Details

Time bar (total: 9.6s)

analyze9.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
50%50%50%0%0%0%0%4
75%75%25%0%0%0%0%5
87.5%87.5%12.5%0%0%0%0%6
93.8%93.7%6.2%0%0%0%0%7
96.9%96.8%3.1%0%0%0%0%8
98.4%98.4%1.6%0%0%0%0%9
99.2%99.2%0.8%0%0%0%0%10
99.6%99.6%0.4%0%0%0%0%11
99.8%99.8%0.2%0%0%0%0%12
Compiler

Compiled 21 to 17 computations (19% saved)

sample1.3s (13.4%)

Results
1.3s8256×body256valid
Bogosity

preprocess93.0ms (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)

simplify76.0ms (0.8%)

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)

localize62.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
✓0.4b
(*.f64 x 4481/100000)
✓0.4b
(*.f64 x 27061/100000)
✓14.3b
(/.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)

series7.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
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 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)))))

rewrite114.0ms (1.2%)

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)))))))

simplify64.0ms (0.7%)

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))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓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)))
✓0.2b
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
✓0.2b
(fma.f64 x 4481/100000 99229/100000)
✓14.3b
(/.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
@0
(fma.f64 x -70711/100000 (/.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 4481/100000 99229/100000)

rewrite105.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
573×unpow-prod-down_binary64
488×log-prod_binary64
317×pow2_binary64
253×pow-prod-down_binary64
223×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01346
126746
2294946
Stop Event
1×node limit
Counts
4 → 166
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 4481/100000 99229/100000)
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (log.f64 (cbrt.f64 (exp.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 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.f64 (exp.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 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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 1 (/.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 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (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 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 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#<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 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 (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (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) (/.f64 (fma.f64 x 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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 (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -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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16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1))))))

simplify73.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
820×distribute-neg-frac_binary64
511×fma-def_binary64
417×times-frac_binary64
400×distribute-rgt-neg-in_binary64
290×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059470
1147436
2343432
3901420
42558420
56287420
Stop Event
1×node limit
Counts
214 → 204
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)))))
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))
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))
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 (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000))
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (fma.f64 x (fma.f64 x 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 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 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 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 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 (/.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 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (-.f64 (/.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 (/.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 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 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 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 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 (/.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 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (-.f64 (/.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 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
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)
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)
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 -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 (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))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 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 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 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 -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 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 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 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 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 -3648757816023/62748003125 (*.f64 x x)))))

eval216.0ms (2.3%)

Compiler

Compiled 7780 to 6110 computations (21.5% saved)

prune109.0ms (1.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New33413347
Fresh000
Picked101
Done011
Total33514349
Error
0.0b
Counts
349 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.9b
(*.f64 x -70711/100000)
✓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))
21.7b
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) (+.f64 (pow.f64 (*.f64 x -70711/100000) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
▶15.8b
(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)))
▶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)))
2.1b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 2) 3) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
27.2b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
1.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
1.5b
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
31.8b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
30.8b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
▶27.2b
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
▶1.5b
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
16.1b
(pow.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)
Compiler

Compiled 562 to 442 computations (21.4% saved)

localize55.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓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)))
0.2b
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
0.4b
(*.f64 x 4481/100000)
✓14.3b
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
Compiler

Compiled 57 to 44 computations (22.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
0.0ms
x
@inf
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
0.0ms
x
@-inf
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
0.0ms
x
@0
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
0.0ms
x
@-inf
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))

rewrite81.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
574×log-prod_binary64
360×pow2_binary64
315×prod-diff_binary64
252×log1p-udef_binary64
251×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01436
129836
2346736
Stop Event
1×node limit
Counts
2 → 69
Calls
Call 1
Inputs
(/.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) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
Outputs
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(*.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 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 (fma.f64 x 4481/100000 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 (fma.f64 x 4481/100000 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 (fma.f64 x 4481/100000 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 (fma.f64 x 4481/100000 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 (fma.f64 x 4481/100000 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 (fma.f64 x 4481/100000 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 (fma.f64 x 4481/100000 99229/100000) 1)))) 1))))))

simplify69.0ms (0.7%)

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
93 → 97
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))))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.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)

rewrite62.0ms (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))))))

simplify8.0ms (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)

localize11.0ms (0.1%)

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
2.0ms
x
@-inf
(*.f64 -20191289437/10000000000 x)
1.0ms
x
@0
(*.f64 -20191289437/10000000000 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))
0.0ms
x
@-inf
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))

rewrite105.0ms (1.1%)

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))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 16316775383/10000000000 (*.f64 (*.f64 x -30191289437/10000000000) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 16316775383/10000000000 (*.f64 70711/100000 (*.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 70711/100000) (*.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 70711/100000 (fma.f64 -20191289437/10000000000 x 230753/100000)) (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 70711/100000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 70711/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3) (pow.f64 x 3)) 70711/100000) (fma.f64 x (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (*.f64 x x)) 70711/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (*.f64 x x))) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 2) 5000045521/10000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 3) 353558218835431/1000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 2) 5000045521/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 3) 353558218835431/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 70711/100000 (fma.f64 -20191289437/10000000000 x 230753/100000) (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 70711/100000 (*.f64 (neg.f64 x) 70711/100000))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -20191289437/10000000000 x) (-.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -20191289437/10000000000 x) (+.f64 230753/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 230753/100000 (*.f64 x -30191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 230753/100000 (*.f64 (*.f64 x -30191289437/10000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -30191289437/10000000000 230753/100000) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -30191289437/10000000000 230753/100000) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -30191289437/10000000000 230753/100000) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -30191289437/10000000000 230753/100000) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -30191289437/10000000000 230753/100000) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 -20191289437/10000000000 x 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -30191289437/10000000000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x -30191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -30191289437/10000000000 230753/100000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 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simplify14.0ms (0.1%)

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)

localize45.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (*.f64 x 1913510371/10000000000) 2)
✓0.3b
(*.f64 x 1913510371/10000000000)
✓14.3b
(/.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))
✓14.8b
(/.f64 (-.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))
Compiler

Compiled 95 to 76 computations (20% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (-.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))
1.0ms
x
@-inf
(/.f64 (-.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))
1.0ms
x
@inf
(/.f64 (-.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))
0.0ms
x
@inf
(/.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))
0.0ms
x
@-inf
(/.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))

