Details

sample44.0ms

Algorithm

intervals

Results

15.0ms	70×	body	640	valid
8.0ms	131×	body	80	valid
5.0ms	34×	body	320	valid
2.0ms	21×	body	160	valid

simplify13.0ms

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: 15.4b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
3.3b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite180.0ms

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-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1` `flip--`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip-+`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 102

Calls

3 calls:

11.0ms	(/ 1.0 (- x 1.0))
15.0ms	(/ 1.0 (+ x 1.0))
150.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series316.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1.0 (- x 1.0))
31.0ms	(/ 1.0 (+ x 1.0))
252.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify902.0ms

Counts

111 → 111

Iterations

Useful iterations: 2 (333.0ms)

Iter	Nodes	Cost
0	175	1402
1	409	1325
2	1586	1259
done	5002	1259

prune236.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize22.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.7b	(- (- x 1.0) (+ x 1.0))

rewrite74.0ms

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×	`add-exp-log` `flip3--` `associate-/r*` `frac-sub` `add-cbrt-cube` `flip--`
3×	`associate-/l*`
2×	`pow1` `sub-neg` `flip3-+` `associate--l+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`
1×	`cbrt-undiv` `associate--l-` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate--r+`

Counts

2 → 61

Calls

2 calls:

13.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
59.0ms	(- (- x 1.0) (+ x 1.0))

series68.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.3s

Counts

67 → 67

Iterations

Useful iterations: 2 (484.0ms)

Iter	Nodes	Cost
0	151	1007
1	419	958
2	2335	890
done	5000	890

prune220.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.6b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-l`
10×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`difference-of-squares`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`neg-mul-1` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-rgt-neg-out`

Counts

2 → 78

Calls

2 calls:

51.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
32.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series138.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
63.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.7s

Counts

84 → 84

Iterations

Useful iterations: 2 (592.0ms)

Iter	Nodes	Cost
0	158	1309
1	480	1264
2	2678	1134
done	5001	1134

prune349.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1 (+ x 1.0))
0.1b	(* (/ 1 (+ x 1.0)) (* (/ 1.0 (- x 1.0)) (- 2.0)))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
48×	`add-exp-log`
39×	`times-frac`
38×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
28×	`add-cbrt-cube`
20×	`prod-exp`
18×	`associate-l`
13×	`div-exp`
10×	`cbrt-unprod`
9×	`pow1` `associate-/r*`
7×	`cbrt-undiv` `distribute-lft-out`
6×	`associate-/r/` `associate-/l*`
4×	`rec-exp` `1-exp` `distribute-lft-out--` `difference-of-squares`
3×	`pow-prod-down` `associate-*l/` `div-inv` `add-log-exp`
2×	`frac-2neg` `flip3-+` `clear-num` `distribute-rgt-neg-out` `flip-+`
1×	`frac-times` `flip3--` `pow-flip` `associate-r/` `associate-r` `-commutative` `flip--` `inv-pow`

Counts

3 → 125

Calls

3 calls:

22.0ms	(/ 1.0 (- x 1.0))
23.0ms	(/ 1 (+ x 1.0))
108.0ms	(* (/ 1 (+ x 1.0)) (* (/ 1.0 (- x 1.0)) (- 2.0)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1.0 (- x 1.0))
27.0ms	(/ 1 (+ x 1.0))
106.0ms	(* (/ 1 (+ x 1.0)) (* (/ 1.0 (- x 1.0)) (- 2.0)))

simplify2.8s

Counts

134 → 134

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	213	1850
1	596	1693
2	3749	1395
done	5001	1381

prune284.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 6 (11.0ms)

Iter	Nodes	Cost
0	14	25
1	21	25
2	29	25
3	35	25
4	37	25
5	39	25
6	42	24
done	42	24

end0.0ms

sample1.5s

Algorithm

intervals

Results

799.0ms	1918×	body	640	valid
229.0ms	4197×	body	80	valid
160.0ms	1263×	body	320	valid
89.0ms	622×	body	160	valid