Details

Time bar (total: 4.1s)

analyze14.0ms (0.3%)

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)

sample1.4s (34.2%)

Results
1.4s8256×body256valid

preprocess103.0ms (2.5%)

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)

simplify70.0ms (1.7%)

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)))

eval1.0ms (0%)

Compiler

Compiled 32 to 24 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
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)

localize32.0ms (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)
16.6b
(/.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)

series8.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

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

rewrite94.0ms (2.3%)

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 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) (cbrt.f64 (/.f64 (fma.f64 x 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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)))))

simplify62.0ms (1.5%)

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))

eval64.0ms (1.6%)

Compiler

Compiled 2683 to 2087 computations (22.2% saved)

prune23.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1255130
Fresh000
Picked011
Done000
Total1256131
Error
0b
Counts
131 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
32.1b
(-.f64 x (/.f64 27061/4481 x))
0.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
1.0b
(-.f64 x 230753/100000)
0.6b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
25.8b
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
Compiler

Compiled 140 to 108 computations (22.9% saved)

localize63.0ms (1.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.8b
(/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)))
6.7b
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
15.5b
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))
17.0b
(cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
Compiler

Compiled 129 to 102 computations (20.9% saved)

series8.0ms (0.2%)

Counts
4 → 24
Calls

12 calls:

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

rewrite92.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
673×log-prod_binary64
390×pow2_binary64
273×pow1/3_binary64
273×log1p-udef_binary64
272×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01776
135558
2417358
Stop Event
node limit
Counts
4 → 151
Calls
Call 1
Inputs
(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))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
(/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/6) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4)))) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4)))) (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 2/3 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (*.f64 2/3 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))) 1))))))

simplify66.0ms (1.6%)

