14058152910286046641008787/10000000000000000000000000 16316775383/10000000000)))
(fma.f64 x (fma.f64 x 141673834365820945903/100000000000000000000 -2134856267379707/1000000000000000) (fma.f64 (pow.f64 x 3) -14058152910286046641008787/10000000000000000000000000 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x (fma.f64 x -14058152910286046641008787/10000000000000000000000000 141673834365820945903/100000000000000000000)) 16316775383/10000000000))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 x -70711/100000) 1913510371/9922900000)
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 x -70711/100000) (/.f64 1427746267379707/984639444100000 x)))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 1913510371/9922900000 (-.f64 (+.f64 (*.f64 x -70711/100000) (/.f64 1427746267379707/984639444100000 x)) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 1913510371/9922900000 (-.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 (/.f64 1427746267379707/977047873985989 x) x)))
(+.f64 1913510371/9922900000 (+.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (fma.f64 x -70711/100000 (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 x -70711/100000) 1913510371/9922900000)
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 x -70711/100000) (/.f64 1427746267379707/984639444100000 x)))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 1913510371/9922900000 (-.f64 (+.f64 (*.f64 x -70711/100000) (/.f64 1427746267379707/984639444100000 x)) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 1913510371/9922900000 (-.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 (/.f64 1427746267379707/977047873985989 x) x)))
(+.f64 1913510371/9922900000 (+.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (fma.f64 x -70711/100000 (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))))
(*.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)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 99229/100000 x)
✓0.1b
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) 1)))
✓0.1b
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) 1))
0.2b
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
Compiler

Compiled 42 to 33 computations (21.4% saved)

series3.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) 1))
0.0ms
x
@0
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) 1))
0.0ms
x
@inf
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) 1))
0.0ms
x
@0
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) 1)))
0.0ms
x
@-inf
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) 1)))

rewrite84.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
498×log-prod_binary64
381×prod-diff_binary64
304×pow2_binary64
266×pow-prod-down_binary64
212×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01232
125632
2301932
Stop Event
1×node limit
Counts
3 → 106
Calls
Call 1
Inputs
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) 1))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) 1)))
(*.f64 99229/100000 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (/.f64 1 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1))) 2) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (*.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1))) (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (neg.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 99229/100000 1)) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) -2) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (cbrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) 2)) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (cbrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 99229/100000 1) -1/2) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (sqrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (sqrt.f64 (fma.f64 x 99229/100000 1))) (/.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (sqrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 (pow.f64 x 3) 977047873985989/1000000000000000 1)) (fma.f64 (*.f64 x x) 9846394441/10000000000 (-.f64 1 (*.f64 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simplify57.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
570×associate-*l*_binary64
536×unswap-sqr_binary64
474×fma-def_binary64
422×fma-neg_binary64
385×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
047268
1127252
2294252
3776240
41918240
55176236
Stop Event
1×node limit
Counts
130 → 134
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000))
(+.f64 (*.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3)))))
1913510371/9922900000
(+.f64 1913510371/9922900000 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)))
(-.f64 (+.f64 1913510371/9922900000 (*.f64 1427746267379707/984639444100000 (/.f64 1 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 142774626737970700000/96951483487755702481 (/.f64 1 (pow.f64 x 3))))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
1913510371/9922900000
(+.f64 1913510371/9922900000 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)))
(-.f64 (+.f64 1913510371/9922900000 (*.f64 1427746267379707/984639444100000 (/.f64 1 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 142774626737970700000/96951483487755702481 (/.f64 1 (pow.f64 x 3))))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 (*.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) 16316775383/10000000000))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 (*.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) (+.f64 16316775383/10000000000 (*.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
Outputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000))
(fma.f64 141673834365820945903/100000000000000000000 (*.f64 x x) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 141673834365820945903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 141673834365820945903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3)))))
(fma.f64 141673834365820945903/100000000000000000000 (*.f64 x x) (+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3))))
(fma.f64 141673834365820945903/100000000000000000000 (*.f64 x x) (fma.f64 -1427746267379707/1000000000000000 x (fma.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3) (fma.f64 x (*.f64 x 141673834365820945903/100000000000000000000) 16316775383/10000000000)))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 (*.f64 x x) (fma.f64 x -14058152910286046641008787/10000000000000000000000000 141673834365820945903/100000000000000000000) 16316775383/10000000000))
(fma.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3) (fma.f64 x (fma.f64 x 141673834365820945903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000))
1913510371/9922900000
(+.f64 1913510371/9922900000 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)))
(+.f64 1913510371/9922900000 (/.f64 1427746267379707/984639444100000 x))
(-.f64 (+.f64 1913510371/9922900000 (*.f64 1427746267379707/984639444100000 (/.f64 1 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1913510371/9922900000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 1427746267379707/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 1913510371/9922900000 (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 1913510371/9922900000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))
(-.f64 1913510371/9922900000 (-.f64 (/.f64 (/.f64 1427746267379707/977047873985989 x) x) (/.f64 1427746267379707/984639444100000 x)))
(-.f64 1913510371/9922900000 (+.f64 (/.f64 (/.f64 1427746267379707/977047873985989 x) x) (/.f64 -1427746267379707/984639444100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 142774626737970700000/96951483487755702481 (/.f64 1 (pow.f64 x 3))))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 142774626737970700000/96951483487755702481 (pow.f64 x 3)))) (/.f64 1427746267379707/977047873985989 (*.f64 x x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 142774626737970700000/96951483487755702481 (pow.f64 x 3)) (+.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 (/.f64 142774626737970700000/96951483487755702481 (pow.f64 x 3)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 142774626737970700000/96951483487755702481 (pow.f64 x 3)) (-.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 (/.f64 1427746267379707/977047873985989 x) x))))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 142774626737970700000/96951483487755702481 x) -1427746267379707/977047873985989) (+.f64 1913510371/9922900000 (/.f64 1427746267379707/984639444100000 x)))
1913510371/9922900000
(+.f64 1913510371/9922900000 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)))
(+.f64 1913510371/9922900000 (/.f64 1427746267379707/984639444100000 x))
(-.f64 (+.f64 1913510371/9922900000 (*.f64 1427746267379707/984639444100000 (/.f64 1 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1913510371/9922900000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 1427746267379707/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 1913510371/9922900000 (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 1913510371/9922900000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))
(-.f64 1913510371/9922900000 (-.f64 (/.f64 (/.f64 1427746267379707/977047873985989 x) x) (/.f64 1427746267379707/984639444100000 x)))
(-.f64 1913510371/9922900000 (+.f64 (/.f64 (/.f64 1427746267379707/977047873985989 x) x) (/.f64 -1427746267379707/984639444100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 142774626737970700000/96951483487755702481 (/.f64 1 (pow.f64 x 3))))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 142774626737970700000/96951483487755702481 (pow.f64 x 3)))) (/.f64 1427746267379707/977047873985989 (*.f64 x x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 142774626737970700000/96951483487755702481 (pow.f64 x 3)) (+.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 (/.f64 142774626737970700000/96951483487755702481 (pow.f64 x 3)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 142774626737970700000/96951483487755702481 (pow.f64 x 3)) (-.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 (/.f64 1427746267379707/977047873985989 x) x))))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 142774626737970700000/96951483487755702481 x) -1427746267379707/977047873985989) (+.f64 1913510371/9922900000 (/.f64 1427746267379707/984639444100000 x)))
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 (*.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) 16316775383/10000000000))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 141673834365820945903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 141673834365820945903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x (*.f64 x 141673834365820945903/100000000000000000000) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x (fma.f64 x 141673834365820945903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 (*.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) (+.f64 16316775383/10000000000 (*.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3)))))
(fma.f64 -2134856267379707/1000000000000000 x (+.f64 (fma.f64 141673834365820945903/100000000000000000000 (*.f64 x x) 16316775383/10000000000) (*.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3))))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 141673834365820945903/100000000000000000000 (*.f64 x x) (fma.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3) (fma.f64 x (*.f64 x 141673834365820945903/100000000000000000000) 16316775383/10000000000)))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 (*.f64 x x) (fma.f64 x -14058152910286046641008787/10000000000000000000000000 141673834365820945903/100000000000000000000) 16316775383/10000000000))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (fma.f64 x -70711/100000 1913510371/9922900000))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 1913510371/9922900000 (-.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 1913510371/9922900000 (+.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) (fma.f64 x -70711/100000 1913510371/9922900000)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))
(-.f64 1913510371/9922900000 (-.f64 (/.f64 1427746267379707/977047873985989 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x))))
(+.f64 1913510371/9922900000 (-.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 (/.f64 1427746267379707/977047873985989 x) x)))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (fma.f64 x -70711/100000 1913510371/9922900000))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 1913510371/9922900000 (-.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 1913510371/9922900000 (+.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) (fma.f64 x -70711/100000 1913510371/9922900000)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))
(-.f64 1913510371/9922900000 (-.f64 (/.f64 1427746267379707/977047873985989 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x))))
(+.f64 1913510371/9922900000 (-.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 (/.f64 1427746267379707/977047873985989 x) x)))

eval354.0ms (4.6%)

Compiler

Compiled 13132 to 10311 computations (21.5% saved)

prune116.0ms (1.5%)

Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New74915764
Fresh235
Picked101
Done325
Total75520775
Error
0.0b
Counts
775 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
17.8b
(*.f64 70711/100000 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (+.f64 230753/100000 x))))
16.2b
(pow.f64 (sqrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2)
32.0b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
▶2.7b
(pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 3)
0.9b
(fma.f64 x -70711/100000 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 3) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))))
17.8b
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))
28.1b
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
2.3b
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1)))) 2) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1)))))
30.9b
(*.f64 70711/100000 (-.f64 (+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) x))
26.0b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
▶33.2b
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) x))
▶0.1b
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))))
32.9b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
✓0.9b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
✓0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
16.2b
(*.f64 70711/100000 (pow.f64 (sqrt.f64 (-.f64 230753/100000 x)) 2))
2.3b
(*.f64 70711/100000 (pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 3))
▶31.9b
(*.f64 x -70711/100000)
30.8b
16316775383/10000000000
▶32.3b
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
Compiler

