Details

Time bar (total: 1.4s)

sample23.0ms

Algorithm
intervals
Results
10.0ms334×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (9.0ms)

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

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* x 3.0) x) (* x 4.0))
0.1b
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b
(* (* x 3.0) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
7×associate-*r*
6×add-cube-cbrt
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ *-commutative
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ diff-log flip-- flip-+ distribute-lft-out unswap-sqr
Counts
3 → 53
Calls
3 calls:
4.0ms
(- (* (* x 3.0) x) (* x 4.0))
9.0ms
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
5.0ms
(* (* x 3.0) x)

series13.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- (* (* x 3.0) x) (* x 4.0))
3.0ms
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
3.0ms
(* (* x 3.0) x)

simplify42.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0286367
11258325
25002310

prune88.0ms

Filtered
40 candidates to 62 candidates (-55.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New55762
Fresh000
Picked101
Done000
Total56763

Merged error: 0.0b

Counts
63 → 7

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))

series8.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
3.0ms
(* 9.0 (pow x 2))

simplify149.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (144.0ms)

IterNodesCost
0193233
1766207
24099201
35003200

prune67.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New46147
Fresh336
Picked011
Done000
Total49554

Merged error: 0b

Counts
54 → 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:
3.0ms
(- (* x 9.0) 12.0)
5.0ms
(* x (- (* x 9.0) 12.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0137189
1560167
22720166
35001166

prune46.0ms

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

localize8.0ms

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 (* x (- (* x 3.0) 4.0)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
8×add-sqr-sqrt
7×sub-neg
6×add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l*
5×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 → 64
Calls
3 calls:
3.0ms
(- (* x 3.0) 4.0)
6.0ms
(* x (- (* x 3.0) 4.0))
7.0ms
(* 3.0 (* x (- (* x 3.0) 4.0)))

series17.0ms

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

simplify35.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0220373
1921324
25002320

prune64.0ms

Filtered
42 candidates to 73 candidates (-73.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh022
Picked011
Done022
Total73578

Merged error: 0b

Counts
78 → 5

regimes100.0ms

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

sample507.0ms

Algorithm
intervals
Results
332.0ms10656×body80valid

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