Details

sample37.0ms

Algorithm

intervals

Results

16.0ms	194×	body	160	valid
7.0ms	62×	body	320	valid
3.0ms	256×	pre	80	true

simplify5.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	19
1	27	19
2	77	19
3	208	19
4	532	19
5	1225	19
6	2781	19
done	5001	19

prune2.0ms

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: 61.8b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

61.8b

(+ (* (+ 1.0 (* t 2e-16)) (+ 1.0 (* t 2e-16))) (- -1.0 (* 2.0 (* t 2e-16))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`frac-add`
13×	`flip3-+` `flip-+`
8×	`frac-times` `flip3--` `flip--`
6×	`add-log-exp`
4×	`associate-r/` `associate-l/`
2×	`associate-+l+` `associate-+r+` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `sub-neg` `*-un-lft-identity` `distribute-lft-in` `diff-log` `add-cbrt-cube`

Counts

1 → 33

Calls

1 calls:

16.0ms

(+ (* (+ 1.0 (* t 2e-16)) (+ 1.0 (* t 2e-16))) (- -1.0 (* 2.0 (* t 2e-16))))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(+ (* (+ 1.0 (* t 2e-16)) (+ 1.0 (* t 2e-16))) (- -1.0 (* 2.0 (* t 2e-16))))

simplify760.0ms

Counts

36 → 36

Iterations

Useful iterations: 2 (186.0ms)

Iter	Nodes	Cost
0	133	2063
1	521	1860
2	2306	1796
done	5000	1796

prune92.0ms

Filtered

25 candidates to 36 candidates (-44.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	1	37

Merged error: 0.4b

Counts

37 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 3.9999999999999997e-32 (pow t 2))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

6.0ms

(* 3.9999999999999997e-32 (pow t 2))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* 3.9999999999999997e-32 (pow t 2))

simplify2.6s

Counts

30 → 30

Iterations

Useful iterations: 4 (950.0ms)

Iter	Nodes	Cost
0	51	232
1	108	209
2	276	176
3	691	176
4	3165	173
done	5000	173

prune46.0ms

Filtered

18 candidates to 30 candidates (-66.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	25	5	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	6	31

Merged error: 0.0b

Counts

31 → 6

localize3.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (* 3.9999999999999997e-32 t) t)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* 3.9999999999999997e-32 t) t)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* 3.9999999999999997e-32 t) t)

simplify4.4s

Counts

21 → 21

Iterations

Useful iterations: 4 (2.4s)

Iter	Nodes	Cost
0	36	157
1	95	152
2	376	122
3	1179	122
4	2807	121
done	5000	121

prune34.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	20	7	27

Merged error: 0.0b

Counts

27 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
0.3b	(* (sqrt 3.9999999999999997e-32) (pow t 2))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`add-exp-log`
12×	`associate-l`
10×	`prod-exp` `sqrt-prod`
9×	`associate-r` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity` `unswap-sqr`
5×	`unpow-prod-down`
4×	`pow1` `cbrt-unprod`
3×	`unpow2` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 56

Calls

2 calls:

8.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
7.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
5.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

simplify2.1s

Counts

62 → 62

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	74	651
1	169	500
2	562	431
3	1953	431
done	5000	431

prune74.0ms

Filtered

34 candidates to 62 candidates (-82.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	4	4
Picked	0	1	1
Done	1	1	2
Total	61	8	69

Merged error: 0.0b

Counts

69 → 8

regimes43.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	9	9
done	9	9

end0.0ms

sample978.0ms

Algorithm

intervals

Results

495.0ms	6005×	body	160	valid
244.0ms	1995×	body	320	valid
101.0ms	8000×	pre	80	true

Details

sample37.0ms

simplify5.3s

prune2.0ms

localize8.0ms

rewrite18.0ms

series4.0ms

simplify760.0ms

prune92.0ms

localize4.0ms

rewrite7.0ms

series3.0ms

simplify2.6s

prune46.0ms

localize3.0ms

rewrite6.0ms

series3.0ms

simplify4.4s

prune34.0ms

localize6.0ms

rewrite17.0ms

series13.0ms

simplify2.1s

prune74.0ms

regimes43.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample978.0ms

Profiling