Details

sample64.0ms

Algorithm

intervals

Results

14.0ms	281×	body	80	nan
14.0ms	274×	body	80	valid

simplify1.4s

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

prune3.0ms

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))

rewrite81.0ms

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:

55.0ms	(+ (- 1.0 x) (* y (sqrt x)))
25.0ms	(* y (sqrt x))

series109.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (- 1.0 x) (* y (sqrt x)))
49.0ms	(* y (sqrt x))

simplify617.0ms

Counts

43 → 43

Iterations

Useful iterations: done (615.0ms)

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

prune246.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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)))

rewrite88.0ms

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))
4.0ms	(sqrt (sqrt x))
27.0ms	(* y (sqrt (sqrt x)))
48.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series605.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(sqrt (sqrt x))
246.0ms	(sqrt (sqrt x))
91.0ms	(* y (sqrt (sqrt x)))
60.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.3s

Counts

100 → 100

Iterations

Useful iterations: done (1.3s)

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

prune561.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `unpow-prod-down` `-un-lft-identity` `associate-r*`
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-flip` `pow-prod-down` `inv-pow`

Counts

4 → 117

Calls

4 calls:

7.0ms	(pow (/ 1 x) -1/4)
2.0ms	(sqrt (sqrt x))
18.0ms	(* y (sqrt (sqrt x)))
56.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

series808.0ms

Counts

4 → 12

Calls

4 calls:

346.0ms	(pow (/ 1 x) -1/4)
205.0ms	(sqrt (sqrt x))
139.0ms	(* y (sqrt (sqrt x)))
117.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

simplify1.9s

Counts

129 → 129

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	242	1447
1	711	1234
2	3113	1154
done	5001	1141

prune583.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

146×	`add-exp-log`
84×	`prod-exp`
64×	`pow-exp`
55×	`unpow-prod-down`
47×	`add-sqr-sqrt`
38×	`*-un-lft-identity` `times-frac`
37×	`add-cube-cbrt`
34×	`associate-r`
32×	`div-exp`
16×	`pow-to-exp` `rec-exp` `1-exp`
11×	`add-cbrt-cube`
8×	`pow1`
6×	`pow-unpow` `pow-pow`
5×	`unswap-sqr` `sqr-pow`
4×	`associate-l` `cbrt-unprod` `div-inv` `add-log-exp`
2×	`pow-flip` `*-commutative` `inv-pow`

Counts

4 → 174

Calls

4 calls:

14.0ms	(pow (/ 1 x) -1/4)
14.0ms	(pow (/ 1 x) -1/4)
33.0ms	(* y (pow (/ 1 x) -1/4))
74.0ms	(* (* y (pow (/ 1 x) -1/4)) (pow (/ 1 x) -1/4))

series686.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(pow (/ 1 x) -1/4)
270.0ms	(pow (/ 1 x) -1/4)
91.0ms	(* y (pow (/ 1 x) -1/4))
65.0ms	(* (* y (pow (/ 1 x) -1/4)) (pow (/ 1 x) -1/4))

simplify2.0s

Counts

186 → 186

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	217	2337
1	642	1913
2	2970	1582
done	5000	1561

prune567.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes215.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.9s

Algorithm

intervals

Results

809.0ms	8516×	body	80	valid
471.0ms	8577×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid