Details

Time bar (total: 1.2s)

analyze4.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14
Compiler

Compiled 7 to 5 computations (28.6% saved)

sample652.0ms (54.4%)

Results
640.0ms8256×body128valid
0.0msbody128invalid

preprocess16.0ms (1.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-*l*_binary64
associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
2117
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 (*.f64 x 3) x)
Outputs
(*.f64 (*.f64 x 3) x)
(*.f64 x (*.f64 x 3))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify6.0ms (0.5%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-*l*_binary64
associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
2117
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x 3) x)
Outputs
(*.f64 (*.f64 x 3) x)
(*.f64 x (*.f64 x 3))

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.1b
(*.f64 (*.f64 x 3) x)
Compiler

Compiled 23 to 15 computations (34.8% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (*.f64 x 3) x)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (*.f64 x 3) x)
1.0ms
x
@inf
(*.f64 (*.f64 x 3) x)
0.0ms
x
@-inf
(*.f64 (*.f64 x 3) x)

rewrite33.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
446×pow1_binary64
412×add-log-exp_binary64
412×log1p-expm1-u_binary64
412×expm1-log1p-u_binary64
404×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11017
211327
Stop Event
node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 (*.f64 x 3) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))))))

simplify75.0ms (6.3%)

Algorithm
egg-herbie
Rules
609×sqr-pow_binary64
451×associate-*l*_binary64
434×unswap-sqr_binary64
281×cube-prod_binary64
271×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410684
531584
6123584
7211684
8228084
9246484
10267284
11296384
12335684
13383484
14439584
Stop Event
node limit
Counts
25 → 15
Calls
Call 1
Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
Outputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))

prune10.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416
Error
0.0b
Counts
16 → 4
Alt Table
StatusErrorProgram
0.1b
(*.f64 (*.f64 x 3) x)
0.4b
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)
0.9b
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)
0.2b
(*.f64 3 (pow.f64 x 2))
Compiler

Compiled 170 to 129 computations (24.1% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 3 (pow.f64 x 2))

series1.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 3 (pow.f64 x 2))
0.0ms
x
@0
(*.f64 3 (pow.f64 x 2))
0.0ms
x
@-inf
(*.f64 3 (pow.f64 x 2))

rewrite31.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
469×pow1_binary64
435×add-log-exp_binary64
434×log1p-expm1-u_binary64
434×expm1-log1p-u_binary64
426×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11247
212657
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 3 (pow.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x x))))))))

simplify15.0ms (1.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
11 → 11
Calls
Call 1
Inputs
Outputs

prune10.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New9211
Fresh112
Picked011
Done011
Total10515
Error
0.0b
Counts
15 → 5
Alt Table
StatusErrorProgram
19.5b
(sqrt.f64 (*.f64 (pow.f64 x 4) 9))
0.5b
(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
0.1b
(*.f64 (*.f64 x 3) x)
0.4b
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)
0.2b
(*.f64 3 (pow.f64 x 2))
Compiler

Compiled 140 to 101 computations (27.9% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (*.f64 x 3))
0.3b
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)
20.9b
(sqrt.f64 (*.f64 x (*.f64 x 3)))

series4.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(sqrt.f64 (*.f64 x (*.f64 x 3)))
1.0ms
x
@inf
(sqrt.f64 (*.f64 x (*.f64 x 3)))
1.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)
0.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)
0.0ms
x
@-inf
(sqrt.f64 (*.f64 x (*.f64 x 3)))

rewrite47.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
590×pow1_binary64
549×add-log-exp_binary64
548×log1p-expm1-u_binary64
548×expm1-log1p-u_binary64
68×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
116720
2158920
Stop Event
node limit
Counts
3 → 73
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x (*.f64 x 3)))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)
(*.f64 x (*.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (sqrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (cbrt.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) (cbrt.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 1/2) (sqrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4)) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (sqrt.f64 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4)) (cbrt.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x 3) 2)) (*.f64 (cbrt.f64 (*.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 (sqrt.f64 (*.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (sqrt.f64 (*.f64 x (sqrt.f64 3)))) (sqrt.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (pow.f64 (*.f64 x 3) 2))) (cbrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (*.f64 x 3))) (sqrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (cbrt.f64 (*.f64 x (*.f64 x 3)))) (cbrt.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))))))

simplify47.0ms (3.9%)

