Details

sample41.0ms

Algorithm

intervals

Results

8.0ms	54×	body	640	valid
6.0ms	153×	body	80	valid
3.0ms	16×	body	1280	valid
2.0ms	20×	body	320	valid
1.0ms	13×	body	160	valid

simplify423.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	198
9	198
8	170
7	103
6	83
5	72
4	60
3	41
2	31
1	18
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
0.0b	(/ 1.0 (- x 1.0))
1.2b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite1.1s

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` `insert-posit16` `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 → 622

Calls

4 calls:

18.0ms	(/ 1.0 (+ x 1.0))
157.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
17.0ms	(/ 1.0 (- x 1.0))
690.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series424.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ 1.0 (+ x 1.0))
69.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
33.0ms	(/ 1.0 (- x 1.0))
280.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify5.3s

Counts

634 → 634

Iterations

Iter	Nodes
done	5004
2	3112
1	1193
0	505

prune5.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 2.0 x) (/ 1.0 (- x 1.0)))
0.0b	(/ 1.0 (- x 1.0))
1.2b	(- (/ 1.0 (+ x 1.0)) (- (/ 2.0 x) (/ 1.0 (- x 1.0))))

rewrite938.0ms

Algorithm

rewrite-expression-head

Rules

1144×	`*-un-lft-identity`
1101×	`times-frac`
1061×	`add-sqr-sqrt`
726×	`prod-diff`
664×	`add-cube-cbrt`
275×	`associate--r+`
171×	`distribute-lft-out--`
160×	`difference-of-squares`
82×	`div-inv`
78×	`associate-/r/`
39×	`distribute-lft-out`
31×	`fma-neg`
30×	`flip3--` `flip--`
12×	`flip3-+` `flip-+`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
5×	`frac-sub`
4×	`expm1-log1p-u` `pow1` `diff-log` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`associate--r-`

Counts

4 → 886

Calls

4 calls:

22.0ms	(/ 1.0 (+ x 1.0))
125.0ms	(- (/ 2.0 x) (/ 1.0 (- x 1.0)))
16.0ms	(/ 1.0 (- x 1.0))
466.0ms	(- (/ 1.0 (+ x 1.0)) (- (/ 2.0 x) (/ 1.0 (- x 1.0))))

series528.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1.0 (+ x 1.0))
75.0ms	(- (/ 2.0 x) (/ 1.0 (- x 1.0)))
47.0ms	(/ 1.0 (- x 1.0))
373.0ms	(- (/ 1.0 (+ x 1.0)) (- (/ 2.0 x) (/ 1.0 (- x 1.0))))

simplify5.0s

Counts

898 → 898

Iterations

Iter	Nodes
done	5000
1	2380
0	941

prune8.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
0.0b	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
0.0b	(* (* (+ x 1.0) x) (- x 1.0))
14.6b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite438.0ms

Algorithm

rewrite-expression-head

Rules

90×	`associate-*l/`
54×	`prod-diff`
51×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
45×	`add-cube-cbrt`
36×	`flip3--` `flip--`
33×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-add`
28×	`frac-times`
24×	`flip3-+` `flip-+`
22×	`associate-+l+`
20×	`add-cbrt-cube` `add-exp-log`
18×	`associate-/l/`
14×	`associate-*r/`
11×	`pow1`
10×	`associate-r`
8×	`associate-/r/`
7×	`prod-exp` `cbrt-unprod`
6×	`sub-neg` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/l*`
2×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `clear-num` `associate-/r*` `sum-log` `fma-def` `frac-2neg` `div-inv` `unswap-sqr`

Counts

4 → 211

Calls

4 calls:

166.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
84.0ms	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
76.0ms	(* (* (+ x 1.0) x) (- x 1.0))
57.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series356.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
74.0ms	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
153.0ms	(* (* (+ x 1.0) x) (- x 1.0))
7.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify3.1s

Counts

223 → 223

Iterations

Iter	Nodes
done	5000
1	1287
0	382

prune2.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(* (* (+ x 1.0) x) (- x 1.0))
0.2b	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite190.0ms

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-*l/`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1`
8×	`frac-times` `associate-r` `associate-/r/`
7×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
6×	`flip3--` `flip--`
5×	`associate-l`
4×	`pow-prod-down` `associate-*r/`
3×	`expm1-log1p-u` `cbrt-undiv` `times-frac` `div-exp` `insert-posit16` `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 → 111

Calls

3 calls:

29.0ms	(* (+ x 1.0) x)
70.0ms	(* (* (+ x 1.0) x) (- x 1.0))
82.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series409.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(* (+ x 1.0) x)
149.0ms	(* (* (+ x 1.0) x) (- x 1.0))
160.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify3.7s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	1911
1	615
0	209

prune750.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

582.0ms	1888×	body	640	valid
246.0ms	4145×	body	80	valid
243.0ms	938×	body	320	valid
201.0ms	557×	body	1280	valid
51.0ms	475×	body	160	valid