Details

Time bar (total: 9.7s)

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 (13.5%)

Results
1.3s8256×body256valid
Bogosity

preprocess82.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 21 to 17 computations (19% saved)

simplify74.0ms (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)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
✓0.3b
(*.f64 x 4481/100000)
✓0.4b
(*.f64 x 27061/100000)
✓13.6b
(/.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)

series8.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite110.0ms (1.1%)

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)))))))

simplify62.0ms (0.6%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
047396
1113392
2262381
3686357
42069354
56004354
Stop Event
1×node limit
Counts
167 → 143
Calls
Call 1
Inputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.f64 (*.f64 -20191289437/10000000000 x) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 99229/100000 x)
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
Outputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x 230753/100000))
(fma.f64 -20191289437/10000000000 x (fma.f64 x (*.f64 x 1900161040244073/1000000000000000) 230753/100000))
(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.f64 (*.f64 -20191289437/10000000000 x) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (+.f64 230753/100000 (fma.f64 -20191289437/10000000000 x (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x 230753/100000)) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))
(fma.f64 x (*.f64 x 1900161040244073/1000000000000000) (fma.f64 -20191289437/10000000000 x (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) 230753/100000)))
(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) 230753/100000))
(fma.f64 x (fma.f64 x (fma.f64 x -179503363065659419717/100000000000000000000 1900161040244073/1000000000000000) -20191289437/10000000000) 230753/100000)
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 -1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 -1651231776/20079361 x) x)))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 -1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 -1651231776/20079361 x) x)))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 4481/100000)
(*.f64 x (*.f64 x 4481/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 (*.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (*.f64 x (*.f64 x 4481/100000)))
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))

localize24.0ms (0.2%)

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 4481/100000 99229/100000)
✓0.2b
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
✓13.6b
(/.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
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
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)))

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 1913510371/10000000000 16316775383/10000000000)
(fma.f64 x 4481/100000 99229/100000)
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
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 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (*.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 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#<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 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 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simplify82.0ms (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
42553420
56280420
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)))))
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
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)))))
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
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)))))

eval202.0ms (2.1%)

Compiler

Compiled 7780 to 6110 computations (21.5% saved)

prune103.0ms (1.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New33215347
Fresh000
Picked101
Done011
Total33316349
Error
0.0b
Counts
349 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
19.1b
(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))
27.9b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
31.0b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
▶0.1b
(fma.f64 x -70711/100000 (*.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (pow.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1)))
30.3b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
▶30.9b
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
16.6b
(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)
30.3b
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
▶2.0b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
▶30.2b
(*.f64 x -70711/100000)
32.9b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
15.0b
(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
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
30.3b
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
▶27.9b
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
30.8b
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
Compiler

Compiled 426 to 332 computations (22.1% saved)

localize40.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
✓0.6b
(/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))
✓0.6b
(pow.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1)
✓13.3b
(*.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (pow.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1))
Compiler

Compiled 86 to 70 computations (18.6% saved)

series7.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(pow.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1)
1.0ms
x
@-inf
(pow.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1)
1.0ms
x
@0
(pow.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1)
1.0ms
x
@inf
(/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
0.0ms
x
@0
(*.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (pow.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1))

