Details

Time bar (total: 6.0s)

sample1.9s

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

simplify16.0ms

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) y)
0.3b
(* x (log y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×associate--l+
12×add-sqr-sqrt log-prod
10×*-un-lft-identity
8×add-cube-cbrt
7×add-log-exp
6×distribute-rgt-in distribute-lft-in
5×pow1
4×add-exp-log associate-*r* add-cbrt-cube
3×diff-log associate-*l*
2×sub-neg
1×associate--l- flip3-- pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
7.0ms
(- (- (* x (log y)) z) y)
4.0ms
(* x (log y))

series15.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(- (- (* x (log y)) z) y)
7.0ms
(* x (log y))

simplify47.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0229284
1693253
22061235
35002235

prune66.0ms

Filtered
36 candidates to 55 candidates (-52.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New49655
Fresh000
Picked011
Done000
Total49756

Merged error: 0.0b

Counts
56 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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)))
9.0ms
(+ (* 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)))
23.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
21.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify51.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0362765
11356673
25002593

prune166.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1122114
Fresh505
Picked011
Done011
Total1174121

Merged error: 0b

Counts
121 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt (sqrt y))))
0.6b
(cbrt y)
0.6b
(cbrt (sqrt y))
0.6b
(cbrt (sqrt y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
19×add-sqr-sqrt
18×log-prod
17×add-cube-cbrt *-un-lft-identity
12×sqrt-prod
9×distribute-rgt-in distribute-lft-in
7×pow1
6×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1/3 add-log-exp
3×associate-*l*
2×log-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 77
Calls
4 calls:
6.0ms
(* x (log (cbrt (sqrt y))))
1.0ms
(cbrt y)
2.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))

series71.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (log (cbrt (sqrt y))))
21.0ms
(cbrt y)
15.0ms
(cbrt (sqrt y))
16.0ms
(cbrt (sqrt y))

simplify141.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
0288553
11005504
24693463
35001444

prune90.0ms

Filtered
57 candidates to 89 candidates (-56.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh011
Picked011
Done022
Total89493

Merged error: 0b

Counts
93 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
5.1b
(pow y 1/3)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
52×log-prod
40×distribute-rgt-in distribute-lft-in
28×associate-+l+
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
15×cbrt-prod unpow-prod-down
12×associate-+r+
8×pow1
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×associate-*r* sqr-pow
3×pow-unpow associate-*l*
2×pow1/3 log-pow
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 113
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
10.0ms
(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series89.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (log (cbrt y)))
29.0ms
(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
21.0ms
(cbrt y)
19.0ms
(pow y 1/3)

simplify64.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0492803
11911693
25001507

prune165.0ms

Filtered
89 candidates to 125 candidates (-40.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1250125
Fresh000
Picked011
Done033
Total1254129

Merged error: 0b

Counts
129 → 4

regimes209.0ms

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

sample2.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 49.902344%

Guaranteed chance to sample good point: 86.251218%

Results
299.0ms7999×body80valid
1.0ms38×body80invalid
1.0ms23×body80nan
0.0ms1×body320valid

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