Details

sample28.0ms

Algorithm

intervals

Results

13.0ms	233×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	5×	body	640	valid
1.0ms	3×	body	2560	valid
1.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify215.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	249
6	249
5	248
4	240
3	145
2	53
1	20
0	8

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (+ z (+ (+ y x) (+ y x))))
0.0b	(+ z (+ (+ y x) (+ y x)))

rewrite575.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity` `add-log-exp`
32×	`sum-log` `distribute-lft-out`
24×	`associate-+r+`
9×	`+-commutative`
4×	`associate-+l+`
2×	`add-sqr-sqrt` `pow1` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

2 → 58

Calls

2 calls:

374.0ms	(+ x (+ z (+ (+ y x) (+ y x))))
196.0ms	(+ z (+ (+ y x) (+ y x)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (+ z (+ (+ y x) (+ y x))))
52.0ms	(+ z (+ (+ y x) (+ y x)))

simplify1.4s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	820
1	227
0	85

prune254.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (+ (+ y x) (+ y x)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity` `add-log-exp`
13×	`sum-log` `distribute-lft-out`
8×	`associate-+r+`
4×	`+-commutative`
2×	`associate-+l+`
1×	`add-sqr-sqrt` `pow1` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

1 → 27

Calls

1 calls:

138.0ms

(+ x (+ (+ y x) (+ y x)))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(+ x (+ (+ y x) (+ y x)))

simplify2.7s

Counts

30 → 30

Iterations

Iter	Nodes
done	5047
3	2975
2	576
1	122
0	49

prune123.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (+ (+ y x) (+ y x)))) (cbrt (+ x (+ (+ y x) (+ y x)))))
0.6b	(cbrt (+ x (+ (+ y x) (+ y x))))
0.6b	(cbrt (+ x (+ (+ y x) (+ y x))))
0.6b	(cbrt (+ x (+ (+ y x) (+ y x))))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

331×	`*-un-lft-identity`
221×	`distribute-lft-out`
120×	`cbrt-prod`
41×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1` `associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 154

Calls

4 calls:

990.0ms	(* (cbrt (+ x (+ (+ y x) (+ y x)))) (cbrt (+ x (+ (+ y x) (+ y x)))))
99.0ms	(cbrt (+ x (+ (+ y x) (+ y x))))
114.0ms	(cbrt (+ x (+ (+ y x) (+ y x))))
103.0ms	(cbrt (+ x (+ (+ y x) (+ y x))))

series2.0s

Counts

4 → 12

Calls

4 calls:

427.0ms	(* (cbrt (+ x (+ (+ y x) (+ y x)))) (cbrt (+ x (+ (+ y x) (+ y x)))))
299.0ms	(cbrt (+ x (+ (+ y x) (+ y x))))
408.0ms	(cbrt (+ x (+ (+ y x) (+ y x))))
914.0ms	(cbrt (+ x (+ (+ y x) (+ y x))))

simplify3.0s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
3	3937
2	1017
1	352
0	146

prune704.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (+ (+ y x) (+ y x))))
0.6b	(cbrt (+ x (+ (+ y x) (+ y x))))
0.6b	(cbrt (+ x (+ (+ y x) (+ y x))))
0.6b	(* (cbrt (cbrt (+ x (+ (+ y x) (+ y x))))) (cbrt (cbrt (+ x (+ (+ y x) (+ y x))))))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

335×	`*-un-lft-identity`
238×	`cbrt-prod`
221×	`distribute-lft-out`
44×	`swap-sqr`
37×	`add-sqr-sqrt`
30×	`cbrt-div`
19×	`add-cube-cbrt`
14×	`associate-r` `associate-l`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+` `unswap-sqr`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 168

Calls

4 calls:

143.0ms	(cbrt (+ x (+ (+ y x) (+ y x))))
110.0ms	(cbrt (+ x (+ (+ y x) (+ y x))))
106.0ms	(cbrt (+ x (+ (+ y x) (+ y x))))
911.0ms	(* (cbrt (cbrt (+ x (+ (+ y x) (+ y x))))) (cbrt (cbrt (+ x (+ (+ y x) (+ y x))))))

series1.5s

Counts

4 → 12

Calls

4 calls:

355.0ms	(cbrt (+ x (+ (+ y x) (+ y x))))
313.0ms	(cbrt (+ x (+ (+ y x) (+ y x))))
312.0ms	(cbrt (+ x (+ (+ y x) (+ y x))))
554.0ms	(* (cbrt (cbrt (+ x (+ (+ y x) (+ y x))))) (cbrt (cbrt (+ x (+ (+ y x) (+ y x))))))

simplify2.8s

Counts

180 → 180

Iterations

Iter	Nodes
done	5001
3	3505
2	1027
1	388
0	177

prune812.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes258.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample972.0ms

Algorithm

intervals

Results

592.0ms	7397×	body	80	valid
75.0ms	194×	body	640	valid
56.0ms	202×	body	1280	valid
20.0ms	115×	body	320	valid
13.0ms	39×	body	2560	valid
7.0ms	65×	body	160	valid