rewrite87.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
535×log-prod_binary64
335×pow2_binary64
316×pow-prod-down_binary64
234×pow1/3_binary64
233×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01553
131141
2349841
Stop Event
1×node limit
Counts
4 → 152
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (pow.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1))
(pow.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1)
(/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))
(/.f64 1 (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 1 (*.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 (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 1 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -1) (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 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 (/.f64 (fma.f64 x 1913510371/10000000000 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-1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.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 log.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 log.f64 (+.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 (/.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 (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 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 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 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 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.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 (/.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 exp.f64 (*.f64 (log.f64 (sqrt.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 exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 (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 16316775383/10000000000 (*.f64 x 1913510371/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1913510371/10000000000) 1) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) -2) (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x 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simplify72.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
900×fma-def_binary64
710×fma-neg_binary64
553×cancel-sign-sub-inv_binary64
425×distribute-neg-frac_binary64
403×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
098643
1258619
2657610
31826591
45438591
Stop Event
1×node limit
Counts
200 → 198
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
10000000000/16316775383
(+.f64 10000000000/16316775383 (*.f64 -270610000000000/3765144869953399 x))
(+.f64 10000000000/16316775383 (+.f64 (*.f64 -270610000000000/3765144869953399 x) (*.f64 7322977210000000000/868818474176356679447 (pow.f64 x 2))))
(+.f64 10000000000/16316775383 (+.f64 (*.f64 -198167086279810000000000/200482469371616832852433591 (pow.f64 x 3)) (+.f64 (*.f64 -270610000000000/3765144869953399 x) (*.f64 7322977210000000000/868818474176356679447 (pow.f64 x 2)))))
(/.f64 10000000000/1913510371 x)
(-.f64 (*.f64 10000000000/1913510371 (/.f64 1 x)) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 532469470090000000000/1401259283793164491 (/.f64 1 (pow.f64 x 3))) (*.f64 10000000000/1913510371 (/.f64 1 x))) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 532469470090000000000/1401259283793164491 (/.f64 1 (pow.f64 x 3))) (*.f64 10000000000/1913510371 (/.f64 1 x))) (+.f64 (*.f64 122868927631677770000000000/37919477478726824290951 (/.f64 1 (pow.f64 x 4))) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2)))))
(/.f64 10000000000/1913510371 x)
(-.f64 (*.f64 10000000000/1913510371 (/.f64 1 x)) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 532469470090000000000/1401259283793164491 (/.f64 1 (pow.f64 x 3))) (*.f64 10000000000/1913510371 (/.f64 1 x))) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 532469470090000000000/1401259283793164491 (/.f64 1 (pow.f64 x 3))) (*.f64 10000000000/1913510371 (/.f64 1 x))) (+.f64 (*.f64 122868927631677770000000000/37919477478726824290951 (/.f64 1 (pow.f64 x 4))) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -99229/100000 x))
(+.f64 1 (+.f64 (*.f64 9398294441/10000000000 (pow.f64 x 2)) (*.f64 -99229/100000 x)))
(+.f64 1 (+.f64 (*.f64 9398294441/10000000000 (pow.f64 x 2)) (+.f64 (*.f64 -99229/100000 x) (*.f64 -888118844185989/1000000000000000 (pow.f64 x 3)))))
(/.f64 100000/4481 (pow.f64 x 2))
(-.f64 (*.f64 100000/4481 (/.f64 1 (pow.f64 x 2))) (*.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 939829444100000/89975616641 (/.f64 1 (pow.f64 x 4))) (*.f64 100000/4481 (/.f64 1 (pow.f64 x 2)))) (*.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 939829444100000/89975616641 (/.f64 1 (pow.f64 x 4))) (*.f64 100000/4481 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))) (*.f64 88811884418598900000/403180738168321 (/.f64 1 (pow.f64 x 5)))))
(/.f64 100000/4481 (pow.f64 x 2))
(-.f64 (*.f64 100000/4481 (/.f64 1 (pow.f64 x 2))) (*.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 939829444100000/89975616641 (/.f64 1 (pow.f64 x 4))) (*.f64 100000/4481 (/.f64 1 (pow.f64 x 2)))) (*.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 939829444100000/89975616641 (/.f64 1 (pow.f64 x 4))) (*.f64 100000/4481 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))) (*.f64 88811884418598900000/403180738168321 (/.f64 1 (pow.f64 x 5)))))
Outputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x (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 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) (fma.f64 -1427746267379707/1000000000000000 x 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 (*.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 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 -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 (/.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 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 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.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 -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 (/.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 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 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
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)
10000000000/16316775383
(+.f64 10000000000/16316775383 (*.f64 -270610000000000/3765144869953399 x))
(+.f64 10000000000/16316775383 (*.f64 x -270610000000000/3765144869953399))
(fma.f64 x -270610000000000/3765144869953399 10000000000/16316775383)
(+.f64 10000000000/16316775383 (+.f64 (*.f64 -270610000000000/3765144869953399 x) (*.f64 7322977210000000000/868818474176356679447 (pow.f64 x 2))))
(+.f64 10000000000/16316775383 (fma.f64 -270610000000000/3765144869953399 x (*.f64 (*.f64 x x) 7322977210000000000/868818474176356679447)))
(+.f64 10000000000/16316775383 (fma.f64 x -270610000000000/3765144869953399 (*.f64 x (*.f64 x 7322977210000000000/868818474176356679447))))
(fma.f64 x -270610000000000/3765144869953399 (fma.f64 x (*.f64 x 7322977210000000000/868818474176356679447) 10000000000/16316775383))
(fma.f64 x (fma.f64 x 7322977210000000000/868818474176356679447 -270610000000000/3765144869953399) 10000000000/16316775383)
(+.f64 10000000000/16316775383 (+.f64 (*.f64 -198167086279810000000000/200482469371616832852433591 (pow.f64 x 3)) (+.f64 (*.f64 -270610000000000/3765144869953399 x) (*.f64 7322977210000000000/868818474176356679447 (pow.f64 x 2)))))
(+.f64 10000000000/16316775383 (fma.f64 -198167086279810000000000/200482469371616832852433591 (pow.f64 x 3) (fma.f64 -270610000000000/3765144869953399 x (*.f64 (*.f64 x x) 7322977210000000000/868818474176356679447))))
(+.f64 10000000000/16316775383 (fma.f64 (pow.f64 x 3) -198167086279810000000000/200482469371616832852433591 (fma.f64 x -270610000000000/3765144869953399 (*.f64 x (*.f64 x 7322977210000000000/868818474176356679447)))))
(fma.f64 (pow.f64 x 3) -198167086279810000000000/200482469371616832852433591 (fma.f64 x -270610000000000/3765144869953399 (fma.f64 x (*.f64 x 7322977210000000000/868818474176356679447) 10000000000/16316775383)))
(fma.f64 x -270610000000000/3765144869953399 (fma.f64 x (*.f64 x (fma.f64 x -198167086279810000000000/200482469371616832852433591 7322977210000000000/868818474176356679447)) 10000000000/16316775383))
(/.f64 10000000000/1913510371 x)
(-.f64 (*.f64 10000000000/1913510371 (/.f64 1 x)) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 10000000000/1913510371 x) (/.f64 2307530000000000/51781504149631 (*.f64 x x)))
(+.f64 (/.f64 10000000000/1913510371 x) (/.f64 -2307530000000000/51781504149631 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 532469470090000000000/1401259283793164491 (/.f64 1 (pow.f64 x 3))) (*.f64 10000000000/1913510371 (/.f64 1 x))) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (-.f64 (/.f64 10000000000/1913510371 x) (/.f64 2307530000000000/51781504149631 (*.f64 x x))))
(+.f64 (/.f64 10000000000/1913510371 x) (-.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (/.f64 2307530000000000/51781504149631 (*.f64 x x))))
(+.f64 (/.f64 10000000000/1913510371 x) (+.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (/.f64 -2307530000000000/51781504149631 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 532469470090000000000/1401259283793164491 (/.f64 1 (pow.f64 x 3))) (*.f64 10000000000/1913510371 (/.f64 1 x))) (+.f64 (*.f64 122868927631677770000000000/37919477478726824290951 (/.f64 1 (pow.f64 x 4))) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 10000000000/1913510371 x) (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3))) (+.f64 (/.f64 2307530000000000/51781504149631 (*.f64 x x)) (/.f64 122868927631677770000000000/37919477478726824290951 (pow.f64 x 4))))
(+.f64 (/.f64 10000000000/1913510371 x) (-.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (+.f64 (/.f64 2307530000000000/51781504149631 (*.f64 x x)) (/.f64 122868927631677770000000000/37919477478726824290951 (pow.f64 x 4)))))
(+.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 10000000000/1913510371 x) (/.f64 -2307530000000000/51781504149631 (*.f64 x x))) (/.f64 -122868927631677770000000000/37919477478726824290951 (pow.f64 x 4))))
(/.f64 10000000000/1913510371 x)
(-.f64 (*.f64 10000000000/1913510371 (/.f64 1 x)) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 10000000000/1913510371 x) (/.f64 2307530000000000/51781504149631 (*.f64 x x)))
(+.f64 (/.f64 10000000000/1913510371 x) (/.f64 -2307530000000000/51781504149631 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 532469470090000000000/1401259283793164491 (/.f64 1 (pow.f64 x 3))) (*.f64 10000000000/1913510371 (/.f64 1 x))) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (-.f64 (/.f64 10000000000/1913510371 x) (/.f64 2307530000000000/51781504149631 (*.f64 x x))))
(+.f64 (/.f64 10000000000/1913510371 x) (-.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (/.f64 2307530000000000/51781504149631 (*.f64 x x))))
(+.f64 (/.f64 10000000000/1913510371 x) (+.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (/.f64 -2307530000000000/51781504149631 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 532469470090000000000/1401259283793164491 (/.f64 1 (pow.f64 x 3))) (*.f64 10000000000/1913510371 (/.f64 1 x))) (+.f64 (*.f64 122868927631677770000000000/37919477478726824290951 (/.f64 1 (pow.f64 x 4))) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 10000000000/1913510371 x) (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3))) (+.f64 (/.f64 2307530000000000/51781504149631 (*.f64 x x)) (/.f64 122868927631677770000000000/37919477478726824290951 (pow.f64 x 4))))
(+.f64 (/.f64 10000000000/1913510371 x) (-.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (+.f64 (/.f64 2307530000000000/51781504149631 (*.f64 x x)) (/.f64 122868927631677770000000000/37919477478726824290951 (pow.f64 x 4)))))
(+.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 10000000000/1913510371 x) (/.f64 -2307530000000000/51781504149631 (*.f64 x x))) (/.f64 -122868927631677770000000000/37919477478726824290951 (pow.f64 x 4))))
1
(+.f64 1 (*.f64 -99229/100000 x))
(+.f64 1 (*.f64 x -99229/100000))
(fma.f64 x -99229/100000 1)
(+.f64 1 (+.f64 (*.f64 9398294441/10000000000 (pow.f64 x 2)) (*.f64 -99229/100000 x)))
(+.f64 1 (fma.f64 9398294441/10000000000 (*.f64 x x) (*.f64 x -99229/100000)))
(+.f64 1 (fma.f64 (*.f64 x x) 9398294441/10000000000 (*.f64 x -99229/100000)))
(fma.f64 x -99229/100000 (fma.f64 x (*.f64 x 9398294441/10000000000) 1))
(fma.f64 x (fma.f64 x 9398294441/10000000000 -99229/100000) 1)
(+.f64 1 (+.f64 (*.f64 9398294441/10000000000 (pow.f64 x 2)) (+.f64 (*.f64 -99229/100000 x) (*.f64 -888118844185989/1000000000000000 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 9398294441/10000000000 (*.f64 x x) (fma.f64 -99229/100000 x (*.f64 (pow.f64 x 3) -888118844185989/1000000000000000))))
(+.f64 1 (fma.f64 (*.f64 x x) 9398294441/10000000000 (fma.f64 x -99229/100000 (*.f64 (pow.f64 x 3) -888118844185989/1000000000000000))))
(+.f64 (fma.f64 x -99229/100000 1) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -888118844185989/1000000000000000) 9398294441/10000000000)))
(fma.f64 x (fma.f64 x 9398294441/10000000000 -99229/100000) (fma.f64 (pow.f64 x 3) -888118844185989/1000000000000000 1))
(/.f64 100000/4481 (pow.f64 x 2))
(/.f64 100000/4481 (*.f64 x x))
(-.f64 (*.f64 100000/4481 (/.f64 1 (pow.f64 x 2))) (*.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 9922900000/20079361 (pow.f64 x 3)))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 -9922900000/20079361 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 939829444100000/89975616641 (/.f64 1 (pow.f64 x 4))) (*.f64 100000/4481 (/.f64 1 (pow.f64 x 2)))) (*.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (-.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 9922900000/20079361 (pow.f64 x 3))))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (-.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (/.f64 9922900000/20079361 (pow.f64 x 3))))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (/.f64 -9922900000/20079361 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 939829444100000/89975616641 (/.f64 1 (pow.f64 x 4))) (*.f64 100000/4481 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))) (*.f64 88811884418598900000/403180738168321 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (-.f64 (/.f64 100000/4481 (*.f64 x x)) (+.f64 (/.f64 9922900000/20079361 (pow.f64 x 3)) (/.f64 88811884418598900000/403180738168321 (pow.f64 x 5)))))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (-.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (+.f64 (/.f64 9922900000/20079361 (pow.f64 x 3)) (/.f64 88811884418598900000/403180738168321 (pow.f64 x 5)))))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (+.f64 (+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (/.f64 -9922900000/20079361 (pow.f64 x 3))) (/.f64 -88811884418598900000/403180738168321 (pow.f64 x 5))))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (+.f64 (/.f64 -9922900000/20079361 (pow.f64 x 3)) (/.f64 -88811884418598900000/403180738168321 (pow.f64 x 5)))))
(/.f64 100000/4481 (pow.f64 x 2))
(/.f64 100000/4481 (*.f64 x x))
(-.f64 (*.f64 100000/4481 (/.f64 1 (pow.f64 x 2))) (*.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 9922900000/20079361 (pow.f64 x 3)))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 -9922900000/20079361 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 939829444100000/89975616641 (/.f64 1 (pow.f64 x 4))) (*.f64 100000/4481 (/.f64 1 (pow.f64 x 2)))) (*.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (-.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 9922900000/20079361 (pow.f64 x 3))))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (-.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (/.f64 9922900000/20079361 (pow.f64 x 3))))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (/.f64 -9922900000/20079361 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 939829444100000/89975616641 (/.f64 1 (pow.f64 x 4))) (*.f64 100000/4481 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))) (*.f64 88811884418598900000/403180738168321 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (-.f64 (/.f64 100000/4481 (*.f64 x x)) (+.f64 (/.f64 9922900000/20079361 (pow.f64 x 3)) (/.f64 88811884418598900000/403180738168321 (pow.f64 x 5)))))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (-.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (+.f64 (/.f64 9922900000/20079361 (pow.f64 x 3)) (/.f64 88811884418598900000/403180738168321 (pow.f64 x 5)))))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (+.f64 (+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (/.f64 -9922900000/20079361 (pow.f64 x 3))) (/.f64 -88811884418598900000/403180738168321 (pow.f64 x 5))))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (+.f64 (/.f64 -9922900000/20079361 (pow.f64 x 3)) (/.f64 -88811884418598900000/403180738168321 (pow.f64 x 5)))))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (0.5%)