rewrite187.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
756×log-prod_binary64
304×log1p-udef_binary64
303×expm1-udef_binary64
233×log-pow_binary64
219×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01756
137652
2461052
Stop Event
1×node limit
Counts
4 → 189
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))
(/.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))
(*.f64 x 1913510371/10000000000)
(pow.f64 (*.f64 x 1913510371/10000000000) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 3661521939924557641/100000000000000000000 (*.f64 x x) -266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 266237158899274796689/100000000000000000000 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)))) (sqrt.f64 (/.f64 266237158899274796689/100000000000000000000 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (/.f64 266237158899274796689/100000000000000000000 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 3661521939924557641/100000000000000000000 (*.f64 x x) -266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (neg.f64 (/.f64 266237158899274796689/100000000000000000000 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 2)) (/.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) (cbrt.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (/.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) (sqrt.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (*.f64 x 1913510371/10000000000) 1) (/.f64 (*.f64 x 1913510371/10000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1913510371/10000000000)) 2) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (*.f64 x x) 1) (/.f64 3661521939924557641/100000000000000000000 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (*.f64 x 1913510371/10000000000) (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 2)) (/.f64 (*.f64 x 1913510371/10000000000) (cbrt.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 4)) (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1913510371/10000000000)) 2) (cbrt.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 2)) (/.f64 3661521939924557641/100000000000000000000 (cbrt.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (*.f64 x 1913510371/10000000000) (sqrt.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (/.f64 (*.f64 x 1913510371/10000000000) (sqrt.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 4)) (sqrt.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1913510371/10000000000)) 2) (sqrt.f64 (fma.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 x 1913510371/10000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1913510371/10000000000 (*.f64 x 1913510371/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1913510371/10000000000 (*.f64 x (*.f64 x 1913510371/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1913510371/10000000000) (*.f64 x 1913510371/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x 1913510371/10000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3661521939924557641/100000000000000000000 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1913510371/10000000000)) 2) (cbrt.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1913510371/10000000000)) 2) (*.f64 (cbrt.f64 (*.f64 x 1913510371/10000000000)) (*.f64 x 1913510371/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 4)) (pow.f64 (cbrt.f64 (*.f64 x 1913510371/10000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1913510371/10000000000)) (*.f64 (sqrt.f64 (*.f64 x 1913510371/10000000000)) (*.f64 x 1913510371/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 1913510371/10000000000) (sqrt.f64 (*.f64 x 1913510371/10000000000))) (sqrt.f64 (*.f64 x 1913510371/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 1913510371/10000000000) x) 1913510371/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 1913510371/10000000000) 1913510371/10000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 1913510371/10000000000) (pow.f64 (cbrt.f64 (*.f64 x 1913510371/10000000000)) 2)) (cbrt.f64 (*.f64 x 1913510371/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2)) 1))))))

simplify92.0ms (1%)

Algorithm
1×egg-herbie
Rules
814×distribute-neg-frac_binary64
788×fma-def_binary64
417×times-frac_binary64
385×distribute-rgt-neg-in_binary64
288×associate-*r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
045385
1110365
2260363
3681357
42046354
56050354
Stop Event
1×node limit
Counts
237 → 208
Calls
Call 1
Inputs
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))
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)
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
Outputs
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -1427746267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(fma.f64 -1427746267379707/1000000000000000 x (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))))
(fma.f64 x -1427746267379707/1000000000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x -1427746267379707/1000000000000000 (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 x -1427746267379707/1000000000000000 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(fma.f64 x -1427746267379707/1000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) (fma.f64 x -1427746267379707/1000000000000000 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 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 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 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 (/.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 (+.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 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 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 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 (/.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 (+.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 1913510371/10000000000 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)
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))

localize105.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 x 4481/100000 99229/100000)
✓0.3b
(cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
✓0.8b
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)
14.3b
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
Compiler

Compiled 120 to 92 computations (23.3% saved)

series12.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@0
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)
1.0ms
x
@0
(cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
1.0ms
x
@inf
(cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))

rewrite145.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
569×log-prod_binary64
367×pow2_binary64
305×pow-prod-down_binary64
259×log1p-udef_binary64
258×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01647
132947
2353347
Stop Event
1×node limit
Counts
2 → 49
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)
(cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 x -70711/100000 (/.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.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 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 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(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x -70711/100000 (/.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 pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.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 log.f64 (exp.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.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 log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.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 expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.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 log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.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 exp.f64 (log.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.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 exp.f64 (*.f64 (log.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 1))))))

