Details

sample51.0ms

Algorithm

intervals

Results

19.0ms	61×	body	640	valid
10.0ms	43×	body	320	valid
10.0ms	129×	body	80	valid
4.0ms	23×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	16
2	16
1	13
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))
2.4b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

850×	`*-un-lft-identity`
783×	`times-frac`
710×	`add-sqr-sqrt`
486×	`prod-diff`
454×	`add-cube-cbrt`
125×	`difference-of-squares`
98×	`associate-/r/`
94×	`distribute-lft-out`
81×	`distribute-lft-out--`
58×	`difference-of-sqr-1`
52×	`div-inv`
30×	`flip-+`
29×	`flip3-+`
21×	`flip--`
20×	`flip3--`
18×	`fma-neg`
11×	`associate-/r*` `add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`pow1` `add-log-exp`
4×	`div-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `pow-flip` `inv-pow`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 635

Calls

3 calls:

8.0ms	(/ 1 (- x 1))
10.0ms	(/ 1 (+ x 1))
44.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series114.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ 1 (- x 1))
20.0ms	(/ 1 (+ x 1))
69.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify3.1s

Counts

644 → 644

Iterations

Iter	Nodes
2	2250
1	1260
0	550

prune6.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1 1))
0.7b	(/ 1 (- (* x x) (* 1 1)))
1.9b	(- (- x 1) (+ x 1))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
38×	`prod-diff`
30×	`add-cube-cbrt`
17×	`add-log-exp`
16×	`difference-of-squares`
12×	`times-frac`
11×	`associate--l+` `distribute-lft-out--`
9×	`distribute-lft-out`
8×	`fma-neg`
7×	`diff-log` `add-exp-log`
5×	`flip3--` `add-cbrt-cube` `difference-of-sqr-1` `flip--`
4×	`pow1` `associate-/r*` `frac-sub`
3×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `associate-/l*`
2×	`sum-log` `flip3-+` `div-exp` `associate-/r/` `flip-+`
1×	`associate--l-` `cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `div-inv` `pow-flip` `associate--r+` `inv-pow`

Counts

3 → 130

Calls

3 calls:

9.0ms	(- (* x x) (* 1 1))
12.0ms	(/ 1 (- (* x x) (* 1 1)))
32.0ms	(- (- x 1) (+ x 1))

series116.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(- (* x x) (* 1 1))
33.0ms	(/ 1 (- (* x x) (* 1 1)))
7.0ms	(- (- x 1) (+ x 1))

simplify23.9s

Counts

139 → 139

Iterations

Iter	Nodes
3	4808
2	1412
1	512
0	204

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1 1))
0.0b	(* (/ 1 (- (* x x) (* 1 1))) -2)
0.7b	(/ 1 (- (* x x) (* 1 1)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`times-frac`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`associate-l`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`difference-of-squares`
6×	`pow1`
5×	`add-log-exp`
4×	`associate-/r*` `div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-r` `log1p-expm1-u` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 98

Calls

3 calls:

18.0ms	(- (* x x) (* 1 1))
51.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
24.0ms	(/ 1 (- (* x x) (* 1 1)))

series151.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- (* x x) (* 1 1))
37.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
54.0ms	(/ 1 (- (* x x) (* 1 1)))

simplify6.9s

Counts

107 → 107

Iterations

Iter	Nodes
4	4545
3	1838
2	818
1	366
0	151

prune700.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
0.1b	(/ (/ 1 (+ x 1)) (- x 1))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

449×	`times-frac`
381×	`*-un-lft-identity`
331×	`add-sqr-sqrt`
171×	`add-cube-cbrt`
132×	`associate-l`
74×	`difference-of-squares`
49×	`distribute-lft-out`
37×	`difference-of-sqr-1` `distribute-lft-out--`
36×	`associate-/r/`
31×	`add-exp-log`
21×	`associate-/l*`
19×	`add-cbrt-cube`
18×	`div-inv`
16×	`flip3-+` `flip-+`
14×	`div-exp`
11×	`associate-/r*`
7×	`cbrt-undiv`
6×	`pow1`
5×	`prod-exp`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-r` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

3 → 370

Calls

3 calls:

10.0ms	(/ 1 (+ x 1))
49.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
26.0ms	(/ (/ 1 (+ x 1)) (- x 1))

series141.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ 1 (+ x 1))
68.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
53.0ms	(/ (/ 1 (+ x 1)) (- x 1))

simplify4.0s

Counts

379 → 379

Iterations

Iter	Nodes
2	2206
1	1005
0	376

prune2.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes53.0ms

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
2	8
1	8
0	7

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.0s	1908×	body	640	valid
422.0ms	4150×	body	80	valid
278.0ms	1292×	body	320	valid
143.0ms	650×	body	160	valid