Details

sample73.0ms

Algorithm

intervals

Results

25.0ms	68×	body	320	valid
23.0ms	188×	body	160	valid
5.0ms	256×	pre	80	true

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	19
1	27	19
2	84	19
3	267	19
4	881	19
5	3965	19
done	5001	19

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.8b

localize25.0ms

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))))

rewrite47.0ms

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:

44.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify2.1s

Counts

36 → 36

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	133	2063
1	583	1860
2	3079	1796
done	5000	1788

prune240.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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:

23.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify4.2s

Counts

30 → 30

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	51	232
1	115	209
2	431	178
3	2950	176
done	5002	173

prune163.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* t 3.9999999999999997e-32) (pow t (/ 2 2)))

rewrite48.0ms

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:

46.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify1.9s

Counts

27 → 27

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	57	324
1	171	239
2	1283	166
done	5001	162

prune131.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite89.0ms

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:

29.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
56.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

series225.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
135.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

simplify1.2s

Counts

62 → 62

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	74	651
1	181	576
2	976	443
done	5000	429

prune261.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	7	9
1	10	7
2	14	5
3	18	5
4	20	5
done	20	5

end0.0ms

sample2.3s

Algorithm

intervals

Results

834.0ms	8000×	pre	80	true
743.0ms	6003×	body	160	valid
446.0ms	1997×	body	320	valid