simplify75.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
562×distribute-rgt-in_binary64
547×distribute-lft-in_binary64
294×cancel-sign-sub-inv_binary64
278×times-frac_binary64
242×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075426
1208414
2682372
33654369
Stop Event
1×node limit
Counts
57 → 63
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 16316775383/10000000000) 2)
(+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (*.f64 (cbrt.f64 16316775383/10000000000) 1) 1/3) x)))
(+.f64 (*.f64 (+.f64 (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) 1/3)) (*.f64 2/3 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (cbrt.f64 16316775383/10000000000)))) (pow.f64 x 2)) (+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (*.f64 (cbrt.f64 16316775383/10000000000) 1) 1/3) x))))
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (+.f64 12692862305735843227608787/10000000000000000000000000 (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))))))) (cbrt.f64 16316775383/10000000000))) (*.f64 -2134856267379707/4500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 8)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3)))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) 1/3)) (*.f64 2/3 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (cbrt.f64 16316775383/10000000000)))) (pow.f64 x 2)) (+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (*.f64 (cbrt.f64 16316775383/10000000000) 1) 1/3) x)))))
(cbrt.f64 16316775383/10000000000)
(+.f64 (cbrt.f64 16316775383/10000000000) (*.f64 -2134856267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)))
(+.f64 (cbrt.f64 16316775383/10000000000) (+.f64 (*.f64 -2134856267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))))
(+.f64 (cbrt.f64 16316775383/10000000000) (+.f64 (*.f64 -2134856267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (+.f64 12692862305735843227608787/10000000000000000000000000 (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))))
Outputs
(pow.f64 (cbrt.f64 16316775383/10000000000) 2)
(+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (*.f64 (cbrt.f64 16316775383/10000000000) 1) 1/3) x)))
(+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x)))
(fma.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))
(+.f64 (*.f64 (+.f64 (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) 1/3)) (*.f64 2/3 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (cbrt.f64 16316775383/10000000000)))) (pow.f64 x 2)) (+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (*.f64 (cbrt.f64 16316775383/10000000000) 1) 1/3) x))))
(fma.f64 (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4))) (*.f64 2/3 (/.f64 (+.f64 134362287316698645903/100000000000000000000 (*.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (cbrt.f64 16316775383/10000000000)))) (*.f64 x x) (+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x))))
(fma.f64 (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4))) (*.f64 2/3 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (cbrt.f64 16316775383/10000000000)))) (*.f64 x x) (fma.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))
(fma.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x) (fma.f64 (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 10000000000/16316775383 (cbrt.f64 16316775383/10000000000))) (/.f64 (+.f64 44787429105566215301/50000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/4500000000000000000000000000000)) (cbrt.f64 16316775383/10000000000))) (*.f64 x x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))
(fma.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x) (fma.f64 x (*.f64 x (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 10000000000/16316775383 (cbrt.f64 16316775383/10000000000))) (/.f64 (+.f64 44787429105566215301/50000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/4500000000000000000000000000000)) (cbrt.f64 16316775383/10000000000)))) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (+.f64 12692862305735843227608787/10000000000000000000000000 (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))))))) (cbrt.f64 16316775383/10000000000))) (*.f64 -2134856267379707/4500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 8)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3)))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 4557611282370415026291715405849/9000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) 1/3)) (*.f64 2/3 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (cbrt.f64 16316775383/10000000000)))) (pow.f64 x 2)) (+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (*.f64 (cbrt.f64 16316775383/10000000000) 1) 1/3) x)))))
(fma.f64 (fma.f64 2/3 (/.f64 (-.f64 (-.f64 (/.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 12692862305735843227608787/10000000000000000000000000) (*.f64 -2134856267379707/1500000000000000 (*.f64 (+.f64 134362287316698645903/100000000000000000000 (*.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)))))) (cbrt.f64 16316775383/10000000000)) (*.f64 -2134856267379707/4500000000000000 (*.f64 (+.f64 134362287316698645903/100000000000000000000 (*.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 8)))))) (pow.f64 x 3) (fma.f64 (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4))) (*.f64 2/3 (/.f64 (+.f64 134362287316698645903/100000000000000000000 (*.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (cbrt.f64 16316775383/10000000000)))) (*.f64 x x) (+.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x)))))
(fma.f64 (fma.f64 2/3 (/.f64 (-.f64 (/.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (fma.f64 -2134856267379707/1500000000000000 (*.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)))) 12692862305735843227608787/10000000000000000000000000)) (cbrt.f64 16316775383/10000000000)) (*.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (*.f64 -2134856267379707/4500000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 8)))))) (pow.f64 x 3) (fma.f64 (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4))) (*.f64 2/3 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (cbrt.f64 16316775383/10000000000)))) (*.f64 x x) (fma.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))
(fma.f64 x (*.f64 x (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 10000000000/16316775383 (cbrt.f64 16316775383/10000000000))) (/.f64 (+.f64 44787429105566215301/50000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/4500000000000000000000000000000)) (cbrt.f64 16316775383/10000000000)))) (fma.f64 (fma.f64 2/3 (-.f64 137600161367381935504587144613219081717013/623033100000000000000000000000000000000000 (/.f64 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (*.f64 -2134856267379707/1500000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)))) 12692862305735843227608787/10000000000000000000000000) (cbrt.f64 16316775383/10000000000))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (*.f64 -2134856267379707/4500000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 8)))))) (pow.f64 x 3) (fma.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))
(fma.f64 x (*.f64 x (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 10000000000/16316775383 (cbrt.f64 16316775383/10000000000))) (/.f64 (+.f64 44787429105566215301/50000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/4500000000000000000000000000000)) (cbrt.f64 16316775383/10000000000)))) (fma.f64 (fma.f64 2/3 (+.f64 137600161367381935504587144613219081717013/623033100000000000000000000000000000000000 (/.f64 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5))) 2134856267379707/1500000000000000) -12692862305735843227608787/10000000000000000000000000) (cbrt.f64 16316775383/10000000000))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (*.f64 -2134856267379707/4500000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 8)))))) (pow.f64 x 3) (fma.f64 -2134856267379707/1500000000000000 (*.f64 (cbrt.f64 (cbrt.f64 16316775383/10000000000)) x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))
(cbrt.f64 16316775383/10000000000)
(+.f64 (cbrt.f64 16316775383/10000000000) (*.f64 -2134856267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)))
(+.f64 (cbrt.f64 16316775383/10000000000) (*.f64 -2134856267379707/3000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))))
(fma.f64 -2134856267379707/3000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (cbrt.f64 16316775383/10000000000))
(fma.f64 x (*.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (cbrt.f64 16316775383/10000000000))
(+.f64 (cbrt.f64 16316775383/10000000000) (+.f64 (*.f64 -2134856267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))))
(+.f64 (cbrt.f64 16316775383/10000000000) (fma.f64 -2134856267379707/3000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (*.f64 1/3 (/.f64 (+.f64 134362287316698645903/100000000000000000000 (*.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (/.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 x x))))))
(+.f64 (cbrt.f64 16316775383/10000000000) (fma.f64 1/3 (*.f64 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (*.f64 x x)) (*.f64 x (*.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))))))
(fma.f64 1/3 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (fma.f64 x (*.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (cbrt.f64 16316775383/10000000000)))
(fma.f64 1/3 (*.f64 x (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (/.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) x))) (fma.f64 x (*.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (cbrt.f64 16316775383/10000000000)))
(+.f64 (cbrt.f64 16316775383/10000000000) (+.f64 (*.f64 -2134856267379707/3000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (+.f64 12692862305735843227608787/10000000000000000000000000 (*.f64 -2134856267379707/1500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))))
(+.f64 (cbrt.f64 16316775383/10000000000) (fma.f64 -2134856267379707/3000000000000000 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (*.f64 1/3 (+.f64 (/.f64 (+.f64 134362287316698645903/100000000000000000000 (*.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (/.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (*.f64 x x))) (/.f64 (-.f64 (-.f64 (/.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 12692862305735843227608787/10000000000000000000000000) (*.f64 -2134856267379707/1500000000000000 (*.f64 (+.f64 134362287316698645903/100000000000000000000 (*.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)))))) (/.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (pow.f64 x 3)))))))
(+.f64 (cbrt.f64 16316775383/10000000000) (fma.f64 1/3 (+.f64 (*.f64 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (/.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (fma.f64 -2134856267379707/1500000000000000 (*.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)))) 12692862305735843227608787/10000000000000000000000000)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (pow.f64 x 3))) (*.f64 x (*.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))))))
(fma.f64 1/3 (fma.f64 (-.f64 137600161367381935504587144613219081717013/623033100000000000000000000000000000000000 (/.f64 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (*.f64 -2134856267379707/1500000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)))) 12692862305735843227608787/10000000000000000000000000) (cbrt.f64 16316775383/10000000000))) (/.f64 (pow.f64 x 3) (cbrt.f64 16316775383/10000000000)) (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (fma.f64 x (*.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (cbrt.f64 16316775383/10000000000)))
(fma.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (+.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (*.f64 x (+.f64 (/.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5))) 2134856267379707/1500000000000000) -12692862305735843227608787/10000000000000000000000000))))) (fma.f64 x (*.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (cbrt.f64 16316775383/10000000000)))

eval1.1s (11.2%)

Compiler

Compiled 29393 to 23276 computations (20.8% saved)

prune357.0ms (3.7%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New95112963
Fresh448
Picked101
Done325
Total95918977
Error
0.0b
Counts
977 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.9b
(*.f64 x -70711/100000)
✓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))
▶31.8b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
51.7b
(/.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))))
▶51.7b
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
21.7b
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) (+.f64 (pow.f64 (*.f64 x -70711/100000) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
2.6b
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) (cbrt.f64 (fma.f64 x -70711/100000 16316775383/10000000000)))
1.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
27.2b
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
1.9b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
31.5b
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
▶15.8b
(fma.f64 x -70711/100000 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
▶27.2b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
30.8b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
15.5b
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
46.8b
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
31.9b
16316775383/10000000000
▶0.1b
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
Compiler

Compiled 704 to 561 computations (20.3% saved)

localize44.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
0.3b
(*.f64 x 1913510371/10000000000)
0.4b
(*.f64 x 4481/100000)
✓14.3b
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
Compiler

Compiled 63 to 49 computations (22.2% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
1.0ms
x
@-inf
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
1.0ms
x
@inf
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
0.0ms
x
@inf
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
0.0ms
x
@-inf
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))

rewrite128.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
662×log-prod_binary64
473×prod-diff_binary64
280×log1p-udef_binary64
279×expm1-udef_binary64
253×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01536
132836
2397836
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x -70711/100000 (/.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 (*.f64 x -70711/100000) (/.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 (*.f64 (*.f64 x -70711/100000) 1) (/.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 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -70711/100000 (/.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 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (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 -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)) (cbrt.f64 (fma.f64 x 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simplify126.0ms (1.3%)

