Details

sample78.0ms

Algorithm

intervals

Results

30.0ms	95×	body	1280	valid
17.0ms	91×	body	640	valid
12.0ms	290×	body	80	valid
5.0ms	35×	body	320	valid
1.0ms	17×	body	160	valid

simplify5.2s

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	94	7
5	132	7
6	246	7
7	512	7
8	1100	7
9	1868	7
10	3756	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

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))

series105.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (sin y) y)
78.0ms	(* (cosh x) (/ (sin y) y))

simplify702.0ms

Counts

67 → 67

Iterations

Useful iterations: done (700.0ms)

Iter	Nodes	Cost
0	120	663
1	262	632
2	914	568
done	5001	552

prune161.0ms

Pruning

9 alts after pruning (9 fresh and 0 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))))

rewrite38.0ms

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

series126.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ y (sin y))
29.0ms	(/ 1 (/ y (sin y)))
75.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

simplify773.0ms

Counts

187 → 187

Iterations

Useful iterations: done (768.0ms)

Iter	Nodes	Cost
0	259	2334
1	616	1858
2	1732	1611
done	5001	1603

prune349.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `prod-exp`
7×	`pow1`
5×	`cbrt-unprod`
3×	`associate-r/` `div-exp` `associate-l` `pow-prod-down` `associate-/r` `associate-/l*`
2×	`cbrt-undiv` `cosh-def` `1-exp` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r` `associate-l/` `clear-num` `-commutative` `div-inv`

Counts

2 → 52

Calls

2 calls:

3.0ms	(/ (sin y) y)
14.0ms	(* (cosh x) (* 1 (/ (sin y) y)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (sin y) y)
71.0ms	(* (cosh x) (* 1 (/ (sin y) y)))

simplify2.9s

Counts

58 → 58

Iterations

Useful iterations: 3 (813.0ms)

Iter	Nodes	Cost
0	126	629
1	283	542
2	866	462
3	4822	446
done	5000	446

prune131.0ms

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) (/ (cbrt 1) (/ 1 (sin y))))
0.2b	(/ (cosh x) y)
0.3b	(/ (cbrt 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×	`cbrt-prod`
83×	`associate-r`
54×	`add-exp-log`
28×	`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))
48.0ms	(* (/ (cosh x) y) (/ (cbrt 1) (/ 1 (sin y))))
2.0ms	(/ (cosh x) y)
7.0ms	(/ (cbrt 1) (/ 1 (sin y)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ 1 (sin y))
77.0ms	(* (/ (cosh x) y) (/ (cbrt 1) (/ 1 (sin y))))
60.0ms	(/ (cosh x) y)
8.0ms	(/ (cbrt 1) (/ 1 (sin y)))

simplify1.0s

Counts

329 → 329

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	417	5116
1	1209	2844
2	2328	2638
done	5001	2626

prune463.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes111.0ms

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

895.0ms	2957×	body	1280	valid
474.0ms	2446×	body	640	valid
369.0ms	8574×	body	80	valid
155.0ms	1192×	body	320	valid
53.0ms	602×	body	160	valid