Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	228×	body	80	valid
4.0ms	9×	body	640	valid
1.0ms	8×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	6×	body	160	valid
0.0ms	1×	body	2560	valid

simplify262.0ms

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity` `add-log-exp`
19×	`sum-log` `distribute-lft-out`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

1 → 23

Calls

1 calls:

282.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify2.4s

Counts

26 → 26

Iterations

Iter	Nodes
done	5008
3	3484
2	514
1	136
0	53

prune120.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ y y) (* 3 x))
0.0b	(+ (+ (+ y y) (* 3 x)) z)

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`sum-log`
4×	`*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+l+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
1×	`distribute-lft-out`

Counts

2 → 28

Calls

2 calls:

28.0ms	(+ (+ y y) (* 3 x))
163.0ms	(+ (+ (+ y y) (* 3 x)) z)

series79.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (+ y y) (* 3 x))
42.0ms	(+ (+ (+ y y) (* 3 x)) z)

simplify2.6s

Counts

34 → 34

Iterations

Iter	Nodes
done	5004
3	3432
2	685
1	169
0	58

prune131.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x))))
0.6b	(cbrt (+ (+ y y) (* 3 x)))
0.6b	(cbrt (+ (+ y y) (* 3 x)))
0.6b	(cbrt (+ (+ y y) (* 3 x)))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `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` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

185.0ms	(* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x))))
15.0ms	(cbrt (+ (+ y y) (* 3 x)))
23.0ms	(cbrt (+ (+ y y) (* 3 x)))
18.0ms	(cbrt (+ (+ y y) (* 3 x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

378.0ms	(* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x))))
330.0ms	(cbrt (+ (+ y y) (* 3 x)))
296.0ms	(cbrt (+ (+ y y) (* 3 x)))
280.0ms	(cbrt (+ (+ y y) (* 3 x)))

simplify1.9s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	2585
2	889
1	343
0	143

prune698.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ y y) (* 3 x)))
0.6b	(cbrt (+ (+ y y) (* 3 x)))
0.6b	(cbrt (+ (+ y y) (* 3 x)))
0.6b	(cbrt (+ (+ y y) (* 3 x)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

14.0ms	(cbrt (+ (+ y y) (* 3 x)))
23.0ms	(cbrt (+ (+ y y) (* 3 x)))
27.0ms	(cbrt (+ (+ y y) (* 3 x)))
31.0ms	(cbrt (+ (+ y y) (* 3 x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

341.0ms	(cbrt (+ (+ y y) (* 3 x)))
347.0ms	(cbrt (+ (+ y y) (* 3 x)))
269.0ms	(cbrt (+ (+ y y) (* 3 x)))
336.0ms	(cbrt (+ (+ y y) (* 3 x)))

simplify1.7s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
3	1420
2	452
1	176
0	72

prune515.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes278.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

866.0ms	7440×	body	80	valid
63.0ms	188×	body	1280	valid
20.0ms	147×	body	640	valid
13.0ms	125×	body	320	valid
7.0ms	36×	body	2560	valid
5.0ms	78×	body	160	valid