Details

sample87.0ms

Algorithm

intervals

Results

23.0ms	356×	body	80	valid
21.0ms	53×	body	1280	valid
15.0ms	56×	body	640	valid
6.0ms	32×	body	320	valid
3.0ms	19×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1703
6	620
5	247
4	128
3	62
2	30
1	15
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.6b	(/ (* (sin x) (sinh y)) x)

rewrite39.0ms

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

Calls

3 calls:

2.0ms	(sinh y)
18.0ms	(* (sin x) (sinh y))
17.0ms	(/ (* (sin x) (sinh y)) x)

series409.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(sinh y)
160.0ms	(* (sin x) (sinh y))
144.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.0s

Counts

58 → 58

Iterations

Iter	Nodes
done	5002
2	973
1	285
0	116

prune311.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `add-log-exp`
2×	`sinh-def` `clear-num` `frac-2neg`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 106

Calls

3 calls:

1.0ms	(sinh y)
10.0ms	(/ (sinh y) (/ x (sin x)))
4.0ms	(/ x (sin x))

series223.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(sinh y)
94.0ms	(/ (sinh y) (/ x (sin x)))
31.0ms	(/ x (sin x))

simplify1.2s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
2	1521
1	503
0	204

prune501.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.1b	(/ (sinh y) (/ 1 (/ (sin x) x)))
0.1b	(/ (sin x) x)
0.1b	(/ 1 (/ (sin x) x))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
239×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
60×	`associate-/r*`
36×	`add-exp-log`
23×	`div-inv`
22×	`div-exp`
20×	`add-cbrt-cube`
10×	`cbrt-undiv`
9×	`associate-/l*`
6×	`associate-/r/`
5×	`pow1`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`sinh-def`
1×	`pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 312

Calls

4 calls:

1.0ms	(sinh y)
33.0ms	(/ (sinh y) (/ 1 (/ (sin x) x)))
10.0ms	(/ (sin x) x)
13.0ms	(/ 1 (/ (sin x) x))

series298.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(sinh y)
130.0ms	(/ (sinh y) (/ 1 (/ (sin x) x)))
43.0ms	(/ (sin x) x)
31.0ms	(/ 1 (/ (sin x) x))

simplify3.1s

Counts

324 → 324

Iterations

Iter	Nodes
done	5001
2	3100
1	1312
0	500

prune1.3s

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

rewrite43.0ms

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×	`sinh-def` `associate-/r` `associate-l` `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 → 69

Calls

3 calls:

2.0ms	(sinh y)
27.0ms	(* (sinh y) (/ (sin x) x))
11.0ms	(/ (sin x) x)

series313.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(sinh y)
163.0ms	(* (sinh y) (/ (sin x) x))
59.0ms	(/ (sin x) x)

simplify2.3s

Counts

78 → 78

Iterations

Iter	Nodes
done	5032
3	3565
2	1096
1	320
0	134

prune315.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes185.0ms

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	10
1	10
0	8

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.7s	10434×	body	80	valid
997.0ms	1881×	body	1280	valid
640.0ms	1968×	body	640	valid
261.0ms	1159×	body	320	valid
74.0ms	571×	body	160	valid