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
89 → 93
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))))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
✓0.3b
(*.f64 -2134856267379707/1000000000000000 x)
Compiler

Compiled 12 to 9 computations (25% saved)

series7.0ms (0.1%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
1.0ms
x
@inf
(*.f64 -2134856267379707/1000000000000000 x)
1.0ms
x
@0
(*.f64 -2134856267379707/1000000000000000 x)
1.0ms
x
@-inf
(*.f64 -2134856267379707/1000000000000000 x)
1.0ms
x
@inf
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)

rewrite112.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
642×pow1_binary64
607×add-log-exp_binary64
607×log1p-expm1-u_binary64
607×expm1-log1p-u_binary64
598×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11339
215899
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2134856267379707/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2134856267379707/1000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2134856267379707/1000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2134856267379707/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2134856267379707/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2134856267379707/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2134856267379707/1000000000000000 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2) (fma.f64 -2134856267379707/1000000000000000 x -16316775383/10000000000)) (/.f64 266237158899274796689/100000000000000000000 (fma.f64 -2134856267379707/1000000000000000 x -16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) 2) (cbrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) (sqrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (*.f64 (pow.f64 x 3) -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2) (-.f64 266237158899274796689/100000000000000000000 (*.f64 x -34833970189824469091352781/10000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2) -266237158899274796689/100000000000000000000) (/.f64 1 (fma.f64 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-2134856267379707/1000000000000000 x) 2) (-.f64 266237158899274796689/100000000000000000000 (*.f64 x -34833970189824469091352781/10000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (*.f64 (pow.f64 x 3) -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000)) (+.f64 266237158899274796689/100000000000000000000 (-.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2) (*.f64 x -34833970189824469091352781/10000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2) -266237158899274796689/100000000000000000000) (fma.f64 -2134856267379707/1000000000000000 x -16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (*.f64 (pow.f64 x 3) -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000))) (neg.f64 (+.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2) (-.f64 266237158899274796689/100000000000000000000 (*.f64 x -34833970189824469091352781/10000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2) -266237158899274796689/100000000000000000000)) (neg.f64 (fma.f64 -2134856267379707/1000000000000000 x -16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 266237158899274796689/100000000000000000000 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2)) (-.f64 16316775383/10000000000 (*.f64 -2134856267379707/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2134856267379707/1000000000000000 x)) 2) (cbrt.f64 (*.f64 -2134856267379707/1000000000000000 x)) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2134856267379707/1000000000000000 x)) (sqrt.f64 (*.f64 -2134856267379707/1000000000000000 x)) 16316775383/10000000000)))))

simplify13.0ms (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
16316775383/10000000000
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
Outputs
16316775383/10000000000
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
✓0.1b
(/.f64 (/.f64 -1651231776/20079361 x) x)
✓0.3b
(/.f64 27061/4481 x)
✓0.4b
(/.f64 -1651231776/20079361 x)
Compiler

Compiled 49 to 33 computations (32.7% saved)

series13.0ms (0.1%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/.f64 -1651231776/20079361 x)
1.0ms
x
@0
(/.f64 (/.f64 -1651231776/20079361 x) x)
1.0ms
x
@0
(/.f64 -1651231776/20079361 x)
1.0ms
x
@0
(/.f64 27061/4481 x)
1.0ms
x
@0
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))

rewrite107.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
697×fma-def_binary64
619×log-prod_binary64
357×fma-neg_binary64
301×log-div_binary64
237×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01134
126634
2406434
Stop Event
1×node limit
Counts
4 → 118
Calls
Call 1
Inputs
(/.f64 -1651231776/20079361 x)
(/.f64 27061/4481 x)
(/.f64 (/.f64 -1651231776/20079361 x) x)
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1651231776/20079361 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1651231776/20079361 x))) (cbrt.f64 (exp.f64 (/.f64 -1651231776/20079361 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1651231776/20079361 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1651231776/20079361 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1651231776/20079361 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1651231776/20079361 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1651231776/20079361 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1651231776/20079361 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1651231776/20079361 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1651231776/20079361 x)) (pow.f64 (cbrt.f64 (/.f64 -1651231776/20079361 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1651231776/20079361 x)) 2) (cbrt.f64 (/.f64 -1651231776/20079361 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1651231776/20079361 x)) (sqrt.f64 (/.f64 -1651231776/20079361 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1651231776/20079361 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) -1651231776/20079361)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1651231776/20079361 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1651231776/20079361 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1651231776/20079361 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1651231776/20079361 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -20079361/1651231776) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1651231776/20079361 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1651231776/20079361 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1651231776/20079361 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1651231776/20079361 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1651231776/20079361 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1651231776/20079361 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1651231776/20079361 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1651231776/20079361 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 27061/4481 x))) (cbrt.f64 (exp.f64 (/.f64 27061/4481 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 27061/4481 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 27061/4481 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 27061/4481 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 27061/4481 x)) (cbrt.f64 (/.f64 732297721/20079361 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 732297721/20079361 (*.f64 x x))) (cbrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 27061/4481 x)) (sqrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -27061/4481 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) 27061/4481)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 27061/4481 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4481/27061) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 732297721/20079361 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 27061/4481 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1651231776/20079361 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1651231776/20079361 (*.f64 x x)))) (cbrt.f64 (exp.f64 (/.f64 -1651231776/20079361 (*.f64 x x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1651231776/20079361 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1651231776/20079361 (*.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1651231776/20079361 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1651231776/20079361 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1651231776/20079361 (*.f64 (pow.f64 x -1) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1651231776/20079361 (/.f64 (pow.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1651231776/20079361 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) 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simplify59.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
751×times-frac_binary64
600×associate-/l/_binary64
434×unswap-sqr_binary64
397×distribute-neg-frac_binary64
317×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022230
150230
292230
3173230
4440230
51435230
66048230
Stop Event
1×node limit
Counts
142 → 131
Calls
Call 1
Inputs
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 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 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 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x 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 (*.f64 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.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 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.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 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x))
(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 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.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 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.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 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x))
(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 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.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 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.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)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
✓38.4b
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series7.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
2.0ms
x
@0
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
1.0ms
x
@0
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
1.0ms
x
@inf
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
1.0ms
x
@inf
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))

rewrite77.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
581×pow1_binary64
550×add-log-exp_binary64
550×log1p-expm1-u_binary64
550×expm1-log1p-u_binary64
537×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114913
2153513
Stop Event
1×node limit
Counts
2 → 34
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cbrt.f64 -353558218835431/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -353558218835431/1000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 2) (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 2) 1/3) (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 -353558218835431/1000000000000000) (pow.f64 x 3/2)) 1/3) (pow.f64 (*.f64 (sqrt.f64 -353558218835431/1000000000000000) (pow.f64 x 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))))) (#(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 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -353558218835431/1000000000000000) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 125003414106082515941860955761/1000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -353558218835431/1000000000000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))))))))

