Details

sample74.0ms

Algorithm

intervals

Results

25.0ms	60×	body	640	valid
14.0ms	128×	body	80	valid
13.0ms	37×	body	320	valid
10.0ms	21×	body	1280	valid
2.0ms	10×	body	160	valid

simplify168.0ms

Counts

1 → 1

Iterations

Iter	Nodes
11	195
10	195
9	187
8	132
7	94
6	83
5	75
4	63
3	43
2	33
1	19
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
2.3b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
56×	`times-frac`
25×	`add-cube-cbrt`
18×	`distribute-lft-out--`
17×	`distribute-lft-out`
14×	`difference-of-squares`
12×	`add-exp-log`
11×	`associate-/r*` `add-log-exp`
8×	`add-cbrt-cube` `div-inv`
6×	`pow1` `associate-/l*`
4×	`difference-of-sqr-1` `div-exp` `associate-/r/` `insert-posit16`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `rec-exp` `associate-+l+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `1-exp` `frac-sub` `flip-+` `pow-flip` `inv-pow`
1×	`+-commutative` `associate-+l-`

Counts

4 → 141

Calls

4 calls:

16.0ms	(/ 1 (- x 1))
16.0ms	(/ 1 (+ x 1))
60.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
193.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series206.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ 1 (- x 1))
19.0ms	(/ 1 (+ x 1))
45.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
127.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify12.9s

Counts

153 → 153

Iterations

Iter	Nodes
3	3950
2	1356
1	492
0	219

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
0.1b	(* (* (+ x 1) x) (- x 1))
17.5b	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

13.0ms	(* (+ x 1) x)
97.0ms	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
45.0ms	(* (* (+ x 1) x) (- x 1))
37.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

series285.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (+ x 1) x)
104.0ms	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
122.0ms	(* (* (+ x 1) x) (- x 1))
2.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

simplify2.9s

Counts

151 → 151

Iterations

Iter	Nodes
2	4896
1	1044
0	286

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.1b	(* (* (+ x 1) x) (- x 1))
0.5b	(/ 2 (* (* (+ x 1) x) (- x 1)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

24.0ms	(* (+ x 1) x)
61.0ms	(* (* (+ x 1) x) (- x 1))
53.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

series254.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* (+ x 1) x)
117.0ms	(* (* (+ x 1) x) (- x 1))
61.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

simplify6.8s

Counts

98 → 98

Iterations

Iter	Nodes
3	7569
2	1525
1	448
0	156

prune808.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2 (/ (/ 1 x) (- (* x x) 1)))
0.1b	(/ (/ 1 x) (- (* x x) 1))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

278×	`times-frac`
161×	`add-sqr-sqrt`
150×	`*-un-lft-identity`
122×	`add-cube-cbrt`
84×	`associate-r`
54×	`difference-of-squares`
27×	`difference-of-sqr-1`
26×	`add-exp-log`
16×	`add-cbrt-cube`
15×	`div-inv`
13×	`associate-/l*`
12×	`div-exp`
6×	`cbrt-undiv` `associate-/r*`
5×	`prod-exp`
4×	`pow1` `associate-/r/` `unswap-sqr`
3×	`associate-l` `cbrt-unprod`
2×	`rec-exp` `flip3--` `1-exp` `insert-posit16` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

2 → 227

Calls

2 calls:

82.0ms	(* 2 (/ (/ 1 x) (- (* x x) 1)))
29.0ms	(/ (/ 1 x) (- (* x x) 1))

series124.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(* 2 (/ (/ 1 x) (- (* x x) 1)))
45.0ms	(/ (/ 1 x) (- (* x x) 1))

simplify5.5s

Counts

233 → 233

Iterations

Iter	Nodes
2	2037
1	869
0	322

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	9
1	9
0	8

end0.0ms

sample2.9s

Algorithm

intervals

Results

952.0ms	1890×	body	640	valid
830.0ms	912×	body	320	valid
560.0ms	4183×	body	80	valid
320.0ms	561×	body	1280	valid
95.0ms	455×	body	160	valid