Details

sample24.0ms

Algorithm

intervals

Results

6.0ms	269×	body	80	valid
6.0ms	281×	body	80	nan

simplify111.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	23	8
3	38	8
4	55	8
5	70	8
6	79	8
7	96	8
8	115	8
9	122	8
10	126	8
11	130	8
done	130	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:

15.0ms	(+ (- 1.0 x) (* y (sqrt x)))
4.0ms	(* y (sqrt x))

series86.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (- 1.0 x) (* y (sqrt x)))
43.0ms	(* y (sqrt x))

simplify1.5s

Counts

43 → 43

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	96	442
1	241	398
2	640	366
3	2090	353
done	5000	350

prune92.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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:

1.0ms	(sqrt (sqrt x))
1.0ms	(sqrt (sqrt x))
7.0ms	(* y (sqrt (sqrt x)))
17.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(sqrt (sqrt x))
138.0ms	(sqrt (sqrt x))
83.0ms	(* y (sqrt (sqrt x)))
42.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.9s

Counts

100 → 100

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	132	915
1	340	716
2	1028	650
3	3316	634
done	5000	631

prune200.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (pow x 1/4))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sqrt-prod`
20×	`add-sqr-sqrt`
19×	`add-exp-log`
16×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
9×	`add-log-exp`
8×	`pow1`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`unpow-prod-down` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `associate-+l+` `pow1/2` `pow-exp` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `flip-+` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

17.0ms	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
1.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
15.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/4))

series386.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
145.0ms	(sqrt (sqrt x))
79.0ms	(* y (sqrt (sqrt x)))
90.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/4))

simplify883.0ms

Counts

96 → 96

Iterations

Useful iterations: done (880.0ms)

Iter	Nodes	Cost
0	204	1205
1	543	1066
2	1794	988
done	5001	985

prune233.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (sqrt x)))
0.3b	(* y (sqrt (sqrt (sqrt x))))
0.3b	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (pow x 1/4))
0.4b	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

63×	`sqrt-prod`
35×	`add-exp-log`
31×	`associate-r`
29×	`add-sqr-sqrt`
22×	`prod-exp`
20×	`add-cbrt-cube`
18×	`add-cube-cbrt` `*-un-lft-identity`
14×	`pow1`
10×	`cbrt-unprod`
9×	`sqrt-pow1`
5×	`associate-l`
4×	`pow-prod-down` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `unpow-prod-down` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative`
1×	`sqr-pow`

Counts

4 → 110

Calls

4 calls:

2.0ms	(sqrt (sqrt (sqrt x)))
9.0ms	(* y (sqrt (sqrt (sqrt x))))
85.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (pow x 1/4))
24.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series421.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(sqrt (sqrt (sqrt x)))
97.0ms	(* y (sqrt (sqrt (sqrt x))))
88.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (pow x 1/4))
79.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify898.0ms

Counts

122 → 122

Iterations

Useful iterations: done (895.0ms)

Iter	Nodes	Cost
0	215	1682
1	570	1208
2	1974	1066
done	5000	1064

prune295.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes65.0ms

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

sample649.0ms

Algorithm

intervals

Results

185.0ms	8517×	body	80	valid
180.0ms	8539×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid