Details

sample153.0ms

Algorithm

intervals

Results

37.0ms	89×	body	640	valid
37.0ms	62×	body	1280	valid
29.0ms	318×	body	80	valid
13.0ms	47×	body	320	valid
5.0ms	25×	body	160	valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1834
6	652
5	258
4	130
3	62
2	30
1	15
0	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
10.1b	(/ (* (sin x) (sinh y)) x)

rewrite58.0ms

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:

3.0ms	(sinh y)
25.0ms	(* (sin x) (sinh y))
28.0ms	(/ (* (sin x) (sinh y)) x)

series531.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(sinh y)
161.0ms	(* (sin x) (sinh y))
261.0ms	(/ (* (sin x) (sinh y)) x)

simplify2.0s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	984
1	297
0	123

prune573.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite61.0ms

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:

4.0ms	(sinh y)
15.0ms	(/ (sinh y) x)
37.0ms	(* (sin x) (/ (sinh y) x))

series640.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(sinh y)
143.0ms	(/ (sinh y) x)
375.0ms	(* (sin x) (/ (sinh y) x))

simplify9.5s

Counts

83 → 83

Iterations

Iter	Nodes
done	5003
3	3640
2	1067
1	357
0	146

prune777.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
0.8b	(/ (sin x) (/ x (sinh y)))

rewrite54.0ms

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:

11.0ms	(/ x (sinh y))
3.0ms	(sinh y)
30.0ms	(/ (sin x) (/ x (sinh y)))

series787.0ms

Counts

3 → 9

Calls

3 calls:

348.0ms	(/ x (sinh y))
236.0ms	(sinh y)
188.0ms	(/ (sin x) (/ x (sinh y)))

simplify6.8s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	1575
1	545
0	221

prune1.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

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` `sinh-def` `associate-l` `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` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 75

Calls

3 calls:

3.0ms	(sinh y)
46.0ms	(* (sinh y) (/ (sin x) x))
20.0ms	(/ (sin x) x)

series345.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(sinh y)
161.0ms	(* (sinh y) (/ (sin x) x))
64.0ms	(/ (sin x) x)

simplify15.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	3798
2	1126
1	330
0	140

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes642.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample20.3s

Algorithm

intervals

Results

7.3s	1828×	body	1280	valid
5.9s	1973×	body	640	valid
5.4s	10297×	body	80	valid
895.0ms	1099×	body	320	valid
203.0ms	579×	body	160	valid