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))))))

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

localize12.0ms (0.1%)

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)
✓0.2b
(*.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 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
0.0ms
x
@-inf
(*.f64 -20191289437/10000000000 x)
0.0ms
x
@0
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))

rewrite95.0ms (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))))))
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-20191289437/10000000000 x) 1 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -20191289437/10000000000 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -20191289437/10000000000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) (cbrt.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -20191289437/10000000000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x)) (sqrt.f64 (*.f64 -20191289437/10000000000 x)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -20191289437/10000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -20191289437/10000000000 (sqrt.f64 x)) (sqrt.f64 x) 230753/100000)))))

simplify15.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

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

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 62 to 49 computations (21% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite92.0ms (0.9%)

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)))))

simplify90.0ms (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)

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
✓0.1b
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
✓0.2b
(/.f64 1913510371/448100000 x)
✓0.5b
(/.f64 -3648757816023/62748003125 (*.f64 x x))
Compiler

Compiled 34 to 20 computations (41.2% saved)

series14.0ms (0.1%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
6.0ms
x
@0
(/.f64 -3648757816023/62748003125 (*.f64 x x))
1.0ms
x
@0
(/.f64 1913510371/448100000 x)
1.0ms
x
@inf
(/.f64 -3648757816023/62748003125 (*.f64 x x))
1.0ms
x
@0
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
1.0ms
x
@inf
(/.f64 1913510371/448100000 x)

rewrite110.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
777×prod-diff_binary64
455×log-prod_binary64
284×pow2_binary64
248×fma-def_binary64
198×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
123034
2300034
Stop Event
1×node limit
Counts
4 → 144
Calls
Call 1
Inputs
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(/.f64 1913510371/448100000 x)
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1913510371/448100000 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1913510371/448100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1913510371/448100000 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1913510371/448100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1913510371/448100000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1913510371/448100000 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1913510371/448100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) (pow.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) 2) (cbrt.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1913510371/448100000 x)) (sqrt.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1913510371/448100000 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1913510371/448100000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1913510371/448100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1913510371/448100000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1913510371/448100000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 448100000/1913510371) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 448100000/1913510371) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1913510371/448100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1913510371/448100000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1913510371/448100000 x)) 1))))))
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1913510371/448100000 x))) (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) (*.f64 -3648757816023/62748003125 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -70711/100000) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 -3648757816023/62748003125 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3648757816023/62748003125 (/.f64 1 (*.f64 x (neg.f64 x))) (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) -3648757816023/62748003125 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -3648757816023/62748003125 x) (/.f64 1 x) (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) (cbrt.f64 (*.f64 x -70711/100000)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 -3648757816023/62748003125 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -70711/100000)) (sqrt.f64 (*.f64 x -70711/100000)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 -3648757816023/62748003125 (pow.f64 x -2))))))))

simplify76.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
751×times-frac_binary64
521×associate-/l/_binary64
434×unswap-sqr_binary64
395×distribute-neg-frac_binary64
325×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021314
148314
288314
3165314
4418314
51351314
65876314
Stop Event
1×node limit
Counts
180 → 156
Calls
Call 1
Inputs
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 1913510371/448100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(/.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 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(/.f64 (/.f64 -3648757816023/62748003125 x) x)
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(/.f64 (/.f64 -3648757816023/62748003125 x) x)
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(/.f64 (/.f64 -3648757816023/62748003125 x) x)
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(/.f64 (/.f64 -3648757816023/62748003125 x) x)
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(/.f64 (/.f64 -3648757816023/62748003125 x) x)
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(/.f64 (/.f64 -3648757816023/62748003125 x) x)
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(/.f64 (/.f64 -3648757816023/62748003125 x) x)
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(/.f64 (/.f64 -3648757816023/62748003125 x) x)
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(/.f64 (/.f64 -3648757816023/62748003125 x) x)
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(/.f64 (/.f64 -3648757816023/62748003125 x) x)
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(/.f64 (/.f64 -3648757816023/62748003125 x) x)
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(/.f64 (/.f64 -3648757816023/62748003125 x) x)
(/.f64 1913510371/448100000 x)
(+.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 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 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 -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 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 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 -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 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 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 -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 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 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 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 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 (/.f64 1913510371/448100000 x) (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))
(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 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 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 (/.f64 1913510371/448100000 x) (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))
(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 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 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 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))

eval954.0ms (9.8%)

Compiler

Compiled 13168 to 10284 computations (21.9% saved)

prune256.0ms (2.6%)

Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New73415749
Fresh6410
Picked101
Done145
Total74223765
Error
0.0b
Counts
765 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
30.8b
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
27.9b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
▶32.1b
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) x))
31.0b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
27.9b
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
▶46.3b
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
▶0.1b
(fma.f64 x -70711/100000 (/.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))
▶31.2b
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
30.3b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
▶27.3b
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
30.3b
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
45.5b
(/.f64 1 (/.f64 (+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (*.f64 3648757816023/62748003125 (pow.f64 x -2))) (-.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) 2) (/.f64 13313433599988932715536529/3937311896175009765625 (pow.f64 x 4)))))
✓2.0b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
✓30.2b
(*.f64 x -70711/100000)
32.9b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 (*.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) 16316775383/10000000000))
49.5b
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
48.2b
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -70711/100000) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 -3648757816023/62748003125 (pow.f64 x -2))))
33.1b
16316775383/10000000000
31.0b
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
24.5b
(sqrt.f64 (*.f64 5000045521/10000000000 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x) 2)))
✓0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
30.3b
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
✓27.9b
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
Compiler

Compiled 508 to 398 computations (21.7% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
0.4b
(/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
0.6b
(/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))
✓13.7b
(/.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))
Compiler

Compiled 73 to 58 computations (20.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite73.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
539×log-prod_binary64
324×pow2_binary64
302×pow-prod-down_binary64
227×log1p-udef_binary64
226×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01322
127916
2331916
Stop Event
1×node limit
Counts
1 → 55
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))
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 (*.f64 (*.f64 x 1913510371/10000000000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (*.f64 16316775383/10000000000 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x 1913510371/10000000000)) (*.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 16316775383/10000000000))))) (#(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 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 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))) (#(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 (/.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 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))) (#(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))) (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (/.f64 -1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) 1) (/.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) -2) (/.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -2)) (cbrt.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -2))) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (cbrt.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -2))) (/.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 1 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -2)) (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -1) (neg.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (cbrt.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) 2))) (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 pow.f64 (pow.f64 (/.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 (/.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 pow.f64 (cbrt.f64 (/.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 (sqrt.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 pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -3) (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -3) (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 -1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.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 log.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 log.f64 (+.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 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -3) (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 log1p.f64 (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 exp.f64 (log.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 exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.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 exp.f64 (*.f64 (log.f64 (sqrt.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 exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x 1913510371/10000000000) (*.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1913510371/10000000000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 16316775383/10000000000 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))

simplify75.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
784×fma-def_binary64
739×associate-*l*_binary64
495×associate-*r*_binary64
417×times-frac_binary64
289×associate-*r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040181
1102179
2246177
3656171
41970168
57530168
Stop Event
1×node limit
Counts
67 → 69
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)))))
Outputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) (fma.f64 -1427746267379707/1000000000000000 x 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 (*.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 -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 (/.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 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 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 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 (*.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 -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 (/.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 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 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series3.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
0.0ms
x
@0
(*.f64 -70711/100000 x)
0.0ms
x
@0
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
0.0ms
x
@-inf
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
0.0ms
x
@-inf
(*.f64 -70711/100000 x)

rewrite89.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

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

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
1913510371/9922900000
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
Outputs
1913510371/9922900000
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 29 to 22 computations (24.1% saved)

series8.0ms (0.1%)

Counts
4 → 36
Calls

12 calls:

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

rewrite135.0ms (1.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
121234
2288634
Stop Event
1×node limit
Counts
4 → 250
Calls
Call 1
Inputs
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
(/.f64 20191289437/9846394441 x)
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x)
Outputs
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simplify98.0ms (1%)

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

Useful iterations: 1 (0.0ms)

