Details

sample133.0ms

Algorithm

intervals

Results

53.0ms	96×	body	1280	valid
22.0ms	71×	body	640	valid
18.0ms	249×	body	80	valid
12.0ms	48×	body	320	valid
4.0ms	28×	body	160	valid

simplify7.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	28	7
3	56	7
4	100	7
5	145	7
6	223	7
7	419	7
8	1004	7
9	1898	7
10	2239	7
11	2341	7
done	2341	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`expm1-log1p-u` `cosh-def` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 75

Calls

3 calls:

1.0ms	(cosh x)
16.0ms	(* (cosh x) (/ (sin y) y))
14.0ms	(/ (sin y) y)

series182.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(cosh x)
93.0ms	(* (cosh x) (/ (sin y) y))
27.0ms	(/ (sin y) y)

simplify2.5s

Counts

84 → 84

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	136	761
1	290	725
2	917	657
3	3192	655
done	5000	643

prune296.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (log1p (expm1 (/ (sin y) y))))
0.1b	(/ (sin y) y)
0.4b	(expm1 (/ (sin y) y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`cosh-def`
1×	`cbrt-undiv` `expm1-log1p` `frac-2neg` `div-exp` `pow-prod-down` `associate-l/` `prod-exp` `clear-num` `-commutative` `cbrt-unprod` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

2.0ms	(cosh x)
12.0ms	(* (cosh x) (log1p (expm1 (/ (sin y) y))))
12.0ms	(/ (sin y) y)
1.0ms	(expm1 (/ (sin y) y))

series290.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(cosh x)
136.0ms	(* (cosh x) (log1p (expm1 (/ (sin y) y))))
32.0ms	(/ (sin y) y)
61.0ms	(expm1 (/ (sin y) y))

simplify1.8s

Counts

83 → 83

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	155	793
1	311	706
2	834	643
3	2885	641
done	5000	635

prune318.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
104×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`cosh-def` `associate-l` `cbrt-unprod`
2×	`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

4 → 194

Calls

4 calls:

1.0ms	(cosh x)
36.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
10.0ms	(/ y (sin y))
12.0ms	(/ 1 (/ y (sin y)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(cosh x)
106.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
33.0ms	(/ y (sin y))
32.0ms	(/ 1 (/ y (sin y)))

simplify3.1s

Counts

206 → 206

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	277	2450
1	619	1963
2	1493	1708
3	4708	1664
done	5000	1664

prune510.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
0.2b	(/ 1 (sin y))
0.3b	(/ (/ 1 y) (/ 1 (sin y)))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
427×	`add-sqr-sqrt`
398×	`*-un-lft-identity`
392×	`add-cube-cbrt`
174×	`associate-r`
106×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
36×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
7×	`pow1`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cosh-def` `associate-l`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 495

Calls

4 calls:

2.0ms	(cosh x)
82.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
11.0ms	(/ 1 (sin y))
21.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series245.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cosh x)
120.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
23.0ms	(/ 1 (sin y))
50.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify2.5s

Counts

507 → 507

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	642	8671
1	1667	6057
2	3242	5160
done	5000	5078

prune1.0s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

regimes223.0ms

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: 0 (0.0ms)

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

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.3s	2940×	body	1280	valid
1.0s	2474×	body	640	valid
706.0ms	8506×	body	80	valid
303.0ms	1218×	body	320	valid
93.0ms	631×	body	160	valid