Details

sample59.0ms

Algorithm

intervals

Results

20.0ms	53×	body	320	valid
16.0ms	50×	body	640	valid
11.0ms	138×	body	80	valid
3.0ms	15×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
2	18
1	15
0	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))
2.7b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite97.0ms

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:

8.0ms	(/ 1 (- x 1))
8.0ms	(/ 1 (+ x 1))
59.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ 1 (- x 1))
22.0ms	(/ 1 (+ x 1))
92.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify1.3s

Counts

647 → 647

Iterations

Iter	Nodes
done	2000
2	2000
1	1290
0	553

prune1.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize40.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (- (* x x) (* 1 1)))
2.2b	(- (- x 1) (+ x 1))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
51×	`add-sqr-sqrt`
37×	`prod-diff`
29×	`add-cube-cbrt`
15×	`difference-of-squares`
14×	`add-log-exp`
12×	`times-frac`
11×	`associate--l+` `distribute-lft-out--`
9×	`distribute-lft-out`
7×	`fma-neg`
6×	`diff-log` `add-exp-log`
5×	`difference-of-sqr-1`
4×	`associate-/r*` `flip3--` `add-cbrt-cube` `frac-sub` `flip--`
3×	`pow1` `associate-/l*`
2×	`expm1-log1p-u` `sum-log` `sub-neg` `flip3-+` `div-exp` `associate-/r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`associate--l-` `cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `div-inv` `pow-flip` `associate--r+` `inv-pow`

Counts

2 → 115

Calls

2 calls:

24.0ms	(/ 1 (- (* x x) (* 1 1)))
54.0ms	(- (- x 1) (+ x 1))

series57.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ 1 (- (* x x) (* 1 1)))
9.0ms	(- (- x 1) (+ x 1))

simplify1.2s

Counts

121 → 121

Iterations

Iter	Nodes
done	2014
3	2014
2	1590
1	525
0	193

prune361.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1 (- (* x x) (* 1 1))) -2)
0.3b	(/ 1 (- (* x x) (* 1 1)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`times-frac`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`associate-l`
15×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`difference-of-squares`
5×	`pow1`
4×	`associate-/r*` `div-exp` `prod-exp` `associate-/r/`
3×	`associate-r` `associate-/l*` `unswap-sqr`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `flip3--` `1-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 83

Calls

2 calls:

37.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
22.0ms	(/ 1 (- (* x x) (* 1 1)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
41.0ms	(/ 1 (- (* x x) (* 1 1)))

simplify1.0s

Counts

89 → 89

Iterations

Iter	Nodes
done	2001
3	2001
2	930
1	362
0	143

prune755.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite127.0ms

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:

59.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
15.0ms	(/ 1 (+ x 1))
31.0ms	(/ (/ 1 (+ x 1)) (- x 1))

series150.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
19.0ms	(/ 1 (+ x 1))
64.0ms	(/ (/ 1 (+ x 1)) (- x 1))

simplify1.1s

Counts

382 → 382

Iterations

Iter	Nodes
done	2003
2	2003
1	1036
0	379

prune991.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes28.0ms

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	14
1	14
0	10

end0.0ms

sample1.9s

Algorithm

intervals

Results

816.0ms	1959×	body	640	valid
441.0ms	4165×	body	80	valid
390.0ms	1256×	body	320	valid
139.0ms	620×	body	160	valid