Details

Time bar (total: 3.5s)

analyze270.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
37.4%62.4%0.1%6
49.9%49.9%0.1%7
62.4%37.4%0.1%8
62.4%37.4%0.1%9
71.8%28.1%0.1%10
79.6%20.3%0.1%11
79.6%20.3%0.1%12
85%14.8%0.1%13
89.3%10.5%0.1%14

sample60.0ms

Algorithm
intervals
Results
24.0ms53×body1280valid
9.0ms34×body640valid
9.0ms131×body80valid
5.0ms24×body320valid
2.0ms14×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0119
1119

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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

series32.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (* x (cos y)) (* z (sin y)))
8.0ms
(* x (cos y))
8.0ms
(* z (sin y))

simplify53.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04934392
14934392

prune87.0ms

Filtered
39 candidates to 56 candidates (-43.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New49756
Fresh000
Picked101
Done000
Total50757

Merged error: 0.0b

Counts
57 → 7

localize13.0ms

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))

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:
6.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series90.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
19.0ms
(cbrt (cos y))
19.0ms
(cbrt (cos y))
19.0ms
(cbrt (cos y))

simplify43.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05034459

prune95.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New84185
Fresh066
Picked101
Done000
Total85792

Merged error: 0.0b

Counts
92 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (pow (cos y) 2) 1/3)
0.2b
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×unpow-prod-down
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×prod-exp
pow-exp
add-cbrt-cube
pow1
cbrt-prod pow-unpow associate-*r*
pow-to-exp cbrt-unprod
add-log-exp
sqr-pow
pow-pow unpow1/3 unpow2
pow1/3 associate-*l* pow-prod-down *-commutative
Counts
4 → 79
Calls
4 calls:
4.0ms
(pow (pow (cos y) 2) 1/3)
9.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series60.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(pow (pow (cos y) 2) 1/3)
8.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
20.0ms
(cbrt (cos y))

simplify46.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05003496

prune115.0ms

Filtered
54 candidates to 91 candidates (-68.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New91091
Fresh066
Picked011
Done000
Total91798

Merged error: 0.0b

Counts
98 → 7

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
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:
7.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series93.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
21.0ms
(cbrt (sin y))
21.0ms
(cbrt (sin y))
24.0ms
(cbrt (sin y))

simplify66.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05434488

prune82.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh055
Picked101
Done011
Total85792

Merged error: 0.0b

Counts
92 → 7

regimes210.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01817
11817

end0.0ms

analyze262.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
37.4%62.4%0.1%6
49.9%49.9%0.1%7
62.4%37.4%0.1%8
62.4%37.4%0.1%9
71.8%28.1%0.1%10
79.6%20.3%0.1%11
79.6%20.3%0.1%12
85%14.8%0.1%13
89.3%10.5%0.1%14

sample1.7s

Algorithm
intervals
Results
715.0ms1526×body1280valid
350.0ms1208×body640valid
285.0ms4313×body80valid
122.0ms629×body320valid
49.0ms324×body160valid

Profiling

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