Compiled 470 to 379 computations (19.4% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))))
0.2b
(*.f64 4481/100000 (pow.f64 x 2))
✓0.3b
(*.f64 x 1913510371/10000000000)
✓15.0b
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2)))))
Compiler

Compiled 83 to 67 computations (19.3% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2)))))
0.0ms
x
@-inf
(*.f64 x 1913510371/10000000000)
0.0ms
x
@inf
(*.f64 x 1913510371/10000000000)
0.0ms
x
@0
(*.f64 x 1913510371/10000000000)
0.0ms
x
@inf
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2)))))

rewrite93.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
675×fma-def_binary64
366×fma-neg_binary64
331×expm1-udef_binary64
331×log1p-udef_binary64
251×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01850
140246
2506446
Stop Event
1×node limit
Counts
3 → 74
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2)))))
(*.f64 x 1913510371/10000000000)
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))))
Outputs
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simplify67.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
808×distribute-neg-frac_binary64
505×fma-def_binary64
417×times-frac_binary64
403×distribute-rgt-neg-in_binary64
288×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053392
1138376
2331372
3883360
42504360
56211360
Stop Event
1×node limit
Counts
110 → 104
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
Outputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000))))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 16316775383/10000000000))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 3648757816023/62748003125 x) x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 3648757816023/62748003125 x) x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 3648757816023/62748003125 x) x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 3648757816023/62748003125 x) x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000))) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 16316775383/10000000000))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x -70711/100000)
Compiler

Compiled 6 to 4 computations (33.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 x -70711/100000)
0.0ms
x
@-inf
(*.f64 x -70711/100000)
0.0ms
x
@inf
(*.f64 x -70711/100000)

rewrite48.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
345×pow1_binary64
339×add-sqr-sqrt_binary64
329×*-un-lft-identity_binary64
322×add-log-exp_binary64
322×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1804
28754
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 x -70711/100000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x -70711/100000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) -70711/200000)) (log.f64 (pow.f64 (exp.f64 x) -70711/200000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -70711/50000) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -70711/100000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x -70711/100000)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) (+.f64 1 (*.f64 x -70711/100000))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) (+.f64 1 (*.f64 x -70711/100000))) 1) (+.f64 (+.f64 1 (*.f64 x -70711/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -70711/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -70711/100000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x -70711/100000)))) (sqrt.f64 (log.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x -70711/100000))) 2)) (cbrt.f64 (log.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -70711/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -70711/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -70711/100000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -70711/100000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -70711/100000))) 2))))))

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
1548
Stop Event
1×saturated
Counts
37 → 26
Calls
Call 1
Inputs
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
Outputs
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
✓0.0b
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x)
✓0.1b
(/.f64 20191289437/9846394441 x)
✓0.2b
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
Compiler

Compiled 29 to 22 computations (24.1% saved)

series6.0ms (0.1%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
0.0ms
x
@0
(/.f64 20191289437/9846394441 x)
0.0ms
x
@-inf
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
0.0ms
x
@inf
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
0.0ms
x
@inf
(/.f64 20191289437/9846394441 x)

rewrite104.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
745×prod-diff_binary64
615×unpow-prod-down_binary64
433×log-prod_binary64
323×fma-def_binary64
270×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
121234
2288634
Stop Event
1×node limit
Counts
4 → 250
Calls
Call 1
Inputs
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
(/.f64 20191289437/9846394441 x)
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x)
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1913510371/9922900000 (*.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1913510371/9922900000 (*.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1913510371/9922900000 (*.f64 70711/100000 (-.f64 (/.f64 20191289437/9846394441 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 70711/100000) (*.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 70711/100000 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))) (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 70711/100000) (+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 70711/100000) (+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 70711/100000) (+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 70711/100000) (+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1913510371/9922900000 (*.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) 70711/100000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 3) (pow.f64 x 3)) 70711/100000) (fma.f64 x (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)) (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2) (*.f64 x x)) 70711/100000) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)) (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2) (*.f64 x x))) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1913510371/9922900000 (*.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) 70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x)) 2) 5000045521/10000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x)) 3) 353558218835431/1000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1913510371/9922900000 (*.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) 70711/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1913510371/9922900000 (*.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) 70711/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x)) 2) 5000045521/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 70711/100000) (+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1913510371/9922900000 (*.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) 70711/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x)) 3) 353558218835431/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1913510371/9922900000 (*.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1913510371/9922900000 (*.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1913510371/9922900000 (*.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1913510371/9922900000 (*.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) 70711/100000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 70711/100000 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 70711/100000 (*.f64 (neg.f64 x) 70711/100000))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 20191289437/9846394441 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 20191289437/9846394441 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 20191289437/9846394441 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2) (cbrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x)) (sqrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -20191289437/9846394441 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -20191289437/9846394441 (pow.f64 (/.f64 1 (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 20191289437/9846394441)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 20191289437/9846394441) 3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 2) 3) (cbrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 20191289437/9846394441) 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 8231749822918346830573921576453/954622548060541040474968308121 1/3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3))) 1/3) (pow.f64 (sqrt.f64 (/.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 20191289437/9846394441 x) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 20191289437/9846394441 x) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)) 20191289437/9846394441) 1/3) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)) (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)) (sqrt.f64 (/.f64 20191289437/9846394441 x))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9846394441/20191289437)) 2) -1) (cbrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 20191289437/9846394441 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9846394441/20191289437) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 9846394441/20191289437) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 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407688169128707776969/96951483487755702481 (*.f64 x x))) (-.f64 27061/99229 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 19816708627981/977047873985989 (/.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3)))) (neg.f64 (fma.f64 (/.f64 20191289437/9846394441 x) (-.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 732297721/9846394441)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 732297721/9846394441 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)))) (neg.f64 (-.f64 27061/99229 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)) 732297721/9846394441) (-.f64 (/.f64 20191289437/9846394441 x) 27061/99229))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 20191289437/9846394441 x) (-.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 732297721/9846394441) (+.f64 19816708627981/977047873985989 (/.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (-.f64 732297721/9846394441 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 20191289437/9846394441 (/.f64 1 x) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 20191289437/9846394441 x) 1 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 20191289437/9846394441 x) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2) (cbrt.f64 (/.f64 20191289437/9846394441 x)) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x)) (sqrt.f64 (/.f64 20191289437/9846394441 x)) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -20191289437/9846394441 (/.f64 1 (neg.f64 x)) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 20191289437/9846394441 27061/99229)))))

simplify101.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
348×fma-neg_binary64
288×fma-def_binary64
84×associate-/l*_binary64
71×cancel-sign-sub-inv_binary64
70×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024275
145249
270249
393249
4129249
5190249
6324249
7458249
8625249
9825249
101026249
111258249
121527249
131617249
141736249
151833249
161857249
171875249
Stop Event
1×saturated
Counts
286 → 268
Calls
Call 1
Inputs
(/.f64 1427746267379707/984639444100000 x)
(+.f64 1913510371/9922900000 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(/.f64 20191289437/9846394441 x)
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(*.f64 -1 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(*.f64 -1 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(/.f64 20191289437/9846394441 x)
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
Outputs
(/.f64 1427746267379707/984639444100000 x)
(+.f64 1913510371/9922900000 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)))
(+.f64 1913510371/9922900000 (/.f64 1427746267379707/984639444100000 x))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(/.f64 20191289437/9846394441 x)
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x)))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x)))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x)))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x)))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x)))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x))
(+.f64 27061/99229 (+.f64 (*.f64 -1 x) (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x)))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x))
(/.f64 20191289437/9846394441 x)
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) x))
✓0.1b
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
0.1b
(/.f64 20191289437/9846394441 x)
✓0.4b
(/.f64 -2019128943700000/977047873985989 x)
Compiler

Compiled 65 to 46 computations (29.2% saved)

series6.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 -2019128943700000/977047873985989 x)
1.0ms
x
@0
(/.f64 -2019128943700000/977047873985989 x)
1.0ms
x
@0
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
0.0ms
x
@inf
(/.f64 -2019128943700000/977047873985989 x)
0.0ms
x
@0
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) x))

rewrite91.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
780×fma-def_binary64
397×fma-neg_binary64
341×log-div_binary64
284×expm1-udef_binary64
284×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01333
131933
2483431
Stop Event
1×node limit
Counts
3 → 82
Calls
Call 1
Inputs
(/.f64 -2019128943700000/977047873985989 x)
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2019128943700000/977047873985989 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2019128943700000/977047873985989 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2019128943700000/977047873985989 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2019128943700000/977047873985989 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) (pow.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) 2) (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2019128943700000/977047873985989 x)) (sqrt.f64 (/.f64 -2019128943700000/977047873985989 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2019128943700000/977047873985989 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) -2019128943700000/977047873985989)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2019128943700000/977047873985989 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2019128943700000/977047873985989 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2019128943700000/977047873985989 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -977047873985989/2019128943700000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4076881691287077769690000000000/954622548060541040474968308121 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2019128943700000/977047873985989 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2019128943700000/977047873985989 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2019128943700000/977047873985989 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2019128943700000/977047873985989 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2019128943700000/977047873985989 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2019128943700000/977047873985989 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -2019128943700000/977047873985989 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2019128943700000/977047873985989 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2019128943700000/977047873985989 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2019128943700000/977047873985989 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2019128943700000/977047873985989 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) 2) (cbrt.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) 2) (*.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2019128943700000/977047873985989 x)) (*.f64 (sqrt.f64 (/.f64 -2019128943700000/977047873985989 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2019128943700000/977047873985989 x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -2019128943700000/977047873985989 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2019128943700000/977047873985989 x)) 1) (/.f64 (sqrt.f64 (/.f64 -2019128943700000/977047873985989 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2019128943700000/977047873985989 (cbrt.f64 (*.f64 x x))) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (/.f64 -2019128943700000/977047873985989 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2019128943700000/977047873985989 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (/.f64 -2019128943700000/977047873985989 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2019128943700000/977047873985989 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -977047873985989/2019128943700000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2019128943700000/977047873985989 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1913510371/9922900000 (*.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 (/.f64 20191289437/9846394441 x) x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1913510371/9922900000 (*.f64 70711/100000 (+.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 (/.f64 20191289437/9846394441 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) 70711/100000) (*.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 70711/100000 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229)) (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 70711/100000 (-.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) 3) (pow.f64 x 3)) 70711/100000) (fma.f64 x (+.f64 x (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229)) (pow.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) 2) (*.f64 x x)) 70711/100000) (+.f64 x (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229)) (pow.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) 2) (*.f64 x x))) (+.f64 x (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 70711/100000 (-.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 70711/100000 (-.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) x) 2) 5000045521/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 70711/100000 (-.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 70711/100000 (-.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 70711/100000 (-.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 70711/100000 (-.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 70711/100000 (-.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 70711/100000 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (/.f64 1 x) (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 27061/99229) 70711/100000 (*.f64 (neg.f64 x) 70711/100000))))))

