Details

sample37.0ms

Algorithm

intervals

Results

12.0ms	61×	body	640	valid
7.0ms	137×	body	80	valid
5.0ms	30×	body	320	valid
3.0ms	11×	body	1280	valid
2.0ms	17×	body	160	valid

simplify240.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	283
1	18	283
2	31	283
3	41	283
4	60	283
5	72	283
6	83	283
7	103	283
8	170	283
9	198	283
done	198	283

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.4b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite449.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
47×	`times-frac`
43×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
14×	`distribute-lft-out--`
13×	`distribute-lft-out`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `associate-+l+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-`

Counts

4 → 114

Calls

4 calls:

16.0ms	(/ 1.0 (+ x 1.0))
17.0ms	(/ 1.0 (- x 1.0))
69.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
340.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ 1.0 (+ x 1.0))
31.0ms	(/ 1.0 (- x 1.0))
46.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
280.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify1.9s

Counts

126 → 126

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	212	39541
1	514	33737
2	1571	32727
done	5000	32607

prune564.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 2.0 x) (/ 1.0 (- x 1.0)))
2.4b	(- (/ 1.0 (+ x 1.0)) (- (/ 2.0 x) (/ 1.0 (- x 1.0))))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

9.0ms	(/ 1.0 (+ x 1.0))
15.0ms	(/ 1.0 (- x 1.0))
37.0ms	(- (/ 2.0 x) (/ 1.0 (- x 1.0)))
141.0ms	(- (/ 1.0 (+ x 1.0)) (- (/ 2.0 x) (/ 1.0 (- x 1.0))))

series445.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ 1.0 (+ x 1.0))
36.0ms	(/ 1.0 (- x 1.0))
62.0ms	(- (/ 2.0 x) (/ 1.0 (- x 1.0)))
307.0ms	(- (/ 1.0 (+ x 1.0)) (- (/ 2.0 x) (/ 1.0 (- x 1.0))))

simplify1.8s

Counts

129 → 129

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	218	41479
1	540	35675
2	1718	34745
done	5003	34625

prune566.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
2.4b	(+ (/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x)) (/ 1.0 (- x 1.0)))
16.8b	(/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
18×	`times-frac`
16×	`add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
6×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/` `distribute-lft-out--` `difference-of-squares`
3×	`cbrt-undiv` `flip3--` `div-exp` `flip--`
2×	`clear-num` `frac-2neg` `flip3-+` `div-sub` `associate-*l/` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `frac-add` `prod-exp` `associate-+l-` `cbrt-unprod` `distribute-lft-out`

Counts

4 → 89

Calls

4 calls:

16.0ms	(/ 1.0 (- x 1.0))
12.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
64.0ms	(+ (/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x)) (/ 1.0 (- x 1.0)))
22.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x))

series631.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1.0 (- x 1.0))
56.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
454.0ms	(+ (/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x)) (/ 1.0 (- x 1.0)))
89.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 2.0)) (* (+ x 1.0) x))

simplify2.2s

Counts

101 → 101

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	197	34073
1	551	29911
2	1971	26622
done	5001	26582

prune422.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) (- (* 2.0 (- x 1.0)) (* x 1.0)))
0.0b	(- (* 2.0 (- x 1.0)) (* x 1.0))
0.0b	(* (+ x 1.0) (* x (- x 1.0)))
19.9b	(- (* 1.0 (* x (- x 1.0))) (* (+ x 1.0) (- (* 2.0 (- x 1.0)) (* x 1.0))))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

46×	`associate-*r/`
38×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate--l+`
24×	`sub-neg`
22×	`flip3--` `flip--`
16×	`frac-times` `frac-sub`
12×	`flip3-+` `flip-+` `associate--r+`
11×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
8×	`associate-l` `associate-*l/` `add-log-exp`
7×	`add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `*-commutative` `distribute-lft-out`
1×	`unswap-sqr`

Counts

4 → 138

Calls

4 calls:

68.0ms	(* (+ x 1.0) (- (* 2.0 (- x 1.0)) (* x 1.0)))
12.0ms	(- (* 2.0 (- x 1.0)) (* x 1.0))
70.0ms	(* (+ x 1.0) (* x (- x 1.0)))
92.0ms	(- (* 1.0 (* x (- x 1.0))) (* (+ x 1.0) (- (* 2.0 (- x 1.0)) (* x 1.0))))

series260.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (+ x 1.0) (- (* 2.0 (- x 1.0)) (* x 1.0)))
53.0ms	(- (* 2.0 (- x 1.0)) (* x 1.0))
162.0ms	(* (+ x 1.0) (* x (- x 1.0)))
2.0ms	(- (* 1.0 (* x (- x 1.0))) (* (+ x 1.0) (- (* 2.0 (- x 1.0)) (* x 1.0))))

simplify4.5s

Counts

150 → 150

Iterations

Useful iterations: 2 (2.0s)

Iter	Nodes	Cost
0	251	72787
1	909	62395
2	4723	59755
done	5001	59755

prune727.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

100% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 26.0b

bsearch171.0ms

Steps

Iters	Range		Point
9	0.1909160003853501	166131308.15705827	168550.15379253146
10	-27652538170.40468	-0.18371106458419734	-1440571.9585081101

simplify19.0ms

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	31	1407
1	44	1407
done	44	1407

end0.0ms

sample1.8s

Algorithm

intervals

Results

846.0ms	1879×	body	640	valid
355.0ms	4139×	body	80	valid
229.0ms	549×	body	1280	valid
148.0ms	946×	body	320	valid
54.0ms	489×	body	160	valid