Details

Time bar (total: 2.8s)

sample451.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 49.902344%

Guaranteed chance to sample good point: 86.251218%

Results
12.0ms256×body80valid
0.0ms1×body80invalid
0.0ms1×body80nan

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2414
3524
4854
51064
61414
72154
82364
92364

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×distribute-rgt-in distribute-lft-in associate--l+
5×pow1
4×add-exp-log associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
1×sub-neg flip3-- diff-log pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 43
Calls
2 calls:
4.0ms
(- (* x (log y)) z)
4.0ms
(* x (log y))

series19.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(- (* x (log y)) z)
8.0ms
(* x (log y))

simplify43.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0186226
1559202
21662185
35002185

prune56.0ms

Filtered
32 candidates to 49 candidates (-53.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New45449
Fresh000
Picked011
Done000
Total45550

Merged error: 0.0b

Counts
50 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.4b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite41.0ms

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:
9.0ms
(* x (log (cbrt y)))
21.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series86.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* x (log (cbrt y)))
21.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
21.0ms
(cbrt y)
23.0ms
(cbrt y)

simplify47.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0362765
11356673
25002593

prune124.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1122114
Fresh303
Picked101
Done011
Total1163119

Merged error: 0b

Counts
119 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

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))))
1.0ms
(cbrt y)
2.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))

series104.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y))))
21.0ms
(cbrt y)
15.0ms
(cbrt (sqrt y))
15.0ms
(cbrt (sqrt y))

simplify115.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0326559
1914522
23467476
35002459

prune102.0ms

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

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh011
Picked011
Done011
Total83386

Merged error: 0b

Counts
86 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (pow y 1/3)))
0.4b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
0.6b
(cbrt y)
5.1b
(pow y 1/3)

rewrite23.0ms

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:
5.0ms
(* 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)

series89.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* x (log (pow y 1/3)))
28.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
21.0ms
(cbrt y)
24.0ms
(pow y 1/3)

simplify65.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0460798
11882686
25002512

prune158.0ms

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

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1240124
Fresh000
Picked011
Done022
Total1243127

Merged error: 0b

Counts
127 → 3

regimes182.0ms

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
084
184

end0.0ms

sample1.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 49.902344%

Guaranteed chance to sample good point: 86.251218%

Results
322.0ms8000×body80valid
1.0ms29×body80invalid
0.0ms10×body80nan

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