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

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 20191289437/9846394441 x)
✓0.1b
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
✓0.2b
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) x))
✓0.4b
(/.f64 -2019128943700000/977047873985989 x)
Compiler

Compiled 65 to 46 computations (29.2% saved)

series4.0ms (0%)

Counts
3 → 24
Calls

9 calls:

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

rewrite95.0ms (1%)

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

Useful iterations: 2 (0.0ms)

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

simplify63.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
753×times-frac_binary64
600×associate-/l/_binary64
439×fma-def_binary64
434×unswap-sqr_binary64
400×distribute-neg-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025234
157220
2115220
3249220
4593220
51682220
66554220
Stop Event
1×node limit
Counts
106 → 98
Calls
Call 1
Inputs
(/.f64 -1427746267379707/977047873985989 (pow.f64 x 2))
(-.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1913510371/9922900000 (*.f64 1427746267379707/984639444100000 (/.f64 1 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
Outputs
(/.f64 -1427746267379707/977047873985989 (pow.f64 x 2))
(/.f64 -1427746267379707/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -1427746267379707/977047873985989 x) x)
(-.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 1427746267379707/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 (/.f64 -1427746267379707/977047873985989 x) x))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))
(-.f64 (+.f64 1913510371/9922900000 (*.f64 1427746267379707/984639444100000 (/.f64 1 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 1913510371/9922900000 (-.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (-.f64 1913510371/9922900000 (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(-.f64 (/.f64 1427746267379707/984639444100000 x) (-.f64 (/.f64 1427746267379707/977047873985989 (*.f64 x x)) 1913510371/9922900000))
(-.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 (/.f64 1427746267379707/977047873985989 (*.f64 x x)) -1913510371/9922900000))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 1913510371/9922900000 (/.f64 (/.f64 -1427746267379707/977047873985989 x) x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 1913510371/9922900000 (-.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 1913510371/9922900000 (+.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 (/.f64 -1427746267379707/977047873985989 x) x)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (-.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(fma.f64 x -70711/100000 (-.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 (/.f64 1427746267379707/977047873985989 (*.f64 x x)) -1913510371/9922900000)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 (/.f64 -1427746267379707/977047873985989 x) x))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (fma.f64 x -70711/100000 1913510371/9922900000))
(-.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 -1427746267379707/984639444100000 x))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 1913510371/9922900000 (-.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 1913510371/9922900000 (+.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 (/.f64 -1427746267379707/977047873985989 x) x)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (-.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(fma.f64 x -70711/100000 (-.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 (/.f64 1427746267379707/977047873985989 (*.f64 x x)) -1913510371/9922900000)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 (/.f64 -1427746267379707/977047873985989 x) x))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (fma.f64 x -70711/100000 1913510371/9922900000))
(-.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 -1427746267379707/984639444100000 x))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 1913510371/9922900000 (-.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 1913510371/9922900000 (+.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 (/.f64 -1427746267379707/977047873985989 x) x)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (-.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(fma.f64 x -70711/100000 (-.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 (/.f64 1427746267379707/977047873985989 (*.f64 x x)) -1913510371/9922900000)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 (/.f64 -1427746267379707/977047873985989 x) x))))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (*.f64 x -70711/100000))
0.1b
(*.f64 x -70711/100000)
✓0.3b
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series6.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
1.0ms
x
@0
(sqrt.f64 (*.f64 x -70711/100000))
0.0ms
x
@-inf
(sqrt.f64 (*.f64 x -70711/100000))

rewrite79.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
497×pow1_binary64
488×add-sqr-sqrt_binary64
466×add-log-exp_binary64
466×log1p-expm1-u_binary64
466×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114610
2132210
Stop Event
1×node limit
Counts
2 → 47
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
(sqrt.f64 (*.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 x -70711/100000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (sqrt.f64 -70711/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -70711/100000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -70711/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x -70711/100000)) (sqrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x -70711/100000)) (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x -70711/100000)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x -70711/100000))) (sqrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) (cbrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) (*.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) (sqrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -70711/100000) (sqrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x -70711/100000)) (pow.f64 (*.f64 x -70711/100000) 1/4)) (pow.f64 (*.f64 x -70711/100000) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -70711/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -70711/100000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x -70711/100000)) (cbrt.f64 (*.f64 x -70711/100000))) (cbrt.f64 (sqrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x -70711/100000)) (sqrt.f64 x)) (sqrt.f64 -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 5000045521/10000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -70711/100000) 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 -.f64 (+.f64 1 (sqrt.f64 (*.f64 x -70711/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x -70711/100000))) (cbrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x -70711/100000)) (cbrt.f64 (sqrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -70711/100000) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) (pow.f64 (*.f64 x -70711/100000) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -70711/100000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -70711/100000) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x -70711/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -70711/100000) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x -70711/100000))))))))

simplify144.0ms (1.5%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
47 → 47
Calls
Call 1
Inputs
Outputs

eval616.0ms (6.3%)

Compiler

Compiled 12786 to 10066 computations (21.3% saved)

prune191.0ms (2%)

Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New71710727
Fresh41014
Picked101
Done268
Total72426750
Error
0.0b
Counts
750 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
30.8b
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
▶27.9b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
57.8b
1913510371/9922900000
✓32.1b
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) x))
46.1b
(*.f64 70711/100000 (/.f64 (-.f64 732297721/9846394441 (pow.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) 2)) (-.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))))
31.0b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
27.9b
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
52.7b
(sqrt.f64 (*.f64 5000045521/10000000000 (*.f64 x x)))
30.3b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
✓0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
▶0.1b
(fma.f64 x -70711/100000 (/.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000))))
▶46.1b
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2) (*.f64 x x)) 70711/100000) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
✓27.3b
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
▶30.3b
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
41.8b
(/.f64 1 (/.f64 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x)) (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (*.f64 -70711/100000 x) 2))))
48.1b
(*.f64 (*.f64 -70711/100000 (sqrt.f64 x)) (sqrt.f64 x))
▶30.3b
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
30.5b
(*.f64 70711/100000 (-.f64 (/.f64 20191289437/9846394441 x) x))
✓2.0b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
✓30.2b
(*.f64 x -70711/100000)
32.9b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 (*.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) 16316775383/10000000000))
46.9b
(*.f64 70711/100000 (pow.f64 (sqrt.f64 (+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))) 2))
46.3b
(*.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) (*.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) (sqrt.f64 (*.f64 x -70711/100000))))
33.1b
16316775383/10000000000
31.0b
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
✓27.9b
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
Compiler

Compiled 536 to 421 computations (21.5% saved)

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 x 1913510371/10000000000)
0.4b
(/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
✓0.6b
(/.f64 1 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000))
✓13.7b
(/.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000)))
Compiler

Compiled 80 to 64 computations (20% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite92.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
627×log-prod_binary64
367×pow2_binary64
256×log1p-udef_binary64
255×pow1/3_binary64
255×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01434
131028
2384228
Stop Event
1×node limit
Counts
3 → 96
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000)))
(/.f64 1 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000))
(*.f64 x 1913510371/10000000000)
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 (*.f64 (*.f64 x 1913510371/10000000000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (*.f64 16316775383/10000000000 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 16316775383/10000000000 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (*.f64 (*.f64 x 1913510371/10000000000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x 1913510371/10000000000)) (*.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 16316775383/10000000000) (*.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x 1913510371/10000000000)))))) (#(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 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 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))) (#(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 (/.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))) (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (*.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (/.f64 -1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) 1) (/.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -2))) (/.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -2)) (cbrt.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -2))) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (cbrt.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -2))) (/.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 1 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) (cbrt.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -1/2) (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 7006360205689680003640794811/1000000000000000000000000000000 (pow.f64 x 3) 4344131920367546379167405106887/1000000000000000000000000000000)) (-.f64 (fma.f64 3661521939924557641/100000000000000000000 (*.f64 x x) 266237158899274796689/100000000000000000000) (*.f64 x 31222318916647997093/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 1 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1913510371/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1913510371/10000000000) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1913510371/10000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1913510371/10000000000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1913510371/10000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1913510371/10000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1913510371/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3661521939924557641/100000000000000000000 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1913510371/10000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1913510371/10000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 7006360205689680003640794811/1000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 3661521939924557641/100000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1913510371/10000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1913510371/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 7006360205689680003640794811/1000000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1913510371/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1913510371/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1913510371/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1913510371/10000000000)) 1))))))

