Details

sample153.0ms

Algorithm

intervals

Results

37.0ms	62×	body	1280	valid
36.0ms	89×	body	640	valid
29.0ms	318×	body	80	valid
13.0ms	47×	body	320	valid
5.0ms	25×	body	160	valid

simplify7.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1749
6	625
5	248
4	128
3	62
2	30
1	15
0	6

prune46.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize105.0ms

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)

rewrite97.0ms

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×	`sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `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 → 49

Calls

3 calls:

2.0ms	(sinh y)
28.0ms	(* (sin x) (sinh y))
64.0ms	(/ (* (sin x) (sinh y)) x)

series1.4s

Counts

3 → 9

Calls

3 calls:

409.0ms	(sinh y)
458.0ms	(* (sin x) (sinh y))
491.0ms	(/ (* (sin x) (sinh y)) x)

simplify5.6s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
2	966
1	288
0	117

prune623.0ms

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))

rewrite68.0ms

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×	`associate-l` `associate-/r` `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 → 68

Calls

3 calls:

3.0ms	(sinh y)
18.0ms	(/ (sinh y) x)
42.0ms	(* (sin x) (/ (sinh y) x))

series702.0ms

Counts

3 → 9

Calls

3 calls:

306.0ms	(sinh y)
141.0ms	(/ (sinh y) x)
243.0ms	(* (sin x) (/ (sinh y) x))

simplify7.5s

Counts

77 → 77

Iterations

Iter	Nodes
done	5016
3	3478
2	1017
1	342
0	140

prune933.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

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` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 110

Calls

3 calls:

11.0ms	(/ x (sinh y))
3.0ms	(sinh y)
27.0ms	(/ (sin x) (/ x (sinh y)))

series504.0ms

Counts

3 → 9

Calls

3 calls:

202.0ms	(/ x (sinh y))
113.0ms	(sinh y)
187.0ms	(/ (sin x) (/ x (sinh y)))

simplify3.8s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	1562
1	526
0	215

prune1.4s

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`sinh-def` `associate-r` `associate-/r` `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 → 69

Calls

3 calls:

3.0ms	(sinh y)
36.0ms	(* (/ (sin x) x) (sinh y))
40.0ms	(/ (sin x) x)

series397.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(sinh y)
222.0ms	(* (/ (sin x) x) (sinh y))
60.0ms	(/ (sin x) x)

simplify7.5s

Counts

78 → 78

Iterations

Iter	Nodes
done	5055
3	3716
2	1067
1	328
0	134

prune766.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes479.0ms

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

sample24.0s

Algorithm

intervals

Results

11.5s	10297×	body	80	valid
5.5s	1828×	body	1280	valid
3.6s	1973×	body	640	valid
1.8s	1099×	body	320	valid
714.0ms	579×	body	160	valid