Details

Time bar (total: 3.3s)

analyze235.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%49.9%50.1%5
0%43.7%56.3%6
0%34.3%65.7%7
3.1%31.2%65.7%8
3.5%27.7%68.8%9
5.3%24.4%70.4%10
7.5%19.8%72.7%11
11.1%16.2%72.7%12
11.3%15.3%73.5%13
13.2%13%73.9%14

sample24.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
1.0ms13×body80nan
0.0ms1×body80invalid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0206
1486
21186
32476
45256
57326
69376
711086
811286
911286

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- (- (* x (log y)) y) z) (log t))
0.0b
(- (- (* x (log y)) y) z)
0.3b
(* x (log y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
28×associate--l+
22×*-un-lft-identity
21×log-prod
16×add-sqr-sqrt
14×add-log-exp
12×add-cube-cbrt
10×associate-+l+
9×distribute-rgt-in distribute-lft-in
8×pow1
6×diff-log
5×add-exp-log add-cbrt-cube
4×sub-neg associate-*r* distribute-lft-out
3×associate-+r+ associate-*l* sum-log log-pow distribute-lft-out--
1×+-commutative associate--l- associate-+l- flip3-- flip3-+ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ difference-of-squares unswap-sqr
Counts
3 → 80
Calls
3 calls:
11.0ms
(+ (- (- (* x (log y)) y) z) (log t))
7.0ms
(- (- (* x (log y)) y) z)
5.0ms
(* x (log y))

series28.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (- (- (* x (log y)) y) z) (log t))
8.0ms
(- (- (* x (log y)) y) z)
7.0ms
(* x (log y))

simplify104.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0353536
11136489
23845455
35001455

prune97.0ms

Filtered
60 candidates to 89 candidates (-48.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New84589
Fresh000
Picked011
Done000
Total84690

Merged error: 0.0b

Counts
90 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
10.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series81.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (log (cbrt y)))
20.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
20.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify237.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0362765
11356673
25002593

prune144.0ms

Filtered
87 candidates to 114 candidates (-31.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1113114
Fresh134
Picked101
Done011
Total1137120

Merged error: 0b

Counts
120 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sqrt y)) (cbrt (sqrt y)))
0.6b
(cbrt (sqrt y))
0.6b
(cbrt (sqrt y))
0.6b
(cbrt y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
43×add-sqr-sqrt
26×sqrt-prod
21×add-cube-cbrt *-un-lft-identity
11×pow1 swap-sqr
9×pow1/3 associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
7.0ms
(* (cbrt (sqrt y)) (cbrt (sqrt y)))
2.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))
1.0ms
(cbrt y)

series72.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (cbrt (sqrt y)) (cbrt (sqrt y)))
18.0ms
(cbrt (sqrt y))
16.0ms
(cbrt (sqrt y))
22.0ms
(cbrt y)

simplify151.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (144.0ms)

IterNodesCost
0258686
1856639
24521560
35001554

prune127.0ms

Filtered
65 candidates to 107 candidates (-64.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh055
Picked011
Done011
Total1077114

Merged error: 0b

Counts
114 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y))))
0.6b
(cbrt (sqrt y))
0.6b
(cbrt (sqrt y))
0.6b
(cbrt y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
21×log-prod
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×associate-+l+
9×associate-+r+ sqrt-prod
6×distribute-rgt-in distribute-lft-in
5×add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 71
Calls
4 calls:
7.0ms
(+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y))))
2.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))
3.0ms
(cbrt y)

series102.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y))))
15.0ms
(cbrt (sqrt y))
15.0ms
(cbrt (sqrt y))
20.0ms
(cbrt y)

simplify111.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0326559
1914522
23467476
35002459

prune97.0ms

Filtered
64 candidates to 83 candidates (-29.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New83083
Fresh044
Picked011
Done022
Total83790

Merged error: 0b

Counts
90 → 7

regimes597.0ms

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
0126
1126

end0.0ms

analyze231.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%49.9%50.1%5
0%43.7%56.3%6
0%34.3%65.7%7
3.1%31.2%65.7%8
3.5%27.7%68.8%9
5.3%24.4%70.4%10
7.5%19.8%72.7%11
11.1%16.2%72.7%12
11.3%15.3%73.5%13
13.2%13%73.9%14

sample667.0ms

Algorithm
intervals
Results
440.0ms7999×body80valid
15.0ms371×body80nan
2.0ms30×body80invalid
0.0ms1×body1280valid

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