Algorithm
egg-herbie
Rules
852×fma-def_binary64
417×times-frac_binary64
407×*-commutative_binary64
303×associate-*l*_binary64
289×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070312
1169302
2452288
31345264
43787264
57632264
Stop Event
node limit
Counts
175 → 184
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 99229/300000 x))
(+.f64 1 (+.f64 (*.f64 99229/300000 x) (*.f64 -8502094441/90000000000 (pow.f64 x 2))))
(+.f64 (*.f64 816975620345989/16200000000000000 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 99229/300000 x) (*.f64 -8502094441/90000000000 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 99229/150000 x))
(+.f64 1 (+.f64 (*.f64 99229/150000 x) (*.f64 -7157794441/90000000000 (pow.f64 x 2))))
(+.f64 (*.f64 776957556935989/20250000000000000 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 99229/150000 x) (*.f64 -7157794441/90000000000 (pow.f64 x 2)))))
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)))))
1
(+.f64 1 (*.f64 -99229/150000 x))
(+.f64 1 (+.f64 (*.f64 -99229/150000 x) (*.f64 9308674441/18000000000 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -877002715460989/2025000000000000 (pow.f64 x 3)) (+.f64 (*.f64 -99229/150000 x) (*.f64 9308674441/18000000000 (pow.f64 x 2)))))
Outputs
1
(+.f64 1 (*.f64 99229/300000 x))
(fma.f64 99229/300000 x 1)
(+.f64 1 (+.f64 (*.f64 99229/300000 x) (*.f64 -8502094441/90000000000 (pow.f64 x 2))))
(+.f64 1 (fma.f64 99229/300000 x (*.f64 -8502094441/90000000000 (*.f64 x x))))
(+.f64 (fma.f64 99229/300000 x 1) (*.f64 x (*.f64 x -8502094441/90000000000)))
(fma.f64 99229/300000 x (fma.f64 -8502094441/90000000000 (*.f64 x x) 1))
(fma.f64 x (fma.f64 x -8502094441/90000000000 99229/300000) 1)
(+.f64 (*.f64 816975620345989/16200000000000000 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 99229/300000 x) (*.f64 -8502094441/90000000000 (pow.f64 x 2)))))
(fma.f64 816975620345989/16200000000000000 (pow.f64 x 3) (+.f64 1 (fma.f64 99229/300000 x (*.f64 -8502094441/90000000000 (*.f64 x x)))))
(+.f64 (fma.f64 99229/300000 x (*.f64 x (*.f64 x -8502094441/90000000000))) (fma.f64 816975620345989/16200000000000000 (pow.f64 x 3) 1))
(fma.f64 816975620345989/16200000000000000 (pow.f64 x 3) (fma.f64 99229/300000 x (fma.f64 -8502094441/90000000000 (*.f64 x x) 1)))
(fma.f64 x (fma.f64 x -8502094441/90000000000 99229/300000) (fma.f64 816975620345989/16200000000000000 (pow.f64 x 3) 1))
1
(+.f64 1 (*.f64 99229/150000 x))
(+.f64 1 (*.f64 x 99229/150000))
(fma.f64 x 99229/150000 1)
(+.f64 1 (+.f64 (*.f64 99229/150000 x) (*.f64 -7157794441/90000000000 (pow.f64 x 2))))
(+.f64 1 (fma.f64 99229/150000 x (*.f64 (*.f64 x x) -7157794441/90000000000)))
(+.f64 (fma.f64 x 99229/150000 1) (*.f64 x (*.f64 x -7157794441/90000000000)))
(fma.f64 x 99229/150000 (fma.f64 x (*.f64 x -7157794441/90000000000) 1))
(fma.f64 x (fma.f64 x -7157794441/90000000000 99229/150000) 1)
(+.f64 (*.f64 776957556935989/20250000000000000 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 99229/150000 x) (*.f64 -7157794441/90000000000 (pow.f64 x 2)))))
(fma.f64 776957556935989/20250000000000000 (pow.f64 x 3) (+.f64 1 (fma.f64 99229/150000 x (*.f64 (*.f64 x x) -7157794441/90000000000))))
(+.f64 (fma.f64 x 99229/150000 (*.f64 x (*.f64 x -7157794441/90000000000))) (fma.f64 (pow.f64 x 3) 776957556935989/20250000000000000 1))
(fma.f64 (pow.f64 x 3) 776957556935989/20250000000000000 (fma.f64 x 99229/150000 (fma.f64 x (*.f64 x -7157794441/90000000000) 1)))
(fma.f64 x (fma.f64 x -7157794441/90000000000 99229/150000) (fma.f64 (pow.f64 x 3) 776957556935989/20250000000000000 1))
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -20191289437/10000000000))
(fma.f64 x -20191289437/10000000000 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 x -20191289437/10000000000)))
(fma.f64 (*.f64 x x) 1900161040244073/1000000000000000 (fma.f64 x -20191289437/10000000000 230753/100000))
(fma.f64 x -20191289437/10000000000 (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 (pow.f64 x 3) -179503363065659419717/100000000000000000000))))
(+.f64 (fma.f64 x -20191289437/10000000000 (*.f64 (pow.f64 x 3) -179503363065659419717/100000000000000000000)) (fma.f64 (*.f64 x x) 1900161040244073/1000000000000000 230753/100000))
(fma.f64 x (*.f64 x 1900161040244073/1000000000000000) (fma.f64 x -20191289437/10000000000 (fma.f64 (pow.f64 x 3) -179503363065659419717/100000000000000000000 230753/100000)))
(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) (fma.f64 (pow.f64 x 3) -179503363065659419717/100000000000000000000 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 (*.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 27061/4481 x) (-.f64 (/.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 -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 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.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 (*.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 27061/4481 x) (-.f64 (/.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 -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 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.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)))))
1
(+.f64 1 (*.f64 -99229/150000 x))
(+.f64 1 (*.f64 x -99229/150000))
(fma.f64 x -99229/150000 1)
(+.f64 1 (+.f64 (*.f64 -99229/150000 x) (*.f64 9308674441/18000000000 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -99229/150000 x (*.f64 (*.f64 x x) 9308674441/18000000000)))
(+.f64 (fma.f64 x -99229/150000 1) (*.f64 x (*.f64 x 9308674441/18000000000)))
(fma.f64 x -99229/150000 (fma.f64 x (*.f64 x 9308674441/18000000000) 1))
(fma.f64 x (fma.f64 x 9308674441/18000000000 -99229/150000) 1)
(+.f64 1 (+.f64 (*.f64 -877002715460989/2025000000000000 (pow.f64 x 3)) (+.f64 (*.f64 -99229/150000 x) (*.f64 9308674441/18000000000 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -877002715460989/2025000000000000 (pow.f64 x 3) (fma.f64 -99229/150000 x (*.f64 (*.f64 x x) 9308674441/18000000000))))
(+.f64 1 (fma.f64 (pow.f64 x 3) -877002715460989/2025000000000000 (fma.f64 x -99229/150000 (*.f64 x (*.f64 x 9308674441/18000000000)))))
(fma.f64 (pow.f64 x 3) -877002715460989/2025000000000000 (fma.f64 x -99229/150000 (fma.f64 x (*.f64 x 9308674441/18000000000) 1)))
(fma.f64 x (*.f64 x (fma.f64 x -877002715460989/2025000000000000 9308674441/18000000000)) (fma.f64 x -99229/150000 1))

