Details

sample154.0ms

Algorithm

intervals

Results

89.0ms	640×	body	80	nan
40.0ms	256×	body	80	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
2	18
1	14
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
0.0b	(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
0.0b	(sqrt (- 1 (* x x)))

rewrite512.0ms

Algorithm

rewrite-expression-head

Rules

483×	`add-sqr-sqrt`
480×	`associate-/l*`
468×	`frac-add`
404×	`*-un-lft-identity`
303×	`sqrt-prod`
236×	`log-div`
210×	`associate-/r*`
190×	`difference-of-squares`
179×	`add-cube-cbrt`
70×	`clear-num` `frac-2neg`
50×	`times-frac` `distribute-lft-out--`
38×	`sqrt-div` `swap-sqr` `*-commutative` `unswap-sqr`
36×	`associate-/l/`
28×	`distribute-lft-out`
25×	`associate-l`
21×	`log-prod`
19×	`flip3--` `flip--`
12×	`div-inv`
6×	`distribute-rgt-out`
5×	`pow1` `add-log-exp`
4×	`add-exp-log`
3×	`add-cbrt-cube` `insert-posit16`
2×	`flip3-+` `distribute-rgt1-in` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2` `rem-log-exp` `log-pow`

Counts

3 → 559

Calls

3 calls:

184.0ms	(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
209.0ms	(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
50.0ms	(sqrt (- 1 (* x x)))

series387.0ms

Counts

3 → 9

Calls

3 calls:

186.0ms	(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
118.0ms	(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
83.0ms	(sqrt (- 1 (* x x)))

simplify1.6s

Counts

568 → 568

Iterations

Iter	Nodes
done	5002
1	2453
0	964

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
0.5b	(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
0.5b	(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
0.5b	(* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

rewrite21.6s

Algorithm

rewrite-expression-head

Rules

114480×	`associate-/l*`
112572×	`cbrt-div`
111618×	`frac-add`
102280×	`add-sqr-sqrt`
76682×	`*-un-lft-identity`
64494×	`sqrt-prod`
55696×	`frac-times`
50085×	`associate-/r*`
42930×	`difference-of-squares`
37778×	`add-cube-cbrt`
16695×	`clear-num` `frac-2neg`
8652×	`distribute-lft-out--`
8636×	`swap-sqr`
8590×	`unswap-sqr`
8587×	`*-commutative`
8586×	`sqrt-div` `associate-/l/`
4350×	`associate-l`
4293×	`flip3--` `flip--`
477×	`flip3-+` `flip-+`
247×	`times-frac`
236×	`associate-l/` `associate-r/`
203×	`cbrt-prod`
142×	`distribute-lft-out`
52×	`div-inv`
25×	`distribute-rgt-out`
24×	`associate-r`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
7×	`distribute-rgt1-in`
6×	`add-exp-log`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 57090

Calls

4 calls:

157.0ms	(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
151.0ms	(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
169.0ms	(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
3.4s	(* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

series1.1s

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
255.0ms	(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
261.0ms	(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
302.0ms	(* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

simplify1.7m

Counts

57102 → 57102

Iterations

Iter	Nodes
done	35627
0	35627

prune4.2m

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.0s	23350×	body	80	nan
735.0ms	8000×	body	80	valid