Details

Time bar (total: 4.4s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.8%0.1%0.1%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample766.0ms (17.2%)

Results
750.0ms8251×body256valid
1.0ms3×body1024valid
0.0ms5×body256invalid
0.0ms2×body512valid

preprocess17.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1155
2165
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
Outputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(fma.f64 841/108 x 4/29)
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1155
2165
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
Outputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(fma.f64 841/108 x 4/29)

eval1.0ms (0%)

Compiler

Compiled 14 to 12 computations (14.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
▶0.1b
(fma.f64 841/108 x 4/29)
Compiler

Compiled 15 to 13 computations (13.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 841/108 x 4/29)
✓0.1b
(fma.f64 841/108 x 4/29)
Compiler

Compiled 8 to 6 computations (25% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(fma.f64 841/108 x 4/29)
1.0ms
x
@inf
(fma.f64 841/108 x 4/29)
0.0ms
x
@0
(fma.f64 841/108 x 4/29)

rewrite41.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
434×pow1_binary64
430×add-sqr-sqrt_binary64
417×*-un-lft-identity_binary64
407×add-log-exp_binary64
407×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
11025
210725
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(fma.f64 841/108 x 4/29)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389) (fma.f64 (*.f64 841/108 x) (*.f64 841/108 x) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 841/108 x) (*.f64 841/108 x) -16/841) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))))

simplify8.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0672
1854
21054
Stop Event
1×saturated
Counts
36 → 27
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 841 108) x)
0.0b
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
✓0.0b
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
✓0.2b
(*.f64 (/.f64 841 108) x)
Compiler

Compiled 26 to 23 computations (11.5% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (/.f64 841 108) x)
0.0ms
x
@inf
(*.f64 (/.f64 841 108) x)
0.0ms
x
@0
(*.f64 (/.f64 841 108) x)
0.0ms
x
@inf
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
0.0ms
x
@-inf
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

rewrite51.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
901×pow1_binary64
858×add-log-exp_binary64
858×log1p-expm1-u_binary64
858×expm1-log1p-u_binary64
849×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129
12189
222629
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 (/.f64 841 108) x)
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))))

simplify37.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
06120
18102
210102
Stop Event
1×saturated
Counts
67 → 46
Calls
Call 1
Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
Outputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)

eval25.0ms (0.6%)

Compiler

Compiled 691 to 562 computations (18.7% saved)

prune37.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New631073
Fresh000
Picked101
Done011
Total641175
Error
0.0b
Counts
75 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶12.1b
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
▶30.9b
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
18.6b
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 x 29/27))))
22.9b
(+.f64 (sqrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 4 29))
▶34.2b
(*.f64 841/108 x)
0.1b
(+.f64 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1) (/.f64 4 29))
1.8b
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
▶0.1b
(+.f64 4/29 (*.f64 841/108 x))
29.9b
4/29
▶12.1b
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
✓0.1b
(fma.f64 841/108 x 4/29)
Compiler

Compiled 221 to 184 computations (16.7% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 841/108 x)
0.0b
(+.f64 4/29 (*.f64 841/108 x))
✓0.0b
(+.f64 4/29 (*.f64 841/108 x))
✓0.2b
(*.f64 841/108 x)
Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 841/108 x)
0.0ms
x
@inf
(+.f64 4/29 (*.f64 841/108 x))
0.0ms
x
@inf
(*.f64 841/108 x)
0.0ms
x
@0
(+.f64 4/29 (*.f64 841/108 x))
0.0ms
x
@-inf
(+.f64 4/29 (*.f64 841/108 x))

rewrite63.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0611
11329
216059
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 841/108 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 841/108) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (*.f64 (*.f64 x x) 707281/11664) (+.f64 4/29 (*.f64 -841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3)) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 1 (+.f64 4/29 (*.f64 -841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))) (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3)) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 29/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (+.f64 4/29 (*.f64 -841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (neg.f64 (+.f64 4/29 (*.f64 -841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 707281/11664) 16/841) (-.f64 (*.f64 841/108 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))))

simplify7.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
059
169
Stop Event
1×saturated
Counts
46 → 45
Calls
Call 1
Inputs
4/29
(*.f64 841/108 x)
(*.f64 841/108 x)
Outputs
4/29
(*.f64 841/108 x)
(*.f64 841/108 x)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 841/108 x)
0.2b
(*.f64 841/108 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize16.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x x) 707281/11664)
0.2b
(*.f64 841/108 x)
0.0b
(-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))
0.0b
(-.f64 4/29 (*.f64 841/108 x))
✓0.0b
(-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))
0.2b
(*.f64 841/108 x)
✓0.2b
(*.f64 (*.f64 x x) 707281/11664)
✓11.3b
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
Compiler

Compiled 42 to 27 computations (35.7% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
1.0ms
x
@inf
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
0.0ms
x
@inf
(*.f64 (*.f64 x x) 707281/11664)
0.0ms
x
@0
(*.f64 (*.f64 x x) 707281/11664)
0.0ms
x
@-inf
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

rewrite123.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
624×log-prod_binary64
548×prod-diff_binary64
244×fma-def_binary64
226×pow1/3_binary64
226×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01236
128024
2378620
Stop Event
1×node limit
Counts
3 → 246
Calls
Call 1
Inputs
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
(*.f64 (*.f64 x x) 707281/11664)
(-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 841/108 4/29) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))))) (sqrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 841/108 4/29) (fma.f64 (neg.f64 (/.f64 707281/11664 (sqrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -841/108 4/29))) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 841/108 4/29) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 707281/11664 (sqrt.f64 (fma.f64 x -841/108 4/29))) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x 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707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (sqrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (*.f64 (*.f64 x x) 707281/11664)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x -841/108 4/29))) (*.f64 (*.f64 x x) 707281/11664) (*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (*.f64 (*.f64 x x) 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 16/841 (-.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (*.f64 (*.f64 x x) 707281/11664)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x -841/108 4/29))) (*.f64 (*.f64 x x) 707281/11664) (*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (*.f64 (*.f64 x x) 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 16/841 (fma.f64 (*.f64 x x) -707281/11664 16/841)) 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simplify140.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
2020×unswap-sqr_binary64
1104×sqr-pow_binary64
639×fabs-mul_binary64
628×pow-sqr_binary64
611×cube-prod_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014243
125225
243225
382225
4198225
5587225
6803225
71217225
81317225
91452225
101621225
111866225
122179225
132549225
143008225
153591225
164301225
175163225
185591225
195903225
206209225
216285225
226319225
Stop Event
1×node limit
Counts
282 → 256
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
16/841
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
16/841
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 (*.f64 x x) -707281/11664)
(*.f64 x (*.f64 x -707281/11664))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 (*.f64 x x) -707281/11664)
(*.f64 x (*.f64 x -707281/11664))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)

localize19.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x x) 707281/11664)
0.2b
(/.f64 1 (fma.f64 841/108 x -4/29))
0.1b
(fma.f64 841/108 x -4/29)
0.0b
(+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)
✓0.1b
(fma.f64 841/108 x -4/29)
✓0.2b
(/.f64 1 (fma.f64 841/108 x -4/29))
0.2b
(*.f64 (*.f64 x x) 707281/11664)
✓11.2b
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
Compiler

