Details

Time bar (total: 6.8s)

analyze8.0ms (0.1%)

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

Compiled 19 to 15 computations (21.1% saved)

sample1.9s (27.3%)

Results
1.8s8256×body256valid

preprocess87.0ms (1.3%)

Algorithm
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
saturated
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)

simplify76.0ms (1.1%)

Algorithm
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
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)))

eval2.0ms (0%)

Compiler

Compiled 32 to 24 computations (25% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.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)

localize55.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiled 71 to 55 computations (22.5% saved)

series12.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

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

rewrite122.0ms (1.8%)

Algorithm
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
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)))))

simplify108.0ms (1.6%)

Algorithm
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
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))

eval84.0ms (1.2%)

Compiler

Compiled 2683 to 2087 computations (22.2% saved)

prune24.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1237130
Fresh000
Picked011
Done000
Total1238131
Error
0b
Counts
131 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
1.3b
(-.f64 x 230753/100000)
0.2b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))))
32.8b
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
31.9b
(-.f64 x (/.f64 27061/4481 x))
0.9b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
0.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
26.0b
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
16.0b
(-.f64 x (*.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))) (-.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))
Compiler

Compiled 202 to 154 computations (23.8% saved)

localize70.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
0.1b
(fma.f64 x 4481/100000 99229/100000)
0.4b
(*.f64 x 27061/100000)
3.3b
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))
Compiler

Compiled 101 to 80 computations (20.8% saved)

series125.0ms (1.8%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
85.0ms
x
@inf
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))
22.0ms
x
@-inf
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))
15.0ms
x
@0
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))
0.0ms
x
@-inf
(fma.f64 x 4481/100000 99229/100000)
0.0ms
x
@-inf
(*.f64 x (fma.f64 x 4481/100000 99229/100000))

rewrite71.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
839×pow1_binary64
784×add-log-exp_binary64
784×log1p-expm1-u_binary64
784×expm1-log1p-u_binary64
772×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
120321
2210021
Stop Event
node limit
Counts
3 → 75
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))
(fma.f64 x 4481/100000 99229/100000)
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
Outputs
((#(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 (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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) 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 (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2) (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x 4481/100000 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 4481/100000 99229/100000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 2) (*.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 4481/100000 99229/100000)) (*.f64 (sqrt.f64 (fma.f64 x 4481/100000 99229/100000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) (sqrt.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 2)) (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (fma.f64 x 4481/100000 99229/100000))) (sqrt.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x 4481/100000 99229/100000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x 4481/100000 99229/100000) (sqrt.f64 x)) (sqrt.f64 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 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3) 1/3)))) (#(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 sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))))) (#(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 cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 4481/100000 99229/100000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 4481/100000 99229/100000) 3) (pow.f64 x 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 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 +.f64 99229/100000 (*.f64 x 4481/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 4481/100000) 99229/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 4481/100000) 1) 99229/100000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 4481/100000 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 4481/100000 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 4481/100000 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) (pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 2) (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 4481/100000 99229/100000)) (sqrt.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 4481/100000) 3) 977047873985989/1000000000000000) (+.f64 (*.f64 (*.f64 x 4481/100000) (*.f64 x 4481/100000)) (-.f64 9846394441/10000000000 (*.f64 (*.f64 x 4481/100000) 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 4481/100000) (*.f64 x 4481/100000)) 9846394441/10000000000) (-.f64 (*.f64 x 4481/100000) 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 4481/100000 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 4481/100000 99229/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 4481/100000 99229/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 4481/100000 99229/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 4481/100000 99229/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 4481/100000 99229/100000)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))) (#(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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) 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 (*.f64 x 4481/100000)) (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 2) (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))))) (#(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 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3) 1/3)))) (#(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 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 cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 4481/100000 99229/100000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 4481/100000 99229/100000) 3) (pow.f64 x 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 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))))))))

simplify186.0ms (2.7%)

