Details

Time bar (total: 3.7s)

analyze470.0ms

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
25%74.9%0.1%6
49.9%49.9%0.1%7
56.2%43.7%0.1%8
56.2%43.7%0.1%9
71.8%28.1%0.1%10
76.5%23.4%0.1%11
76.5%23.4%0.1%12
85%14.8%0.1%13
87.8%12.1%0.1%14

sample56.0ms

Algorithm
intervals
Results
21.0ms46×body1280valid
11.0ms41×body640valid
9.0ms143×body80valid
3.0ms16×body320valid
1.0ms10×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 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
2 → 36
Calls
2 calls:
4.0ms
(* x (sin y))
4.0ms
(* z (cos y))

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (sin y))
8.0ms
(* z (cos y))

simplify93.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0118145
1439125
21037125
31579125
43660125
55002125

prune72.0ms

Filtered
28 candidates to 42 candidates (-50.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New34842
Fresh000
Picked101
Done000
Total35843

Merged error: 0.0b

Counts
43 → 8

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
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 (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series77.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
19.0ms
(cbrt (sin y))
17.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))

simplify118.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
0161512
1596460
23671403
35002397

prune115.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh167
Picked101
Done000
Total85893

Merged error: 0.0b

Counts
93 → 8

localize13.0ms

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)

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 x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series91.0ms

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

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0148349
1471322
22276265
35002253

prune98.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh077
Picked011
Done000
Total84993

Merged error: 0.0b

Counts
93 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (cbrt (sin y)))
5.0ms
(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

series78.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
19.0ms
(cbrt (cbrt (sin y)))
23.0ms
(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

simplify64.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0166373
1433343
21638313
35001264

prune63.0ms

Filtered
46 candidates to 57 candidates (-23.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New57057
Fresh077
Picked011
Done011
Total57966

Merged error: 0.0b

Counts
66 → 9

regimes218.0ms

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
01510
11510

end0.0ms

analyze271.0ms

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
25%74.9%0.1%6
49.9%49.9%0.1%7
56.2%43.7%0.1%8
56.2%43.7%0.1%9
71.8%28.1%0.1%10
76.5%23.4%0.1%11
76.5%23.4%0.1%12
85%14.8%0.1%13
87.8%12.1%0.1%14

sample1.7s

Algorithm
intervals
Results
678.0ms1485×body1280valid
346.0ms1287×body640valid
287.0ms4304×body80valid
119.0ms640×body320valid
41.0ms284×body160valid

Profiling

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