Details

Time bar (total: 2.5s)

sample520.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 12.103271%

Guaranteed chance to sample good point: 97.889035%

Results
5.0ms256×body80valid
0.0ms1×body80invalid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1203
2283
3363
4543
51013
61503
71673
82423
94683
1015473
1150013

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

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
3.0ms
(+ (* x y) x)
5.0ms
(+ (+ (* x y) x) y)

series8.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (* x y) x)
4.0ms
(+ (+ (* x y) x) y)

simplify49.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0143138
1451129
21660127
35002126

prune31.0ms

Filtered
21 candidates to 31 candidates (-47.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New29231
Fresh000
Picked011
Done000
Total29332

Merged error: 0.0b

Counts
32 → 3

localize8.0ms

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))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
11.0ms
(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
4.0ms
(cbrt (+ (* x y) x))
3.0ms
(cbrt (+ (* x y) x))
4.0ms
(cbrt (+ (* x y) x))

series62.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
14.0ms
(cbrt (+ (* x y) x))
14.0ms
(cbrt (+ (* x y) x))
14.0ms
(cbrt (+ (* x y) x))

simplify45.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03491115
111521064
25002991

prune135.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh011
Picked011
Done011
Total975102

Merged error: 0b

Counts
102 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
14×cbrt-div
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 61
Calls
4 calls:
4.0ms
(cbrt (+ (* x y) x))
4.0ms
(cbrt (cbrt (+ (* x y) x)))
4.0ms
(cbrt (cbrt (+ (* x y) x)))
4.0ms
(cbrt (cbrt (+ (* x y) x)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(cbrt (+ (* x y) x))
14.0ms
(cbrt (cbrt (+ (* x y) x)))
14.0ms
(cbrt (cbrt (+ (* x y) x)))
14.0ms
(cbrt (cbrt (+ (* x y) x)))

simplify65.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0271858
1698809
22283723
35002702

prune107.0ms

Filtered
62 candidates to 73 candidates (-17.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh022
Picked011
Done022
Total73578

Merged error: 0b

Counts
78 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (* x y) x))
0.6b
(cbrt (- (* x y) x))
4.6b
(- (* (* x y) (* x y)) (* x x))
29.0b
(cbrt (- (* (* x y) (* x y)) (* x x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip--
2×difference-of-squares
1×sub-neg flip3-+ diff-log flip-+
Counts
4 → 53
Calls
4 calls:
3.0ms
(cbrt (+ (* x y) x))
3.0ms
(cbrt (- (* x y) x))
8.0ms
(- (* (* x y) (* x y)) (* x x))
6.0ms
(cbrt (- (* (* x y) (* x y)) (* x x)))

series72.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(cbrt (+ (* x y) x))
14.0ms
(cbrt (- (* x y) x))
11.0ms
(- (* (* x y) (* x y)) (* x x))
33.0ms
(cbrt (- (* (* x y) (* x y)) (* x x)))

simplify43.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0397706
11255658
25001628

prune101.0ms

Filtered
58 candidates to 65 candidates (-12.1%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New65065
Fresh011
Picked011
Done033
Total65570

Merged error: 0b

Counts
70 → 5

regimes127.0ms

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
083
183

end0.0ms

sample892.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 12.103271%

Guaranteed chance to sample good point: 97.889035%

Results
171.0ms7999×body80valid
1.0ms39×body80invalid
0.0ms1×body1280valid

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