Details

Time bar (total: 2.1s)

sample16.0ms

Algorithm
intervals
Results
9.0ms386×body80valid

simplify202.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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:
10.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify147.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0171170
1807140
24462140
35001140

prune39.0ms

Filtered
28 candidates to 16 candidates (57.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New22628
Fresh000
Picked101
Done000
Total23629

Merged error: 0.0b

Counts
29 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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:
8.0ms
(* 2.0 (pow x 3))
6.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
5.0ms
(* (* x x) 3.0)

series156.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* 2.0 (pow x 3))
93.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
23.0ms
(* (* x x) 3.0)

simplify58.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0292325
11517282
25001277

prune102.0ms

Filtered
74 candidates to 45 candidates (60.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New71374
Fresh325
Picked101
Done000
Total75580

Merged error: 0.0b

Counts
80 → 5

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))))

rewrite16.0ms

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))))

series189.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(* x (- 3.0 (* x 2.0)))
67.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify38.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0192313
1954262
25002262

prune62.0ms

Filtered
58 candidates to 30 candidates (51.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New57158
Fresh044
Picked011
Done000
Total57663

Merged error: 0b

Counts
63 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*r*
23×add-exp-log
21×add-sqr-sqrt
20×add-cbrt-cube
18×pow1
12×add-cube-cbrt *-un-lft-identity prod-exp
10×cbrt-unprod
9×pow-prod-down
8×add-log-exp
7×sqrt-prod
6×unswap-sqr
5×associate-*l*
4×unpow-prod-down cube-prod
3×*-commutative
2×sum-log sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
4 → 93
Calls
4 calls:
6.0ms
(* 2.0 (pow x 3))
10.0ms
(+ (* (* (* x x) (sqrt 3.0)) (sqrt 3.0)) (- (* 2.0 (pow x 3))))
9.0ms
(* (* (* x x) (sqrt 3.0)) (sqrt 3.0))
10.0ms
(* (* x x) (sqrt 3.0))

series287.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* 2.0 (pow x 3))
139.0ms
(+ (* (* (* x x) (sqrt 3.0)) (sqrt 3.0)) (- (* 2.0 (pow x 3))))
71.0ms
(* (* (* x x) (sqrt 3.0)) (sqrt 3.0))
42.0ms
(* (* x x) (sqrt 3.0))

simplify79.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0378553
12107445
25002435

prune143.0ms

Filtered
105 candidates to 60 candidates (57.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1041105
Fresh134
Picked011
Done011
Total1056111

Merged error: 0b

Counts
111 → 6

regimes19.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample413.0ms

Algorithm
intervals
Results
286.0ms11948×body80valid

Profiling

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