Details

Time bar (total: 2.1s)

sample16.0ms

Algorithm
intervals
Results
9.0ms386×body80valid

simplify196.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify32.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0216252
1984214
25002203

prune51.0ms

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)

rewrite22.0ms

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:
6.0ms
(* 2.0 (pow x 3))
8.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
5.0ms
(* (* x x) 3.0)

series176.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* 2.0 (pow x 3))
114.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
24.0ms
(* (* x x) 3.0)

simplify56.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0305350
11570308
25001301

prune130.0ms

Filtered
81 candidates to 55 candidates (67.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New79281
Fresh134
Picked011
Done000
Total80686

Merged error: 0.0b

Counts
86 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×distribute-rgt-in distribute-lft-in
18×prod-diff
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*l*
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×unswap-sqr
Counts
2 → 74
Calls
2 calls:
6.0ms
(* x (- 3.0 (* x 2.0)))
7.0ms
(* x (* x (- 3.0 (* x 2.0))))

series143.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* x (- 3.0 (* x 2.0)))
74.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify41.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0248535
11174460
25001440

prune78.0ms

Filtered
80 candidates to 38 candidates (47.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New79180
Fresh224
Picked011
Done011
Total81586

Merged error: 0.0b

Counts
86 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* (* (* x x) (sqrt 3.0)) (sqrt 3.0)) (- (* 2.0 (pow x 3))))
0.3b
(* (* (* x x) (sqrt 3.0)) (sqrt 3.0))
0.3b
(* (* x x) (sqrt 3.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*r*
23×add-exp-log
21×add-sqr-sqrt
20×add-cbrt-cube
18×pow1
12×add-cube-cbrt *-un-lft-identity prod-exp
10×cbrt-unprod
9×pow-prod-down
8×add-log-exp
7×sqrt-prod
6×unswap-sqr
5×associate-*l*
4×expm1-log1p-u unpow-prod-down cube-prod log1p-expm1-u
3×*-commutative
2×sum-log 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 → 102
Calls
4 calls:
6.0ms
(* 2.0 (pow x 3))
10.0ms
(+ (* (* (* x x) (sqrt 3.0)) (sqrt 3.0)) (- (* 2.0 (pow x 3))))
10.0ms
(* (* (* x x) (sqrt 3.0)) (sqrt 3.0))
7.0ms
(* (* x x) (sqrt 3.0))

series291.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* 2.0 (pow x 3))
139.0ms
(+ (* (* (* x x) (sqrt 3.0)) (sqrt 3.0)) (- (* 2.0 (pow x 3))))
71.0ms
(* (* (* x x) (sqrt 3.0)) (sqrt 3.0))
45.0ms
(* (* x x) (sqrt 3.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0393600
12172491
25002477

prune186.0ms

Filtered
114 candidates to 68 candidates (59.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1131114
Fresh022
Picked011
Done022
Total1136119

Merged error: 0b

Counts
119 → 6

regimes20.0ms

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 (0.0ms)

IterNodesCost
0176
1196
2196

end0.0ms

sample395.0ms

Algorithm
intervals
Results
270.0ms11948×body80valid

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