Details

sample81.0ms

Algorithm

intervals

Results

32.0ms	95×	body	1280	valid
17.0ms	91×	body	640	valid
12.0ms	290×	body	80	valid
5.0ms	35×	body	320	valid
2.0ms	17×	body	160	valid

simplify3.9s

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	515	7
8	1107	7
9	1781	7
10	2104	7
11	2239	7
done	2239	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (sin y) y)
0.2b	(* (cosh x) (/ (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:

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

series101.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (sin y) y)
76.0ms	(* (cosh x) (/ (sin y) y))

simplify2.4s

Counts

67 → 67

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	120	663
1	262	632
2	868	568
3	4000	568
done	5000	568

prune168.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

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:

2.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))
21.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

series125.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ y (sin y))
29.0ms	(/ 1 (/ y (sin y)))
74.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

simplify1.3s

Counts

187 → 187

Iterations

Useful iterations: done (1.3s)

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

prune346.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sin y))
0.2b	(* (/ (cosh x) y) (/ (sqrt 1) (/ 1 (sin y))))
0.2b	(/ (cosh x) y)
0.3b	(/ (sqrt 1) (/ 1 (sin y)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

340×	`times-frac`
241×	`add-sqr-sqrt`
185×	`*-un-lft-identity`
173×	`add-cube-cbrt`
93×	`sqrt-prod`
83×	`associate-r`
54×	`add-exp-log`
34×	`add-cbrt-cube`
26×	`div-exp`
20×	`unswap-sqr`
19×	`associate-/r*`
18×	`div-inv`
14×	`cbrt-undiv`
13×	`associate-l`
12×	`associate-/l*`
10×	`prod-exp`
7×	`pow1`
6×	`cbrt-unprod`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/r/`
1×	`frac-times` `cosh-def` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 317

Calls

4 calls:

2.0ms	(/ 1 (sin y))
42.0ms	(* (/ (cosh x) y) (/ (sqrt 1) (/ 1 (sin y))))
2.0ms	(/ (cosh x) y)
10.0ms	(/ (sqrt 1) (/ 1 (sin y)))

series156.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ 1 (sin y))
78.0ms	(* (/ (cosh x) y) (/ (sqrt 1) (/ 1 (sin y))))
56.0ms	(/ (cosh x) y)
8.0ms	(/ (sqrt 1) (/ 1 (sin y)))

simplify1.4s

Counts

329 → 329

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	391	5158
1	1114	2838
2	2184	2650
done	5001	2638

prune642.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

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:

11.0ms	(/ 1 (* y (/ 1 (sin y))))
3.0ms	(/ 1 (sin y))
8.0ms	(* y (/ 1 (sin y)))
24.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))

series137.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ 1 (* y (/ 1 (sin y))))
13.0ms	(/ 1 (sin y))
25.0ms	(* y (/ 1 (sin y)))
74.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))

simplify3.0s

Counts

165 → 165

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	213	1764
1	527	1252
2	1257	1016
3	4473	1004
done	5001	1004

prune233.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes140.0ms

Accuracy

0% (0.1b 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	6	7
1	7	7
done	7	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

931.0ms	2957×	body	1280	valid
480.0ms	2446×	body	640	valid
380.0ms	8574×	body	80	valid
162.0ms	1192×	body	320	valid
55.0ms	602×	body	160	valid