Details

Time bar (total: 1.6s)

sample18.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 50%

Guaranteed chance to sample good point: 100%

Results
6.0ms256×body80valid
3.0ms131×body80invalid

simplify200.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

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)))

series6.0ms

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

simplify149.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0171170
1807140
24462140
35001140

prune43.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New23528
Fresh000
Picked011
Done000
Total23629

Merged error: 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) (neg (* 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:
6.0ms
(* 2.0 (pow x 3))
8.0ms
(+ (* (* 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))
8.0ms
(+ (* (* x x) 3.0) (neg (* 2.0 (pow x 3))))
3.0ms
(* (* x x) 3.0)

simplify56.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0292325
11517282
25001277

prune115.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New72274
Fresh224
Picked101
Done011
Total75580

Merged error: 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))))

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)))
6.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify35.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0192313
1954262
25002262

prune54.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh033
Picked011
Done011
Total58563

Merged error: 0b

Counts
63 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x x) 3.0)
0.3b
(* (sqrt (* (* x x) 3.0)) (sqrt (* (* x x) 3.0)))
19.3b
(sqrt (* (* x x) 3.0))
19.3b
(sqrt (* (* x x) 3.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
12×add-sqr-sqrt
11×add-exp-log pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 109
Calls
4 calls:
5.0ms
(* (* x x) 3.0)
12.0ms
(* (sqrt (* (* x x) 3.0)) (sqrt (* (* x x) 3.0)))
4.0ms
(sqrt (* (* x x) 3.0))
4.0ms
(sqrt (* (* x x) 3.0))

series20.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* x x) 3.0)
7.0ms
(* (sqrt (* (* x x) 3.0)) (sqrt (* (* x x) 3.0)))
6.0ms
(sqrt (* (* x x) 3.0))
4.0ms
(sqrt (* (* x x) 3.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0178363
1921297
25001286

prune116.0ms

Filtered
56 candidates to 121 candidates (-116.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh022
Picked011
Done022
Total1215126

Merged error: 0b

Counts
126 → 5

regimes74.0ms

Accuracy

0% (0.2b 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
094
194

end0.0ms

sample491.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 50%

Guaranteed chance to sample good point: 100%

Results
199.0ms8000×body80valid
105.0ms4062×body80invalid

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