simplify57.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
773×times-frac_binary64
598×fma-def_binary64
501×associate-*l/_binary64
458×associate-/l/_binary64
434×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068412
1177408
2444402
31219390
43577390
Stop Event
1×node limit
Counts
132 → 126
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)))))
10000000000/16316775383
(+.f64 10000000000/16316775383 (*.f64 -270610000000000/3765144869953399 x))
(+.f64 10000000000/16316775383 (+.f64 (*.f64 -270610000000000/3765144869953399 x) (*.f64 7322977210000000000/868818474176356679447 (pow.f64 x 2))))
(+.f64 10000000000/16316775383 (+.f64 (*.f64 -198167086279810000000000/200482469371616832852433591 (pow.f64 x 3)) (+.f64 (*.f64 -270610000000000/3765144869953399 x) (*.f64 7322977210000000000/868818474176356679447 (pow.f64 x 2)))))
(/.f64 10000000000/1913510371 x)
(-.f64 (*.f64 10000000000/1913510371 (/.f64 1 x)) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 532469470090000000000/1401259283793164491 (/.f64 1 (pow.f64 x 3))) (*.f64 10000000000/1913510371 (/.f64 1 x))) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 532469470090000000000/1401259283793164491 (/.f64 1 (pow.f64 x 3))) (*.f64 10000000000/1913510371 (/.f64 1 x))) (+.f64 (*.f64 122868927631677770000000000/37919477478726824290951 (/.f64 1 (pow.f64 x 4))) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2)))))
(/.f64 10000000000/1913510371 x)
(-.f64 (*.f64 10000000000/1913510371 (/.f64 1 x)) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 532469470090000000000/1401259283793164491 (/.f64 1 (pow.f64 x 3))) (*.f64 10000000000/1913510371 (/.f64 1 x))) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 532469470090000000000/1401259283793164491 (/.f64 1 (pow.f64 x 3))) (*.f64 10000000000/1913510371 (/.f64 1 x))) (+.f64 (*.f64 122868927631677770000000000/37919477478726824290951 (/.f64 1 (pow.f64 x 4))) (*.f64 2307530000000000/51781504149631 (/.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)
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)
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(fma.f64 -1427746267379707/1000000000000000 x (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 -1427746267379707/1000000000000000 x 16316775383/10000000000))
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(/.f64 1913510371/448100000 x)
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(-.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 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))))
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(+.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)))))
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(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (-.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.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)))))
10000000000/16316775383
(+.f64 10000000000/16316775383 (*.f64 -270610000000000/3765144869953399 x))
(+.f64 10000000000/16316775383 (*.f64 x -270610000000000/3765144869953399))
(fma.f64 x -270610000000000/3765144869953399 10000000000/16316775383)
(+.f64 10000000000/16316775383 (+.f64 (*.f64 -270610000000000/3765144869953399 x) (*.f64 7322977210000000000/868818474176356679447 (pow.f64 x 2))))
(+.f64 10000000000/16316775383 (fma.f64 -270610000000000/3765144869953399 x (*.f64 (*.f64 x x) 7322977210000000000/868818474176356679447)))
(+.f64 10000000000/16316775383 (fma.f64 (*.f64 x x) 7322977210000000000/868818474176356679447 (*.f64 x -270610000000000/3765144869953399)))
(fma.f64 (*.f64 x x) 7322977210000000000/868818474176356679447 (fma.f64 x -270610000000000/3765144869953399 10000000000/16316775383))
(fma.f64 x (fma.f64 x 7322977210000000000/868818474176356679447 -270610000000000/3765144869953399) 10000000000/16316775383)
(+.f64 10000000000/16316775383 (+.f64 (*.f64 -198167086279810000000000/200482469371616832852433591 (pow.f64 x 3)) (+.f64 (*.f64 -270610000000000/3765144869953399 x) (*.f64 7322977210000000000/868818474176356679447 (pow.f64 x 2)))))
(+.f64 10000000000/16316775383 (fma.f64 -198167086279810000000000/200482469371616832852433591 (pow.f64 x 3) (fma.f64 -270610000000000/3765144869953399 x (*.f64 (*.f64 x x) 7322977210000000000/868818474176356679447))))
(+.f64 10000000000/16316775383 (fma.f64 (pow.f64 x 3) -198167086279810000000000/200482469371616832852433591 (fma.f64 (*.f64 x x) 7322977210000000000/868818474176356679447 (*.f64 x -270610000000000/3765144869953399))))
(fma.f64 (pow.f64 x 3) -198167086279810000000000/200482469371616832852433591 (fma.f64 (*.f64 x x) 7322977210000000000/868818474176356679447 (fma.f64 x -270610000000000/3765144869953399 10000000000/16316775383)))
(fma.f64 x -270610000000000/3765144869953399 (fma.f64 (*.f64 x x) (fma.f64 x -198167086279810000000000/200482469371616832852433591 7322977210000000000/868818474176356679447) 10000000000/16316775383))
(fma.f64 (*.f64 x x) (fma.f64 x -198167086279810000000000/200482469371616832852433591 7322977210000000000/868818474176356679447) (fma.f64 x -270610000000000/3765144869953399 10000000000/16316775383))
(/.f64 10000000000/1913510371 x)
(-.f64 (*.f64 10000000000/1913510371 (/.f64 1 x)) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 10000000000/1913510371 x) (/.f64 2307530000000000/51781504149631 (*.f64 x x)))
(-.f64 (/.f64 10000000000/1913510371 x) (/.f64 (/.f64 2307530000000000/51781504149631 x) x))
(+.f64 (/.f64 10000000000/1913510371 x) (/.f64 -2307530000000000/51781504149631 (*.f64 x x)))
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(+.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (-.f64 (/.f64 10000000000/1913510371 x) (/.f64 2307530000000000/51781504149631 (*.f64 x x))))
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(+.f64 (/.f64 10000000000/1913510371 x) (+.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (/.f64 -2307530000000000/51781504149631 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 532469470090000000000/1401259283793164491 (/.f64 1 (pow.f64 x 3))) (*.f64 10000000000/1913510371 (/.f64 1 x))) (+.f64 (*.f64 122868927631677770000000000/37919477478726824290951 (/.f64 1 (pow.f64 x 4))) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 10000000000/1913510371 x) (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3))) (+.f64 (/.f64 2307530000000000/51781504149631 (*.f64 x x)) (/.f64 122868927631677770000000000/37919477478726824290951 (pow.f64 x 4))))
(+.f64 (/.f64 10000000000/1913510371 x) (-.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 2307530000000000/51781504149631 x) x) (/.f64 122868927631677770000000000/37919477478726824290951 (pow.f64 x 4)))))
(+.f64 (/.f64 10000000000/1913510371 x) (+.f64 (/.f64 -2307530000000000/51781504149631 (*.f64 x x)) (+.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (/.f64 -122868927631677770000000000/37919477478726824290951 (pow.f64 x 4)))))
(/.f64 10000000000/1913510371 x)
(-.f64 (*.f64 10000000000/1913510371 (/.f64 1 x)) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 10000000000/1913510371 x) (/.f64 2307530000000000/51781504149631 (*.f64 x x)))
(-.f64 (/.f64 10000000000/1913510371 x) (/.f64 (/.f64 2307530000000000/51781504149631 x) x))
(+.f64 (/.f64 10000000000/1913510371 x) (/.f64 -2307530000000000/51781504149631 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 532469470090000000000/1401259283793164491 (/.f64 1 (pow.f64 x 3))) (*.f64 10000000000/1913510371 (/.f64 1 x))) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (-.f64 (/.f64 10000000000/1913510371 x) (/.f64 2307530000000000/51781504149631 (*.f64 x x))))
(+.f64 (/.f64 10000000000/1913510371 x) (-.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (/.f64 (/.f64 2307530000000000/51781504149631 x) x)))
(+.f64 (/.f64 10000000000/1913510371 x) (+.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (/.f64 -2307530000000000/51781504149631 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 532469470090000000000/1401259283793164491 (/.f64 1 (pow.f64 x 3))) (*.f64 10000000000/1913510371 (/.f64 1 x))) (+.f64 (*.f64 122868927631677770000000000/37919477478726824290951 (/.f64 1 (pow.f64 x 4))) (*.f64 2307530000000000/51781504149631 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 10000000000/1913510371 x) (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3))) (+.f64 (/.f64 2307530000000000/51781504149631 (*.f64 x x)) (/.f64 122868927631677770000000000/37919477478726824290951 (pow.f64 x 4))))
(+.f64 (/.f64 10000000000/1913510371 x) (-.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 2307530000000000/51781504149631 x) x) (/.f64 122868927631677770000000000/37919477478726824290951 (pow.f64 x 4)))))
(+.f64 (/.f64 10000000000/1913510371 x) (+.f64 (/.f64 -2307530000000000/51781504149631 (*.f64 x x)) (+.f64 (/.f64 532469470090000000000/1401259283793164491 (pow.f64 x 3)) (/.f64 -122868927631677770000000000/37919477478726824290951 (pow.f64 x 4)))))
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)

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)

series3.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 -2134856267379707/1000000000000000 x)
0.0ms
x
@inf
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
0.0ms
x
@inf
(*.f64 -2134856267379707/1000000000000000 x)
0.0ms
x
@-inf
(*.f64 -2134856267379707/1000000000000000 x)
0.0ms
x
@-inf
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)

rewrite85.0ms (0.9%)

