Details

sample33.0ms

Algorithm

intervals

Results

14.0ms	247×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid

simplify577.0ms

Counts

1 → 1

Iterations

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

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

302.0ms	(+ z (+ (+ y x) (+ y x)))
883.0ms	(+ x (+ z (+ (+ y x) (+ y x))))

series115.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ z (+ (+ y x) (+ y x)))
65.0ms	(+ x (+ z (+ (+ y x) (+ y x))))

simplify2.8s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
2	799
1	199
0	73

prune450.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 1 expressions with local error:

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

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`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 → 15

Calls

1 calls:

195.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify6.0s

Counts

18 → 18

Iterations

Iter	Nodes
done	5002
3	3031
2	545
1	128
0	42

prune271.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize191.0ms

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))))

rewrite2.7s

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-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `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` `cbrt-unprod`

Counts

4 → 151

Calls

4 calls:

2.1s	(* (cbrt (+ z (+ (+ y x) (+ y x)))) (cbrt (+ z (+ (+ y x) (+ y x)))))
188.0ms	(cbrt (+ z (+ (+ y x) (+ y x))))
183.0ms	(cbrt (+ z (+ (+ y x) (+ y x))))
236.0ms	(cbrt (+ z (+ (+ y x) (+ y x))))

series1.9s

Counts

4 → 12

Calls

4 calls:

665.0ms	(* (cbrt (+ z (+ (+ y x) (+ y x)))) (cbrt (+ z (+ (+ y x) (+ y x)))))
398.0ms	(cbrt (+ z (+ (+ y x) (+ y x))))
420.0ms	(cbrt (+ z (+ (+ y x) (+ y x))))
452.0ms	(cbrt (+ z (+ (+ y x) (+ y x))))

simplify7.3s

Counts

163 → 163

Iterations

Iter	Nodes
done	5001
3	3761
2	868
1	304
0	127

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize315.0ms

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)))))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
39×	`distribute-lft-out`
36×	`cbrt-prod`
28×	`cbrt-div`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`associate-l/` `associate-r/`

Counts

4 → 78

Calls

4 calls:

246.0ms	(cbrt (+ z (+ (+ y x) (+ y x))))
249.0ms	(cbrt (+ z (+ (+ y x) (+ y x))))
560.0ms	(cbrt (* (cbrt (+ z (+ (+ y x) (+ y x)))) (cbrt (+ z (+ (+ y x) (+ y x))))))
284.0ms	(cbrt (cbrt (+ z (+ (+ y x) (+ y x)))))

series2.3s

Counts

4 → 12

Calls

4 calls:

453.0ms	(cbrt (+ z (+ (+ y x) (+ y x))))
373.0ms	(cbrt (+ z (+ (+ y x) (+ y x))))
882.0ms	(cbrt (* (cbrt (+ z (+ (+ y x) (+ y x)))) (cbrt (+ z (+ (+ y x) (+ y x))))))
590.0ms	(cbrt (cbrt (+ z (+ (+ y x) (+ y x)))))

simplify6.1s

Counts

90 → 90

Iterations

Iter	Nodes
done	5003
3	3125
2	825
1	330
0	160

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes931.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

659.0ms	7408×	body	80	valid
59.0ms	181×	body	1280	valid
52.0ms	203×	body	640	valid
25.0ms	124×	body	320	valid
10.0ms	28×	body	2560	valid
8.0ms	69×	body	160	valid