Details

sample29.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
6.0ms	238×	body	80	nan

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	7	6
2	11	6
3	13	6
done	13	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (- 1.0 (* x x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
1×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`

Counts

1 → 18

Calls

1 calls:

7.0ms

(sqrt (- 1.0 (* x x)))

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(sqrt (- 1.0 (* x x)))

simplify1.0s

Counts

21 → 21

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	69	260
1	163	230
2	461	214
3	1546	211
done	5001	208

prune50.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (/ (pow x 2) (sqrt 1.0)) (+ 1/2 (/ (* 1/8 (* x x)) 1.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

56×	`times-frac`
53×	`add-sqr-sqrt`
52×	`associate-l`
33×	`*-un-lft-identity`
31×	`add-cube-cbrt`
28×	`sqrt-prod`
20×	`unpow-prod-down`
11×	`add-exp-log`
9×	`unswap-sqr`
8×	`unpow2` `sqr-pow`
6×	`add-cbrt-cube`
4×	`associate-r` `prod-exp`
3×	`pow1` `div-exp`
2×	`frac-times` `flip3-+` `associate-*r/` `cbrt-unprod` `flip-+`
1×	`cbrt-undiv` `distribute-rgt-in` `expm1-log1p-u` `pow-to-exp` `distribute-lft-in` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `log1p-expm1-u` `div-inv` `distribute-lft-out` `add-log-exp`

Counts

1 → 89

Calls

1 calls:

56.0ms

(* (/ (pow x 2) (sqrt 1.0)) (+ 1/2 (/ (* 1/8 (* x x)) 1.0)))

series160.0ms

Counts

1 → 3

Calls

1 calls:

159.0ms

(* (/ (pow x 2) (sqrt 1.0)) (+ 1/2 (/ (* 1/8 (* x x)) 1.0)))

simplify1.1s

Counts

92 → 92

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	156	1914
1	593	1854
2	1901	1689
done	5000	1589

prune252.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
done	5	6

end0.0ms

sample502.0ms

Algorithm

intervals

Results

140.0ms	8000×	body	80	valid
128.0ms	7910×	body	80	nan