Details

Time bar (total: 8.0s)

analyze16.0ms (0.2%)

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)

sample1.2s (14.9%)

Results
1.2s8256×body256valid
Bogosity

preprocess103.0ms (1.3%)

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)

simplify88.0ms (1.1%)

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

Useful iterations: 5 (0.0ms)

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

eval2.0ms (0%)

Compiler

Compiled 35 to 27 computations (22.9% saved)

prune4.0ms (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
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
▶0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
Compiler

Compiled 36 to 28 computations (22.2% saved)

localize70.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))
✓0.4b
(*.f64 x 4481/100000)
✓0.4b
(*.f64 x 27061/100000)
✓16.0b
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))
Compiler

Compiled 91 to 71 computations (22% saved)

series13.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

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

rewrite130.0ms (1.6%)

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)))))))

simplify86.0ms (1.1%)

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

Useful iterations: 4 (0.0ms)

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

localize39.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
✓0.2b
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
✓0.2b
(fma.f64 x 4481/100000 99229/100000)
✓15.9b
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
Compiler

Compiled 50 to 38 computations (24% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite106.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify74.0ms (0.9%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
059470
1147436
2343432
3901420
42558420
56287420
Stop Event
1×node limit
Counts
214 → 204
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
Outputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000))))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000))
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(-.f64 (+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (-.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(-.f64 (+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (-.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000))) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 16316775383/10000000000))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))

eval315.0ms (3.9%)

Compiler

Compiled 7780 to 6110 computations (21.5% saved)

prune83.0ms (1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New33512347
Fresh000
Picked101
Done011
Total33613349
Error
0.1b
Counts
349 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(fma.f64 x -70711/100000 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1))
▶0.1b
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
18.4b
(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)
1.4b
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
17.1b
(/.f64 (-.f64 (pow.f64 (*.f64 x -70711/100000) 2) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
31.5b
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
26.8b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
19.2b
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3))
▶31.4b
(*.f64 x -70711/100000)
✓0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
1.3b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
▶31.5b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
▶32.3b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
Compiler

Compiled 438 to 344 computations (21.5% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
0.2b
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
0.4b
(*.f64 x 4481/100000)
✓15.9b
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
Compiler

Compiled 57 to 44 computations (22.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite83.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01436
129836
2346736
Stop Event
1×node limit
Counts
2 → 69
Calls
Call 1
Inputs
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
Outputs
((#(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 (pow.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 (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 (sqrt.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 (neg.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (neg.f64 (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 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) 2)) 1) (/.f64 (cbrt.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 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 1) (/.f64 (sqrt.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 (fma.f64 x 4481/100000 99229/100000) 1)) -2) (/.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 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) 2)) (cbrt.f64 (pow.f64 (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 (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (cbrt.f64 (pow.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 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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 +.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -70711/100000) 1) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 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((x *.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)))) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -70711/100000) 3) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) (+.f64 (pow.f64 (*.f64 x -70711/100000) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x -70711/100000) 2) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (exp.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (exp.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x -70711/100000)) (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1))))))

simplify70.0ms (0.9%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
051344
1135328
2328324
3881312
42508312
57231312
Stop Event
1×node limit
Counts
93 → 97
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
Outputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 16316775383/10000000000))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -3648757816023/62748003125 x) x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -3648757816023/62748003125 x) x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 16316775383/10000000000))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 x -70711/100000)
Compiler

Compiled 6 to 4 computations (33.3% saved)

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)

rewrite50.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
✓0.3b
(/.f64 27061/4481 x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

series7.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/.f64 27061/4481 x)
1.0ms
x
@0
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
1.0ms
x
@0
(/.f64 27061/4481 x)
1.0ms
x
@inf
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
0.0ms
x
@inf
(/.f64 27061/4481 x)

rewrite433.0ms (5.4%)

Algorithm
1×batch-egg-rewrite
Rules
829×pow1_binary64
782×add-log-exp_binary64
782×log1p-expm1-u_binary64
782×expm1-log1p-u_binary64
768×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115914
2208614
Stop Event
1×node limit
Counts
2 → 37
Calls
Call 1
Inputs
(/.f64 27061/4481 x)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 27061/4481 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 27061/4481 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 27061/4481 x)) (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2) (cbrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 27061/4481 x)) (sqrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -27061/4481 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 27061/4481)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 27061/4481 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4481/27061) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 27061/4481 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 27061/4481 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 27061/4481 x) 70711/100000) (*.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 70711/100000 (/.f64 27061/4481 x)) (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3)) 70711/100000) (+.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x))) (+.f64 x (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 (/.f64 27061/4481 x) x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))))))))

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
2×*-commutative_binary64
1×+-commutative_binary64
1×associate-*r/_binary64
1×1-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010102
11784
22184
Stop Event
1×saturated
Counts
49 → 42
Calls
Call 1
Inputs
(/.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))
Outputs
(/.f64 1913510371/448100000 x)
(+.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 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 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 -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 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 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 -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 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 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))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 49 to 33 computations (32.7% saved)

series4.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

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

rewrite89.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01130
126630
2406430
Stop Event
1×node limit
Counts
3 → 93
Calls
Call 1
Inputs
(/.f64 -1651231776/20079361 x)
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1651231776/20079361 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1651231776/20079361 x))) (cbrt.f64 (exp.f64 (/.f64 -1651231776/20079361 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1651231776/20079361 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1651231776/20079361 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1651231776/20079361 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1651231776/20079361 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1651231776/20079361 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1651231776/20079361 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1651231776/20079361 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1651231776/20079361 x)) (pow.f64 (cbrt.f64 (/.f64 -1651231776/20079361 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1651231776/20079361 x)) 2) (cbrt.f64 (/.f64 -1651231776/20079361 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1651231776/20079361 x)) (sqrt.f64 (/.f64 -1651231776/20079361 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1651231776/20079361 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) -1651231776/20079361)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1651231776/20079361 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1651231776/20079361 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1651231776/20079361 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1651231776/20079361 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -20079361/1651231776) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1651231776/20079361 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1651231776/20079361 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1651231776/20079361 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1651231776/20079361 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1651231776/20079361 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1651231776/20079361 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1651231776/20079361 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1651231776/20079361 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 70711/100000 (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (-.f64 (/.f64 27061/4481 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 27061/4481 x) 70711/100000) (*.f64 (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) 70711/100000) (*.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 70711/100000 (/.f64 27061/4481 x)) (*.f64 70711/100000 (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 70711/100000 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))) (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 70711/100000) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (-.f64 (/.f64 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#<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1651231776/20079361 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1651231776/20079361 (*.f64 x x))) 1))))))

simplify57.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
022230
150230
292230
3173230
4442230
51420230
66023230
Stop Event
1×node limit
Counts
117 → 106
Calls
Call 1
Inputs
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
Outputs
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(/.f64 (/.f64 -3648757816023/62748003125 x) x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
0.2b
(fma.f64 x 4481/100000 99229/100000)
✓0.6b
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1)
✓16.4b
(/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))
Compiler

Compiled 67 to 52 computations (22.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite87.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
484×log-prod_binary64
393×exp-prod_binary64
310×pow2_binary64
282×prod-exp_binary64
251×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01335
126732
2295632
Stop Event
1×node limit
Counts
2 → 115
Calls
Call 1
Inputs
(/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1)
Outputs
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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 (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (*.f64 (log.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) -1/2) (*.f64 (log.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) -1/2)))))))

simplify75.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
574×fma-def_binary64
476×distribute-rgt-neg-in_binary64
470×times-frac_binary64
332×associate-*r/_binary64
326×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062316
1159300
2394294
31068282
43002282
57137282
Stop Event
1×node limit
Counts
139 → 144
Calls
Call 1
Inputs
10000000000/16316775383
(+.f64 10000000000/16316775383 (*.f64 2019128943700000/3765144869953399 x))
(+.f64 10000000000/16316775383 (+.f64 (*.f64 2019128943700000/3765144869953399 x) (*.f64 -992893270668800000/28026402392785699337 (pow.f64 x 2))))
(+.f64 (*.f64 26868684797568396800000/6467176431342478479110761 (pow.f64 x 3)) (+.f64 10000000000/16316775383 (+.f64 (*.f64 2019128943700000/3765144869953399 x) (*.f64 -992893270668800000/28026402392785699337 (pow.f64 x 2)))))
(*.f64 448100000/1913510371 x)
(+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))
(-.f64 (+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x)) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 229113100886637606400000/1223208950926671751321 (/.f64 1 (pow.f64 x 2))) (+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(*.f64 448100000/1913510371 x)
(+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))
(-.f64 (+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x)) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 229113100886637606400000/1223208950926671751321 (/.f64 1 (pow.f64 x 2))) (+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
Outputs
10000000000/16316775383
(+.f64 10000000000/16316775383 (*.f64 2019128943700000/3765144869953399 x))
(fma.f64 2019128943700000/3765144869953399 x 10000000000/16316775383)
(+.f64 10000000000/16316775383 (+.f64 (*.f64 2019128943700000/3765144869953399 x) (*.f64 -992893270668800000/28026402392785699337 (pow.f64 x 2))))
(+.f64 10000000000/16316775383 (fma.f64 2019128943700000/3765144869953399 x (*.f64 -992893270668800000/28026402392785699337 (*.f64 x x))))
(+.f64 (fma.f64 2019128943700000/3765144869953399 x 10000000000/16316775383) (*.f64 (*.f64 -992893270668800000/28026402392785699337 x) x))
(fma.f64 2019128943700000/3765144869953399 x (fma.f64 x (*.f64 x -992893270668800000/28026402392785699337) 10000000000/16316775383))
(fma.f64 x (fma.f64 x -992893270668800000/28026402392785699337 2019128943700000/3765144869953399) 10000000000/16316775383)
(+.f64 (*.f64 26868684797568396800000/6467176431342478479110761 (pow.f64 x 3)) (+.f64 10000000000/16316775383 (+.f64 (*.f64 2019128943700000/3765144869953399 x) (*.f64 -992893270668800000/28026402392785699337 (pow.f64 x 2)))))
(fma.f64 26868684797568396800000/6467176431342478479110761 (pow.f64 x 3) (+.f64 10000000000/16316775383 (fma.f64 2019128943700000/3765144869953399 x (*.f64 -992893270668800000/28026402392785699337 (*.f64 x x)))))
(+.f64 (fma.f64 2019128943700000/3765144869953399 x (*.f64 (*.f64 -992893270668800000/28026402392785699337 x) x)) (fma.f64 26868684797568396800000/6467176431342478479110761 (pow.f64 x 3) 10000000000/16316775383))
(fma.f64 26868684797568396800000/6467176431342478479110761 (pow.f64 x 3) (fma.f64 2019128943700000/3765144869953399 x (fma.f64 x (*.f64 x -992893270668800000/28026402392785699337) 10000000000/16316775383)))
(fma.f64 x (fma.f64 x -992893270668800000/28026402392785699337 2019128943700000/3765144869953399) (fma.f64 26868684797568396800000/6467176431342478479110761 (pow.f64 x 3) 10000000000/16316775383))
(fma.f64 26868684797568396800000/6467176431342478479110761 (pow.f64 x 3) (fma.f64 x (fma.f64 x -992893270668800000/28026402392785699337 2019128943700000/3765144869953399) 10000000000/16316775383))
(*.f64 448100000/1913510371 x)
(*.f64 x 448100000/1913510371)
(+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))
(+.f64 (*.f64 x 448100000/1913510371) 165123177600000/51781504149631)
(fma.f64 x 448100000/1913510371 165123177600000/51781504149631)
(-.f64 (+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x)) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(+.f64 165123177600000/51781504149631 (-.f64 (*.f64 x 448100000/1913510371) (/.f64 992893270668800000/45201912380424661 x)))
(+.f64 165123177600000/51781504149631 (fma.f64 x 448100000/1913510371 (/.f64 -992893270668800000/45201912380424661 x)))
(-.f64 (+.f64 (*.f64 229113100886637606400000/1223208950926671751321 (/.f64 1 (pow.f64 x 2))) (+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(-.f64 (+.f64 (+.f64 (*.f64 x 448100000/1913510371) 165123177600000/51781504149631) (/.f64 229113100886637606400000/1223208950926671751321 (*.f64 x x))) (/.f64 992893270668800000/45201912380424661 x))
(+.f64 (fma.f64 x 448100000/1913510371 165123177600000/51781504149631) (-.f64 (/.f64 (/.f64 229113100886637606400000/1223208950926671751321 x) x) (/.f64 992893270668800000/45201912380424661 x)))
(+.f64 165123177600000/51781504149631 (-.f64 (fma.f64 x 448100000/1913510371 (/.f64 (/.f64 229113100886637606400000/1223208950926671751321 x) x)) (/.f64 992893270668800000/45201912380424661 x)))
(+.f64 165123177600000/51781504149631 (+.f64 (/.f64 229113100886637606400000/1223208950926671751321 (*.f64 x x)) (fma.f64 x 448100000/1913510371 (/.f64 -992893270668800000/45201912380424661 x))))
(*.f64 448100000/1913510371 x)
(*.f64 x 448100000/1913510371)
(+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))
(+.f64 (*.f64 x 448100000/1913510371) 165123177600000/51781504149631)
(fma.f64 x 448100000/1913510371 165123177600000/51781504149631)
(-.f64 (+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x)) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(+.f64 165123177600000/51781504149631 (-.f64 (*.f64 x 448100000/1913510371) (/.f64 992893270668800000/45201912380424661 x)))
(+.f64 165123177600000/51781504149631 (fma.f64 x 448100000/1913510371 (/.f64 -992893270668800000/45201912380424661 x)))
(-.f64 (+.f64 (*.f64 229113100886637606400000/1223208950926671751321 (/.f64 1 (pow.f64 x 2))) (+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(-.f64 (+.f64 (+.f64 (*.f64 x 448100000/1913510371) 165123177600000/51781504149631) (/.f64 229113100886637606400000/1223208950926671751321 (*.f64 x x))) (/.f64 992893270668800000/45201912380424661 x))
(+.f64 (fma.f64 x 448100000/1913510371 165123177600000/51781504149631) (-.f64 (/.f64 (/.f64 229113100886637606400000/1223208950926671751321 x) x) (/.f64 992893270668800000/45201912380424661 x)))
(+.f64 165123177600000/51781504149631 (-.f64 (fma.f64 x 448100000/1913510371 (/.f64 (/.f64 229113100886637606400000/1223208950926671751321 x) x)) (/.f64 992893270668800000/45201912380424661 x)))
(+.f64 165123177600000/51781504149631 (+.f64 (/.f64 229113100886637606400000/1223208950926671751321 (*.f64 x x)) (fma.f64 x 448100000/1913510371 (/.f64 -992893270668800000/45201912380424661 x))))
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -1427746267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000))
(fma.f64 x -1427746267379707/1000000000000000 (fma.f64 (*.f64 x x) 134362287316698645903/100000000000000000000 16316775383/10000000000))
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 x -1427746267379707/1000000000000000 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 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)))
(+.f64 (fma.f64 x -1427746267379707/1000000000000000 16316775383/10000000000) (fma.f64 (*.f64 x x) 134362287316698645903/100000000000000000000 (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)))
(fma.f64 x -1427746267379707/1000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000 16316775383/10000000000)))
(fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) (fma.f64 x -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 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (-.f64 (/.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 -3648757816023/62748003125 (*.f64 x x)) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (-.f64 (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(/.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 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (-.f64 (/.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 -3648757816023/62748003125 (*.f64 x x)) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (-.f64 (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))