localize4.0ms (0.1%)

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)

rewrite47.0ms (1.1%)

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)))))

simplify7.0ms (0.2%)

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 27061/4481 x))
0.3b
(/.f64 27061/4481 x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

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

rewrite55.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
670×pow1_binary64
633×add-log-exp_binary64
633×log1p-expm1-u_binary64
633×expm1-log1p-u_binary64
621×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
111911
2169011
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 27061/4481 x)
(-.f64 x (/.f64 27061/4481 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 27061/4481 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 27061/4481 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 27061/4481 x)) (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2) (cbrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 27061/4481 x)) (sqrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -27061/4481 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 27061/4481)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 27061/4481 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4481/27061) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 732297721/20079361 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 27061/4481 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 -27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -27061/4481 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -27061/4481 x)) (fma.f64 (neg.f64 (/.f64 1 x)) 27061/4481 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -27061/4481 x)) (fma.f64 (/.f64 -27061/4481 x) 1 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -27061/4481 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 27061/4481 x))) (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2) (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -27061/4481 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 27061/4481 x))) (sqrt.f64 (/.f64 27061/4481 x)) (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -27061/4481 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 -27061/4481 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 -27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 -27061/4481 x))) (sqrt.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (/.f64 19816708627981/89975616641 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 27061/4481 x) (+.f64 x (/.f64 27061/4481 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (/.f64 732297721/20079361 (*.f64 x x))) (/.f64 1 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 27061/4481 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 27061/4481 x) (+.f64 x (/.f64 27061/4481 x)))) (-.f64 (pow.f64 x 3) (/.f64 19816708627981/89975616641 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (*.f64 x x) (/.f64 732297721/20079361 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (/.f64 19816708627981/89975616641 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 27061/4481 x) (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (/.f64 732297721/20079361 (*.f64 x x))) (+.f64 x (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 19816708627981/89975616641 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 27061/4481 x) (+.f64 x (/.f64 27061/4481 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 732297721/20079361 (*.f64 x x)))) (neg.f64 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -27061/4481 x) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 -27061/4481 x) (/.f64 -27061/4481 x)) (*.f64 x (/.f64 -27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 -27061/4481 x) (/.f64 -27061/4481 x))) (-.f64 x (/.f64 -27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 -27061/4481 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 -27061/4481 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 -27061/4481 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 -27061/4481 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -27061/4481 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -27061/4481 x))))))

simplify24.0ms (0.6%)

Algorithm
egg-herbie
Rules
66×fma-neg_binary64
65×fma-def_binary64
30×associate-/r*_binary64
26×cancel-sign-sub-inv_binary64
23×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0969
11969
23069
34769
46369
58869
613569
718869
824569
932869
1046169
1148669
1250469
Stop Event
saturated
Counts
68 → 59
Calls
Call 1
Inputs
(/.f64 -27061/4481 x)
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
x
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
x
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
Outputs
(/.f64 -27061/4481 x)
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
x
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
x
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0.1%)

Counts
3 → 15
Calls

9 calls:

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

rewrite77.0ms (1.9%)

