Details

Time bar (total: 1.3s)

analyze50.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
56.2%43.7%0.1%6
65.6%34.3%0.1%7
76.5%23.4%0.1%8
82%18%0.1%9
87.8%12.1%0.1%10
90.7%9.2%0.1%11
93.8%6.1%0.1%12
95.3%4.6%0.1%13
96.8%3.1%0.1%14

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0125
1125

prune5.0ms

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
3×sum-log distribute-lft-out
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
1 → 15
Calls
1 calls:
6.0ms
(+ (+ x y) x)

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(+ (+ x y) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05128116

prune22.0ms

Filtered
11 candidates to 18 candidates (-63.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0.0b

Counts
19 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
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 → 105
Calls
4 calls:
14.0ms
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
5.0ms
(cbrt (+ x (+ x y)))
5.0ms
(cbrt (+ x (+ x y)))
5.0ms
(cbrt (+ x (+ x y)))

series135.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
30.0ms
(cbrt (+ x (+ x y)))
31.0ms
(cbrt (+ x (+ x y)))
34.0ms
(cbrt (+ x (+ x y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
048471271
148471271

prune102.0ms

Filtered
75 candidates to 117 candidates (-56.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1161117
Fresh011
Picked101
Done011
Total1173120

Merged error: 0.0b

Counts
120 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (+ x y)))
0.6b
(cbrt (+ x (+ x y)))
0.6b
(cbrt (+ x (+ x y)))
0.6b
(cbrt (+ x (+ x y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
20×cbrt-prod
12×distribute-lft-out
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 60
Calls
4 calls:
5.0ms
(cbrt (+ x (+ x y)))
5.0ms
(cbrt (+ x (+ x y)))
5.0ms
(cbrt (+ x (+ x y)))
5.0ms
(cbrt (+ x (+ x y)))

series124.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (+ x (+ x y)))
31.0ms
(cbrt (+ x (+ x y)))
32.0ms
(cbrt (+ x (+ x y)))
30.0ms
(cbrt (+ x (+ x y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04929696
14929696

prune87.0ms

Filtered
56 candidates to 72 candidates (-28.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh011
Picked011
Done011
Total72375

Merged error: 0.0b

Counts
75 → 3

localize5.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
43×sqrt-prod
33×distribute-lft-out
26×add-sqr-sqrt
20×pow1
16×swap-sqr
14×sqrt-div add-log-exp
13×add-cube-cbrt
9×sqrt-pow1 flip3-+ pow1/2 flip-+
8×associate-*r* associate-*l*
6×add-exp-log sum-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-+r+ associate-*r/ associate-*l/
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 116
Calls
4 calls:
5.0ms
(sqrt (+ x (+ x y)))
5.0ms
(+ x (+ x y))
5.0ms
(+ x (+ x y))
15.0ms
(* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))

series22.0ms

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

simplify36.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050221024

prune74.0ms

Filtered
63 candidates to 128 candidates (-103.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh000
Picked011
Done022
Total1283131

Merged error: 0.0b

Counts
131 → 3

regimes102.0ms

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
065
165

end0.0ms

sample245.0ms

Algorithm
intervals
Results
125.0ms8000×body80valid
0.0ms3×body80invalid

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