Details

Time bar (total: 1.5s)

analyze36.0ms (2.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
43.7%56.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample11.0ms (0.7%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify8.0ms (0.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
167

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize9.0ms (0.6%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 x (+.f64 x y))

rewrite8.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity_binary64
12×times-frac_binary64
10×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
associate-/r*_binary64 distribute-lft-out_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
associate-/r/_binary64
flip3-+_binary64 add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64
Counts
1 → 33
Calls

1 calls:

6.0ms
(/.f64 x (+.f64 x y))

series53.0ms (3.5%)

Counts
1 → 3
Calls

1 calls:

53.0ms
(/.f64 x (+.f64 x y))

simplify66.0ms (4.4%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05149431

prune25.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh000
Picked011
Done000
Total34337

Merged error: 0.0b

Counts
37 → 3
Compiler

Compiled 438 to 153 computations (65.1% saved)

localize8.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 x (+.f64 x y))
0.1b
(pow.f64 (/.f64 x (+.f64 x y)) 3)
14.5b
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

rewrite36.0ms (2.4%)

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity_binary64
60×times-frac_binary64
46×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
42×cbrt-prod_binary64
36×unpow-prod-down_binary64 cube-prod_binary64
16×distribute-lft-out_binary64
10×associate-/r/_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
flip3-+_binary64 div-inv_binary64 flip-+_binary64
associate-/r*_binary64 pow1_binary64
pow-unpow_binary64 add-log-exp_binary64 associate-/l*_binary64
cbrt-undiv_binary64 sqr-pow_binary64 cube-div_binary64 rem-cube-cbrt_binary64 div-exp_binary64 pow-exp_binary64 unpow3_binary64 cube-mult_binary64
cbrt-div_binary64 pow-to-exp_binary64 rem-cbrt-cube_binary64 pow1/3_binary64 pow-pow_binary64 clear-num_binary64 frac-2neg_binary64
Counts
3 → 141
Calls

3 calls:

9.0ms
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
9.0ms
(pow.f64 (/.f64 x (+.f64 x y)) 3)
6.0ms
(/.f64 x (+.f64 x y))

series215.0ms (14.3%)

Counts
3 → 9
Calls

3 calls:

114.0ms
(pow.f64 (/.f64 x (+.f64 x y)) 3)
52.0ms
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
48.0ms
(/.f64 x (+.f64 x y))

simplify76.0ms (5%)

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
053672125

prune96.0ms (6.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1500150
Fresh011
Picked011
Done011
Total1503153

Merged error: 0.0b

Counts
153 → 3
Compiler

Compiled 1902 to 667 computations (64.9% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 x (+.f64 x y))
2.5b
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))

rewrite20.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity_binary64
24×times-frac_binary64
20×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
19×log-pow_binary64
18×exp-prod_binary64
distribute-lft-out_binary64
associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-/r/_binary64
pow1_binary64 log-prod_binary64 associate-/l*_binary64
flip3-+_binary64 add-log-exp_binary64 div-inv_binary64 flip-+_binary64
cbrt-undiv_binary64 rem-log-exp_binary64 clear-num_binary64 frac-2neg_binary64 div-exp_binary64
Counts
2 → 63
Calls

2 calls:

9.0ms
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
6.0ms
(/.f64 x (+.f64 x y))

series151.0ms (10.1%)

Counts
2 → 6
Calls

2 calls:

105.0ms
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
46.0ms
(/.f64 x (+.f64 x y))

simplify239.0ms (15.9%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04918758
14918758

prune41.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh000
Picked011
Done022
Total69372

Merged error: 0.0b

Counts
72 → 3
Compiler

Compiled 839 to 227 computations (72.9% saved)

regimes28.0ms (1.9%)

Compiler

Compiled 74 to 67 computations (9.5% saved)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
167

end0.0ms (0%)

sample365.0ms (24.3%)

Algorithm
intervals
Results
166.0ms8000×body128valid
Compiler

Compiled 31 to 28 computations (9.7% saved)

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