eval505.0ms (6.3%)

Compiler

Compiled 10654 to 8253 computations (22.5% saved)

prune116.0ms (1.4%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New5558563
Fresh347
Picked101
Done145
Total56016576
Error
0.0b
Counts
576 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
▶0.1b
(fma.f64 x -70711/100000 (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))
48.6b
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) (+.f64 1 (*.f64 x -70711/100000))) 1) (+.f64 (+.f64 1 (*.f64 x -70711/100000)) 1))
▶48.9b
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
54.2b
(/.f64 (*.f64 (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3)) 70711/100000) (+.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x (+.f64 x (/.f64 27061/4481 x)))))
▶62.5b
(/.f64 1913510371/448100000 x)
▶32.3b
(+.f64 (*.f64 (/.f64 27061/4481 x) 70711/100000) (*.f64 (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x) 70711/100000))
▶31.5b
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
26.8b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
19.2b
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3))
✓31.4b
(*.f64 x -70711/100000)
✓0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
1.3b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
✓31.5b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
✓32.3b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
53.7b
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
Compiler

Compiled 448 to 353 computations (21.2% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
0.2b
(fma.f64 x 4481/100000 99229/100000)
✓0.6b
(/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))
16.4b
(/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))
Compiler

Compiled 66 to 51 computations (22.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite83.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
488×log-prod_binary64
400×exp-prod_binary64
303×prod-exp_binary64
297×pow2_binary64
256×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01219
125316
2293116
Stop Event
1×node limit
Counts
1 → 68
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 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 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4481/100000 99229/100000) 1)))) 2)) (cbrt.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 pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (sqrt.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 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 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 (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 (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 (*.f64 (log.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 exp.f64 (*.f64 (*.f64 (log.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 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 exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 1) (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (*.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 1) (*.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.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 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 1) (neg.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))) (*.f64 (log.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 1)))))) (#(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))))))) (#(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))))))

simplify61.0ms (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
80 → 82
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)))))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1913510371/448100000 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 1913510371/448100000 x)
0.0ms
x
@inf
(/.f64 1913510371/448100000 x)
0.0ms
x
@-inf
(/.f64 1913510371/448100000 x)

rewrite58.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
400×pow1_binary64
396×add-sqr-sqrt_binary64
382×*-un-lft-identity_binary64
377×add-log-exp_binary64
377×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1874
210254
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 1913510371/448100000 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.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 (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 (+.f64 1 (/.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 *.f64 (pow.f64 1 1/3) (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1913510371/448100000 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1913510371/448100000 x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 1913510371/448100000 x) 2) 1913510371/448100000) 1/3) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 1913510371/448100000 x) 2) (pow.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1913510371/448100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 1913510371/448100000 x) 2) (sqrt.f64 (/.f64 1913510371/448100000 x))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 1913510371/448100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1913510371/448100000) 3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1913510371/448100000 x))) 2) 3) (cbrt.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1913510371/448100000 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1913510371/448100000 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 1913510371/448100000) 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 448100000/1913510371)) 2) -1) (cbrt.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1913510371/448100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1913510371/448100000 x) 2) 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 (pow.f64 (/.f64 1913510371/448100000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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)))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
35 → 35
Calls
Call 1
Inputs
Outputs

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
✓0.2b
(*.f64 -70711/100000 x)
✓0.3b
(*.f64 1913510371/448100000 (/.f64 1 x))
Compiler

Compiled 25 to 19 computations (24% saved)

series2.0ms (0%)

Counts
3 → 15
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.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
@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 1913510371/448100000 (/.f64 1 x))

rewrite75.0ms (0.9%)

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
0918
119416
2241116
Stop Event
1×node limit
Counts
3 → 64
Calls
Call 1
Inputs
(*.f64 1913510371/448100000 (/.f64 1 x))
(*.f64 -70711/100000 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 (*.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 (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 (pow.f64 (*.f64 x -70711/100000) 3) 1/3)))) (#(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 -70711/100000) x))))) (#(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 (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
79 → 66
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)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x) 70711/100000)
✓0.3b
(*.f64 (/.f64 27061/4481 x) 70711/100000)
0.3b
(/.f64 27061/4481 x)
✓0.7b
(/.f64 -1651231776/20079361 (*.f64 x x))
Compiler

Compiled 52 to 31 computations (40.4% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x) 70711/100000)
0.0ms
x
@inf
(*.f64 (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x) 70711/100000)
0.0ms
x
@-inf
(*.f64 (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x) 70711/100000)
0.0ms
x
@0
(/.f64 -1651231776/20079361 (*.f64 x x))
0.0ms
x
@inf
(/.f64 -1651231776/20079361 (*.f64 x x))

rewrite78.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
557×prod-diff_binary64
529×log-prod_binary64
308×pow2_binary64
253×fma-def_binary64
215×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
125224
2327624
Stop Event
1×node limit
Counts
3 → 77
Calls
Call 1
Inputs
(/.f64 -1651231776/20079361 (*.f64 x x))
(*.f64 (/.f64 27061/4481 x) 70711/100000)
(*.f64 (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x) 70711/100000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1651231776/20079361 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1651231776/20079361) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1651231776/20079361) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1651231776/20079361) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1651231776/20079361) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1651231776/20079361 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1651231776/20079361 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2))) (cbrt.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4))) (cbrt.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1651231776/20079361) x) (/.f64 (sqrt.f64 -1651231776/20079361) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1651231776/20079361 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -1651231776/20079361)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1651231776/20079361 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1651231776/20079361) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4502193042845904546911256576/8095611589928196122881 (pow.f64 (pow.f64 x -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -20079361/1651231776) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 x x) -20079361/1651231776) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1651231776/20079361) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -4502193042845904546911256576/8095611589928196122881 (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2))) 1))))))
((#(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 70711/100000 (/.f64 x 27061/4481))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 1913510371/448100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1913510371/448100000 x)))) (#(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 (/.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 1913510371/448100000) -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))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 70711/100000 (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) 70711/100000) (*.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 70711/100000 (*.f64 -1651231776/20079361 (pow.f64 x -2))) (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 70711/100000) (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 70711/100000) (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 70711/100000) (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 70711/100000) (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 70711/100000 (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 -4502193042845904546911256576/8095611589928196122881 (pow.f64 (pow.f64 x -2) 3)) (pow.f64 x 3)) 70711/100000) (fma.f64 x (fma.f64 -1651231776/20079361 (pow.f64 x -2) x) (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4)) (*.f64 x x)) 70711/100000) (fma.f64 -1651231776/20079361 (pow.f64 x -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (*.f64 -4502193042845904546911256576/8095611589928196122881 (pow.f64 (pow.f64 x -2) 3)) (pow.f64 x 3))) (fma.f64 x (fma.f64 -1651231776/20079361 (pow.f64 x -2) x) (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4)) (*.f64 x x))) (fma.f64 -1651231776/20079361 (pow.f64 x -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 70711/100000 (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5000045521/10000000000 (pow.f64 (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 70711/100000 (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 70711/100000 (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 70711/100000 (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 5000045521/10000000000 (pow.f64 (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 70711/100000) (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 70711/100000 (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 70711/100000 (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 70711/100000 (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 70711/100000 (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 70711/100000 (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 70711/100000 (fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) 70711/100000 (*.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 70711/100000 (*.f64 -1651231776/20079361 (pow.f64 x -2)) (*.f64 70711/100000 (neg.f64 x)))))))