Algorithm
egg-herbie
Rules
778×sqr-pow_binary64
586×associate-*l*_binary64
561×cube-prod_binary64
553×fabs-mul_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015296
127236
243236
372236
4175236
5514236
61797236
73020236
83216236
93429236
103649236
113961236
124363236
134854236
145422236
156108236
166941236
177333236
187623236
197901236
207969236
Stop Event
node limit
Counts
111 → 67
Calls
Call 1
Inputs
(*.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 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (fma.f64 x 4481/100000 99229/100000) x)
(*.f64 (fma.f64 x 4481/100000 99229/100000) x)
(*.f64 (fma.f64 x 4481/100000 99229/100000) x)
(*.f64 (fma.f64 x 4481/100000 99229/100000) x)
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(*.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
(*.f64 99229/100000 x)
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 (fma.f64 x 4481/100000 99229/100000) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (fma.f64 x 4481/100000 99229/100000) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (fma.f64 x 4481/100000 99229/100000) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (fma.f64 x 4481/100000 99229/100000) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 x 4481/100000 99229/100000)
(*.f64 99229/100000 x)
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (*.f64 x x))
(*.f64 x (*.f64 x 4481/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (*.f64 x x))
(*.f64 x (*.f64 x 4481/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite48.0ms (0.7%)

Algorithm
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
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)))))

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite47.0ms (0.7%)

Algorithm
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
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 (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 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)

series4.0ms (0.1%)

Counts
3 → 15
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 -20191289437/10000000000 x)
1.0ms
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)))

rewrite96.0ms (1.4%)

Algorithm
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
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 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((#(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 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(*.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 (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0963
11463
21663
Stop Event
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)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
0.2b
(/.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)

series4.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

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

rewrite84.0ms (1.2%)

Algorithm
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
node limit
Counts
3 → 188
Calls
Call 1
Inputs
(/.f64 -1651231776/20079361 x)
(/.f64 (/.f64 -1651231776/20079361 x) x)
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
Outputs
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simplify62.0ms (0.9%)

Algorithm
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
node limit
Counts
212 → 193
Calls
Call 1
Inputs
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -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))))
Outputs
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -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)))

eval183.0ms (2.7%)

Compiler

Compiled 7502 to 5630 computations (25% saved)

prune66.0ms (1%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New4676473
Fresh112
Picked011
Done235
Total47011481
Error
0b
Counts
481 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
x
29.3b
(-.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)))
31.9b
(-.f64 x (/.f64 27061/4481 x))
26.0b
(+.f64 (+.f64 x -230753/100000) (*.f64 20191289437/10000000000 x))
0.9b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
0.2b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000))))))))
30.8b
-230753/100000
32.8b
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
0.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
1.3b
(-.f64 x 230753/100000)
26.0b
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
Compiler

Compiled 176 to 138 computations (21.6% saved)

localize63.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000))
0.3b
(*.f64 x 4481/100000)
0.4b
(*.f64 x 27061/100000)
3.3b
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000)))))
Compiler

Compiled 112 to 90 computations (19.6% saved)

series69.0ms (1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
47.0ms
x
@-inf
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000)))))
18.0ms
x
@inf
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000)))))
3.0ms
x
@0
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000)))))
0.0ms
x
@0
(*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000))
0.0ms
x
@inf
(*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000))

rewrite79.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
458×log-prod_binary64
458×prod-diff_binary64
303×fma-def_binary64
289×pow-prod-down_binary64
263×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
123916
2278516
Stop Event
node limit
Counts
2 → 153
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000)))))
(*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000))
Outputs
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simplify71.0ms (1%)

Algorithm
egg-herbie
Rules
464×unsub-neg_binary64
457×neg-sub0_binary64
449×neg-mul-1_binary64
435×fma-neg_binary64
372×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016242
132182
257182
3117182
4358182
51266182
62559182
74171182
86690182
Stop Event
node limit
Counts
177 → 92
Calls
Call 1
Inputs
(*.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 (+.f64 99229/100000 (*.f64 4481/100000 x)) x)
(*.f64 (+.f64 99229/100000 (*.f64 4481/100000 x)) x)
(*.f64 (+.f64 99229/100000 (*.f64 4481/100000 x)) x)
(*.f64 (+.f64 99229/100000 (*.f64 4481/100000 x)) x)
(*.f64 (-.f64 99229/100000 (*.f64 -4481/100000 x)) x)
(*.f64 (-.f64 99229/100000 (*.f64 -4481/100000 x)) x)
(*.f64 (-.f64 99229/100000 (*.f64 -4481/100000 x)) x)
(*.f64 (-.f64 99229/100000 (*.f64 -4481/100000 x)) 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
(*.f64 99229/100000 x)
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (+.f64 99229/100000 (*.f64 4481/100000 x)) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (+.f64 99229/100000 (*.f64 4481/100000 x)) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (+.f64 99229/100000 (*.f64 4481/100000 x)) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (+.f64 99229/100000 (*.f64 4481/100000 x)) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (-.f64 99229/100000 (*.f64 -4481/100000 x)) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (-.f64 99229/100000 (*.f64 -4481/100000 x)) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (-.f64 99229/100000 (*.f64 -4481/100000 x)) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 (-.f64 99229/100000 (*.f64 -4481/100000 x)) x)
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 99229/100000 x)
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (*.f64 x x))
(*.f64 x (*.f64 x 4481/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(*.f64 4481/100000 (*.f64 x x))
(*.f64 x (*.f64 x 4481/100000))
(+.f64 (*.f64 99229/100000 x) (*.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (*.f64 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.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 4481/100000 (*.f64 x x)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))