simplify57.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
753×times-frac_binary64
601×associate-/l/_binary64
434×unswap-sqr_binary64
412×fma-def_binary64
391×distribute-neg-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025234
157220
2115220
3249220
4596220
51685220
66548220
Stop Event
1×node limit
Counts
106 → 98
Calls
Call 1
Inputs
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -1427746267379707/977047873985989 (pow.f64 x 2))
(-.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1913510371/9922900000 (*.f64 1427746267379707/984639444100000 (/.f64 1 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -1427746267379707/977047873985989 (pow.f64 x 2))
(/.f64 -1427746267379707/977047873985989 (*.f64 x x))
(-.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 1427746267379707/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))
(-.f64 (+.f64 1913510371/9922900000 (*.f64 1427746267379707/984639444100000 (/.f64 1 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 1913510371/9922900000 (-.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (-.f64 1913510371/9922900000 (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 1913510371/9922900000 (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(-.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/977047873985989 (*.f64 x x)) (/.f64 -1427746267379707/984639444100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 1913510371/9922900000 (-.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 1913510371/9922900000 (+.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(-.f64 (/.f64 1427746267379707/984639444100000 x) (-.f64 (/.f64 1427746267379707/977047873985989 (*.f64 x x)) (fma.f64 x -70711/100000 1913510371/9922900000)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (-.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (fma.f64 x -70711/100000 1913510371/9922900000))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 1913510371/9922900000 (-.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 1913510371/9922900000 (+.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(-.f64 (/.f64 1427746267379707/984639444100000 x) (-.f64 (/.f64 1427746267379707/977047873985989 (*.f64 x x)) (fma.f64 x -70711/100000 1913510371/9922900000)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (-.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (fma.f64 x -70711/100000 1913510371/9922900000))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 1913510371/9922900000 (-.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 1913510371/9922900000 (+.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(-.f64 (/.f64 1427746267379707/984639444100000 x) (-.f64 (/.f64 1427746267379707/977047873985989 (*.f64 x x)) (fma.f64 x -70711/100000 1913510371/9922900000)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (-.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 230753/100000 x)
0.1b
(*.f64 70711/100000 (-.f64 230753/100000 x))
✓0.3b
(cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)))
✓1.2b
(pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 3)
Compiler

Compiled 27 to 22 computations (18.5% saved)

series11.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 3)
3.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 3)
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 3)
1.0ms
x
@0
(cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)))
1.0ms
x
@inf
(cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)))

rewrite63.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
837×pow1_binary64
795×add-log-exp_binary64
795×log1p-expm1-u_binary64
795×expm1-log1p-u_binary64
781×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
120116
2211816
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 3)
(cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 16316775383/10000000000 (*.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 16316775383/10000000000 (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 70711/100000 (-.f64 230753/100000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 70711/100000 (-.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 230753/100000 x) 70711/100000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 70711/100000 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2) (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 2) (*.f64 (cbrt.f64 (-.f64 230753/100000 x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 70711/100000) (*.f64 (cbrt.f64 (-.f64 230753/100000 x)) (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)))) (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 230753/100000 x)) (*.f64 (sqrt.f64 (-.f64 230753/100000 x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) (sqrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)) 1/6) (*.f64 (pow.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)) 1/6) (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 70711/100000) 3) (-.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2)) 3) (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 70711/100000 (pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 2)) (cbrt.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 70711/100000 (sqrt.f64 (-.f64 230753/100000 x))) (sqrt.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2) 1) (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2) (cbrt.f64 70711/100000)) (cbrt.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2) (pow.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)) 1/6)) (pow.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3)) 70711/100000) (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3))) (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 53246947009/10000000000 (*.f64 x x))) (+.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 70711/100000) (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 230753/100000 x)) (cbrt.f64 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 70711/100000) (cbrt.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)) 1/6) (pow.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)))))))))

simplify55.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
720×associate-/r*_binary64
550×associate-*r*_binary64
545×associate-*l*_binary64
432×fma-def_binary64
330×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0103548
1302507
2960377
35277354
Stop Event
1×node limit
Counts
63 → 69
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 (+.f64 (*.f64 -70711/300000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -70711/150000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x))
(+.f64 16316775383/10000000000 (+.f64 (*.f64 (+.f64 (*.f64 -70711/300000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -70711/150000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x) (*.f64 (+.f64 (*.f64 -70711/900000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)) (+.f64 (*.f64 (cbrt.f64 230753/100000) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2)))) (cbrt.f64 70711/100000))) (*.f64 70711/450000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)))) (pow.f64 x 2))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2)))) (cbrt.f64 70711/100000)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3))) (+.f64 (*.f64 70711/1350000 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (pow.f64 1 1/3))) (+.f64 (*.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 70711/100000) (+.f64 (*.f64 200000/6230331 (*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 70711/100000) 2))) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (cbrt.f64 70711/100000) 2) (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (pow.f64 1 1/3)))))) (cbrt.f64 230753/100000)))))) (*.f64 70711/300000 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (pow.f64 1 1/3))))))))) (pow.f64 x 3)) (+.f64 16316775383/10000000000 (+.f64 (*.f64 (+.f64 (*.f64 -70711/300000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -70711/150000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x) (*.f64 (+.f64 (*.f64 -70711/900000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)) (+.f64 (*.f64 (cbrt.f64 230753/100000) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2)))) (cbrt.f64 70711/100000))) (*.f64 70711/450000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)))) (pow.f64 x 2)))))
(*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) (*.f64 (cbrt.f64 70711/100000) x))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) (*.f64 (cbrt.f64 70711/100000) x))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)) 1/3) (*.f64 (cbrt.f64 70711/100000) (pow.f64 x 2)))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) (*.f64 (cbrt.f64 70711/100000) x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 70711/100000) (*.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (pow.f64 1 1/3))))) (pow.f64 x 3))) (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)) 1/3) (*.f64 (cbrt.f64 70711/100000) (pow.f64 x 2)))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000)))))
Outputs
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 (+.f64 (*.f64 -70711/300000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -70711/150000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x))
(+.f64 16316775383/10000000000 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 230753/100000) 4)) -70711/100000) x))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 230753/100000) 4)) -70711/100000) x 16316775383/10000000000)
(fma.f64 (cbrt.f64 (*.f64 (cbrt.f64 230753/100000) 230753/100000)) (*.f64 x -70711/100000) 16316775383/10000000000)
(+.f64 16316775383/10000000000 (+.f64 (*.f64 (+.f64 (*.f64 -70711/300000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -70711/150000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x) (*.f64 (+.f64 (*.f64 -70711/900000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)) (+.f64 (*.f64 (cbrt.f64 230753/100000) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2)))) (cbrt.f64 70711/100000))) (*.f64 70711/450000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)))) (pow.f64 x 2))))
(+.f64 16316775383/10000000000 (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 230753/100000) 4)) -70711/100000) x (*.f64 (fma.f64 -70711/900000 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) (fma.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 70711/100000) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4))) (pow.f64 (cbrt.f64 70711/100000) 2)) -1/9)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) 70711/450000))) (*.f64 x x))))
(+.f64 16316775383/10000000000 (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 230753/100000) 4)) -70711/100000) x (*.f64 x (*.f64 x (fma.f64 -70711/900000 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) (fma.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 70711/100000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4))) (*.f64 (pow.f64 (cbrt.f64 70711/100000) 2) -1/9))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) 70711/450000)))))))
(fma.f64 (fma.f64 (cbrt.f64 230753/100000) (*.f64 -1/9 (*.f64 70711/100000 (cbrt.f64 (/.f64 100000/230753 (cbrt.f64 230753/100000))))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) 70711/900000)) (*.f64 x x) (fma.f64 (cbrt.f64 (*.f64 (cbrt.f64 230753/100000) 230753/100000)) (*.f64 x -70711/100000) 16316775383/10000000000))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2)))) (cbrt.f64 70711/100000)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3))) (+.f64 (*.f64 70711/1350000 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (pow.f64 1 1/3))) (+.f64 (*.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 70711/100000) (+.f64 (*.f64 200000/6230331 (*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 70711/100000) 2))) (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (cbrt.f64 70711/100000) 2) (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (pow.f64 1 1/3)))))) (cbrt.f64 230753/100000)))))) (*.f64 70711/300000 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (pow.f64 1 1/3))))))))) (pow.f64 x 3)) (+.f64 16316775383/10000000000 (+.f64 (*.f64 (+.f64 (*.f64 -70711/300000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -70711/150000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x) (*.f64 (+.f64 (*.f64 -70711/900000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)) (+.f64 (*.f64 (cbrt.f64 230753/100000) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2)))) (cbrt.f64 70711/100000))) (*.f64 70711/450000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)))) (pow.f64 x 2)))))
(fma.f64 (fma.f64 -1/3 (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4))) (pow.f64 (cbrt.f64 70711/100000) 2)) -1/9) (*.f64 (cbrt.f64 70711/100000) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))))) (fma.f64 70711/1350000 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (fma.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 70711/100000) (+.f64 (*.f64 200000/6230331 (pow.f64 (cbrt.f64 70711/100000) 2)) (*.f64 2/3 (/.f64 (pow.f64 (cbrt.f64 70711/100000) 2) (/.f64 (cbrt.f64 230753/100000) (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 230753/100000) 2)) (fma.f64 4/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 2/27)))))))) (*.f64 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 230753/100000) 2)) (fma.f64 4/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 2/27))) 70711/300000)))) (pow.f64 x 3) (+.f64 16316775383/10000000000 (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 230753/100000) 4)) -70711/100000) x (*.f64 (fma.f64 -70711/900000 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) (fma.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 70711/100000) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4))) (pow.f64 (cbrt.f64 70711/100000) 2)) -1/9)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) 70711/450000))) (*.f64 x x)))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 230753/100000) 4)) -70711/100000) x (*.f64 x (*.f64 x (fma.f64 -70711/900000 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) (fma.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 70711/100000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4))) (*.f64 (pow.f64 (cbrt.f64 70711/100000) 2) -1/9))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) 70711/450000)))))) (fma.f64 (+.f64 (fma.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 70711/100000) (fma.f64 (pow.f64 (cbrt.f64 70711/100000) 2) 200000/6230331 (*.f64 2/3 (*.f64 (/.f64 (pow.f64 (cbrt.f64 70711/100000) 2) (cbrt.f64 230753/100000)) (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 230753/100000) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 2/9)))))) (*.f64 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 230753/100000) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 2/9)) 70711/300000)) (fma.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4))) (*.f64 (pow.f64 (cbrt.f64 70711/100000) 2) -1/9)) (*.f64 (cbrt.f64 70711/100000) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))))) (/.f64 70711/1350000 (pow.f64 (cbrt.f64 230753/100000) 2)))) (pow.f64 x 3) 16316775383/10000000000))
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (*.f64 (*.f64 70711/100000 (cbrt.f64 (/.f64 100000/230753 (cbrt.f64 230753/100000)))) 1/27) (fma.f64 (cbrt.f64 230753/100000) (fma.f64 2/3 (/.f64 70711/100000 (/.f64 (cbrt.f64 230753/100000) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) -5/27))) 141422/6230331) (fma.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) -5/27) 70711/300000 (/.f64 70711/1350000 (pow.f64 (cbrt.f64 230753/100000) 2))))) (pow.f64 x 3) (fma.f64 (fma.f64 (cbrt.f64 230753/100000) (*.f64 -1/9 (*.f64 70711/100000 (cbrt.f64 (/.f64 100000/230753 (cbrt.f64 230753/100000))))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) 70711/900000)) (*.f64 x x) (fma.f64 (cbrt.f64 (*.f64 (cbrt.f64 230753/100000) 230753/100000)) (*.f64 x -70711/100000) 16316775383/10000000000)))
(fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (*.f64 (*.f64 70711/100000 (cbrt.f64 (/.f64 100000/230753 (cbrt.f64 230753/100000)))) 1/27) (fma.f64 (cbrt.f64 230753/100000) (fma.f64 2/3 (*.f64 (/.f64 70711/100000 (cbrt.f64 230753/100000)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) -5/27)) 141422/6230331) (fma.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) -5/27) 70711/300000 (/.f64 70711/1350000 (pow.f64 (cbrt.f64 230753/100000) 2))))) (pow.f64 x 3) (fma.f64 (fma.f64 (cbrt.f64 230753/100000) (*.f64 -1/9 (*.f64 70711/100000 (cbrt.f64 (/.f64 100000/230753 (cbrt.f64 230753/100000))))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) 70711/900000)) (*.f64 x x) (fma.f64 (cbrt.f64 (*.f64 (cbrt.f64 230753/100000) 230753/100000)) (*.f64 x -70711/100000) 16316775383/10000000000)))
(*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) (*.f64 (cbrt.f64 70711/100000) x))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000)))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (*.f64 x (cbrt.f64 70711/100000))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000)))
(fma.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (*.f64 (*.f64 x (cbrt.f64 70711/100000)) -1/3)))
(*.f64 (cbrt.f64 70711/100000) (+.f64 (*.f64 x (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))))) (cbrt.f64 230753/100000)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) (*.f64 (cbrt.f64 70711/100000) x))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)) 1/3) (*.f64 (cbrt.f64 70711/100000) (pow.f64 x 2)))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (*.f64 x (cbrt.f64 70711/100000))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7))) (*.f64 (cbrt.f64 70711/100000) (*.f64 x x))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000))))
(fma.f64 -1/3 (*.f64 x (*.f64 (cbrt.f64 70711/100000) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))))) (fma.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000) (*.f64 -1/9 (*.f64 (cbrt.f64 70711/100000) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7))))))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (*.f64 x (cbrt.f64 70711/100000))) (*.f64 (cbrt.f64 70711/100000) (+.f64 (*.f64 (*.f64 x x) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7))))) (cbrt.f64 230753/100000))))
(*.f64 (cbrt.f64 70711/100000) (+.f64 (cbrt.f64 230753/100000) (*.f64 x (+.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)))) x)))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) (*.f64 (cbrt.f64 70711/100000) x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 70711/100000) (*.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (pow.f64 1 1/3))))) (pow.f64 x 3))) (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)) 1/3) (*.f64 (cbrt.f64 70711/100000) (pow.f64 x 2)))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000)))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (*.f64 x (cbrt.f64 70711/100000))) (fma.f64 1/3 (/.f64 (cbrt.f64 70711/100000) (/.f64 (pow.f64 (cbrt.f64 230753/100000) 2) (*.f64 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 230753/100000) 2)) (fma.f64 4/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 2/27))) (pow.f64 x 3)))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7))) (*.f64 (cbrt.f64 70711/100000) (*.f64 x x))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000)))))
(fma.f64 -1/3 (*.f64 x (*.f64 (cbrt.f64 70711/100000) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))))) (fma.f64 1/3 (*.f64 (/.f64 (cbrt.f64 70711/100000) (pow.f64 (cbrt.f64 230753/100000) 2)) (*.f64 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 230753/100000) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 2/9)) (pow.f64 x 3))) (fma.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000) (*.f64 -1/9 (*.f64 (cbrt.f64 70711/100000) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)))))))))
(fma.f64 1/3 (*.f64 (*.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) -5/27) (pow.f64 x 3)) (/.f64 (cbrt.f64 70711/100000) (pow.f64 (cbrt.f64 230753/100000) 2))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (*.f64 x (cbrt.f64 70711/100000))) (*.f64 (cbrt.f64 70711/100000) (+.f64 (*.f64 (*.f64 x x) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7))))) (cbrt.f64 230753/100000)))))
(fma.f64 1/3 (*.f64 (/.f64 (cbrt.f64 70711/100000) (/.f64 (*.f64 (cbrt.f64 230753/100000) 230753/100000) -5/27)) (pow.f64 x 3)) (*.f64 (cbrt.f64 70711/100000) (+.f64 (cbrt.f64 230753/100000) (*.f64 x (+.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)))) x))))))

eval340.0ms (4.4%)

Compiler

Compiled 12169 to 9608 computations (21% saved)

prune105.0ms (1.4%)

Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New6776683
Fresh31013
Picked101
Done156
Total68221703
Error
0.0b
Counts
703 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.9b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
2.9b
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))) 3)
▶17.8b
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))
17.8b
(*.f64 70711/100000 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (+.f64 230753/100000 x))))
32.0b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
2.7b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2) (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))
▶30.9b
(*.f64 70711/100000 (-.f64 (+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) x))
▶0.1b
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (+.f64 0 (*.f64 x (*.f64 x 4481/100000)))))))
26.0b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
✓32.3b
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
32.5b
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
32.9b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
0.9b
(fma.f64 x -70711/100000 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 3) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))))
✓0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
16.2b
(*.f64 70711/100000 (pow.f64 (sqrt.f64 (-.f64 230753/100000 x)) 2))
▶2.3b
(*.f64 70711/100000 (pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 3))
▶28.1b
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
✓31.9b
(*.f64 x -70711/100000)
30.8b
16316775383/10000000000
✓33.2b
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) x))
46.9b
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
Compiler

Compiled 448 to 366 computations (18.3% saved)

localize38.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (*.f64 x 4481/100000))
0.3b
(*.f64 x 1913510371/10000000000)
0.3b
(*.f64 x 4481/100000)
✓15.0b
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (+.f64 0 (*.f64 x (*.f64 x 4481/100000))))))
Compiler

Compiled 98 to 75 computations (23.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (+.f64 0 (*.f64 x (*.f64 x 4481/100000))))))
0.0ms
x
@inf
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (+.f64 0 (*.f64 x (*.f64 x 4481/100000))))))
0.0ms
x
@-inf
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (+.f64 0 (*.f64 x (*.f64 x 4481/100000))))))
0.0ms
x
@inf
(*.f64 x (*.f64 x 4481/100000))
0.0ms
x
@0
(*.f64 x (*.f64 x 4481/100000))