simplify55.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
730×times-frac_binary64
589×associate-/l/_binary64
434×unswap-sqr_binary64
413×fma-neg_binary64
381×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017264
133246
260246
3124246
4342246
51217246
65360246
Stop Event
1×node limit
Counts
113 → 85
Calls
Call 1
Inputs
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 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 -3648757816023/62748003125 (pow.f64 x 2))
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 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 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (*.f64 -70711/100000 x) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000)
✓0.3b
(pow.f64 (/.f64 27061/4481 x) 2)
0.3b
(/.f64 27061/4481 x)
✓28.5b
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
Compiler

Compiled 58 to 37 computations (36.2% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite124.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
639×log-prod_binary64
486×fma-def_binary64
349×pow2_binary64
249×fma-neg_binary64
240×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
128348
2405148
Stop Event
1×node limit
Counts
3 → 112
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
(pow.f64 (/.f64 27061/4481 x) 2)
(*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 732297721/20079361 (*.f64 x x)) 70711/100000) (*.f64 (*.f64 x (neg.f64 x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 70711/100000 (/.f64 732297721/20079361 (*.f64 x x))) (*.f64 70711/100000 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))) 70711/100000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))) 70711/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 6) (pow.f64 x 6)) 70711/100000) (fma.f64 (*.f64 x x) (pow.f64 (hypot.f64 x (/.f64 27061/4481 x)) 2) (pow.f64 (/.f64 27061/4481 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 4) (pow.f64 x 4)) 70711/100000) (pow.f64 (hypot.f64 x (/.f64 27061/4481 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (/.f64 27061/4481 x) 6) (pow.f64 x 6))) (fma.f64 (*.f64 x x) (pow.f64 (hypot.f64 x (/.f64 27061/4481 x)) 2) (pow.f64 (/.f64 27061/4481 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (/.f64 27061/4481 x) 4) (pow.f64 x 4))) (pow.f64 (hypot.f64 x (/.f64 27061/4481 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 2) 5000045521/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 732297721/20079361 (*.f64 x x)) 70711/100000 (*.f64 (*.f64 x (neg.f64 x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 70711/100000 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 70711/100000 (*.f64 x (neg.f64 x))))))))

simplify125.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1150×associate-/r/_binary64
467×sqr-pow_binary64
460×associate-*l*_binary64
434×unswap-sqr_binary64
399×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020351
136315
256315
395315
4231315
5744315
63161315
74187315
84361315
94575315
104795315
115115315
126251315
137307315
147984315
Stop Event
1×node limit
Counts
148 → 124
Calls
Call 1
Inputs
(/.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 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 51781504149631/2007936100000 (pow.f64 x 2))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(*.f64 -70711/100000 (pow.f64 x 2))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(*.f64 -70711/100000 (pow.f64 x 2))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
Outputs
(/.f64 1913510371/448100000 x)
(+.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 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 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 -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 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 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 -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 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 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 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 51781504149631/2007936100000 (pow.f64 x 2))
(/.f64 51781504149631/2007936100000 (*.f64 x x))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))

eval418.0ms (5.2%)

Compiler

Compiled 11564 to 8527 computations (26.3% saved)

prune123.0ms (1.5%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New5937600
Fresh437
Picked101
Done448
Total60214616
Error
0.0b
Counts
616 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
▶0.1b
(fma.f64 x -70711/100000 (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000))))
48.9b
(pow.f64 (*.f64 100000/70711 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)))) -1)
▶48.9b
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
✓62.5b
(/.f64 1913510371/448100000 x)
▶32.3b
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x) 70711/100000))
31.5b
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 -70711/100000 x))
▶26.8b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
▶48.9b
(*.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))
48.9b
(*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) (*.f64 70711/100000 (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))
✓31.4b
(*.f64 x -70711/100000)
✓0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
1.3b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
✓32.3b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
Compiler

Compiled 360 to 258 computations (28.3% saved)

localize61.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 x 4481/100000 99229/100000)
✓0.3b
(*.f64 x 1913510371/10000000000)
✓0.6b
(/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000)))
✓16.4b
(/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000))
Compiler

Compiled 73 to 57 computations (21.9% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(*.f64 x 1913510371/10000000000)
1.0ms
x
@-inf
(*.f64 x 1913510371/10000000000)
0.0ms
x
@0
(/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000))
0.0ms
x
@0
(*.f64 x 1913510371/10000000000)
0.0ms
x
@inf
(/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000))

