Details

sample70.0ms

Algorithm

intervals

Results

30.0ms	51×	body	640	valid
14.0ms	137×	body	80	valid
12.0ms	49×	body	320	valid
3.0ms	19×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
2	18
1	15
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite113.0ms

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:

9.0ms	(/ 1 (- x 1))
11.0ms	(/ 1 (+ x 1))
75.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series112.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(/ 1 (- x 1))
19.0ms	(/ 1 (+ x 1))
77.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify1.0s

Counts

647 → 647

Iterations

Iter	Nodes
done	2000
1	1290
0	553

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (- x 1) (+ 1 x)) (* (- x 1) (+ 1 x)))
0.0b	(* (- x 1) (+ 1 x))
1.2b	(- (- x 1) (+ 1 x))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 160

Calls

3 calls:

136.0ms	(/ (- (- x 1) (+ 1 x)) (* (- x 1) (+ 1 x)))
48.0ms	(* (- x 1) (+ 1 x))
75.0ms	(- (- x 1) (+ 1 x))

series159.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ (- (- x 1) (+ 1 x)) (* (- x 1) (+ 1 x)))
74.0ms	(* (- x 1) (+ 1 x))
11.0ms	(- (- x 1) (+ 1 x))

simplify748.0ms

Counts

169 → 169

Iterations

Iter	Nodes
done	2006
1	756
0	228

prune541.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x 1) (+ 1 x))
0.5b	(/ -2 (* (- x 1) (+ 1 x)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

38.0ms	(* (- x 1) (+ 1 x))
13.0ms	(/ -2 (* (- x 1) (+ 1 x)))

series153.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* (- x 1) (+ 1 x))
71.0ms	(/ -2 (* (- x 1) (+ 1 x)))

simplify859.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	2000
2	1482
1	414
0	135

prune237.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
210×	`*-un-lft-identity`
173×	`add-sqr-sqrt`
97×	`add-cube-cbrt`
38×	`difference-of-squares`
30×	`associate-/l*`
28×	`distribute-lft-out`
19×	`difference-of-sqr-1` `distribute-lft-out--`
14×	`associate-/r/`
11×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv`
6×	`flip3--` `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:

9.0ms	(/ -2 (- x 1))
21.0ms	(/ (/ -2 (- x 1)) (+ 1 x))

series71.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ -2 (- x 1))
51.0ms	(/ (/ -2 (- x 1)) (+ 1 x))

simplify984.0ms

Counts

213 → 213

Iterations

Iter	Nodes
done	2000
2	1847
1	715
0	285

prune535.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes40.0ms

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

sample1.7s

Algorithm

intervals

Results

790.0ms	1953×	body	640	valid
375.0ms	4197×	body	80	valid
356.0ms	1255×	body	320	valid
92.0ms	595×	body	160	valid