Details

sample43.0ms

Algorithm

intervals

Results

15.0ms	61×	body	640	valid
9.0ms	132×	body	80	valid
5.0ms	29×	body	320	valid
4.0ms	13×	body	1280	valid
3.0ms	21×	body	160	valid

simplify254.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	475
9	475
8	357
7	164
6	102
5	81
4	65
3	45
2	35
1	21
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
2.8b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

718×	`*-un-lft-identity`
694×	`times-frac`
515×	`add-sqr-sqrt`
481×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
99×	`distribute-lft-out`
71×	`div-inv`
56×	`associate-/r/`
29×	`flip3-+` `flip-+`
18×	`fma-neg` `distribute-lft-out--`
13×	`fma-def`
12×	`difference-of-squares`
10×	`add-log-exp`
7×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1` `associate-/r*`
3×	`expm1-log1p-u` `frac-add` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`sum-log` `sub-neg` `flip3--` `diff-log` `div-exp` `frac-sub` `flip--`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-+l-` `pow-flip` `inv-pow`

Counts

3 → 596

Calls

3 calls:

12.0ms	(/ 1 (+ x 1))
49.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
152.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ 1 (+ x 1))
44.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
126.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify1.2s

Counts

605 → 605

Iterations

Iter	Nodes
done	2004
2	2004
1	1045
0	440

prune6.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
2.8b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

718×	`*-un-lft-identity`
694×	`times-frac`
515×	`add-sqr-sqrt`
481×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
99×	`distribute-lft-out`
71×	`div-inv`
56×	`associate-/r/`
29×	`flip3-+` `flip-+`
18×	`fma-neg` `distribute-lft-out--`
13×	`fma-def`
12×	`difference-of-squares`
10×	`add-log-exp`
7×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1` `associate-/r*`
3×	`expm1-log1p-u` `frac-add` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`sum-log` `sub-neg` `flip3--` `diff-log` `div-exp` `frac-sub` `flip--`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-+l-` `pow-flip` `inv-pow`

Counts

3 → 596

Calls

3 calls:

15.0ms	(/ 1 (+ x 1))
44.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
205.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ 1 (+ x 1))
36.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
107.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify1.3s

Counts

605 → 605

Iterations

Iter	Nodes
done	2004
2	2004
1	1045
0	440

prune6.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma x (* x x) (/ 1 x)) x)
0.0b	(fma x (* x x) (/ 1 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

9.0ms	(+ (fma x (* x x) (/ 1 x)) x)
1.0ms	(fma x (* x x) (/ 1 x))

series184.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(+ (fma x (* x x) (/ 1 x)) x)
122.0ms	(fma x (* x x) (/ 1 x))

simplify1.0s

Counts

36 → 36

Iterations

Iter	Nodes
done	2000
4	2000
3	1273
2	304
1	91
0	41

prune242.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) x)
0.1b	(/ 2 (pow x 5))
0.2b	(/ 2 (* (* x x) x))
0.2b	(/ 2 (pow x 7))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
40×	`add-sqr-sqrt`
39×	`*-un-lft-identity` `add-cube-cbrt`
28×	`add-exp-log`
24×	`unpow-prod-down`
23×	`pow1`
22×	`add-cbrt-cube`
15×	`associate-/r*`
9×	`div-exp` `associate-/l*`
8×	`sqr-pow`
6×	`pow-plus` `prod-exp` `pow-prod-up` `cbrt-unprod`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `pow-prod-down` `div-inv`
2×	`pow2` `pow-to-exp` `pow-exp` `pow-sqr`
1×	`associate-l` `pow3` `*-commutative` `unswap-sqr`

Counts

4 → 153

Calls

4 calls:

34.0ms	(* (* x x) x)
10.0ms	(/ 2 (pow x 5))
30.0ms	(/ 2 (* (* x x) x))
10.0ms	(/ 2 (pow x 7))

series271.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* x x) x)
87.0ms	(/ 2 (pow x 5))
60.0ms	(/ 2 (* (* x x) x))
85.0ms	(/ 2 (pow x 7))

simplify1.4s

Counts

165 → 165

Iterations

Iter	Nodes
done	2000
3	2000
2	1550
1	428
0	215

prune1.7s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

97.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 9.8b

bsearch2.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	36
1	36
0	27

end0.0ms

sample2.2s

Algorithm

intervals

Results

869.0ms	1890×	body	640	valid
470.0ms	4144×	body	80	valid
337.0ms	906×	body	320	valid
281.0ms	572×	body	1280	valid
118.0ms	490×	body	160	valid