rewrite89.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
801×fma-def_binary64
408×fma-neg_binary64
295×expm1-udef_binary64
295×log1p-udef_binary64
223×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01728
138826
2493926
Stop Event
1×node limit
Counts
2 → 86
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (+.f64 0 (*.f64 x (*.f64 x 4481/100000))))))
(*.f64 x (*.f64 x 4481/100000))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (/.f64 1 (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))) 2) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (*.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))) (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (neg.f64 (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1))) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1))) 2)) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (cbrt.f64 (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1))) 2)) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1))) 2)) (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (cbrt.f64 (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (sqrt.f64 (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (sqrt.f64 (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))) (/.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (sqrt.f64 (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 (pow.f64 x 3) 977047873985989/1000000000000000 (pow.f64 (fma.f64 4481/100000 (*.f64 x x) 1) 3))) (fma.f64 (fma.f64 4481/100000 (*.f64 x x) 1) (-.f64 (fma.f64 4481/100000 (*.f64 x x) 1) (*.f64 x 99229/100000)) (*.f64 (*.f64 x x) 9846394441/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (-.f64 (*.f64 (*.f64 x x) 9846394441/10000000000) (pow.f64 (fma.f64 4481/100000 (*.f64 x x) 1) 2))) (-.f64 (*.f64 x 99229/100000) (fma.f64 4481/100000 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (neg.f64 (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) 3) (pow.f64 (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 (fma.f64 4481/100000 (*.f64 x x) 1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 4481/100000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 4481/100000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 4481/100000 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (*.f64 x (*.f64 x 4481/100000)))) (/.f64 (pow.f64 (*.f64 x (*.f64 x 4481/100000)) 2) (neg.f64 (*.f64 x (*.f64 x 4481/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (*.f64 x (*.f64 x 4481/100000)) 2) (*.f64 (pow.f64 (*.f64 x x) 3) 89975616641/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (*.f64 x (*.f64 x 4481/100000))) (neg.f64 (pow.f64 (*.f64 x (*.f64 x 4481/100000)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 x (*.f64 x 4481/100000)) 2) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 89975616641/1000000000000000) (pow.f64 (*.f64 x (*.f64 x 4481/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 x (*.f64 x 4481/100000)) 2)) (neg.f64 (*.f64 x (*.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 89975616641/1000000000000000)) (neg.f64 (pow.f64 (*.f64 x (*.f64 x 4481/100000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 x (*.f64 x 4481/100000)) 2))) (neg.f64 (neg.f64 (*.f64 x (*.f64 x 4481/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 4481/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 4481/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 4481/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 89975616641/1000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 4481/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 4481/100000) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 4481/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 89975616641/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 x (*.f64 x 4481/100000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 4481/100000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 4481/100000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 4481/100000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 4481/100000 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4481/100000 (*.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 4481/100000) x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 4481/100000)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 4481/100000 (*.f64 x x) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 4481/100000 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 4481/100000 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 4481/100000 (*.f64 x x) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4481/100000 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 4481/100000 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 4481/100000)) 2) (*.f64 (cbrt.f64 (*.f64 x 4481/100000)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 4481/100000))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 4481/100000))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 4481/100000))) 2) (cbrt.f64 (*.f64 x (*.f64 x 4481/100000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 4481/100000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 4481/100000))) (hypot.f64 1 (*.f64 x (sqrt.f64 4481/100000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 4481/100000)) (*.f64 (sqrt.f64 (*.f64 x 4481/100000)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 4481/100000)) (*.f64 x (sqrt.f64 4481/100000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 4481/100000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 89975616641/1000000000000000) (/.f64 1 (pow.f64 (*.f64 x (*.f64 x 4481/100000)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 89975616641/1000000000000000 1) (/.f64 1 (fma.f64 (*.f64 x (*.f64 x 4481/100000)) (fma.f64 x (*.f64 x 4481/100000) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (*.f64 x (*.f64 x 4481/100000)) 2)) (/.f64 1 (neg.f64 (*.f64 x (*.f64 x 4481/100000)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x 4481/100000)) 2)) (/.f64 1 (-.f64 1 (*.f64 x (*.f64 x 4481/100000)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 4481/100000)) 2)) (cbrt.f64 (*.f64 x 4481/100000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 4481/100000))) (sqrt.f64 (*.f64 x 4481/100000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 4481/100000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 4481/100000) (sqrt.f64 x)) (sqrt.f64 x) 0)))))

simplify60.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
813×distribute-neg-frac_binary64
784×fma-def_binary64
417×times-frac_binary64
384×distribute-rgt-neg-in_binary64
290×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042265
1105263
2253261
3674255
42025252
55991252
Stop Event
1×node limit
Counts
110 → 102
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (pow.f64 x 2))
Outputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 16316775383/10000000000))
(fma.f64 x (fma.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) -1427746267379707/1000000000000000) 16316775383/10000000000)
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -3648757816023/62748003125 x) x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(-.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -3648757816023/62748003125 x) x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(-.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
✓0.1b
(*.f64 -70711/100000 x)
Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
0.0ms
x
@0
(*.f64 -70711/100000 x)
0.0ms
x
@0
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
0.0ms
x
@-inf
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
0.0ms
x
@inf
(*.f64 -70711/100000 x)

rewrite70.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
653×pow1_binary64
618×add-log-exp_binary64
618×log1p-expm1-u_binary64
618×expm1-log1p-u_binary64
609×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0611
11329
216079
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -70711/100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -70711/100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -70711/100000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -70711/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -70711/100000 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -70711/100000 x 1913510371/9922900000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 3661521939924557641/98463944410000000000 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))) (/.f64 (pow.f64 (*.f64 -70711/100000 x) 2) (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -70711/100000 x 1913510371/9922900000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -70711/100000 x 1913510371/9922900000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)) (pow.f64 (cbrt.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)) 2) (cbrt.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)) (sqrt.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 7006360205689680003640794811/977047873985989000000000000000 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000)) (/.f64 1 (+.f64 3661521939924557641/98463944410000000000 (-.f64 (pow.f64 (*.f64 -70711/100000 x) 2) (*.f64 -135306231843781/992290000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (*.f64 -70711/100000 x) 2)) (/.f64 1 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 3661521939924557641/98463944410000000000 (-.f64 (pow.f64 (*.f64 -70711/100000 x) 2) (*.f64 -135306231843781/992290000000000 x))) (+.f64 7006360205689680003640794811/977047873985989000000000000000 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x)) (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (*.f64 -70711/100000 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 7006360205689680003640794811/977047873985989000000000000000 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000)) (+.f64 3661521939924557641/98463944410000000000 (-.f64 (pow.f64 (*.f64 -70711/100000 x) 2) (*.f64 -135306231843781/992290000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 7006360205689680003640794811/977047873985989000000000000000 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000)) (+.f64 (pow.f64 (*.f64 -70711/100000 x) 2) (-.f64 3661521939924557641/98463944410000000000 (*.f64 -135306231843781/992290000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (*.f64 -70711/100000 x) 2)) (+.f64 1913510371/9922900000 (*.f64 70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 7006360205689680003640794811/977047873985989000000000000000 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000))) (neg.f64 (+.f64 3661521939924557641/98463944410000000000 (-.f64 (pow.f64 (*.f64 -70711/100000 x) 2) (*.f64 -135306231843781/992290000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (*.f64 -70711/100000 x) 2))) (neg.f64 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -70711/100000 x) 2) 3661521939924557641/98463944410000000000) (-.f64 (*.f64 -70711/100000 x) 1913510371/9922900000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -70711/100000 x 1913510371/9922900000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -70711/100000 x 1913510371/9922900000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -70711/100000 x 1913510371/9922900000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -70711/100000 x 1913510371/9922900000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -70711/100000 x 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -70711/100000 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -70711/100000 x) 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2) (cbrt.f64 (*.f64 -70711/100000 x)) 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -70711/100000 x)) (sqrt.f64 (*.f64 -70711/100000 x)) 1913510371/9922900000)))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
169
Stop Event
1×saturated
Counts
46 → 45
Calls
Call 1
Inputs
1913510371/9922900000
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
Outputs
1913510371/9922900000
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 53246947009/10000000000 (*.f64 x x))
✓0.0b
(+.f64 230753/100000 x)
✓0.6b
(*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)
✓15.4b
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))
Compiler

Compiled 34 to 20 computations (41.2% saved)

series5.0ms (0.1%)

Counts
4 → 39
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)
1.0ms
x
@0
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))
1.0ms
x
@inf
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))
1.0ms
x
@-inf
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))
0.0ms
x
@inf
(*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)

rewrite91.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
516×log-prod_binary64
295×pow-prod-down_binary64
289×pow2_binary64
199×expm1-udef_binary64
199×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
123228
2314328
Stop Event
1×node limit
Counts
4 → 181
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))
(*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)
(+.f64 230753/100000 x)
(-.f64 53246947009/10000000000 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 70711/100000 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 230753/100000 x)) 70711/100000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 230753/100000 x)) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 230753/100000 x)) 70711/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 230753/100000 x)) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 53246947009/10000000000 (*.f64 (+.f64 x 230753/100000) 100000/70711)) (/.f64 (*.f64 x x) (*.f64 (+.f64 x 230753/100000) 100000/70711)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (*.f64 (+.f64 x 230753/100000) 100000/70711)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (*.f64 70711/100000 (/.f64 1 (+.f64 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 70711/100000 (-.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 70711/100000 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (+.f64 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (/.f64 1 (+.f64 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 70711/100000 (-.f64 230753/100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 70711/100000 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2) (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) (/.f64 1 (+.f64 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) (sqrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) (*.f64 (sqrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) (/.f64 1 (+.f64 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) -70711/100000) (/.f64 1 (fma.f64 -1 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 230753/100000)) (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 230753/100000 x) 70711/100000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 1) (/.f64 70711/100000 (+.f64 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) (+.f64 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) (+.f64 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x 230753/100000)) 2)) (/.f64 70711/100000 (cbrt.f64 (+.f64 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 70711/100000 (pow.f64 (cbrt.f64 (+.f64 x 230753/100000)) 2)) (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (cbrt.f64 (+.f64 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 230753/100000)) -2) (/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (cbrt.f64 (+.f64 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) 2) (pow.f64 (cbrt.f64 (+.f64 x 230753/100000)) 2)) (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) (pow.f64 (cbrt.f64 (+.f64 x 230753/100000)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) (cbrt.f64 (+.f64 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (sqrt.f64 (+.f64 x 230753/100000))) (/.f64 70711/100000 (sqrt.f64 (+.f64 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 70711/100000 (sqrt.f64 (+.f64 x 230753/100000))) (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (sqrt.f64 (+.f64 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 230753/100000) -1/2) (/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (sqrt.f64 (+.f64 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) 2) (sqrt.f64 (+.f64 x 230753/100000))) (/.f64 (cbrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) (sqrt.f64 (+.f64 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (-.f64 53246947009/10000000000 (*.f64 x x))) (-.f64 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53246947009/10000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 53246947009/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 53246947009/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 53246947009/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 53246947009/10000000000 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 53246947009/10000000000 (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 53246947009/10000000000 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 53246947009/10000000000 (*.f64 x x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 x) 53246947009/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (neg.f64 x)) 53246947009/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 53246947009/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) x 53246947009/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) 2) (cbrt.f64 (*.f64 x (neg.f64 x))) 53246947009/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) 53246947009/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x x) 53246947009/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) 53246947009/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) x 53246947009/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 53246947009/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) 53246947009/10000000000)))))