Compiled 46 to 31 computations (32.6% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
1.0ms
x
@inf
(/.f64 1 (fma.f64 841/108 x -4/29))
0.0ms
x
@inf
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
0.0ms
x
@-inf
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
0.0ms
x
@-inf
(/.f64 1 (fma.f64 841/108 x -4/29))

rewrite72.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
534×log-prod_binary64
319×pow-prod-down_binary64
312×pow2_binary64
219×prod-diff_binary64
218×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01328
127828
2326028
Stop Event
1×node limit
Counts
3 → 126
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(/.f64 1 (fma.f64 841/108 x -4/29))
(fma.f64 841/108 x -4/29)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (/.f64 (fma.f64 x 841/108 -4/29) (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (*.f64 (fma.f64 x 841/108 -4/29) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (*.f64 (*.f64 x x) -841/729))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (*.f64 (fma.f64 x 841/108 -4/29) (fma.f64 x (*.f64 x 707281/11664) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (neg.f64 (fma.f64 x 841/108 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) 1) (*.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (*.f64 (*.f64 x x) -841/729)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -4/29 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 841/108 -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 841/108) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 841/108) 1) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 841/108 -4/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 841/108 -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 841/108 -4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 841/108 -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 841/108 -4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 841/108 -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 841/108 -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (cbrt.f64 (fma.f64 x 841/108 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (sqrt.f64 (fma.f64 x 841/108 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x 841/108 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 841/108 -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (pow.f64 (fma.f64 x 841/108 -4/29) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x 841/108 -4/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) -64/24389) (fma.f64 x (*.f64 x 707281/11664) (-.f64 16/841 (*.f64 (*.f64 x 841/108) -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 841/108 -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 841/108 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 841/108 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 841/108 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 -4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 841/108 -4/29))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 841/108 -4/29)))))))

simplify49.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
738×associate-*l*_binary64
703×fma-neg_binary64
654×distribute-rgt-neg-in_binary64
604×associate-/r*_binary64
573×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
046307
1107287
2227285
3569279
41461276
56171276
Stop Event
1×node limit
Counts
162 → 147
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
-29/4
(-.f64 (*.f64 -707281/1728 x) 29/4)
(-.f64 (+.f64 (*.f64 -17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x)) 29/4)
(-.f64 (+.f64 (*.f64 -17249876309/746496 (pow.f64 x 2)) (+.f64 (*.f64 -420707233300201/322486272 (pow.f64 x 3)) (*.f64 -707281/1728 x))) 29/4)
(/.f64 108/841 x)
(+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (*.f64 108/841 (/.f64 1 x)))
(+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3))))))
(/.f64 108/841 x)
(+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (*.f64 108/841 (/.f64 1 x)))
(+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3))))))
-4/29
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
-29/4
(-.f64 (*.f64 -707281/1728 x) 29/4)
(fma.f64 -707281/1728 x -29/4)
(fma.f64 x -707281/1728 -29/4)
(-.f64 (+.f64 (*.f64 -17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x)) 29/4)
(+.f64 (*.f64 -17249876309/746496 (*.f64 x x)) (fma.f64 -707281/1728 x -29/4))
(fma.f64 -17249876309/746496 (*.f64 x x) (fma.f64 x -707281/1728 -29/4))
(fma.f64 x (*.f64 x -17249876309/746496) (fma.f64 x -707281/1728 -29/4))
(fma.f64 x (fma.f64 x -17249876309/746496 -707281/1728) -29/4)
(-.f64 (+.f64 (*.f64 -17249876309/746496 (pow.f64 x 2)) (+.f64 (*.f64 -420707233300201/322486272 (pow.f64 x 3)) (*.f64 -707281/1728 x))) 29/4)
(+.f64 (fma.f64 -17249876309/746496 (*.f64 x x) (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (*.f64 x -707281/1728))) -29/4)
(+.f64 (fma.f64 -17249876309/746496 (*.f64 x x) (fma.f64 x -707281/1728 (*.f64 -420707233300201/322486272 (pow.f64 x 3)))) -29/4)
(fma.f64 x (*.f64 x -17249876309/746496) (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 x -707281/1728 -29/4)))
(fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 x (fma.f64 x -17249876309/746496 -707281/1728) -29/4))
(fma.f64 x (fma.f64 x (fma.f64 x -420707233300201/322486272 -17249876309/746496) -707281/1728) -29/4)
(/.f64 108/841 x)
(+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (*.f64 108/841 (/.f64 1 x)))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 108/841 x))
(+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))))
(+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3)))) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))))
(/.f64 108/841 x)
(+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (*.f64 108/841 (/.f64 1 x)))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 108/841 x))
(+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))))
(+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3)))) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))))
-4/29
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)

localize15.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
0.2b
(*.f64 841/108 x)
0.0b
(sqrt.f64 (*.f64 841/108 x))
0.0b
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
✓0.0b
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
✓0.0b
(sqrt.f64 (*.f64 841/108 x))
0.2b
(*.f64 841/108 x)
✓0.2b
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
Compiler

Compiled 32 to 27 computations (15.6% saved)

series11.0ms (0.3%)

