Details

sample35.0ms

Algorithm

intervals

Results

21.0ms	247×	body	80	valid
2.0ms	6×	body	1280	valid
1.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid

simplify559.0ms

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite279.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

92.0ms	(+ (+ z (+ y x)) (+ y x))
185.0ms	(+ x (+ (+ z (+ y x)) (+ y x)))

series58.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (+ z (+ y x)) (+ y x))
29.0ms	(+ x (+ (+ z (+ y x)) (+ y x)))

simplify1.5s

Counts

61 → 61

Iterations

Iter	Nodes
done	5002
2	1461
1	359
0	106

prune264.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

1 → 14

Calls

1 calls:

23.0ms

(+ (* 3 x) (+ z (* 2 y)))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(+ (* 3 x) (+ z (* 2 y)))

simplify1.5s

Counts

17 → 17

Iterations

Iter	Nodes
done	5001
3	2055
2	435
1	114
0	35

prune78.0ms

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

rewrite662.0ms

Algorithm

rewrite-expression-head

Rules

426×	`*-un-lft-identity`
285×	`distribute-lft-out`
151×	`cbrt-prod`
102×	`cbrt-div`
85×	`flip3-+` `flip-+`
68×	`frac-add`
54×	`swap-sqr`
36×	`frac-times`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
12×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3`
6×	`associate-l/` `associate-r/` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `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 → 221

Calls

4 calls:

480.0ms	(* (cbrt (+ (+ z (+ y x)) (+ y x))) (cbrt (+ (+ z (+ y x)) (+ y x))))
73.0ms	(cbrt (+ (+ z (+ y x)) (+ y x)))
46.0ms	(cbrt (+ (+ z (+ y x)) (+ y x)))
48.0ms	(cbrt (+ (+ z (+ y x)) (+ y x)))

series1.2s

Counts

4 → 12

Calls

4 calls:

400.0ms	(* (cbrt (+ (+ z (+ y x)) (+ y x))) (cbrt (+ (+ z (+ y x)) (+ y x))))
317.0ms	(cbrt (+ (+ z (+ y x)) (+ y x)))
250.0ms	(cbrt (+ (+ z (+ y x)) (+ y x)))
250.0ms	(cbrt (+ (+ z (+ y x)) (+ y x)))

simplify2.3s

Counts

233 → 233

Iterations

Iter	Nodes
done	5001
2	1983
1	536
0	241

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite335.0ms

Algorithm

rewrite-expression-head

Rules

156×	`cbrt-div`
85×	`flip3-+` `flip-+`
71×	`*-un-lft-identity`
68×	`frac-add`
45×	`distribute-lft-out`
40×	`cbrt-prod`
36×	`frac-times`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-l/` `associate-r/`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 133

Calls

4 calls:

64.0ms	(cbrt (+ (+ z (+ y x)) (+ y x)))
74.0ms	(cbrt (+ (+ z (+ y x)) (+ y x)))
150.0ms	(cbrt (* (cbrt (+ (+ z (+ y x)) (+ y x))) (cbrt (+ (+ z (+ y x)) (+ y x)))))
44.0ms	(cbrt (cbrt (+ (+ z (+ y x)) (+ y x))))

series1.5s

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt (+ (+ z (+ y x)) (+ y x)))
252.0ms	(cbrt (+ (+ z (+ y x)) (+ y x)))
569.0ms	(cbrt (* (cbrt (+ (+ z (+ y x)) (+ y x))) (cbrt (+ (+ z (+ y x)) (+ y x)))))
414.0ms	(cbrt (cbrt (+ (+ z (+ y x)) (+ y x))))

simplify1.8s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
2	1782
1	632
0	354

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes183.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	9

end0.0ms

sample916.0ms

Algorithm

intervals

Results

587.0ms	7408×	body	80	valid
46.0ms	181×	body	1280	valid
42.0ms	203×	body	640	valid
22.0ms	124×	body	320	valid
8.0ms	28×	body	2560	valid
7.0ms	69×	body	160	valid