Details

sample53.0ms

Algorithm

intervals

Results

24.0ms	198×	body	160	valid
11.0ms	58×	body	320	valid
6.0ms	256×	pre	80	true

simplify6.7s

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

prune4.0ms

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))))

rewrite40.0ms

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))))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify1.8s

Counts

36 → 36

Iterations

Useful iterations: done (1.8s)

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

prune156.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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:

26.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify4.3s

Counts

30 → 30

Iterations

Useful iterations: 4 (1.6s)

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

prune99.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

32.0ms

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

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify3.3s

Counts

29 → 29

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	68	338
1	165	300
2	473	189
3	1373	189
done	5001	188

prune81.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite68.0ms

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:

43.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
21.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

series204.0ms

Counts

2 → 6

Calls

2 calls:

120.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
84.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

simplify3.0s

Counts

62 → 62

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	74	651
1	166	500
2	509	431
3	1821	431
done	5001	422

prune92.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes26.0ms

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	8	9
1	10	9
done	10	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s	5981×	body	160	valid
374.0ms	2019×	body	320	valid
137.0ms	8000×	pre	80	true