Details

Time bar (total: 2.2s)

analyze115.0ms

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
25%74.9%0.1%5
37.5%62.4%0.1%6
50%46.8%3.2%7
56.2%37.5%6.3%8
62.4%25.8%11.8%9
65.6%20.3%14.1%10
68.7%13.5%17.9%11
70.2%10.5%19.2%12
71.8%6.9%21.3%13
72.6%5.4%22%14

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
0.0ms6×body80invalid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1655
21755
34755
411835
550015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
4.4b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
12×flip3-- flip--
10×add-sqr-sqrt
8×frac-times *-un-lft-identity associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*l/
2×distribute-rgt-in sub-neg distribute-lft-in distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 63
Calls
2 calls:
8.0ms
(* (- 1.0 x) (- 3.0 x))
10.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series9.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(* (- 1.0 x) (- 3.0 x))
7.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0413460
12310393
25001393

prune90.0ms

Filtered
47 candidates to 69 candidates (-46.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New64569
Fresh000
Picked101
Done000
Total65570

Merged error: 0.0b

Counts
70 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.0b
(/ (- 3.0 x) 3.0)
0.1b
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
69×*-un-lft-identity
64×times-frac
41×add-cube-cbrt
19×add-exp-log associate-*r* associate-*l* add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
10×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
3×add-log-exp
2×flip3-- frac-2neg div-sub clear-num flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 138
Calls
3 calls:
5.0ms
(/ (- 1.0 x) y)
6.0ms
(/ (- 3.0 x) 3.0)
18.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series15.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (- 1.0 x) y)
3.0ms
(/ (- 3.0 x) 3.0)
7.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0559898
12363816
25002815

prune186.0ms

Filtered
104 candidates to 147 candidates (-41.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1443147
Fresh314
Picked101
Done000
Total1484152

Merged error: 0b

Counts
152 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 3.0 x) 3.0)
0.1b
(/ (/ (- 3.0 x) 3.0) y)
0.1b
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
178×add-sqr-sqrt
169×*-un-lft-identity
117×add-cube-cbrt
61×associate-*r*
26×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-exp-log add-cbrt-cube
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1 associate-*l*
3×flip3-- div-sub prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num
1×associate-*r/ pow-prod-down *-commutative
Counts
3 → 222
Calls
3 calls:
5.0ms
(/ (- 3.0 x) 3.0)
8.0ms
(/ (/ (- 3.0 x) 3.0) y)
23.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series16.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ (- 3.0 x) 3.0)
5.0ms
(/ (/ (- 3.0 x) 3.0) y)
7.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify109.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07941722
139861628
250011628

prune414.0ms

Filtered
170 candidates to 231 candidates (-35.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2310231
Fresh033
Picked011
Done000
Total2314235

Merged error: 0b

Counts
235 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* 0.3333333333333333 x))
0.0b
(/ (- 1.0 x) y)
0.1b
(* (/ (- 1.0 x) y) (- 1.0 (* 0.3333333333333333 x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*l*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
4×flip3-- flip--
3×sub-neg associate-*r* associate-/r*
2×cbrt-undiv distribute-rgt-in frac-times distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×frac-2neg diff-log div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 96
Calls
3 calls:
2.0ms
(- 1.0 (* 0.3333333333333333 x))
5.0ms
(/ (- 1.0 x) y)
10.0ms
(* (/ (- 1.0 x) y) (- 1.0 (* 0.3333333333333333 x)))

series15.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 1.0 (* 0.3333333333333333 x))
4.0ms
(/ (- 1.0 x) y)
7.0ms
(* (/ (- 1.0 x) y) (- 1.0 (* 0.3333333333333333 x)))

simplify48.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0388641
11485586
25001583

prune111.0ms

Filtered
73 candidates to 105 candidates (-43.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh022
Picked011
Done011
Total1054109

Merged error: 0b

Counts
109 → 4

regimes135.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

analyze117.0ms

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
25%74.9%0.1%5
37.5%62.4%0.1%6
50%46.8%3.2%7
56.2%37.5%6.3%8
62.4%25.8%11.8%9
65.6%20.3%14.1%10
68.7%13.5%17.9%11
70.2%10.5%19.2%12
71.8%6.9%21.3%13
72.6%5.4%22%14

sample459.0ms

Algorithm
intervals
Results
293.0ms8000×body80valid
11.0ms308×body80invalid

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