Details

sample99.0ms

Algorithm

intervals

Results

27.0ms	347×	body	80	valid
27.0ms	53×	body	1280	valid
18.0ms	52×	body	640	valid
7.0ms	30×	body	320	valid
3.0ms	15×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.5b	(/ (* (sin x) (sinh y)) x)

rewrite59.0ms

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*` `insert-posit16` `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 → 58

Calls

3 calls:

3.0ms	(sinh y)
25.0ms	(* (sin x) (sinh y))
29.0ms	(/ (* (sin x) (sinh y)) x)

series334.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(sinh y)
112.0ms	(* (sin x) (sinh y))
133.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.4s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
2	1013
1	297
0	125

prune416.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

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` `insert-posit16` `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 → 77

Calls

3 calls:

1.0ms	(sinh y)
9.0ms	(/ (sinh y) x)
32.0ms	(* (sin x) (/ (sinh y) x))

series353.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(sinh y)
130.0ms	(/ (sinh y) x)
143.0ms	(* (sin x) (/ (sinh y) x))

simplify2.6s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	3686
2	1058
1	362
0	149

prune386.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.6b	(/ (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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`

Counts

3 → 119

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(/ x (sinh y))
13.0ms	(/ (sin x) (/ x (sinh y)))

series400.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(sinh y)
154.0ms	(/ x (sinh y))
159.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.5s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	1683
1	546
0	224

prune571.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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` `sinh-def` `associate-/r` `associate-l` `insert-posit16` `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 → 78

Calls

3 calls:

1.0ms	(sinh y)
21.0ms	(* (sinh y) (/ (sin x) x))
17.0ms	(/ (sin x) x)

series281.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(sinh y)
124.0ms	(* (sinh y) (/ (sin x) x))
44.0ms	(/ (sin x) x)

simplify2.9s

Counts

87 → 87

Iterations

Iter	Nodes
done	5007
3	3893
2	1161
1	332
0	143

prune396.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes111.0ms

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

sample4.5s

Algorithm

intervals

Results

1.6s	1921×	body	1280	valid
1.2s	10470×	body	80	valid
889.0ms	1937×	body	640	valid
322.0ms	1114×	body	320	valid
97.0ms	558×	body	160	valid