Details

Time bar (total: 1.4s)

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

sample24.0ms

Algorithm
intervals
Results
4.0ms219×body80valid
1.0ms13×body1280valid
1.0ms12×body640valid
1.0ms10×body320valid
0.0ms2×body160valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
04829
14829

prune7.0ms

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: 0.2b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 2.0 (* 3.0 x))
0.1b
(* x (- 2.0 (* 3.0 x)))
0.2b
(* 3.0 (* x (- 2.0 (* 3.0 x))))

rewrite17.0ms

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))
6.0ms
(* x (- 2.0 (* 3.0 x)))
6.0ms
(* 3.0 (* x (- 2.0 (* 3.0 x))))

series20.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- 2.0 (* 3.0 x))
9.0ms
(* x (- 2.0 (* 3.0 x)))
7.0ms
(* 3.0 (* x (- 2.0 (* 3.0 x))))

simplify49.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04945604
14945604

prune88.0ms

Filtered
41 candidates to 66 candidates (-61.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New59766
Fresh101
Picked101
Done000
Total61768

Merged error: 0.0b

Counts
68 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (- 6.0 (* x 9.0)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
5.0ms
(* x (- 6.0 (* x 9.0)))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* x (- 6.0 (* x 9.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04987218
14987218

prune44.0ms

Filtered
16 candidates to 25 candidates (-56.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New22325
Fresh246
Picked011
Done000
Total24832

Merged error: 0.0b

Counts
32 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
8×distribute-rgt-neg-out
6×associate-*l*
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*r* *-commutative
1×+-commutative flip3-+ unsub-neg sum-log flip-+ distribute-lft-out
Counts
3 → 54
Calls
3 calls:
5.0ms
(* 3.0 (* x (neg x)))
6.0ms
(+ (* 3.0 (* x 2.0)) (* 3.0 (* 3.0 (* x (neg x)))))
7.0ms
(* 3.0 (* 3.0 (* x (neg x))))

series13.0ms

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

simplify51.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05343527

prune76.0ms

Filtered
38 candidates to 63 candidates (-65.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New62163
Fresh156
Picked011
Done011
Total63871

Merged error: 0.0b

Counts
71 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 2.0 (* 3.0 x))
0.1b
(* (- 2.0 (* 3.0 x)) (cbrt 3.0))
0.3b
(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (- 2.0 (* 3.0 x)) (cbrt 3.0))))
0.3b
(* x (* (- 2.0 (* 3.0 x)) (cbrt 3.0)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
22×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
12×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity associate-*r*
7×associate-*l*
6×associate-*r/ associate-*l/ add-log-exp
4×cbrt-prod flip3-- flip--
3×*-commutative
2×unswap-sqr
1×sub-neg diff-log
Counts
4 → 85
Calls
4 calls:
3.0ms
(- 2.0 (* 3.0 x))
7.0ms
(* (- 2.0 (* 3.0 x)) (cbrt 3.0))
16.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (- 2.0 (* 3.0 x)) (cbrt 3.0))))
7.0ms
(* x (* (- 2.0 (* 3.0 x)) (cbrt 3.0)))

series36.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- 2.0 (* 3.0 x))
7.0ms
(* (- 2.0 (* 3.0 x)) (cbrt 3.0))
16.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (- 2.0 (* 3.0 x)) (cbrt 3.0))))
10.0ms
(* x (* (- 2.0 (* 3.0 x)) (cbrt 3.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04953964
14953964

prune129.0ms

Filtered
60 candidates to 97 candidates (-61.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New96197
Fresh235
Picked011
Done022
Total987105

Merged error: 0b

Counts
105 → 7

regimes44.0ms

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

sample526.0ms

Algorithm
intervals
Results
144.0ms7193×body80valid
36.0ms343×body1280valid
19.0ms243×body640valid
8.0ms141×body320valid
3.0ms80×body160valid

Profiling

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