rewrite130.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
578×log-prod_binary64
340×pow2_binary64
318×pow-prod-down_binary64
238×log1p-udef_binary64
237×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01339
128436
2346436
Stop Event
1×node limit
Counts
3 → 117
Calls
Call 1
Inputs
(/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000))
(/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000)))
(*.f64 x 1913510371/10000000000)
Outputs
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1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (/.f64 1 (neg.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) 1) (/.f64 (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 (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1) (/.f64 (sqrt.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 (pow.f64 (cbrt.f64 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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 (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.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 exp.f64 (log.f64 (/.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 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))))))
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simplify73.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
574×fma-def_binary64
477×distribute-rgt-neg-in_binary64
470×times-frac_binary64
329×associate-*r/_binary64
327×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064364
1162348
2397342
31075330
42997330
57130330
Stop Event
1×node limit
Counts
153 → 148
Calls
Call 1
Inputs
10000000000/16316775383
(+.f64 10000000000/16316775383 (*.f64 2019128943700000/3765144869953399 x))
(+.f64 10000000000/16316775383 (+.f64 (*.f64 2019128943700000/3765144869953399 x) (*.f64 -992893270668800000/28026402392785699337 (pow.f64 x 2))))
(+.f64 (*.f64 26868684797568396800000/6467176431342478479110761 (pow.f64 x 3)) (+.f64 10000000000/16316775383 (+.f64 (*.f64 2019128943700000/3765144869953399 x) (*.f64 -992893270668800000/28026402392785699337 (pow.f64 x 2)))))
(*.f64 448100000/1913510371 x)
(+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))
(-.f64 (+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x)) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 229113100886637606400000/1223208950926671751321 (/.f64 1 (pow.f64 x 2))) (+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(*.f64 448100000/1913510371 x)
(+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))
(-.f64 (+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x)) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 229113100886637606400000/1223208950926671751321 (/.f64 1 (pow.f64 x 2))) (+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
Outputs
10000000000/16316775383
(+.f64 10000000000/16316775383 (*.f64 2019128943700000/3765144869953399 x))
(fma.f64 2019128943700000/3765144869953399 x 10000000000/16316775383)
(+.f64 10000000000/16316775383 (+.f64 (*.f64 2019128943700000/3765144869953399 x) (*.f64 -992893270668800000/28026402392785699337 (pow.f64 x 2))))
(+.f64 10000000000/16316775383 (fma.f64 2019128943700000/3765144869953399 x (*.f64 -992893270668800000/28026402392785699337 (*.f64 x x))))
(+.f64 10000000000/16316775383 (fma.f64 -992893270668800000/28026402392785699337 (*.f64 x x) (*.f64 2019128943700000/3765144869953399 x)))
(fma.f64 2019128943700000/3765144869953399 x (fma.f64 x (*.f64 x -992893270668800000/28026402392785699337) 10000000000/16316775383))
(fma.f64 x (fma.f64 x -992893270668800000/28026402392785699337 2019128943700000/3765144869953399) 10000000000/16316775383)
(+.f64 (*.f64 26868684797568396800000/6467176431342478479110761 (pow.f64 x 3)) (+.f64 10000000000/16316775383 (+.f64 (*.f64 2019128943700000/3765144869953399 x) (*.f64 -992893270668800000/28026402392785699337 (pow.f64 x 2)))))
(fma.f64 26868684797568396800000/6467176431342478479110761 (pow.f64 x 3) (+.f64 10000000000/16316775383 (fma.f64 2019128943700000/3765144869953399 x (*.f64 -992893270668800000/28026402392785699337 (*.f64 x x)))))
(+.f64 (fma.f64 -992893270668800000/28026402392785699337 (*.f64 x x) (*.f64 2019128943700000/3765144869953399 x)) (fma.f64 26868684797568396800000/6467176431342478479110761 (pow.f64 x 3) 10000000000/16316775383))
(fma.f64 26868684797568396800000/6467176431342478479110761 (pow.f64 x 3) (fma.f64 2019128943700000/3765144869953399 x (fma.f64 x (*.f64 x -992893270668800000/28026402392785699337) 10000000000/16316775383)))
(fma.f64 x (fma.f64 x -992893270668800000/28026402392785699337 2019128943700000/3765144869953399) (fma.f64 26868684797568396800000/6467176431342478479110761 (pow.f64 x 3) 10000000000/16316775383))
(*.f64 448100000/1913510371 x)
(*.f64 x 448100000/1913510371)
(+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))
(+.f64 (*.f64 x 448100000/1913510371) 165123177600000/51781504149631)
(fma.f64 x 448100000/1913510371 165123177600000/51781504149631)
(-.f64 (+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x)) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(+.f64 165123177600000/51781504149631 (-.f64 (*.f64 x 448100000/1913510371) (/.f64 992893270668800000/45201912380424661 x)))
(+.f64 165123177600000/51781504149631 (fma.f64 x 448100000/1913510371 (/.f64 -992893270668800000/45201912380424661 x)))
(+.f64 (fma.f64 x 448100000/1913510371 165123177600000/51781504149631) (/.f64 -992893270668800000/45201912380424661 x))
(-.f64 (+.f64 (*.f64 229113100886637606400000/1223208950926671751321 (/.f64 1 (pow.f64 x 2))) (+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(+.f64 (/.f64 229113100886637606400000/1223208950926671751321 (*.f64 x x)) (+.f64 165123177600000/51781504149631 (-.f64 (*.f64 x 448100000/1913510371) (/.f64 992893270668800000/45201912380424661 x))))
(+.f64 (fma.f64 x 448100000/1913510371 165123177600000/51781504149631) (-.f64 (/.f64 229113100886637606400000/1223208950926671751321 (*.f64 x x)) (/.f64 992893270668800000/45201912380424661 x)))
(+.f64 165123177600000/51781504149631 (+.f64 (fma.f64 x 448100000/1913510371 (/.f64 -992893270668800000/45201912380424661 x)) (/.f64 229113100886637606400000/1223208950926671751321 (*.f64 x x))))
(+.f64 (fma.f64 x 448100000/1913510371 165123177600000/51781504149631) (+.f64 (/.f64 229113100886637606400000/1223208950926671751321 (*.f64 x x)) (/.f64 -992893270668800000/45201912380424661 x)))
(*.f64 448100000/1913510371 x)
(*.f64 x 448100000/1913510371)
(+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))
(+.f64 (*.f64 x 448100000/1913510371) 165123177600000/51781504149631)
(fma.f64 x 448100000/1913510371 165123177600000/51781504149631)
(-.f64 (+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x)) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(+.f64 165123177600000/51781504149631 (-.f64 (*.f64 x 448100000/1913510371) (/.f64 992893270668800000/45201912380424661 x)))
(+.f64 165123177600000/51781504149631 (fma.f64 x 448100000/1913510371 (/.f64 -992893270668800000/45201912380424661 x)))
(+.f64 (fma.f64 x 448100000/1913510371 165123177600000/51781504149631) (/.f64 -992893270668800000/45201912380424661 x))
(-.f64 (+.f64 (*.f64 229113100886637606400000/1223208950926671751321 (/.f64 1 (pow.f64 x 2))) (+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(+.f64 (/.f64 229113100886637606400000/1223208950926671751321 (*.f64 x x)) (+.f64 165123177600000/51781504149631 (-.f64 (*.f64 x 448100000/1913510371) (/.f64 992893270668800000/45201912380424661 x))))
(+.f64 (fma.f64 x 448100000/1913510371 165123177600000/51781504149631) (-.f64 (/.f64 229113100886637606400000/1223208950926671751321 (*.f64 x x)) (/.f64 992893270668800000/45201912380424661 x)))
(+.f64 165123177600000/51781504149631 (+.f64 (fma.f64 x 448100000/1913510371 (/.f64 -992893270668800000/45201912380424661 x)) (/.f64 229113100886637606400000/1223208950926671751321 (*.f64 x x))))
(+.f64 (fma.f64 x 448100000/1913510371 165123177600000/51781504149631) (+.f64 (/.f64 229113100886637606400000/1223208950926671751321 (*.f64 x x)) (/.f64 -992893270668800000/45201912380424661 x)))
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -1427746267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000))
(fma.f64 x -1427746267379707/1000000000000000 (fma.f64 (*.f64 x 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 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)))
(+.f64 (fma.f64 x -1427746267379707/1000000000000000 16316775383/10000000000) (fma.f64 (*.f64 x x) 134362287316698645903/100000000000000000000 (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)))
(fma.f64 x -1427746267379707/1000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000 16316775383/10000000000)))
(fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) (fma.f64 x -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 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -1913510371/448100000 x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(-.f64 (+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))
(+.f64 (+.f64 (+.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 3648757816023/62748003125 (*.f64 x x)) (-.f64 (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(/.f64 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 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -1913510371/448100000 x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(-.f64 (+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))
(+.f64 (+.f64 (+.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 3648757816023/62748003125 (*.f64 x x)) (-.f64 (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(*.f64 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)

localize7.0ms (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)

series2.0ms (0%)

