Details

sample22.0ms

Algorithm

intervals

Results

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

simplify2.4s

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	1248	19
6	2780	19
done	5000	19

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.8b

localize12.0ms

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))))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify693.0ms

Counts

36 → 36

Iterations

Useful iterations: 2 (161.0ms)

Iter	Nodes	Cost
0	133	2063
1	521	1860
2	2306	1796
done	5000	1796

prune88.0ms

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))

rewrite6.0ms

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:

5.0ms

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

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify1.0s

Counts

30 → 30

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	51	232
1	108	209
2	361	176
3	1363	176
done	5001	176

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)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
73.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

simplify1.8s

Counts

62 → 62

Iterations

Useful iterations: 3 (530.0ms)

Iter	Nodes	Cost
0	74	651
1	169	500
2	616	435
3	2565	433
done	5001	433

prune101.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(* t (sqrt 3.9999999999999997e-32))
0.2b	(* t (* t (sqrt 3.9999999999999997e-32)))
0.3b	(* (sqrt 3.9999999999999997e-32) (* (sqrt 1) (* t (* t (sqrt 3.9999999999999997e-32)))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt`
12×	`associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
7×	`sqrt-prod`
3×	`*-commutative` `add-log-exp`
2×	`unswap-sqr`

Counts

3 → 67

Calls

3 calls:

4.0ms	(* t (sqrt 3.9999999999999997e-32))
8.0ms	(* t (* t (sqrt 3.9999999999999997e-32)))
64.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 1) (* t (* t (sqrt 3.9999999999999997e-32)))))

series162.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* t (sqrt 3.9999999999999997e-32))
51.0ms	(* t (* t (sqrt 3.9999999999999997e-32)))
70.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 1) (* t (* t (sqrt 3.9999999999999997e-32)))))

simplify4.0s

Counts

76 → 76

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	90	835
1	238	575
2	905	469
3	4579	458
done	5000	458

prune102.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes25.0ms

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	12
1	15	12
done	15	12

end0.0ms

sample529.0ms

Algorithm

intervals

Results

244.0ms	5968×	body	160	valid
121.0ms	2032×	body	320	valid
76.0ms	8000×	pre	80	true