Details

Time bar (total: 2.2s)

sample18.0ms

Algorithm
intervals
Results
6.0ms244×body80valid
1.0ms5×body1280valid
0.0ms3×body640valid
0.0ms2×body2560valid
0.0ms1×body320valid
0.0ms1×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
01818
11818

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

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))

series5.0ms

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

simplify57.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04944171
14944171

prune33.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
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)))

rewrite39.0ms

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)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
21.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
051061940

prune226.0ms

Filtered
71 candidates to 107 candidates (-50.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh022
Picked101
Done011
Total1065111

Merged error: 0.0b

Counts
111 → 5

localize16.0ms

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
17×*-un-lft-identity
10×cbrt-div
9×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 → 59
Calls
4 calls:
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
7.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series78.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify34.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
049771222
149771222

prune248.0ms

Filtered
59 candidates to 71 candidates (-20.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New69271
Fresh033
Picked011
Done011
Total69776

Merged error: 0.0b

Counts
76 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.5b
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
1.2b
(pow (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 6)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
37×cbrt-prod
21×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
10×unpow-prod-down cbrt-div
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube distribute-lft-out add-log-exp
3×pow-unpow flip3-+ flip-+
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 73
Calls
4 calls:
8.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
7.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
7.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
9.0ms
(pow (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 6)

series105.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
20.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
41.0ms
(pow (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 6)

simplify66.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049671532
149671532

prune360.0ms

Filtered
63 candidates to 85 candidates (-34.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done022
Total85792

Merged error: 0.0b

Counts
92 → 7

regimes190.0ms

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 (1.0ms)

IterNodesCost
0188
1188

end0.0ms

sample407.0ms

Algorithm
intervals
Results
177.0ms7710×body80valid
13.0ms121×body1280valid
6.0ms71×body640valid
5.0ms36×body2560valid
3.0ms40×body320valid
1.0ms22×body160valid

Profiling

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