Details

Time bar (total: 1.5s)

analyze3.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 50.253184%

Guaranteed chance to sample good point: 99.987737%

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142

prune2.0ms

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×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
4.0ms
(* x (log x))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(* x (log x))

simplify35.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
097118
134997
2115292
3500292

prune38.0ms

Filtered
16 candidates to 28 candidates (-75.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New23528
Fresh000
Picked011
Done000
Total23629

Merged error: 0.0b

Counts
29 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
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)

series149.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* x (log (cbrt x)))
50.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
22.0ms
(cbrt x)
26.0ms
(cbrt x)

simplify50.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0364765
11382661
25002593

prune126.0ms

Filtered
89 candidates to 114 candidates (-28.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1122114
Fresh134
Picked011
Done011
Total1137120

Merged error: 0b

Counts
120 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series94.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt x)
22.0ms
(cbrt x)
23.0ms
(cbrt x)
23.0ms
(cbrt x)

simplify121.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (23.0ms)

IterNodesCost
059204
1101188
2205148
3559144
42708128
55002128

prune79.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done022
Total56763

Merged error: 0b

Counts
63 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt (sqrt x))))
0.5b
(cbrt (sqrt x))
0.5b
(cbrt (sqrt x))
0.6b
(cbrt x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
19×add-sqr-sqrt
18×log-prod
17×add-cube-cbrt *-un-lft-identity
12×sqrt-prod
9×distribute-rgt-in distribute-lft-in
7×pow1
6×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1/3 add-log-exp
3×associate-*l*
2×log-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 77
Calls
4 calls:
5.0ms
(* x (log (cbrt (sqrt x))))
2.0ms
(cbrt (sqrt x))
2.0ms
(cbrt (sqrt x))
1.0ms
(cbrt x)

series91.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* x (log (cbrt (sqrt x))))
16.0ms
(cbrt (sqrt x))
16.0ms
(cbrt (sqrt x))
24.0ms
(cbrt x)

simplify147.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 3 (138.0ms)

IterNodesCost
0266549
1906488
24550457
35002440

prune80.0ms

Filtered
57 candidates to 89 candidates (-56.1%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New89089
Fresh033
Picked011
Done033
Total89796

Merged error: 0b

Counts
96 → 7

regimes91.0ms

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
042
142

end0.0ms

analyze3.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 50.253184%

Guaranteed chance to sample good point: 99.987737%

sample291.0ms

Algorithm
intervals
Results
200.0ms8000×body80valid
0.0ms1×body80nan

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