localize5.0ms (0.1%)

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)

series3.0ms (0%)

Counts
2 → 3
Calls

6 calls:

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

rewrite68.0ms (1%)

Algorithm
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
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 (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
169
Stop Event
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)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 17 to 12 computations (29.4% saved)

series3.0ms (0%)

Counts
3 → 24
Calls

9 calls:

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

rewrite101.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
933×pow1_binary64
882×add-log-exp_binary64
882×log1p-expm1-u_binary64
882×expm1-log1p-u_binary64
868×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0718
116416
2227716
Stop Event
node limit
Counts
3 → 81
Calls
Call 1
Inputs
(*.f64 20191289437/10000000000 x)
(+.f64 (+.f64 x -230753/100000) (*.f64 20191289437/10000000000 x))
(+.f64 x -230753/100000)
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 (+.f64 1 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x -230753/100000) 2) (+.f64 x (-.f64 -230753/100000 (*.f64 20191289437/10000000000 x)))) (/.f64 (pow.f64 (*.f64 20191289437/10000000000 x) 2) (+.f64 x (-.f64 -230753/100000 (*.f64 20191289437/10000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000))) (pow.f64 (cbrt.f64 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000))) 2) (cbrt.f64 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000))) (sqrt.f64 (fma.f64 20191289437/10000000000 x (+.f64 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 1 (+.f64 (pow.f64 (+.f64 x -230753/100000) 2) (*.f64 (*.f64 20191289437/10000000000 x) (-.f64 (*.f64 20191289437/10000000000 x) (+.f64 x -230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x -230753/100000) 2) (pow.f64 (*.f64 20191289437/10000000000 x) 2)) (/.f64 1 (+.f64 x (-.f64 -230753/100000 (*.f64 20191289437/10000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -230753/100000) 2) (*.f64 (*.f64 20191289437/10000000000 x) (-.f64 (*.f64 20191289437/10000000000 x) (+.f64 x -230753/100000)))) (+.f64 (pow.f64 (+.f64 x -230753/100000) 3) (pow.f64 (*.f64 20191289437/10000000000 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (-.f64 -230753/100000 (*.f64 20191289437/10000000000 x))) (-.f64 (pow.f64 (+.f64 x -230753/100000) 2) (pow.f64 (*.f64 20191289437/10000000000 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x -230753/100000) 3) (pow.f64 (*.f64 20191289437/10000000000 x) 3)) (+.f64 (pow.f64 (+.f64 x -230753/100000) 2) (*.f64 (*.f64 20191289437/10000000000 x) (-.f64 (*.f64 20191289437/10000000000 x) (+.f64 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 (pow.f64 (*.f64 20191289437/10000000000 x) 2) (-.f64 (pow.f64 (+.f64 x -230753/100000) 2) (*.f64 (*.f64 20191289437/10000000000 x) (+.f64 x -230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -230753/100000) 2) (pow.f64 (*.f64 20191289437/10000000000 x) 2)) (+.f64 x (-.f64 -230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -230753/100000) 3) (pow.f64 (*.f64 20191289437/10000000000 x) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -230753/100000) 2) (*.f64 (*.f64 20191289437/10000000000 x) (-.f64 (*.f64 20191289437/10000000000 x) (+.f64 x -230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x -230753/100000) 2) (pow.f64 (*.f64 20191289437/10000000000 x) 2))) (neg.f64 (+.f64 x (-.f64 -230753/100000 (*.f64 20191289437/10000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 20191289437/10000000000 x) -230753/100000) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (*.f64 20191289437/10000000000 x) -230753/100000) (+.f64 (*.f64 20191289437/10000000000 x) -230753/100000)) (*.f64 x (+.f64 (*.f64 20191289437/10000000000 x) -230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 20191289437/10000000000 x) -230753/100000) (+.f64 (*.f64 20191289437/10000000000 x) -230753/100000))) (-.f64 x (+.f64 (*.f64 20191289437/10000000000 x) -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 20191289437/10000000000 x) 2) (pow.f64 (+.f64 x -230753/100000) 2)) (-.f64 (*.f64 20191289437/10000000000 x) (+.f64 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 20191289437/10000000000 x (+.f64 x -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 20191289437/10000000000 (+.f64 x -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 (*.f64 20191289437/10000000000 x) -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 20191289437/10000000000 x) (+.f64 x -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x -230753/100000) (*.f64 20191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -230753/100000)) 2) (cbrt.f64 (+.f64 x -230753/100000)) (*.f64 20191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (*.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)) (+.f64 x -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -230753/100000)) (sqrt.f64 (+.f64 x -230753/100000)) (*.f64 20191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.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)) (+.f64 x -230753/100000))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x -230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x 230753/100000)) (/.f64 53246947009/10000000000 (+.f64 x 230753/100000)))))) (#(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 -12286892763167777/1000000000000000 (pow.f64 x 3)) (/.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 -12286892763167777/1000000000000000 (pow.f64 x 3))))))) (#(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 -12286892763167777/1000000000000000 (pow.f64 x 3)) (fma.f64 x x (-.f64 53246947009/10000000000 (*.f64 x -230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -12286892763167777/1000000000000000 (pow.f64 x 3)) (+.f64 53246947009/10000000000 (-.f64 (*.f64 x x) (*.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 -12286892763167777/1000000000000000 (pow.f64 x 3))) (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 /.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (-.f64 -230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -230753/100000) 1)))) (#(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 pow.f64 (pow.f64 (+.f64 x -230753/100000) 3) 1/3)))) (#(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)))))

