Details

Time bar (total: 1.2s)

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
5.0ms231×body80valid
1.0ms9×body1280valid
1.0ms9×body640valid
0.0ms3×body320valid
0.0ms4×body160valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (19.0ms)

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: 0.2b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 2.0 (* 3.0 x))
0.1b
(* 3.0 (* x (- 2.0 (* 3.0 x))))
0.1b
(* 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))
6.0ms
(* 3.0 (* x (- 2.0 (* 3.0 x))))
6.0ms
(* x (- 2.0 (* 3.0 x)))

series17.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- 2.0 (* 3.0 x))
7.0ms
(* 3.0 (* x (- 2.0 (* 3.0 x))))
6.0ms
(* x (- 2.0 (* 3.0 x)))

simplify48.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04945604
14945604

prune90.0ms

Filtered
46 candidates to 66 candidates (-43.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New60666
Fresh011
Picked101
Done000
Total61768

Merged error: 0.0b

Counts
68 → 7

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)

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-*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)))
7.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

series15.0ms

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

simplify46.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04944551
14944551

prune82.0ms

Filtered
45 candidates to 62 candidates (-37.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New60262
Fresh156
Picked011
Done000
Total61869

Merged error: 0.0b

Counts
69 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt sub-neg *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- associate-*r/ flip--
1×distribute-rgt-in distribute-lft-in diff-log associate-*l* *-commutative
Counts
2 → 33
Calls
2 calls:
3.0ms
(- 2.0 (* 3.0 x))
6.0ms
(* (* x 3.0) (- 2.0 (* 3.0 x)))

series10.0ms

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

simplify31.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
04992365
14992365

prune55.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New38139
Fresh066
Picked101
Done011
Total39847

Merged error: 0.0b

Counts
47 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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 (* x 3.0))
6.0ms
(* (- 2.0 (* x 3.0)) (cbrt 3.0))
13.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (- 2.0 (* x 3.0)) (cbrt 3.0))))
7.0ms
(* x (* (- 2.0 (* x 3.0)) (cbrt 3.0)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- 2.0 (* x 3.0))
7.0ms
(* (- 2.0 (* x 3.0)) (cbrt 3.0))
17.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (- 2.0 (* x 3.0)) (cbrt 3.0))))
11.0ms
(* x (* (- 2.0 (* x 3.0)) (cbrt 3.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04945964
14945964

prune117.0ms

Filtered
56 candidates to 97 candidates (-73.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New95297
Fresh156
Picked011
Done011
Total969105

Merged error: 0.0b

Counts
105 → 9

regimes93.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0369
1369

end0.0ms

sample327.0ms

Algorithm
intervals
Results
165.0ms7180×body80valid
37.0ms322×body1280valid
27.0ms285×body640valid
9.0ms139×body320valid
3.0ms74×body160valid
0.0ms3×body80invalid

Profiling

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