Details

Time bar (total: 5.5s)

sample16.0ms

Algorithm
intervals
Results
5.0ms257×body80valid
3.0ms227×body80nan

simplify3.0ms

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: 0.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* 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))

series169.0ms

Counts
1 → 3
Calls
1 calls:
169.0ms
(* x (log x))

simplify192.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
095121
1348105
2104098
3453598
4500198

prune49.0ms

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

localize8.0ms

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))))
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
62×associate-*r*
49×*-un-lft-identity
48×log-prod
42×add-sqr-sqrt
36×distribute-rgt-in distribute-lft-in
33×add-cube-cbrt
30×cbrt-prod
24×associate-+l+ fma-def
19×associate-*l*
16×pow1
14×log-pow
13×distribute-rgt-out
12×associate-+r+
11×distribute-lft-out
6×add-exp-log pow1/3 add-cbrt-cube add-log-exp
5×*-commutative unswap-sqr
4×expm1-log1p-u log1p-expm1-u
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log cbrt-unprod flip-+
Counts
4 → 157
Calls
4 calls:
5.0ms
(* x (log (cbrt x)))
29.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series983.0ms

Counts
4 → 12
Calls
4 calls:
325.0ms
(* x (log (cbrt x)))
324.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
165.0ms
(cbrt x)
168.0ms
(cbrt x)

simplify69.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0449841
12271692
25001626

prune385.0ms

Filtered
169 candidates to 129 candidates (76.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1645169
Fresh505
Picked101
Done011
Total1706176

Merged error: 0b

Counts
176 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (* x 1) (* 2 (log (cbrt x))) (* x (log (cbrt x))))
0.2b
(* x (log (cbrt x)))
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite13.0ms

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 1) (* 2 (log (cbrt x))) (* x (log (cbrt x))))
8.0ms
(* x (log (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
658.0ms
(fma (* x 1) (* 2 (log (cbrt x))) (* x (log (cbrt x))))
323.0ms
(* x (log (cbrt x)))
168.0ms
(cbrt x)
169.0ms
(cbrt x)

simplify84.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0167423
1643375
22676350
35001340

prune211.0ms

Filtered
82 candidates to 65 candidates (79.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New80282
Fresh224
Picked101
Done011
Total83588

Merged error: 0b

Counts
88 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
25×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
6×swap-sqr associate-*r* associate-*l*
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
1×*-commutative
Counts
4 → 79
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
6.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.0s

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt x)
310.0ms
(cbrt x)
271.0ms
(cbrt (cbrt x))
291.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify51.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0156471
1456451
22215412
35002412

prune349.0ms

Filtered
91 candidates to 72 candidates (79.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh033
Picked011
Done011
Total91596

Merged error: 0b

Counts
96 → 5

regimes46.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02316
12916
22916

end0.0ms

sample456.0ms

Algorithm
intervals
Results
163.0ms8017×body80valid
108.0ms8114×body80nan