simplify16.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
42×fma-def_binary64
9×sub-neg_binary64
6×+-commutative_binary64
6×distribute-rgt-in_binary64
5×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01080
11680
22980
33380
43780
55580
67780
78880
810480
913780
Stop Event
1×saturated
Counts
46 → 36
Calls
Call 1
Inputs
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 -1 (*.f64 (cbrt.f64 353558218835431/1000000000000000) x))
(*.f64 -1 (*.f64 (cbrt.f64 353558218835431/1000000000000000) x))
(*.f64 -1 (*.f64 (cbrt.f64 353558218835431/1000000000000000) x))
(*.f64 -1 (*.f64 (cbrt.f64 353558218835431/1000000000000000) x))
Outputs
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 -1 (*.f64 (cbrt.f64 353558218835431/1000000000000000) x))
(neg.f64 (*.f64 x (cbrt.f64 353558218835431/1000000000000000)))
(*.f64 (cbrt.f64 353558218835431/1000000000000000) (neg.f64 x))
(*.f64 -1 (*.f64 (cbrt.f64 353558218835431/1000000000000000) x))
(neg.f64 (*.f64 x (cbrt.f64 353558218835431/1000000000000000)))
(*.f64 (cbrt.f64 353558218835431/1000000000000000) (neg.f64 x))
(*.f64 -1 (*.f64 (cbrt.f64 353558218835431/1000000000000000) x))
(neg.f64 (*.f64 x (cbrt.f64 353558218835431/1000000000000000)))
(*.f64 (cbrt.f64 353558218835431/1000000000000000) (neg.f64 x))
(*.f64 -1 (*.f64 (cbrt.f64 353558218835431/1000000000000000) x))
(neg.f64 (*.f64 x (cbrt.f64 353558218835431/1000000000000000)))
(*.f64 (cbrt.f64 353558218835431/1000000000000000) (neg.f64 x))

localize52.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
0.2b
(fma.f64 x 4481/100000 99229/100000)
✓14.3b
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
✓14.8b
(/.f64 (-.f64 (*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))
Compiler

Compiled 95 to 65 computations (31.6% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))
0.0ms
x
@inf
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
0.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))
0.0ms
x
@0
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)

rewrite229.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
773×log-prod_binary64
304×log1p-udef_binary64
303×expm1-udef_binary64
244×fma-def_binary64
231×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01748
137248
2463748
Stop Event
1×node limit
Counts
3 → 184
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 x (*.f64 x 3661521939924557641/100000000000000000000) -266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 266237158899274796689/100000000000000000000 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)))) (sqrt.f64 (/.f64 266237158899274796689/100000000000000000000 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (/.f64 266237158899274796689/100000000000000000000 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x (*.f64 x 3661521939924557641/100000000000000000000) -266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000) 3661521939924557641/100000000000000000000)) (neg.f64 (/.f64 266237158899274796689/100000000000000000000 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 3661521939924557641/100000000000000000000 (/.f64 (*.f64 x x) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x (*.f64 x 3661521939924557641/100000000000000000000)) (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000) 3661521939924557641/100000000000000000000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000) 3661521939924557641/100000000000000000000))) (cbrt.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000) 3661521939924557641/100000000000000000000)))) (cbrt.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000) 3661521939924557641/100000000000000000000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000) 3661521939924557641/100000000000000000000))) (sqrt.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000) 3661521939924557641/100000000000000000000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 2)) (/.f64 (*.f64 x (*.f64 x 3661521939924557641/100000000000000000000)) (cbrt.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (/.f64 (*.f64 x (*.f64 x 3661521939924557641/100000000000000000000)) (sqrt.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000))) 266237158899274796689/100000000000000000000 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 x 1) (/.f64 (*.f64 x 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3661521939924557641/100000000000000000000) -266237158899274796689/100000000000000000000) (*.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x 3661521939924557641/100000000000000000000) -266237158899274796689/100000000000000000000) (*.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 log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 3661521939924557641/100000000000000000000) -266237158899274796689/100000000000000000000) (*.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 cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 3661521939924557641/100000000000000000000) -266237158899274796689/100000000000000000000) (*.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 3661521939924557641/100000000000000000000) -266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) 3) (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 (/.f64 (fma.f64 x (*.f64 x 3661521939924557641/100000000000000000000) -266237158899274796689/100000000000000000000) (*.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 log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 3661521939924557641/100000000000000000000) -266237158899274796689/100000000000000000000) (*.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 exp.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 3661521939924557641/100000000000000000000) -266237158899274796689/100000000000000000000) (*.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 exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 3661521939924557641/100000000000000000000) -266237158899274796689/100000000000000000000) (*.f64 (fma.f64 x 1913510371/10000000000 -16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 3661521939924557641/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3661521939924557641/100000000000000000000)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3661521939924557641/100000000000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3661521939924557641/100000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3661521939924557641/100000000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3661521939924557641/100000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 3661521939924557641/100000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3661521939924557641/100000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1913510371/10000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 49089083331871935088861898264143759253756346855804525721/1000000000000000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 13406742916548895894637978629531484881/10000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3661521939924557641/100000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3661521939924557641/100000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 49089083331871935088861898264143759253756346855804525721/1000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x 1913510371/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 1913510371/10000000000))) 1))))))

simplify70.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
814×distribute-neg-frac_binary64
788×fma-def_binary64
417×times-frac_binary64
385×distribute-rgt-neg-in_binary64
288×associate-*r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
045337
1110317
2260315
3681309
42046306
56050306
Stop Event
1×node limit
Counts
220 → 203
Calls
Call 1
Inputs
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))
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 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
Outputs
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(fma.f64 1913510371/10000000000 x 16316775383/10000000000)
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -1427746267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(fma.f64 -1427746267379707/1000000000000000 x (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x))))
(fma.f64 x -1427746267379707/1000000000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x -1427746267379707/1000000000000000 (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 x -1427746267379707/1000000000000000 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(fma.f64 x -1427746267379707/1000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) (fma.f64 x -1427746267379707/1000000000000000 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 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 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 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 (/.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 (+.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 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 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 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 (/.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 (+.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 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))
(*.f64 3661521939924557641/100000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000)
(*.f64 x (*.f64 x 3661521939924557641/100000000000000000000))

eval597.0ms (6.2%)

Compiler

Compiled 15282 to 11897 computations (22.2% saved)

prune124.0ms (1.3%)

Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New5728580
Fresh5611
Picked101
Done066
Total57820598
Error
0.0b
Counts
598 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
▶51.7b
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3))
✓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))
✓30.9b
(*.f64 x -70711/100000)
✓31.8b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
51.7b
(/.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))))
15.5b
(*.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))
46.8b
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
▶31.2b
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
15.8b
(fma.f64 x -70711/100000 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
48.3b
(*.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))
31.4b
(*.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
31.9b
16316775383/10000000000
✓0.1b
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
▶47.1b
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) 2) (*.f64 x x)) 70711/100000) (fma.f64 (pow.f64 x -1) (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x))
✓27.2b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
30.8b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
✓51.7b
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
▶1.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
27.2b
(+.f64 (-.f64 (+.f64 1 (*.f64 -2134856267379707/1000000000000000 x)) 1) 16316775383/10000000000)
▶27.2b
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
Compiler

Compiled 479 to 378 computations (21.1% saved)

localize48.0ms (0.5%)

