Details

sample65.0ms

Algorithm

intervals

Results

27.0ms	72×	body	640	valid
12.0ms	126×	body	80	valid
11.0ms	38×	body	320	valid
4.0ms	20×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
2	18
1	15
0	7

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
69×	`times-frac`
32×	`add-cube-cbrt`
27×	`distribute-lft-out--`
17×	`difference-of-squares`
11×	`associate-/r*` `add-exp-log`
10×	`distribute-lft-out`
7×	`add-cbrt-cube`
6×	`associate-/r/` `div-inv` `associate-/l*`
5×	`pow1` `add-log-exp`
4×	`difference-of-sqr-1` `div-exp`
3×	`insert-posit16` `flip--`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip-+` `pow-flip` `inv-pow`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 128

Calls

3 calls:

14.0ms	(/ 1 (- x 1))
17.0ms	(/ 1 (+ x 1))
72.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ 1 (- x 1))
27.0ms	(/ 1 (+ x 1))
90.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify970.0ms

Counts

137 → 137

Iterations

Iter	Nodes
done	2001
3	2001
2	1080
1	401
0	185

prune855.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (- (* x x) (* 1 1)))
2.4b	(- (- x 1) (+ x 1))

rewrite60.0ms

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` `add-exp-log` `distribute-lft-out--`
5×	`difference-of-squares`
4×	`associate-/r*` `flip3--` `add-cbrt-cube` `frac-sub` `flip--`
3×	`pow1` `associate-/l*`
2×	`sum-log` `sub-neg` `flip3-+` `div-exp` `associate--l+` `associate-/r/` `flip-+` `insert-posit16` `distribute-lft-out`
1×	`associate--l-` `cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `div-inv` `pow-flip` `associate--r+` `inv-pow`

Counts

2 → 67

Calls

2 calls:

22.0ms	(/ 1 (- (* x x) (* 1 1)))
37.0ms	(- (- x 1) (+ x 1))

series49.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ 1 (- (* x x) (* 1 1)))
8.0ms	(- (- x 1) (+ x 1))

simplify1.0s

Counts

73 → 73

Iterations

Iter	Nodes
done	2003
3	2003
2	1556
1	392
0	144

prune499.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ 1 (- (* x x) (* 1 1)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-exp-log`
4×	`associate-/r*` `difference-of-squares`
3×	`add-cbrt-cube` `associate-/l*`
2×	`pow1` `div-exp` `associate-/r/`
1×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `insert-posit16` `div-inv` `pow-flip` `flip--` `inv-pow` `add-log-exp`

Counts

1 → 38

Calls

1 calls:

14.0ms

(/ 1 (- (* x x) (* 1 1)))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(/ 1 (- (* x x) (* 1 1)))

simplify968.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	2001
4	2001
3	1027
2	364
1	166
0	81

prune240.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.1b	(/ (/ 1 (+ x 1)) (- x 1))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
207×	`*-un-lft-identity`
170×	`add-sqr-sqrt`
94×	`add-cube-cbrt`
38×	`difference-of-squares`
28×	`distribute-lft-out`
21×	`associate-/l*`
20×	`associate-/r/`
19×	`difference-of-sqr-1` `distribute-lft-out--`
15×	`add-exp-log`
11×	`associate-/r*`
10×	`div-inv`
9×	`flip3-+` `add-cbrt-cube` `flip-+`
8×	`div-exp`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `add-log-exp`
1×	`flip3--` `pow-flip` `flip--` `inv-pow` `associate-/l/`

Counts

2 → 209

Calls

2 calls:

12.0ms	(/ 1 (+ x 1))
29.0ms	(/ (/ 1 (+ x 1)) (- x 1))

series72.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ 1 (+ x 1))
53.0ms	(/ (/ 1 (+ x 1)) (- x 1))

simplify1.2s

Counts

215 → 215

Iterations

Iter	Nodes
done	2021
3	2021
2	1565
1	648
0	260

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample2.0s

Algorithm

intervals

Results

732.0ms	1951×	body	640	valid
664.0ms	1227×	body	320	valid
345.0ms	4169×	body	80	valid
97.0ms	653×	body	160	valid