Details

sample73.0ms

Algorithm

intervals

Results

32.0ms	66×	body	640	valid
14.0ms	133×	body	80	valid
11.0ms	38×	body	320	valid
4.0ms	19×	body	160	valid

simplify12.0ms

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: 13.3b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))
2.7b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

200×	`*-un-lft-identity`
158×	`add-sqr-sqrt`
133×	`associate-/r*`
130×	`frac-sub`
78×	`add-cube-cbrt`
75×	`associate-/l*`
69×	`times-frac`
37×	`distribute-lft-out--` `difference-of-squares`
25×	`clear-num` `frac-2neg`
23×	`distribute-lft-out`
14×	`difference-of-sqr-1`
11×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/r/` `div-inv`
5×	`pow1` `add-log-exp`
4×	`div-exp`
3×	`insert-posit16` `flip--`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip-+` `pow-flip` `inv-pow`
1×	`sub-neg` `flip3-+` `diff-log`

Counts

3 → 257

Calls

3 calls:

11.0ms	(/ 1 (- x 1))
14.0ms	(/ 1 (+ x 1))
139.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series109.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ 1 (- x 1))
20.0ms	(/ 1 (+ x 1))
67.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify2.0s

Counts

266 → 266

Iterations

Iter	Nodes
done	5000
2	2772
1	1310
0	450

prune461.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize43.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (- (* x x) (* 1 1)))
1.9b	(- (- x 1) (+ x 1))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

388×	`add-sqr-sqrt`
290×	`*-un-lft-identity`
181×	`difference-of-squares`
177×	`times-frac`
120×	`unswap-sqr`
92×	`swap-sqr`
66×	`add-cube-cbrt`
64×	`*-commutative`
59×	`associate-/r*`
50×	`distribute-lft-out--`
24×	`associate-l`
14×	`add-log-exp`
6×	`diff-log` `add-exp-log`
4×	`flip3--` `add-cbrt-cube` `associate-r` `frac-sub` `flip--`
3×	`pow1` `associate-/l*`
2×	`sum-log` `sub-neg` `flip3-+` `div-exp` `associate--l+` `associate-/r/` `flip-+` `insert-posit16` `distribute-lft-out` `associate--r+`
1×	`associate--l-` `cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `frac-2neg` `1-exp` `div-inv` `pow-flip` `inv-pow`

Counts

2 → 288

Calls

2 calls:

84.0ms	(/ 1 (- (* x x) (* 1 1)))
73.0ms	(- (- x 1) (+ x 1))

series43.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ 1 (- (* x x) (* 1 1)))
9.0ms	(- (- x 1) (+ x 1))

simplify2.1s

Counts

294 → 294

Iterations

Iter	Nodes
done	5008
2	2539
1	634
0	295

prune566.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1 (- (* x x) (* 1 1))) -2)
0.3b	(/ 1 (- (* x x) (* 1 1)))

rewrite587.0ms

Algorithm

rewrite-expression-head

Rules

779×	`add-sqr-sqrt`
557×	`*-un-lft-identity`
360×	`difference-of-squares`
356×	`times-frac`
243×	`unswap-sqr`
231×	`associate-l`
184×	`swap-sqr`
132×	`add-cube-cbrt`
129×	`*-commutative`
118×	`associate-/r*`
88×	`distribute-lft-out--`
65×	`associate-*l/`
15×	`add-exp-log`
11×	`associate-r`
9×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `cbrt-unprod` `insert-posit16` `div-inv` `flip--` `add-log-exp`
1×	`pow-prod-down` `pow-flip` `inv-pow`

Counts

2 → 528

Calls

2 calls:

416.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
122.0ms	(/ 1 (- (* x x) (* 1 1)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
53.0ms	(/ 1 (- (* x x) (* 1 1)))

simplify2.8s

Counts

534 → 534

Iterations

Iter	Nodes
done	5000
3	4702
2	1569
1	796
0	367

prune954.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
211×	`*-un-lft-identity`
172×	`add-sqr-sqrt`
96×	`add-cube-cbrt`
38×	`difference-of-squares`
29×	`distribute-lft-out`
24×	`associate-/l*`
20×	`associate-/r/`
19×	`difference-of-sqr-1` `distribute-lft-out--`
15×	`associate-/r*`
10×	`div-inv` `associate-/l/`
9×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`clear-num` `frac-2neg`
2×	`pow1` `insert-posit16` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 212

Calls

2 calls:

10.0ms	(/ -2 (+ x 1))
35.0ms	(/ (/ -2 (+ x 1)) (- x 1))

series87.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ -2 (+ x 1))
61.0ms	(/ (/ -2 (+ x 1)) (- x 1))

simplify1.8s

Counts

218 → 218

Iterations

Iter	Nodes
done	5000
2	2065
1	714
0	287

prune531.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes37.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample2.2s

Algorithm

intervals

Results

790.0ms	1867×	body	640	valid
712.0ms	1187×	body	320	valid
419.0ms	4300×	body	80	valid
111.0ms	646×	body	160	valid