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)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
1.0ms
x
@inf
(*.f64 x 99229/100000)
1.0ms
x
@0
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))
1.0ms
x
@-inf
(*.f64 x 99229/100000)
1.0ms
x
@inf
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))

rewrite117.0ms (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 230753/100000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 1) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (cbrt.f64 (pow.f64 (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 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2))) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 99229/100000 1))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (sqrt.f64 (fma.f64 x 99229/100000 1))) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1)) (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x)))) (+.f64 1 (*.f64 -99229/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (neg.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.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 log.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) 1))))))
((#(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)))))

simplify83.0ms (0.9%)

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)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
✓0.1b
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
✓0.4b
(*.f64 x -30191289437/10000000000)
Compiler

Compiled 20 to 16 computations (20% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 x -30191289437/10000000000)
1.0ms
x
@0
(*.f64 x -30191289437/10000000000)
1.0ms
x
@inf
(*.f64 x -30191289437/10000000000)
1.0ms
x
@inf
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
1.0ms
x
@0
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))

rewrite103.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
854×pow1_binary64
810×add-log-exp_binary64
810×log1p-expm1-u_binary64
810×expm1-log1p-u_binary64
799×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
118116
2215616
Stop Event
1×node limit
Counts
3 → 65
Calls
Call 1
Inputs
(*.f64 x -30191289437/10000000000)
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -30191289437/10000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -30191289437/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -30191289437/10000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -30191289437/10000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -30191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -30191289437/10000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -2134856267379707/1000000000000000) 1) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -2134856267379707/1000000000000000) 3) 4344131920367546379167405106887/1000000000000000000000000000000) (+.f64 (*.f64 (*.f64 x -2134856267379707/1000000000000000) (*.f64 x -2134856267379707/1000000000000000)) (-.f64 266237158899274796689/100000000000000000000 (*.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -2134856267379707/1000000000000000) (*.f64 x -2134856267379707/1000000000000000)) 266237158899274796689/100000000000000000000) (-.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000)) 70711/100000) (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) 70711/100000) (fma.f64 x -30191289437/10000000000 -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (+.f64 12286892763167777/1000000000000000 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000))) (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000)) (fma.f64 x -30191289437/10000000000 -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -30191289437/10000000000) 70711/100000 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 70711/100000 (*.f64 x -30191289437/10000000000) 16316775383/10000000000)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -30191289437/10000000000 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (fma.f64 x -30191289437/10000000000 -230753/100000)) (/.f64 53246947009/10000000000 (fma.f64 x -30191289437/10000000000 -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -30191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 2) (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) (sqrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (/.f64 1 (fma.f64 x -30191289437/10000000000 -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000))) (+.f64 12286892763167777/1000000000000000 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x -30191289437/10000000000 -230753/100000) (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000)) (+.f64 53246947009/10000000000 (-.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (*.f64 x -6966730611456061/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (fma.f64 x -30191289437/10000000000 -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000)) (neg.f64 (fma.f64 x -30191289437/10000000000 -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000)) (-.f64 230753/100000 (*.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -30191289437/10000000000 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -30191289437/10000000000 x 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -30191289437/10000000000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -30191289437/10000000000)) 2) (cbrt.f64 (*.f64 x -30191289437/10000000000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -30191289437/10000000000)) (sqrt.f64 (*.f64 x -30191289437/10000000000)) 230753/100000)))))

simplify22.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
010174
115156
218156
Stop Event
1×saturated
Counts
101 → 73
Calls
Call 1
Inputs
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
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))
Outputs
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
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) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 x -2134856267379707/1000000000000000)
(+.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) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 x -2134856267379707/1000000000000000)
(+.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) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
230753/100000
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
✓1.0b
(cbrt.f64 -353558218835431/1000000000000000)
Compiler

Compiled 9 to 7 computations (22.2% saved)

series2.0ms (0%)

Counts
2 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
1.0ms
x
@0
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
0.0ms
x
@inf
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)

rewrite97.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
417×pow1_binary64
407×add-sqr-sqrt_binary64
394×*-un-lft-identity_binary64
391×add-log-exp_binary64
391×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
1989
210719
Stop Event
1×node limit
Counts
2 → 36
Calls
Call 1
Inputs
(cbrt.f64 -353558218835431/1000000000000000)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 -353558218835431/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 -353558218835431/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -353558218835431/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 -353558218835431/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000)) (cbrt.f64 (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000)) (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -353558218835431/1000000000000000 1/6) (pow.f64 -353558218835431/1000000000000000 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000))) 2) 3) (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 -353558218835431/1000000000000000 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 -353558218835431/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 -353558218835431/1000000000000000 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 -353558218835431/1000000000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000) (*.f64 x x)) 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 (cbrt.f64 -353558218835431/1000000000000000) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)) 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 (cbrt.f64 -353558218835431/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)))))))

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
36 → 36
Calls
Call 1
Inputs
Outputs

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 x (cbrt.f64 -353558218835431/1000000000000000))
✓0.3b
(pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3)
1.0b
(cbrt.f64 -353558218835431/1000000000000000)
✓38.4b
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3))
Compiler

Compiled 23 to 19 computations (17.4% saved)

series11.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3))
2.0ms
x
@inf
(pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3)
1.0ms
x
@0
(pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3)
1.0ms
x
@-inf
(pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3)
1.0ms
x
@0
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3))

rewrite103.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
593×pow1_binary64
562×add-log-exp_binary64
562×log1p-expm1-u_binary64
562×expm1-log1p-u_binary64
546×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0821
116819
2163219
Stop Event
1×node limit
Counts
3 → 65
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3))
(pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3)
(*.f64 x (cbrt.f64 -353558218835431/1000000000000000))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cbrt.f64 -353558218835431/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -353558218835431/1000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) (pow.f64 (*.f64 (*.f64 x x) (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 2) (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000)) (*.f64 (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -353558218835431/1000000000000000 1/6) (*.f64 (pow.f64 -353558218835431/1000000000000000 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x x) (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000)) 1/3) (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000))) (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 -353558218835431/1000000000000000 1/6)) (pow.f64 -353558218835431/1000000000000000 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 1)))) (#(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 (cbrt.f64 -353558218835431/1000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (*.f64 (*.f64 x x) (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -353558218835431/1000000000000000 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -353558218835431/1000000000000000) (*.f64 x (*.f64 (*.f64 x x) (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) (*.f64 (*.f64 x x) (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000)) (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 2) (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) (*.f64 (*.f64 x x) (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) (*.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) (*.f64 (*.f64 x x) (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) -353558218835431/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3/2) (pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 2) 3) (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 3) (pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000)) x) (cbrt.f64 -353558218835431/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000)) (cbrt.f64 -353558218835431/1000000000000000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000)) 1) (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000)) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 2)) (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x x) (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000)) (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)))) (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 1)))) (#(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 (cbrt.f64 -353558218835431/1000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cbrt.f64 -353558218835431/1000000000000000)))))) (#(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 (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))))