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 -20191289437/10000000000 x 230753/100000)) (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (neg.f64 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 20191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 (neg.f64 x) -20191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 -1 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 2)) (cbrt.f64 (*.f64 -20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 (neg.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x))) (sqrt.f64 (*.f64 -20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 2) (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) (sqrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2)) (/.f64 1 (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3)) (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2)) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))) (neg.f64 (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -230753/100000) 3) (pow.f64 (*.f64 -20191289437/10000000000 x) 3)) (+.f64 (*.f64 (+.f64 x -230753/100000) (+.f64 x -230753/100000)) (+.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 (+.f64 x -230753/100000) (*.f64 -20191289437/10000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) (*.f64 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x -230753/100000) (+.f64 x -230753/100000)) (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) (+.f64 (+.f64 x -230753/100000) (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))) (-.f64 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -20191289437/10000000000 x 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 53246947009/10000000000 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))) (/.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -20191289437/10000000000 x 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2) (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3)) (/.f64 1 (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 -4659200611456061/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) (/.f64 1 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 -4659200611456061/1000000000000000 x))) (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x)) (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3)) (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 -4659200611456061/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3)) (+.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (-.f64 53246947009/10000000000 (*.f64 -4659200611456061/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) (+.f64 230753/100000 (*.f64 20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3))) (neg.f64 (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 -4659200611456061/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2))) (neg.f64 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -20191289437/10000000000 x 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -20191289437/10000000000 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -20191289437/10000000000 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 2) (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x)) (sqrt.f64 (*.f64 -20191289437/10000000000 x)) 230753/100000)))))

simplify10.0ms (0.2%)

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)

localize19.0ms (0.5%)

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)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))
0.0ms
x
@inf
(*.f64 x 99229/100000)
0.0ms
x
@-inf
(*.f64 x 99229/100000)
0.0ms
x
@inf
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))
0.0ms
x
@-inf
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000)))

rewrite73.0ms (1.8%)

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
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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) 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(#(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)))))

simplify56.0ms (1.3%)

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)

eval260.0ms (6.3%)

Compiler

Compiled 9875 to 7674 computations (22.3% saved)

prune216.0ms (5.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New5086514
Fresh000
Picked011
Done325
Total5119520
Error
0b
Counts
520 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
25.8b
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
32.3b
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
30.7b
-230753/100000
28.0b
(-.f64 x 27061/99229)
32.0b
x
0.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
1.0b
(-.f64 x 230753/100000)
0.6b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
33.2b
(-.f64 x (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))))
Compiler

Compiled 72 to 55 computations (23.6% saved)

localize3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (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)

series7.0ms (0.2%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
1.0ms
x
@0
(/.f64 20191289437/9846394441 x)
1.0ms
x
@inf
(/.f64 20191289437/9846394441 x)
1.0ms
x
@-inf
(/.f64 20191289437/9846394441 x)
0.0ms
x
@0
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))

rewrite97.0ms (2.3%)

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 (cbrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 2) 3) (cbrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 20191289437/9846394441) 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 8231749822918346830573921576453/954622548060541040474968308121 1/3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 407688169128707776969/96951483487755702481 (pow.f64 x -2)) 20191289437/9846394441) 1/3) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 20191289437/9846394441 x) (cbrt.f64 (/.f64 20191289437/9846394441 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 20191289437/9846394441 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9846394441/20191289437)) 2) -1) (cbrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 20191289437/9846394441 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 407688169128707776969/96951483487755702481 (pow.f64 x -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9846394441/20191289437) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 9846394441/20191289437) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 407688169128707776969/96951483487755702481 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 20191289437/9846394441 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 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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 (1.1%)

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))

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))
0.0b
(-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
0.1b
(/.f64 20191289437/9846394441 x)
0.7b
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
Compiler

Compiled 45 to 28 computations (37.8% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite118.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
687×prod-diff_binary64
499×log-prod_binary64
306×fma-def_binary64
219×log-div_binary64
214×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
124328
2343128
Stop Event
node limit
Counts
3 → 248
Calls
Call 1
Inputs
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x 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 -2019128943700000/977047873985989 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2019128943700000/977047873985989 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))) (cbrt.f64 (/.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x 4))) (cbrt.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2019128943700000/977047873985989 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -2019128943700000/977047873985989)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2019128943700000/977047873985989 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 (pow.f64 x -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -977047873985989/2019128943700000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 x x) -977047873985989/2019128943700000) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2019128943700000/977047873985989) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) (+.f64 27061/99229 (neg.f64 (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) (*.f64 (+.f64 27061/99229 (neg.f64 (/.f64 -20191289437/9846394441 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 20191289437/9846394441 x) (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) 27061/99229))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 20191289437/9846394441 x) (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) 27061/99229)) (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 +.f64 (+.f64 (/.f64 20191289437/9846394441 x) (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) 27061/99229)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 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simplify60.0ms (1.5%)

