Details

Time bar (total: 2.2s)

sample131.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 43.75%

Guaranteed chance to sample good point: 96.896701%

Results
10.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1254
2274
3274

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ (* x 2.0) (* x x)) (* y y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×sum-log
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
5.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

simplify70.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0118124
1598104
22785101
35001101

prune27.0ms

Filtered
12 candidates to 16 candidates (-33.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New14216
Fresh000
Picked011
Done000
Total14317

Merged error: 0.0b

Counts
17 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
0.6b
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
0.6b
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
0.6b
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
13.0ms
(* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
5.0ms
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
5.0ms
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
5.0ms
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

series149.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
35.0ms
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
39.0ms
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
36.0ms
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03371597
111201504
250011373

prune224.0ms

Filtered
78 candidates to 99 candidates (-26.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New98199
Fresh011
Picked101
Done011
Total993102

Merged error: 0b

Counts
102 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))
0.5b
(* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
0.6b
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
0.6b
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
24×add-sqr-sqrt
18×cbrt-div
16×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
3×sqrt-prod
2×sqrt-div associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 90
Calls
4 calls:
6.0ms
(cbrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))
13.0ms
(* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
7.0ms
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
5.0ms
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

series146.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))
38.0ms
(* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))))
38.0ms
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))
36.0ms
(cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04331665
113401569
250021476

prune312.0ms

Filtered
78 candidates to 102 candidates (-30.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh011
Picked011
Done011
Total1023105

Merged error: 0b

Counts
105 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* x 2.0) (* x x)) (* y y))
4.9b
(exp (log (+ (+ (* x 2.0) (* x x)) (* y y))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×add-log-exp
4×add-sqr-sqrt add-cube-cbrt exp-prod *-un-lft-identity
3×pow1 log-prod exp-sum sum-log
2×add-exp-log log-div flip3-+ exp-diff add-cbrt-cube flip-+
1×+-commutative associate-+l+ log-pow rem-exp-log
Counts
2 → 30
Calls
2 calls:
6.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
6.0ms
(exp (log (+ (+ (* x 2.0) (* x x)) (* y y))))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
8.0ms
(exp (log (+ (+ (* x 2.0) (* x x)) (* y y))))

simplify76.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0158292
1660254
22880236
35002230

prune45.0ms

Filtered
25 candidates to 36 candidates (-44.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New36036
Fresh000
Picked011
Done022
Total36339

Merged error: 0b

Counts
39 → 3

regimes187.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample572.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 43.75%

Guaranteed chance to sample good point: 96.896701%

Results
241.0ms8000×body80valid
0.0ms1×body80invalid

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