Details

Time bar (total: 2.0s)

analyze79.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 98.443604%

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2122
3132
4132

prune2.0ms

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
*-un-lft-identity add-log-exp
sum-log distribute-lft-out
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)

simplify100.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
08265
124160
285458
3453553
4500253

prune20.0ms

Filtered
10 candidates to 18 candidates (-80.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0.0b

Counts
19 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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
flip3-+ pow1/3 flip-+
associate-*r* associate-*l*
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
17.0ms
(* (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))

series158.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
34.0ms
(cbrt (+ (+ x y) x))
32.0ms
(cbrt (+ (+ x y) x))
32.0ms
(cbrt (+ (+ x y) x))

simplify143.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 3 (132.0ms)

IterNodesCost
02961023
1943972
24426856
35001851

prune107.0ms

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

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-div
28×cbrt-prod
18×*-un-lft-identity
14×flip3-+ flip-+
add-sqr-sqrt frac-times add-cube-cbrt
distribute-lft-out
pow1 add-exp-log pow1/3 associate-*r/ associate-*l/ add-cbrt-cube add-log-exp
Counts
4 → 70
Calls
4 calls:
6.0ms
(cbrt (cbrt (+ (+ x y) x)))
6.0ms
(cbrt (cbrt (+ (+ x y) x)))
15.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
13.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))

series186.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(cbrt (cbrt (+ (+ x y) x)))
39.0ms
(cbrt (cbrt (+ (+ x y) x)))
53.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
51.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))

simplify67.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
02891014
1688962
22241944
35001926

prune117.0ms

Filtered
70 candidates to 82 candidates (-17.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New81182
Fresh011
Picked011
Done011
Total81485

Merged error: 0b

Counts
85 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
24×flip3-+ flip-+
16×frac-times
associate-*r/ associate-*l/
pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 68
Calls
4 calls:
13.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
14.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
14.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
16.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))

series208.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
53.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
51.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))
53.0ms
(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))

simplify59.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
01991276
14841208
216281188
350011148

prune116.0ms

Filtered
64 candidates to 80 candidates (-25.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh011
Picked011
Done022
Total80484

Merged error: 0b

Counts
84 → 4

regimes130.0ms

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
062
162

end0.0ms

analyze77.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 98.443604%

sample243.0ms

Algorithm
intervals
Results
125.0ms8000×body80valid
0.0msbody80invalid

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