Details

sample32.0ms

Algorithm

intervals

Results

7.0ms	270×	body	80	valid
6.0ms	242×	body	80	nan

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	23	8
3	40	8
4	62	8
5	134	8
6	407	8
7	1347	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.2b	(* y (sqrt x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
3×	`associate-l`
2×	`associate-+l+` `sum-log` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 37

Calls

2 calls:

41.0ms	(+ (- 1.0 x) (* y (sqrt x)))
11.0ms	(* y (sqrt x))

series131.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ (- 1.0 x) (* y (sqrt x)))
61.0ms	(* y (sqrt x))

simplify693.0ms

Counts

43 → 43

Iterations

Useful iterations: done (691.0ms)

Iter	Nodes	Cost
0	96	442
1	253	398
2	905	366
done	5001	355

prune179.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
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))
10.0ms	(sqrt (sqrt x))
25.0ms	(* y (sqrt (sqrt x)))
39.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series611.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(sqrt (sqrt x))
201.0ms	(sqrt (sqrt x))
120.0ms	(* y (sqrt (sqrt x)))
74.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.1s

Counts

100 → 100

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	132	915
1	355	716
2	1762	661
done	5000	640

prune318.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

130.0ms	(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
62.0ms	(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

329.0ms	(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
203.0ms	(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
274.0ms	(cbrt x)
295.0ms	(cbrt x)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	174	1279
1	454	1134
2	2241	995
done	5000	965

prune412.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
0.6b	(cbrt (pow (sqrt (sqrt x)) 3))
0.7b	(pow (sqrt (sqrt x)) 3)

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

66×	`sqrt-prod`
48×	`cbrt-prod`
36×	`add-sqr-sqrt` `associate-r`
30×	`add-cube-cbrt` `*-un-lft-identity`
27×	`unpow-prod-down` `cube-prod`
14×	`pow1`
12×	`add-exp-log`
10×	`add-cbrt-cube`
5×	`pow-pow`
4×	`sqrt-pow1` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cube-mult` `pow-unpow` `unpow3` `unswap-sqr` `sqr-pow`
2×	`pow1/2` `*-commutative`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 141

Calls

4 calls:

28.0ms	(* y (sqrt (sqrt x)))
82.0ms	(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
9.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
11.0ms	(pow (sqrt (sqrt x)) 3)

series969.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* y (sqrt (sqrt x)))
43.0ms	(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
170.0ms	(cbrt (pow (sqrt (sqrt x)) 3))
650.0ms	(pow (sqrt (sqrt x)) 3)

simplify3.6s

Counts

153 → 153

Iterations

Useful iterations: 2 (658.0ms)

Iter	Nodes	Cost
0	203	1793
1	612	1296
2	3690	1089
done	5001	1089

prune413.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes156.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	9	8
done	9	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

442.0ms	8507×	body	80	valid
373.0ms	8381×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid