Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	307×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	4×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	28	9
3	36	9
4	39	9
done	39	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

20.0ms	(* x (+ y z))
13.0ms	(+ (* x (+ y z)) (* z 5.0))

series67.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* x (+ y z))
37.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify2.2s

Counts

42 → 42

Iterations

Useful iterations: 3 (932.0ms)

Iter	Nodes	Cost
0	72	422
1	213	386
2	701	358
3	2953	356
done	5001	356

prune107.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

9.0ms	(+ (* x y) (* z (+ x 5.0)))
20.0ms	(* z (+ x 5.0))

series86.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* x y) (* z (+ x 5.0)))
47.0ms	(* z (+ x 5.0))

simplify2.3s

Counts

42 → 42

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	71	422
1	210	384
2	748	356
3	3473	356
done	5001	356

prune104.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

32.0ms	(* x (+ y z))
21.0ms	(+ (* x (+ y z)) (* z 5.0))

series76.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* x (+ y z))
45.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify1.8s

Counts

42 → 42

Iterations

Useful iterations: 3 (700.0ms)

Iter	Nodes	Cost
0	72	422
1	213	386
2	701	358
3	2953	356
done	5001	356

prune134.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 73

Calls

4 calls:

12.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

282.0ms	(* (cbrt z) (cbrt z))
276.0ms	(cbrt z)
269.0ms	(cbrt z)
261.0ms	(cbrt z)

simplify4.7s

Counts

85 → 85

Iterations

Useful iterations: done (4.7s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune298.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes123.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

901.0ms	9799×	body	80	valid
22.0ms	106×	body	1280	valid
16.0ms	120×	body	640	valid
6.0ms	53×	body	320	valid
3.0ms	32×	body	160	valid