Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	277×	body	80	valid
5.0ms	238×	body	80	nan

simplify154.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	25	7
3	42	7
4	65	7
5	86	7
6	103	7
7	124	7
8	147	7
9	154	7
10	162	7
11	166	7
done	166	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))

rewrite5.0ms

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:

4.0ms

(* y (sqrt x))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* y (sqrt x))

simplify2.7s

Counts

27 → 27

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	65	220
1	155	197
2	380	183
3	1199	175
4	3763	170
done	5001	170

prune61.0ms

Pruning

6 alts after pruning (5 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))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite31.0ms

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:

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)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(sqrt (sqrt x))
140.0ms	(sqrt (sqrt x))
81.0ms	(* y (sqrt (sqrt x)))
42.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify2.1s

Counts

108 → 108

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	138	963
1	355	754
2	1064	688
3	3549	671
done	5000	671

prune241.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite40.0ms

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×	`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` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv` `sqr-pow`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 125

Calls

4 calls:

4.0ms	(pow (/ 1 x) -1/4)
1.0ms	(sqrt (sqrt x))
7.0ms	(* y (sqrt (sqrt x)))
24.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

series492.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(pow (/ 1 x) -1/4)
141.0ms	(sqrt (sqrt x))
83.0ms	(* y (sqrt (sqrt x)))
88.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

simplify855.0ms

Counts

137 → 137

Iterations

Useful iterations: done (851.0ms)

Iter	Nodes	Cost
0	250	1503
1	646	1285
2	1805	1204
done	5000	1202

prune338.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

335×	`add-exp-log`
220×	`prod-exp`
144×	`pow-exp`
100×	`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`
28×	`unswap-sqr`
27×	`associate-r`
22×	`sqrt-prod`
21×	`associate-l`
20×	`add-cbrt-cube`
19×	`swap-sqr`
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 → 270

Calls

4 calls:

1.0ms	(sqrt (sqrt x))
7.0ms	(* y (sqrt (sqrt x)))
40.0ms	(* (* y (sqrt (sqrt x))) (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8)))
31.0ms	(* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))

series509.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(sqrt (sqrt x))
85.0ms	(* y (sqrt (sqrt x)))
88.0ms	(* (* y (sqrt (sqrt x))) (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8)))
189.0ms	(* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))

simplify831.0ms

Counts

282 → 282

Iterations

Useful iterations: done (823.0ms)

Iter	Nodes	Cost
0	375	4879
1	919	3067
2	2280	2832
done	5000	2830

prune443.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes77.0ms

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

sample653.0ms

Algorithm

intervals

Results

197.0ms	8562×	body	80	valid
181.0ms	8597×	body	80	nan
0.0ms	1×	body	160	valid