simplify19.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0893
11393
21693
Stop Event
saturated
Counts
105 → 88
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 x 230753/100000)
(-.f64 x 230753/100000)
(-.f64 x 230753/100000)
x
(-.f64 x 230753/100000)
(-.f64 x 230753/100000)
(-.f64 x 230753/100000)
x
(-.f64 x 230753/100000)
(-.f64 x 230753/100000)
(-.f64 x 230753/100000)
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 x 230753/100000)
(+.f64 x -230753/100000)
(-.f64 x 230753/100000)
(+.f64 x -230753/100000)
(-.f64 x 230753/100000)
(+.f64 x -230753/100000)
x
(-.f64 x 230753/100000)
(+.f64 x -230753/100000)
(-.f64 x 230753/100000)
(+.f64 x -230753/100000)
(-.f64 x 230753/100000)
(+.f64 x -230753/100000)
x
(-.f64 x 230753/100000)
(+.f64 x -230753/100000)
(-.f64 x 230753/100000)
(+.f64 x -230753/100000)
(-.f64 x 230753/100000)
(+.f64 x -230753/100000)

localize43.0ms (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)

series8.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite92.0ms (1.4%)

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

simplify57.0ms (0.8%)

Algorithm
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
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)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(-.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)))
0.3b
(pow.f64 (*.f64 -20191289437/10000000000 x) 2)
0.6b
(*.f64 -20191289437/10000000000 x)
15.5b
(/.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000))
Compiler

Compiled 54 to 44 computations (18.5% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)))
1.0ms
x
@-inf
(-.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)))
1.0ms
x
@inf
(/.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000))
1.0ms
x
@0
(/.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000))
1.0ms
x
@-inf
(/.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000))

rewrite164.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
860×prod-diff_binary64
437×fma-def_binary64
272×fma-neg_binary64
243×expm1-udef_binary64
243×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01244
129220
2398920
Stop Event
node limit
Counts
3 → 340
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000))
(pow.f64 (*.f64 -20191289437/10000000000 x) 2)
(-.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)))
Outputs
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simplify192.0ms (2.8%)

Algorithm
egg-herbie
Rules
1101×sqr-pow_binary64
580×associate-*l*_binary64
565×cube-prod_binary64
556×fabs-mul_binary64
528×pow-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014210
126192
241192
370192
4156192
5453192
61660192
72575192
82739192
92953192
103173192
113478192
123880192
134369192
144935192
155621192
166458192
176846192
187136192
197412192
207484192
217520192
Stop Event
node limit
Counts
376 → 349
Calls
Call 1
Inputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(*.f64 -20191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(*.f64 -20191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
-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
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(*.f64 -20191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(*.f64 -20191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
(*.f64 407688169128707776969/100000000000000000000 (pow.f64 x 2))
(*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 407688169128707776969/100000000000000000000))
-230753/100000
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(*.f64 30191289437/10000000000 x)
(*.f64 x 30191289437/10000000000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(*.f64 30191289437/10000000000 x)
(*.f64 x 30191289437/10000000000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)

eval499.0ms (7.3%)

