Details

Time bar (total: 1.4s)

analyze3.0ms

Algorithm
search

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify196.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune6.0ms

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)))

rewrite7.0ms

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:
7.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify141.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0171170
1807140
24462140
35001140

prune45.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New22628
Fresh000
Picked101
Done000
Total23629

Merged error: 0.0b

Counts
29 → 6

localize9.0ms

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)

rewrite18.0ms

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))
6.0ms
(+ (* (* x x) 3.0) (neg (* 2.0 (pow x 3))))
5.0ms
(* (* x x) 3.0)

series16.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* 2.0 (pow x 3))
8.0ms
(+ (* (* x x) 3.0) (neg (* 2.0 (pow x 3))))
3.0ms
(* (* x x) 3.0)

simplify78.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0292325
11517282
25001277

prune91.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New72274
Fresh325
Picked101
Done000
Total76480

Merged error: 0b

Counts
80 → 4

localize8.0ms

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))))
0.1b
(* x (* x 3.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-exp-log associate-*r*
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×associate-*l* prod-exp
4×unpow-prod-down cube-prod cbrt-unprod unswap-sqr
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 → 64
Calls
3 calls:
6.0ms
(* 2.0 (pow x 3))
6.0ms
(+ (* x (* x 3.0)) (neg (* 2.0 (pow x 3))))
5.0ms
(* x (* x 3.0))

series18.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* 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
73 → 73
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0279321
11424280
25001274

prune81.0ms

Filtered
43 candidates to 73 candidates (-69.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New73073
Fresh033
Picked011
Done000
Total73477

Merged error: 0b

Counts
77 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (neg (* 2.0 (pow x 3))))
0.3b
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
0.5b
(* x (sqrt 3.0))
0.5b
(* x (sqrt 3.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
20×add-exp-log add-cbrt-cube
19×pow-prod-down
18×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×sqrt-prod add-log-exp
7×associate-*l*
4×pow-sqr pow-prod-up unswap-sqr
3×*-commutative
2×pow-plus sum-log
1×+-commutative pow2 neg-sub0 associate-+r- flip3-+ swap-sqr unsub-neg neg-log flip-+
Counts
4 → 93
Calls
4 calls:
9.0ms
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (neg (* 2.0 (pow x 3))))
8.0ms
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
4.0ms
(* x (sqrt 3.0))
5.0ms
(* x (sqrt 3.0))

series29.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (neg (* 2.0 (pow x 3))))
6.0ms
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
4.0ms
(* x (sqrt 3.0))
6.0ms
(* x (sqrt 3.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0236490
11253389
25001367

prune114.0ms

Filtered
54 candidates to 105 candidates (-94.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh022
Picked011
Done011
Total1054109

Merged error: 0b

Counts
109 → 4

regimes66.0ms

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
0186
1206
2206

end0.0ms

analyze3.0ms

Algorithm
search

sample282.0ms

Algorithm
intervals
Results
194.0ms8000×body80valid
0.0ms1×body80invalid

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