Details

sample26.0ms

Algorithm

intervals

Results

5.0ms	50×	body	640	valid
4.0ms	136×	body	80	valid
4.0ms	47×	body	320	valid
1.0ms	23×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
3.7b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite152.0ms

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:

17.0ms	(/ 1.0 (+ x 1.0))
17.0ms	(/ 1.0 (- x 1.0))
110.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series318.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ 1.0 (+ x 1.0))
29.0ms	(/ 1.0 (- x 1.0))
263.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.4s

Counts

111 → 111

Iterations

Iter	Nodes
done	5004
3	4548
2	1148
1	410
0	175

prune492.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
3.1b	(- (- x 1.0) (+ x 1.0))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
14×	`add-log-exp`
13×	`add-sqr-sqrt`
12×	`times-frac`
11×	`add-cube-cbrt`
6×	`diff-log` `distribute-lft-out--`
5×	`difference-of-squares`
4×	`associate-/r*` `flip3--` `add-cbrt-cube` `add-exp-log` `frac-sub` `flip--`
3×	`associate-/l*`
2×	`pow1` `sum-log` `sub-neg` `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

2 → 61

Calls

2 calls:

11.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
64.0ms	(- (- x 1.0) (+ x 1.0))

series84.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
9.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.4s

Counts

67 → 67

Iterations

Iter	Nodes
done	5003
2	1696
1	409
0	151

prune317.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-/r*` `difference-of-squares`
3×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

10.0ms

(/ 1.0 (- (* x x) (* 1.0 1.0)))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify2.4s

Counts

36 → 36

Iterations

Iter	Nodes
done	5029
3	3580
2	693
1	208
0	88

prune227.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.1b	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
160×	`*-un-lft-identity`
116×	`add-sqr-sqrt`
78×	`add-cube-cbrt`
22×	`distribute-lft-out`
21×	`associate-/l*`
19×	`distribute-lft-out--` `difference-of-squares`
16×	`associate-/r/`
9×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
8×	`div-inv`
7×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 163

Calls

2 calls:

9.0ms	(/ 1.0 (+ x 1.0))
41.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series149.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ 1.0 (+ x 1.0))
105.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify1.6s

Counts

169 → 169

Iterations

Iter	Nodes
done	5000
2	1994
1	633
0	245

prune721.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	22
4	22
3	20
2	17
1	13
0	9

end0.0ms

sample1.5s

Algorithm

intervals

Results

798.0ms	1873×	body	640	valid
270.0ms	4177×	body	80	valid
153.0ms	1309×	body	320	valid
110.0ms	641×	body	160	valid