Details

Time bar (total: 1.3s)

analyze3.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 33.394355%

Guaranteed chance to sample good point: 99.990841%

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify205.0ms

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)))

rewrite8.0ms

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)))

series7.0ms

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

simplify148.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0171170
1807140
24462140
35001140

prune41.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New24428
Fresh000
Picked011
Done000
Total24529

Merged error: 0.0b

Counts
29 → 5

localize7.0ms

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

series17.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* 2.0 (pow x 3))
10.0ms
(+ (* (* x x) 3.0) (neg (* 2.0 (pow x 3))))
3.0ms
(* (* x x) 3.0)

simplify54.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0292325
11517282
25001277

prune85.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh033
Picked011
Done011
Total74579

Merged error: 0.0b

Counts
79 → 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))))

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

series14.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (- 3.0 (* x 2.0)))
8.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify34.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0192313
1954262
25002262

prune49.0ms

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

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New57158
Fresh112
Picked011
Done022
Total58563

Merged error: 0b

Counts
63 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
0.1b
(* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))
3.8b
(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
10×pow1 distribute-rgt-in add-sqr-sqrt distribute-lft-in associate-*r/
8×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×sub-neg associate-*l*
5×associate-*r*
4×pow-prod-down
3×cbrt-undiv flip3-- times-frac div-exp associate-/r* flip-- add-log-exp
2×associate-/r/ *-commutative associate-/l/
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 80
Calls
3 calls:
6.0ms
(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
7.0ms
(* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))
10.0ms
(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
9.0ms
(* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))
11.0ms
(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0389909
12246760
25002760

prune96.0ms

Filtered
54 candidates to 89 candidates (-64.8%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New89089
Fresh011
Picked011
Done033
Total89594

Merged error: 0b

Counts
94 → 5

regimes63.0ms

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 (0.0ms)

IterNodesCost
0176
1196
2196

end0.0ms

analyze3.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 33.394355%

Guaranteed chance to sample good point: 99.990841%

sample273.0ms

Algorithm
intervals
Results
187.0ms8000×body80valid

Profiling

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