Details

Time bar (total: 3.7s)

analyze253.0ms

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

sample55.0ms

Algorithm
intervals
Results
21.0ms47×body1280valid
11.0ms40×body640valid
9.0ms142×body80valid
3.0ms18×body320valid
1.0ms9×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0109
1109

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

localize13.0ms

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
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×sub-neg flip3-- diff-log flip--
Counts
3 → 47
Calls
3 calls:
3.0ms
(- (* x (cos y)) (* z (sin y)))
4.0ms
(* x (cos y))
4.0ms
(* z (sin y))

series28.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(- (* x (cos y)) (* z (sin y)))
6.0ms
(* x (cos y))
7.0ms
(* z (sin y))

simplify35.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04961397
14961397

prune86.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New48856
Fresh000
Picked101
Done000
Total49857

Merged error: 0.0b

Counts
57 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

series88.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt x) (cbrt x))
23.0ms
(cbrt x)
21.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify40.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05084341

prune83.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh167
Picked011
Done000
Total85893

Merged error: 0.0b

Counts
93 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x (cos y)) (* z (sin y)))) (cbrt (- (* x (cos y)) (* z (sin y)))))
0.6b
(cbrt (- (* x (cos y)) (* z (sin y))))
0.6b
(cbrt (- (* x (cos y)) (* z (sin y))))
0.6b
(cbrt (- (* x (cos y)) (* z (sin y))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
10.0ms
(* (cbrt (- (* x (cos y)) (* z (sin y)))) (cbrt (- (* x (cos y)) (* z (sin y)))))
3.0ms
(cbrt (- (* x (cos y)) (* z (sin y))))
3.0ms
(cbrt (- (* x (cos y)) (* z (sin y))))
3.0ms
(cbrt (- (* x (cos y)) (* z (sin y))))

series237.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (cbrt (- (* x (cos y)) (* z (sin y)))) (cbrt (- (* x (cos y)) (* z (sin y)))))
56.0ms
(cbrt (- (* x (cos y)) (* z (sin y))))
54.0ms
(cbrt (- (* x (cos y)) (* z (sin y))))
58.0ms
(cbrt (- (* x (cos y)) (* z (sin y))))

simplify60.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049111780
149111780

prune128.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh066
Picked011
Done011
Total989107

Merged error: 0.0b

Counts
107 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
1.1b
(pow (cbrt (cbrt x)) 5)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
3.0ms
(pow (cbrt (cbrt x)) 5)

series126.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
29.0ms
(cbrt (cbrt x))
29.0ms
(cbrt (cbrt x))
46.0ms
(pow (cbrt (cbrt x)) 5)

simplify56.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05064437

prune83.0ms

Filtered
53 candidates to 75 candidates (-41.5%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New75075
Fresh066
Picked011
Done022
Total75984

Merged error: 0.0b

Counts
84 → 9

regimes294.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01416
11416

end0.0ms

analyze245.0ms

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
677.0ms1491×body1280valid
337.0ms1221×body640valid
291.0ms4321×body80valid
128.0ms659×body320valid
46.0ms308×body160valid

Profiling

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