Details

Time bar (total: 2.2s)

sample14.0ms

Algorithm
intervals
Results
6.0ms252×body80valid
0.0ms2×body1280valid
0.0ms1×body2560valid
0.0ms2×body320valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1114
2114

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: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
5.0ms
(+ x (/ (fabs (- y x)) 2.0))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify107.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
083100
120791
248191
3128891
4389991
5500291

prune30.0ms

Filtered
15 candidates to 11 candidates (73.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.0b

Counts
16 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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:
14.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series198.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
48.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
51.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
51.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03641473
112021394
250011293

prune237.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1052107
Fresh202
Picked011
Done011
Total1074111

Merged error: 0.0b

Counts
111 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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:
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series200.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
52.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
48.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
52.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0206844
1579800
22056788
35001776

prune226.0ms

Filtered
68 candidates to 60 candidates (88.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh011
Picked011
Done022
Total68472

Merged error: 0.0b

Counts
72 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 6)
32.8b
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 6))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
20×*-un-lft-identity
14×unpow-prod-down
12×add-sqr-sqrt add-cube-cbrt
5×pow1 add-exp-log
4×cbrt-div pow1/3 add-cbrt-cube distribute-lft-out add-log-exp
3×pow-unpow
2×pow-pow flip3-+ flip-+ sqr-pow
1×pow-to-exp pow-exp
Counts
4 → 69
Calls
4 calls:
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
7.0ms
(pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 6)
7.0ms
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 6))

series247.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
61.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
83.0ms
(pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 6)
48.0ms
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 6))

simplify52.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0418951
11455886
25001843

prune204.0ms

Filtered
81 candidates to 54 candidates (66.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New81081
Fresh000
Picked011
Done033
Total81485

Merged error: 0.0b

Counts
85 → 4

regimes60.0ms

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
084
184

end0.0ms

sample330.0ms

Algorithm
intervals
Results
182.0ms7728×body80valid
12.0ms115×body1280valid
5.0ms64×body640valid
4.0ms29×body2560valid
3.0ms45×body320valid
1.0ms24×body160valid

Profiling

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