Details

Time bar (total: 970.0ms)

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
5.0ms237×body80valid
1.0ms7×body1280valid
1.0ms8×body640valid
0.0ms2×body320valid
0.0ms2×body160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (18.0ms)

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

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

series17.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 2.0 (* 3.0 x))
6.0ms
(* x (- 2.0 (* 3.0 x)))
8.0ms
(* 3.0 (* x (- 2.0 (* 3.0 x))))

simplify48.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04945604
14945604

prune89.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(* 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:
6.0ms
(* x (- 6.0 (* x 9.0)))

series6.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04987218
14987218

prune48.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 3.0 (* x 2.0)) (* 3.0 (* 3.0 (* x (neg x)))))
0.2b
(* 3.0 (* 3.0 (* x (neg x))))
0.2b
(* 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:
6.0ms
(+ (* 3.0 (* x 2.0)) (* 3.0 (* 3.0 (* x (neg x)))))
7.0ms
(* 3.0 (* 3.0 (* x (neg x))))
5.0ms
(* 3.0 (* x (neg x)))

series16.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(+ (* 3.0 (* x 2.0)) (* 3.0 (* 3.0 (* x (neg x)))))
3.0ms
(* 3.0 (* 3.0 (* x (neg x))))
3.0ms
(* 3.0 (* x (neg x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05343527

prune72.0ms

Filtered
37 candidates to 63 candidates (-70.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New62163
Fresh246
Picked101
Done101
Total66571

Merged error: 0.0b

Counts
71 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-neg-out add-log-exp
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×+-commutative flip3-+ associate-*r* associate-*l* unsub-neg sum-log *-commutative flip-+
Counts
2 → 35
Calls
2 calls:
6.0ms
(+ (* 3.0 (* x 2.0)) (* (* 3.0 3.0) (* x (neg x))))
7.0ms
(* (* 3.0 3.0) (* x (neg x)))

series11.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* 3.0 (* x 2.0)) (* (* 3.0 3.0) (* x (neg x))))
4.0ms
(* (* 3.0 3.0) (* x (neg x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04881384
14881384

prune41.0ms

Filtered
25 candidates to 41 candidates (-64.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New41041
Fresh044
Picked011
Done000
Total41546

Merged error: 0.0b

Counts
46 → 5

regimes37.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05413
15413

end0.0ms

sample321.0ms

Algorithm
intervals
Results
164.0ms7199×body80valid
33.0ms332×body1280valid
26.0ms289×body640valid
7.0ms112×body320valid
3.0ms68×body160valid
0.0ms5×body80invalid

Profiling

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