Details

sample21.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
2.0ms	76×	body	80	nan

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
1	8
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(+ 1.0 (sqrt (+ 1.0 x)))
0.2b	(/ x (+ 1.0 (sqrt (+ 1.0 x))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`times-frac`
6×	`distribute-lft-out`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`pow1` `associate-/r*` `sqrt-prod`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`sqrt-div` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `clear-num` `sum-log` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

3 → 61

Calls

3 calls:

16.0ms	(sqrt (+ 1.0 x))
25.0ms	(+ 1.0 (sqrt (+ 1.0 x)))
46.0ms	(/ x (+ 1.0 (sqrt (+ 1.0 x))))

series363.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(sqrt (+ 1.0 x))
73.0ms	(+ 1.0 (sqrt (+ 1.0 x)))
240.0ms	(/ x (+ 1.0 (sqrt (+ 1.0 x))))

simplify693.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1502
1	317
0	137

prune214.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (+ 1.0 x)))
0.0b	(sqrt (sqrt (+ 1.0 x)))
0.2b	(* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))
0.2b	(/ x (+ 1.0 (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

106×	`sqrt-prod`
62×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
40×	`sqrt-pow1`
32×	`sqrt-div`
31×	`pow1`
28×	`add-cube-cbrt`
20×	`pow1/2`
18×	`swap-sqr`
10×	`associate-r` `associate-l`
9×	`flip3-+` `times-frac` `pow-prod-up` `flip-+` `unswap-sqr`
8×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`associate-l/` `associate-r/` `associate-/r/`
1×	`pow2` `cbrt-undiv` `clear-num` `rem-square-sqrt` `frac-2neg` `pow-plus` `sqrt-unprod` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 161

Calls

4 calls:

6.0ms	(sqrt (sqrt (+ 1.0 x)))
7.0ms	(sqrt (sqrt (+ 1.0 x)))
42.0ms	(* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))
12.0ms	(/ x (+ 1.0 (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))))

series465.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(sqrt (sqrt (+ 1.0 x)))
122.0ms	(sqrt (sqrt (+ 1.0 x)))
44.0ms	(* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))
175.0ms	(/ x (+ 1.0 (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))))

simplify1.5s

Counts

173 → 173

Iterations

Iter	Nodes
done	5001
2	2668
1	551
0	239

prune596.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(+ 1.0 (sqrt (+ 1.0 x)))
0.1b	(/ (+ 1.0 (sqrt (+ 1.0 x))) (sqrt x))
0.1b	(/ (sqrt x) (/ (+ 1.0 (sqrt (+ 1.0 x))) (sqrt x)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

360×	`times-frac`
287×	`*-un-lft-identity`
190×	`sqrt-prod`
186×	`add-sqr-sqrt`
185×	`add-cube-cbrt`
51×	`distribute-lft-out`
34×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/l*`
9×	`div-inv`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`flip3-+` `flip-+`
2×	`clear-num` `frac-2neg` `sqrt-div` `associate-/l/`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2` `associate-/r/`

Counts

4 → 293

Calls

4 calls:

6.0ms	(sqrt (+ 1.0 x))
15.0ms	(+ 1.0 (sqrt (+ 1.0 x)))
81.0ms	(/ (+ 1.0 (sqrt (+ 1.0 x))) (sqrt x))
67.0ms	(/ (sqrt x) (/ (+ 1.0 (sqrt (+ 1.0 x))) (sqrt x)))

series566.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sqrt (+ 1.0 x))
75.0ms	(+ 1.0 (sqrt (+ 1.0 x)))
229.0ms	(/ (+ 1.0 (sqrt (+ 1.0 x))) (sqrt x))
208.0ms	(/ (sqrt x) (/ (+ 1.0 (sqrt (+ 1.0 x))) (sqrt x)))

simplify600.0ms

Counts

305 → 305

Iterations

Iter	Nodes
done	5001
1	979
0	372

prune940.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample749.0ms

Algorithm

intervals

Results

413.0ms	7998×	body	80	valid
85.0ms	2675×	body	80	nan
0.0ms	2×	body	1280	valid