Details

sample41.0ms

Algorithm

intervals

Results

9.0ms	29×	body	1280	valid
9.0ms	169×	body	80	valid
6.0ms	30×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	13×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	12	6
3	16	6
4	17	6
done	17	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

18.0ms	(* x (/ (sin y) y))
15.0ms	(/ (sin y) y)

series94.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* x (/ (sin y) y))
31.0ms	(/ (sin y) y)

simplify4.6s

Counts

69 → 69

Iterations

Useful iterations: 3 (482.0ms)

Iter	Nodes	Cost
0	102	595
1	213	568
2	568	516
3	1586	514
4	4787	514
done	5001	514

prune231.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

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×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 182

Calls

3 calls:

58.0ms	(* x (/ 1 (/ y (sin y))))
9.0ms	(/ y (sin y))
12.0ms	(/ 1 (/ y (sin y)))

series143.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* x (/ 1 (/ y (sin y))))
36.0ms	(/ y (sin y))
34.0ms	(/ 1 (/ y (sin y)))

simplify2.2s

Counts

191 → 191

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	244	2235
1	543	1761
2	1082	1524
3	2975	1504
done	5000	1504

prune448.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 101

Calls

2 calls:

12.0ms	(/ x (/ y (sin y)))
6.0ms	(/ y (sin y))

series125.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(/ x (/ y (sin y)))
43.0ms	(/ y (sin y))

simplify2.1s

Counts

107 → 107

Iterations

Useful iterations: 3 (964.0ms)

Iter	Nodes	Cost
0	175	1270
1	356	1192
2	1038	1130
3	2965	1127
done	5000	1127

prune360.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-r`
105×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
35×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

3 → 483

Calls

3 calls:

97.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
13.0ms	(/ 1 (sin y))
25.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series146.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
26.0ms	(/ 1 (sin y))
38.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify2.4s

Counts

492 → 492

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	609	8296
1	1591	5695
2	2700	4824
done	5000	4742

prune876.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes111.0ms

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	5	6
done	5	6

end0.0ms

sample1.2s

Algorithm

intervals

Results

320.0ms	936×	body	1280	valid
273.0ms	5263×	body	80	valid
217.0ms	988×	body	640	valid
80.0ms	518×	body	320	valid
32.0ms	295×	body	160	valid