Details

Time bar (total: 2.0s)

analyze280.0ms

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
0%99.9%0.1%6
12.5%87.4%0.1%7
25%74.9%0.1%8
31.2%64%4.8%9
31.2%42.1%26.7%10
35.9%37.1%27.1%11
38.2%32.2%29.6%12
47.8%21.6%30.6%13
50.2%19%30.8%14

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms20×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0409
1409

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* z (* z 3)))
0.2b
(* z (* z 3))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
4.0ms
(+ (* x y) (* z (* z 3)))
4.0ms
(* z (* z 3))

series15.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ (* x y) (* z (* z 3)))
3.0ms
(* z (* z 3))

simplify28.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05263285

prune50.0ms

Filtered
21 candidates to 35 candidates (-66.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New32335
Fresh011
Picked011
Done000
Total32537

Merged error: 0b

Counts
37 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
9×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
2 → 27
Calls
2 calls:
5.0ms
(+ (+ (* x y) (* z z)) (* z z))
8.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series24.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ (+ (* x y) (* z z)) (* z z))
12.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify64.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04859382
14859382

prune41.0ms

Filtered
22 candidates to 33 candidates (-50.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New33033
Fresh033
Picked011
Done011
Total33538

Merged error: 0b

Counts
38 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (* z 3))
0.3b
(* (sqrt (* z (* z 3))) (sqrt (* z (* z 3))))
16.3b
(sqrt (* z (* z 3)))
16.3b
(sqrt (* z (* z 3)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
4.0ms
(* z (* z 3))
12.0ms
(* (sqrt (* z (* z 3))) (sqrt (* z (* z 3))))
4.0ms
(sqrt (* z (* z 3)))
4.0ms
(sqrt (* z (* z 3)))

series20.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* z (* z 3))
10.0ms
(* (sqrt (* z (* z 3))) (sqrt (* z (* z 3))))
4.0ms
(sqrt (* z (* z 3)))
4.0ms
(sqrt (* z (* z 3)))

simplify37.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05044497

prune108.0ms

Filtered
52 candidates to 120 candidates (-130.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1200120
Fresh022
Picked011
Done022
Total1205125

Merged error: 0b

Counts
125 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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 z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series93.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt z) (cbrt z))
25.0ms
(cbrt z)
22.0ms
(cbrt z)
22.0ms
(cbrt z)

simplify39.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05084341

prune67.0ms

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

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done033
Total85590

Merged error: 0b

Counts
90 → 5

regimes306.0ms

Accuracy

0% (0.1b 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
0129
1129

end0.0ms

analyze280.0ms

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
0%99.9%0.1%6
12.5%87.4%0.1%7
25%74.9%0.1%8
31.2%64%4.8%9
31.2%42.1%26.7%10
35.9%37.1%27.1%11
38.2%32.2%29.6%12
47.8%21.6%30.6%13
50.2%19%30.8%14

sample425.0ms

Algorithm
intervals
Results
244.0ms8000×body80valid
13.0ms456×body80invalid

Profiling

Loading profile data...