Details

Time bar (total: 2.5s)

sample14.0ms

Algorithm
intervals
Results
5.0ms242×body80valid
1.0ms6×body1280valid
0.0ms3×body640valid
0.0ms3×body320valid
0.0ms2×body160valid

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: 0.1b

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

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify117.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
083100
120791
248191
3128891
4389991
5500291

prune36.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite36.0ms

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:
16.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
53.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
59.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
58.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03641473
112021394
250011293

prune285.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1034107
Fresh022
Picked011
Done011
Total1038111

Merged error: 0.0b

Counts
111 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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

series225.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
57.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
53.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
57.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0206844
1579800
22056788
35001776

prune279.0ms

Filtered
68 candidates to 60 candidates (88.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh055
Picked011
Done022
Total68876

Merged error: 0.0b

Counts
76 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
82×cbrt-prod
39×*-un-lft-identity
37×add-sqr-sqrt
30×cbrt-div
19×add-cube-cbrt
12×swap-sqr
11×pow1
10×associate-*r* associate-*l*
9×flip3-+ pow1/3 flip-+ distribute-lft-out unswap-sqr
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
18.0ms
(* (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

series218.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
57.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
53.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
54.0ms
(* (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03921924
112521837
250021673

prune364.0ms

Filtered
121 candidates to 84 candidates (69.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1201121
Fresh044
Picked101
Done033
Total1218129

Merged error: 0.0b

Counts
129 → 8

regimes106.0ms

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

sample317.0ms

Algorithm
intervals
Results
165.0ms7709×body80valid
10.0ms107×body1280valid
6.0ms73×body640valid
5.0ms45×body2560valid
2.0ms40×body320valid
1.0ms26×body160valid