Details

sample97.0ms

Algorithm

intervals

Results

23.0ms	38×	body	320	valid
21.0ms	60×	body	1280	valid
17.0ms	322×	body	80	valid
15.0ms	66×	body	640	valid
2.0ms	14×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize24.0ms

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)

rewrite26.0ms

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

series327.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(sinh y)
99.0ms	(* (sin x) (sinh y))
147.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.4s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
2	1593
1	299
0	122

prune377.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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:

2.0ms	(sinh y)
24.0ms	(* (sin x) (/ (sinh y) x))

series230.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify1.2s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
2	1499
1	290
0	112

prune387.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

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)
8.0ms	(/ x (sinh y))
27.0ms	(/ (sin x) (/ x (sinh y)))

series377.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(sinh y)
161.0ms	(/ x (sinh y))
121.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.5s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
2	2810
1	553
0	221

prune789.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

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:

2.0ms	(sinh y)
18.0ms	(* (/ (sin x) x) (sinh y))
9.0ms	(/ (sin x) x)

series296.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(sinh y)
142.0ms	(* (/ (sin x) x) (sinh y))
47.0ms	(/ (sin x) x)

simplify1.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1460
1	335
0	140

prune499.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes178.0ms

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

sample4.6s

Algorithm

intervals

Results

1.5s	10337×	body	80	valid
1.2s	2013×	body	640	valid
1.1s	1872×	body	1280	valid
335.0ms	1125×	body	320	valid
96.0ms	621×	body	160	valid