Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	192×	body	160	valid
4.0ms	64×	body	320	valid
2.0ms	256×	pre	80	true

simplify4.2s

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	535	19
5	1250	19
6	2790	19
done	5000	19

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.8b

localize7.0ms

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))))

rewrite12.0ms

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:

10.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify728.0ms

Counts

36 → 36

Iterations

Useful iterations: 2 (179.0ms)

Iter	Nodes	Cost
0	133	2063
1	521	1860
2	2306	1796
done	5001	1796

prune89.0ms

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))

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))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify2.4s

Counts

30 → 30

Iterations

Useful iterations: 4 (819.0ms)

Iter	Nodes	Cost
0	51	232
1	108	209
2	276	176
3	691	176
4	3215	173
done	5001	173

prune49.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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)))

rewrite21.0ms

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:

7.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
12.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
68.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

simplify2.1s

Counts

62 → 62

Iterations

Useful iterations: 3 (628.0ms)

Iter	Nodes	Cost
0	74	651
1	169	500
2	559	435
3	1946	431
done	5000	431

prune97.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b

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

0.2b

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

0.3b

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt` `associate-r` `sqrt-prod`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`unpow-prod-down` `*-commutative` `add-log-exp`
2×	`unswap-sqr`
1×	`unpow2` `sqr-pow`

Counts

3 → 72

Calls

3 calls:

4.0ms

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

14.0ms

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

34.0ms

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

series192.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms

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

62.0ms

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

97.0ms

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

simplify2.4s

Counts

81 → 81

Iterations

Useful iterations: 2 (197.0ms)

Iter	Nodes	Cost
0	110	1029
1	273	827
2	997	558
3	3004	558
done	5000	558

prune145.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes28.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	13	13
done	13	13

end0.0ms

sample524.0ms

Algorithm

intervals

Results

248.0ms	5968×	body	160	valid
122.0ms	2032×	body	320	valid
67.0ms	8000×	pre	80	true