Details

sample106.0ms

Algorithm

intervals

Results

34.0ms	83×	body	1280	valid
23.0ms	318×	body	80	valid
18.0ms	69×	body	640	valid
7.0ms	37×	body	320	valid
2.0ms	16×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4195
6	882
5	295
4	146
3	69
2	32
1	15
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(* (sin x) (sinh y))
12.8b	(/ (* (sin x) (sinh y)) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

1.0ms	(sinh y)
9.0ms	(* (sin x) (sinh y))
11.0ms	(/ (* (sin x) (sinh y)) x)

series345.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(sinh y)
140.0ms	(* (sin x) (sinh y))
133.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.2s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
2	1593
1	299
0	122

prune377.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

1.0ms	(sinh y)
6.0ms	(/ (sinh y) x)
14.0ms	(* (sin x) (/ (sinh y) x))

series340.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(sinh y)
108.0ms	(/ (sinh y) x)
147.0ms	(* (sin x) (/ (sinh y) x))

simplify1.4s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	1714
1	357
0	146

prune427.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.9b	(/ (sin x) (/ x (sinh y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 116

Calls

3 calls:

2.0ms	(sinh y)
7.0ms	(/ x (sinh y))
13.0ms	(/ (sin x) (/ x (sinh y)))

series370.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(sinh y)
140.0ms	(/ x (sinh y))
154.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.1s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
2	2810
1	553
0	221

prune777.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ 1 (sinh y))
0.1b	(/ (sin x) x)
0.2b	(/ (/ (sin x) x) (/ 1 (sinh y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 308

Calls

4 calls:

1.0ms	(sinh y)
5.0ms	(/ 1 (sinh y))
7.0ms	(/ (sin x) x)
29.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

series345.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sinh y)
110.0ms	(/ 1 (sinh y))
45.0ms	(/ (sin x) x)
110.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

simplify1.1s

Counts

320 → 320

Iterations

Iter	Nodes
done	5000
1	1580
0	507

prune1.3s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes315.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.3s	2031×	body	640	valid
987.0ms	1845×	body	1280	valid
940.0ms	10234×	body	80	valid
243.0ms	1117×	body	320	valid
92.0ms	624×	body	160	valid