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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-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)))))

simplify9.0ms (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)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
0.1b
(*.f64 -70711/100000 x)
✓0.3b
(*.f64 1913510371/448100000 (/.f64 1 x))
Compiler

Compiled 25 to 19 computations (24% saved)

series2.0ms (0%)

Counts
2 → 15
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
0.0ms
x
@0
(*.f64 1913510371/448100000 (/.f64 1 x))
0.0ms
x
@-inf
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
0.0ms
x
@inf
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
0.0ms
x
@inf
(*.f64 1913510371/448100000 (/.f64 1 x))

rewrite69.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
924×pow1_binary64
867×add-log-exp_binary64
867×log1p-expm1-u_binary64
867×expm1-log1p-u_binary64
851×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0914
119412
2241112
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(*.f64 1913510371/448100000 (/.f64 1 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1913510371/448100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1913510371/448100000 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 1913510371/448100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1913510371/448100000 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1913510371/448100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1913510371/448100000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1913510371/448100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1913510371/448100000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1913510371/448100000 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x))) (/.f64 (*.f64 5000045521/10000000000 (*.f64 x x)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) 2) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (pow.f64 (*.f64 x -70711/100000) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (*.f64 (*.f64 x -70711/100000) (-.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (*.f64 5000045521/10000000000 (*.f64 x x))) (/.f64 1 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (*.f64 (*.f64 x -70711/100000) (-.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x)))) (+.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (pow.f64 (*.f64 x -70711/100000) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x)) (-.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (*.f64 5000045521/10000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (pow.f64 (*.f64 x -70711/100000) 3)) (+.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (*.f64 (*.f64 x -70711/100000) (-.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (pow.f64 (*.f64 x -70711/100000) 3)) (+.f64 (*.f64 5000045521/10000000000 (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (*.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (*.f64 5000045521/10000000000 (*.f64 x x))) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (pow.f64 (*.f64 x -70711/100000) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (*.f64 (*.f64 x -70711/100000) (-.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (*.f64 5000045521/10000000000 (*.f64 x x)))) (neg.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 5000045521/10000000000 (*.f64 x x)) (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000)) (-.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1913510371/448100000 (/.f64 1 x) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1913510371/448100000 (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) (cbrt.f64 (*.f64 x -70711/100000)) (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) 2) (cbrt.f64 (/.f64 1913510371/448100000 x)) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -70711/100000)) (sqrt.f64 (*.f64 x -70711/100000)) (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1913510371/448100000 x)) (sqrt.f64 (/.f64 1913510371/448100000 x)) (*.f64 x -70711/100000))))))

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0660
1760
Stop Event
1×saturated
Counts
68 → 55
Calls
Call 1
Inputs
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
Outputs
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(/.f64 1913510371/448100000 x)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
0.2b
(/.f64 1913510371/448100000 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 20191289437/9846394441 x)
✓0.2b
(*.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2) (*.f64 x x)) 70711/100000)
✓0.2b
(pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2)
✓26.2b
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2) (*.f64 x x)) 70711/100000) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
Compiler

Compiled 81 to 57 computations (29.6% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2) (*.f64 x x)) 70711/100000) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
1.0ms
x
@-inf
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2) (*.f64 x x)) 70711/100000) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
1.0ms
x
@inf
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2) (*.f64 x x)) 70711/100000) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
0.0ms
x
@0
(*.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2) (*.f64 x x)) 70711/100000)
0.0ms
x
@inf
(*.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2) (*.f64 x x)) 70711/100000)