simplify106.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
922×fma-neg_binary64
803×fma-def_binary64
525×distribute-rgt-neg-in_binary64
522×distribute-lft-neg-in_binary64
328×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016274
128220
252220
395220
4226220
5650220
61046220
71897220
82975220
94360220
105345220
116444220
127992220
Stop Event
1×node limit
Counts
220 → 197
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(*.f64 -70711/100000 x)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(*.f64 -70711/100000 x)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
3765144869953399/1000000000000000
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(*.f64 -70711/100000 (pow.f64 x 2))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(*.f64 -70711/100000 (pow.f64 x 2))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
230753/100000
x
x
53246947009/10000000000
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
Outputs
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
(*.f64 -70711/100000 x)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
(*.f64 -70711/100000 x)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 16316775383/10000000000)
3765144869953399/1000000000000000
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) 3765144869953399/1000000000000000)
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) 3765144869953399/1000000000000000)
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) 3765144869953399/1000000000000000)
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) 3765144869953399/1000000000000000)
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) 3765144869953399/1000000000000000)
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) 3765144869953399/1000000000000000)
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) 3765144869953399/1000000000000000)
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) 3765144869953399/1000000000000000)
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) 3765144869953399/1000000000000000)
230753/100000
x
x
53246947009/10000000000
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
(+.f64 53246947009/10000000000 (neg.f64 (*.f64 x x)))
(-.f64 53246947009/10000000000 (*.f64 x x))
(neg.f64 (fma.f64 x x -53246947009/10000000000))
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
(+.f64 53246947009/10000000000 (neg.f64 (*.f64 x x)))
(-.f64 53246947009/10000000000 (*.f64 x x))
(neg.f64 (fma.f64 x x -53246947009/10000000000))
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
(+.f64 53246947009/10000000000 (neg.f64 (*.f64 x x)))
(-.f64 53246947009/10000000000 (*.f64 x x))
(neg.f64 (fma.f64 x x -53246947009/10000000000))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
(+.f64 53246947009/10000000000 (neg.f64 (*.f64 x x)))
(-.f64 53246947009/10000000000 (*.f64 x x))
(neg.f64 (fma.f64 x x -53246947009/10000000000))
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
(+.f64 53246947009/10000000000 (neg.f64 (*.f64 x x)))
(-.f64 53246947009/10000000000 (*.f64 x x))
(neg.f64 (fma.f64 x x -53246947009/10000000000))
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
(+.f64 53246947009/10000000000 (neg.f64 (*.f64 x x)))
(-.f64 53246947009/10000000000 (*.f64 x x))
(neg.f64 (fma.f64 x x -53246947009/10000000000))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
(+.f64 53246947009/10000000000 (neg.f64 (*.f64 x x)))
(-.f64 53246947009/10000000000 (*.f64 x x))
(neg.f64 (fma.f64 x x -53246947009/10000000000))
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
(+.f64 53246947009/10000000000 (neg.f64 (*.f64 x x)))
(-.f64 53246947009/10000000000 (*.f64 x x))
(neg.f64 (fma.f64 x x -53246947009/10000000000))
(+.f64 53246947009/10000000000 (*.f64 -1 (pow.f64 x 2)))
(+.f64 53246947009/10000000000 (neg.f64 (*.f64 x x)))
(-.f64 53246947009/10000000000 (*.f64 x x))
(neg.f64 (fma.f64 x x -53246947009/10000000000))

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
✓0.1b
(*.f64 70711/100000 (-.f64 (+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) x))
✓0.1b
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
0.6b
(*.f64 -20191289437/10000000000 x)
Compiler

Compiled 62 to 49 computations (21% saved)

series4.0ms (0.1%)

Counts
3 → 18
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
1.0ms
x
@inf
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
0.0ms
x
@inf
(*.f64 70711/100000 (-.f64 (+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) x))
0.0ms
x
@-inf
(*.f64 70711/100000 (-.f64 (+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) x))
0.0ms
x
@0
(*.f64 70711/100000 (-.f64 (+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) x))

rewrite444.0ms (5.8%)

Algorithm
1×batch-egg-rewrite
Rules
790×fma-def_binary64
660×log-prod_binary64
387×fma-neg_binary64
275×expm1-udef_binary64
275×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01441
132437
2432537
Stop Event
1×node limit
Counts
3 → 117
Calls
Call 1
Inputs
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
(*.f64 70711/100000 (-.f64 (+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) x))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
Outputs
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(*.f64 x x) 230753/100000)) (+.f64 1 (expm1.f64 (*.f64 x -20191289437/10000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 x -20191289437/10000000000 230753/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 x -20191289437/10000000000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 x -20191289437/10000000000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 x -20191289437/10000000000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 x -20191289437/10000000000 230753/100000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 x -20191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -20191289437/10000000000 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 1900161040244073/1000000000000000) (fma.f64 x -20191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1900161040244073/1000000000000000 (fma.f64 x -20191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1900161040244073/1000000000000000 (*.f64 x x)) 1 (fma.f64 x -20191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -20191289437/10000000000 x (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -20191289437/10000000000) 1 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x -20191289437/10000000000 230753/100000) 1 (*.f64 1900161040244073/1000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1900161040244073/1000000000000000 (*.f64 x x)) (fma.f64 x -20191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -20191289437/10000000000) (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x -20191289437/10000000000 230753/100000) (*.f64 1900161040244073/1000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000) (*.f64 x -20191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000)) 2) (*.f64 1900161040244073/1000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000)) 2) (cbrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000)) (*.f64 1900161040244073/1000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1900161040244073/1000000000000000) (fma.f64 x -20191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1900161040244073/1000000000000000 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 3610611978861437611091411629329/1000000000000000000000000000000)) (fma.f64 x -20191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 3610611978861437611091411629329/1000000000000000000000000000000)) (cbrt.f64 (*.f64 1900161040244073/1000000000000000 (*.f64 x x))) (fma.f64 x -20191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -20191289437/10000000000) (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x -20191289437/10000000000)) (cbrt.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (cbrt.f64 (*.f64 x -20191289437/10000000000)) (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000)) (sqrt.f64 (fma.f64 x -20191289437/10000000000 230753/100000)) (*.f64 1900161040244073/1000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1900161040244073/1000000000000000)) (*.f64 x (sqrt.f64 1900161040244073/1000000000000000)) (fma.f64 x -20191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -20191289437/10000000000) (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -20191289437/10000000000)) (sqrt.f64 (*.f64 x -20191289437/10000000000)) (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3) 12286892763167777/1000000000000000) (/.f64 1 (fma.f64 (*.f64 x -20191289437/10000000000) (fma.f64 x -20191289437/10000000000 -230753/100000) 53246947009/10000000000)) (*.f64 1900161040244073/1000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (/.f64 1 (-.f64 230753/100000 (*.f64 x -20191289437/10000000000))) (*.f64 1900161040244073/1000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000) 1 (*.f64 x -20191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000)) (cbrt.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000))) (cbrt.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000)) (*.f64 x -20191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000)) (sqrt.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000)) (*.f64 x -20191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1900161040244073/1000000000000000 x) x (fma.f64 x -20191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1900161040244073/1000000000000000 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -20191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -20191289437/10000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -20191289437/10000000000 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) 230753/100000))))))

simplify187.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
2020×unswap-sqr_binary64
1080×sqr-pow_binary64
637×fabs-mul_binary64
612×pow-sqr_binary64
610×cube-prod_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020170
140156
270152
3139126
4332126
5891126
61368126
71834126
81943126
92078126
102247126
112492126
122805126
133175126
143634126
154221126
164933126
175793126
186217126
196531126
206837126
216913126
226947126
Stop Event
1×node limit
Counts
135 → 133
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (*.f64 -20191289437/10000000000 x))
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (*.f64 -20191289437/10000000000 x))
Outputs
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 134362287316698645903/100000000000000000000))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))
(fma.f64 -2134856267379707/1000000000000000 x (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -2134856267379707/1000000000000000 x))
(*.f64 x (+.f64 -2134856267379707/1000000000000000 (*.f64 x 134362287316698645903/100000000000000000000)))
(*.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))
(*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 134362287316698645903/100000000000000000000))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)))
(fma.f64 -2134856267379707/1000000000000000 x (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -2134856267379707/1000000000000000 x))
(*.f64 x (+.f64 -2134856267379707/1000000000000000 (*.f64 x 134362287316698645903/100000000000000000000)))
(*.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -20191289437/10000000000))
(fma.f64 x -20191289437/10000000000 230753/100000)
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 1900161040244073/1000000000000000)
(*.f64 x (*.f64 x 1900161040244073/1000000000000000))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (*.f64 -20191289437/10000000000 x))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (*.f64 x -20191289437/10000000000))
(fma.f64 x -20191289437/10000000000 (*.f64 x (*.f64 x 1900161040244073/1000000000000000)))
(*.f64 x (+.f64 -20191289437/10000000000 (*.f64 x 1900161040244073/1000000000000000)))
(*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 1900161040244073/1000000000000000)
(*.f64 x (*.f64 x 1900161040244073/1000000000000000))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (*.f64 -20191289437/10000000000 x))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (*.f64 x -20191289437/10000000000))
(fma.f64 x -20191289437/10000000000 (*.f64 x (*.f64 x 1900161040244073/1000000000000000)))
(*.f64 x (+.f64 -20191289437/10000000000 (*.f64 x 1900161040244073/1000000000000000)))
(*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 230753/100000 x)
✓0.1b
(*.f64 70711/100000 (pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 3))
✓0.3b
(cbrt.f64 (-.f64 230753/100000 x))
✓0.8b
(pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 3)
Compiler