Algorithm
egg-herbie
Rules
617×unswap-sqr_binary64
423×fma-def_binary64
290×*-commutative_binary64
280×distribute-rgt-in_binary64
228×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012368
127248
257248
3140248
4554248
51062248
62258248
72838248
83737248
94463248
Stop Event
node limit
Counts
109 → 68
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 -1 (*.f64 (sqrt.f64 3) x))
(*.f64 -1 (*.f64 (sqrt.f64 3) x))
(*.f64 -1 (*.f64 (sqrt.f64 3) x))
(*.f64 -1 (*.f64 (sqrt.f64 3) x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
Outputs
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 (sqrt.f64 3) x)
(*.f64 -1 (*.f64 (sqrt.f64 3) x))
(neg.f64 (*.f64 (sqrt.f64 3) x))
(*.f64 (sqrt.f64 3) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 3)))
(*.f64 -1 (*.f64 (sqrt.f64 3) x))
(neg.f64 (*.f64 (sqrt.f64 3) x))
(*.f64 (sqrt.f64 3) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 3)))
(*.f64 -1 (*.f64 (sqrt.f64 3) x))
(neg.f64 (*.f64 (sqrt.f64 3) x))
(*.f64 (sqrt.f64 3) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 3)))
(*.f64 -1 (*.f64 (sqrt.f64 3) x))
(neg.f64 (*.f64 (sqrt.f64 3) x))
(*.f64 (sqrt.f64 3) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 3)))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))
(*.f64 3 (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x))
(*.f64 x (*.f64 x 3))
(*.f64 3 (*.f64 x x))

prune68.0ms (5.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New65368
Fresh112
Picked011
Done022
Total66773
Error
0b
Counts
73 → 7
Alt Table
StatusErrorProgram
0.9b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 3) 2)) (*.f64 (cbrt.f64 (*.f64 x 3)) x))
0.6b
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
19.5b
(sqrt.f64 (*.f64 (pow.f64 x 4) 9))
0.1b
(*.f64 (*.f64 x 3) x)
0.4b
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)
0.2b
(*.f64 3 (pow.f64 x 2))
34.9b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 x (sqrt.f64 3))))
Compiler

Compiled 780 to 613 computations (21.4% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
1.0b
(pow.f64 (sqrt.f64 3) 2)

series2.0ms (0.1%)

Counts
2 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
1.0ms
x
@inf
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
0.0ms
x
@-inf
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))

rewrite40.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
546×pow1_binary64
507×add-log-exp_binary64
506×log1p-expm1-u_binary64
506×expm1-log1p-u_binary64
493×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
11708
215308
Stop Event
node limit
Counts
2 → 12
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 3) 2)
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 3)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x x))))))))

simplify6.0ms (0.5%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
12 → 12
Calls
Call 1
Inputs
Outputs

prune17.0ms (1.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New12012
Fresh033
Picked011
Done033
Total12719
Error
0b
Counts
19 → 7
Alt Table
StatusErrorProgram
0.9b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 3) 2)) (*.f64 (cbrt.f64 (*.f64 x 3)) x))
0.6b
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
19.5b
(sqrt.f64 (*.f64 (pow.f64 x 4) 9))
0.1b
(*.f64 (*.f64 x 3) x)
0.4b
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)
0.2b
(*.f64 3 (pow.f64 x 2))
34.9b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 x (sqrt.f64 3))))
Compiler

Compiled 151 to 109 computations (27.8% saved)

regimes22.0ms (1.8%)

Accuracy

Total -42.4b remaining (-24658.6%)

Threshold costs -42.4b (-24658.6%)

Counts
11 → 1
Compiler

Compiled 100 to 77 computations (23% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x 3) x)
Outputs
(*.f64 (*.f64 x 3) x)
(*.f64 x (*.f64 x 3))

end71.0ms (6%)

Stop Event
fuel
Compiler

Compiled 69 to 52 computations (24.6% saved)

Profiling

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