Counts
3 → 1
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
2.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
1.0ms
x
@-inf
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))

rewrite59.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
910×pow1_binary64
863×add-log-exp_binary64
862×log1p-expm1-u_binary64
862×expm1-log1p-u_binary64
850×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01217
124015
2234915
Stop Event
1×node limit
Counts
3 → 79
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(sqrt.f64 (*.f64 841/108 x))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 841/108 x) 1/4) (*.f64 (pow.f64 (*.f64 841/108 x) 1/4) (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 841/108) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (pow.f64 (*.f64 841/108 x) 1/4)) (pow.f64 (*.f64 841/108 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 841/108) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 841/108)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 841/108) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (cbrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 841/108 x) 1/4) (pow.f64 (*.f64 841/108 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 841/108) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 841/108 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 841/108 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 841/108 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 841/108 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3)) (/.f64 1 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3)) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (pow.f64 (*.f64 841/108 x) 3))) (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))))

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
Stop Event
1×saturated
Counts
80 → 80
Calls
Call 1
Inputs
4/29
Outputs
4/29

eval444.0ms (10%)

Compiler

Compiled 15342 to 11882 computations (22.6% saved)

prune83.0ms (1.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New56910579
Fresh505
Picked101
Done325
Total57812590
Error
0b
Counts
590 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
46.1b
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
▶0.1b
(pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) -1)
▶49.5b
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
▶21.3b
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) -707281/11664) (*.f64 (*.f64 x x) -707281/11664))) (-.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
✓34.2b
(*.f64 841/108 x)
55.2b
(sqrt.f64 (*.f64 (*.f64 x x) 707281/11664))
12.1b
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (+.f64 -4/29 (*.f64 x 841/108))))
29.9b
4/29
✓0.1b
(+.f64 4/29 (*.f64 841/108 x))
0.3b
(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))
▶0.1b
(+.f64 4/29 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1))
▶12.1b
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
Compiler

Compiled 240 to 190 computations (20.8% saved)

localize12.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) -1)
0.1b
(/.f64 1 (fma.f64 x 841/108 4/29))
0.1b
(fma.f64 x 841/108 4/29)
✓0.1b
(fma.f64 x 841/108 4/29)
✓0.1b
(/.f64 1 (fma.f64 x 841/108 4/29))
✓0.2b
(pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) -1)
Compiler

Compiled 24 to 20 computations (16.7% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) -1)
1.0ms
x
@-inf
(pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) -1)
1.0ms
x
@inf
(pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) -1)
0.0ms
x
@inf
(/.f64 1 (fma.f64 x 841/108 4/29))
0.0ms
x
@0
(/.f64 1 (fma.f64 x 841/108 4/29))

rewrite54.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
656×pow1_binary64
619×add-log-exp_binary64
617×log1p-expm1-u_binary64
617×expm1-log1p-u_binary64
608×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0930
118218
2189418
Stop Event
1×node limit
Counts
3 → 83
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) -1)
(/.f64 1 (fma.f64 x 841/108 4/29))
(fma.f64 x 841/108 4/29)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 841/108) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 841/108 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 841/108 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 841/108 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 2) (cbrt.f64 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) (sqrt.f64 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 4/29))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 841/108 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 1 (fma.f64 x 841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) (pow.f64 (fma.f64 x 841/108 4/29) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x 841/108 4/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (*.f64 (*.f64 x 841/108) (*.f64 x 841/108)) (-.f64 16/841 (*.f64 (*.f64 x 841/108) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 841/108) (*.f64 x 841/108)) 16/841) (-.f64 (*.f64 x 841/108) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2))) (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 841/108 4/29)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 x 841/108 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x 841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 4/29))) (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 841/108 4/29) -1/2) (pow.f64 (fma.f64 x 841/108 4/29) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) -1) (pow.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 841/108 4/29) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 4/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x 841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 841/108 4/29))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 841/108) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 841/108 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 841/108 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 841/108 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 2) (cbrt.f64 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) (sqrt.f64 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 4/29))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 841/108 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 1 (fma.f64 x 841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) (pow.f64 (fma.f64 x 841/108 4/29) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x 841/108 4/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 841/108) 3) 64/24389) (+.f64 (*.f64 (*.f64 x 841/108) (*.f64 x 841/108)) (-.f64 16/841 (*.f64 (*.f64 x 841/108) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 841/108) (*.f64 x 841/108)) 16/841) (-.f64 (*.f64 x 841/108) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2))) (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 841/108 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 841/108 4/29)))))))

simplify53.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
786×fma-def_binary64
749×distribute-neg-frac_binary64
674×associate-*r*_binary64
417×times-frac_binary64
286×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
043327
1108289
2257285
3675279
41928276
56756276
Stop Event
1×node limit
Counts
119 → 73
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(+.f64 29/4 (+.f64 (*.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x)))
(+.f64 29/4 (+.f64 (*.f64 -420707233300201/322486272 (pow.f64 x 3)) (+.f64 (*.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x))))
(/.f64 108/841 x)
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(/.f64 108/841 x)
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(+.f64 29/4 (*.f64 x -707281/1728))
(fma.f64 x -707281/1728 29/4)
(+.f64 29/4 (+.f64 (*.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x)))
(+.f64 29/4 (fma.f64 17249876309/746496 (*.f64 x x) (*.f64 x -707281/1728)))
(+.f64 29/4 (fma.f64 x -707281/1728 (*.f64 17249876309/746496 (*.f64 x x))))
(fma.f64 17249876309/746496 (*.f64 x x) (fma.f64 x -707281/1728 29/4))
(fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) 29/4)
(+.f64 29/4 (+.f64 (*.f64 -420707233300201/322486272 (pow.f64 x 3)) (+.f64 (*.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x))))
(+.f64 29/4 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 17249876309/746496 (*.f64 x x) (*.f64 x -707281/1728))))
(+.f64 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (*.f64 17249876309/746496 (*.f64 x x))) (fma.f64 x -707281/1728 29/4))
(fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 17249876309/746496 (*.f64 x x) (fma.f64 x -707281/1728 29/4)))
(fma.f64 x (fma.f64 x 17249876309/746496 -707281/1728) (fma.f64 -420707233300201/322486272 (pow.f64 x 3) 29/4))
(fma.f64 x (fma.f64 x (fma.f64 x -420707233300201/322486272 17249876309/746496) -707281/1728) 29/4)
(/.f64 108/841 x)
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))
(-.f64 (/.f64 108/841 x) (/.f64 (/.f64 46656/20511149 x) x))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 -46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 108/841 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 20155392/500246412961 x) 46656/20511149)))
(+.f64 (/.f64 108/841 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 20155392/500246412961 x) -46656/20511149)))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))) (/.f64 46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 46656/20511149 x) x) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 -46656/20511149 (*.f64 x x)) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 -8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 -46656/20511149 (*.f64 x x)) (-.f64 (/.f64 108/841 x) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 -46656/20511149 (*.f64 x x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 20155392/500246412961 (/.f64 -8707129344/12200509765705829 x)))))
(/.f64 108/841 x)
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))
(-.f64 (/.f64 108/841 x) (/.f64 (/.f64 46656/20511149 x) x))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 -46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 108/841 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 20155392/500246412961 x) 46656/20511149)))
(+.f64 (/.f64 108/841 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 20155392/500246412961 x) -46656/20511149)))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))) (/.f64 46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 46656/20511149 x) x) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 -46656/20511149 (*.f64 x x)) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 -8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 -46656/20511149 (*.f64 x x)) (-.f64 (/.f64 108/841 x) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 -46656/20511149 (*.f64 x x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 20155392/500246412961 (/.f64 -8707129344/12200509765705829 x)))))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)