Compiled 26 to 21 computations (19.2% saved)

series8.0ms (0.1%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 3)
2.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 3)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 3)
1.0ms
x
@0
(cbrt.f64 (-.f64 230753/100000 x))
0.0ms
x
@inf
(*.f64 70711/100000 (pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 3))

rewrite79.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
832×pow1_binary64
790×add-log-exp_binary64
790×log1p-expm1-u_binary64
790×expm1-log1p-u_binary64
776×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
120117
2210517
Stop Event
1×node limit
Counts
3 → 73
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 3)
(cbrt.f64 (-.f64 230753/100000 x))
(*.f64 70711/100000 (pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 230753/100000 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 230753/100000 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 230753/100000 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 230753/100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 12286892763167777/1000000000000000 (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x)))) (/.f64 (pow.f64 x 3) (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 53246947009/10000000000 (+.f64 230753/100000 x)) (/.f64 (*.f64 x x) (+.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 230753/100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 230753/100000 x)) (cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 2)) (cbrt.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 230753/100000 x))) (cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 230753/100000 x) 1/6) (*.f64 (pow.f64 (-.f64 230753/100000 x) 1/6) (cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 230753/100000 x)) (sqrt.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3)) (/.f64 1 (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (+.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 2))) 3) (cbrt.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 230753/100000 x) 1/6) 3) (pow.f64 (pow.f64 (-.f64 230753/100000 x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 2)) 1) (cbrt.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 2)))) (cbrt.f64 (cbrt.f64 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 2)) (pow.f64 (-.f64 230753/100000 x) 1/6)) (pow.f64 (-.f64 230753/100000 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x))) (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 230753/100000 x) (-.f64 53246947009/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3)) (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3))) (neg.f64 (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 53246947009/10000000000 (*.f64 x x))) (neg.f64 (+.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (neg.f64 x) 3)) (+.f64 53246947009/10000000000 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 230753/100000 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 230753/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 230753/100000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 230753/100000 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (-.f64 230753/100000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 230753/100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 230753/100000 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 230753/100000 x))) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 2))) (cbrt.f64 (cbrt.f64 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 230753/100000 x) 1/6) (pow.f64 (-.f64 230753/100000 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 2)) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 230753/100000 x)) 1/3) (pow.f64 (sqrt.f64 (-.f64 230753/100000 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3))) (cbrt.f64 (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 53246947009/10000000000 (*.f64 x x))) (cbrt.f64 (+.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 230753/100000 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 230753/100000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 230753/100000 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 230753/100000 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 230753/100000 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 16316775383/10000000000 (*.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 16316775383/10000000000 (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 230753/100000 x) 70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3)) 70711/100000) (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 12286892763167777/1000000000000000 (pow.f64 x 3))) (+.f64 53246947009/10000000000 (*.f64 x (+.f64 230753/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 53246947009/10000000000 (*.f64 x x))) (+.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 230753/100000 x) 70711/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 230753/100000 x) 70711/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 230753/100000 x) 70711/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 230753/100000 x) 70711/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 5000045521/10000000000 (pow.f64 (-.f64 230753/100000 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 70711/100000) (-.f64 230753/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 230753/100000 x) 70711/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 230753/100000 x) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 230753/100000 x) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 230753/100000 x) 70711/100000)))))))

simplify73.0ms (1%)

Algorithm
1×egg-herbie
Rules
675×associate-/l*_binary64
509×associate-/r*_binary64
433×associate-/r/_binary64
408×fma-def_binary64
389×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
091492
1277429
2855377
34226339
Stop Event
1×node limit
Counts
93 → 92
Calls
Call 1
Inputs
230753/100000
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -2/3 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x) 230753/100000)
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -2/3 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x) (+.f64 230753/100000 (*.f64 (+.f64 (*.f64 (cbrt.f64 230753/100000) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3)))) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)) (*.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)))) (pow.f64 x 2))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -2/3 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x) (+.f64 230753/100000 (+.f64 (*.f64 (+.f64 (*.f64 2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (pow.f64 1 1/3))) (+.f64 (*.f64 (cbrt.f64 230753/100000) (+.f64 (*.f64 200000/6230331 (pow.f64 1 1/3)) (*.f64 2/3 (/.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (pow.f64 1 1/3))))) (cbrt.f64 230753/100000))))) (+.f64 (*.f64 1/3 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (pow.f64 1 1/3)))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3)))))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 (cbrt.f64 230753/100000) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3)))) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)) (*.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)))) (pow.f64 x 2)))))
(cbrt.f64 230753/100000)
(+.f64 (cbrt.f64 230753/100000) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) x)))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)) 1/3) (pow.f64 x 2))) (+.f64 (cbrt.f64 230753/100000) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) x))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)) 1/3) (pow.f64 x 2))) (+.f64 (cbrt.f64 230753/100000) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) x)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (pow.f64 1 1/3))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 230753/100000) 2))))))
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(*.f64 -70711/100000 x)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(*.f64 -70711/100000 x)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
Outputs
230753/100000
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -2/3 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x) 230753/100000)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 230753/100000) 4)) -1) x 230753/100000)
(fma.f64 (cbrt.f64 (*.f64 230753/100000 (cbrt.f64 230753/100000))) (neg.f64 x) 230753/100000)
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -2/3 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x) (+.f64 230753/100000 (*.f64 (+.f64 (*.f64 (cbrt.f64 230753/100000) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3)))) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)) (*.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)))) (pow.f64 x 2))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 230753/100000) 4)) -1) x 230753/100000) (*.f64 (fma.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4))) -1/9) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) 1/9)) (*.f64 x x)))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 230753/100000) 4)) -1) x (fma.f64 (fma.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4))) -1/9) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))))) (*.f64 x x) 230753/100000))
(fma.f64 (cbrt.f64 (*.f64 230753/100000 (cbrt.f64 230753/100000))) (neg.f64 x) (fma.f64 x (*.f64 x (fma.f64 (cbrt.f64 (/.f64 100000/230753 (cbrt.f64 230753/100000))) (*.f64 (cbrt.f64 230753/100000) -1/9) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000)))))) 230753/100000))
(+.f64 230753/100000 (*.f64 x (-.f64 (*.f64 x (fma.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) (*.f64 (cbrt.f64 (/.f64 100000/230753 (cbrt.f64 230753/100000))) (*.f64 (cbrt.f64 230753/100000) -1/9)))) (cbrt.f64 (*.f64 230753/100000 (cbrt.f64 230753/100000))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -2/3 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x) (+.f64 230753/100000 (+.f64 (*.f64 (+.f64 (*.f64 2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (pow.f64 1 1/3))) (+.f64 (*.f64 (cbrt.f64 230753/100000) (+.f64 (*.f64 200000/6230331 (pow.f64 1 1/3)) (*.f64 2/3 (/.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (pow.f64 1 1/3))))) (cbrt.f64 230753/100000))))) (+.f64 (*.f64 1/3 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (pow.f64 1 1/3)))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3)))))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 (cbrt.f64 230753/100000) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3)))) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)) (*.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)))) (pow.f64 x 2)))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 230753/100000) 4)) -1) x 230753/100000) (fma.f64 (fma.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (fma.f64 (cbrt.f64 230753/100000) (+.f64 200000/6230331 (*.f64 2/3 (/.f64 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 230753/100000) 2)) (fma.f64 4/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (*.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))))) (cbrt.f64 230753/100000)))) (fma.f64 1/3 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 230753/100000) 2)) (fma.f64 4/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (*.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))))) (*.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4))) -1/9) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))))))) (pow.f64 x 3) (*.f64 (fma.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4))) -1/9) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) 1/9)) (*.f64 x x))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 230753/100000) 4)) -1) x 230753/100000) (fma.f64 (+.f64 (/.f64 2/27 (pow.f64 (cbrt.f64 230753/100000) 2)) (fma.f64 (cbrt.f64 230753/100000) (fma.f64 2/3 (/.f64 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 230753/100000) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 2/9)) (cbrt.f64 230753/100000)) 200000/6230331) (fma.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4))) -1/9) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 1/3 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 230753/100000) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 2/9)))))) (pow.f64 x 3) (*.f64 x (*.f64 x (fma.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4))) -1/9) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000)))))))))
(fma.f64 (cbrt.f64 (*.f64 230753/100000 (cbrt.f64 230753/100000))) (neg.f64 x) (fma.f64 x (*.f64 x (fma.f64 (cbrt.f64 (/.f64 100000/230753 (cbrt.f64 230753/100000))) (*.f64 (cbrt.f64 230753/100000) -1/9) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000)))))) (fma.f64 (+.f64 (/.f64 2/27 (pow.f64 (cbrt.f64 230753/100000) 2)) (fma.f64 (cbrt.f64 230753/100000) (fma.f64 2/3 (-.f64 100000/6230331 (/.f64 (/.f64 2/9 (pow.f64 (cbrt.f64 230753/100000) 2)) (cbrt.f64 230753/100000))) 200000/6230331) (fma.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) -5/27) (*.f64 (*.f64 (cbrt.f64 (/.f64 100000/230753 (cbrt.f64 230753/100000))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) 1/27)))) (pow.f64 x 3) 230753/100000)))
(+.f64 (fma.f64 (+.f64 (/.f64 2/27 (pow.f64 (cbrt.f64 230753/100000) 2)) (fma.f64 1/3 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) -5/27) (fma.f64 (cbrt.f64 230753/100000) -400000/18690993 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (*.f64 (cbrt.f64 (/.f64 100000/230753 (cbrt.f64 230753/100000))) 1/27))))) (pow.f64 x 3) 230753/100000) (*.f64 x (-.f64 (*.f64 x (fma.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) (*.f64 (cbrt.f64 (/.f64 100000/230753 (cbrt.f64 230753/100000))) (*.f64 (cbrt.f64 230753/100000) -1/9)))) (cbrt.f64 (*.f64 230753/100000 (cbrt.f64 230753/100000))))))
(cbrt.f64 230753/100000)
(+.f64 (cbrt.f64 230753/100000) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) x)))
(+.f64 (cbrt.f64 230753/100000) (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) x))
(fma.f64 -1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (cbrt.f64 230753/100000))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (*.f64 -1/3 x) (cbrt.f64 230753/100000))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)) 1/3) (pow.f64 x 2))) (+.f64 (cbrt.f64 230753/100000) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) x))))
(fma.f64 -1/9 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)))) (+.f64 (cbrt.f64 230753/100000) (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) x)))
(fma.f64 -1/9 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)))) (fma.f64 -1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (cbrt.f64 230753/100000)))
(fma.f64 -1/9 (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7))))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (*.f64 -1/3 x) (cbrt.f64 230753/100000)))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)) 1/3) (pow.f64 x 2))) (+.f64 (cbrt.f64 230753/100000) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) x)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (pow.f64 1 1/3))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 230753/100000) 2))))))
(fma.f64 -1/9 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)))) (+.f64 (cbrt.f64 230753/100000) (fma.f64 -1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 1/3 (/.f64 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 230753/100000) 2)) (fma.f64 4/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) (*.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))))) (/.f64 (pow.f64 (cbrt.f64 230753/100000) 2) (pow.f64 x 3)))))))
(+.f64 (fma.f64 -1/9 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)))) (fma.f64 -1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (cbrt.f64 230753/100000))) (*.f64 1/3 (*.f64 (/.f64 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 230753/100000) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 2/9)) (pow.f64 (cbrt.f64 230753/100000) 2)) (pow.f64 x 3))))
(fma.f64 -1/9 (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7))))) (fma.f64 -1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)))) (fma.f64 1/3 (*.f64 (pow.f64 x 3) (/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) -5/27) (pow.f64 (cbrt.f64 230753/100000) 2))) (cbrt.f64 230753/100000))))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (*.f64 -1/3 x) (cbrt.f64 230753/100000)) (*.f64 (*.f64 x x) (+.f64 (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 7)))) (*.f64 -500000/18690993 (/.f64 x (cbrt.f64 230753/100000))))))
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 16316775383/10000000000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 16316775383/10000000000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 -70711/100000 x))
(+.f64 16316775383/10000000000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 16316775383/10000000000)

