Details

Time bar (total: 5.8s)

sample1.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.890625%

Results
23.0ms52×body1280valid
12.0ms41×body640valid
9.0ms136×body80valid
3.0ms14×body320valid
2.0ms13×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (sin y)) (* z (cos y)))
0.1b
(* z (cos y))
0.1b
(* x (sin y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
4.0ms
(+ (* x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))
7.0ms
(* x (sin y))

series31.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (* x (sin y)) (* z (cos y)))
7.0ms
(* z (cos y))
8.0ms
(* x (sin y))

simplify69.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune101.0ms

Filtered
40 candidates to 56 candidates (-40.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New441256
Fresh000
Picked101
Done000
Total451257

Merged error: 0.0b

Counts
57 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series78.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))

simplify104.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune123.0ms

Filtered
60 candidates to 85 candidates (-41.7%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh11011
Picked101
Done000
Total851297

Merged error: 0.0b

Counts
97 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))

rewrite6.0ms

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 (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series69.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))
18.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))

simplify122.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
050228
1148208
2479200
32496200
45003200

prune99.0ms

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

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh01111
Picked011
Done000
Total561268

Merged error: 0.0b

Counts
68 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series78.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
19.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))

simplify113.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
0161512
1596460
23671403
35002397

prune88.0ms

Filtered
60 candidates to 85 candidates (-41.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh4610
Picked101
Done011
Total871097

Merged error: 0.0b

Counts
97 → 10

regimes241.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921
11921

end0.0ms

sample3.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.890625%

Results
701.0ms1540×body1280valid
339.0ms1211×body640valid
293.0ms4306×body80valid
126.0ms643×body320valid
40.0ms300×body160valid

Profiling

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