Details

Time bar (total: 2.1s)

sample72.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
5.0ms229×body80valid
4.0ms6×body320valid
1.0ms9×body1280valid
1.0ms7×body640valid
0.0ms3×body2560valid
0.0ms2×body160valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1193
2293
3413
4513
5793
61343
71693
81853
92133
102263
112263

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 13
Calls
1 calls:
8.0ms
(+ x (/ (- x y) 2.0))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+ x (/ (- x y) 2.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune31.0ms

Filtered
12 candidates to 16 candidates (-33.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New12416
Fresh000
Picked101
Done000
Total13417

Merged error: 0.1b

Counts
17 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* 1.5 x) (* 0.5 y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- (* 1.5 x) (* 0.5 y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(- (* 1.5 x) (* 0.5 y))

simplify72.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08781
127474
288474
3212674
4500174

prune28.0ms

Filtered
10 candidates to 15 candidates (-50.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh033
Picked011
Done000
Total14519

Merged error: 0.1b

Counts
19 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×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 → 95
Calls
4 calls:
21.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
10.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))

series176.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
41.0ms
(cbrt (+ x (/ (- x y) 2.0)))
44.0ms
(cbrt (+ x (/ (- x y) 2.0)))
41.0ms
(cbrt (+ x (/ (- x y) 2.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
02631109
17511044
22594956
35001938

prune219.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1025107
Fresh123
Picked011
Done011
Total1039112

Merged error: 0.0b

Counts
112 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.5b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.5b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
37×cbrt-prod
19×*-un-lft-identity
14×cbrt-div
11×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
4 → 65
Calls
4 calls:
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
11.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series172.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cbrt (+ x (/ (- x y) 2.0)))
43.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
44.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
41.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify83.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 4 (74.0ms)

IterNodesCost
0200746
1436704
21062696
33502684
45002676

prune277.0ms

Filtered
69 candidates to 77 candidates (-11.6%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New75277
Fresh156
Picked011
Done022
Total761086

Merged error: 0.0b

Counts
86 → 10

regimes285.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample392.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
166.0ms7388×body80valid
22.0ms241×body1280valid
11.0ms150×body640valid
10.0ms90×body2560valid
5.0ms86×body320valid
2.0ms45×body160valid
0.0ms3×body80invalid

Profiling

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