eval761.0ms (9.9%)

Compiler

Compiled 11558 to 8732 computations (24.5% saved)

prune147.0ms (1.9%)

Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New6436649
Fresh2911
Picked101
Done279
Total64822670
Error
0.0b
Counts
670 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.9b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
2.9b
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))) 3)
32.0b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
2.7b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2) (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))
16.2b
(*.f64 70711/100000 (pow.f64 (sqrt.f64 (-.f64 230753/100000 x)) 2))
48.1b
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) x)
57.7b
1913510371/9922900000
✓28.1b
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
32.5b
(*.f64 70711/100000 (pow.f64 (cbrt.f64 (neg.f64 x)) 3))
17.8b
(*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (*.f64 (+.f64 x 230753/100000) 100000/70711)))
✓0.1b
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (+.f64 0 (*.f64 x (*.f64 x 4481/100000)))))))
30.9b
(*.f64 70711/100000 (-.f64 (+.f64 (+.f64 0 (*.f64 1900161040244073/1000000000000000 (*.f64 x x))) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) x))
26.0b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
✓33.2b
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) x))
32.0b
(fma.f64 x -70711/100000 (/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 x 1913510371/10000000000)) 2) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (+.f64 0 (*.f64 x (*.f64 x 4481/100000)))))))
✓32.3b
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
32.5b
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
32.9b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
✓0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
✓31.9b
(*.f64 x -70711/100000)
30.8b
16316775383/10000000000
46.9b
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
Compiler

Compiled 262 to 212 computations (19.1% saved)

regimes111.0ms (1.5%)

Counts
39 → 1
Calls
Call 1
Inputs
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 230753/100000 x))
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) x)
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))
(*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (*.f64 (+.f64 x 230753/100000) 100000/70711)))
(*.f64 70711/100000 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (+.f64 230753/100000 x))))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
(*.f64 70711/100000 (-.f64 (+.f64 (+.f64 0 (*.f64 1900161040244073/1000000000000000 (*.f64 x x))) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(*.f64 70711/100000 (-.f64 (+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) x))
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (+.f64 0 (*.f64 x (*.f64 x 4481/100000)))))))
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
(*.f64 70711/100000 (pow.f64 (cbrt.f64 (neg.f64 x)) 3))
(pow.f64 (sqrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 3)
(*.f64 70711/100000 (pow.f64 (sqrt.f64 (-.f64 230753/100000 x)) 2))
(*.f64 70711/100000 (pow.f64 (cbrt.f64 (-.f64 230753/100000 x)) 3))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) 1)))
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2) (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))))
(fma.f64 x -70711/100000 (/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 x 1913510371/10000000000)) 2) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (+.f64 0 (*.f64 x (*.f64 x 4481/100000)))))))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(fma.f64 x -70711/100000 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 3) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (*.f64 4481/100000 (pow.f64 x 2))))))
(fma.f64 x -70711/100000 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 230753/100000 x))))) 3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1)))) 2) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 99229/100000 1)))))
Outputs
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (+.f64 0 (*.f64 x (*.f64 x 4481/100000)))))))
Calls

5 calls:

41.0ms
x
13.0ms
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
12.0ms
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
12.0ms
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
12.0ms
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
0.1b1(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
0.1b1(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
0.1b1(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Compiler

Compiled 564 to 440 computations (22% saved)

regimes72.0ms (0.9%)

Counts
20 → 1
Calls
Call 1
Inputs
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 230753/100000 x))
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) x)
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))
(*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (*.f64 (+.f64 x 230753/100000) 100000/70711)))
(*.f64 70711/100000 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (+.f64 230753/100000 x))))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
(*.f64 70711/100000 (-.f64 (+.f64 (+.f64 0 (*.f64 1900161040244073/1000000000000000 (*.f64 x x))) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(*.f64 70711/100000 (-.f64 (+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) x))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
Calls

3 calls:

11.0ms
x
8.0ms
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
7.0ms
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
0.1b1(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Compiler

Compiled 237 to 176 computations (25.7% saved)

regimes16.0ms (0.2%)

Counts
18 → 1
Calls
Call 1
Inputs
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 230753/100000 x))
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) x)
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))
(*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (*.f64 (+.f64 x 230753/100000) 100000/70711)))
(*.f64 70711/100000 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (+.f64 230753/100000 x))))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
(*.f64 70711/100000 (-.f64 (+.f64 (+.f64 0 (*.f64 1900161040244073/1000000000000000 (*.f64 x x))) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))) x))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
Calls

1 calls:

11.0ms
x
Results
ErrorSegmentsBranch
0.9b1x
Compiler

Compiled 165 to 119 computations (27.9% saved)

regimes14.0ms (0.2%)

Counts
16 → 1
Calls
Call 1
Inputs
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 230753/100000 x))
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) x)
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 230753/100000 x))
(*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (*.f64 (+.f64 x 230753/100000) 100000/70711)))
(*.f64 70711/100000 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (+.f64 230753/100000 x))))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) x))
Outputs
(*.f64 70711/100000 (-.f64 230753/100000 x))
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
1.3b1x
Compiler

Compiled 133 to 95 computations (28.6% saved)

regimes15.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
Outputs
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 x -70711/100000)
Calls

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch64.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
39.0ms
0.10266196555053207
4.2146016285945445
24.0ms
-23239160.17582378
-0.0002050319247836225
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes13.0ms (0.2%)

Counts
4 → 3
Calls
Call 1
Inputs
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
Outputs
(*.f64 x -70711/100000)
16316775383/10000000000
(*.f64 x -70711/100000)
Calls

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch81.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
0.10266196555053207
4.2146016285945445
54.0ms
-23239160.17582378
-0.0002050319247836225
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes5.0ms (0.1%)

Accuracy

Total -26.9b remaining (-87.2%)

Threshold costs -26.9b (-87.2%)

Counts
2 → 1
Calls
Call 1
Inputs
1913510371/9922900000
16316775383/10000000000
Outputs
16316775383/10000000000
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
30.8b1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
13×+-commutative_binary64
12×*-commutative_binary64
4×sub-neg_binary64
1×+-lft-identity_binary64
1×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051136
177136
283136
385136
486136
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (+.f64 0 (*.f64 x (*.f64 x 4481/100000)))))))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
(*.f64 70711/100000 (-.f64 230753/100000 x))
(if (<=.f64 x -99811432941668752/4294967296) (*.f64 x -70711/100000) (if (<=.f64 x 1893779004614651648/18446744073709551616) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -99811432941668752/4294967296) (*.f64 x -70711/100000) (if (<=.f64 x 1893779004614651648/18446744073709551616) 16316775383/10000000000 (*.f64 x -70711/100000)))
16316775383/10000000000
1913510371/9922900000
Outputs
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (*.f64 99229/100000 x) (+.f64 1 (+.f64 0 (*.f64 x (*.f64 x 4481/100000)))))))
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (+.f64 (+.f64 1 (*.f64 x (*.f64 x 4481/100000))) (*.f64 x 99229/100000))))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
(*.f64 70711/100000 (-.f64 230753/100000 x))
(if (<=.f64 x -99811432941668752/4294967296) (*.f64 x -70711/100000) (if (<=.f64 x 1893779004614651648/18446744073709551616) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -6238214558854297/268435456) (*.f64 x -70711/100000) (if (<=.f64 x 7397574236775983/72057594037927936) (+.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)) (*.f64 x -70711/100000)))
(if (<=.f64 x -99811432941668752/4294967296) (*.f64 x -70711/100000) (if (<=.f64 x 1893779004614651648/18446744073709551616) 16316775383/10000000000 (*.f64 x -70711/100000)))
(if (<=.f64 x -6238214558854297/268435456) (*.f64 x -70711/100000) (if (<=.f64 x 7397574236775983/72057594037927936) 16316775383/10000000000 (*.f64 x -70711/100000)))
16316775383/10000000000
1913510371/9922900000
Compiler

Compiled 103 to 81 computations (21.4% saved)

soundness245.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
706×fma-def_binary64
684×fma-neg_binary64
659×associate-/l*_binary64
582×associate-/r*_binary64
298×distribute-rgt-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01728
13422
26922
310922
415522
519720
629420
753120
8116020
9232820
10487020
11609020
Stop Event
1×node limit
Compiler

Compiled 603 to 495 computations (17.9% saved)

end71.0ms (0.9%)

Compiler

Compiled 96 to 74 computations (22.9% saved)

Profiling

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