Details

Time bar (total: 1.3s)

analyze3.0ms

Algorithm
search

sample10.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify197.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1354
2814
31274
41334
51494
62054
73964
813284
946624
1050014

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg *-un-lft-identity distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
11.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify138.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0171170
1807140
24462140
35001140

prune37.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New23528
Fresh000
Picked101
Done000
Total24529

Merged error: 0b

Counts
29 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* (* x x) 3.0) (neg (* 2.0 (pow x 3))))
0.2b
(* (* x x) 3.0)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×prod-exp
5×unswap-sqr
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod
3×pow-prod-down
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 65
Calls
3 calls:
6.0ms
(* 2.0 (pow x 3))
5.0ms
(+ (* (* x x) 3.0) (neg (* 2.0 (pow x 3))))
6.0ms
(* (* x x) 3.0)

series15.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* 2.0 (pow x 3))
9.0ms
(+ (* (* x x) 3.0) (neg (* 2.0 (pow x 3))))
3.0ms
(* (* x x) 3.0)

simplify53.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0292325
11517282
25001277

prune86.0ms

Filtered
45 candidates to 74 candidates (-64.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New72274
Fresh314
Picked011
Done000
Total75479

Merged error: 0b

Counts
79 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 3.0 (* x 2.0)))
0.2b
(* x (* x (- 3.0 (* x 2.0))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×sub-neg associate-*r/ associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×unswap-sqr
Counts
2 → 52
Calls
2 calls:
5.0ms
(* x (- 3.0 (* x 2.0)))
6.0ms
(* x (* x (- 3.0 (* x 2.0))))

series12.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (- 3.0 (* x 2.0)))
7.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify36.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0192313
1954262
25002262

prune48.0ms

Filtered
30 candidates to 58 candidates (-93.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh022
Picked011
Done011
Total58462

Merged error: 0b

Counts
62 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (neg (* 2.0 (pow x 3))))
0.2b
(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
0.3b
(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
39×add-exp-log
27×pow-prod-down
24×prod-exp
23×add-cbrt-cube
22×cbrt-unprod
19×associate-*r*
17×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
8×add-log-exp
5×associate-*l* unswap-sqr
4×unpow-prod-down pow-plus cube-prod pow-prod-up
3×cbrt-prod *-commutative
2×pow2 sum-log pow-sqr sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
4 → 105
Calls
4 calls:
6.0ms
(* 2.0 (pow x 3))
16.0ms
(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (neg (* 2.0 (pow x 3))))
10.0ms
(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
14.0ms
(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series36.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* 2.0 (pow x 3))
15.0ms
(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (neg (* 2.0 (pow x 3))))
8.0ms
(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
9.0ms
(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0410756
12302558
25002518

prune154.0ms

Filtered
62 candidates to 117 candidates (-88.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1170117
Fresh011
Picked011
Done022
Total1174121

Merged error: 0b

Counts
121 → 4

regimes30.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1196
2196

end0.0ms

analyze3.0ms

Algorithm
search

sample268.0ms

Algorithm
intervals
Results
187.0ms8000×body80valid
0.0ms4×body80invalid

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