Details

sample30.0ms

Algorithm

intervals

Results

16.0ms	315×	body	80	valid
1.0ms	5×	body	640	valid
1.0ms	3×	body	1280	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	46
4	46
3	39
2	28
1	18
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `insert-posit16`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

13.0ms	(* x (+ y z))
18.0ms	(+ (* x (+ y z)) (* z 5.0))

series72.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* x (+ y z))
32.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify2.3s

Counts

44 → 44

Iterations

Iter	Nodes
done	5006
3	4679
2	904
1	222
0	74

prune193.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
4.2b	(cbrt (* x (+ y z)))
4.2b	(cbrt (* x (+ y z)))
4.2b	(cbrt (* x (+ y z)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

27.0ms	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
5.0ms	(cbrt (* x (+ y z)))
9.0ms	(cbrt (* x (+ y z)))
9.0ms	(cbrt (* x (+ y z)))

series489.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
109.0ms	(cbrt (* x (+ y z)))
106.0ms	(cbrt (* x (+ y z)))
111.0ms	(cbrt (* x (+ y z)))

simplify1.2s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
3	1930
2	708
1	273
0	110

prune325.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))

rewrite83.0ms

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` `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 → 91

Calls

4 calls:

61.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
7.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
7.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
7.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

series719.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
159.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
172.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
157.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

simplify1.8s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
3	3674
2	1033
1	347
0	134

prune443.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`

Counts

4 → 59

Calls

4 calls:

7.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
7.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
7.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
7.0ms	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))

series693.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
158.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
192.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
161.0ms	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))

simplify1.6s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
3	2692
2	713
1	257
0	101

prune481.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes263.0ms

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	12
1	12
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

732.0ms	9875×	body	80	valid
30.0ms	103×	body	1280	valid
22.0ms	100×	body	640	valid
11.0ms	61×	body	320	valid
3.0ms	25×	body	160	valid