Details

sample46.0ms

Algorithm

intervals

Results

16.0ms	40×	body	320	valid
11.0ms	71×	body	640	valid
5.0ms	125×	body	80	valid
1.0ms	20×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
2.7b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
55×	`times-frac`
50×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
25×	`distribute-lft-out--`
10×	`distribute-lft-out`
9×	`associate-/r*`
8×	`difference-of-squares`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1` `flip--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `flip-+`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 102

Calls

3 calls:

12.0ms	(/ 1.0 (+ x 1.0))
17.0ms	(/ 1.0 (- x 1.0))
101.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series368.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ 1.0 (+ x 1.0))
55.0ms	(/ 1.0 (- x 1.0))
266.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.4s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	1581
1	410
0	175

prune449.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.2b	(- (- x 1.0) (+ x 1.0))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
17×	`add-log-exp`
14×	`add-sqr-sqrt`
12×	`times-frac` `add-cube-cbrt`
7×	`diff-log`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`flip3--` `add-cbrt-cube` `add-exp-log` `flip--`
4×	`associate-/r*` `frac-sub`
3×	`pow1` `sub-neg` `associate-/l*`
2×	`sum-log` `flip3-+` `associate--l+` `associate-/r/` `flip-+` `distribute-lft-out`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate--r+`

Counts

3 → 74

Calls

3 calls:

12.0ms	(- (* x x) (* 1.0 1.0))
15.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
46.0ms	(- (- x 1.0) (+ x 1.0))

series141.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (* x x) (* 1.0 1.0))
72.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
13.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.6s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	2498
1	455
0	161

prune373.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`times-frac`
23×	`*-un-lft-identity` `add-cube-cbrt`
18×	`associate-l`
10×	`add-cbrt-cube` `associate-r` `add-exp-log`
8×	`difference-of-squares`
5×	`pow1` `add-log-exp`
4×	`associate-/r*` `associate-/r/`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3--` `flip--` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `neg-mul-1` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-l/` `-commutative` `distribute-rgt-neg-out`

Counts

3 → 91

Calls

3 calls:

6.0ms	(- (* x x) (* 1.0 1.0))
49.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
10.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series192.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* x x) (* 1.0 1.0))
78.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
62.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	2817
1	499
0	164

prune405.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
0.1b	(* (/ 1 (+ x 1.0)) (* (/ 1.0 (- x 1.0)) (- 2.0)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
48×	`add-exp-log`
39×	`times-frac`
38×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
28×	`add-cbrt-cube`
20×	`prod-exp`
18×	`associate-l`
13×	`div-exp`
10×	`cbrt-unprod`
9×	`pow1` `associate-/r*`
7×	`cbrt-undiv` `distribute-lft-out`
6×	`associate-/r/` `associate-/l*`
4×	`rec-exp` `1-exp` `distribute-lft-out--` `difference-of-squares`
3×	`pow-prod-down` `associate-*l/` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3-+` `distribute-rgt-neg-out` `flip-+`
1×	`frac-times` `flip3--` `associate-r` `associate-r/` `-commutative` `pow-flip` `flip--` `inv-pow`

Counts

3 → 125

Calls

3 calls:

18.0ms	(/ 1 (+ x 1.0))
17.0ms	(/ 1.0 (- x 1.0))
78.0ms	(* (/ 1 (+ x 1.0)) (* (/ 1.0 (- x 1.0)) (- 2.0)))

series171.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ 1 (+ x 1.0))
45.0ms	(/ 1.0 (- x 1.0))
101.0ms	(* (/ 1 (+ x 1.0)) (* (/ 1.0 (- x 1.0)) (- 2.0)))

simplify2.7s

Counts

134 → 134

Iterations

Iter	Nodes
done	5001
2	3722
1	593
0	212

prune509.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes35.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	35
4	35
3	32
2	26
1	18
0	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

537.0ms	4287×	body	80	valid
309.0ms	1853×	body	640	valid
193.0ms	1251×	body	320	valid
44.0ms	609×	body	160	valid