localize13.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
3.6b
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
0.2b
(*.f64 841/108 x)
0.0b
(+.f64 4/29 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1))
✓0.0b
(+.f64 4/29 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1))
0.2b
(*.f64 841/108 x)
✓3.6b
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
Compiler

Compiled 29 to 24 computations (17.2% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
0.0ms
x
@0
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
0.0ms
x
@-inf
(+.f64 4/29 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1))
0.0ms
x
@inf
(+.f64 4/29 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1))

rewrite63.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
530×unpow-prod-down_binary64
497×prod-diff_binary64
493×fma-def_binary64
359×log-prod_binary64
233×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0923
120911
227939
Stop Event
1×node limit
Counts
2 → 167
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(+.f64 4/29 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 841/108 x 1) 25/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 33/29 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/841 (-.f64 4/29 (*.f64 841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule 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(fma.f64 841/108 x 4/29))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2) (sqrt.f64 (fma.f64 841/108 x 4/29))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 2) 3) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 707281/11664 (*.f64 x x) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (neg.f64 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))) (neg.f64 (-.f64 4/29 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 33/29 (*.f64 841/108 x)) 3) 1) (+.f64 (pow.f64 (+.f64 33/29 (*.f64 841/108 x)) 2) (+.f64 1 (*.f64 (+.f64 33/29 (*.f64 841/108 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 33/29 (*.f64 841/108 x)) 2) 1) (+.f64 (+.f64 33/29 (*.f64 841/108 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 841/108 x 1) -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 33/29 (*.f64 841/108 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 841/108 x) 1 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 841/108 x 1) 1 -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 841/108 x 1)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 1)) 2) -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 1)) 2) (cbrt.f64 (fma.f64 841/108 x 1)) -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 841/108 x 1)) 1) -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 841/108 x 1)) (sqrt.f64 (fma.f64 841/108 x 1)) -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 841/108 x 1)) (*.f64 (sqrt.f64 (fma.f64 841/108 x 1)) 1) -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (fma.f64 841/108 x 2))) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -1) 1)) -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 841/108 x 2) (*.f64 841/108 x)) (/.f64 1 (fma.f64 841/108 x 2)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 707281/11664 (*.f64 x x))) (/.f64 1 (+.f64 1 (*.f64 -841/108 x))) -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 33/29 (*.f64 841/108 x))) 2) (cbrt.f64 (+.f64 33/29 (*.f64 841/108 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 33/29 (*.f64 841/108 x))) (sqrt.f64 (+.f64 33/29 (*.f64 841/108 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 841/108 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 841/108 x 1)) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 841/108 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 33/29 (*.f64 841/108 x))))))))

simplify11.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
06120
18102
210102
Stop Event
1×saturated
Counts
191 → 169
Calls
Call 1
Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
Outputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)

localize19.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x 707281/11664)
0.1b
(*.f64 x (*.f64 x 707281/11664))
0.0b
(-.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))
0.0b
(-.f64 4/29 (*.f64 841/108 x))
✓0.1b
(*.f64 x (*.f64 x 707281/11664))
✓0.2b
(*.f64 x 707281/11664)
0.2b
(*.f64 841/108 x)
✓11.3b
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
Compiler

Compiled 42 to 31 computations (26.2% saved)

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 x 707281/11664)
0.0ms
x
@0
(*.f64 x 707281/11664)
0.0ms
x
@inf
(*.f64 x 707281/11664)
0.0ms
x
@0
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
0.0ms
x
@inf
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))

rewrite127.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
650×log-prod_binary64
573×prod-diff_binary64
251×fma-def_binary64
229×pow1/3_binary64
229×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01230
127918
2378816
Stop Event
1×node limit
Counts
3 → 212
Calls
Call 1
Inputs
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
(*.f64 x 707281/11664)
(*.f64 x (*.f64 x 707281/11664))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 841/108 4/29) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29)))) (sqrt.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 841/108 4/29) (fma.f64 (neg.f64 (/.f64 (*.f64 x 707281/11664) (sqrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 841/108 4/29) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 (*.f64 x 707281/11664) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 707281/11664)) (cbrt.f64 (pow.f64 (exp.f64 x) 707281/11664)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 707281/11664))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 707281/11664))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 707281/11664) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 707281/11664) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 500246412961/136048896))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 707281/11664) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 707281/11664)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 707281/11664)))))))
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simplify161.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
1126×sqr-pow_binary64
565×cube-prod_binary64
557×fabs-mul_binary64
541×pow-sqr_binary64
521×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011204
120186
231186
354186
4130186
5379186
61433186
72329186
82493186
92706186
102926186
113226186
123628186
134114186
144675186
155357186
166190186
176582186
186868186
197148186
207222186
217258186
Stop Event
1×node limit
Counts
248 → 219
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x 707281/11664))

localize38.0ms (0.9%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (*.f64 (*.f64 x x) -707281/11664) (*.f64 (*.f64 x x) -707281/11664))
0.0b
(-.f64 4/29 (*.f64 841/108 x))
0.0b
(-.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))
0.0b
(-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) -707281/11664) (*.f64 (*.f64 x x) -707281/11664)))
0.2b
(*.f64 841/108 x)
✓0.2b
(*.f64 (*.f64 x x) -707281/11664)
✓11.3b
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) -707281/11664) (*.f64 (*.f64 x x) -707281/11664))) (-.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
✓20.7b
(/.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) -707281/11664) (*.f64 (*.f64 x x) -707281/11664))) (-.f64 16/841 (*.f64 (*.f64 x x) -707281/11664)))
Compiler

