Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	58×	body	640	valid
5.0ms	126×	body	80	valid
4.0ms	39×	body	320	valid
3.0ms	18×	body	1280	valid
1.0ms	15×	body	160	valid

simplify4.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	4810
9	1188
8	437
7	210
6	162
5	135
4	89
3	41
2	31
1	18
0	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.8b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite672.0ms

Algorithm

rewrite-expression-head

Rules

725×	`*-un-lft-identity`
703×	`times-frac`
524×	`add-sqr-sqrt`
492×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
95×	`distribute-lft-out`
65×	`div-inv`
58×	`associate-/r/`
29×	`flip3-+` `flip-+`
18×	`fma-neg`
17×	`distribute-lft-out--`
12×	`difference-of-squares`
11×	`add-log-exp`
10×	`fma-def`
9×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-exp` `frac-sub`
1×	`+-commutative` `associate-+l-`

Counts

4 → 618

Calls

4 calls:

8.0ms	(/ 1.0 (+ x 1.0))
13.0ms	(/ 1.0 (- x 1.0))
114.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
469.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series404.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1.0 (+ x 1.0))
31.0ms	(/ 1.0 (- x 1.0))
55.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
289.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify2.4s

Counts

630 → 630

Iterations

Iter	Nodes
done	5000
2	4188
1	1192
0	501

prune3.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fma (* (+ x 1.0) x) 1.0 (* (fma (+ x 1.0) (- 2.0) (* 1.0 x)) (- x 1.0))) (* (* x (+ x 1.0)) (- x 1.0)))
0.0b	(fma (+ x 1.0) (- 2.0) (* 1.0 x))
0.0b	(* (* x (+ x 1.0)) (- x 1.0))
18.5b	(fma (* (+ x 1.0) x) 1.0 (* (fma (+ x 1.0) (- 2.0) (* 1.0 x)) (- x 1.0)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`add-cbrt-cube` `prod-diff` `add-exp-log`
16×	`associate-*r/`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`frac-times` `associate-/r/`
6×	`flip3-+` `flip3--` `prod-exp` `cbrt-unprod` `flip-+` `flip--`
5×	`associate-r`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `pow-prod-down` `associate-/l*`
2×	`sub-neg` `fma-udef`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

60.0ms	(/ (fma (* (+ x 1.0) x) 1.0 (* (fma (+ x 1.0) (- 2.0) (* 1.0 x)) (- x 1.0))) (* (* x (+ x 1.0)) (- x 1.0)))
1.0ms	(fma (+ x 1.0) (- 2.0) (* 1.0 x))
56.0ms	(* (* x (+ x 1.0)) (- x 1.0))
0.0ms	(fma (* (+ x 1.0) x) 1.0 (* (fma (+ x 1.0) (- 2.0) (* 1.0 x)) (- x 1.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

519.0ms	(/ (fma (* (+ x 1.0) x) 1.0 (* (fma (+ x 1.0) (- 2.0) (* 1.0 x)) (- x 1.0))) (* (* x (+ x 1.0)) (- x 1.0)))
150.0ms	(fma (+ x 1.0) (- 2.0) (* 1.0 x))
166.0ms	(* (* x (+ x 1.0)) (- x 1.0))
343.0ms	(fma (* (+ x 1.0) x) 1.0 (* (fma (+ x 1.0) (- 2.0) (* 1.0 x)) (- x 1.0)))

simplify2.4s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	4507
1	623
0	210

prune582.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
18×	`prod-diff` `associate-*r/`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1`
9×	`associate-r`
8×	`frac-times` `associate-/r/`
7×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
6×	`flip3--` `flip--`
4×	`associate-l` `pow-prod-down` `associate-*l/`
3×	`expm1-log1p-u` `cbrt-undiv` `times-frac` `div-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`sub-neg` `*-commutative`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 110

Calls

3 calls:

15.0ms	(* x (+ x 1.0))
57.0ms	(* (* x (+ x 1.0)) (- x 1.0))
27.0ms	(/ 2.0 (* (* x (+ x 1.0)) (- x 1.0)))

series390.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* x (+ x 1.0))
159.0ms	(* (* x (+ x 1.0)) (- x 1.0))
142.0ms	(/ 2.0 (* (* x (+ x 1.0)) (- x 1.0)))

simplify2.8s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	4985
1	655
0	207

prune434.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `*-un-lft-identity`
31×	`times-frac`
30×	`add-cube-cbrt`
26×	`add-exp-log`
18×	`prod-diff`
16×	`add-cbrt-cube`
13×	`associate-/l*`
12×	`div-exp`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`frac-times` `associate-/r/`
6×	`cbrt-undiv` `flip3-+` `flip3--` `flip-+` `flip--`
5×	`associate-r` `prod-exp`
4×	`pow1` `associate-l` `associate-l/` `associate-r/`
3×	`cbrt-unprod` `div-inv`
2×	`expm1-log1p-u` `rec-exp` `sub-neg` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `-commutative` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr` `associate-/l/`

Counts

2 → 113

Calls

2 calls:

48.0ms	(* (+ x 1.0) (- x 1.0))
18.0ms	(/ (/ 1 x) (* (+ x 1.0) (- x 1.0)))

series240.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(* (+ x 1.0) (- x 1.0))
124.0ms	(/ (/ 1 x) (* (+ x 1.0) (- x 1.0)))

simplify2.4s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	4343
1	728
0	240

prune398.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

509.0ms	1834×	body	640	valid
242.0ms	959×	body	320	valid
236.0ms	4158×	body	80	valid
151.0ms	610×	body	1280	valid
89.0ms	442×	body	160	valid