Details

sample34.0ms

Algorithm

intervals

Results

9.0ms	268×	body	80	valid
9.0ms	286×	body	80	nan

simplify997.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1334
6	407
5	134
4	62
3	40
2	23
1	13
0	7

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

0.3b	(* y (sqrt x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

8.0ms

(* y (sqrt x))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(* y (sqrt x))

simplify1.9s

Counts

25 → 25

Iterations

Iter	Nodes
done	5001
3	3316
2	535
1	157
0	63

prune150.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
0.3b	(* y (sqrt (sqrt x)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

4.0ms	(sqrt (sqrt x))
4.0ms	(sqrt (sqrt x))
59.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
21.0ms	(* y (sqrt (sqrt x)))

series1.0s

Counts

4 → 12

Calls

4 calls:

221.0ms	(sqrt (sqrt x))
578.0ms	(sqrt (sqrt x))
56.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
148.0ms	(* y (sqrt (sqrt x)))

simplify842.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1677
1	353
0	132

prune468.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ 1 x) -1/4)
0.1b	(sqrt (sqrt x))
0.2b	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))
0.3b	(* y (sqrt (sqrt x)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
34×	`add-sqr-sqrt`
26×	`unpow-prod-down` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
22×	`sqrt-prod`
19×	`prod-exp`
18×	`times-frac`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv` `sqr-pow`
1×	`pow-prod-down` `pow-flip` `inv-pow`

Counts

4 → 117

Calls

4 calls:

6.0ms	(pow (/ 1 x) -1/4)
2.0ms	(sqrt (sqrt x))
69.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))
18.0ms	(* y (sqrt (sqrt x)))

series697.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(pow (/ 1 x) -1/4)
226.0ms	(sqrt (sqrt x))
111.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))
96.0ms	(* y (sqrt (sqrt x)))

simplify1.4s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	3076
1	715
0	243

prune635.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (sqrt (fabs (cbrt x))))
0.3b	(* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

19×	`sqrt-prod`
18×	`associate-r`
17×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`cbrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

8.0ms	(* y (sqrt (fabs (cbrt x))))
29.0ms	(* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series834.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* y (sqrt (fabs (cbrt x))))
240.0ms	(* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x))))
258.0ms	(cbrt x)
282.0ms	(cbrt x)

simplify776.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1215
1	263
0	117

prune579.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes208.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

473.0ms	8462×	body	80	nan
455.0ms	8553×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid