Details

sample46.0ms

Algorithm

intervals

Results

18.0ms	68×	body	640	valid
10.0ms	139×	body	80	valid
7.0ms	36×	body	320	valid
2.0ms	13×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	16
2	16
1	13
0	7

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
2.1b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

825×	`*-un-lft-identity`
762×	`times-frac`
681×	`add-sqr-sqrt`
486×	`prod-diff`
441×	`add-cube-cbrt`
117×	`difference-of-squares`
96×	`associate-/r/`
94×	`distribute-lft-out`
77×	`distribute-lft-out--`
54×	`difference-of-sqr-1`
51×	`div-inv`
30×	`flip-+`
29×	`flip3-+`
20×	`flip--`
19×	`flip3--`
18×	`fma-neg`
6×	`add-exp-log`
4×	`associate-/r*` `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 → 586

Calls

2 calls:

15.0ms	(/ 1 (+ x 1))
70.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(/ 1 (+ x 1))
83.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify2.3s

Counts

592 → 592

Iterations

Iter	Nodes
2	2163
1	1214
0	533

prune6.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) (- x 1))
0.0b	(/ (- (- x 1) (+ x 1)) (* (+ x 1) (- x 1)))
1.7b	(- (- x 1) (+ x 1))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

107×	`*-un-lft-identity`
69×	`add-sqr-sqrt`
55×	`prod-diff`
37×	`add-cube-cbrt`
24×	`distribute-lft-out--`
15×	`add-log-exp` `difference-of-squares`
14×	`distribute-lft-out`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
10×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
8×	`frac-times` `times-frac` `associate-/r/` `frac-sub` `associate-/l*`
7×	`fma-neg` `associate-r`
6×	`diff-log` `difference-of-sqr-1` `associate-/l/`
5×	`pow1`
4×	`sub-neg` `associate-l` `associate-l/` `associate-r/`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `sum-log` `div-exp` `prod-exp` `cbrt-unprod`
1×	`associate--l-` `clear-num` `associate-/r` `frac-2neg` `div-sub` `pow-prod-down` `-commutative` `div-inv` `associate--r+` `unswap-sqr`

Counts

3 → 180

Calls

3 calls:

29.0ms	(* (+ x 1) (- x 1))
104.0ms	(/ (- (- x 1) (+ x 1)) (* (+ x 1) (- x 1)))
46.0ms	(- (- x 1) (+ x 1))

series198.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(* (+ x 1) (- x 1))
92.0ms	(/ (- (- x 1) (+ x 1)) (* (+ x 1) (- x 1)))
11.0ms	(- (- x 1) (+ x 1))

simplify1.5s

Counts

189 → 189

Iterations

Iter	Nodes
2	2710
1	812
0	262

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
18×	`prod-diff` `add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/r/`
7×	`associate-r`
6×	`flip3-+` `flip3--` `flip-+` `flip--`
4×	`pow1` `associate-l` `associate-l/` `associate-r/`
3×	`times-frac` `associate-/l*`
2×	`expm1-log1p-u` `cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
1×	`clear-num` `associate-/r` `frac-2neg` `difference-of-sqr-1` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 88

Calls

2 calls:

38.0ms	(* (+ x 1) (- x 1))
12.0ms	(/ -2 (* (+ x 1) (- x 1)))

series179.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(* (+ x 1) (- x 1))
65.0ms	(/ -2 (* (+ x 1) (- x 1)))

simplify3.7s

Counts

94 → 94

Iterations

Iter	Nodes
3	3487
2	1154
1	525
0	180

prune683.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
207×	`*-un-lft-identity`
170×	`add-sqr-sqrt`
94×	`add-cube-cbrt`
38×	`difference-of-squares`
28×	`distribute-lft-out`
21×	`associate-/l*`
20×	`associate-/r/`
19×	`difference-of-sqr-1` `distribute-lft-out--`
11×	`associate-/r*`
10×	`div-inv`
9×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 207

Calls

2 calls:

8.0ms	(/ -2 (+ x 1))
18.0ms	(/ (/ -2 (+ x 1)) (- x 1))

series69.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(/ -2 (+ x 1))
54.0ms	(/ (/ -2 (+ x 1)) (- x 1))

simplify21.1s

Counts

213 → 213

Iterations

Iter	Nodes
3	5133
2	1682
1	690
0	285

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes37.0ms

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	8
1	8
0	7

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	1996×	body	640	valid
415.0ms	1176×	body	320	valid
373.0ms	4240×	body	80	valid
132.0ms	588×	body	160	valid