Algorithm
egg-herbie
Rules
749×distribute-neg-frac_binary64
598×associate-/l/_binary64
548×fma-neg_binary64
434×unswap-sqr_binary64
423×associate-*l/_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
021303
149285
2101285
3200285
4432285
51296285
64795273
Stop Event
node limit
Counts
284 → 260
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 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))))
(/.f64 -20191289437/9846394441 x)
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
-27061/99229
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
-27061/99229
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
Outputs
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 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 -2019128943700000/977047873985989 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441))
(*.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441))
(-.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 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229))
(+.f64 (*.f64 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229)
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229)
(-.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 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229))
(+.f64 (*.f64 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229)
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229)
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)
(-.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 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229))
(+.f64 (*.f64 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229)
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229)
(-.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 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229))
(+.f64 (*.f64 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229)
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229)
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)
(-.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 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229))
(+.f64 (*.f64 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229)
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229)
(-.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 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 27061/99229 (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229))
(+.f64 (*.f64 (/.f64 -1 x) (-.f64 (/.f64 2019128943700000/977047873985989 x) 20191289437/9846394441)) 27061/99229)
(fma.f64 (/.f64 -1 x) (+.f64 (/.f64 2019128943700000/977047873985989 x) -20191289437/9846394441) 27061/99229)
(/.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))
(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))
(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))
-27061/99229
(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))
(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))
(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))
-27061/99229
(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))
(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))
(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))

localize6.0ms (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)

series2.0ms (0.1%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 30191289437/10000000000 x)
0.0ms
x
@inf
(*.f64 30191289437/10000000000 x)
0.0ms
x
@-inf
(*.f64 30191289437/10000000000 x)
0.0ms
x
@inf
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
0.0ms
x
@-inf
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)

rewrite68.0ms (1.6%)

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)))))

simplify9.0ms (0.2%)

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)

eval312.0ms (7.5%)

Compiler

Compiled 12814 to 10091 computations (21.3% saved)

prune95.0ms (2.3%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New5962598
Fresh112
Picked011
Done156
Total5989607
Error
0b
Counts
607 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
30.7b
-230753/100000
28.0b
(-.f64 x 27061/99229)
32.0b
x
0.0b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
25.8b
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
32.1b
(-.f64 x (/.f64 20191289437/9846394441 x))
1.0b
(-.f64 x 230753/100000)
0.6b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
33.2b
(-.f64 x (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))))
Compiler

Compiled 70 to 53 computations (24.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 x (/.f64 20191289437/9846394441 x))
0.0ms
x
@inf
(-.f64 x (/.f64 20191289437/9846394441 x))
0.0ms
x
@-inf
(-.f64 x (/.f64 20191289437/9846394441 x))

rewrite65.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
670×pow1_binary64
633×add-log-exp_binary64
633×log1p-expm1-u_binary64
633×expm1-log1p-u_binary64
621×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11197
216907
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 x (/.f64 20191289437/9846394441 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 -20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -20191289437/9846394441 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) (fma.f64 (neg.f64 (/.f64 1 x)) 20191289437/9846394441 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) (fma.f64 (/.f64 -20191289437/9846394441 x) 1 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2) (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x))) (sqrt.f64 (/.f64 20191289437/9846394441 x)) (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -20191289437/9846394441 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 -20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))) (sqrt.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (/.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 20191289437/9846394441 x) (+.f64 x (/.f64 20191289437/9846394441 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x))) (/.f64 1 (+.f64 x (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 20191289437/9846394441 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 20191289437/9846394441 x) (+.f64 x (/.f64 20191289437/9846394441 x)))) (-.f64 (pow.f64 x 3) (/.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 20191289437/9846394441 x)) (-.f64 (*.f64 x x) (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (/.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 20191289437/9846394441 x) (+.f64 x (/.f64 20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x))) (+.f64 x (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 20191289437/9846394441 x) (+.f64 x (/.f64 20191289437/9846394441 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)))) (neg.f64 (+.f64 x (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -20191289437/9846394441 x) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 -20191289437/9846394441 x) (/.f64 -20191289437/9846394441 x)) (*.f64 x (/.f64 -20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 -20191289437/9846394441 x) (/.f64 -20191289437/9846394441 x))) (-.f64 x (/.f64 -20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -20191289437/9846394441 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -20191289437/9846394441 x))))))

simplify26.0ms (0.6%)

