Details

sample38.0ms

Algorithm

intervals

Results

10.0ms	59×	body	640	valid
7.0ms	137×	body	80	valid
5.0ms	36×	body	320	valid
2.0ms	24×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	202
1	12	202
2	15	202
done	15	202

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
2.8b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite117.0ms

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:

16.0ms	(/ 1.0 (+ x 1.0))
12.0ms	(/ 1.0 (- x 1.0))
82.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series348.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ 1.0 (+ x 1.0))
46.0ms	(/ 1.0 (- x 1.0))
256.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify3.1s

Counts

111 → 111

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	175	31803
1	410	26800
2	1148	26074
3	4548	25994
done	5004	25994

prune429.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
1.9b	(- (- x 1.0) (+ x 1.0))

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` `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:

13.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
44.0ms	(- (- x 1.0) (+ x 1.0))

series77.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
12.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.3s

Counts

67 → 67

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	151	21568
1	409	17762
2	1696	17480
done	5003	17360

prune272.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 78

Calls

2 calls:

62.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
23.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series181.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
85.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify2.0s

Counts

84 → 84

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	158	28575
1	472	24773
2	1824	24246
done	5019	24166

prune396.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

327×	`times-frac`
289×	`*-un-lft-identity`
224×	`add-sqr-sqrt`
141×	`add-cube-cbrt`
96×	`associate-l`
37×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
28×	`associate-/r/`
21×	`associate-/l*`
19×	`add-cbrt-cube` `add-exp-log`
14×	`div-inv`
12×	`flip3-+` `flip-+`
10×	`associate-r`
9×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
5×	`pow1`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`neg-mul-1` `pow-prod-down` `associate-l/` `-commutative` `distribute-rgt-neg-out` `associate-/l/`

Counts

3 → 289

Calls

3 calls:

95.0ms	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
15.0ms	(/ 1.0 (+ x 1.0))
29.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series239.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
30.0ms	(/ 1.0 (+ x 1.0))
97.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify3.0s

Counts

298 → 298

Iterations

Useful iterations: 2 (1.5s)

Iter	Nodes	Cost
0	360	112836
1	1135	102265
2	4163	100573
done	5004	100573

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	243
1	13	243
2	17	243
3	20	243
4	22	243
done	22	243

end0.0ms

sample1.4s

Algorithm

intervals

Results

815.0ms	1887×	body	640	valid
186.0ms	4199×	body	80	valid
186.0ms	1284×	body	320	valid
101.0ms	630×	body	160	valid