Details

Time bar (total: 4.2s)

sample823.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
15.0ms34×body1280valid
10.0ms174×body80valid
7.0ms26×body640valid
3.0ms14×body320valid
1.0msbody160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1205
2225
3225

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 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l* sum-log
+-commutative associate-+l+ flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 31
Calls
2 calls:
5.0ms
(+ (+ x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))

series17.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (+ x (sin y)) (* z (cos y)))
7.0ms
(* z (cos y))

simplify62.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0152192
1605176
22510176
35001176

prune56.0ms

Filtered
26 candidates to 37 candidates (-42.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New31637
Fresh000
Picked011
Done000
Total31738

Merged error: 0.0b

Counts
38 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(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
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series75.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
16.0ms
(cbrt (cos y))
16.0ms
(cbrt (cos y))
16.0ms
(cbrt (cos y))

simplify103.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune87.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done011
Total85792

Merged error: 0.0b

Counts
92 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
7.0ms
(* (cbrt z) (cbrt z))

series87.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
20.0ms
(cbrt z)
20.0ms
(cbrt z)
23.0ms
(* (cbrt z) (cbrt z))

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0148349
1479322
22283265
35001252

prune115.0ms

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

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh134
Picked011
Done022
Total85792

Merged error: 0.0b

Counts
92 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b
(cbrt (* z (cos y)))
0.6b
(cbrt (* z (cos y)))
0.6b
(cbrt (* z (cos y)))

rewrite13.0ms

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

series98.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
21.0ms
(cbrt (* z (cos y)))
22.0ms
(cbrt (* z (cos y)))
24.0ms
(cbrt (* z (cos y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0183458
1597407
22879365
35002343

prune70.0ms

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

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New70070
Fresh033
Picked011
Done033
Total70777

Merged error: 0.0b

Counts
77 → 7

regimes240.0ms

Accuracy

0% (0.0b 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
0115
1115

end0.0ms

sample2.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
431.0ms962×body1280valid
340.0ms5568×body80valid
226.0ms845×body640valid
80.0ms411×body320valid
32.0ms213×body160valid
2.0msbody2560valid

Profiling

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