Details

sample36.0ms

Algorithm

intervals

Results

8.0ms	175×	body	80	valid
8.0ms	25×	body	1280	valid
6.0ms	28×	body	640	valid
3.0ms	21×	body	320	valid
1.0ms	7×	body	160	valid

simplify9.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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:

9.0ms	(/ (sin y) y)
15.0ms	(* x (/ (sin y) y))

series108.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (sin y) y)
77.0ms	(* x (/ (sin y) y))

simplify533.0ms

Counts

69 → 69

Iterations

Useful iterations: done (531.0ms)

Iter	Nodes	Cost
0	102	595
1	236	572
2	992	524
done	5000	522

prune204.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

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:

6.0ms	(/ y (sin y))
38.0ms	(* x (/ 1 (/ y (sin y))))
11.0ms	(/ 1 (/ y (sin y)))

series319.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ y (sin y))
251.0ms	(* x (/ 1 (/ y (sin y))))
29.0ms	(/ 1 (/ y (sin y)))

simplify1.7s

Counts

191 → 191

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	244	2235
1	672	1845
2	3415	1645
done	5000	1643

prune480.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:

10.0ms	(/ y (sin y))
18.0ms	(/ x (/ y (sin y)))

series106.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ y (sin y))
73.0ms	(/ x (/ y (sin y)))

simplify1.0s

Counts

107 → 107

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	175	1270
1	430	1208
2	2009	1138
done	5001	1133

prune374.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

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)))

rewrite54.0ms

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

Counts

3 → 100

Calls

3 calls:

13.0ms	(/ x (* y (/ 1 (sin y))))
10.0ms	(/ 1 (sin y))
28.0ms	(* y (/ 1 (sin y)))

series146.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ x (* y (/ 1 (sin y))))
28.0ms	(/ 1 (sin y))
53.0ms	(* y (/ 1 (sin y)))

simplify1.0s

Counts

109 → 109

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	149	993
1	362	870
2	1902	680
done	5002	679

prune288.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes66.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	9	6
done	9	6

end0.0ms

sample1.6s

Algorithm

intervals

Results

461.0ms	5276×	body	80	valid
374.0ms	901×	body	1280	valid
245.0ms	987×	body	640	valid
181.0ms	537×	body	320	valid
37.0ms	299×	body	160	valid