Compiled 102 to 60 computations (41.2% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) -707281/11664) (*.f64 (*.f64 x x) -707281/11664))) (-.f64 16/841 (*.f64 (*.f64 x x) -707281/11664)))
1.0ms
x
@inf
(/.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) -707281/11664) (*.f64 (*.f64 x x) -707281/11664))) (-.f64 16/841 (*.f64 (*.f64 x x) -707281/11664)))
1.0ms
x
@0
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) -707281/11664) (*.f64 (*.f64 x x) -707281/11664))) (-.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
1.0ms
x
@inf
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) -707281/11664) (*.f64 (*.f64 x x) -707281/11664))) (-.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
1.0ms
x
@-inf
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) -707281/11664) (*.f64 (*.f64 x x) -707281/11664))) (-.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))

rewrite97.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
458×fma-def_binary64
287×expm1-udef_binary64
287×log1p-udef_binary64
242×log-div_binary64
221×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01666
138524
2566120
Stop Event
1×node limit
Counts
3 → 164
Calls
Call 1
Inputs
(/.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) -707281/11664) (*.f64 (*.f64 x x) -707281/11664))) (-.f64 16/841 (*.f64 (*.f64 x x) -707281/11664)))
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) -707281/11664) (*.f64 (*.f64 x x) -707281/11664))) (-.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
(*.f64 (*.f64 x x) -707281/11664)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) -707281/11664) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 256/707281 (fma.f64 x (*.f64 x -707281/11664) 16/841)) (neg.f64 (/.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)) (fma.f64 x (*.f64 x -707281/11664) 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 256/707281 (fma.f64 x (*.f64 x -707281/11664) 16/841)) (/.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)) (fma.f64 x (*.f64 x -707281/11664) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -707281/11664) 16/841))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4096/594823321 (+.f64 (fma.f64 500246412961/136048896 (pow.f64 x 4) 256/707281) (*.f64 -841/729 (*.f64 x x)))) (/.f64 (pow.f64 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fma.f64 x (sqrt.f64 -707281/11664) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 841/108) 1 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x -707281/11664)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 -707281/11664) x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 841/108 4/29)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) -707281/11664))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 x x) -707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -707281/11664) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 841/108) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) -707281/11664) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 x x) -707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 x x) -707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (exp.f64 x) (*.f64 x -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) -707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) (*.f64 x -707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) -707281/11664) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) -707281/11664)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) -707281/11664)))))))

simplify151.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1125×sqr-pow_binary64
565×cube-prod_binary64
558×fabs-mul_binary64
541×pow-sqr_binary64
506×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012243
122225
236225
364225
4141225
5382225
61396225
72314225
82478225
92691225
102911225
113211225
123611225
134099225
144660225
155346225
166183225
176577225
186863225
197139225
207213225
217247225
Stop Event
1×node limit
Counts
200 → 173
Calls
Call 1
Inputs
16/841
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
Outputs
16/841
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 -707281/11664 x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 -707281/11664 x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 -707281/11664 x) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 -707281/11664 x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 -707281/11664 x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 -707281/11664 x) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 -707281/11664 x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 -707281/11664 x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 -707281/11664 x) 16/841)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
0.2b
(*.f64 841/108 x)
0.0b
(sqrt.f64 (*.f64 841/108 x))
0.0b
(sqrt.f64 (*.f64 841/108 x))
0.2b
(*.f64 841/108 x)
0.2b
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
Compiler

Compiled 17 to 13 computations (23.5% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

eval566.0ms (12.7%)

Compiler

Compiled 18543 to 14399 computations (22.3% saved)

prune97.0ms (2.2%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New7614765
Fresh415
Picked101
Done156
Total76710777
Error
0b
Counts
777 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓34.2b
(*.f64 841/108 x)
▶0.3b
(+.f64 4/29 (*.f64 x (pow.f64 594823321/1259712 1/3)))
✓0.1b
(+.f64 4/29 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1))
29.9b
4/29
✓21.3b
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) -707281/11664) (*.f64 (*.f64 x x) -707281/11664))) (-.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
▶34.2b
(pow.f64 (/.f64 108/841 x) -1)
▶12.1b
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (+.f64 -4/29 (*.f64 x 841/108))))
✓0.1b
(+.f64 4/29 (*.f64 841/108 x))
▶46.1b
(/.f64 (*.f64 -707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x)))
✓12.1b
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
Compiler

Compiled 106 to 83 computations (21.7% saved)

localize14.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
11.3b
(/.f64 (*.f64 -707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x)))
0.2b
(*.f64 -707281/11664 (*.f64 x x))
0.2b
(*.f64 841/108 x)
0.0b
(-.f64 4/29 (*.f64 841/108 x))
✓0.0b
(-.f64 4/29 (*.f64 841/108 x))
0.2b
(*.f64 841/108 x)
✓0.2b
(*.f64 -707281/11664 (*.f64 x x))
✓11.3b
(/.f64 (*.f64 -707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x)))
Compiler

Compiled 32 to 20 computations (37.5% saved)

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (*.f64 -707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x)))
0.0ms
x
@inf
(/.f64 (*.f64 -707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x)))
0.0ms
x
@-inf
(/.f64 (*.f64 -707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x)))
0.0ms
x
@inf
(*.f64 -707281/11664 (*.f64 x x))
0.0ms
x
@-inf
(-.f64 4/29 (*.f64 841/108 x))