Compiler

Compiled 21422 to 16135 computations (24.7% saved)

prune102.0ms (1.5%)

Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New7744778
Fresh022
Picked101
Done088
Total77514789
Error
0b
Counts
789 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
(-.f64 x (/.f64 27061/4481 x))
26.0b
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
33.2b
(-.f64 x (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))))
26.0b
(+.f64 (+.f64 x -230753/100000) (*.f64 20191289437/10000000000 x))
0.9b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
0.2b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000))))))))
28.1b
(-.f64 x 27061/99229)
31.9b
x
30.8b
-230753/100000
32.8b
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
32.3b
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
0.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
1.3b
(-.f64 x 230753/100000)
26.0b
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
Compiler

Compiled 130 to 100 computations (23.1% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x 27061/99229)
Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 x 27061/99229)
0.0ms
x
@inf
(-.f64 x 27061/99229)
0.0ms
x
@-inf
(-.f64 x 27061/99229)

rewrite59.0ms (0.9%)

Algorithm
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
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(-.f64 x 27061/99229)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -27061/99229 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -27061/99229) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x -27061/99229))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -27061/99229)) (pow.f64 (cbrt.f64 (+.f64 x -27061/99229)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -27061/99229)) 2) (cbrt.f64 (+.f64 x -27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -27061/99229)) (sqrt.f64 (+.f64 x -27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) -19816708627981/977047873985989) (/.f64 1 (fma.f64 x x (+.f64 732297721/9846394441 (*.f64 x 27061/99229)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -732297721/9846394441) (/.f64 1 (+.f64 x 27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 732297721/9846394441 (*.f64 x 27061/99229))) (+.f64 (pow.f64 x 3) -19816708627981/977047873985989)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 27061/99229) (fma.f64 x x -732297721/9846394441)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -19816708627981/977047873985989) (fma.f64 x x (+.f64 732297721/9846394441 (*.f64 x 27061/99229))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -19816708627981/977047873985989) (+.f64 (*.f64 x x) (-.f64 732297721/9846394441 (*.f64 x -27061/99229))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -732297721/9846394441) (+.f64 x 27061/99229))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -732297721/9846394441) (-.f64 x -27061/99229))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) -19816708627981/977047873985989)) (neg.f64 (fma.f64 x x (+.f64 732297721/9846394441 (*.f64 x 27061/99229)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -732297721/9846394441)) (neg.f64 (+.f64 x 27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -27061/99229) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -27061/99229) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -27061/99229)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -27061/99229)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -27061/99229) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -27061/99229) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -27061/99229)))))

simplify12.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023
Stop Event
saturated
Counts
33 → 32
Calls
Call 1
Inputs
-27061/99229
x
x
Outputs
-27061/99229
x
x

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
0.0b
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
0.1b
(/.f64 20191289437/9846394441 x)
Compiler

Compiled 19 to 14 computations (26.3% saved)

series5.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 20191289437/9846394441 x)
1.0ms
x
@inf
(/.f64 20191289437/9846394441 x)
1.0ms
x
@-inf
(/.f64 20191289437/9846394441 x)
1.0ms
x
@0
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
0.0ms
x
@-inf
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))

