Details

sample29.0ms

Algorithm

intervals

Results

10.0ms	242×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify456.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	203
1	20	163
2	66	163
3	212	163
4	431	163
5	497	163
6	504	163
7	505	163
done	505	163

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite292.0ms

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:

291.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify2.9s

Counts

26 → 26

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	53	6857
1	156	5566
2	549	5566
3	4398	5563
done	5000	5563

prune98.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

69.0ms	(+ (+ y y) (+ (* 3 x) z))
12.0ms	(+ (* 3 x) z)

series66.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (+ y y) (+ (* 3 x) z))
26.0ms	(+ (* 3 x) z)

simplify1.4s

Counts

39 → 39

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	79	12347
1	262	9678
2	1214	8342
done	5000	8262

prune202.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite114.0ms

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:

77.0ms	(* (cbrt (+ (* 3 x) z)) (cbrt (+ (* 3 x) z)))
9.0ms	(cbrt (+ (* 3 x) z))
15.0ms	(cbrt (+ (* 3 x) z))
9.0ms	(cbrt (+ (* 3 x) z))

series1.2s

Counts

4 → 12

Calls

4 calls:

355.0ms	(* (cbrt (+ (* 3 x) z)) (cbrt (+ (* 3 x) z)))
288.0ms	(cbrt (+ (* 3 x) z))
295.0ms	(cbrt (+ (* 3 x) z))
291.0ms	(cbrt (+ (* 3 x) z))

simplify1.3s

Counts

99 → 99

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	126	39326
1	304	32659
2	1176	32499
done	5000	31659

prune727.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize101.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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:

4.0ms	(cbrt (+ (* 3 x) z))
5.0ms	(cbrt (+ (* 3 x) z))
8.0ms	(cbrt (+ (* 3 x) z))
5.0ms	(cbrt (+ (* 3 x) z))

series1.2s

Counts

4 → 12

Calls

4 calls:

289.0ms	(cbrt (+ (* 3 x) z))
300.0ms	(cbrt (+ (* 3 x) z))
313.0ms	(cbrt (+ (* 3 x) z))
322.0ms	(cbrt (+ (* 3 x) z))

simplify1.4s

Counts

64 → 64

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	61	25692
1	147	21240
2	443	21080
3	1959	20280
done	5000	18912

prune509.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes299.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	163
1	10	163
done	10	163

end0.0ms

sample807.0ms

Algorithm

intervals

Results

398.0ms	7451×	body	80	valid
81.0ms	37×	body	2560	valid
35.0ms	175×	body	1280	valid
27.0ms	174×	body	640	valid
16.0ms	116×	body	320	valid
5.0ms	58×	body	160	valid