Details

Time bar (total: 2.9s)

analyze7.0ms (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 19 to 15 computations (21.1% saved)

sample1.1s (37.3%)

Results
1.1s8256×body256valid
Bogosity

preprocess105.0ms (3.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01525
12519
24519
38819
413619
521319
637919
763019
8160219
9304119
10603519
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
Outputs
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))))
(-.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(-.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x -4481/100000 -99229/100000) -1)))
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify70.0ms (2.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01525
12519
24519
38819
413619
521319
637919
763019
8160219
9304119
10603519
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
Outputs
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))))
(-.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(-.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x -4481/100000 -99229/100000) -1)))

eval1.0ms (0%)

Compiler

Compiled 32 to 24 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize29.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)
✓0.4b
(*.f64 x 4481/100000)
✓0.4b
(*.f64 x 27061/100000)
✓16.2b
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))
Compiler

Compiled 71 to 55 computations (22.5% saved)

series9.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@0
(*.f64 x 4481/100000)
1.0ms
x
@inf
(*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)
1.0ms
x
@inf
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))
1.0ms
x
@0
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))
1.0ms
x
@-inf
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))

rewrite97.0ms (3.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01440
131232
2407932
Stop Event
1×node limit
Counts
4 → 106
Calls
Call 1
Inputs
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))
(*.f64 x 27061/100000)
(*.f64 x 4481/100000)
(*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 27061/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 27061/100000)) (cbrt.f64 (pow.f64 (exp.f64 x) 27061/100000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 27061/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 27061/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 27061/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 27061/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 27061/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 27061/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 27061/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 19816708627981/1000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 732297721/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 27061/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 27061/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 19816708627981/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x 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 0 (*.f64 x 4481/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 4481/100000) x)) (cbrt.f64 (pow.f64 (exp.f64 4481/100000) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4481/100000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4481/100000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4481/100000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 4481/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4481/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 4481/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 4481/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 89975616641/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 4481/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4481/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 89975616641/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 0 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 99229/100000 x) (*.f64 (*.f64 x 4481/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 4481/100000) x) (*.f64 99229/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 99229/100000) (*.f64 x (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))))) (#(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 (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 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1))))) (#(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 99229/100000 x (*.f64 (*.f64 x 4481/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 4481/100000) x (*.f64 99229/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3)) (/.f64 1 (fma.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2)) (/.f64 1 (-.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))) -1)))))

simplify65.0ms (2.2%)

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
154 → 130
Calls
Call 1
Inputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.f64 (*.f64 -20191289437/10000000000 x) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 99229/100000 x)
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
Outputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x 230753/100000))
(fma.f64 -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))

eval71.0ms (2.5%)

Compiler

Compiled 2683 to 2087 computations (22.2% saved)

prune21.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1255130
Fresh000
Picked011
Done000
Total1256131
Error
0b
Counts
131 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
▶29.2b
(-.f64 x (/.f64 27061/4481 x))
▶1.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
▶28.4b
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
▶1.3b
(-.f64 x 230753/100000)
▶29.8b
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
Compiler

Compiled 106 to 78 computations (26.4% saved)

localize19.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiled 46 to 36 computations (21.7% saved)

series9.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))
1.0ms
x
@-inf
(*.f64 x 99229/100000)
1.0ms
x
@inf
(*.f64 x 99229/100000)
1.0ms
x
@inf
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))
1.0ms
x
@0
(*.f64 x 99229/100000)

