Details

Time bar (total: 1.8s)

analyze47.0ms

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

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0245
1245

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:
5.0ms
(+ (+ x y) x)

series4.0ms

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

simplify68.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04899116
14899116

prune19.0ms

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

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:
5.0ms
(cbrt (+ x (+ x y)))
5.0ms
(cbrt (+ x (+ x y)))
5.0ms
(cbrt (+ x (+ x y)))
17.0ms
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))

series131.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (+ x (+ x y)))
30.0ms
(cbrt (+ x (+ x y)))
33.0ms
(cbrt (+ x (+ x y)))
38.0ms
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))

simplify69.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
048221264
148221264

prune124.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1152117
Fresh000
Picked011
Done011
Total1154119

Merged error: 0.0b

Counts
119 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
0.6b
(cbrt (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y)))))
0.6b
(cbrt (cbrt (+ x (+ x y))))
1.0b
(pow (cbrt (cbrt (+ x (+ x y)))) 4)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
63×cbrt-prod
36×cbrt-div
30×distribute-lft-out
26×add-sqr-sqrt
18×add-cube-cbrt
14×swap-sqr
13×flip3-+ flip-+
12×pow1
11×unpow-prod-down
9×pow1/3
8×frac-times associate-*r* associate-*l*
7×add-exp-log
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
3×pow-unpow
2×pow-pow pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-plus pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 121
Calls
4 calls:
14.0ms
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
12.0ms
(cbrt (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y)))))
5.0ms
(cbrt (cbrt (+ x (+ x y))))
7.0ms
(pow (cbrt (cbrt (+ x (+ x y)))) 4)

series203.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
48.0ms
(cbrt (* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y)))))
40.0ms
(cbrt (cbrt (+ x (+ x y))))
74.0ms
(pow (cbrt (cbrt (+ x (+ x y)))) 4)

simplify66.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049821775
149821775

prune186.0ms

Filtered
84 candidates to 133 candidates (-58.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1330133
Fresh011
Picked011
Done022
Total1334137

Merged error: 0.0b

Counts
137 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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:
5.0ms
(cbrt (+ x (+ x y)))
5.0ms
(cbrt (+ x (+ x y)))
5.0ms
(cbrt (+ x (+ x y)))
14.0ms
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))

series134.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (+ x (+ x y)))
32.0ms
(cbrt (+ x (+ x y)))
30.0ms
(cbrt (+ x (+ x y)))
41.0ms
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))

simplify68.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
048221264
148221264

prune123.0ms

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

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1170117
Fresh000
Picked011
Done033
Total1174121

Merged error: 0.0b

Counts
121 → 4

regimes121.0ms

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 (1.0ms)

IterNodesCost
0205
1205

end0.0ms

sample263.0ms

Algorithm
intervals
Results
138.0ms8000×body80valid
0.0ms4×body80invalid

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