Details

Time bar (total: 1.2s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%25%13
75%0%25%14

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
06667
16667

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×times-frac
11×add-cube-cbrt *-un-lft-identity
difference-of-squares
add-exp-log add-cbrt-cube associate-/l* add-log-exp
associate-/r*
pow1 flip3-- flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 46
Calls
2 calls:
4.0ms
(- (* x x) 3.0)
6.0ms
(/ (- (* x x) 3.0) 6.0)

series10.0ms

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

simplify40.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05481516

prune95.0ms

Filtered
41 candidates to 52 candidates (-26.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New47552
Fresh000
Picked011
Done000
Total47653

Merged error: 0.0b

Counts
53 → 6

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (* x 0.16666666666666666))

rewrite5.0ms

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

series3.0ms

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

simplify35.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05096120

prune35.0ms

Filtered
11 candidates to 21 candidates (-90.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New20121
Fresh044
Picked011
Done011
Total20727

Merged error: 0b

Counts
27 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series87.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt x) (cbrt x))
20.0ms
(cbrt x)
20.0ms
(cbrt x)
23.0ms
(cbrt x)

simplify49.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05501356

prune97.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh134
Picked011
Done022
Total85792

Merged error: 0b

Counts
92 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* x x)) (* x (* 0.16666666666666666 (cbrt x))))
0.3b
(* 0.16666666666666666 (cbrt x))
0.6b
(cbrt x)
21.1b
(cbrt (* x x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
13×add-sqr-sqrt
10×add-cbrt-cube
cbrt-prod add-cube-cbrt *-un-lft-identity
associate-*r* associate-*l* pow-prod-down prod-exp cbrt-unprod
add-log-exp
pow1/3 *-commutative unswap-sqr
Counts
4 → 64
Calls
4 calls:
8.0ms
(* (cbrt (* x x)) (* x (* 0.16666666666666666 (cbrt x))))
4.0ms
(* 0.16666666666666666 (cbrt x))
1.0ms
(cbrt x)
3.0ms
(cbrt (* x x))

series74.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (cbrt (* x x)) (* x (* 0.16666666666666666 (cbrt x))))
24.0ms
(* 0.16666666666666666 (cbrt x))
22.0ms
(cbrt x)
23.0ms
(cbrt (* x x))

simplify65.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05062388

prune82.0ms

Filtered
51 candidates to 76 candidates (-49.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done033
Total76783

Merged error: 0b

Counts
83 → 7

regimes157.0ms

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 (1.0ms)

IterNodesCost
0417
1417

end0.0ms

sample280.0ms

Algorithm
intervals
Results
188.0ms8000×body80valid

Profiling

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