rewrite116.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
535×prod-diff_binary64
518×unpow-prod-down_binary64
359×log-prod_binary64
283×fma-def_binary64
227×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
117221
2244121
Stop Event
node limit
Counts
3 → 239
Calls
Call 1
Inputs
(/.f64 20191289437/9846394441 x)
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 20191289437/9846394441 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 20191289437/9846394441 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 20191289437/9846394441 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2) (cbrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x)) (sqrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -20191289437/9846394441 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -20191289437/9846394441 (pow.f64 (/.f64 1 (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 20191289437/9846394441)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 20191289437/9846394441) 3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 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732297721/9846394441))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x -3) 19816708627981/977047873985989) (fma.f64 407688169128707776969/96951483487755702481 (pow.f64 x -2) (-.f64 732297721/9846394441 (/.f64 546396483454657/977047873985989 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 732297721/9846394441 (*.f64 407688169128707776969/96951483487755702481 (pow.f64 x -2))) (-.f64 27061/99229 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x -3) 19816708627981/977047873985989)) (neg.f64 (fma.f64 (/.f64 20191289437/9846394441 x) (-.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 732297721/9846394441)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 732297721/9846394441 (*.f64 407688169128707776969/96951483487755702481 (pow.f64 x -2)))) (neg.f64 (-.f64 27061/99229 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 407688169128707776969/96951483487755702481 (pow.f64 x -2) -732297721/9846394441) (-.f64 (/.f64 20191289437/9846394441 x) 27061/99229))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 20191289437/9846394441 x) (-.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 732297721/9846394441) (fma.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x -3) 19816708627981/977047873985989)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (-.f64 732297721/9846394441 (*.f64 407688169128707776969/96951483487755702481 (pow.f64 x -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 20191289437/9846394441 (/.f64 1 x) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 20191289437/9846394441 x) 1 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 20191289437/9846394441 x) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2) (cbrt.f64 (/.f64 20191289437/9846394441 x)) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x)) (sqrt.f64 (/.f64 20191289437/9846394441 x)) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -20191289437/9846394441 (/.f64 1 (neg.f64 x)) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 20191289437/9846394441 27061/99229)))))

simplify47.0ms (0.7%)

Algorithm
egg-herbie
Rules
180×fma-neg_binary64
110×fma-def_binary64
47×cancel-sign-sub-inv_binary64
36×associate-/l*_binary64
33×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014152
129150
260150
3104150
4190150
5278150
6468150
7620150
8698150
9770150
10842150
11862150
12880150
Stop Event
saturated
Counts
263 → 251
Calls
Call 1
Inputs
(/.f64 -20191289437/9846394441 x)
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
x
(-.f64 x 27061/99229)
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
x
(-.f64 x 27061/99229)
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(/.f64 20191289437/9846394441 x)
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
Outputs
(/.f64 -20191289437/9846394441 x)
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 -27061/99229 (neg.f64 (/.f64 20191289437/9846394441 x)))
(+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x))
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229))
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x))
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229))
x
(-.f64 x 27061/99229)
(+.f64 x -27061/99229)
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x))
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229))
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x))
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229))
x
(-.f64 x 27061/99229)
(+.f64 x -27061/99229)
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x))
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229))
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x))
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229))
(/.f64 20191289437/9846394441 x)
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
0.0b
(-.f64 x (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))))
0.1b
(/.f64 20191289437/9846394441 x)
0.6b
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
Compiler

Compiled 45 to 28 computations (37.8% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite128.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
596×fma-def_binary64
590×log-prod_binary64
345×fma-neg_binary64
261×log-div_binary64
248×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01142
127638
2419838
Stop Event
node limit
Counts
3 → 280
Calls
Call 1
Inputs
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(-.f64 x (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))))
(-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
Outputs
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fma.f64 (-.f64 (/.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x 4)) (pow.f64 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)) 2)) (/.f64 1 (+.f64 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) -27061/99229) (/.f64 -20191289437/9846394441 x))) (+.f64 (+.f64 27061/99229 (neg.f64 (/.f64 -20191289437/9846394441 x))) (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2019128943700000/977047873985989 x) (/.f64 1 x) (+.f64 27061/99229 (neg.f64 (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2019128943700000/977047873985989 x) (/.f64 1 x) (*.f64 (+.f64 27061/99229 (neg.f64 (/.f64 -20191289437/9846394441 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) 27061/99229) 1 (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 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(2) ((x fma.f64 (sqrt.f64 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) 27061/99229)) (sqrt.f64 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) 27061/99229)) (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) 27061/99229)) (sqrt.f64 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) 27061/99229)) (neg.f64 (/.f64 -20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 27061/99229 (neg.f64 (/.f64 -20191289437/9846394441 x)))) (sqrt.f64 (+.f64 27061/99229 (neg.f64 (/.f64 -20191289437/9846394441 x)))) (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)))) (sqrt.f64 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))) (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)) (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) (sqrt.f64 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)))) (-.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) (sqrt.f64 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)))) (fma.f64 (+.f64 27061/99229 (neg.f64 (/.f64 -20191289437/9846394441 x))) 1 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) (sqrt.f64 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)))) (-.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) (sqrt.f64 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)))) (pow.f64 (cbrt.f64 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))) 2) (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) (sqrt.f64 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)))) (-.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) (sqrt.f64 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x)))) (+.f64 (+.f64 27061/99229 (neg.f64 (/.f64 -20191289437/9846394441 x))) (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))) 2)) (cbrt.f64 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))) (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)))))))

simplify75.0ms (1.1%)