rewrite72.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
544×log-prod_binary64
426×exp-prod_binary64
277×pow2_binary64
273×pow-prod-down_binary64
232×prod-diff_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01030
122830
2302426
Stop Event
1×node limit
Counts
3 → 144
Calls
Call 1
Inputs
(/.f64 (*.f64 -707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x)))
(*.f64 -707281/11664 (*.f64 x x))
(-.f64 4/29 (*.f64 841/108 x))
Outputs
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(fma.f64 x -841/108 4/29) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -707281/11664 (*.f64 (fma.f64 x -841/108 4/29) (pow.f64 x -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 -707281/11664 (*.f64 (fma.f64 x -841/108 4/29) (pow.f64 x -2))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -707281/11664 (*.f64 (fma.f64 x -841/108 4/29) (pow.f64 x -2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 841/108) (sqrt.f64 (neg.f64 (fma.f64 x -841/108 4/29))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -11664/707281 (*.f64 (fma.f64 x -841/108 4/29) (pow.f64 x -2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -707281/11664 (*.f64 (fma.f64 x -841/108 4/29) (pow.f64 x -2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 x -841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 (*.f64 x -841/108) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x -841/108 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -841/108 4/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -841/108 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -841/108 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -841/108 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -841/108 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -841/108 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (cbrt.f64 (fma.f64 x -841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 (fma.f64 x -841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 1 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 841/108 4/29) (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (fma.f64 x 841/108 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (neg.f64 (fma.f64 x 841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (pow.f64 (*.f64 x -841/108) 3)) (+.f64 16/841 (-.f64 (pow.f64 (*.f64 x -841/108) 2) (*.f64 4/29 (*.f64 x -841/108)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (pow.f64 (*.f64 x -841/108) 2)) (-.f64 4/29 (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -841/108 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -841/108 4/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -841/108 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x -841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 841/108 4/29) (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -841/108 4/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 x -841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -841/108 4/29)))) (sqrt.f64 (log.f64 (fma.f64 x -841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 (neg.f64 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (neg.f64 (cbrt.f64 (*.f64 x 841/108))) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 841/108)) (neg.f64 (sqrt.f64 (*.f64 x 841/108))) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2) (cbrt.f64 (*.f64 x -841/108)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -841/108)) (sqrt.f64 (*.f64 x -841/108)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x 841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)) (cbrt.f64 (*.f64 x 841/108)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x 841/108))) (sqrt.f64 (*.f64 x 841/108)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -841/108 (sqrt.f64 x)) (sqrt.f64 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -841/108 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x -841/108 4/29))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -841/108 4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -841/108 4/29)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -841/108 4/29)))))))

simplify82.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
894×fma-def_binary64
637×associate-/r/_binary64
381×*-commutative_binary64
365×associate-/l/_binary64
350×swap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
045292
1107288
2231286
3591279
41543273
53407273
65278273
76300273
87052273
97857273
Stop Event
1×node limit
Counts
180 → 167
Calls
Call 1
Inputs
(*.f64 -20511149/46656 (pow.f64 x 2))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
4/29
(+.f64 (*.f64 -841/108 x) 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(*.f64 -841/108 x)
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(*.f64 -841/108 x)
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
Outputs
(*.f64 -20511149/46656 (pow.f64 x 2))
(*.f64 -20511149/46656 (*.f64 x x))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))
(fma.f64 -20511149/46656 (*.f64 x x) (*.f64 -500246412961/20155392 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -20511149/46656 (*.f64 x -500246412961/20155392)))
(*.f64 (*.f64 x x) (fma.f64 x -500246412961/20155392 -20511149/46656))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (*.f64 -12200509765705829/8707129344 (pow.f64 x 4))))
(fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 -20511149/46656 (*.f64 x -500246412961/20155392))))
(fma.f64 (*.f64 x x) (fma.f64 x -500246412961/20155392 -20511149/46656) (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -12200509765705829/8707129344 -500246412961/20155392) -20511149/46656)))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 -297558232675799463481/3761479876608 (pow.f64 x 5) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)))))
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 -297558232675799463481/3761479876608 (pow.f64 x 5) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 (*.f64 x x) (fma.f64 x -500246412961/20155392 -20511149/46656) (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5))))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x -12200509765705829/8707129344 -500246412961/20155392) -20511149/46656)) (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x -12200509765705829/8707129344 -500246412961/20155392) -20511149/46656) (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 x 841/108) 4/29)
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (fma.f64 x 841/108 (/.f64 1728/707281 x)))
(fma.f64 x 841/108 (+.f64 4/29 (/.f64 1728/707281 x)))
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 (+.f64 4/29 (/.f64 746496/17249876309 (*.f64 x x))) (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 (fma.f64 x 841/108 (/.f64 1728/707281 x)) (+.f64 4/29 (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 4/29 (fma.f64 x 841/108 (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x)))))
(+.f64 4/29 (+.f64 (fma.f64 x 841/108 (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 4/29 (+.f64 (/.f64 1728/707281 x) (fma.f64 x 841/108 (/.f64 746496/17249876309 (*.f64 x x)))))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 x 841/108) 4/29)
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (fma.f64 x 841/108 (/.f64 1728/707281 x)))
(fma.f64 x 841/108 (+.f64 4/29 (/.f64 1728/707281 x)))
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 (+.f64 4/29 (/.f64 746496/17249876309 (*.f64 x x))) (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 (fma.f64 x 841/108 (/.f64 1728/707281 x)) (+.f64 4/29 (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 4/29 (fma.f64 x 841/108 (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x)))))
(+.f64 4/29 (+.f64 (fma.f64 x 841/108 (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 4/29 (+.f64 (/.f64 1728/707281 x) (fma.f64 x 841/108 (/.f64 746496/17249876309 (*.f64 x x)))))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 (*.f64 x x) -707281/11664)
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 (*.f64 x x) -707281/11664)
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 (*.f64 x x) -707281/11664)
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 (*.f64 x x) -707281/11664)
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 (*.f64 x x) -707281/11664)
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 (*.f64 x x) -707281/11664)
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 (*.f64 x x) -707281/11664)
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 (*.f64 x x) -707281/11664)
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 (*.f64 x x) -707281/11664)
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 (*.f64 x x) -707281/11664)
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 (*.f64 x x) -707281/11664)
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 (*.f64 x x) -707281/11664)
(*.f64 x (*.f64 x -707281/11664))
4/29
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 -841/108 x 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 -841/108 x 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 -841/108 x 4/29)
(fma.f64 x -841/108 4/29)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 -841/108 x 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 -841/108 x 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 -841/108 x 4/29)
(fma.f64 x -841/108 4/29)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 -841/108 x 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 -841/108 x 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 -841/108 x 4/29)
(fma.f64 x -841/108 4/29)

localize24.0ms (0.5%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x 841/108)
0.2b
(/.f64 1 (+.f64 -4/29 (*.f64 x 841/108)))
0.0b
(+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)
0.0b
(+.f64 -4/29 (*.f64 x 841/108))
✓0.2b
(/.f64 1 (+.f64 -4/29 (*.f64 x 841/108)))
✓0.2b
(*.f64 x 841/108)
0.2b
(*.f64 (*.f64 x x) 707281/11664)
✓11.2b
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (+.f64 -4/29 (*.f64 x 841/108))))
Compiler

