Details

sample39.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 4 (2.8s)

Iter	Nodes	Cost
0	10	25
1	31	25
2	164	23
3	890	19
4	3359	15
done	5000	15

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
0.1b	(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`

Counts

2 → 62

Calls

2 calls:

22.0ms	(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
42.0ms	(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
94.0ms	(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify2.0s

Counts

68 → 68

Iterations

Useful iterations: 3 (893.0ms)

Iter	Nodes	Cost
0	156	1548
1	395	1521
2	1190	1361
3	4365	1355
done	5000	1355

prune135.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
0.1b	(* (/ i (* 2.0 2.0)) (/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))
0.1b	(/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
34×	`add-sqr-sqrt`
28×	`times-frac`
26×	`add-cbrt-cube`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
16×	`div-exp` `prod-exp`
15×	`associate-r`
8×	`cbrt-undiv` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
5×	`add-log-exp`
4×	`rec-exp` `1-exp` `associate-/r/`
3×	`flip3--` `associate-/r` `flip--` `div-inv` `associate-/l`
1×	`frac-times` `sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 104

Calls

3 calls:

20.0ms	(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
103.0ms	(* (/ i (* 2.0 2.0)) (/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))
38.0ms	(/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series223.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
92.0ms	(* (/ i (* 2.0 2.0)) (/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))
65.0ms	(/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify1.4s

Counts

113 → 113

Iterations

Useful iterations: 2 (291.0ms)

Iter	Nodes	Cost
0	197	2324
1	521	2119
2	1606	1775
done	5000	1775

prune167.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (pow i 3))
0.0b	(+ (* 4.0 (pow i 3)) (+ (* 16.0 (pow i 5)) (* 1.0 i)))
0.0b	(* (/ i (* 2.0 2.0)) (- (+ (* 4.0 (pow i 3)) (+ (* 16.0 (pow i 5)) (* 1.0 i)))))
0.0b	(* 16.0 (pow i 5))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
29×	`associate-r`
23×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
10×	`prod-exp`
9×	`add-log-exp` `unswap-sqr`
8×	`unpow-prod-down`
6×	`pow1` `cbrt-unprod`
4×	`times-frac` `cube-prod` `distribute-neg-frac` `sqr-pow`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `sum-log` `*-commutative` `flip-+`
2×	`cbrt-undiv` `frac-times` `pow-to-exp` `distribute-neg-in` `associate-*r/` `div-exp` `pow-exp`
1×	`+-commutative` `distribute-rgt-in` `cube-mult` `neg-mul-1` `associate-+r+` `distribute-lft-in` `unpow3` `pow-prod-down` `associate-*l/` `distribute-rgt-neg-out` `div-inv`

Counts

4 → 111

Calls

4 calls:

13.0ms	(* 4.0 (pow i 3))
21.0ms	(+ (* 4.0 (pow i 3)) (+ (* 16.0 (pow i 5)) (* 1.0 i)))
145.0ms	(* (/ i (* 2.0 2.0)) (- (+ (* 4.0 (pow i 3)) (+ (* 16.0 (pow i 5)) (* 1.0 i)))))
11.0ms	(* 16.0 (pow i 5))

series252.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* 4.0 (pow i 3))
61.0ms	(+ (* 4.0 (pow i 3)) (+ (* 16.0 (pow i 5)) (* 1.0 i)))
101.0ms	(* (/ i (* 2.0 2.0)) (- (+ (* 4.0 (pow i 3)) (+ (* 16.0 (pow i 5)) (* 1.0 i)))))
52.0ms	(* 16.0 (pow i 5))

simplify1.2s

Counts

123 → 123

Iterations

Useful iterations: 2 (390.0ms)

Iter	Nodes	Cost
0	217	2178
1	603	2048
2	2608	1822
done	5001	1822

prune306.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	12	15
done	12	15

end0.0ms

sample395.0ms

Algorithm

intervals

Results

212.0ms	8000×	body	80	valid
62.0ms	8000×	pre	80	true