Details

sample93.0ms

Algorithm

intervals

Results

22.0ms	59×	body	1280	valid
21.0ms	337×	body	80	valid
16.0ms	63×	body	640	valid
8.0ms	43×	body	320	valid
3.0ms	19×	body	160	valid

simplify11.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	32	7
3	69	7
4	146	7
5	287	7
6	519	7
7	1124	7
8	2229	7
9	3908	7
done	5000	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
15.8b	(/ (* (sin x) (sinh y)) x)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

2.0ms	(sinh y)
18.0ms	(* (sin x) (sinh y))
27.0ms	(/ (* (sin x) (sinh y)) x)

series322.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(sinh y)
106.0ms	(* (sin x) (sinh y))
138.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.4s

Counts

64 → 64

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	123	572
1	282	546
2	1023	475
done	5000	455

prune204.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) x)
0.2b	(* (sin x) (/ (sinh y) x))

rewrite38.0ms

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

Counts

3 → 74

Calls

3 calls:

2.0ms	(sinh y)
7.0ms	(/ (sinh y) x)
27.0ms	(* (sin x) (/ (sinh y) x))

series381.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(sinh y)
126.0ms	(/ (sinh y) x)
152.0ms	(* (sin x) (/ (sinh y) x))

simplify2.4s

Counts

83 → 83

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	146	770
1	332	727
2	1054	656
3	3540	655
done	5001	642

prune190.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.5b	(/ (sin x) (/ x (sinh y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 116

Calls

3 calls:

1.0ms	(sinh y)
9.0ms	(/ x (sinh y))
14.0ms	(/ (sin x) (/ x (sinh y)))

series288.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(sinh y)
117.0ms	(/ x (sinh y))
105.0ms	(/ (sin x) (/ x (sinh y)))

simplify3.1s

Counts

125 → 125

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	221	1576
1	467	1485
2	1470	1406
3	4907	1388
done	5000	1387

prune543.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.2b	(/ (/ x (sinh y)) (sin x))
0.5b	(/ 1 (/ (/ x (sinh y)) (sin x)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

501×	`times-frac`
246×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
52×	`associate-/r*`
32×	`add-exp-log`
23×	`div-inv`
20×	`add-cbrt-cube` `associate-/l*`
19×	`div-exp`
18×	`sinh-def` `associate-/r/`
10×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

4 → 330

Calls

4 calls:

3.0ms	(sinh y)
11.0ms	(/ x (sinh y))
26.0ms	(/ (/ x (sinh y)) (sin x))
49.0ms	(/ 1 (/ (/ x (sinh y)) (sin x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

121.0ms	(sinh y)
192.0ms	(/ x (sinh y))
230.0ms	(/ (/ x (sinh y)) (sin x))
600.0ms	(/ 1 (/ (/ x (sinh y)) (sin x)))

simplify2.3s

Counts

342 → 342

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	520	6096
1	1178	5349
2	2460	4710
done	5001	4647

prune951.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.6s	10330×	body	80	valid
1.2s	1898×	body	1280	valid
771.0ms	1955×	body	640	valid
421.0ms	1092×	body	320	valid
94.0ms	562×	body	160	valid