Algorithm
egg-herbie
Rules
595×fma-def_binary64
584×associate-/l/_binary64
518×fma-neg_binary64
495×div-sub_binary64
473×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024339
168339
2151339
3316339
4718339
52049339
67327339
Stop Event
node limit
Counts
316 → 302
Calls
Call 1
Inputs
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(-.f64 (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) x) (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
x
(-.f64 x 27061/99229)
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) x) (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
x
(-.f64 x 27061/99229)
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) x) (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(-.f64 (*.f64 20191289437/9846394441 (/.f64 1 x)) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (*.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 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 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 2019128943700000/977047873985989 x) x)
(-.f64 (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (/.f64 20191289437/9846394441 x))
(+.f64 (/.f64 (/.f64 2019128943700000/977047873985989 x) x) (/.f64 -20191289437/9846394441 x))
(+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (/.f64 -20191289437/9846394441 x))
(-.f64 (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))
(+.f64 (/.f64 (/.f64 2019128943700000/977047873985989 x) x) (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229))
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x
(-.f64 x 27061/99229)
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(-.f64 (+.f64 x -27061/99229) (/.f64 20191289437/9846394441 x))
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(+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (+.f64 x (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))))
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(+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 (/.f64 (/.f64 2019128943700000/977047873985989 x) x) -27061/99229)))
x
(-.f64 x 27061/99229)
(+.f64 x -27061/99229)
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 (+.f64 x -27061/99229) (/.f64 20191289437/9846394441 x))
(+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229))
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(+.f64 x (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
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(+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (+.f64 x (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))))
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(+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 (/.f64 (/.f64 2019128943700000/977047873985989 x) x) -27061/99229)))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(-.f64 (*.f64 20191289437/9846394441 (/.f64 1 x)) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
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(-.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 (/.f64 2019128943700000/977047873985989 x) x)))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 (/.f64 2019128943700000/977047873985989 x) x) -27061/99229))
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(-.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
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27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
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(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 (/.f64 2019128943700000/977047873985989 x) x) -27061/99229))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)
(-.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
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(-.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 (/.f64 2019128943700000/977047873985989 x) x)))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 (/.f64 2019128943700000/977047873985989 x) x) -27061/99229))

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (*.f64 30191289437/10000000000 x))
0.0b
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
0.4b
(*.f64 30191289437/10000000000 x)
3.0b
(-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1)
Compiler

Compiled 29 to 24 computations (17.2% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 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 1 (*.f64 30191289437/10000000000 x))
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)

rewrite84.0ms (1.2%)

Algorithm
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
0927
121216
2292114
Stop Event
node limit
Counts
3 → 229
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1)
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
(+.f64 1 (*.f64 30191289437/10000000000 x))
Outputs
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simplify15.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
fma-def_binary64
fma-neg_binary64
*-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09156
117156
220156
Stop Event
saturated
Counts
265 → 233
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)
1
(+.f64 (*.f64 30191289437/10000000000 x) 1)
(+.f64 (*.f64 30191289437/10000000000 x) 1)
(+.f64 (*.f64 30191289437/10000000000 x) 1)
(*.f64 30191289437/10000000000 x)
(+.f64 (*.f64 30191289437/10000000000 x) 1)
(+.f64 (*.f64 30191289437/10000000000 x) 1)
(+.f64 (*.f64 30191289437/10000000000 x) 1)
(*.f64 30191289437/10000000000 x)
(+.f64 (*.f64 30191289437/10000000000 x) 1)
(+.f64 (*.f64 30191289437/10000000000 x) 1)
(+.f64 (*.f64 30191289437/10000000000 x) 1)
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)
1
(+.f64 (*.f64 30191289437/10000000000 x) 1)
(fma.f64 30191289437/10000000000 x 1)
(+.f64 (*.f64 30191289437/10000000000 x) 1)
(fma.f64 30191289437/10000000000 x 1)
(+.f64 (*.f64 30191289437/10000000000 x) 1)
(fma.f64 30191289437/10000000000 x 1)
(*.f64 30191289437/10000000000 x)
(+.f64 (*.f64 30191289437/10000000000 x) 1)
(fma.f64 30191289437/10000000000 x 1)
(+.f64 (*.f64 30191289437/10000000000 x) 1)
(fma.f64 30191289437/10000000000 x 1)
(+.f64 (*.f64 30191289437/10000000000 x) 1)
(fma.f64 30191289437/10000000000 x 1)
(*.f64 30191289437/10000000000 x)
(+.f64 (*.f64 30191289437/10000000000 x) 1)
(fma.f64 30191289437/10000000000 x 1)
(+.f64 (*.f64 30191289437/10000000000 x) 1)
(fma.f64 30191289437/10000000000 x 1)
(+.f64 (*.f64 30191289437/10000000000 x) 1)
(fma.f64 30191289437/10000000000 x 1)

eval639.0ms (9.4%)

