Details

sample52.0ms

Algorithm

intervals

Results

13.0ms	31×	body	1280	valid
10.0ms	155×	body	80	valid
9.0ms	35×	body	640	valid
5.0ms	26×	body	320	valid
1.0ms	9×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
5	17
4	16
3	14
2	12
1	8
0	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 63

Calls

2 calls:

18.0ms	(* x (/ (sin y) y))
21.0ms	(/ (sin y) y)

series126.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(* x (/ (sin y) y))
38.0ms	(/ (sin y) y)

simplify2.0s

Counts

69 → 69

Iterations

Iter	Nodes
done	5004
3	3228
2	730
1	234
0	102

prune331.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 182

Calls

3 calls:

29.0ms	(* x (/ 1 (/ y (sin y))))
4.0ms	(/ y (sin y))
10.0ms	(/ 1 (/ y (sin y)))

series150.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(* x (/ 1 (/ y (sin y))))
35.0ms	(/ y (sin y))
33.0ms	(/ 1 (/ y (sin y)))

simplify1.5s

Counts

191 → 191

Iterations

Iter	Nodes
done	5001
2	1650
1	650
0	244

prune764.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ y (sin y)))
0.1b	(/ y (sin y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 101

Calls

2 calls:

8.0ms	(/ x (/ y (sin y)))
4.0ms	(/ y (sin y))

series108.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(/ x (/ y (sin y)))
32.0ms	(/ y (sin y))

simplify2.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	5020
3	4820
2	1253
1	423
0	175

prune524.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ x (* y (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(* y (/ 1 (sin y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
28×	`add-sqr-sqrt`
23×	`times-frac`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
19×	`add-cbrt-cube`
13×	`associate-r`
11×	`div-exp`
8×	`prod-exp`
6×	`pow1` `cbrt-undiv` `associate-/l*`
4×	`associate-/r*` `cbrt-unprod`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `associate-*r/` `associate-/r/` `un-div-inv`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 100

Calls

3 calls:

16.0ms	(/ x (* y (/ 1 (sin y))))
5.0ms	(/ 1 (sin y))
13.0ms	(* y (/ 1 (sin y)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ x (* y (/ 1 (sin y))))
17.0ms	(/ 1 (sin y))
43.0ms	(* y (/ 1 (sin y)))

simplify2.8s

Counts

109 → 109

Iterations

Iter	Nodes
done	5009
3	4867
2	1194
1	343
0	149

prune469.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample2.2s

Algorithm

intervals

Results

949.0ms	957×	body	1280	valid
345.0ms	5167×	body	80	valid
343.0ms	998×	body	640	valid
207.0ms	573×	body	320	valid
91.0ms	305×	body	160	valid