Details

sample114.0ms

Algorithm

intervals

Results

65.0ms	55×	body	1280	valid
17.0ms	136×	body	80	valid
12.0ms	32×	body	640	valid
6.0ms	21×	body	320	valid
2.0ms	12×	body	160	valid

simplify248.0ms

Counts

1 → 1

Iterations

Iter	Nodes
17	209
16	209
15	207
14	188
13	140
12	109
11	96
10	89
9	69
8	53
7	42
6	32
5	26
4	23
3	22
2	19
1	15
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.8b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1))
0.0b	(/ (+ x 1) (- x 1))
3.0b	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
60×	`times-frac`
57×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
20×	`distribute-lft-out`
18×	`distribute-lft-out--`
14×	`difference-of-squares`
11×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`difference-of-sqr-1` `add-log-exp`
4×	`associate-/r/`
3×	`pow1` `insert-posit16`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `div-inv` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 117

Calls

3 calls:

14.0ms	(/ x (+ x 1))
34.0ms	(/ (+ x 1) (- x 1))
57.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

series159.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ x (+ x 1))
32.0ms	(/ (+ x 1) (- x 1))
94.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

simplify1.2s

Counts

126 → 126

Iterations

Iter	Nodes
3	3207
2	996
1	385
0	180

prune800.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1) (+ x 1))
0.0b	(* (+ x 1) (- x 1))
0.0b	(/ (- (* x (- x 1)) (* (+ x 1) (+ x 1))) (* (+ x 1) (- x 1)))
17.5b	(- (* x (- x 1)) (* (+ x 1) (+ x 1)))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

46×	`associate-*r/`
36×	`flip3-+` `flip-+`
32×	`frac-sub`
31×	`*-un-lft-identity`
28×	`frac-times`
24×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
18×	`associate-/l/`
14×	`associate-*l/`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`add-cube-cbrt`
11×	`associate-r`
8×	`associate-l` `associate-/r/`
7×	`distribute-lft-out`
6×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr` `add-log-exp`
5×	`sub-neg`
4×	`associate--l+` `insert-posit16`
3×	`times-frac` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `associate--r+` `difference-of-squares` `unswap-sqr`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `diff-log` `difference-of-sqr-1` `div-sub` `pow-sqr` `pow-prod-up` `div-inv` `distribute-lft-out--`

Counts

4 → 161

Calls

4 calls:

42.0ms	(* (+ x 1) (+ x 1))
45.0ms	(* (+ x 1) (- x 1))
72.0ms	(/ (- (* x (- x 1)) (* (+ x 1) (+ x 1))) (* (+ x 1) (- x 1)))
15.0ms	(- (* x (- x 1)) (* (+ x 1) (+ x 1)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ x 1) (+ x 1))
107.0ms	(* (+ x 1) (- x 1))
62.0ms	(/ (- (* x (- x 1)) (* (+ x 1) (+ x 1))) (* (+ x 1) (- x 1)))
52.0ms	(- (* x (- x 1)) (* (+ x 1) (+ x 1)))

simplify1.5s

Counts

173 → 173

Iterations

Iter	Nodes
2	4310
1	875
0	248

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) (- x 1))
0.0b	(+ -1 (* -3 x))
13.8b	(/ (+ -1 (* -3 x)) (* (+ x 1) (- x 1)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `flip3-+` `associate-/r/` `flip-+`
7×	`associate-r` `add-cube-cbrt`
6×	`flip3--` `flip--`
5×	`pow1` `add-log-exp`
4×	`associate-l` `associate-l/` `associate-r/`
3×	`times-frac` `insert-posit16` `associate-/l*`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `difference-of-squares` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `sum-log` `frac-2neg` `difference-of-sqr-1` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

24.0ms	(* (+ x 1) (- x 1))
4.0ms	(+ -1 (* -3 x))
25.0ms	(/ (+ -1 (* -3 x)) (* (+ x 1) (- x 1)))

series231.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(* (+ x 1) (- x 1))
56.0ms	(+ -1 (* -3 x))
67.0ms	(/ (+ -1 (* -3 x)) (* (+ x 1) (- x 1)))

simplify2.8s

Counts

89 → 89

Iterations

Iter	Nodes
3	5820
2	1390
1	422
0	145

prune712.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(+ -1 (* -3 x))
0.1b	(/ (+ -1 (* -3 x)) (- x 1))
0.2b	(* (/ 1 (+ x 1)) (/ (+ -1 (* -3 x)) (- x 1)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
73×	`times-frac`
44×	`add-cube-cbrt`
32×	`add-exp-log`
27×	`associate-r`
20×	`add-cbrt-cube`
18×	`associate-l`
14×	`difference-of-squares`
11×	`associate-/r*` `div-exp`
8×	`prod-exp` `associate-/r/`
7×	`pow1` `difference-of-sqr-1` `distribute-lft-out` `distribute-lft-out--`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp` `unswap-sqr`
4×	`flip3-+` `cbrt-unprod` `flip-+` `insert-posit16` `div-inv`
3×	`rec-exp` `1-exp`
2×	`clear-num` `frac-2neg` `flip3--` `flip--` `associate-/l/`
1×	`frac-times` `+-commutative` `sum-log` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 174

Calls

4 calls:

8.0ms	(/ 1 (+ x 1))
4.0ms	(+ -1 (* -3 x))
19.0ms	(/ (+ -1 (* -3 x)) (- x 1))
51.0ms	(* (/ 1 (+ x 1)) (/ (+ -1 (* -3 x)) (- x 1)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (+ x 1))
56.0ms	(+ -1 (* -3 x))
53.0ms	(/ (+ -1 (* -3 x)) (- x 1))
64.0ms	(* (/ 1 (+ x 1)) (/ (+ -1 (* -3 x)) (- x 1)))

simplify1.2s

Counts

186 → 186

Iterations

Iter	Nodes
2	2200
1	699
0	241

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	17
1	17
0	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

697.0ms	1719×	body	1280	valid
444.0ms	1265×	body	640	valid
333.0ms	4028×	body	80	valid
165.0ms	660×	body	320	valid
45.0ms	328×	body	160	valid

Iter	Nodes
17	209
16	209
15	207
14	188
13	140
12	109
11	96
10	89
9	69
8	53
7	42
6	32
5	26
4	23
3	22
2	19
1	15
0	7

Iter	Nodes
17	209
16	209
15	207
14	188
13	140
12	109
11	96
10	89
9	69
8	53
7	42
6	32
5	26
4	23
3	22
2	19
1	15
0	7

Iter	Nodes
17	209
16	209
15	207
14	188
13	140
12	109
11	96
10	89
9	69
8	53
7	42
6	32
5	26
4	23
3	22
2	19
1	15
0	7