Details

Time bar (total: 6.8s)

sample14.0ms

Algorithm
intervals
Results
5.0ms238×body80valid
0.0ms5×body1280valid
0.0ms4×body2560valid
0.0ms7×body320valid
0.0ms2×body640valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

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: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(+ x (/ (- x y) 2.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune35.0ms

Filtered
16 candidates to 12 candidates (75.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New12416
Fresh000
Picked011
Done000
Total12517

Merged error: 0.0b

Counts
17 → 5

localize9.0ms

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)))

rewrite51.0ms

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:
24.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))

series1.8s

Counts
4 → 12
Calls
4 calls:
382.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
407.0ms
(cbrt (+ x (/ (- x y) 2.0)))
590.0ms
(cbrt (+ x (/ (- x y) 2.0)))
412.0ms
(cbrt (+ x (/ (- x y) 2.0)))

simplify73.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
02631109
17511044
22594956
35001938

prune221.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1043107
Fresh033
Picked101
Done011
Total1057112

Merged error: 0.0b

Counts
112 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b
(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:
11.0ms
(cbrt (+ x (/ (- x y) 2.0)))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series1.7s

Counts
4 → 12
Calls
4 calls:
415.0ms
(cbrt (+ x (/ (- x y) 2.0)))
405.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
412.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
417.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify80.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 4 (72.0ms)

IterNodesCost
0200746
1436704
21062696
33502684
45002676

prune227.0ms

Filtered
77 candidates to 69 candidates (89.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh055
Picked011
Done011
Total77784

Merged error: 0.0b

Counts
84 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(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)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod *-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
4 → 56
Calls
4 calls:
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
12.0ms
(cbrt (+ x (/ (- x y) 2.0)))

series1.7s

Counts
4 → 12
Calls
4 calls:
414.0ms
(cbrt (+ x (/ (- x y) 2.0)))
406.0ms
(cbrt (+ x (/ (- x y) 2.0)))
420.0ms
(cbrt (+ x (/ (- x y) 2.0)))
425.0ms
(cbrt (+ x (/ (- x y) 2.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 4 (62.0ms)

IterNodesCost
0144572
1316536
2807528
32831516
45002508

prune208.0ms

Filtered
68 candidates to 60 candidates (88.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh044
Picked011
Done022
Total68775

Merged error: 0.0b

Counts
75 → 7

regimes77.0ms

Accuracy

0% (0.1b 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
073
173

end0.0ms

sample337.0ms

Algorithm
intervals
Results
166.0ms7375×body80valid
23.0ms257×body1280valid
10.0ms92×body2560valid
10.0ms134×body640valid
6.0ms102×body320valid
2.0ms43×body160valid

Profiling

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