rewrite105.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
584×fma-def_binary64
316×fma-neg_binary64
315×expm1-udef_binary64
315×log1p-udef_binary64
267×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01560
136360
2521060
Stop Event
1×node limit
Counts
3 → 101
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2) (*.f64 x x)) 70711/100000) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
(pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2)
(*.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2) (*.f64 x x)) 70711/100000)
Outputs
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simplify124.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
929×fma-def_binary64
860×associate-/r/_binary64
499×associate-/l/_binary64
493×associate-/r*_binary64
473×associate-*l*_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
044420
199390
2182390
3273390
4476390
51195390
64711370
76201370
86424370
96667370
106919370
117300370
Stop Event
1×node limit
Counts
137 → 135
Calls
Call 1
Inputs
(/.f64 1427746267379707/984639444100000 x)
(+.f64 1913510371/9922900000 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(/.f64 407688169128707776969/96951483487755702481 (pow.f64 x 2))
(+.f64 (*.f64 407688169128707776969/96951483487755702481 (/.f64 1 (pow.f64 x 2))) (*.f64 1092792966909314/977047873985989 (/.f64 1 x)))
(+.f64 732297721/9846394441 (+.f64 (*.f64 1092792966909314/977047873985989 (/.f64 1 x)) (*.f64 407688169128707776969/96951483487755702481 (/.f64 1 (pow.f64 x 2)))))
(+.f64 732297721/9846394441 (+.f64 (*.f64 1092792966909314/977047873985989 (/.f64 1 x)) (*.f64 407688169128707776969/96951483487755702481 (/.f64 1 (pow.f64 x 2)))))
732297721/9846394441
(+.f64 732297721/9846394441 (*.f64 1092792966909314/977047873985989 (/.f64 1 x)))
(+.f64 (*.f64 407688169128707776969/96951483487755702481 (/.f64 1 (pow.f64 x 2))) (+.f64 732297721/9846394441 (*.f64 1092792966909314/977047873985989 (/.f64 1 x))))
(+.f64 (*.f64 407688169128707776969/96951483487755702481 (/.f64 1 (pow.f64 x 2))) (+.f64 732297721/9846394441 (*.f64 1092792966909314/977047873985989 (/.f64 1 x))))
732297721/9846394441
(+.f64 732297721/9846394441 (*.f64 1092792966909314/977047873985989 (/.f64 1 x)))
(+.f64 (*.f64 407688169128707776969/96951483487755702481 (/.f64 1 (pow.f64 x 2))) (+.f64 732297721/9846394441 (*.f64 1092792966909314/977047873985989 (/.f64 1 x))))
(+.f64 (*.f64 407688169128707776969/96951483487755702481 (/.f64 1 (pow.f64 x 2))) (+.f64 732297721/9846394441 (*.f64 1092792966909314/977047873985989 (/.f64 1 x))))
(/.f64 28828038127260055617254959/9695148348775570248100000 (pow.f64 x 2))
(+.f64 (*.f64 28828038127260055617254959/9695148348775570248100000 (/.f64 1 (pow.f64 x 2))) (*.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)))
(+.f64 (*.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (*.f64 28828038127260055617254959/9695148348775570248100000 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (+.f64 (*.f64 28828038127260055617254959/9695148348775570248100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))))
(*.f64 -70711/100000 (pow.f64 x 2))
(+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (*.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (pow.f64 x 2))))
(+.f64 (*.f64 28828038127260055617254959/9695148348775570248100000 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (pow.f64 x 2)))))
(*.f64 -70711/100000 (pow.f64 x 2))
(+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (*.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (pow.f64 x 2))))
(+.f64 (*.f64 28828038127260055617254959/9695148348775570248100000 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (pow.f64 x 2)))))
Outputs
(/.f64 1427746267379707/984639444100000 x)
(+.f64 1913510371/9922900000 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)))
(+.f64 1913510371/9922900000 (/.f64 1427746267379707/984639444100000 x))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 1427746267379707/984639444100000 (/.f64 1 x)) (*.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(/.f64 407688169128707776969/96951483487755702481 (pow.f64 x 2))
(/.f64 407688169128707776969/96951483487755702481 (*.f64 x x))
(+.f64 (*.f64 407688169128707776969/96951483487755702481 (/.f64 1 (pow.f64 x 2))) (*.f64 1092792966909314/977047873985989 (/.f64 1 x)))
(+.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)) (/.f64 1092792966909314/977047873985989 x))
(*.f64 (/.f64 1 x) (+.f64 (/.f64 407688169128707776969/96951483487755702481 x) 1092792966909314/977047873985989))
(+.f64 732297721/9846394441 (+.f64 (*.f64 1092792966909314/977047873985989 (/.f64 1 x)) (*.f64 407688169128707776969/96951483487755702481 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)) (+.f64 (/.f64 1092792966909314/977047873985989 x) 732297721/9846394441))
(fma.f64 (/.f64 1 x) (+.f64 1092792966909314/977047873985989 (/.f64 407688169128707776969/96951483487755702481 x)) 732297721/9846394441)
(+.f64 732297721/9846394441 (+.f64 (*.f64 1092792966909314/977047873985989 (/.f64 1 x)) (*.f64 407688169128707776969/96951483487755702481 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)) (+.f64 (/.f64 1092792966909314/977047873985989 x) 732297721/9846394441))
(fma.f64 (/.f64 1 x) (+.f64 1092792966909314/977047873985989 (/.f64 407688169128707776969/96951483487755702481 x)) 732297721/9846394441)
732297721/9846394441
(+.f64 732297721/9846394441 (*.f64 1092792966909314/977047873985989 (/.f64 1 x)))
(+.f64 (/.f64 1092792966909314/977047873985989 x) 732297721/9846394441)
(+.f64 (*.f64 407688169128707776969/96951483487755702481 (/.f64 1 (pow.f64 x 2))) (+.f64 732297721/9846394441 (*.f64 1092792966909314/977047873985989 (/.f64 1 x))))
(+.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)) (+.f64 (/.f64 1092792966909314/977047873985989 x) 732297721/9846394441))
(fma.f64 (/.f64 1 x) (+.f64 1092792966909314/977047873985989 (/.f64 407688169128707776969/96951483487755702481 x)) 732297721/9846394441)
(+.f64 (*.f64 407688169128707776969/96951483487755702481 (/.f64 1 (pow.f64 x 2))) (+.f64 732297721/9846394441 (*.f64 1092792966909314/977047873985989 (/.f64 1 x))))
(+.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)) (+.f64 (/.f64 1092792966909314/977047873985989 x) 732297721/9846394441))
(fma.f64 (/.f64 1 x) (+.f64 1092792966909314/977047873985989 (/.f64 407688169128707776969/96951483487755702481 x)) 732297721/9846394441)
732297721/9846394441
(+.f64 732297721/9846394441 (*.f64 1092792966909314/977047873985989 (/.f64 1 x)))
(+.f64 (/.f64 1092792966909314/977047873985989 x) 732297721/9846394441)
(+.f64 (*.f64 407688169128707776969/96951483487755702481 (/.f64 1 (pow.f64 x 2))) (+.f64 732297721/9846394441 (*.f64 1092792966909314/977047873985989 (/.f64 1 x))))
(+.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)) (+.f64 (/.f64 1092792966909314/977047873985989 x) 732297721/9846394441))
(fma.f64 (/.f64 1 x) (+.f64 1092792966909314/977047873985989 (/.f64 407688169128707776969/96951483487755702481 x)) 732297721/9846394441)
(+.f64 (*.f64 407688169128707776969/96951483487755702481 (/.f64 1 (pow.f64 x 2))) (+.f64 732297721/9846394441 (*.f64 1092792966909314/977047873985989 (/.f64 1 x))))
(+.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)) (+.f64 (/.f64 1092792966909314/977047873985989 x) 732297721/9846394441))
(fma.f64 (/.f64 1 x) (+.f64 1092792966909314/977047873985989 (/.f64 407688169128707776969/96951483487755702481 x)) 732297721/9846394441)
(/.f64 28828038127260055617254959/9695148348775570248100000 (pow.f64 x 2))
(/.f64 28828038127260055617254959/9695148348775570248100000 (*.f64 x x))
(+.f64 (*.f64 28828038127260055617254959/9695148348775570248100000 (/.f64 1 (pow.f64 x 2))) (*.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)))
(+.f64 (/.f64 28828038127260055617254959/9695148348775570248100000 (*.f64 x x)) (/.f64 38636241741562251127/48852393699299450000 x))
(+.f64 (*.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (*.f64 28828038127260055617254959/9695148348775570248100000 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (+.f64 (/.f64 28828038127260055617254959/9695148348775570248100000 (*.f64 x x)) 51781504149631/984639444100000))
(+.f64 (/.f64 28828038127260055617254959/9695148348775570248100000 (*.f64 x x)) (+.f64 (/.f64 38636241741562251127/48852393699299450000 x) 51781504149631/984639444100000))
(fma.f64 (/.f64 1 x) (+.f64 38636241741562251127/48852393699299450000 (/.f64 28828038127260055617254959/9695148348775570248100000 x)) 51781504149631/984639444100000)
(+.f64 (*.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (+.f64 (*.f64 28828038127260055617254959/9695148348775570248100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))))
(+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (+.f64 51781504149631/984639444100000 (+.f64 (/.f64 28828038127260055617254959/9695148348775570248100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))))
(+.f64 (/.f64 28828038127260055617254959/9695148348775570248100000 (*.f64 x x)) (+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (fma.f64 -70711/100000 (*.f64 x x) 51781504149631/984639444100000)))
(+.f64 (/.f64 28828038127260055617254959/9695148348775570248100000 (*.f64 x x)) (+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (fma.f64 x (*.f64 x -70711/100000) 51781504149631/984639444100000)))
(+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (+.f64 (/.f64 28828038127260055617254959/9695148348775570248100000 (*.f64 x x)) (fma.f64 x (*.f64 x -70711/100000) 51781504149631/984639444100000)))
(fma.f64 x (*.f64 x -70711/100000) (fma.f64 (/.f64 1 x) (+.f64 38636241741562251127/48852393699299450000 (/.f64 28828038127260055617254959/9695148348775570248100000 x)) 51781504149631/984639444100000))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) 51781504149631/984639444100000)
(fma.f64 x (*.f64 x -70711/100000) 51781504149631/984639444100000)
(+.f64 (*.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (pow.f64 x 2))))
(+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (*.f64 x x))))
(+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (fma.f64 -70711/100000 (*.f64 x x) 51781504149631/984639444100000))
(+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (fma.f64 x (*.f64 x -70711/100000) 51781504149631/984639444100000))
(+.f64 (*.f64 28828038127260055617254959/9695148348775570248100000 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (pow.f64 x 2)))))
(+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (+.f64 51781504149631/984639444100000 (+.f64 (/.f64 28828038127260055617254959/9695148348775570248100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))))
(+.f64 (/.f64 28828038127260055617254959/9695148348775570248100000 (*.f64 x x)) (+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (fma.f64 -70711/100000 (*.f64 x x) 51781504149631/984639444100000)))
(+.f64 (/.f64 28828038127260055617254959/9695148348775570248100000 (*.f64 x x)) (+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (fma.f64 x (*.f64 x -70711/100000) 51781504149631/984639444100000)))
(+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (+.f64 (/.f64 28828038127260055617254959/9695148348775570248100000 (*.f64 x x)) (fma.f64 x (*.f64 x -70711/100000) 51781504149631/984639444100000)))
(fma.f64 x (*.f64 x -70711/100000) (fma.f64 (/.f64 1 x) (+.f64 38636241741562251127/48852393699299450000 (/.f64 28828038127260055617254959/9695148348775570248100000 x)) 51781504149631/984639444100000))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) 51781504149631/984639444100000)
(fma.f64 x (*.f64 x -70711/100000) 51781504149631/984639444100000)
(+.f64 (*.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (pow.f64 x 2))))
(+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (*.f64 x x))))
(+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (fma.f64 -70711/100000 (*.f64 x x) 51781504149631/984639444100000))
(+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (fma.f64 x (*.f64 x -70711/100000) 51781504149631/984639444100000))
(+.f64 (*.f64 28828038127260055617254959/9695148348775570248100000 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (pow.f64 x 2)))))
(+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (+.f64 51781504149631/984639444100000 (+.f64 (/.f64 28828038127260055617254959/9695148348775570248100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))))
(+.f64 (/.f64 28828038127260055617254959/9695148348775570248100000 (*.f64 x x)) (+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (fma.f64 -70711/100000 (*.f64 x x) 51781504149631/984639444100000)))
(+.f64 (/.f64 28828038127260055617254959/9695148348775570248100000 (*.f64 x x)) (+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (fma.f64 x (*.f64 x -70711/100000) 51781504149631/984639444100000)))
(+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (+.f64 (/.f64 28828038127260055617254959/9695148348775570248100000 (*.f64 x x)) (fma.f64 x (*.f64 x -70711/100000) 51781504149631/984639444100000)))
(fma.f64 x (*.f64 x -70711/100000) (fma.f64 (/.f64 1 x) (+.f64 38636241741562251127/48852393699299450000 (/.f64 28828038127260055617254959/9695148348775570248100000 x)) 51781504149631/984639444100000))

eval753.0ms (7.7%)

Compiler

Compiled 11638 to 8983 computations (22.8% saved)

prune187.0ms (1.9%)

Pruning

26 alts after pruning (18 fresh and 8 done)

PrunedKeptTotal
New5585563
Fresh21315
Picked101
Done2810
Total56326589
Error
0.0b
Counts
589 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
30.8b
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
✓27.9b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
57.8b
1913510371/9922900000
33.1b
16316775383/10000000000
30.3b
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
31.0b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
27.9b
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
52.7b
(sqrt.f64 (*.f64 5000045521/10000000000 (*.f64 x x)))
30.3b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
✓0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
✓0.1b
(fma.f64 x -70711/100000 (/.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000))))
✓27.3b
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
✓30.3b
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
30.5b
(*.f64 70711/100000 (-.f64 (/.f64 20191289437/9846394441 x) x))
✓2.0b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
45.2b
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (*.f64 5000045521/10000000000 (*.f64 x x))) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x)))
✓30.2b
(*.f64 x -70711/100000)
45.6b
(/.f64 (*.f64 (-.f64 732297721/9846394441 (*.f64 x x)) 70711/100000) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
✓27.9b
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
32.9b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 (*.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) 16316775383/10000000000))
46.9b
(*.f64 70711/100000 (pow.f64 (sqrt.f64 (+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))) 2))
46.3b
(*.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) (*.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) (sqrt.f64 (*.f64 x -70711/100000))))
45.6b
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
31.0b
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
41.8b
(/.f64 1 (/.f64 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x)) (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (*.f64 -70711/100000 x) 2))))
45.2b
(/.f64 1 (/.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x)) (-.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (*.f64 5000045521/10000000000 (*.f64 x x)))))
Compiler