Counts
2 → 3
Calls

6 calls:

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

rewrite118.0ms (1.5%)

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 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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)))))

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
059
169
Stop Event
1×saturated
Counts
46 → 45
Calls
Call 1
Inputs
16316775383/10000000000
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
Outputs
16316775383/10000000000
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x)
0.1b
(*.f64 (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x) 70711/100000)
0.2b
(/.f64 1913510371/448100000 x)
0.7b
(/.f64 -1651231776/20079361 (*.f64 x x))
Compiler

Compiled 45 to 25 computations (44.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x)
0.0ms
x
@inf
(-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x)
0.0ms
x
@-inf
(-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x)

rewrite259.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
765×pow1_binary64
723×add-log-exp_binary64
723×log1p-expm1-u_binary64
723×expm1-log1p-u_binary64
708×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
114110
2200210
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 -1651231776/20079361 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x)) 2) (cbrt.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x)) (sqrt.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 -4502193042845904546911256576/8095611589928196122881 (pow.f64 (pow.f64 x -2) 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4)) (*.f64 x (fma.f64 -1651231776/20079361 (pow.f64 x -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4)) (*.f64 x x)) (/.f64 1 (fma.f64 -1651231776/20079361 (pow.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (sqrt.f64 -1651231776/20079361) x) (sqrt.f64 x)) (-.f64 (/.f64 (sqrt.f64 -1651231776/20079361) x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4)) (*.f64 x (fma.f64 -1651231776/20079361 (pow.f64 x -2) x))) (-.f64 (*.f64 -4502193042845904546911256576/8095611589928196122881 (pow.f64 (pow.f64 x -2) 3)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -1651231776/20079361 (pow.f64 x -2) x) (-.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -4502193042845904546911256576/8095611589928196122881 (pow.f64 (pow.f64 x -2) 3)) (pow.f64 x 3)) (+.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4)) (*.f64 x (fma.f64 -1651231776/20079361 (pow.f64 x -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4)) (*.f64 x x)) (fma.f64 -1651231776/20079361 (pow.f64 x -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 -4502193042845904546911256576/8095611589928196122881 (pow.f64 (pow.f64 x -2) 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4)) (*.f64 x (fma.f64 -1651231776/20079361 (pow.f64 x -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4)) (*.f64 x x))) (neg.f64 (fma.f64 -1651231776/20079361 (pow.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -4502193042845904546911256576/8095611589928196122881 (pow.f64 (pow.f64 x -2) 3)) (pow.f64 (neg.f64 x) 3)) (+.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1651231776/20079361 (pow.f64 x -2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1651231776/20079361 (pow.f64 x -2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4))) (cbrt.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -1651231776/20079361) x) (/.f64 (sqrt.f64 -1651231776/20079361) x) (neg.f64 x))))))

simplify50.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
675×div-sub_binary64
638×fma-def_binary64
619×fma-neg_binary64
500×associate-/l/_binary64
435×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013121
130112
257103
3131103
4369103
51287103
65594103
Stop Event
1×node limit
Counts
48 → 42
Calls
Call 1
Inputs
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (neg.f64 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(fma.f64 x -1 (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) x)
(-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x)
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (neg.f64 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(fma.f64 x -1 (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) x)
(-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x)
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (neg.f64 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(fma.f64 x -1 (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) x)
(-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (neg.f64 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(fma.f64 x -1 (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) x)
(-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x)
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (neg.f64 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(fma.f64 x -1 (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) x)
(-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x)
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (neg.f64 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(fma.f64 x -1 (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) x)
(-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (neg.f64 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(fma.f64 x -1 (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) x)
(-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x)
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (neg.f64 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(fma.f64 x -1 (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) x)
(-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x)
(-.f64 (*.f64 -1 x) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (neg.f64 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(fma.f64 x -1 (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) x)
(-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)
0.3b
(/.f64 27061/4481 x)
✓0.7b
(/.f64 732297721/20079361 (*.f64 x x))
✓28.5b
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
Compiler

Compiled 58 to 29 computations (50% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)
1.0ms
x
@0
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
1.0ms
x
@inf
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
0.0ms
x
@-inf
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
0.0ms
x
@0
(/.f64 732297721/20079361 (*.f64 x x))

rewrite85.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
652×log-prod_binary64
495×fma-def_binary64
278×fma-neg_binary64
261×log-div_binary64
243×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
128748
2423248
Stop Event
1×node limit
Counts
3 → 109
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
(/.f64 732297721/20079361 (*.f64 x x))
(*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) 70711/100000) (*.f64 (*.f64 x (neg.f64 x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 70711/100000 (*.f64 732297721/20079361 (pow.f64 x -2))) (*.f64 70711/100000 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x))) 70711/100000)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x))) 70711/100000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x))) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x))) 70711/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x))) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 392701940846296607456136361/8095611589928196122881 (pow.f64 x 6)) (pow.f64 x 6)) 70711/100000) (fma.f64 (*.f64 x x) (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x x)) (/.f64 536259952181793841/403180738168321 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 536259952181793841/403180738168321 (pow.f64 x 4)) (pow.f64 x 4)) 70711/100000) (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (/.f64 392701940846296607456136361/8095611589928196122881 (pow.f64 x 6)) (pow.f64 x 6))) (fma.f64 (*.f64 x x) (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x x)) (/.f64 536259952181793841/403180738168321 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (/.f64 536259952181793841/403180738168321 (pow.f64 x 4)) (pow.f64 x 4))) (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x))) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) 70711/100000 (*.f64 (*.f64 x (neg.f64 x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 70711/100000 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 70711/100000 (*.f64 x (neg.f64 x))))))))

simplify164.0ms (2%)

Algorithm
1×egg-herbie
Rules
1150×associate-/r/_binary64
467×sqr-pow_binary64
460×associate-*l*_binary64
434×unswap-sqr_binary64
399×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020351
136315
256315
395315
4231315
5744315
63161315
74187315
84361315
94575315
104795315
115115315
126251315
137307315
147984315
Stop Event
1×node limit
Counts
145 → 122
Calls
Call 1
Inputs
(/.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 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 51781504149631/2007936100000 (pow.f64 x 2))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(*.f64 -70711/100000 (pow.f64 x 2))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(*.f64 -70711/100000 (pow.f64 x 2))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
Outputs
(/.f64 1913510371/448100000 x)
(+.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 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 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 -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 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 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 -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 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 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 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 51781504149631/2007936100000 (pow.f64 x 2))
(/.f64 51781504149631/2007936100000 (*.f64 x x))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (+.f64 x (/.f64 27061/4481 x)))
0.3b
(/.f64 27061/4481 x)
0.7b
(/.f64 732297721/20079361 (*.f64 x x))
✓28.6b
(*.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))
Compiler

