Details

sample103.0ms

Algorithm

intervals

Results

29.0ms	60×	body	1280	valid
22.0ms	322×	body	80	valid
20.0ms	66×	body	640	valid
9.0ms	38×	body	320	valid
2.0ms	14×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	1834
6	655
5	258
4	130
3	62
2	30
1	15
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
16.8b	(/ (* (sin x) (sinh y)) x)

rewrite36.0ms

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:

2.0ms	(sinh y)
18.0ms	(* (sin x) (sinh y))
13.0ms	(/ (* (sin x) (sinh y)) x)

series451.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(sinh y)
156.0ms	(* (sin x) (sinh y))
183.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1010
1	294
0	122

prune351.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

1.0ms	(sinh y)
21.0ms	(* (sin x) (/ (sinh y) x))

series265.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(sinh y)
156.0ms	(* (sin x) (/ (sinh y) x))

simplify2.2s

Counts

50 → 50

Iterations

Iter	Nodes
done	5010
3	3326
2	908
1	290
0	112

prune278.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:

1.0ms	(sinh y)
4.0ms	(/ x (sinh y))
13.0ms	(/ (sin x) (/ x (sinh y)))

series472.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(sinh y)
185.0ms	(/ x (sinh y))
172.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.9s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	1673
1	545
0	221

prune628.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

1.0ms	(sinh y)
25.0ms	(* (/ (sin x) x) (sinh y))
10.0ms	(/ (sin x) x)

series226.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(sinh y)
119.0ms	(* (/ (sin x) x) (sinh y))
37.0ms	(/ (sin x) x)

simplify2.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5089
3	3674
2	1029
1	335
0	140

prune368.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.3s	10337×	body	80	valid
898.0ms	1872×	body	1280	valid
640.0ms	2013×	body	640	valid
214.0ms	1125×	body	320	valid
83.0ms	621×	body	160	valid