Details

sample56.0ms

Algorithm

intervals

Results

13.0ms	25×	body	1280	valid
12.0ms	175×	body	80	valid
9.0ms	28×	body	640	valid
5.0ms	21×	body	320	valid
1.0ms	7×	body	160	valid

simplify16.0ms

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

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

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` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

30.0ms	(/ (sin y) y)
24.0ms	(* x (/ (sin y) y))

series131.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (sin y) y)
85.0ms	(* x (/ (sin y) y))

simplify593.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (164.0ms)

Iter	Nodes	Cost
0	98	571
1	232	549
2	999	501
done	5000	501

prune184.0ms

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)))

rewrite69.0ms

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×	`associate-l` `cbrt-unprod` `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 → 176

Calls

3 calls:

6.0ms	(/ y (sin y))
33.0ms	(* x (/ 1 (/ y (sin y))))
16.0ms	(/ 1 (/ y (sin y)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ y (sin y))
66.0ms	(* x (/ 1 (/ y (sin y))))
49.0ms	(/ 1 (/ y (sin y)))

simplify1.4s

Counts

185 → 185

Iterations

Useful iterations: 2 (487.0ms)

Iter	Nodes	Cost
0	238	2193
1	659	1812
2	3323	1590
done	5000	1590

prune500.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 97

Calls

2 calls:

9.0ms	(/ y (sin y))
11.0ms	(/ x (/ y (sin y)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ y (sin y))
81.0ms	(/ x (/ y (sin y)))

simplify1.0s

Counts

103 → 103

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	171	1246
1	424	1186
2	1929	1114
done	5001	1112

prune334.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

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)))

rewrite45.0ms

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×	`rec-exp` `1-exp` `associate-l` `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 → 94

Calls

3 calls:

17.0ms	(/ x (* y (/ 1 (sin y))))
6.0ms	(/ 1 (sin y))
18.0ms	(* y (/ 1 (sin y)))

series105.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ x (* y (/ 1 (sin y))))
15.0ms	(/ 1 (sin y))
26.0ms	(* y (/ 1 (sin y)))

simplify991.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (307.0ms)

Iter	Nodes	Cost
0	143	951
1	354	831
2	1909	650
done	5000	650

prune174.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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	10	6
2	11	6
done	11	6

end0.0ms

sample1.4s

Algorithm

intervals

Results

401.0ms	5276×	body	80	valid
323.0ms	901×	body	1280	valid
288.0ms	987×	body	640	valid
84.0ms	537×	body	320	valid
33.0ms	299×	body	160	valid