Details

sample27.0ms

Algorithm

intervals

Results

7.0ms	225×	body	80	valid
5.0ms	8×	body	640	valid
1.0ms	10×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	6×	body	320	valid
0.0ms	4×	body	160	valid

simplify436.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	505
7	505
6	504
5	497
4	431
3	212
2	66
1	20
0	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

13.0ms	(+ y (+ y z))
42.0ms	(+ (* x 3) (+ y (+ y z)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ y (+ y z))
38.0ms	(+ (* x 3) (+ y (+ y z)))

simplify594.0ms

Counts

35 → 35

Iterations

Iter	Nodes
done	5001
2	761
1	182
0	58

prune207.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

618.0ms	(+ (+ (+ (+ x y) y) x) z)
2.5s	(+ (+ (+ (+ (+ x y) y) x) z) x)
34.0ms	(+ (+ x y) y)
136.0ms	(+ (+ (+ x y) y) x)

series200.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (+ (+ (+ x y) y) x) z)
50.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
54.0ms	(+ (+ x y) y)
64.0ms	(+ (+ (+ x y) y) x)

simplify633.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
2	1295
1	290
0	104

prune341.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.8s

Algorithm

rewrite-expression-head

Rules

767×	`*-un-lft-identity`
552×	`distribute-lft-out`
225×	`cbrt-prod`
102×	`cbrt-div`
86×	`swap-sqr`
85×	`flip3-+` `flip-+`
68×	`frac-add`
36×	`frac-times`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
14×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3`
6×	`associate-l/` `associate-r/` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 259

Calls

4 calls:

2.8s	(* (cbrt (+ (+ (+ (+ x y) x) y) (+ x z))) (cbrt (+ (+ (+ (+ x y) x) y) (+ x z))))
318.0ms	(cbrt (+ (+ (+ (+ x y) x) y) (+ x z)))
391.0ms	(cbrt (+ (+ (+ (+ x y) x) y) (+ x z)))
265.0ms	(cbrt (+ (+ (+ (+ x y) x) y) (+ x z)))

series1.7s

Counts

4 → 12

Calls

4 calls:

480.0ms	(* (cbrt (+ (+ (+ (+ x y) x) y) (+ x z))) (cbrt (+ (+ (+ (+ x y) x) y) (+ x z))))
420.0ms	(cbrt (+ (+ (+ (+ x y) x) y) (+ x z)))
430.0ms	(cbrt (+ (+ (+ (+ x y) x) y) (+ x z)))
399.0ms	(cbrt (+ (+ (+ (+ x y) x) y) (+ x z)))

simplify980.0ms

Counts

271 → 271

Iterations

Iter	Nodes
done	5002
2	2071
1	533
0	240

prune1.3s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ (+ (+ x y) x) y) (+ x z)))
0.6b	(cbrt (+ (+ z x) (* 2 (+ y x))))
0.6b	(cbrt (+ (+ z x) (* 2 (+ y x))))
0.6b	(cbrt (+ (+ z x) (* 2 (+ y x))))

rewrite395.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
24×	`cbrt-div` `distribute-lft-out`
20×	`cbrt-prod` `flip3-+` `flip-+`
16×	`frac-add`
12×	`associate-*r/`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 76

Calls

4 calls:

318.0ms	(cbrt (+ (+ (+ (+ x y) x) y) (+ x z)))
29.0ms	(cbrt (+ (+ z x) (* 2 (+ y x))))
31.0ms	(cbrt (+ (+ z x) (* 2 (+ y x))))
14.0ms	(cbrt (+ (+ z x) (* 2 (+ y x))))

series1.2s

Counts

4 → 12

Calls

4 calls:

424.0ms	(cbrt (+ (+ (+ (+ x y) x) y) (+ x z)))
254.0ms	(cbrt (+ (+ z x) (* 2 (+ y x))))
258.0ms	(cbrt (+ (+ z x) (* 2 (+ y x))))
252.0ms	(cbrt (+ (+ z x) (* 2 (+ y x))))

simplify1.2s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	2561
1	565
0	200

prune915.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes373.0ms

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	12
1	12
0	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

933.0ms	7409×	body	80	valid
78.0ms	181×	body	1280	valid
30.0ms	192×	body	640	valid
14.0ms	119×	body	320	valid
8.0ms	31×	body	2560	valid
6.0ms	78×	body	160	valid