Details

Time bar (total: 2.9s)

analyze675.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 84.411621%

sample18.0ms

Algorithm
intervals
Results
6.0ms236×body80valid
1.0ms6×body1280valid
1.0ms6×body640valid
0.0ms3×body2560valid
0.0ms4×body160valid
0.0ms1×body320valid

simplify331.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0205
1644
22034
33274
43394
53454
64134
75164
85614
97004
109094
1112714
1239074
1350014

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (+ (+ (+ x y) y) x) z) x)
0.0b
(+ (+ x y) y)
0.0b
(+ (+ (+ x y) y) x)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity add-log-exp
24×sum-log distribute-lft-out
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
3 → 53
Calls
3 calls:
16.0ms
(+ (+ (+ (+ (+ x y) y) x) z) x)
6.0ms
(+ (+ x y) y)
9.0ms
(+ (+ (+ x y) y) x)

series18.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(+ (+ (+ (+ (+ x y) y) x) z) x)
4.0ms
(+ (+ x y) y)
5.0ms
(+ (+ (+ x y) y) x)

simplify34.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0249320
1929288
25002270

prune64.0ms

Filtered
37 candidates to 62 candidates (-67.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New57562
Fresh101
Picked101
Done000
Total59564

Merged error: 0.0b

Counts
64 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ (* 2 (+ x y)) z) x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×*-un-lft-identity sum-log
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 14
Calls
1 calls:
9.0ms
(+ (+ (* 2 (+ x y)) z) x)

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(+ (+ (* 2 (+ x y)) z) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0105109
1355100
2187797
3500297

prune29.0ms

Filtered
11 candidates to 17 candidates (-54.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New16117
Fresh224
Picked011
Done000
Total18422

Merged error: 0.0b

Counts
22 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 3 x) (+ z (* 2 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-+r+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
6.0ms
(+ (* 3 x) (+ z (* 2 y)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(+ (* 3 x) (+ z (* 2 y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0111103
143094
2210394
3500194

prune23.0ms

Filtered
11 candidates to 16 candidates (-45.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New16016
Fresh022
Picked011
Done011
Total16420

Merged error: 0.0b

Counts
20 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x y) y)
0.0b
(+ (+ (+ x y) y) x)
0.0b
(+ (+ (+ x y) y) x)
0.2b
(* (sqrt (+ (+ (+ x y) y) x)) (sqrt (+ (+ (+ x y) y) x)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
131×*-un-lft-identity
75×distribute-lft-out
54×sqrt-prod
27×add-log-exp
24×add-sqr-sqrt
23×swap-sqr
19×pow1
15×sum-log
12×add-cube-cbrt sqrt-div
9×flip3-+ associate-*r* associate-*l* flip-+
8×sqrt-pow1 pow1/2
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×+-commutative associate-+l+ pow-prod-down pow-sqr
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 127
Calls
4 calls:
6.0ms
(+ (+ x y) y)
9.0ms
(+ (+ (+ x y) y) x)
9.0ms
(+ (+ (+ x y) y) x)
26.0ms
(* (sqrt (+ (+ (+ x y) y) x)) (sqrt (+ (+ (+ x y) y) x)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (+ x y) y)
5.0ms
(+ (+ (+ x y) y) x)
5.0ms
(+ (+ (+ x y) y) x)
9.0ms
(* (sqrt (+ (+ (+ x y) y) x)) (sqrt (+ (+ (+ x y) y) x)))

simplify54.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0282767
11226664
25001632

prune90.0ms

Filtered
65 candidates to 139 candidates (-113.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1390139
Fresh011
Picked011
Done022
Total1394143

Merged error: 0.0b

Counts
143 → 4

regimes139.0ms

Accuracy

0% (0.0b 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
0124
1124

end0.0ms

analyze659.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 84.411621%

sample463.0ms

Algorithm
intervals
Results
209.0ms7420×body80valid
23.0ms188×body1280valid
17.0ms177×body640valid
14.0ms110×body320valid
6.0ms40×body2560valid
3.0ms65×body160valid
0.0ms13×body80invalid

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