Details

Time bar (total: 2.5s)

sample16.0ms

Algorithm
intervals
Results
8.0ms386×body80valid

simplify234.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0134
1354
2894
31574
41704
51864
62444
74424
813894
947614
1050014

prune2.0ms

Filtered
1 candidates to 0 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 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log prod-diff add-cbrt-cube
5×distribute-rgt-in add-sqr-sqrt distribute-lft-in
4×add-cube-cbrt *-un-lft-identity
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 33
Calls
1 calls:
8.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0216252
1984214
25002203

prune63.0ms

Filtered
36 candidates to 20 candidates (55.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New31536
Fresh000
Picked101
Done000
Total32537

Merged error: 0.0b

Counts
37 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
0.2b
(* (* x x) 3.0)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×prod-exp
5×unswap-sqr
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod
3×expm1-log1p-u pow-prod-down log1p-expm1-u
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- fma-def flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 72
Calls
3 calls:
7.0ms
(* 2.0 (pow x 3))
6.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
6.0ms
(* (* x x) 3.0)

series177.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* 2.0 (pow x 3))
105.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
32.0ms
(* (* x x) 3.0)

simplify74.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0305350
11570308
25001301

prune152.0ms

Filtered
81 candidates to 55 candidates (67.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New79281
Fresh224
Picked011
Done000
Total81586

Merged error: 0.0b

Counts
86 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
0.1b
(* x (* x 3.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-exp-log associate-*r*
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×associate-*l* prod-exp
4×unpow-prod-down cube-prod cbrt-unprod unswap-sqr
3×expm1-log1p-u pow-prod-down log1p-expm1-u
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- fma-def flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 71
Calls
3 calls:
6.0ms
(* 2.0 (pow x 3))
6.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
5.0ms
(* x (* x 3.0))

series179.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* 2.0 (pow x 3))
108.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
27.0ms
(* x (* x 3.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0292346
11485306
25002298

prune146.0ms

Filtered
80 candidates to 54 candidates (67.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New79180
Fresh033
Picked011
Done011
Total79685

Merged error: 0.0b

Counts
85 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
0.2b
(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
0.2b
(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
39×add-exp-log
27×pow-prod-down
24×prod-exp
23×add-cbrt-cube
22×cbrt-unprod
19×associate-*r*
17×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
8×add-log-exp
5×associate-*l* unswap-sqr
4×expm1-log1p-u unpow-prod-down pow-plus cube-prod pow-prod-up log1p-expm1-u
3×cbrt-prod *-commutative
2×pow2 sum-log pow-sqr sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- fma-def flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
4 → 114
Calls
4 calls:
7.0ms
(* 2.0 (pow x 3))
17.0ms
(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
12.0ms
(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
16.0ms
(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series407.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 2.0 (pow x 3))
175.0ms
(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
80.0ms
(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
107.0ms
(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
0425815
12372615
25002563

prune211.0ms

Filtered
126 candidates to 71 candidates (56.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1251126
Fresh033
Picked011
Done022
Total1257132

Merged error: 0b

Counts
132 → 7

regimes26.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1206
2206

end0.0ms

sample367.0ms

Algorithm
intervals
Results
231.0ms11943×body80valid