Details

Time bar (total: 3.2s)

analyze251.0ms

Algorithm
search

sample25.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
0.0ms9×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

prune4.0ms

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)
0.3b
(* x (log y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
21×log-prod
20×*-un-lft-identity associate--l+
14×add-sqr-sqrt
12×add-cube-cbrt
11×add-log-exp
10×associate-+l+
9×distribute-rgt-in distribute-lft-in
8×pow1
5×add-exp-log add-cbrt-cube
4×diff-log associate-*r* distribute-lft-out
3×sub-neg associate-+r+ associate-*l* sum-log log-pow
2×distribute-lft-out--
1×+-commutative associate-+l- flip3-- flip3-+ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
Counts
3 → 74
Calls
3 calls:
13.0ms
(+ (- (- (* x (log y)) y) z) (log t))
4.0ms
(- (* x (log y)) y)
4.0ms
(* x (log y))

series29.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (- (- (* x (log y)) y) z) (log t))
9.0ms
(- (* x (log y)) y)
7.0ms
(* x (log y))

simplify82.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0357487
11130439
23828405
35001405

prune97.0ms

Filtered
56 candidates to 83 candidates (-48.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New77683
Fresh000
Picked011
Done000
Total77784

Merged error: 0.0b

Counts
84 → 7

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)

rewrite21.0ms

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)

series84.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (log (cbrt y)))
20.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
23.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify49.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0362765
11356673
25002593

prune143.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1113114
Fresh415
Picked101
Done011
Total1165121

Merged error: 0.0b

Counts
121 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series90.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
22.0ms
(cbrt y)
22.0ms
(cbrt y)
24.0ms
(cbrt y)

simplify121.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (23.0ms)

IterNodesCost
059204
1101188
2205148
3559144
42708128
55002128

prune87.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh033
Picked011
Done011
Total56561

Merged error: 0.0b

Counts
61 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (pow y 1/3)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
0.6b
(cbrt y)
5.2b
(pow y 1/3)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
52×log-prod
38×distribute-rgt-in distribute-lft-in
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
24×associate-+l+
15×cbrt-prod unpow-prod-down
14×associate-+r+
7×pow1 add-exp-log
6×add-cbrt-cube add-log-exp
5×sqr-pow
4×associate-*r*
3×pow-unpow associate-*l*
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 112
Calls
4 calls:
7.0ms
(* x (log (pow y 1/3)))
10.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series86.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* x (log (pow y 1/3)))
27.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
21.0ms
(cbrt y)
20.0ms
(pow y 1/3)

simplify61.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0460798
11882686
25002512

prune160.0ms

Filtered
89 candidates to 124 candidates (-39.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1231124
Fresh022
Picked101
Done022
Total1245129

Merged error: 0b

Counts
129 → 5

regimes726.0ms

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
02719
12719

end0.0ms

analyze244.0ms

Algorithm
search

sample677.0ms

Algorithm
intervals
Results
441.0ms8000×body80valid
15.0ms358×body80nan
2.0ms38×body80invalid

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