Compiler

Compiled 16231 to 12904 computations (20.5% saved)

prune155.0ms (2.3%)

Pruning

14 alts after pruning (3 fresh and 11 done)

PrunedKeptTotal
New8692871
Fresh112
Picked011
Done11011
Total87114885
Error
0b
Counts
885 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
(-.f64 x (/.f64 27061/4481 x))
26.0b
(-.f64 (-.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1) 230753/100000)
33.2b
(-.f64 x (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))))
26.0b
(+.f64 (+.f64 x -230753/100000) (*.f64 20191289437/10000000000 x))
0.9b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
0.2b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000))))))))
28.1b
(-.f64 x 27061/99229)
0.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
32.0b
(-.f64 x (/.f64 20191289437/9846394441 x))
30.8b
-230753/100000
32.8b
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
1.3b
(-.f64 x 230753/100000)
31.9b
x
26.0b
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
Compiler

Compiled 128 to 98 computations (23.4% saved)

regimes26.0ms (0.4%)

Counts
20 → 1
Calls
Call 1
Inputs
x
x
-230753/100000
(-.f64 x 27061/99229)
(-.f64 x 230753/100000)
(-.f64 x (/.f64 20191289437/9846394441 x))
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 x (/.f64 27061/4481 x))
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 x -230753/100000) (*.f64 20191289437/10000000000 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 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 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))))
(-.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)))
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000))))))))
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))))
(-.f64 x (*.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))) (-.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))
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:

10.0ms
x
8.0ms
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
Compiler

Compiled 211 to 158 computations (25.1% saved)

regimes12.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
x
x
-230753/100000
(-.f64 x 27061/99229)
(-.f64 x 230753/100000)
(-.f64 x (/.f64 20191289437/9846394441 x))
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 x (/.f64 27061/4481 x))
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 x -230753/100000) (*.f64 20191289437/10000000000 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 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 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:

8.0ms
x
Results
ErrorSegmentsBranch
0.9b1x
Compiler

Compiled 94 to 66 computations (29.8% saved)

regimes12.0ms (0.2%)

Counts
14 → 1
Calls
Call 1
Inputs
x
x
-230753/100000
(-.f64 x 27061/99229)
(-.f64 x 230753/100000)
(-.f64 x (/.f64 20191289437/9846394441 x))
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 x (/.f64 27061/4481 x))
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 x -230753/100000) (*.f64 20191289437/10000000000 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 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))))
Outputs
(-.f64 x 230753/100000)
Calls

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
1.3b1x
Compiler

Compiled 81 to 56 computations (30.9% saved)

regimes18.0ms (0.3%)

Counts
4 → 3
Calls
Call 1
Inputs
x
x
-230753/100000
(-.f64 x 27061/99229)
Outputs
x
-230753/100000
x
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 9 to 5 computations (44.4% saved)

bsearch46.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
0.10266196555053207
4.2146016285945445
23.0ms
-23239160.17582378
-0.0002050319247836225
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
x
x
Outputs
x
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
31.9b1x
Compiler

Compiled 5 to 2 computations (60% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02864
14464
25564
36464
47864
58364
68664
78764
Stop Event
fuel
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 -99811432941668752/4294967296) x (if (<=.f64 x 1893779004614651648/18446744073709551616) -230753/100000 x))
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 (+.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 -99811432941668752/4294967296) x (if (<=.f64 x 1893779004614651648/18446744073709551616) -230753/100000 x))
(if (<=.f64 x -6238214558854297/268435456) x (if (<=.f64 x 7397574236775983/72057594037927936) -230753/100000 x))
x
Compiler

Compiled 50 to 37 computations (26% saved)

soundness0.0ms (0%)

end40.0ms (0.6%)

Compiler

Compiled 46 to 33 computations (28.3% saved)

Profiling

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