Details

Time bar (total: 1.0s)

analyze3.0ms

Algorithm
search

sample10.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1163
2203
3213
4213

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 x) 3.0) 6.0)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×add-cube-cbrt *-un-lft-identity
associate-/l* difference-of-squares
add-exp-log associate-/r* add-cbrt-cube
associate-/l/
pow1 cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
6.0ms
(/ (- (* x x) 3.0) 6.0)

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/ (- (* x x) 3.0) 6.0)

simplify63.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0175222
1562208
22205208
35001208

prune67.0ms

Filtered
30 candidates to 37 candidates (-23.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New32537
Fresh000
Picked101
Done000
Total33538

Merged error: 0b

Counts
38 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b
(* 0.16666666666666666 (pow x 2))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
associate-*r*
add-exp-log
add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
associate-*l* prod-exp add-cbrt-cube
unpow2 sqr-pow
pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 27
Calls
1 calls:
7.0ms
(* 0.16666666666666666 (pow x 2))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(* 0.16666666666666666 (pow x 2))

simplify71.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0107102
140487
2198887
3500286

prune40.0ms

Filtered
18 candidates to 30 candidates (-66.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New29130
Fresh134
Picked011
Done000
Total30535

Merged error: 0b

Counts
35 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 0.16666666666666666) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
4.0ms
(* (* x 0.16666666666666666) x)

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(* (* x 0.16666666666666666) x)

simplify53.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
09472
143357
2229557
3500156

prune23.0ms

Filtered
10 candidates to 21 candidates (-110.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New21021
Fresh033
Picked011
Done011
Total21526

Merged error: 0b

Counts
26 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ 6.0 (- (* x x) 3.0)))
0.3b
(/ 6.0 (- (* x x) 3.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
78×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
22×associate-/r*
16×difference-of-squares
15×add-exp-log
11×associate-/r/
add-cbrt-cube
div-exp
div-inv associate-/l*
flip3-- flip--
cbrt-undiv
pow1
rec-exp frac-2neg 1-exp clear-num add-log-exp
pow-flip inv-pow
Counts
2 → 129
Calls
2 calls:
8.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
6.0ms
(/ 6.0 (- (* x x) 3.0))

series9.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
4.0ms
(/ 6.0 (- (* x x) 3.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05031147
124801026
25001913

prune120.0ms

Filtered
73 candidates to 135 candidates (-84.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh022
Picked011
Done022
Total1355140

Merged error: 0b

Counts
140 → 5

regimes184.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

analyze3.0ms

Algorithm
search

sample258.0ms

Algorithm
intervals
Results
174.0ms8000×body80valid

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