Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	142×	body	80	valid
7.0ms	54×	body	640	valid
3.0ms	35×	body	320	valid
2.0ms	25×	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: 13.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- x 1))
3.7b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

832×	`*-un-lft-identity`
771×	`times-frac`
700×	`add-sqr-sqrt`
486×	`prod-diff`
444×	`add-cube-cbrt`
125×	`difference-of-squares`
96×	`associate-/r/`
90×	`distribute-lft-out`
81×	`distribute-lft-out--`
58×	`difference-of-sqr-1`
51×	`div-inv`
29×	`flip-+`
28×	`flip3-+`
21×	`flip--`
20×	`flip3--`
18×	`fma-neg`
7×	`associate-/r*`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/l*`
2×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `diff-log` `1-exp` `frac-sub` `pow-flip` `inv-pow`

Counts

2 → 598

Calls

2 calls:

8.0ms	(/ 1 (- x 1))
53.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(/ 1 (- x 1))
66.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify1.9s

Counts

604 → 604

Iterations

Iter	Nodes
done	5000
2	2404
1	1242
0	535

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x (+ 1 (+ x 1))) (* (+ x 1) (- x 1)))
2.9b	(- x (+ 1 (+ x 1)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
18×	`distribute-lft-out`
15×	`prod-diff`
13×	`add-cube-cbrt`
11×	`add-log-exp`
9×	`distribute-lft-out--`
8×	`associate-/r/`
7×	`times-frac` `add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`flip3--` `flip--`
4×	`frac-times`
3×	`sum-log` `flip3-+` `fma-neg` `diff-log` `flip-+` `difference-of-squares`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `associate-/l/`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `div-sub` `prod-exp` `cbrt-unprod` `div-inv` `associate--r+`

Counts

2 → 83

Calls

2 calls:

142.0ms	(/ (- x (+ 1 (+ x 1))) (* (+ x 1) (- x 1)))
51.0ms	(- x (+ 1 (+ x 1)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ (- x (+ 1 (+ x 1))) (* (+ x 1) (- x 1)))
10.0ms	(- x (+ 1 (+ x 1)))

simplify1.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	1560
1	442
0	154

prune212.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ -2 (* (+ x 1) (- x 1)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/r/`
6×	`add-cbrt-cube` `add-exp-log`
4×	`frac-times`
3×	`add-sqr-sqrt` `-un-lft-identity` `flip3-+` `times-frac` `flip3--` `add-cube-cbrt` `flip-+` `flip--` `associate-/l`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/`
1×	`expm1-log1p-u` `pow1` `clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

11.0ms

(/ -2 (* (+ x 1) (- x 1)))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(/ -2 (* (+ x 1) (- x 1)))

simplify2.3s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
3	4313
2	837
1	233
0	94

prune121.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

222×	`times-frac`
189×	`*-un-lft-identity`
160×	`add-sqr-sqrt`
84×	`add-cube-cbrt`
38×	`difference-of-squares`
24×	`distribute-lft-out`
19×	`difference-of-sqr-1` `distribute-lft-out--`
18×	`associate-/r/` `associate-/l*`
9×	`div-inv`
8×	`flip3-+` `flip-+`
7×	`associate-/r*`
6×	`add-cbrt-cube` `add-exp-log`
3×	`cbrt-undiv` `div-exp`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`

Counts

1 → 171

Calls

1 calls:

26.0ms

(/ (/ -2 (+ x 1)) (- x 1))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(/ (/ -2 (+ x 1)) (- x 1))

simplify1.6s

Counts

174 → 174

Iterations

Iter	Nodes
done	5001
2	1874
1	670
0	266

prune414.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes25.0ms

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
done	10
1	10
0	7

end0.0ms

sample916.0ms

Algorithm

intervals

Results

407.0ms	1981×	body	640	valid
229.0ms	4151×	body	80	valid
134.0ms	1234×	body	320	valid
47.0ms	634×	body	160	valid