Details

Time bar (total: 1.6s)

analyze104.0ms

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

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms4×body80invalid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
0502211

prune8.0ms

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: 0.6b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
0.7b
(/ (- 3.0 x) (* 3.0 y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
15×*-un-lft-identity
10×times-frac
9×associate-*r*
7×add-cube-cbrt
5×associate-*l* prod-exp cbrt-unprod associate-/l*
4×pow1 cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
3×flip3-- flip--
2×frac-times associate-*l/ div-inv associate-/l/ add-log-exp
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 63
Calls
2 calls:
11.0ms
(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
6.0ms
(/ (- 3.0 x) (* 3.0 y))

series12.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
5.0ms
(/ (- 3.0 x) (* 3.0 y))

simplify33.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05247766

prune87.0ms

Filtered
49 candidates to 69 candidates (-40.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New66369
Fresh011
Picked101
Done000
Total67471

Merged error: 0.0b

Counts
71 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1 y) (/ x (* 3.0 y)))
0.1b
(* (- 1.0 x) (- (/ 1 y) (/ x (* 3.0 y))))
0.2b
(/ x (* 3.0 y))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
17×*-un-lft-identity
10×add-exp-log add-cbrt-cube
8×flip3-- associate-*r* flip--
7×add-cube-cbrt times-frac difference-of-squares
6×frac-times
5×pow1 associate-*l* distribute-lft-out-- add-log-exp
4×frac-sub
3×sub-neg associate-*r/ div-inv associate-/l*
2×cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod
1×distribute-rgt-in frac-2neg distribute-lft-in diff-log pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
3 → 76
Calls
3 calls:
16.0ms
(- (/ 1 y) (/ x (* 3.0 y)))
30.0ms
(* (- 1.0 x) (- (/ 1 y) (/ x (* 3.0 y))))
7.0ms
(/ x (* 3.0 y))

series26.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(- (/ 1 y) (/ x (* 3.0 y)))
12.0ms
(* (- 1.0 x) (- (/ 1 y) (/ x (* 3.0 y))))
6.0ms
(/ x (* 3.0 y))

simplify46.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
055761161

prune97.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done000
Total85489

Merged error: 0.0b

Counts
89 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 3.0 x) y)
0.0b
(/ (- 1.0 x) 3.0)
0.3b
(* (/ (- 1.0 x) 3.0) (/ (- 3.0 x) y))

rewrite32.0ms

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
(/ (- 3.0 x) y)
5.0ms
(/ (- 1.0 x) 3.0)
16.0ms
(* (/ (- 1.0 x) 3.0) (/ (- 3.0 x) y))

series18.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ (- 3.0 x) y)
3.0ms
(/ (- 1.0 x) 3.0)
7.0ms
(* (/ (- 1.0 x) 3.0) (/ (- 3.0 x) y))

simplify44.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
058411583

prune170.0ms

Filtered
106 candidates to 147 candidates (-38.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1461147
Fresh112
Picked011
Done011
Total1474151

Merged error: 0b

Counts
151 → 4

localize7.0ms

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×sub-neg distribute-lft-out-- add-log-exp difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 61
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))

simplify23.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
05149793

prune73.0ms

Filtered
47 candidates to 67 candidates (-42.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New67067
Fresh011
Picked011
Done022
Total67471

Merged error: 0b

Counts
71 → 4

regimes189.0ms

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
01413
11413

end0.0ms

analyze96.0ms

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

sample374.0ms

Algorithm
intervals
Results
240.0ms8000×body80valid
9.0ms317×body80invalid

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