Details

sample23.0ms

Algorithm

intervals

Results

7.0ms	65×	body	640	valid
4.0ms	135×	body	80	valid
3.0ms	39×	body	320	valid
1.0ms	17×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	15	11
done	15	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
2.7b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite194.0ms

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:

19.0ms	(/ 1.0 (+ x 1.0))
17.0ms	(/ 1.0 (- x 1.0))
149.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series341.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ 1.0 (+ x 1.0))
45.0ms	(/ 1.0 (- x 1.0))
250.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify780.0ms

Counts

111 → 111

Iterations

Useful iterations: 2 (264.0ms)

Iter	Nodes	Cost
0	175	1402
1	410	1325
2	1581	1259
done	5000	1259

prune368.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.4b	(- (- x 1.0) (+ x 1.0))

rewrite94.0ms

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:

19.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
72.0ms	(- (- x 1.0) (+ x 1.0))

series78.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
12.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.1s

Counts

67 → 67

Iterations

Useful iterations: 2 (449.0ms)

Iter	Nodes	Cost
0	151	1007
1	419	958
2	2326	890
done	5001	890

prune286.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite23.0ms

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:

21.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify608.0ms

Counts

36 → 36

Iterations

Useful iterations: done (606.0ms)

Iter	Nodes	Cost
0	88	565
1	216	546
2	1066	498
done	5000	494

prune178.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite52.0ms

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:

13.0ms	(/ 1.0 (+ x 1.0))
23.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series103.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ 1.0 (+ x 1.0))
70.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify1.3s

Counts

169 → 169

Iterations

Useful iterations: 2 (524.0ms)

Iter	Nodes	Cost
0	245	2976
1	659	2778
2	3060	2688
done	5001	2688

prune609.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	12	12
2	16	12
3	19	12
done	19	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

367.0ms	1887×	body	640	valid
271.0ms	4270×	body	80	valid
225.0ms	1242×	body	320	valid
47.0ms	601×	body	160	valid