Details

sample22.0ms

Algorithm

intervals

Results

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

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	19
1	27	19
2	77	19
3	210	19
4	557	19
5	1289	19
6	2946	19
done	5000	19

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.8b

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))))

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))))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify712.0ms

Counts

36 → 36

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	133	2063
1	523	1860
2	2326	1796
done	5001	1796

prune86.0ms

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))

simplify1.8s

Counts

30 → 30

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	51	232
1	110	209
2	414	176
3	1775	176
done	5000	176

prune45.0ms

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)))

rewrite26.0ms

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) (pow t 2))
16.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
71.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

simplify3.6s

Counts

62 → 62

Iterations

Useful iterations: 3 (503.0ms)

Iter	Nodes	Cost
0	74	651
1	177	500
2	733	431
3	3255	429
done	5000	429

prune101.0ms

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	(* t (sqrt 3.9999999999999997e-32))
0.2b	(* (* t (sqrt 3.9999999999999997e-32)) (pow t (/ 2 2)))
0.3b	(* (sqrt 3.9999999999999997e-32) (* (* t (sqrt 3.9999999999999997e-32)) (pow t (/ 2 2))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
26×	`prod-exp`
19×	`add-cbrt-cube`
14×	`add-sqr-sqrt` `associate-r`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `cbrt-unprod`
7×	`pow1` `sqrt-prod`
4×	`pow-to-exp` `pow-exp`
3×	`unpow-prod-down` `*-commutative` `add-log-exp`
2×	`pow-prod-down` `unswap-sqr`
1×	`sqr-pow`

Counts

3 → 72

Calls

3 calls:

5.0ms	(* t (sqrt 3.9999999999999997e-32))
14.0ms	(* (* t (sqrt 3.9999999999999997e-32)) (pow t (/ 2 2)))
33.0ms	(* (sqrt 3.9999999999999997e-32) (* (* t (sqrt 3.9999999999999997e-32)) (pow t (/ 2 2))))

series165.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* t (sqrt 3.9999999999999997e-32))
45.0ms	(* (* t (sqrt 3.9999999999999997e-32)) (pow t (/ 2 2)))
74.0ms	(* (sqrt 3.9999999999999997e-32) (* (* t (sqrt 3.9999999999999997e-32)) (pow t (/ 2 2))))

simplify1.1s

Counts

81 → 81

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	100	1018
1	264	763
2	1178	506
done	5000	506

prune112.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes27.0ms

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	9	13
1	12	13
done	12	13

end0.0ms

sample549.0ms

Algorithm

intervals

Results

256.0ms	5968×	body	160	valid
129.0ms	2032×	body	320	valid
72.0ms	8000×	pre	80	true