Details

Time bar (total: 1.0s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14

sample12.0ms

Algorithm
intervals
Results
5.0ms236×body80valid
1.0ms9×body1280valid
0.0ms4×body640valid
0.0ms5×body320valid
0.0ms2×body160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
04829
14829

prune6.0ms

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: 0.1b

Counts
2 → 2

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 2.0 (* x 3.0))
0.1b
(* 3.0 (- 2.0 (* x 3.0)))
0.1b
(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*r*
5×add-log-exp
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg flip3-- flip--
2×associate-*l/ *-commutative
1×distribute-rgt-in distribute-lft-in diff-log unswap-sqr
Counts
3 → 53
Calls
3 calls:
3.0ms
(- 2.0 (* x 3.0))
5.0ms
(* 3.0 (- 2.0 (* x 3.0)))
10.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

series15.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- 2.0 (* x 3.0))
4.0ms
(* 3.0 (- 2.0 (* x 3.0)))
7.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify47.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04944551
14944551

prune88.0ms

Filtered
44 candidates to 62 candidates (-40.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New56662
Fresh011
Picked101
Done000
Total57764

Merged error: 0.0b

Counts
64 → 7

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 6.0 (* x 9.0))
0.1b
(* x (- 6.0 (* x 9.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×flip3-- associate-*r/ flip--
1×distribute-rgt-in distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
3.0ms
(- 6.0 (* x 9.0))
5.0ms
(* x (- 6.0 (* x 9.0)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- 6.0 (* x 9.0))
6.0ms
(* x (- 6.0 (* x 9.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04942331
14942331

prune58.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh246
Picked011
Done000
Total38846

Merged error: 0.0b

Counts
46 → 8

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 2.0 (* 3.0 x))
0.1b
(* x (- 2.0 (* 3.0 x)))
0.1b
(* 3.0 (* x (- 2.0 (* 3.0 x))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×sub-neg
6×add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l*
5×distribute-rgt-in distribute-lft-in add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×flip3-- flip--
2×*-commutative
1×diff-log unswap-sqr
Counts
3 → 57
Calls
3 calls:
3.0ms
(- 2.0 (* 3.0 x))
5.0ms
(* x (- 2.0 (* 3.0 x)))
7.0ms
(* 3.0 (* x (- 2.0 (* 3.0 x))))

series16.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 2.0 (* 3.0 x))
6.0ms
(* x (- 2.0 (* 3.0 x)))
7.0ms
(* 3.0 (* x (- 2.0 (* 3.0 x))))

simplify53.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04945604
14945604

prune76.0ms

Filtered
40 candidates to 66 candidates (-65.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New63366
Fresh336
Picked101
Done011
Total67774

Merged error: 0b

Counts
74 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 2.0) (* 3.0 (* x (neg x))))
0.1b
(* 3.0 (+ (* x 2.0) (* 3.0 (* x (neg x)))))
0.2b
(* 3.0 (* x (neg x)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*l*
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
2×flip3-+ associate-*r/ *-commutative flip-+
1×+-commutative distribute-rgt-in distribute-lft-in unsub-neg sum-log unswap-sqr
Counts
3 → 53
Calls
3 calls:
4.0ms
(+ (* x 2.0) (* 3.0 (* x (neg x))))
6.0ms
(* 3.0 (+ (* x 2.0) (* 3.0 (* x (neg x)))))
5.0ms
(* 3.0 (* x (neg x)))

series18.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ (* x 2.0) (* 3.0 (* x (neg x))))
8.0ms
(* 3.0 (+ (* x 2.0) (* 3.0 (* x (neg x)))))
3.0ms
(* 3.0 (* x (neg x)))

simplify51.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
06034564

prune65.0ms

Filtered
43 candidates to 62 candidates (-44.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New61162
Fresh235
Picked011
Done011
Total63669

Merged error: 0b

Counts
69 → 6

regimes33.0ms

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 (1.0ms)

IterNodesCost
0347
1347

end0.0ms

sample324.0ms

Algorithm
intervals
Results
166.0ms7194×body80valid
33.0ms333×body1280valid
20.0ms249×body640valid
14.0ms143×body320valid
3.0ms81×body160valid
0.0ms2×body80invalid

Profiling

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