simplify224.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1005×sqr-pow_binary64
529×cube-prod_binary64
500×pow-sqr_binary64
471×associate-*l*_binary64
470×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012256
129256
278256
3161256
4232256
5491256
61432256
72154256
82299256
92828256
103014256
113255256
123577256
133998256
144501256
155100256
165822256
176143256
186429256
196651256
206829256
216909256
227849256
Stop Event
1×node limit
Counts
101 → 57
Calls
Call 1
Inputs
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
Outputs
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)))
(neg.f64 (*.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x) (cbrt.f64 -1)))
(*.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x) (neg.f64 (cbrt.f64 -1)))
(*.f64 (*.f64 x (cbrt.f64 -1)) (neg.f64 (cbrt.f64 -353558218835431/1000000000000000)))
(*.f64 x (*.f64 (cbrt.f64 -1) (neg.f64 (cbrt.f64 -353558218835431/1000000000000000))))
(*.f64 x (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (neg.f64 (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) (*.f64 x (neg.f64 (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (neg.f64 x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)))
(neg.f64 (*.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x) (cbrt.f64 -1)))
(*.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x) (neg.f64 (cbrt.f64 -1)))
(*.f64 (*.f64 x (cbrt.f64 -1)) (neg.f64 (cbrt.f64 -353558218835431/1000000000000000)))
(*.f64 x (*.f64 (cbrt.f64 -1) (neg.f64 (cbrt.f64 -353558218835431/1000000000000000))))
(*.f64 x (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (neg.f64 (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) (*.f64 x (neg.f64 (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (neg.f64 x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)))
(neg.f64 (*.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x) (cbrt.f64 -1)))
(*.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x) (neg.f64 (cbrt.f64 -1)))
(*.f64 (*.f64 x (cbrt.f64 -1)) (neg.f64 (cbrt.f64 -353558218835431/1000000000000000)))
(*.f64 x (*.f64 (cbrt.f64 -1) (neg.f64 (cbrt.f64 -353558218835431/1000000000000000))))
(*.f64 x (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (neg.f64 (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) (*.f64 x (neg.f64 (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (neg.f64 x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)))
(neg.f64 (*.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x) (cbrt.f64 -1)))
(*.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x) (neg.f64 (cbrt.f64 -1)))
(*.f64 (*.f64 x (cbrt.f64 -1)) (neg.f64 (cbrt.f64 -353558218835431/1000000000000000)))
(*.f64 x (*.f64 (cbrt.f64 -1) (neg.f64 (cbrt.f64 -353558218835431/1000000000000000))))
(*.f64 x (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (neg.f64 (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) (*.f64 x (neg.f64 (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (neg.f64 x)))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)

localize81.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 27061/4481 x)
0.4b
(/.f64 -1651231776/20079361 x)
✓0.7b
(/.f64 -1651231776/20079361 (*.f64 x x))
✓37.4b
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) 2) (*.f64 x x)) 70711/100000) (fma.f64 (pow.f64 x -1) (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x))
Compiler

Compiled 119 to 74 computations (37.8% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) 2) (*.f64 x x)) 70711/100000) (fma.f64 (pow.f64 x -1) (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x))
1.0ms
x
@-inf
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) 2) (*.f64 x x)) 70711/100000) (fma.f64 (pow.f64 x -1) (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x))
1.0ms
x
@inf
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) 2) (*.f64 x x)) 70711/100000) (fma.f64 (pow.f64 x -1) (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x))
0.0ms
x
@-inf
(/.f64 -1651231776/20079361 (*.f64 x x))
0.0ms
x
@0
(/.f64 -1651231776/20079361 (*.f64 x x))

rewrite119.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
376×expm1-udef_binary64
376×log1p-udef_binary64
354×fma-neg_binary64
225×add-sqr-sqrt_binary64
214×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01948
145044
2640044
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) 2) (*.f64 x x)) 70711/100000) (fma.f64 (pow.f64 x -1) (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x))
(/.f64 -1651231776/20079361 (*.f64 x x))
Outputs
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-1651231776/20079361 x)) x)) 100000/70711)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x) 2) (*.f64 x x)) (*.f64 (+.f64 x (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x)) 100000/70711)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x) 2) (*.f64 x x)) 70711/100000) 3) (pow.f64 (+.f64 x (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x) 2) (*.f64 x x)) (*.f64 (+.f64 x (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x)) 100000/70711))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x) 2) (*.f64 x x)) (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -1651231776/20079361 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1651231776/20079361 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1651231776/20079361 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 -1651231776/20079361 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 -1651231776/20079361 x) x)) (cbrt.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 -1651231776/20079361 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1651231776/20079361) x) (/.f64 (sqrt.f64 -1651231776/20079361) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1651231776/20079361 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -1651231776/20079361)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (/.f64 -1651231776/20079361 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -1651231776/20079361 x) 2)) 1) (/.f64 (cbrt.f64 (/.f64 -1651231776/20079361 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1651231776/20079361 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1651231776/20079361 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1651231776/20079361 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1651231776/20079361 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -1651231776/20079361 x) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 -1651231776/20079361 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1651231776/20079361 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1651231776/20079361 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1651231776/20079361 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -1651231776/20079361 x) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -1651231776/20079361 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 -1651231776/20079361 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1651231776/20079361) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -4502193042845904546911256576/8095611589928196122881 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -20079361/1651231776) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 -1651231776/20079361 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -1651231776/20079361 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -4502193042845904546911256576/8095611589928196122881 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 -1651231776/20079361 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 -1651231776/20079361 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 -1651231776/20079361 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -1651231776/20079361 x) x)) 1))))))

simplify74.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
751×times-frac_binary64
598×associate-/l/_binary64
434×unswap-sqr_binary64
390×distribute-neg-frac_binary64
319×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022230
150230
292230
3173230
4442230
51420230
66023230
Stop Event
1×node limit
Counts
100 → 89
Calls
Call 1
Inputs
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 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 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 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
Outputs
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(/.f64 (/.f64 -3648757816023/62748003125 x) 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 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -70711/100000 x (/.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 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -70711/100000 x (/.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 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (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))
(fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x))
(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 (fma.f64 -70711/100000 x (/.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 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -70711/100000 x (/.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 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (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))
(fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x))
(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 (fma.f64 -70711/100000 x (/.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 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -70711/100000 x (/.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 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)

eval270.0ms (2.8%)

Compiler

Compiled 8298 to 6255 computations (24.6% saved)

prune127.0ms (1.3%)

Pruning

19 alts after pruning (9 fresh and 10 done)

PrunedKeptTotal
New4453448
Fresh369
Picked101
Done01010
Total44919468
Error
0b
Counts
468 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
✓51.7b
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3))
✓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))
✓30.9b
(*.f64 x -70711/100000)
✓31.8b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
51.7b
(/.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))))
31.0b
(*.f64 (*.f64 x (cbrt.f64 (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000))) (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000)))
47.1b
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x) 2) (*.f64 x x)) (/.f64 1 (*.f64 (+.f64 x (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x)) 100000/70711)))
✓1.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
46.8b
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
✓31.2b
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
✓27.2b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
47.1b
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x) 2) (*.f64 x x)) (*.f64 (+.f64 x (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x)) 100000/70711)) 1)
30.8b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
✓51.7b
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
27.2b
(+.f64 (-.f64 (+.f64 1 (*.f64 -2134856267379707/1000000000000000 x)) 1) 16316775383/10000000000)
✓27.2b
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
15.8b
(fma.f64 x -70711/100000 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
31.9b
16316775383/10000000000
✓0.1b
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
Compiler