rewrite101.0ms (3.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
124121
2310721
Stop Event
1×node limit
Counts
3 → 109
Calls
Call 1
Inputs
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))
(*.f64 x 99229/100000)
(+.f64 230753/100000 (*.f64 x 27061/100000))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 99229/100000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 99229/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x 99229/100000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9846394441/10000000000 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 99229/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 99229/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 977047873985989/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9846394441/10000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 977047873985989/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 x 99229/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 99229/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 99229/100000 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 99229/100000 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)) (cbrt.f64 (fma.f64 x 99229/100000 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 99229/100000 1)) (sqrt.f64 (fma.f64 x 99229/100000 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x))) (/.f64 1 (+.f64 1 (*.f64 -99229/100000 x))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 27061/100000 230753/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 53246947009/10000000000 (+.f64 230753/100000 (*.f64 -27061/100000 x))) (/.f64 (*.f64 (*.f64 x x) 732297721/10000000000) (+.f64 230753/100000 (*.f64 -27061/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 27061/100000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000) (/.f64 1 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000)) (/.f64 1 (+.f64 230753/100000 (*.f64 -27061/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000) (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 230753/100000 (*.f64 -27061/100000 x)) (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000) (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000) (fma.f64 (*.f64 x x) 732297721/10000000000 (-.f64 53246947009/10000000000 (*.f64 6244406933/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000)) (+.f64 230753/100000 (*.f64 -27061/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000)) (neg.f64 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000))) (neg.f64 (+.f64 230753/100000 (*.f64 -27061/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x x) 732297721/10000000000 -53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 27061/100000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000) (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 230753/100000 (*.f64 -27061/100000 x)) (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 27061/100000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 27061/100000 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 27061/100000 x 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 27061/100000) 1 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 27061/100000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 27061/100000)) (cbrt.f64 (*.f64 (*.f64 x x) 732297721/10000000000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 732297721/10000000000)) (cbrt.f64 (*.f64 x 27061/100000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 27061/100000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 27061/100000)) (sqrt.f64 (*.f64 x 27061/100000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 27061/100000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 27061/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 27061/100000 (sqrt.f64 x)) (sqrt.f64 x) 230753/100000)))))

simplify72.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
626×fma-def_binary64
541×associate-*l*_binary64
536×unswap-sqr_binary64
451×associate-/r/_binary64
340×associate-*r*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
040261
1100241
2221238
3542231
41457228
54832224
Stop Event
1×node limit
Counts
145 → 128
Calls
Call 1
Inputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (+.f64 (*.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (+.f64 (*.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3)) (*.f64 -20191289437/10000000000 x))))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
230753/100000
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(*.f64 27061/100000 x)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(*.f64 27061/100000 x)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
Outputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (+.f64 (*.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (fma.f64 2003561459544073/1000000000000000 (*.f64 x x) (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (fma.f64 -20191289437/10000000000 x (*.f64 x (*.f64 x 2003561459544073/1000000000000000))))
(fma.f64 -20191289437/10000000000 x (fma.f64 x (*.f64 x 2003561459544073/1000000000000000) 230753/100000))
(fma.f64 x (fma.f64 x 2003561459544073/1000000000000000 -20191289437/10000000000) 230753/100000)
(+.f64 230753/100000 (+.f64 (*.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3)) (*.f64 -20191289437/10000000000 x))))
(+.f64 230753/100000 (fma.f64 2003561459544073/1000000000000000 (*.f64 x x) (fma.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3) (*.f64 -20191289437/10000000000 x))))
(+.f64 230753/100000 (fma.f64 2003561459544073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x (*.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3)))))
(+.f64 230753/100000 (fma.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3) (*.f64 x (+.f64 -20191289437/10000000000 (*.f64 x 2003561459544073/1000000000000000)))))
(fma.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3) (fma.f64 x (fma.f64 x 2003561459544073/1000000000000000 -20191289437/10000000000) 230753/100000))
(fma.f64 x (fma.f64 x (fma.f64 x -198811400069098819717/100000000000000000000 2003561459544073/1000000000000000) -20191289437/10000000000) 230753/100000)
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 27061/99229 (-.f64 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (+.f64 27061/99229 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 201912894370000000000/96951483487755702481 x) 2019128943700000/977047873985989))))
(+.f64 (/.f64 20191289437/9846394441 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 x) -2019128943700000/977047873985989) 27061/99229))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
(-.f64 (+.f64 27061/99229 (+.f64 (*.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (*.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 27061/99229 (-.f64 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (+.f64 27061/99229 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 201912894370000000000/96951483487755702481 x) 2019128943700000/977047873985989))))
(+.f64 (/.f64 20191289437/9846394441 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 x) -2019128943700000/977047873985989) 27061/99229))
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
230753/100000
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 6 to 4 computations (33.3% saved)

series2.0ms (0.1%)

Counts
1 → 3
Calls

3 calls:

