Details

Time bar (total: 3.5s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2122
3132
4132

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

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)

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(+ (+ x y) x)

simplify99.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
08265
124160
285458
3453553
4500253

prune21.0ms

Filtered
18 candidates to 10 candidates (55.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0.0b

Counts
19 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

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:
15.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
5.0ms
(cbrt (+ (+ x y) x))
5.0ms
(cbrt (+ (+ x y) x))
5.0ms
(cbrt (+ (+ x y) x))

series843.0ms

Counts
4 → 12
Calls
4 calls:
246.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
199.0ms
(cbrt (+ (+ x y) x))
199.0ms
(cbrt (+ (+ x y) x))
199.0ms
(cbrt (+ (+ x y) x))

simplify45.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0280982
11048931
25001832

prune220.0ms

Filtered
117 candidates to 75 candidates (64.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1161117
Fresh011
Picked011
Done011
Total1164120

Merged error: 0b

Counts
120 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (+ x y) x))
0.6b
(cbrt (+ (+ x y) x))
0.6b
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
0.9b
(pow (cbrt (cbrt (+ (+ x y) x))) 4)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
24×cbrt-prod cbrt-div
11×unpow-prod-down
10×add-sqr-sqrt add-cube-cbrt
9×distribute-lft-out
8×flip3-+ flip-+
5×pow1 add-exp-log
4×frac-times pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow associate-*r/ associate-*l/
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 73
Calls
4 calls:
10.0ms
(cbrt (+ (+ x y) x))
5.0ms
(cbrt (+ (+ x y) x))
14.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
8.0ms
(pow (cbrt (cbrt (+ (+ x y) x))) 4)

series1.2s

Counts
4 → 12
Calls
4 calls:
216.0ms
(cbrt (+ (+ x y) x))
219.0ms
(cbrt (+ (+ x y) x))
336.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
458.0ms
(pow (cbrt (cbrt (+ (+ x y) x))) 4)

simplify50.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0394795
11255743
25001716

prune267.0ms

Filtered
85 candidates to 63 candidates (74.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done022
Total85489

Merged error: 0b

Counts
89 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
38×sqrt-prod
30×distribute-lft-out
23×add-sqr-sqrt
18×pow1
16×swap-sqr
13×add-log-exp
12×sqrt-div
11×add-cube-cbrt
8×sqrt-pow1 flip3-+ pow1/2 associate-*r* associate-*l* flip-+
6×sum-log
5×add-exp-log pow-prod-up add-cbrt-cube
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-+l+ associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 99
Calls
3 calls:
6.0ms
(+ (+ x y) x)
6.0ms
(+ (+ x y) x)
17.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series88.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ (+ x y) x)
22.0ms
(+ (+ x y) x)
43.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify44.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0204509
1838459
25001444

prune118.0ms

Filtered
108 candidates to 45 candidates (41.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1080108
Fresh000
Picked011
Done033
Total1084112

Merged error: 0b

Counts
112 → 4

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample255.0ms

Algorithm
intervals
Results
127.0ms8003×body80valid

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