Algorithm
egg-herbie
Rules
66×fma-neg_binary64
65×fma-def_binary64
30×associate-/r*_binary64
26×cancel-sign-sub-inv_binary64
23×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0969
11969
23069
34769
46369
58869
613569
718869
824569
932869
1046169
1148669
1250469
Stop Event
saturated
Counts
48 → 39
Calls
Call 1
Inputs
(/.f64 -20191289437/9846394441 x)
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
x
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
x
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
Outputs
(/.f64 -20191289437/9846394441 x)
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 x (/.f64 20191289437/9846394441 x))
(+.f64 x (/.f64 -20191289437/9846394441 x))
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 x (/.f64 20191289437/9846394441 x))
(+.f64 x (/.f64 -20191289437/9846394441 x))
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 x (/.f64 20191289437/9846394441 x))
(+.f64 x (/.f64 -20191289437/9846394441 x))
x
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 x (/.f64 20191289437/9846394441 x))
(+.f64 x (/.f64 -20191289437/9846394441 x))
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 x (/.f64 20191289437/9846394441 x))
(+.f64 x (/.f64 -20191289437/9846394441 x))
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 x (/.f64 20191289437/9846394441 x))
(+.f64 x (/.f64 -20191289437/9846394441 x))
x
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 x (/.f64 20191289437/9846394441 x))
(+.f64 x (/.f64 -20191289437/9846394441 x))
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 x (/.f64 20191289437/9846394441 x))
(+.f64 x (/.f64 -20191289437/9846394441 x))
(-.f64 x (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 x (/.f64 20191289437/9846394441 x))
(+.f64 x (/.f64 -20191289437/9846394441 x))

eval24.0ms (0.6%)

Compiler

Compiled 901 to 649 computations (28% saved)

prune16.0ms (0.4%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New80181
Fresh112
Picked011
Done066
Total81990
Error
0b
Counts
90 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
30.7b
-230753/100000
28.0b
(-.f64 x 27061/99229)
0.6b
(-.f64 x (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))))
32.0b
x
25.8b
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
32.1b
(-.f64 x (/.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))))
1.0b
(-.f64 x 230753/100000)
33.2b
(-.f64 x (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))))
Compiler

Compiled 70 to 53 computations (24.3% saved)

regimes18.0ms (0.4%)

Counts
15 → 1
Calls
Call 1
Inputs
x
x
-230753/100000
x
(-.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 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 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 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
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:

8.0ms
x
6.0ms
(-.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 131 to 95 computations (27.5% saved)

regimes12.0ms (0.3%)

Counts
13 → 1
Calls
Call 1
Inputs
x
x
-230753/100000
x
(-.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 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 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:

7.0ms
x
Results
ErrorSegmentsBranch
0.6b1x
Compiler

Compiled 68 to 46 computations (32.4% saved)

regimes11.0ms (0.3%)

Counts
12 → 1
Calls
Call 1
Inputs
x
x
-230753/100000
x
(-.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 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 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:

9.0ms
x
Results
ErrorSegmentsBranch
1.0b1x
Compiler

Compiled 55 to 36 computations (34.5% saved)

regimes14.0ms (0.3%)

Counts
5 → 3
Calls
Call 1
Inputs
x
x
-230753/100000
x
(-.f64 x 27061/99229)
Outputs
x
-230753/100000
x
Calls

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
0.8b3x
Compiler

Compiled 10 to 5 computations (50% saved)

bsearch45.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
8.954158134575105e-13
4.15177225914902
22.0ms
-6736524540.664547
-0.00011080884447464216
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
32.0b1x
Compiler

Compiled 5 to 2 computations (60% saved)

simplify10.0ms (0.2%)

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 -1765939489187967/262144) x (if (<=.f64 x 4433884349153365/4951760157141521099596496896) -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 -1765939489187967/262144) x (if (<=.f64 x 4433884349153365/4951760157141521099596496896) -230753/100000 x))
x
Compiler

Compiled 50 to 37 computations (26% saved)

soundness0.0ms (0%)

end41.0ms (1%)

Compiler

Compiled 46 to 33 computations (28.3% saved)

Profiling

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