Compiled 68 to 37 computations (45.6% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 1 (+.f64 x (/.f64 27061/4481 x)))
1.0ms
x
@inf
(/.f64 1 (+.f64 x (/.f64 27061/4481 x)))
0.0ms
x
@-inf
(/.f64 1 (+.f64 x (/.f64 27061/4481 x)))
0.0ms
x
@0
(*.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))
0.0ms
x
@inf
(*.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))

rewrite79.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
694×log-prod_binary64
506×fma-def_binary64
278×fma-neg_binary64
261×expm1-udef_binary64
261×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
132135
2446735
Stop Event
1×node limit
Counts
2 → 59
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))
(/.f64 1 (+.f64 x (/.f64 27061/4481 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 70711/100000 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000) 2)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) (cbrt.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) (sqrt.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000)) (neg.f64 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000) (sqrt.f64 (+.f64 x (/.f64 27061/4481 x)))) (sqrt.f64 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000) 1) (+.f64 x (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 27061/4481 x))) 2)) (cbrt.f64 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000)) (neg.f64 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000) -1) (neg.f64 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000) 3) (pow.f64 (+.f64 x (/.f64 27061/4481 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) 3) (pow.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) 70711/100000) 3) (pow.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x)) (/.f64 (+.f64 x (/.f64 27061/4481 x)) 70711/100000))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 27061/4481 x)))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 27061/4481 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 27061/4481 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (/.f64 27061/4481 x)) -1/2) (pow.f64 (+.f64 x (/.f64 27061/4481 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 27061/4481 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 27061/4481 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x (/.f64 27061/4481 x))) -1) (pow.f64 (sqrt.f64 (+.f64 x (/.f64 27061/4481 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (/.f64 19816708627981/89975616641 (pow.f64 x 3)))) (fma.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 27061/4481 x) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 732297721/20079361 (pow.f64 x -2)))) (-.f64 x (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 27061/4481 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (/.f64 27061/4481 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 27061/4481 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 27061/4481 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 27061/4481 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (/.f64 27061/4481 x)))) 1))))))

simplify72.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
675×associate-/l*_binary64
539×distribute-neg-frac_binary64
531×fma-def_binary64
460×div-sub_binary64
324×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044300
1116282
2271282
3665282
41558282
54464282
67446282
Stop Event
1×node limit
Counts
83 → 79
Calls
Call 1
Inputs
(/.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 4481/27061 x)
(+.f64 (*.f64 4481/27061 x) (*.f64 -20079361/732297721 (pow.f64 x 3)))
(+.f64 (*.f64 4481/27061 x) (+.f64 (*.f64 89975616641/19816708627981 (pow.f64 x 5)) (*.f64 -20079361/732297721 (pow.f64 x 3))))
(+.f64 (*.f64 4481/27061 x) (+.f64 (*.f64 89975616641/19816708627981 (pow.f64 x 5)) (+.f64 (*.f64 -403180738168321/536259952181793841 (pow.f64 x 7)) (*.f64 -20079361/732297721 (pow.f64 x 3)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)) (+.f64 (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 7))) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)) (+.f64 (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 7))) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3)))))
Outputs
(/.f64 1913510371/448100000 x)
(+.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 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 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 -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 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 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 -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 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 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 4481/27061 x)
(*.f64 x 4481/27061)
(+.f64 (*.f64 4481/27061 x) (*.f64 -20079361/732297721 (pow.f64 x 3)))
(fma.f64 4481/27061 x (*.f64 -20079361/732297721 (pow.f64 x 3)))
(fma.f64 x 4481/27061 (*.f64 -20079361/732297721 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -20079361/732297721) 4481/27061))
(+.f64 (*.f64 4481/27061 x) (+.f64 (*.f64 89975616641/19816708627981 (pow.f64 x 5)) (*.f64 -20079361/732297721 (pow.f64 x 3))))
(fma.f64 4481/27061 x (fma.f64 89975616641/19816708627981 (pow.f64 x 5) (*.f64 -20079361/732297721 (pow.f64 x 3))))
(fma.f64 x 4481/27061 (fma.f64 -20079361/732297721 (pow.f64 x 3) (*.f64 89975616641/19816708627981 (pow.f64 x 5))))
(fma.f64 -20079361/732297721 (pow.f64 x 3) (fma.f64 x 4481/27061 (*.f64 89975616641/19816708627981 (pow.f64 x 5))))
(+.f64 (*.f64 4481/27061 x) (+.f64 (*.f64 89975616641/19816708627981 (pow.f64 x 5)) (+.f64 (*.f64 -403180738168321/536259952181793841 (pow.f64 x 7)) (*.f64 -20079361/732297721 (pow.f64 x 3)))))
(fma.f64 4481/27061 x (fma.f64 89975616641/19816708627981 (pow.f64 x 5) (fma.f64 -403180738168321/536259952181793841 (pow.f64 x 7) (*.f64 -20079361/732297721 (pow.f64 x 3)))))
(fma.f64 x 4481/27061 (fma.f64 89975616641/19816708627981 (pow.f64 x 5) (fma.f64 -20079361/732297721 (pow.f64 x 3) (*.f64 -403180738168321/536259952181793841 (pow.f64 x 7)))))
(fma.f64 x 4481/27061 (fma.f64 -20079361/732297721 (pow.f64 x 3) (fma.f64 -403180738168321/536259952181793841 (pow.f64 x 7) (*.f64 89975616641/19816708627981 (pow.f64 x 5)))))
(fma.f64 x 4481/27061 (fma.f64 -20079361/732297721 (pow.f64 x 3) (fma.f64 89975616641/19816708627981 (pow.f64 x 5) (*.f64 -403180738168321/536259952181793841 (pow.f64 x 7)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 x) (/.f64 27061/4481 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -27061/4481 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 732297721/20079361 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (/.f64 27061/4481 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 732297721/20079361 (pow.f64 x 5)) (/.f64 -27061/4481 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)) (+.f64 (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 7))) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 732297721/20079361 (pow.f64 x 5))) (+.f64 (/.f64 27061/4481 (pow.f64 x 3)) (/.f64 19816708627981/89975616641 (pow.f64 x 7))))
(+.f64 (/.f64 732297721/20079361 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -27061/4481 (pow.f64 x 3))) (/.f64 19816708627981/89975616641 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 732297721/20079361 (pow.f64 x 5)) (/.f64 -27061/4481 (pow.f64 x 3))) (/.f64 -19816708627981/89975616641 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 732297721/20079361 (pow.f64 x 5)) (+.f64 (/.f64 27061/4481 (pow.f64 x 3)) (/.f64 19816708627981/89975616641 (pow.f64 x 7)))))
(+.f64 (/.f64 -27061/4481 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 7)) (/.f64 -732297721/20079361 (pow.f64 x 5)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 x) (/.f64 27061/4481 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -27061/4481 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 732297721/20079361 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (/.f64 27061/4481 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 732297721/20079361 (pow.f64 x 5)) (/.f64 -27061/4481 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 5))) (/.f64 1 x)) (+.f64 (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 7))) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 732297721/20079361 (pow.f64 x 5))) (+.f64 (/.f64 27061/4481 (pow.f64 x 3)) (/.f64 19816708627981/89975616641 (pow.f64 x 7))))
(+.f64 (/.f64 732297721/20079361 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -27061/4481 (pow.f64 x 3))) (/.f64 19816708627981/89975616641 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 732297721/20079361 (pow.f64 x 5)) (/.f64 -27061/4481 (pow.f64 x 3))) (/.f64 -19816708627981/89975616641 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 732297721/20079361 (pow.f64 x 5)) (+.f64 (/.f64 27061/4481 (pow.f64 x 3)) (/.f64 19816708627981/89975616641 (pow.f64 x 7)))))
(+.f64 (/.f64 -27061/4481 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 7)) (/.f64 -732297721/20079361 (pow.f64 x 5)))))

eval383.0ms (4.8%)

