Details

sample92.0ms

Algorithm

intervals

Results

36.0ms	104×	body	1280	valid
14.0ms	73×	body	640	valid
13.0ms	266×	body	80	valid
5.0ms	33×	body	320	valid
2.0ms	21×	body	160	valid

simplify7.9s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
0.3b	(* (cosh x) (/ (sin y) y))

rewrite32.0ms

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` `expm1-log1p-u` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 65

Calls

2 calls:

8.0ms	(/ (sin y) y)
21.0ms	(* (cosh x) (/ (sin y) y))

series156.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (sin y) y)
121.0ms	(* (cosh x) (/ (sin y) y))

simplify2.4s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	124	689
1	263	656
2	863	592
3	3123	590
done	5000	590

prune251.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

52.0ms	(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ (sin y) y)))
9.0ms	(/ (sin y) y)
2.0ms	(sqrt (cosh x))
2.0ms	(sqrt (cosh x))

series350.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ (sin y) y)))
44.0ms	(/ (sin y) y)
72.0ms	(sqrt (cosh x))
107.0ms	(sqrt (cosh x))

simplify2.4s

Counts

105 → 105

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	155	1092
1	325	899
2	875	786
3	2747	782
done	5000	782

prune413.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite97.0ms

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×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `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 → 184

Calls

3 calls:

6.0ms	(/ y (sin y))
16.0ms	(/ 1 (/ y (sin y)))
58.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

series176.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ y (sin y))
28.0ms	(/ 1 (/ y (sin y)))
125.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

simplify3.1s

Counts

193 → 193

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	265	2378
1	592	1894
2	1437	1643
3	4620	1611
done	5000	1611

prune545.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
0.3b	(* (cosh x) (/ (sin y) y))

rewrite45.0ms

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` `expm1-log1p-u` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 65

Calls

2 calls:

15.0ms	(/ (sin y) y)
27.0ms	(* (cosh x) (/ (sin y) y))

series138.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (sin y) y)
95.0ms	(* (cosh x) (/ (sin y) y))

simplify2.3s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	124	689
1	263	656
2	863	592
3	3123	590
done	5000	590

prune168.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

regimes207.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.3s	2960×	body	1280	valid
546.0ms	2488×	body	640	valid
426.0ms	8505×	body	80	valid
176.0ms	1202×	body	320	valid
67.0ms	593×	body	160	valid