Compiled 310 to 243 computations (21.6% saved)

regimes823.0ms (8.4%)

Counts
47 → 1
Calls
Call 1
Inputs
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(*.f64 70711/100000 (-.f64 (/.f64 20191289437/9846394441 x) x))
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
(/.f64 (*.f64 (-.f64 732297721/9846394441 (*.f64 x x)) 70711/100000) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(sqrt.f64 (*.f64 5000045521/10000000000 (*.f64 x x)))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 (*.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) 16316775383/10000000000))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(/.f64 1 (/.f64 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x)) (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (*.f64 -70711/100000 x) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (*.f64 5000045521/10000000000 (*.f64 x x))) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x)))
(*.f64 70711/100000 (/.f64 (-.f64 732297721/9846394441 (pow.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) 2)) (-.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x)) (-.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (*.f64 5000045521/10000000000 (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2) (*.f64 x x)) 70711/100000) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
(*.f64 (*.f64 -70711/100000 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 70711/100000 (pow.f64 (sqrt.f64 (+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))) 2))
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(*.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) (*.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) (sqrt.f64 (*.f64 x -70711/100000))))
(fma.f64 x -70711/100000 (/.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (+.f64 (*.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)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -70711/100000) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 -3648757816023/62748003125 (pow.f64 x -2))))
(sqrt.f64 (*.f64 5000045521/10000000000 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x) 2)))
(fma.f64 x -70711/100000 (/.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))
(fma.f64 x -70711/100000 (*.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (pow.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -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)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (*.f64 3648757816023/62748003125 (pow.f64 x -2))) (-.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) 2) (/.f64 13313433599988932715536529/3937311896175009765625 (pow.f64 x 4)))))
(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))
(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)
Outputs
(fma.f64 x -70711/100000 (/.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000))))
Calls

5 calls:

672.0ms
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
40.0ms
x
30.0ms
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
27.0ms
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
27.0ms
(-.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 676 to 510 computations (24.6% saved)

regimes79.0ms (0.8%)

Counts
37 → 1
Calls
Call 1
Inputs
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(*.f64 70711/100000 (-.f64 (/.f64 20191289437/9846394441 x) x))
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
(/.f64 (*.f64 (-.f64 732297721/9846394441 (*.f64 x x)) 70711/100000) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(sqrt.f64 (*.f64 5000045521/10000000000 (*.f64 x x)))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 (*.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) 16316775383/10000000000))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(/.f64 1 (/.f64 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x)) (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (*.f64 -70711/100000 x) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (*.f64 5000045521/10000000000 (*.f64 x x))) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x)))
(*.f64 70711/100000 (/.f64 (-.f64 732297721/9846394441 (pow.f64 (-.f64 (/.f64 20191289437/9846394441 x) x) 2)) (-.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 70711/100000 x)) (-.f64 (*.f64 (pow.f64 x -2) 3661521939924557641/200793610000000000) (*.f64 5000045521/10000000000 (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) 2) (*.f64 x x)) 70711/100000) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
(*.f64 (*.f64 -70711/100000 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 70711/100000 (pow.f64 (sqrt.f64 (+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))) 2))
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(*.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) (*.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) (sqrt.f64 (*.f64 x -70711/100000))))
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:

22.0ms
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
18.0ms
x
12.0ms
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
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 443 to 329 computations (25.7% saved)

regimes16.0ms (0.2%)

Counts
19 → 1
Calls
Call 1
Inputs
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(*.f64 70711/100000 (-.f64 (/.f64 20191289437/9846394441 x) x))
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
(/.f64 (*.f64 (-.f64 732297721/9846394441 (*.f64 x x)) 70711/100000) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
2.0b1x
Compiler

Compiled 162 to 120 computations (25.9% saved)

regimes32.0ms (0.3%)

Counts
18 → 3
Calls
Call 1
Inputs
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(*.f64 70711/100000 (-.f64 (/.f64 20191289437/9846394441 x) x))
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
(/.f64 (*.f64 (-.f64 732297721/9846394441 (*.f64 x x)) 70711/100000) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))) x))
Outputs
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
Calls

1 calls:

27.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 147 to 108 computations (26.5% saved)

bsearch48.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
24.0ms
0.3917278794254961
3.7643949243983412
23.0ms
-2644.5854058498144
-0.039895893103919736
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes45.0ms (0.5%)

Counts
15 → 3
Calls
Call 1
Inputs
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(*.f64 70711/100000 (-.f64 (/.f64 20191289437/9846394441 x) x))
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
Outputs
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
Calls

1 calls:

41.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
Compiler

Compiled 104 to 78 computations (25% saved)

bsearch102.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
0.3917278794254961
3.7643949243983412
78.0ms
-2644.5854058498144
-0.039895893103919736
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes54.0ms (0.6%)

Counts
14 → 3
Calls
Call 1
Inputs
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(*.f64 70711/100000 (-.f64 (/.f64 20191289437/9846394441 x) x))
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(*.f64 70711/100000 (-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x))
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) x)))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
Calls

1 calls:

50.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 91 to 69 computations (24.2% saved)

bsearch193.0ms (2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
168.0ms
0.3917278794254961
3.7643949243983412
24.0ms
-2644.5854058498144
-0.039895893103919736
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes20.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(*.f64 70711/100000 (-.f64 (/.f64 20191289437/9846394441 x) x))
(*.f64 70711/100000 (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000))
Outputs
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
Calls

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 44 to 34 computations (22.7% saved)

bsearch49.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
0.3917278794254961
3.7643949243983412
24.0ms
-2644.5854058498144
-0.039895893103919736
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes41.0ms (0.4%)

Counts
6 → 3
Calls
Call 1
Inputs
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
Outputs
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 x -70711/100000)
Calls

1 calls:

40.0ms
x
Results
ErrorSegmentsBranch
1.3b3x
Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch46.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.3917278794254961
3.7643949243983412
23.0ms
-2644.5854058498144
-0.039895893103919736
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes60.0ms (0.6%)

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

1 calls:

59.0ms
x
Results
ErrorSegmentsBranch
1.8b3x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch48.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
0.3917278794254961
3.7643949243983412
25.0ms
-2644.5854058498144
-0.039895893103919736
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes4.0ms (0%)

Accuracy

Total -24.8b remaining (-74.9%)

Threshold costs -24.8b (-74.9%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
33.1b1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify18.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
071320
198320
2105320
3107320
4108320
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 x -70711/100000 (/.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000))))
(*.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 -2907752404378583/1099511627776) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))))
(if (<=.f64 x -2907752404378583/1099511627776) (+.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (+.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(if (<=.f64 x -2907752404378583/1099511627776) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))))
(if (<=.f64 x -2907752404378583/1099511627776) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))))
(if (<=.f64 x -2907752404378583/1099511627776) (*.f64 x -70711/100000) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -2907752404378583/1099511627776) (*.f64 x -70711/100000) (if (<=.f64 x 7056742127245195/18014398509481984) 16316775383/10000000000 (*.f64 x -70711/100000)))
16316775383/10000000000
1913510371/9922900000
Outputs
(fma.f64 x -70711/100000 (/.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000))))
(*.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 -2907752404378583/1099511627776) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))))
(if (<=.f64 x -2907752404378583/1099511627776) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))))
(if (<=.f64 x -2907752404378583/1099511627776) (+.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (+.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(if (<=.f64 x -2907752404378583/1099511627776) (+.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)) (+.f64 (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(if (<=.f64 x -2907752404378583/1099511627776) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))))
(if (<=.f64 x -2907752404378583/1099511627776) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))))
(if (<=.f64 x -2907752404378583/1099511627776) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))))
(if (<=.f64 x -2907752404378583/1099511627776) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))))
(if (<=.f64 x -2907752404378583/1099511627776) (*.f64 x -70711/100000) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -2907752404378583/1099511627776) (*.f64 x -70711/100000) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)) (*.f64 x -70711/100000)))
(if (<=.f64 x -2907752404378583/1099511627776) (*.f64 x -70711/100000) (if (<=.f64 x 7056742127245195/18014398509481984) 16316775383/10000000000 (*.f64 x -70711/100000)))
16316775383/10000000000
1913510371/9922900000
Compiler

Compiled 233 to 176 computations (24.5% saved)

soundness258.0ms (2.6%)

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)

end131.0ms (1.3%)

Compiler

Compiled 223 to 166 computations (25.6% saved)

Profiling

Loading profile data...