Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	73×	body	640	valid
4.0ms	123×	body	80	valid
4.0ms	41×	body	320	valid
2.0ms	19×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize11.0ms

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)))

rewrite176.0ms

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))
16.0ms	(/ 1.0 (- x 1.0))
113.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series361.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ 1.0 (+ x 1.0))
38.0ms	(/ 1.0 (- x 1.0))
295.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.1s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	1581
1	410
0	175

prune333.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) (- x 1.0))
0.0b	(/ (- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0)) (* (+ x 1.0) (- x 1.0)))
3.4b	(- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

12×	`flip3--` `associate-l/` `associate-r/` `flip--`
11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
8×	`frac-times` `associate-/r/` `frac-sub`
7×	`add-cube-cbrt`
6×	`associate-/l/`
5×	`pow1` `sub-neg` `associate-r` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `associate--l+`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`clear-num` `associate-/r` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

43.0ms	(* (+ x 1.0) (- x 1.0))
39.0ms	(/ (- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0)) (* (+ x 1.0) (- x 1.0)))
14.0ms	(- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0))

series203.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(* (+ x 1.0) (- x 1.0))
79.0ms	(/ (- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0)) (* (+ x 1.0) (- x 1.0)))
8.0ms	(- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0))

simplify2.2s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	3858
1	573
0	175

prune426.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt` `associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/r/`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `flip3--` `flip-+` `flip--`
5×	`associate-r`
4×	`pow1` `associate-l` `associate-l/` `associate-r/`
2×	`distribute-rgt-in` `cbrt-undiv` `neg-mul-1` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`neg-sub0` `clear-num` `associate-/r` `frac-2neg` `div-sub` `pow-prod-down` `distribute-frac-neg` `-commutative` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 78

Calls

2 calls:

37.0ms	(* (+ x 1.0) (- x 1.0))
15.0ms	(/ (- 2.0) (* (+ x 1.0) (- x 1.0)))

series227.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(* (+ x 1.0) (- x 1.0))
110.0ms	(/ (- 2.0) (* (+ x 1.0) (- x 1.0)))

simplify1.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
2	2502
1	423
0	154

prune378.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

510×	`times-frac`
449×	`*-un-lft-identity`
307×	`add-sqr-sqrt`
213×	`add-cube-cbrt`
87×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
71×	`distribute-lft-out`
56×	`associate-/l*`
47×	`distribute-lft-out--` `difference-of-squares`
29×	`neg-mul-1`
16×	`associate-/r/`
9×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
8×	`div-inv`
7×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `distribute-frac-neg`
2×	`neg-sub0` `pow1` `clear-num` `frac-2neg` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 370

Calls

2 calls:

25.0ms	(/ (- 2.0) (+ x 1.0))
53.0ms	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

series154.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- 2.0) (+ x 1.0))
108.0ms	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

simplify982.0ms

Counts

376 → 376

Iterations

Iter	Nodes
done	5000
1	1198
0	441

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	13
2	13
1	11
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

643.0ms	1239×	body	320	valid
368.0ms	1938×	body	640	valid
273.0ms	4207×	body	80	valid
53.0ms	616×	body	160	valid