Details

sample73.0ms

Algorithm

intervals

Results

29.0ms	59×	body	1280	valid
16.0ms	42×	body	640	valid
13.0ms	134×	body	80	valid
5.0ms	17×	body	320	valid
1.0ms	4×	body	160	valid

simplify204.0ms

Counts

1 → 1

Iterations

Iter	Nodes
17	206
16	206
15	204
14	192
13	143
12	112
11	99
10	90
9	68
8	51
7	40
6	30
5	24
4	21
3	20
2	17
1	13
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1))
0.0b	(/ (+ x 1) (- x 1))
1.0b	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

rewrite99.0ms

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:

9.0ms	(/ x (+ x 1))
31.0ms	(/ (+ x 1) (- x 1))
56.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

series172.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ x (+ x 1))
35.0ms	(/ (+ x 1) (- x 1))
110.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

simplify2.1s

Counts

126 → 126

Iterations

Iter	Nodes
3	3151
2	989
1	383
0	180

prune902.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1))
0.0b	(* (+ x -1) (+ 1 (- (* x x) x)))
1.0b	(- (/ x (+ x 1)) (/ (+ (pow x 3) (pow 1 3)) (* (+ x -1) (+ 1 (- (* x x) x)))))
21.9b	(/ (+ (pow x 3) (pow 1 3)) (* (+ x -1) (+ 1 (- (* x x) x))))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

16.0ms	(/ x (+ x 1))
68.0ms	(* (+ x -1) (+ 1 (- (* x x) x)))
89.0ms	(- (/ x (+ x 1)) (/ (+ (pow x 3) (pow 1 3)) (* (+ x -1) (+ 1 (- (* x x) x)))))
91.0ms	(/ (+ (pow x 3) (pow 1 3)) (* (+ x -1) (+ 1 (- (* x x) x))))

series303.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ x (+ x 1))
47.0ms	(* (+ x -1) (+ 1 (- (* x x) x)))
169.0ms	(- (/ x (+ x 1)) (/ (+ (pow x 3) (pow 1 3)) (* (+ x -1) (+ 1 (- (* x x) x)))))
60.0ms	(/ (+ (pow x 3) (pow 1 3)) (* (+ x -1) (+ 1 (- (* x x) x))))

simplify1.7s

Counts

141 → 141

Iterations

Iter	Nodes
2	2685
1	687
0	237

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1 (+ (* 3 x) (* x x)))
0.0b	(+ (* 3 x) (* x x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`
1×	`associate-+r+` `distribute-rgt-out` `distribute-lft-out`

Counts

2 → 28

Calls

2 calls:

24.0ms	(+ 1 (+ (* 3 x) (* x x)))
19.0ms	(+ (* 3 x) (* x x))

series120.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ 1 (+ (* 3 x) (* x x)))
82.0ms	(+ (* 3 x) (* x x))

simplify1.2s

Counts

34 → 34

Iterations

Iter	Nodes
3	2347
2	629
1	187
0	55

prune184.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ -1 (* x x)) (/ 3 x))
0.1b	(/ (/ 3 x) (* x x))
0.3b	(/ -1 (* x x))
6.4b	(- (- (/ -1 (* x x)) (/ 3 x)) (/ (/ 3 x) (* x x)))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

41×	`times-frac`
37×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cbrt-cube` `add-exp-log`
20×	`add-cube-cbrt`
16×	`associate-/l*`
11×	`add-log-exp`
8×	`cbrt-undiv` `div-exp`
7×	`difference-of-squares`
5×	`frac-sub`
4×	`pow1` `diff-log` `insert-posit16` `div-inv` `distribute-lft-out--`
3×	`sub-neg` `flip3--` `prod-exp` `cbrt-unprod` `flip--`
2×	`clear-num` `associate-/r*` `frac-2neg` `associate--l+`
1×	`associate--l-` `associate-/l/`

Counts

4 → 113

Calls

4 calls:

37.0ms	(- (/ -1 (* x x)) (/ 3 x))
11.0ms	(/ (/ 3 x) (* x x))
9.0ms	(/ -1 (* x x))
216.0ms	(- (- (/ -1 (* x x)) (/ 3 x)) (/ (/ 3 x) (* x x)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (/ -1 (* x x)) (/ 3 x))
47.0ms	(/ (/ 3 x) (* x x))
39.0ms	(/ -1 (* x x))
31.0ms	(- (- (/ -1 (* x x)) (/ 3 x)) (/ (/ 3 x) (* x x)))

simplify19.7s

Counts

125 → 125

Iterations

Iter	Nodes
3	11891
2	1873
1	540
0	210

prune956.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.7b

bsearch189.0ms

Steps

Iters	Range		Point
10	1.4996160052323843e-06	45385424.466692075	12121.984188186829
10	-8.26555774309129e+15	-0.755072844465923	-13931.998939596693

simplify12.0ms

Iterations

Iter	Nodes
2	37
1	37
0	29

end0.0ms

sample2.1s

Algorithm

intervals

Results

878.0ms	1736×	body	1280	valid
446.0ms	1205×	body	640	valid
446.0ms	4172×	body	80	valid
150.0ms	595×	body	320	valid
79.0ms	292×	body	160	valid

Iter	Nodes
17	206
16	206
15	204
14	192
13	143
12	112
11	99
10	90
9	68
8	51
7	40
6	30
5	24
4	21
3	20
2	17
1	13
0	7

Iter	Nodes
17	206
16	206
15	204
14	192
13	143
12	112
11	99
10	90
9	68
8	51
7	40
6	30
5	24
4	21
3	20
2	17
1	13
0	7

Iter	Nodes
17	206
16	206
15	204
14	192
13	143
12	112
11	99
10	90
9	68
8	51
7	40
6	30
5	24
4	21
3	20
2	17
1	13
0	7