Details

sample132.0ms

Algorithm

intervals

Results

81.0ms	640×	body	80	nan
31.0ms	256×	body	80	valid

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	20
3	20
2	18
1	14
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite555.0ms

Algorithm

rewrite-expression-head

Rules

490×	`add-sqr-sqrt`
480×	`associate-/l*`
468×	`frac-add`
411×	`*-un-lft-identity`
303×	`sqrt-prod`
236×	`log-div`
210×	`associate-/r*`
190×	`difference-of-squares`
186×	`add-cube-cbrt`
70×	`clear-num` `frac-2neg`
59×	`times-frac`
50×	`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--`
13×	`fma-def` `div-inv`
6×	`distribute-rgt-out`
5×	`pow1` `add-log-exp`
4×	`add-exp-log`
3×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
2×	`flip3-+` `distribute-rgt1-in` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2` `rem-log-exp` `log-pow`

Counts

3 → 578

Calls

3 calls:

252.0ms	(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
162.0ms	(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
68.0ms	(sqrt (- 1 (* x x)))

series360.0ms

Counts

3 → 9

Calls

3 calls:

214.0ms	(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
90.0ms	(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
55.0ms	(sqrt (- 1 (* x x)))

simplify2.4s

Counts

587 → 587

Iterations

Iter	Nodes
done	5003
1	2595
0	970

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

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))))

rewrite20.8s

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×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 57098

Calls

4 calls:

165.0ms	(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
158.0ms	(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
177.0ms	(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))))

series1.0s

Counts

4 → 12

Calls

4 calls:

220.0ms	(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
220.0ms	(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
252.0ms	(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
332.0ms	(* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

simplify1.7m

Counts

57110 → 57110

Iterations

Iter	Nodes
done	35631
0	35631

prune3.7m

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.8s	23350×	body	80	nan
671.0ms	8000×	body	80	valid