Compiled 52 to 36 computations (30.8% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (+.f64 -4/29 (*.f64 x 841/108))))
1.0ms
x
@inf
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (+.f64 -4/29 (*.f64 x 841/108))))
1.0ms
x
@0
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (+.f64 -4/29 (*.f64 x 841/108))))
0.0ms
x
@-inf
(/.f64 1 (+.f64 -4/29 (*.f64 x 841/108)))
0.0ms
x
@inf
(/.f64 1 (+.f64 -4/29 (*.f64 x 841/108)))

rewrite74.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
614×log-prod_binary64
441×prod-diff_binary64
350×pow2_binary64
280×fma-def_binary64
242×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01431
130727
2381127
Stop Event
1×node limit
Counts
3 → 99
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (+.f64 -4/29 (*.f64 x 841/108))))
(*.f64 x 841/108)
(/.f64 1 (+.f64 -4/29 (*.f64 x 841/108)))
Outputs
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841/108 -4/29)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 3) (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 707281/11664)) (/.f64 1 (fma.f64 x 841/108 -4/29)) (*.f64 -16/841 (/.f64 1 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -16/841 (/.f64 1 (fma.f64 x 841/108 -4/29)) (*.f64 (*.f64 x (*.f64 x 707281/11664)) (/.f64 1 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (*.f64 x (*.f64 x 707281/11664)) (*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -16/841 (*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (*.f64 x (*.f64 x 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 841/108) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 841/108)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 841/108)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 x 841/108 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x 841/108 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))) (cbrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -1/2) (pow.f64 (fma.f64 x 841/108 -4/29) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 2))) (cbrt.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389)) (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) (+.f64 -4/29 (*.f64 -841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 841/108 -4/29) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 x 841/108 -4/29))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 -4/29)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 841/108 -4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))))))

simplify48.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
732×associate-*l*_binary64
693×fma-neg_binary64
654×distribute-rgt-neg-in_binary64
609×associate-/r*_binary64
571×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
044301
1102281
2220279
3560273
41448270
56168270
Stop Event
1×node limit
Counts
135 → 117
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
-29/4
(-.f64 (*.f64 -707281/1728 x) 29/4)
(-.f64 (+.f64 (*.f64 -17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x)) 29/4)
(-.f64 (+.f64 (*.f64 -17249876309/746496 (pow.f64 x 2)) (+.f64 (*.f64 -420707233300201/322486272 (pow.f64 x 3)) (*.f64 -707281/1728 x))) 29/4)
(/.f64 108/841 x)
(+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (*.f64 108/841 (/.f64 1 x)))
(+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3))))))
(/.f64 108/841 x)
(+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (*.f64 108/841 (/.f64 1 x)))
(+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3))))))
Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
-29/4
(-.f64 (*.f64 -707281/1728 x) 29/4)
(fma.f64 -707281/1728 x -29/4)
(fma.f64 x -707281/1728 -29/4)
(-.f64 (+.f64 (*.f64 -17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x)) 29/4)
(+.f64 (*.f64 -17249876309/746496 (*.f64 x x)) (fma.f64 -707281/1728 x -29/4))
(fma.f64 -17249876309/746496 (*.f64 x x) (fma.f64 x -707281/1728 -29/4))
(fma.f64 x -707281/1728 (fma.f64 -17249876309/746496 (*.f64 x x) -29/4))
(fma.f64 x (fma.f64 x -17249876309/746496 -707281/1728) -29/4)
(-.f64 (+.f64 (*.f64 -17249876309/746496 (pow.f64 x 2)) (+.f64 (*.f64 -420707233300201/322486272 (pow.f64 x 3)) (*.f64 -707281/1728 x))) 29/4)
(+.f64 (fma.f64 -17249876309/746496 (*.f64 x x) (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (*.f64 x -707281/1728))) -29/4)
(+.f64 (fma.f64 -17249876309/746496 (*.f64 x x) (fma.f64 x -707281/1728 (*.f64 -420707233300201/322486272 (pow.f64 x 3)))) -29/4)
(fma.f64 x (*.f64 x -17249876309/746496) (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 x -707281/1728 -29/4)))
(fma.f64 x -707281/1728 (fma.f64 x (*.f64 x (fma.f64 x -420707233300201/322486272 -17249876309/746496)) -29/4))
(fma.f64 x (fma.f64 x (fma.f64 x -420707233300201/322486272 -17249876309/746496) -707281/1728) -29/4)
(/.f64 108/841 x)
(+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (*.f64 108/841 (/.f64 1 x)))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 108/841 x))
(+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))))
(+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3)))) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (+.f64 (/.f64 8707129344/12200509765705829 (pow.f64 x 4)) (/.f64 108/841 x)) (/.f64 20155392/500246412961 (pow.f64 x 3))))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 20155392/500246412961 (/.f64 8707129344/12200509765705829 x)))))
(/.f64 108/841 x)
(+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (*.f64 108/841 (/.f64 1 x)))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 108/841 x))
(+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))))
(+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3)))) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (+.f64 (/.f64 8707129344/12200509765705829 (pow.f64 x 4)) (/.f64 108/841 x)) (/.f64 20155392/500246412961 (pow.f64 x 3))))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 20155392/500246412961 (/.f64 8707129344/12200509765705829 x)))))

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (/.f64 108/841 x) -1)
0.2b
(/.f64 108/841 x)
✓0.2b
(/.f64 108/841 x)
✓0.3b
(pow.f64 (/.f64 108/841 x) -1)
Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (/.f64 108/841 x) -1)
1.0ms
x
@-inf
(pow.f64 (/.f64 108/841 x) -1)
1.0ms
x
@inf
(pow.f64 (/.f64 108/841 x) -1)
0.0ms
x
@0
(/.f64 108/841 x)
0.0ms
x
@inf
(/.f64 108/841 x)

rewrite47.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
554×pow1_binary64
524×add-log-exp_binary64
524×log1p-expm1-u_binary64
524×expm1-log1p-u_binary64
513×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0611
11298
214808
Stop Event
1×node limit
Counts
2 → 48
Calls
Call 1
Inputs
(pow.f64 (/.f64 108/841 x) -1)
(/.f64 108/841 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 841/108)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 841/108) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -841/108 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 108/841)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 108/841 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 108/841 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 108/841 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 108/841 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) -108/841)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 841/108 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2)) (cbrt.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 108/841 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 841/108)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 108/841 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 108/841 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 108/841 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 108/841 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 108/841 x)) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -108/841 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 108/841)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 108/841 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 841/108) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 108/841 x)))))))

simplify7.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
1548
Stop Event
1×saturated
Counts
60 → 48
Calls
Call 1
Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
Outputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)

localize17.0ms (0.4%)

