Details

Time bar (total: 5.7s)

sample16.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms248×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (log x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*r*
3×add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
1×expm1-log1p-u pow-prod-down prod-exp log-pow *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
4.0ms
(* x (log x))

series179.0ms

Counts
1 → 3
Calls
1 calls:
179.0ms
(* x (log x))

simplify192.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
095121
1348105
2104098
3453598
4500198

prune46.0ms

Filtered
30 candidates to 18 candidates (60.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New24630
Fresh000
Picked011
Done000
Total24731

Merged error: 0.0b

Counts
31 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt x)))
0.3b
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 111
Calls
4 calls:
5.0ms
(* x (log (cbrt x)))
10.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
336.0ms
(* x (log (cbrt x)))
345.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
175.0ms
(cbrt x)
173.0ms
(cbrt x)

simplify56.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0381753
11662639
25002569

prune274.0ms

Filtered
123 candidates to 102 candidates (82.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1203123
Fresh415
Picked101
Done011
Total1255130

Merged error: 0.0b

Counts
130 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma x (* 2 (log (cbrt x))) (* x (log (cbrt x))))
0.2b
(* x (log (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×cbrt-prod add-cube-cbrt log-prod *-un-lft-identity
7×pow1
6×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×log-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 70
Calls
4 calls:
1.0ms
(fma x (* 2 (log (cbrt x))) (* x (log (cbrt x))))
5.0ms
(* x (log (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.4s

Counts
4 → 12
Calls
4 calls:
691.0ms
(fma x (* 2 (log (cbrt x))) (* x (log (cbrt x))))
328.0ms
(* x (log (cbrt x)))
187.0ms
(cbrt x)
185.0ms
(cbrt x)

simplify86.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0165411
1635366
22715343
35001333

prune174.0ms

Filtered
82 candidates to 65 candidates (79.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh033
Picked011
Done011
Total82587

Merged error: 0.0b

Counts
87 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 2 (log (cbrt x))))
0.3b
(+ (* x (* 2 (log (cbrt x)))) (* x (log (pow x 1/3))))
0.6b
(cbrt x)
5.2b
(pow x 1/3)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
62×log-prod
55×distribute-rgt-in distribute-lft-in
28×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-prod
24×associate-+l+
14×associate-+r+
10×pow1 add-exp-log
9×unpow-prod-down add-cbrt-cube
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod sqr-pow
1×+-commutative pow-to-exp pow-pow fma-def flip3-+ unpow1/3 pow1/3 associate-*r* pow-exp sum-log *-commutative flip-+ distribute-lft-out
Counts
4 → 130
Calls
4 calls:
6.0ms
(* x (* 2 (log (cbrt x))))
14.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (pow x 1/3))))
1.0ms
(cbrt x)
2.0ms
(pow x 1/3)

series1.3s

Counts
4 → 12
Calls
4 calls:
344.0ms
(* x (* 2 (log (cbrt x))))
576.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (pow x 1/3))))
180.0ms
(cbrt x)
178.0ms
(pow x 1/3)

simplify74.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0559941
12198778
25001679

prune320.0ms

Filtered
142 candidates to 104 candidates (73.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1420142
Fresh022
Picked011
Done022
Total1425147

Merged error: 0.0b

Counts
147 → 5

regimes49.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097
197

end0.0ms

sample431.0ms

Algorithm
intervals
Results
155.0ms8037×body80valid
104.0ms7920×body80nan