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

rewrite62.0ms (2.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1934
211664
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(-.f64 x 230753/100000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -230753/100000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -230753/100000)) (pow.f64 (cbrt.f64 (+.f64 x -230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -230753/100000)) 2) (cbrt.f64 (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -230753/100000)) (sqrt.f64 (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) -12286892763167777/1000000000000000) (/.f64 1 (fma.f64 x x (+.f64 53246947009/10000000000 (*.f64 x 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -53246947009/10000000000) (/.f64 1 (+.f64 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 53246947009/10000000000 (*.f64 x 230753/100000))) (+.f64 (pow.f64 x 3) -12286892763167777/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 230753/100000) (fma.f64 x x -53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -12286892763167777/1000000000000000) (fma.f64 x x (+.f64 53246947009/10000000000 (*.f64 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -12286892763167777/1000000000000000) (+.f64 (*.f64 x x) (-.f64 53246947009/10000000000 (*.f64 x -230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -53246947009/10000000000) (+.f64 x 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -53246947009/10000000000) (-.f64 x -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) -12286892763167777/1000000000000000)) (neg.f64 (fma.f64 x x (+.f64 53246947009/10000000000 (*.f64 x 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -53246947009/10000000000)) (neg.f64 (+.f64 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -230753/100000)))))

simplify12.0ms (0.4%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

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

rewrite53.0ms (1.8%)

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 27061/4481 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 27061/4481 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 27061/4481 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 27061/4481 x)))))))) (#(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 *.f64 (pow.f64 1 1/3) (/.f64 27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 27061/4481 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 27061/4481 x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 27061/4481 x) 2) 27061/4481) 1/3) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 27061/4481 x) 2) (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 27061/4481 x) 2) (sqrt.f64 (/.f64 27061/4481 x))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 27061/4481) 3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 27061/4481 x))) 2) 3) (cbrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 27061/4481 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 27061/4481 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 27061/4481) 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 4481/27061)) 2) -1) (cbrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 27061/4481 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 27061/4481 x) 3) 1/3)))) (#(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 x 4481/27061) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 4481/27061) 1) -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 (pow.f64 (/.f64 27061/4481 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)))))))

simplify7.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0.1%)

Counts
3 → 15
Calls

9 calls:

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

rewrite84.0ms (2.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
116517
2228717
Stop Event
1×node limit
Counts
3 → 86
Calls
Call 1
Inputs
(*.f64 -20191289437/10000000000 x)
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -20191289437/10000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -20191289437/10000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -20191289437/10000000000 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (fma.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 1 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2) (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (neg.f64 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 20191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 (neg.f64 x) -20191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 -1 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 2)) (cbrt.f64 (*.f64 -20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 (neg.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x))) (sqrt.f64 (*.f64 -20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 2) (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) (sqrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2)) (/.f64 1 (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3)) (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2)) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))) (neg.f64 (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -230753/100000) 3) (pow.f64 (*.f64 -20191289437/10000000000 x) 3)) (+.f64 (*.f64 (+.f64 x -230753/100000) (+.f64 x -230753/100000)) (+.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 (+.f64 x -230753/100000) (*.f64 -20191289437/10000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) (*.f64 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x -230753/100000) (+.f64 x -230753/100000)) (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) (+.f64 (+.f64 x -230753/100000) (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))) (-.f64 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -20191289437/10000000000 x 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 53246947009/10000000000 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))) (/.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -20191289437/10000000000 x 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2) (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3)) (/.f64 1 (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 -4659200611456061/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) (/.f64 1 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 -4659200611456061/1000000000000000 x))) (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x)) (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3)) (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 -4659200611456061/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3)) (+.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (-.f64 53246947009/10000000000 (*.f64 -4659200611456061/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) (+.f64 230753/100000 (*.f64 20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3))) (neg.f64 (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 -4659200611456061/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2))) (neg.f64 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -20191289437/10000000000 x 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -20191289437/10000000000 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -20191289437/10000000000 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 2) (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x)) (sqrt.f64 (*.f64 -20191289437/10000000000 x)) 230753/100000)))))

simplify10.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 35 to 23 computations (34.3% saved)