Local error

Found 6 expressions with local error:

NewErrorProgram
1.0b
(pow.f64 594823321/1259712 1/3)
0.2b
(*.f64 x (pow.f64 594823321/1259712 1/3))
0.0b
(+.f64 4/29 (*.f64 x (pow.f64 594823321/1259712 1/3)))
✓0.0b
(+.f64 4/29 (*.f64 x (pow.f64 594823321/1259712 1/3)))
✓0.2b
(*.f64 x (pow.f64 594823321/1259712 1/3))
✓1.0b
(pow.f64 594823321/1259712 1/3)
Compiler

Compiled 20 to 17 computations (15% saved)

series4.0ms (0.1%)

Counts
3 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 x (pow.f64 594823321/1259712 1/3))
0.0ms
x
@-inf
(*.f64 x (pow.f64 594823321/1259712 1/3))
0.0ms
x
@inf
(*.f64 x (pow.f64 594823321/1259712 1/3))
0.0ms
x
@0
(+.f64 4/29 (*.f64 x (pow.f64 594823321/1259712 1/3)))
0.0ms
x
@inf
(+.f64 4/29 (*.f64 x (pow.f64 594823321/1259712 1/3)))

rewrite56.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0818
118016
2203516
Stop Event
1×node limit
Counts
3 → 57
Calls
Call 1
Inputs
(pow.f64 594823321/1259712 1/3)
(*.f64 x (pow.f64 594823321/1259712 1/3))
(+.f64 4/29 (*.f64 x (pow.f64 594823321/1259712 1/3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 594823321/1259712)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 594823321/1259712) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 594823321/1259712))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 594823321/1259712)) (cbrt.f64 (cbrt.f64 353814783205469041/1586874322944)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 353814783205469041/1586874322944)) (cbrt.f64 (cbrt.f64 594823321/1259712)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 594823321/1259712 1/6) (pow.f64 594823321/1259712 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 353814783205469041/1586874322944))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 594823321/1259712)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 594823321/1259712)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 594823321/1259712)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 594823321/1259712)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 594823321/1259712)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 594823321/1259712) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 594823321/1259712) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 594823321/1259712) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cbrt.f64 594823321/1259712)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 594823321/1259712) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 594823321/1259712) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 594823321/1259712) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/841 (-.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))) (/.f64 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944)) (-.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) 2) (cbrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) (sqrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 (cbrt.f64 594823321/1259712) x) (-.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16/841 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944))) (/.f64 1 (-.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 16/841 (*.f64 (*.f64 (cbrt.f64 594823321/1259712) x) (-.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29))) (+.f64 64/24389 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x)) (-.f64 16/841 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3)) (+.f64 16/841 (*.f64 (*.f64 (cbrt.f64 594823321/1259712) x) (-.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3)) (+.f64 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944)) (-.f64 16/841 (*.f64 (*.f64 4/29 (cbrt.f64 594823321/1259712)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944))) (-.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 (cbrt.f64 594823321/1259712) x) (-.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16/841 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944)))) (neg.f64 (-.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944)) 16/841) (-.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (cbrt.f64 594823321/1259712) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 594823321/1259712) x)) 2) (cbrt.f64 (*.f64 (cbrt.f64 594823321/1259712) x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 594823321/1259712) x)) (sqrt.f64 (*.f64 (cbrt.f64 594823321/1259712) x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))))

simplify10.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
07166
19148
211148
Stop Event
1×saturated
Counts
81 → 60
Calls
Call 1
Inputs
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
4/29
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(*.f64 (cbrt.f64 594823321/1259712) x)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(*.f64 (cbrt.f64 594823321/1259712) x)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
Outputs
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
4/29
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)
(*.f64 (cbrt.f64 594823321/1259712) x)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)
(*.f64 (cbrt.f64 594823321/1259712) x)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)

eval190.0ms (4.3%)

Compiler

Compiled 6162 to 4740 computations (23.1% saved)

prune52.0ms (1.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New4201421
Fresh011
Picked101
Done358
Total4247431
Error
0b
Counts
431 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(+.f64 4/29 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1))
29.9b
4/29
✓21.3b
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) -707281/11664) (*.f64 (*.f64 x x) -707281/11664))) (-.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
34.2b
(/.f64 x 108/841)
✓34.2b
(*.f64 841/108 x)
✓0.1b
(+.f64 4/29 (*.f64 841/108 x))
✓12.1b
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
Compiler

Compiled 68 to 52 computations (23.5% saved)

regimes8.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
4/29
(*.f64 841/108 x)
(/.f64 x 108/841)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1))
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (*.f64 (*.f64 x x) -707281/11664) (*.f64 (*.f64 x x) -707281/11664))) (-.f64 16/841 (*.f64 (*.f64 x x) -707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
Outputs
(+.f64 4/29 (*.f64 841/108 x))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 64 to 47 computations (26.6% saved)

regimes11.0ms (0.3%)

Accuracy

Total -59.4b remaining (-2552.5%)

Threshold costs -59.4b (-2552.5%)

Counts
3 → 3
Calls
Call 1
Inputs
4/29
(*.f64 841/108 x)
(/.f64 x 108/841)
Outputs
(*.f64 841/108 x)
4/29
(*.f64 841/108 x)
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
2.3b3x
Compiler

Compiled 10 to 7 computations (30% saved)

bsearch38.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
7.324045184595973e-6
0.020906970886639117
19.0ms
-4.405786177188472
-0.001343051659460351
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
11529
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 4/29 (*.f64 841/108 x))
(if (<=.f64 x -4960474246465021/1125899906842624) (*.f64 841/108 x) (if (<=.f64 x 540419148418107/73786976294838206464) 4/29 (*.f64 841/108 x)))
4/29
Outputs
(+.f64 4/29 (*.f64 841/108 x))
(if (<=.f64 x -4960474246465021/1125899906842624) (*.f64 841/108 x) (if (<=.f64 x 540419148418107/73786976294838206464) 4/29 (*.f64 841/108 x)))
4/29

end25.0ms (0.6%)

Stop Event
1×fuel
Compiler

Compiled 46 to 36 computations (21.7% saved)

Profiling

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