Compiled 256 to 206 computations (19.5% saved)

regimes133.0ms (1.4%)

Counts
38 → 1
Calls
Call 1
Inputs
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (-.f64 (+.f64 1 (*.f64 -2134856267379707/1000000000000000 x)) 1) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 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 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x) 2) (*.f64 x x)) (/.f64 1 (*.f64 (+.f64 x (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x)) 100000/70711)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x) 2) (*.f64 x x)) (*.f64 (+.f64 x (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x)) 100000/70711)) 1)
(/.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))))
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3))
(*.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (sqrt.f64 x)) (sqrt.f64 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 (/.f64 (-.f64 (*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) 2) (*.f64 x x)) 70711/100000) (fma.f64 (pow.f64 x -1) (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x))
(*.f64 (*.f64 x (cbrt.f64 (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000))) (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000)))
(*.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 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)))
(fma.f64 x -70711/100000 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 3661521939924557641/100000000000000000000) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(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 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) (cbrt.f64 (fma.f64 x -70711/100000 16316775383/10000000000)))
(*.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 2) 3) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) (+.f64 (pow.f64 (*.f64 x -70711/100000) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
(*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
Outputs
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
Calls

5 calls:

26.0ms
x
22.0ms
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
22.0ms
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
22.0ms
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
16.0ms
(-.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 791 to 609 computations (23% saved)

regimes31.0ms (0.3%)

Counts
18 → 1
Calls
Call 1
Inputs
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (-.f64 (+.f64 1 (*.f64 -2134856267379707/1000000000000000 x)) 1) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 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 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x) 2) (*.f64 x x)) (/.f64 1 (*.f64 (+.f64 x (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x)) 100000/70711)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x) 2) (*.f64 x x)) (*.f64 (+.f64 x (/.f64 (+.f64 27061/4481 (/.f64 -1651231776/20079361 x)) x)) 100000/70711)) 1)
(/.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))))
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
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:

10.0ms
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 241 to 189 computations (21.6% saved)

regimes11.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (-.f64 (+.f64 1 (*.f64 -2134856267379707/1000000000000000 x)) 1) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
1.1b1x
Compiler

Compiled 77 to 60 computations (22.1% saved)

regimes20.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (-.f64 (+.f64 1 (*.f64 -2134856267379707/1000000000000000 x)) 1) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
Outputs
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
(*.f64 x -70711/100000)
Calls

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
0.8b3x
Compiler

Compiled 62 to 48 computations (22.6% saved)

bsearch48.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
0.013727678713886722
1661213276261.339
24.0ms
-76.55274771011842
-0.4294392715494267
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes19.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (-.f64 (+.f64 1 (*.f64 -2134856267379707/1000000000000000 x)) 1) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
(*.f64 x -70711/100000)
Calls

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
0.8b3x
Compiler

Compiled 49 to 39 computations (20.4% saved)

bsearch49.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
0.013727678713886722
1661213276261.339
24.0ms
-76.55274771011842
-0.4294392715494267
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes18.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
Outputs
(*.f64 x -70711/100000)
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
(*.f64 x -70711/100000)
Calls

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch56.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
0.013727678713886722
1661213276261.339
29.0ms
-76.55274771011842
-0.4294392715494267
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes25.0ms (0.3%)

Counts
4 → 3
Calls
Call 1
Inputs
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.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:

24.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch55.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
0.013727678713886722
1661213276261.339
28.0ms
-76.55274771011842
-0.4294392715494267
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes10.0ms (0.1%)

Accuracy

Total -60.8b remaining (-6060.4%)

Threshold costs -60.8b (-6060.4%)

Counts
2 → 3
Calls
Call 1
Inputs
16316775383/10000000000
(*.f64 x -70711/100000)
Outputs
(*.f64 x -70711/100000)
16316775383/10000000000
(*.f64 x -70711/100000)
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch55.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
0.013727678713886722
1661213276261.339
29.0ms
-76.55274771011842
-0.4294392715494267
Compiler

Compiled 24 to 19 computations (20.8% saved)

simplify14.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
062234
190234
297234
399234
4100234
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
(*.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))
(if (<=.f64 x -5386920719710577/70368744177664) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) (if (<=.f64 x 7913467998786833/576460752303423488) (*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)) (*.f64 x -70711/100000)))
(if (<=.f64 x -5386920719710577/70368744177664) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 7913467998786833/576460752303423488) (*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)) (*.f64 x -70711/100000)))
(if (<=.f64 x -5386920719710577/70368744177664) (*.f64 x -70711/100000) (if (<=.f64 x 7913467998786833/576460752303423488) (*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)) (*.f64 x -70711/100000)))
(if (<=.f64 x -5386920719710577/70368744177664) (*.f64 x -70711/100000) (if (<=.f64 x 7913467998786833/576460752303423488) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -5386920719710577/70368744177664) (*.f64 x -70711/100000) (if (<=.f64 x 7913467998786833/576460752303423488) 16316775383/10000000000 (*.f64 x -70711/100000)))
16316775383/10000000000
Outputs
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
(*.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 (+.f64 (*.f64 x 4481/100000) 99229/100000)))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
(if (<=.f64 x -5386920719710577/70368744177664) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) (if (<=.f64 x 7913467998786833/576460752303423488) (*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)) (*.f64 x -70711/100000)))
(if (<=.f64 x -5386920719710577/70368744177664) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) (if (<=.f64 x 7913467998786833/576460752303423488) (*.f64 70711/100000 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000))) (*.f64 x -70711/100000)))
(if (<=.f64 x -5386920719710577/70368744177664) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 7913467998786833/576460752303423488) (*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)) (*.f64 x -70711/100000)))
(if (<=.f64 x -5386920719710577/70368744177664) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 7913467998786833/576460752303423488) (*.f64 70711/100000 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000))) (*.f64 x -70711/100000)))
(if (<=.f64 x -5386920719710577/70368744177664) (*.f64 x -70711/100000) (if (<=.f64 x 7913467998786833/576460752303423488) (*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)) (*.f64 x -70711/100000)))
(if (<=.f64 x -5386920719710577/70368744177664) (*.f64 x -70711/100000) (if (<=.f64 x 7913467998786833/576460752303423488) (*.f64 70711/100000 (+.f64 230753/100000 (*.f64 x -30191289437/10000000000))) (*.f64 x -70711/100000)))
(if (<=.f64 x -5386920719710577/70368744177664) (*.f64 x -70711/100000) (if (<=.f64 x 7913467998786833/576460752303423488) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -5386920719710577/70368744177664) (*.f64 x -70711/100000) (if (<=.f64 x 7913467998786833/576460752303423488) (+.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)) (*.f64 x -70711/100000)))
(if (<=.f64 x -5386920719710577/70368744177664) (*.f64 x -70711/100000) (if (<=.f64 x 7913467998786833/576460752303423488) 16316775383/10000000000 (*.f64 x -70711/100000)))
16316775383/10000000000
Compiler

Compiled 172 to 133 computations (22.7% saved)

soundness303.0ms (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)

end575.0ms (6%)

Compiler

Compiled 164 to 125 computations (23.8% saved)

Profiling

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