Details

sample28.0ms

Algorithm

intervals

Results

6.0ms	318×	body	80	nan
6.0ms	271×	body	80	valid

simplify152.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	25	7
3	44	7
4	65	7
5	88	7
6	105	7
7	126	7
8	149	7
9	156	7
10	171	7
done	171	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* y (sqrt x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`unswap-sqr`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 24

Calls

1 calls:

9.0ms

(* y (sqrt x))

series42.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* y (sqrt x))

simplify2.4s

Counts

27 → 27

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	65	220
1	155	197
2	365	183
3	959	175
4	3252	170
done	5000	170

prune56.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

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×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 96

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
2.0ms	(sqrt (sqrt x))
13.0ms	(* y (sqrt (sqrt x)))
38.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(sqrt (sqrt x))
132.0ms	(sqrt (sqrt x))
80.0ms	(* y (sqrt (sqrt x)))
46.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify2.1s

Counts

108 → 108

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	138	963
1	354	754
2	1000	688
3	3003	671
done	5001	659

prune443.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
38×	`add-sqr-sqrt`
29×	`unpow-prod-down`
27×	`*-un-lft-identity`
26×	`add-cube-cbrt` `associate-r`
20×	`times-frac`
19×	`prod-exp` `sqrt-prod`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `sqrt-pow1` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `sqr-pow`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 127

Calls

4 calls:

7.0ms	(pow (/ 1 x) -1/4)
2.0ms	(sqrt (sqrt x))
24.0ms	(* y (pow (/ 1 x) -1/4))
41.0ms	(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

series471.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(pow (/ 1 x) -1/4)
133.0ms	(sqrt (sqrt x))
66.0ms	(* y (pow (/ 1 x) -1/4))
83.0ms	(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

simplify1.1s

Counts

139 → 139

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	242	1538
1	574	1314
2	1557	1235
done	5000	1183

prune326.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.2b	(* y (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8)))
0.3b	(* (* y (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))) (sqrt (sqrt x)))
0.5b	(* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

335×	`add-exp-log`
220×	`prod-exp`
144×	`pow-exp`
95×	`add-sqr-sqrt`
86×	`unpow-prod-down`
72×	`div-exp`
56×	`times-frac`
54×	`*-un-lft-identity`
42×	`add-cube-cbrt`
36×	`pow-to-exp` `rec-exp` `1-exp`
27×	`associate-r`
26×	`unswap-sqr`
21×	`associate-l`
20×	`add-cbrt-cube`
19×	`swap-sqr` `sqrt-prod`
14×	`sqr-pow`
13×	`pow1`
10×	`cbrt-unprod`
6×	`div-inv`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2`
1×	`pow2` `pow-sqr` `pow-prod-up`

Counts

4 → 268

Calls

4 calls:

3.0ms	(sqrt (sqrt x))
44.0ms	(* y (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8)))
147.0ms	(* (* y (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))) (sqrt (sqrt x)))
47.0ms	(* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))

series481.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(sqrt (sqrt x))
68.0ms	(* y (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8)))
86.0ms	(* (* y (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))) (sqrt (sqrt x)))
186.0ms	(* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))

simplify1.2s

Counts

280 → 280

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	363	4934
1	758	2965
2	2150	2754
done	5000	2706

prune411.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes83.0ms

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

sample753.0ms

Algorithm

intervals

Results

183.0ms	8532×	body	80	valid
176.0ms	8759×	body	80	nan
0.0ms	1×	body	320	valid