Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

316×

body

valid

simplify28.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	24	7
3	46	7
4	64	7
5	72	7
done	72	7

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 4.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* y z))
4.3b	(* x (- 1.0 (* y z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

3.0ms	(- 1.0 (* y z))
6.0ms	(* x (- 1.0 (* y z)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(- 1.0 (* y z))
15.0ms	(* x (- 1.0 (* y z)))

simplify1.6s

Counts

42 → 42

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	60	399
1	146	391
2	425	349
3	1215	349
4	4105	349
done	5001	349

prune87.0ms

Filtered

27 candidates to 42 candidates (-55.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	33	9	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	9	43

Merged error: 4.4b

Counts

43 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (* x (neg (* y z))))
6.2b	(* x (neg (* y z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

4.0ms	(+ (* 1.0 x) (* x (neg (* y z))))
5.0ms	(* x (neg (* y z)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* 1.0 x) (* x (neg (* y z))))
7.0ms	(* x (neg (* y z)))

simplify1.9s

Counts

41 → 41

Iterations

Useful iterations: 3 (434.0ms)

Iter	Nodes	Cost
0	66	413
1	186	373
2	764	315
3	4520	310
done	5000	310

prune64.0ms

Filtered

27 candidates to 41 candidates (-51.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	43	7	50

Merged error: 0.0b

Counts

50 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (* (neg (* x y)) z))
5.8b	(* (neg (* x y)) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

4.0ms	(+ (* 1.0 x) (* (neg (* x y)) z))
5.0ms	(* (neg (* x y)) z)

series18.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* 1.0 x) (* (neg (* x y)) z))
7.0ms	(* (neg (* x y)) z)

simplify409.0ms

Counts

41 → 41

Iterations

Useful iterations: done (408.0ms)

Iter	Nodes	Cost
0	65	415
1	183	375
2	847	322
done	5000	320

prune64.0ms

Filtered

34 candidates to 41 candidates (-20.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	41	7	48

Merged error: 0b

Counts

48 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (neg (* y (* x z))))
7.7b	(* y (* x z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sum-log`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3-+` `associate-r` `unsub-neg` `neg-log` `*-commutative` `flip-+`

Counts

2 → 33

Calls

2 calls:

5.0ms	(+ (* 1.0 x) (neg (* y (* x z))))
6.0ms	(* y (* x z))

series17.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* 1.0 x) (neg (* y (* x z))))
6.0ms	(* y (* x z))

simplify1.5s

Counts

39 → 39

Iterations

Useful iterations: 3 (426.0ms)

Iter	Nodes	Cost
0	68	388
1	204	359
2	789	283
3	4382	275
done	5000	275

prune38.0ms

Filtered

28 candidates to 39 candidates (-39.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	39	7	46

Merged error: 0b

Counts

46 → 7

regimes512.0ms

Accuracy

96.6% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 4.7b

bsearch1.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	42
1	47	42
2	61	42
3	63	42
done	63	42

end0.0ms

sample641.0ms

Algorithm

intervals

Results

262.0ms

9724×

body

valid

Details

sample24.0ms

simplify28.0ms

prune3.0ms

localize6.0ms

rewrite10.0ms

series19.0ms

simplify1.6s

prune87.0ms

localize7.0ms

rewrite10.0ms

series17.0ms

simplify1.9s

prune64.0ms

localize7.0ms

rewrite10.0ms

series18.0ms

simplify409.0ms

prune64.0ms

localize7.0ms

rewrite11.0ms

series17.0ms

simplify1.5s

prune38.0ms

regimes512.0ms

bsearch1.0ms

simplify12.0ms

end0.0ms

sample641.0ms

Profiling