Details

sample46.0ms

Algorithm

intervals

Results

21.0ms	191×	body	160	valid
8.0ms	65×	body	320	valid
4.0ms	256×	pre	80	true

simplify6.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	27	19
2	84	19
3	245	19
4	625	19
5	1546	19
6	3017	19
done	5000	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.8b

localize16.0ms

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))))

rewrite42.0ms

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:

38.0ms

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

series77.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

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

simplify1.6s

Counts

36 → 36

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	133	2063
1	578	1860
2	2836	1796
done	5000	1788

prune148.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:

13.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify4.0s

Counts

30 → 30

Iterations

Useful iterations: 4 (1.7s)

Iter	Nodes	Cost
0	51	232
1	107	209
2	233	176
3	678	176
4	3313	173
done	5001	173

prune68.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

43.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify2.7s

Counts

27 → 27

Iterations

Useful iterations: 3 (665.0ms)

Iter	Nodes	Cost
0	57	324
1	147	235
2	436	160
3	1416	157
done	5001	157

prune46.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (fabs t) (sqrt 3.9999999999999997e-32))
0.1b	(* (fabs t) (sqrt 3.9999999999999997e-32))
0.4b	(* (* (fabs t) (sqrt 3.9999999999999997e-32)) (* (fabs t) (sqrt 3.9999999999999997e-32)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
19×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
17×	`add-sqr-sqrt`
13×	`associate-r`
10×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-prod`
7×	`associate-l`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

3 → 78

Calls

3 calls:

19.0ms	(* (fabs t) (sqrt 3.9999999999999997e-32))
24.0ms	(* (fabs t) (sqrt 3.9999999999999997e-32))
60.0ms	(* (* (fabs t) (sqrt 3.9999999999999997e-32)) (* (fabs t) (sqrt 3.9999999999999997e-32)))

series255.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* (fabs t) (sqrt 3.9999999999999997e-32))
47.0ms	(* (fabs t) (sqrt 3.9999999999999997e-32))
145.0ms	(* (* (fabs t) (sqrt 3.9999999999999997e-32)) (* (fabs t) (sqrt 3.9999999999999997e-32)))

simplify3.7s

Counts

87 → 87

Iterations

Useful iterations: 3 (842.0ms)

Iter	Nodes	Cost
0	61	821
1	131	604
2	502	504
3	1715	499
done	5000	499

prune197.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes47.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	7	9
1	10	7
2	12	5
done	12	5

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s	6090×	body	160	valid
288.0ms	1910×	body	320	valid
123.0ms	8000×	pre	80	true