Compiler

Compiled 13224 to 9657 computations (27% saved)

prune142.0ms (1.8%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New6426648
Fresh235
Picked101
Done268
Total64715662
Error
0.0b
Counts
662 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
0.1b
(fma.f64 x -70711/100000 (/.f64 1 (/.f64 (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1) (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000))))
✓48.9b
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
48.9b
(/.f64 70711/100000 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x))))
✓32.3b
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x) 70711/100000))
46.3b
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 (+.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) 70711/100000))
31.5b
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
✓26.8b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
49.4b
(*.f64 (/.f64 1 x) (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))
48.9b
(*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) (*.f64 70711/100000 (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))
✓31.4b
(*.f64 x -70711/100000)
✓0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
1.3b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
✓32.3b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
31.5b
16316775383/10000000000
Compiler

Compiled 216 to 157 computations (27.3% saved)

regimes59.0ms (0.7%)

Counts
35 → 1
Calls
Call 1
Inputs
16316775383/10000000000
(*.f64 x -70711/100000)
(/.f64 1913510371/448100000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x) 70711/100000))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
(*.f64 (/.f64 1 x) (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))
(+.f64 (*.f64 (/.f64 27061/4481 x) 70711/100000) (*.f64 (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x) 70711/100000))
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) (*.f64 70711/100000 (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))
(*.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) (+.f64 1 (*.f64 x -70711/100000))) 1) (+.f64 (+.f64 1 (*.f64 x -70711/100000)) 1))
(/.f64 70711/100000 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
(pow.f64 (*.f64 100000/70711 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)))) -1)
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
(fma.f64 x -70711/100000 (/.f64 1 (/.f64 (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1) (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000))))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
(fma.f64 x -70711/100000 (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000))))
(/.f64 (*.f64 (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3)) 70711/100000) (+.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x (+.f64 x (/.f64 27061/4481 x)))))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(fma.f64 x -70711/100000 (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 (+.f64 (-.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) 70711/100000))
(fma.f64 x -70711/100000 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1))
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)
(/.f64 (-.f64 (pow.f64 (*.f64 x -70711/100000) 2) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3))
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:

17.0ms
x
12.0ms
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
12.0ms
(*.f64 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 585 to 425 computations (27.4% saved)

regimes14.0ms (0.2%)

Counts
14 → 1
Calls
Call 1
Inputs
16316775383/10000000000
(*.f64 x -70711/100000)
(/.f64 1913510371/448100000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x) 70711/100000))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
(*.f64 (/.f64 1 x) (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))
(+.f64 (*.f64 (/.f64 27061/4481 x) 70711/100000) (*.f64 (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x) 70711/100000))
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
1.3b1x
Compiler

Compiled 133 to 90 computations (32.3% saved)

regimes24.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
16316775383/10000000000
(*.f64 x -70711/100000)
(/.f64 1913510371/448100000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) x) 70711/100000))
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:

21.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 71 to 51 computations (28.2% saved)

bsearch47.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.0907272041048066
518924.53758853785
24.0ms
-523.2428611244053
-0.6424099020955067
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes52.0ms (0.6%)

Counts
8 → 3
Calls
Call 1
Inputs
16316775383/10000000000
(*.f64 x -70711/100000)
(/.f64 1913510371/448100000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
Outputs
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 -70711/100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
Calls

1 calls:

50.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 45 to 33 computations (26.7% saved)

bsearch79.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.0907272041048066
518924.53758853785
57.0ms
-523.2428611244053
-0.6424099020955067
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes16.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
16316775383/10000000000
(*.f64 x -70711/100000)
(/.f64 1913510371/448100000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
Calls

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch196.0ms (2.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
146.0ms
0.0907272041048066
518924.53758853785
49.0ms
-523.2428611244053
-0.6424099020955067
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes13.0ms (0.2%)

Counts
4 → 3
Calls
Call 1
Inputs
16316775383/10000000000
(*.f64 x -70711/100000)
(/.f64 1913510371/448100000 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:

12.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch82.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
58.0ms
0.0907272041048066
518924.53758853785
24.0ms
-523.2428611244053
-0.6424099020955067
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes13.0ms (0.2%)

Accuracy

Total -61.8b remaining (-5011.9%)

Threshold costs -61.8b (-5011.9%)

Counts
3 → 3
Calls
Call 1
Inputs
16316775383/10000000000
(*.f64 x -70711/100000)
(/.f64 1913510371/448100000 x)
Outputs
(*.f64 x -70711/100000)
16316775383/10000000000
(*.f64 x -70711/100000)
Calls

1 calls:

11.0ms
x
Results
ErrorSegmentsBranch
1.2b3x
Compiler

Compiled 10 to 7 computations (30% saved)

bsearch115.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
83.0ms
0.0907272041048066
518924.53758853785
31.0ms
-523.2428611244053
-0.6424099020955067
Compiler

Compiled 24 to 19 computations (20.8% saved)

simplify24.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
056234
180234
287234
389234
490234
Stop Event
1×fuel
1×saturated
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))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
(if (<=.f64 x -4602492879656531/8796093022208) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) (if (<=.f64 x 6537584041580383/72057594037927936) (+.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 -4602492879656531/8796093022208) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 -70711/100000 x)) (if (<=.f64 x 6537584041580383/72057594037927936) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))))
(if (<=.f64 x -4602492879656531/8796093022208) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 6537584041580383/72057594037927936) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))))
(if (<=.f64 x -4602492879656531/8796093022208) (*.f64 x -70711/100000) (if (<=.f64 x 6537584041580383/72057594037927936) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -4602492879656531/8796093022208) (*.f64 x -70711/100000) (if (<=.f64 x 6537584041580383/72057594037927936) 16316775383/10000000000 (*.f64 x -70711/100000)))
16316775383/10000000000
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 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
(if (<=.f64 x -4602492879656531/8796093022208) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) (if (<=.f64 x 6537584041580383/72057594037927936) (+.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 -4602492879656531/8796093022208) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)) (if (<=.f64 x 6537584041580383/72057594037927936) (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x))))
(if (<=.f64 x -4602492879656531/8796093022208) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 -70711/100000 x)) (if (<=.f64 x 6537584041580383/72057594037927936) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))))
(if (<=.f64 x -4602492879656531/8796093022208) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000)) (if (<=.f64 x 6537584041580383/72057594037927936) (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))))
(if (<=.f64 x -4602492879656531/8796093022208) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 6537584041580383/72057594037927936) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))))
(if (<=.f64 x -4602492879656531/8796093022208) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 6537584041580383/72057594037927936) (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))))
(if (<=.f64 x -4602492879656531/8796093022208) (*.f64 x -70711/100000) (if (<=.f64 x 6537584041580383/72057594037927936) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -4602492879656531/8796093022208) (*.f64 x -70711/100000) (if (<=.f64 x 6537584041580383/72057594037927936) (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -4602492879656531/8796093022208) (*.f64 x -70711/100000) (if (<=.f64 x 6537584041580383/72057594037927936) 16316775383/10000000000 (*.f64 x -70711/100000)))
16316775383/10000000000
Compiler

Compiled 170 to 129 computations (24.1% saved)

soundness0.0ms (0%)

end246.0ms (3.1%)

Compiler

Compiled 163 to 122 computations (25.2% saved)

Profiling

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