Details

Time bar (total: 8.6s)

sample22.0ms

Algorithm
intervals
Results
9.0ms239×body80valid
1.0ms7×body1280valid
0.0ms5×body640valid
0.0ms2×body2560valid
0.0ms3×body160valid

simplify18.0ms

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

Filtered
1 candidates to 0 candidates (100.0%)
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))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(+ x (/ (- x y) 2.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune40.0ms

Filtered
16 candidates to 12 candidates (25.0%)
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))))
0.6b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (+ x (/ (- x y) 2.0)))

rewrite48.0ms

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:
22.0ms
(* (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)))

series2.0s

Counts
4 → 12
Calls
4 calls:
477.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
505.0ms
(cbrt (+ x (/ (- x y) 2.0)))
510.0ms
(cbrt (+ x (/ (- x y) 2.0)))
509.0ms
(cbrt (+ x (/ (- x y) 2.0)))

simplify68.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
02631109
17511044
22594956
35001938

prune356.0ms

Filtered
107 candidates to 75 candidates (29.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1034107
Fresh123
Picked011
Done011
Total1048112

Merged error: 0.0b

Counts
112 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (+ x (/ (- x y) 2.0)))

rewrite33.0ms

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)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))

series2.3s

Counts
4 → 12
Calls
4 calls:
530.0ms
(cbrt (+ x (/ (- x y) 2.0)))
530.0ms
(cbrt (+ x (/ (- x y) 2.0)))
537.0ms
(cbrt (+ x (/ (- x y) 2.0)))
743.0ms
(cbrt (+ x (/ (- x y) 2.0)))

simplify69.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 4 (63.0ms)

IterNodesCost
0144572
1316536
2807528
32831516
45002508

prune331.0ms

Filtered
68 candidates to 60 candidates (11.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh055
Picked011
Done022
Total68876

Merged error: 0.0b

Counts
76 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (+ x (/ (- x y) 2.0)))

rewrite37.0ms

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)))
11.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))

series2.1s

Counts
4 → 12
Calls
4 calls:
525.0ms
(cbrt (+ x (/ (- x y) 2.0)))
526.0ms
(cbrt (+ x (/ (- x y) 2.0)))
522.0ms
(cbrt (+ x (/ (- x y) 2.0)))
529.0ms
(cbrt (+ x (/ (- x y) 2.0)))

simplify68.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 4 (61.0ms)

IterNodesCost
0144572
1316536
2807528
32831516
45002508

prune281.0ms

Filtered
68 candidates to 60 candidates (11.8%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New68068
Fresh044
Picked011
Done033
Total68876

Merged error: 0.0b

Counts
76 → 8

regimes178.0ms

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

sample396.0ms

Algorithm
intervals
Results
145.0ms7372×body80valid
20.0ms239×body1280valid
12.0ms171×body640valid
9.0ms84×body2560valid
7.0ms84×body320valid
2.0ms54×body160valid

Profiling

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