Details

Time bar (total: 1.3s)

analyze4.0ms

Algorithm
search

sample13.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (10.0ms)

IterNodesCost
0266
1556
21226
32056
42535
53075
63635
74985
89115
911875
1011885
1111885

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x 3.0) 4.0)
0.1b
(* x (- (* x 3.0) 4.0))
0.1b
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
4×associate-*r/
3×distribute-rgt-in sub-neg distribute-lft-in
2×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×flip3-+ diff-log flip-+
Counts
3 → 58
Calls
3 calls:
3.0ms
(- (* x 3.0) 4.0)
6.0ms
(* x (- (* x 3.0) 4.0))
9.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series13.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (* x 3.0) 4.0)
5.0ms
(* x (- (* x 3.0) 4.0))
4.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify40.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0267361
11213324
25001323

prune101.0ms

Filtered
44 candidates to 67 candidates (-52.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New61667
Fresh101
Picked101
Done000
Total63669

Merged error: 0.0b

Counts
69 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
0.2b
(* 9.0 (pow x 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log add-log-exp
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 diff-log unpow2 sqr-pow
1×pow-to-exp sub-neg flip3-- pow-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod
Counts
2 → 41
Calls
2 calls:
6.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
5.0ms
(* 9.0 (pow x 2))

series6.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
3.0ms
(* 9.0 (pow x 2))

simplify148.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (143.0ms)

IterNodesCost
0193233
1766207
24099201
35003200

prune74.0ms

Filtered
30 candidates to 47 candidates (-56.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh325
Picked011
Done000
Total48553

Merged error: 0b

Counts
53 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x 9.0) 12.0)
0.1b
(* x (- (* x 9.0) 12.0))

rewrite10.0ms

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×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(- (* x 9.0) 12.0)
6.0ms
(* x (- (* x 9.0) 12.0))

series9.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- (* x 9.0) 12.0)
6.0ms
(* x (- (* x 9.0) 12.0))

simplify75.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0137189
1560167
22720166
35001166

prune50.0ms

Filtered
27 candidates to 42 candidates (-55.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New42042
Fresh033
Picked011
Done011
Total42547

Merged error: 0b

Counts
47 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
0.2b
(* (cbrt 9.0) (pow x 2))
0.3b
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
21×prod-exp
19×add-sqr-sqrt
10×add-cbrt-cube
9×associate-*r* cbrt-unprod
8×pow1 add-log-exp unswap-sqr
7×cbrt-prod add-cube-cbrt *-un-lft-identity associate-*l*
5×unpow-prod-down
3×pow-to-exp pow-prod-down pow-exp unpow2 sqr-pow
2×diff-log *-commutative
1×sub-neg flip3-- associate--l+ sum-log flip--
Counts
3 → 72
Calls
3 calls:
11.0ms
(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
6.0ms
(* (cbrt 9.0) (pow x 2))
10.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

series22.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
7.0ms
(* (cbrt 9.0) (pow x 2))
9.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

simplify44.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0294636
11205515
25002469

prune115.0ms

Filtered
44 candidates to 81 candidates (-84.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh022
Picked011
Done022
Total81586

Merged error: 0b

Counts
86 → 5

regimes35.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

analyze5.0ms

Algorithm
search

sample332.0ms

Algorithm
intervals
Results
250.0ms8000×body80valid
0.0ms4×body80invalid

Profiling

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