series5.0ms (0.2%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 -1651231776/20079361 x)
1.0ms
x
@0
(/.f64 -1651231776/20079361 x)
1.0ms
x
@0
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
0.0ms
x
@0
(/.f64 (/.f64 -1651231776/20079361 x) x)
0.0ms
x
@-inf
(/.f64 -1651231776/20079361 x)

rewrite81.0ms (2.8%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
0824
119324
2293322
Stop Event
1×node limit
Counts
3 → 188
Calls
Call 1
Inputs
(/.f64 -1651231776/20079361 x)
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 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 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1651231776/20079361 x))) 2)) (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 (/.f64 1 x))))) (#(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 (/.f64 1 x) -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 (*.f64 2726566378072114176/403180738168321 (pow.f64 x -2)) 1/2)))) (#(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 -1651231776/20079361) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 -1651231776/20079361 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x -1651231776/20079361) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1651231776/20079361 x))) 2)) (cbrt.f64 (log.f64 (/.f64 -1651231776/20079361 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1651231776/20079361 x)))) (sqrt.f64 (log.f64 (/.f64 -1651231776/20079361 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2726566378072114176/403180738168321 (pow.f64 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 exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 -1651231776/20079361 x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1651231776/20079361 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1651231776/20079361 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x -1651231776/20079361)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1651231776/20079361 x)) 1) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1651231776/20079361 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1651231776/20079361 (*.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1651231776/20079361 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1651231776/20079361 (*.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1651231776/20079361 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1651231776/20079361 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1651231776/20079361 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1651231776/20079361 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1651231776/20079361 (*.f64 x x)))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 -1651231776/20079361 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) -1651231776/20079361) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (/.f64 x -1651231776/20079361)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1651231776/20079361 (*.f64 x x)))) 2)) (cbrt.f64 (log.f64 (/.f64 -1651231776/20079361 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1651231776/20079361 (*.f64 x x))))) (sqrt.f64 (log.f64 (/.f64 -1651231776/20079361 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1651231776/20079361 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1651231776/20079361 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1651231776/20079361 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -4502193042845904546911256576/8095611589928196122881 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1651231776/20079361 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1651231776/20079361 (*.f64 x x))))))) (#(struct:change #<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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1651231776/20079361 (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 -1651231776/20079361) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -4502193042845904546911256576/8095611589928196122881 (pow.f64 x 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x -1651231776/20079361))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1651231776/20079361 (*.f64 x x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1651231776/20079361 (*.f64 x x))) 3) 1/3))))))

simplify65.0ms (2.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
015216
132216
257216
3113216
4293216
51035216
64823216
77508216
Stop Event
1×node limit
Counts
212 → 193
Calls
Call 1
Inputs
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(/.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 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (*.f64 27061/4481 (/.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 (/.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 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 (/.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 (/.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 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 (/.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 (/.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 -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))

eval214.0ms (7.4%)

Compiler

Compiled 8078 to 5953 computations (26.3% saved)

prune74.0ms (2.5%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New5313534
Fresh000
Picked011
Done055
Total5319540
Error
0b
Counts
540 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
33.7b
-230753/100000
✓1.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
28.9b
x
✓28.4b
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
✓0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
✓29.2b
(-.f64 x (/.f64 27061/4481 x))
▶28.4b
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
✓1.3b
(-.f64 x 230753/100000)
✓29.8b
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
Compiler

Compiled 72 to 54 computations (25% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series2.0ms (0.1%)

Counts
2 → 3
Calls

6 calls:

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

rewrite69.0ms (2.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11359
216029
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 30191289437/10000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 30191289437/10000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 30191289437/10000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 30191289437/10000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 30191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 30191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 30191289437/10000000000 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 30191289437/10000000000 x) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -230753/100000 (*.f64 30191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 30191289437/10000000000 x -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) 2) (cbrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) (sqrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 3) -12286892763167777/1000000000000000) (/.f64 1 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2) (+.f64 53246947009/10000000000 (*.f64 x 6966730611456061/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2) -53246947009/10000000000) (/.f64 1 (fma.f64 30191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2) (+.f64 53246947009/10000000000 (*.f64 x 6966730611456061/1000000000000000))) (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 3) -12286892763167777/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 30191289437/10000000000 x 230753/100000) (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2) -53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 3) -12286892763167777/1000000000000000) (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2) (+.f64 53246947009/10000000000 (*.f64 x 6966730611456061/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 3) -12286892763167777/1000000000000000) (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2) (-.f64 53246947009/10000000000 (*.f64 (*.f64 30191289437/10000000000 x) -230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2) -53246947009/10000000000) (fma.f64 30191289437/10000000000 x 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2) -53246947009/10000000000) (-.f64 (*.f64 30191289437/10000000000 x) -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 3) -12286892763167777/1000000000000000)) (neg.f64 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2) (+.f64 53246947009/10000000000 (*.f64 x 6966730611456061/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2) -53246947009/10000000000)) (neg.f64 (fma.f64 30191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 30191289437/10000000000 x -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 30191289437/10000000000 -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 30191289437/10000000000 x) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 30191289437/10000000000 x)) 2) (cbrt.f64 (*.f64 30191289437/10000000000 x)) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 30191289437/10000000000 x)) (sqrt.f64 (*.f64 30191289437/10000000000 x)) -230753/100000)))))

simplify7.0ms (0.2%)

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
-230753/100000
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)
Outputs
-230753/100000
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)

eval13.0ms (0.4%)

Compiler

Compiled 421 to 357 computations (15.2% saved)

prune10.0ms (0.4%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New43245
Fresh112
Picked011
Done066
Total441054
Error
0b
Counts
54 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.4b
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
✓0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
28.9b
x
✓28.4b
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
✓29.2b
(-.f64 x (/.f64 27061/4481 x))
33.7b
-230753/100000
✓28.4b
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
✓1.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
✓1.3b
(-.f64 x 230753/100000)
✓29.8b
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
Compiler

Compiled 82 to 63 computations (23.2% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
0.4b
(*.f64 30191289437/10000000000 x)
✓3.3b
(-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1)
Compiler

Compiled 29 to 24 computations (17.2% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite78.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
524×unpow-prod-down_binary64
489×fma-def_binary64
438×prod-diff_binary64
356×log-prod_binary64
294×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0920
121211
229219
Stop Event
1×node limit
Counts
2 → 166
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1)
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 30191289437/10000000000 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 30191289437/10000000000 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 30191289437/10000000000 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 30191289437/10000000000 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 30191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 30191289437/10000000000 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 30191289437/10000000000 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 30191289437/10000000000) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 30191289437/10000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 30191289437/10000000000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 30191289437/10000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 30191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 30191289437/10000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 30191289437/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (cbrt.f64 30191289437/10000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (sqrt.f64 30191289437/10000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 27519781727879580139643921576453/1000000000000000000000000000000 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 30191289437/10000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 30191289437/10000000000 x)) (cbrt.f64 (*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))) (cbrt.f64 (*.f64 30191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 30191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 (cbrt.f64 x) 30191289437/10000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 30191289437/10000000000 x)) (sqrt.f64 (*.f64 30191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 30191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) 30191289437/10000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 30191289437/10000000000 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 30191289437/10000000000 x 1) 2) (fma.f64 30191289437/10000000000 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 30191289437/10000000000 x 1) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 30191289437/10000000000 x 1) 2) (fma.f64 30191289437/10000000000 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 30191289437/10000000000 x 1) 2) -1) (/.f64 1 (fma.f64 30191289437/10000000000 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 30191289437/10000000000 x 1) 2) -1) (pow.f64 (/.f64 1 (fma.f64 30191289437/10000000000 x 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 30191289437/10000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 30191289437/10000000000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 30191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 30191289437/10000000000 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 30191289437/10000000000 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x 1)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x 1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 30191289437/10000000000 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 30191289437/10000000000 (sqrt.f64 x)) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 30191289437/10000000000) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 30191289437/10000000000 x))) 2) 3) (cbrt.f64 (*.f64 30191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 30191289437/10000000000) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 27519781727879580139643921576453/1000000000000000000000000000000 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 911513957868707776969/100000000000000000000 (*.f64 x x)) 30191289437/10000000000) 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 911513957868707776969/100000000000000000000 (*.f64 x x)) x) 1/3) (cbrt.f64 30191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 911513957868707776969/100000000000000000000 (*.f64 x x)) (cbrt.f64 (*.f64 911513957868707776969/100000000000000000000 (*.f64 x x)))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 30191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 911513957868707776969/100000000000000000000 (*.f64 x x)) (sqrt.f64 (*.f64 30191289437/10000000000 x))) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 30191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 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(pow.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x 1)) 2) (cbrt.f64 (fma.f64 30191289437/10000000000 x 1)) -330753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x 1)) 1) -330753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 30191289437/10000000000) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 30191289437/10000000000 x)) (sqrt.f64 (*.f64 30191289437/10000000000 x)) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x 1)) (sqrt.f64 (fma.f64 30191289437/10000000000 x 1)) -330753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x 1)) (*.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x 1)) 1) -330753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 30191289437/10000000000) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 30191289437/10000000000 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 30191289437/10000000000 x 1) 2) (fma.f64 30191289437/10000000000 x 2))) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 27519781727879580139643921576453/1000000000000000000000000000000 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 (*.f64 30191289437/10000000000 x) (fma.f64 30191289437/10000000000 x -1) 1)) -330753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 30191289437/10000000000 x 1) 2) -1) (/.f64 1 (fma.f64 30191289437/10000000000 x 2)) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 911513957868707776969/100000000000000000000 (*.f64 x x))) (/.f64 1 (+.f64 1 (*.f64 -30191289437/10000000000 x))) -330753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x 1)) 1) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 30191289437/10000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 30191289437/10000000000 (sqrt.f64 x)) (sqrt.f64 x) -230753/100000)))))

