Details

sample24.0ms

Algorithm

intervals

Results

6.0ms	58×	body	640	valid
4.0ms	137×	body	80	valid
4.0ms	45×	body	320	valid
1.0ms	16×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
2.9b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite190.0ms

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-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 504

Calls

3 calls:

17.0ms	(/ 1.0 (- x 1.0))
13.0ms	(/ 1.0 (+ x 1.0))
113.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series289.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 1.0 (- x 1.0))
37.0ms	(/ 1.0 (+ x 1.0))
210.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.6s

Counts

513 → 513

Iterations

Iter	Nodes
done	5000
2	4314
1	1253
0	525

prune2.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.2b	(- (- x 1.0) (+ x 1.0))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
29×	`prod-diff`
27×	`add-cube-cbrt`
14×	`add-log-exp`
12×	`times-frac`
11×	`associate--l+` `distribute-lft-out--`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`diff-log`
5×	`fma-neg`
4×	`associate-/r*` `flip3--` `add-cbrt-cube` `add-exp-log` `frac-sub` `flip--`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `sum-log` `sub-neg` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate--r+`

Counts

2 → 99

Calls

2 calls:

10.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
67.0ms	(- (- x 1.0) (+ x 1.0))

series71.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.9s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	3298
1	551
0	196

prune415.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 82

Calls

2 calls:

45.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
14.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series180.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
95.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify2.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	2800
1	498
0	162

prune465.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite102.0ms

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×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
8×	`div-inv`
7×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `distribute-frac-neg`
2×	`neg-sub0` `expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 374

Calls

2 calls:

17.0ms	(/ (- 2.0) (+ 1.0 x))
40.0ms	(/ (/ (- 2.0) (+ 1.0 x)) (- x 1.0))

series124.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (- 2.0) (+ 1.0 x))
95.0ms	(/ (/ (- 2.0) (+ 1.0 x)) (- x 1.0))

simplify1.1s

Counts

380 → 380

Iterations

Iter	Nodes
done	5000
1	1169
0	448

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	22
4	22
3	19
2	15
1	13
0	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

394.0ms	1965×	body	640	valid
288.0ms	4203×	body	80	valid
143.0ms	1225×	body	320	valid
47.0ms	607×	body	160	valid