Details

Time bar (total: 1.3s)

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

sample10.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
03087
13087

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 1 expressions with local error:

0.1b
(/ (- (* 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
4×associate-/l* difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×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)

series6.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04958405
14958405

prune68.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33437
Fresh000
Picked011
Done000
Total33538

Merged error: 0b

Counts
38 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (/ x 6.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
6.0ms
(* x (/ x 6.0))

series3.0ms

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

simplify70.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04842218
14842218

prune47.0ms

Filtered
24 candidates to 35 candidates (-45.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New34135
Fresh123
Picked011
Done011
Total35540

Merged error: 0b

Counts
40 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×add-exp-log *-un-lft-identity
9×add-cube-cbrt
6×add-cbrt-cube
4×associate-*l* prod-exp
3×pow1 unswap-sqr
2×frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv add-log-exp difference-of-squares
Counts
1 → 41
Calls
1 calls:
10.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

series6.0ms

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

simplify44.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05113413

prune68.0ms

Filtered
29 candidates to 44 candidates (-51.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New44044
Fresh022
Picked011
Done022
Total44549

Merged error: 0b

Counts
49 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
0.2b
(cbrt (- (* x x) 3.0))
0.2b
(cbrt (- (* x x) 3.0))
0.2b
(cbrt (- (* x x) 3.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
30×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
7×swap-sqr associate-*r* associate-*l* difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
12.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
4.0ms
(cbrt (- (* x x) 3.0))
4.0ms
(cbrt (- (* x x) 3.0))
4.0ms
(cbrt (- (* x x) 3.0))

series55.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
13.0ms
(cbrt (- (* x x) 3.0))
15.0ms
(cbrt (- (* x x) 3.0))
13.0ms
(cbrt (- (* x x) 3.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
053741345

prune192.0ms

Filtered
77 candidates to 105 candidates (-36.4%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done033
Total1055110

Merged error: 0b

Counts
110 → 5

regimes187.0ms

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
0259
1259

end0.0ms

sample320.0ms

Algorithm
intervals
Results
211.0ms8000×body80valid

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