Details

sample174.0ms

Algorithm

intervals

Results

60.0ms	89×	body	1280	valid
35.0ms	80×	body	640	valid
27.0ms	260×	body	80	valid
15.0ms	48×	body	320	valid
5.0ms	25×	body	160	valid

simplify8.8s

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: 0.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
0.5b	(* (cosh x) (/ (sin y) y))

rewrite31.0ms

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:

9.0ms	(/ (sin y) y)
20.0ms	(* (cosh x) (/ (sin y) y))

series177.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (sin y) y)
143.0ms	(* (cosh x) (/ (sin y) y))

simplify2.4s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.2s)

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

prune271.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (/ (sin y) y))
0.0b	(expm1 (log1p (/ (sin y) y)))
0.1b	(/ (sin y) y)
0.5b	(* (cosh x) (expm1 (log1p (/ (sin y) y))))

rewrite33.0ms

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

Counts

4 → 72

Calls

4 calls:

1.0ms	(log1p (/ (sin y) y))
1.0ms	(expm1 (log1p (/ (sin y) y)))
17.0ms	(/ (sin y) y)
12.0ms	(* (cosh x) (expm1 (log1p (/ (sin y) y))))

series447.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(log1p (/ (sin y) y))
203.0ms	(expm1 (log1p (/ (sin y) y)))
40.0ms	(/ (sin y) y)
142.0ms	(* (cosh x) (expm1 (log1p (/ (sin y) y))))

simplify2.0s

Counts

84 → 84

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	146	828
1	277	722
2	763	655
3	2713	649
done	5001	645

prune333.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 1/2 (sin y)) (+ (exp x) (exp (- x))))
0.6b	(/ (* (* 1/2 (sin y)) (+ (exp x) (exp (- x)))) y)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `*-un-lft-identity`
6×	`prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-r/` `associate-r*`
3×	`cbrt-undiv` `times-frac` `div-exp` `pow-prod-down` `associate-/r*`
2×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-l` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l`

Counts

2 → 52

Calls

2 calls:

50.0ms	(* (* 1/2 (sin y)) (+ (exp x) (exp (- x))))
62.0ms	(/ (* (* 1/2 (sin y)) (+ (exp x) (exp (- x)))) y)

series185.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(* (* 1/2 (sin y)) (+ (exp x) (exp (- x))))
83.0ms	(/ (* (* 1/2 (sin y)) (+ (exp x) (exp (- x)))) y)

simplify955.0ms

Counts

58 → 58

Iterations

Useful iterations: done (953.0ms)

Iter	Nodes	Cost
0	131	967
1	364	907
2	1759	756
done	5000	751

prune262.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ y (sin y))
0.2b	(/ 1 (/ y (sin y)))
0.5b	(* (cosh x) (/ 1 (/ y (sin y))))

rewrite74.0ms

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))
19.0ms	(/ 1 (/ y (sin y)))
41.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

series176.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ y (sin y))
33.0ms	(/ 1 (/ y (sin y)))
98.0ms	(* (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

prune513.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.5b

regimes266.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	14	13
done	14	13

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.6s	2909×	body	1280	valid
1.2s	8447×	body	80	valid
746.0ms	2394×	body	640	valid
419.0ms	631×	body	160	valid
268.0ms	1291×	body	320	valid