Details

Time bar (total: 1.9s)

analyze41.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%50%50%2
0%50%50%3
25%25%50%4
25%25%50%5
31.2%18.7%50%6
34.3%15.6%50%7
39%10.9%50%8
40.6%8.6%50.8%9
42.9%5.9%51.2%10
43.7%4.5%51.8%11
44.9%3%52.1%12
45.3%2.3%52.4%13
45.9%1.5%52.6%14

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0ms3×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02714
12714

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (* x 9.0)))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.5b
(/ 1.0 (* x 9.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×*-un-lft-identity
11×add-cube-cbrt
6×pow1 times-frac associate-*r* associate-/l* add-log-exp
4×cbrt-undiv div-exp sqrt-prod
3×associate-*l* prod-exp cbrt-unprod
2×frac-2neg clear-num associate-/r* div-inv unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 77
Calls
4 calls:
5.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
5.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))
5.0ms
(/ 1.0 (* x 9.0))

series17.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
8.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05322695

prune139.0ms

Filtered
64 candidates to 89 candidates (-39.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New83689
Fresh000
Picked101
Done000
Total84690

Merged error: 0.0b

Counts
90 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.0b
(- 1.0 (/ 1.0 (* x 9.0)))
0.3b
(/ (/ y 3.0) (sqrt x))
0.5b
(/ 1.0 (* x 9.0))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
101×add-sqr-sqrt
90×*-un-lft-identity
83×add-cube-cbrt
44×sqrt-prod
16×associate-/l*
14×add-exp-log add-cbrt-cube
11×add-log-exp
9×div-inv
7×associate-/r*
6×difference-of-squares
5×cbrt-undiv div-exp
4×pow1 diff-log distribute-lft-out--
3×sub-neg flip3-- flip--
2×frac-2neg clear-num frac-sub
1×associate--l- prod-exp associate--l+ cbrt-unprod associate-/l/
Counts
4 → 169
Calls
4 calls:
30.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
7.0ms
(/ (/ y 3.0) (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series22.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
3.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
9.0ms
(/ (/ y 3.0) (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
057142470

prune210.0ms

Filtered
124 candidates to 181 candidates (-46.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1801181
Fresh145
Picked101
Done000
Total1825187

Merged error: 0.0b

Counts
187 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
0.0b
(- 1.0 (/ 0.1111111111111111 x))
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
148×times-frac
101×add-sqr-sqrt
87×*-un-lft-identity
80×add-cube-cbrt
44×sqrt-prod
13×associate-/l*
10×add-log-exp
8×add-exp-log add-cbrt-cube div-inv
7×difference-of-squares
6×associate-/r*
4×diff-log distribute-lft-out--
3×pow1 cbrt-undiv sub-neg flip3-- div-exp flip--
2×frac-sub
1×associate--l- frac-2neg associate--l+ clear-num associate-/l/
Counts
3 → 149
Calls
3 calls:
33.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
6.0ms
(- 1.0 (/ 0.1111111111111111 x))
7.0ms
(/ (/ y 3.0) (sqrt x))

series23.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
3.0ms
(- 1.0 (/ 0.1111111111111111 x))
11.0ms
(/ (/ y 3.0) (sqrt x))

simplify72.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049622226
149622226

prune179.0ms

Filtered
109 candidates to 158 candidates (-45.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1580158
Fresh044
Picked011
Done000
Total1585163

Merged error: 0.0b

Counts
163 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (* x 9.0)))
0.3b
(/ y (sqrt x))
0.3b
(* (/ 1 3.0) (/ y (sqrt x)))
0.5b
(/ 1.0 (* x 9.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
60×times-frac
46×*-un-lft-identity
41×add-cube-cbrt
33×add-exp-log
24×sqrt-prod
23×add-cbrt-cube
22×associate-*r*
13×associate-*l*
11×div-exp
9×prod-exp unswap-sqr
7×cbrt-undiv associate-/r*
6×pow1 associate-/l* add-log-exp
5×cbrt-unprod
4×div-inv
2×rec-exp frac-2neg 1-exp clear-num
1×frac-times sub-neg flip3-- diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 141
Calls
4 calls:
5.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
4.0ms
(/ y (sqrt x))
16.0ms
(* (/ 1 3.0) (/ y (sqrt x)))
4.0ms
(/ 1.0 (* x 9.0))

series20.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
7.0ms
(/ y (sqrt x))
8.0ms
(* (/ 1 3.0) (/ y (sqrt x)))
2.0ms
(/ 1.0 (* x 9.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049491317
149491317

prune149.0ms

Filtered
101 candidates to 153 candidates (-51.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1521153
Fresh123
Picked011
Done011
Total1535158

Merged error: 0.0b

Counts
158 → 5

regimes86.0ms

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
01314
11314

end0.0ms

analyze40.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%50%50%2
0%50%50%3
25%25%50%4
25%25%50%5
31.2%18.7%50%6
34.3%15.6%50%7
39%10.9%50%8
40.6%8.6%50.8%9
42.9%5.9%51.2%10
43.7%4.5%51.8%11
44.9%3%52.1%12
45.3%2.3%52.4%13
45.9%1.5%52.6%14

sample498.0ms

Algorithm
intervals
Results
356.0ms8000×body80valid
4.0ms96×body80invalid

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