Details

sample32.0ms

Algorithm

intervals

Results

13.0ms	66×	body	640	valid
5.0ms	134×	body	80	valid
3.0ms	35×	body	320	valid
1.0ms	21×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	15	11
done	15	11

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
3.8b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

662×	`*-un-lft-identity`
589×	`times-frac`
496×	`add-sqr-sqrt`
378×	`prod-diff`
368×	`add-cube-cbrt`
86×	`associate-/r/`
79×	`distribute-lft-out--`
76×	`distribute-lft-out`
62×	`difference-of-squares`
44×	`div-inv`
24×	`flip-+`
23×	`flip3-+`
21×	`flip--`
20×	`flip3--`
18×	`fma-neg`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 504

Calls

3 calls:

12.0ms	(/ 1.0 (- x 1.0))
11.0ms	(/ 1.0 (+ x 1.0))
135.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series254.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1.0 (- x 1.0))
29.0ms	(/ 1.0 (+ x 1.0))
191.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.2s

Counts

513 → 513

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	525	24322
1	1252	21814
2	4307	17010
done	5000	17008

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) (- x 1.0))
0.0b	(/ (- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0)) (* (+ x 1.0) (- x 1.0)))
3.4b	(- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 133

Calls

3 calls:

48.0ms	(* (+ x 1.0) (- x 1.0))
73.0ms	(/ (- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0)) (* (+ x 1.0) (- x 1.0)))
23.0ms	(- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0))

series242.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(* (+ x 1.0) (- x 1.0))
105.0ms	(/ (- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0)) (* (+ x 1.0) (- x 1.0)))
10.0ms	(- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0))

simplify559.0ms

Counts

142 → 142

Iterations

Useful iterations: done (553.0ms)

Iter	Nodes	Cost
0	245	2952
1	849	2594
done	5000	2172

prune432.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (- x 1.0))
0.6b	(/ (- 2.0) (* (+ x 1.0) (- x 1.0)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac` `associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
6×	`distribute-lft-neg-in` `flip3--` `distribute-rgt-neg-in` `flip3-+` `flip--` `flip-+`
5×	`associate-r`
4×	`pow1` `associate-r/` `associate-l` `associate-l/`
2×	`cbrt-undiv` `expm1-log1p-u` `neg-mul-1` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`neg-sub0` `frac-2neg` `div-sub` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 100

Calls

2 calls:

56.0ms	(* (+ x 1.0) (- x 1.0))
20.0ms	(/ (- 2.0) (* (+ x 1.0) (- x 1.0)))

series199.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(* (+ x 1.0) (- x 1.0))
88.0ms	(/ (- 2.0) (* (+ x 1.0) (- x 1.0)))

simplify3.1s

Counts

106 → 106

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	206	1718
1	612	1519
2	3815	1339
done	5001	1337

prune304.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 2.0) (+ x 1.0))
0.1b	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

510×	`times-frac`
449×	`*-un-lft-identity`
307×	`add-sqr-sqrt`
213×	`add-cube-cbrt`
87×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
71×	`distribute-lft-out`
56×	`associate-/l*`
47×	`distribute-lft-out--` `difference-of-squares`
29×	`neg-mul-1`
16×	`associate-/r/`
9×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`div-inv`
7×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `distribute-frac-neg`
2×	`pow1` `neg-sub0` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 374

Calls

2 calls:

15.0ms	(/ (- 2.0) (+ x 1.0))
68.0ms	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

series126.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 2.0) (+ x 1.0))
93.0ms	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

simplify623.0ms

Counts

380 → 380

Iterations

Useful iterations: done (601.0ms)

Iter	Nodes	Cost
0	445	7389
1	1213	6866
done	5001	6767

prune819.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	11	10
2	13	10
done	13	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

593.0ms	4255×	body	80	valid
457.0ms	1886×	body	640	valid
242.0ms	1190×	body	320	valid
63.0ms	669×	body	160	valid