Details

sample74.0ms

Algorithm

intervals

Results

30.0ms	89×	body	1280	valid
13.0ms	297×	body	80	valid
11.0ms	59×	body	640	valid
5.0ms	35×	body	320	valid
2.0ms	19×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	27	7
3	53	7
4	92	7
5	129	7
6	237	7
7	517	7
8	1107	7
9	1774	7
10	2063	7
11	2175	7
done	2175	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite13.0ms

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

Counts

2 → 61

Calls

2 calls:

8.0ms	(* (cosh x) (/ (sin y) y))
3.0ms	(/ (sin y) y)

series101.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (cosh x) (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify2.4s

Counts

67 → 67

Iterations

Useful iterations: 2 (133.0ms)

Iter	Nodes	Cost
0	120	663
1	262	632
2	867	568
3	4000	568
done	5000	568

prune167.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))

rewrite39.0ms

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

Counts

3 → 178

Calls

3 calls:

24.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
5.0ms	(/ 1 (/ y (sin y)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
22.0ms	(/ y (sin y))
26.0ms	(/ 1 (/ y (sin y)))

simplify919.0ms

Counts

187 → 187

Iterations

Useful iterations: done (915.0ms)

Iter	Nodes	Cost
0	259	2334
1	616	1858
2	1461	1611
done	5000	1581

prune353.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (* (/ 1 y) (sin y)))
0.2b	(* (/ 1 y) (sin y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`associate-l` `add-cbrt-cube`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
9×	`pow1`
7×	`cbrt-unprod`
4×	`div-exp` `associate-r` `pow-prod-down` `associate-*l/`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `cosh-def` `1-exp` `*-commutative` `add-log-exp`
1×	`frac-times` `associate-*r/` `div-inv`

Counts

2 → 60

Calls

2 calls:

14.0ms	(* (cosh x) (* (/ 1 y) (sin y)))
9.0ms	(* (/ 1 y) (sin y))

series100.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (cosh x) (* (/ 1 y) (sin y)))
26.0ms	(* (/ 1 y) (sin y))

simplify1.6s

Counts

66 → 66

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	132	721
1	315	575
2	853	463
3	2871	463
done	5000	451

prune141.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
0.1b	(/ 1 (sin y))
0.1b	(/ 1 (* y (/ 1 (sin y))))
0.2b	(* y (/ 1 (sin y)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log`
44×	`prod-exp`
36×	`div-exp`
34×	`add-sqr-sqrt` `add-cbrt-cube`
26×	`*-un-lft-identity` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
18×	`rec-exp` `1-exp`
12×	`pow1`
10×	`cbrt-undiv` `cbrt-unprod`
6×	`associate-l` `associate-/l*`
4×	`associate-r/` `associate-/r` `associate-/r/` `un-div-inv` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-flip` `pow-prod-down`
2×	`cosh-def` `frac-2neg` `clear-num` `*-commutative` `inv-pow`
1×	`frac-times` `associate-*l/`

Counts

4 → 153

Calls

4 calls:

25.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
2.0ms	(/ 1 (sin y))
9.0ms	(/ 1 (* y (/ 1 (sin y))))
8.0ms	(* y (/ 1 (sin y)))

series136.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
13.0ms	(/ 1 (sin y))
24.0ms	(/ 1 (* y (/ 1 (sin y))))
25.0ms	(* y (/ 1 (sin y)))

simplify2.5s

Counts

165 → 165

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	213	1764
1	527	1252
2	1269	1016
3	4504	1004
done	5000	1004

prune233.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes82.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample2.3s

Algorithm

intervals

Results

903.0ms	2914×	body	1280	valid
476.0ms	2449×	body	640	valid
380.0ms	8590×	body	80	valid
157.0ms	1187×	body	320	valid
65.0ms	696×	body	160	valid