Details

Time bar (total: 8.4s)

sample2.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 92.382813%

Results
17.0ms38×body1280valid
12.0ms41×body640valid
10.0ms155×body80valid
6.0ms18×body320valid
1.0ms4×body160valid

simplify4.0ms

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))

rewrite13.0ms

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))
4.0ms
(* x (sin y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (* x (sin y)) (* z (cos y)))
7.0ms
(* z (cos y))
7.0ms
(* x (sin y))

simplify71.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune76.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New51556
Fresh000
Picked101
Done000
Total52557

Merged error: 0.0b

Counts
57 → 5

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))

rewrite13.0ms

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))
2.0ms
(cbrt (sin y))

series78.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
20.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))

simplify117.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0161512
1596460
23671403
35002397

prune104.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh134
Picked011
Done000
Total84690

Merged error: 0.0b

Counts
90 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 38
Calls
4 calls:
1.0ms
(cbrt (sin y))
4.0ms
(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
4.0ms
(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
5.0ms
(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

series88.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(cbrt (sin y))
23.0ms
(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
24.0ms
(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
23.0ms
(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

simplify51.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0123399
1334355
21294313
35001268

prune79.0ms

Filtered
44 candidates to 50 candidates (-13.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New49150
Fresh044
Picked011
Done011
Total49756

Merged error: 0.0b

Counts
56 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

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 z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series91.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt z) (cbrt z))
24.0ms
(cbrt z)
22.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify75.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune65.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done022
Total85792

Merged error: 0.0b

Counts
92 → 7

regimes193.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01512
11512

end0.0ms

sample4.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 92.382813%

Results
702.0ms1519×body1280valid
355.0ms1196×body640valid
303.0ms4332×body80valid
127.0ms649×body320valid
47.0ms304×body160valid

Profiling

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