Details

sample54.0ms

Algorithm

intervals

Results

16.0ms	57×	body	640	valid
14.0ms	136×	body	80	valid
10.0ms	46×	body	320	valid
3.0ms	17×	body	160	valid

simplify6.0ms

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: 15.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(/ 1 (- x 1))
3.2b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite106.0ms

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)))

series121.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ 1 (+ x 1))
20.0ms	(/ 1 (- x 1))
74.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify2.7s

Counts

647 → 647

Iterations

Iter	Nodes
done	5000
2	4907
1	1322
0	553

prune2.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.9b	(/ 1 (- (* x x) (* 1 1)))
2.4b	(- x (+ 2 x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 75

Calls

2 calls:

24.0ms	(/ 1 (- (* x x) (* 1 1)))
12.0ms	(- x (+ 2 x))

series50.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ 1 (- (* x x) (* 1 1)))
9.0ms	(- x (+ 2 x))

simplify1.5s

Counts

81 → 81

Iterations

Iter	Nodes
done	5002
2	1576
1	328
0	141

prune241.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1 (- (* x x) (* 1 1))) -2)
0.9b	(/ 1 (- (* x x) (* 1 1)))

rewrite63.0ms

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:

48.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
13.0ms	(/ 1 (- (* x x) (* 1 1)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
56.0ms	(/ 1 (- (* x x) (* 1 1)))

simplify1.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
2	1562
1	385
0	143

prune333.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite143.0ms

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:

17.0ms	(/ 1 (+ x 1))
66.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
43.0ms	(/ (/ 1 (+ x 1)) (- x 1))

series505.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(/ 1 (+ x 1))
57.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
433.0ms	(/ (/ 1 (+ x 1)) (- x 1))

simplify936.0ms

Counts

382 → 382

Iterations

Iter	Nodes
done	5001
1	1090
0	379

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes36.0ms

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	10
1	10
0	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

755.0ms	1985×	body	640	valid
409.0ms	4155×	body	80	valid
360.0ms	1256×	body	320	valid
160.0ms	604×	body	160	valid