simplify12.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

eval61.0ms (2.1%)

Compiler

Compiled 2206 to 1816 computations (17.7% saved)

prune26.0ms (0.9%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New1790179
Fresh022
Picked011
Done077
Total17910189
Error
0b
Counts
189 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.4b
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
✓0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
28.9b
x
✓28.4b
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
✓29.2b
(-.f64 x (/.f64 27061/4481 x))
33.7b
-230753/100000
✓28.4b
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
✓1.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
✓1.3b
(-.f64 x 230753/100000)
✓29.8b
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
Compiler

Compiled 82 to 63 computations (23.2% saved)

regimes15.0ms (0.5%)

Counts
11 → 1
Calls
Call 1
Inputs
-230753/100000
-230753/100000
x
(-.f64 x 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 x (/.f64 27061/4481 x))
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
Outputs
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
Calls

2 calls:

6.0ms
x
5.0ms
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
Results
ErrorSegmentsBranch
0b1x
0b1(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
Compiler

Compiled 94 to 70 computations (25.5% saved)

regimes9.0ms (0.3%)

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

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
1.0b1x
Compiler

Compiled 59 to 43 computations (27.1% saved)

regimes8.0ms (0.3%)

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

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
1.3b1x
Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes12.0ms (0.4%)

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

1 calls:

11.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch45.0ms (1.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
2.2387804098994057e-11
87.69257555740967
23.0ms
-3943962.8729327666
-0.0035762531704590975
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
33.7b1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify8.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02864
14464
25564
36464
47864
58364
68664
78764
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
(-.f64 x 230753/100000)
(if (<=.f64 x -4234797888971109/1073741824) x (if (<=.f64 x 6928689771455525/309485009821345068724781056) -230753/100000 x))
-230753/100000
Outputs
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))))
(+.f64 x (/.f64 (+.f64 -230753/100000 (*.f64 x -27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))))
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
(+.f64 x (/.f64 (+.f64 -230753/100000 (*.f64 x -27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
(-.f64 x 230753/100000)
(+.f64 x -230753/100000)
(if (<=.f64 x -4234797888971109/1073741824) x (if (<=.f64 x 6928689771455525/309485009821345068724781056) -230753/100000 x))
-230753/100000
Compiler

Compiled 50 to 38 computations (24% saved)

soundness0.0ms (0%)

end39.0ms (1.3%)

Compiler

Compiled 46 to 34 computations (26.1% saved)

Profiling

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