Details

sample63.0ms

Algorithm

intervals

Results

28.0ms	64×	body	640	valid
11.0ms	127×	body	80	valid
10.0ms	41×	body	320	valid
4.0ms	24×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	18
2	18
1	15
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))
3.4b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite167.0ms

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` `insert-posit16` `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 → 638

Calls

3 calls:

17.0ms	(/ 1 (- x 1))
20.0ms	(/ 1 (+ x 1))
95.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series142.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ 1 (- x 1))
24.0ms	(/ 1 (+ x 1))
93.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify1.1s

Counts

647 → 647

Iterations

Iter	Nodes
2	2256
1	1264
0	553

prune6.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1 1))
0.6b	(/ 1 (- (* x x) (* 1 1)))
2.4b	(- (- x 1) (+ x 1))

rewrite77.0ms

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` `insert-posit16` `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 → 133

Calls

3 calls:

8.0ms	(- (* x x) (* 1 1))
17.0ms	(/ 1 (- (* x x) (* 1 1)))
50.0ms	(- (- x 1) (+ x 1))

series115.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (* x x) (* 1 1))
46.0ms	(/ 1 (- (* x x) (* 1 1)))
7.0ms	(- (- x 1) (+ x 1))

simplify2.9s

Counts

142 → 142

Iterations

Iter	Nodes
3	4844
2	1379
1	516
0	207

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.1b	(/ (/ 1 (+ x 1)) (- x 1))
2.4b	(- (- x 1) (+ x 1))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

267×	`*-un-lft-identity`
234×	`times-frac`
211×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
49×	`difference-of-squares`
37×	`prod-diff` `distribute-lft-out`
30×	`distribute-lft-out--`
24×	`difference-of-sqr-1`
21×	`associate-/l*`
20×	`associate-/r/`
16×	`add-exp-log`
15×	`add-log-exp`
11×	`associate-/r*` `flip3-+` `associate--l+` `flip-+`
10×	`add-cbrt-cube` `div-inv`
8×	`div-exp`
7×	`fma-neg`
6×	`diff-log`
4×	`pow1` `cbrt-undiv` `flip3--` `frac-sub` `flip--`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`rec-exp` `clear-num` `sum-log` `sub-neg` `frac-2neg` `1-exp`
1×	`associate--l-` `pow-flip` `associate--r+` `inv-pow` `associate-/l/`

Counts

3 → 288

Calls

3 calls:

16.0ms	(/ 1 (+ x 1))
24.0ms	(/ (/ 1 (+ x 1)) (- x 1))
60.0ms	(- (- x 1) (+ x 1))

series97.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ 1 (+ x 1))
62.0ms	(/ (/ 1 (+ x 1)) (- x 1))
11.0ms	(- (- x 1) (+ x 1))

simplify947.0ms

Counts

297 → 297

Iterations

Iter	Nodes
2	2277
1	895
0	352

prune2.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite133.0ms

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` `insert-posit16` `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 → 373

Calls

3 calls:

67.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
18.0ms	(/ 1 (+ x 1))
29.0ms	(/ (/ 1 (+ x 1)) (- x 1))

series180.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
23.0ms	(/ 1 (+ x 1))
75.0ms	(/ (/ 1 (+ x 1)) (- x 1))

simplify1.5s

Counts

382 → 382

Iterations

Iter	Nodes
2	2199
1	1009
0	379

prune2.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	12
1	12
0	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

705.0ms	1913×	body	640	valid
367.0ms	4217×	body	80	valid
277.0ms	1220×	body	320	valid
95.0ms	650×	body	160	valid