Details

Time bar (total: 3.3s)

sample59.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
23.0ms52×body1280valid
10.0ms36×body640valid
9.0ms143×body80valid
3.0ms17×body320valid
1.0ms8×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

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

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))

rewrite12.0ms

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))

series223.0ms

Counts
3 → 9
Calls
3 calls:
208.0ms
(+ (* x (sin y)) (* z (cos y)))
7.0ms
(* z (cos y))
7.0ms
(* x (sin y))

simplify70.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune86.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New48856
Fresh000
Picked101
Done000
Total49857

Merged error: 0.1b

Counts
57 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
5.9b
(cbrt (* x (sin y)))
5.9b
(cbrt (* x (sin y)))
5.9b
(cbrt (* x (sin y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
5.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
2.0ms
(cbrt (* x (sin y)))
2.0ms
(cbrt (* x (sin y)))
2.0ms
(cbrt (* x (sin y)))

series110.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
24.0ms
(cbrt (* x (sin y)))
24.0ms
(cbrt (* x (sin y)))
27.0ms
(cbrt (* x (sin y)))

simplify92.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0196476
1665424
23243382
35001361

prune119.0ms

Filtered
53 candidates to 70 candidates (-32.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New66470
Fresh077
Picked101
Done000
Total671178

Merged error: 0.0b

Counts
78 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (sin y))
5.9b
(cbrt (* x (sin y)))
5.9b
(cbrt (* x (sin y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (* x (sin y)))
2.0ms
(cbrt (* x (sin y)))

series92.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
21.0ms
(cbrt (sin y))
24.0ms
(cbrt (* x (sin y)))
24.0ms
(cbrt (* x (sin y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0168280
1396257
21331235
35001194

prune93.0ms

Filtered
42 candidates to 52 candidates (-23.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New52052
Fresh01010
Picked011
Done000
Total521163

Merged error: 0.0b

Counts
63 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite10.0ms

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:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series95.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt x) (cbrt x))
22.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune69.0ms

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

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New83285
Fresh189
Picked011
Done011
Total841296

Merged error: 0.0b

Counts
96 → 12

regimes253.0ms

Accuracy

0% (0.5b 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
01915
11915

end0.0ms

sample1.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
672.0ms1485×body1280valid
352.0ms1274×body640valid
283.0ms4298×body80valid
121.0ms622×body320valid
47.0ms321×body160valid

Profiling

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