Details

sample85.0ms

Algorithm

intervals

Results

28.0ms	279×	body	160	nan
24.0ms	520×	body	80	nan
17.0ms	256×	body	80	valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
9	3422
8	1055
7	442
6	232
5	95
4	58
3	33
2	17
1	14
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.8b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sqrt (- (* x x) 1)))
31.5b	(sqrt (- (* x x) 1))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `sqrt-prod`
5×	`add-sqr-sqrt`
4×	`add-log-exp`
3×	`pow1` `add-cube-cbrt`
2×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `difference-of-sqr-1` `flip-+` `flip--` `distribute-lft-out`

Counts

2 → 32

Calls

2 calls:

19.0ms	(+ x (sqrt (- (* x x) 1)))
12.0ms	(sqrt (- (* x x) 1))

series112.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ x (sqrt (- (* x x) 1)))
44.0ms	(sqrt (- (* x x) 1))

simplify1.5s

Counts

38 → 38

Iterations

Iter	Nodes
4	2458
3	999
2	438
1	206
0	91

prune165.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (- (- x (/ (/ 1/8 x) (* x x))) (/ 1/2 x)))
0.1b	(/ (/ 1/8 x) (* x x))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac`
25×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/l*`
11×	`add-log-exp`
6×	`cbrt-undiv` `div-exp`
4×	`associate-+r+`
3×	`sum-log` `diff-log` `div-inv` `distribute-lft-out` `distribute-lft-out--`
2×	`pow1` `sub-neg` `prod-exp` `associate--l+` `cbrt-unprod` `insert-posit16`
1×	`+-commutative` `clear-num` `associate-+r-` `associate-/r*` `frac-2neg` `flip3-+` `flip-+` `associate-/l/`

Counts

2 → 69

Calls

2 calls:

173.0ms	(+ x (- (- x (/ (/ 1/8 x) (* x x))) (/ 1/2 x)))
10.0ms	(/ (/ 1/8 x) (* x x))

series124.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ x (- (- x (/ (/ 1/8 x) (* x x))) (/ 1/2 x)))
67.0ms	(/ (/ 1/8 x) (* x x))

simplify1.5s

Counts

75 → 75

Iterations

Iter	Nodes
3	4103
2	1001
1	333
0	142

prune271.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	12
1	12
0	11

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.9s	16323×	body	80	nan
1.3s	7748×	body	160	nan
676.0ms	8000×	body	80	valid