Details

sample210.0ms

Algorithm

intervals

Results

80.0ms	110×	body	1280	valid
36.0ms	293×	body	80	valid
35.0ms	63×	body	640	valid
34.0ms	35×	body	320	valid
5.0ms	18×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
7	1809
6	607
5	236
4	126
3	65
2	30
1	15
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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×	`associate-/r` `associate-l` `insert-posit16` `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 → 71

Calls

3 calls:

2.0ms	(sinh y)
6.0ms	(/ (sinh y) y)
13.0ms	(* (sin x) (/ (sinh y) y))

series478.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(sinh y)
184.0ms	(/ (sinh y) y)
192.0ms	(* (sin x) (/ (sinh y) y))

simplify2.3s

Counts

80 → 80

Iterations

Iter	Nodes
done	5003
3	3683
2	1057
1	346
0	143

prune411.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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×	`pow1` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg`

Counts

3 → 113

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(/ y (sinh y))
13.0ms	(/ (sin x) (/ y (sinh y)))

series373.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(sinh y)
140.0ms	(/ y (sinh y))
136.0ms	(/ (sin x) (/ y (sinh y)))

simplify1.5s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1703
1	549
0	222

prune609.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

30×	`times-frac`
29×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`cbrt-div`
10×	`frac-times` `associate-/r` `associate-l/` `add-exp-log`
9×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
6×	`associate-*r/`
5×	`cbrt-prod`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
2×	`sinh-def`
1×	`pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 115

Calls

4 calls:

9.0ms	(/ y (sinh y))
9.0ms	(/ y (sinh y))
10.0ms	(/ (sin x) (cbrt (* (* (/ y (sinh y)) (/ y (sinh y))) (/ y (sinh y)))))
47.0ms	(cbrt (* (* (/ y (sinh y)) (/ y (sinh y))) (/ y (sinh y))))

series658.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(/ y (sinh y))
144.0ms	(/ y (sinh y))
187.0ms	(/ (sin x) (cbrt (* (* (/ y (sinh y)) (/ y (sinh y))) (/ y (sinh y)))))
172.0ms	(cbrt (* (* (/ y (sinh y)) (/ y (sinh y))) (/ y (sinh y))))

simplify2.2s

Counts

127 → 127

Iterations

Iter	Nodes
done	5015
3	3232
2	1054
1	368
0	180

prune709.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (sinh y))
0.0b	(/ y (sinh y))
0.0b	(cbrt (* (* (/ y (sinh y)) (/ y (sinh y))) (/ y (sinh y))))
0.0b	(cbrt (* (* (/ y (sinh y)) (/ y (sinh y))) (/ y (sinh y))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
14×	`cbrt-div`
10×	`frac-times` `associate-*l/`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `associate-r/` `associate-/l*`
4×	`pow1` `insert-posit16` `add-log-exp`
2×	`cbrt-prod` `cbrt-undiv` `sinh-def` `clear-num` `frac-2neg` `pow1/3` `div-exp` `pow3` `associate-/r/` `rem-cbrt-cube` `div-inv`

Counts

4 → 94

Calls

4 calls:

5.0ms	(/ y (sinh y))
4.0ms	(/ y (sinh y))
38.0ms	(cbrt (* (* (/ y (sinh y)) (/ y (sinh y))) (/ y (sinh y))))
38.0ms	(cbrt (* (* (/ y (sinh y)) (/ y (sinh y))) (/ y (sinh y))))

series699.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(/ y (sinh y))
163.0ms	(/ y (sinh y))
161.0ms	(cbrt (* (* (/ y (sinh y)) (/ y (sinh y))) (/ y (sinh y))))
185.0ms	(cbrt (* (* (/ y (sinh y)) (/ y (sinh y))) (/ y (sinh y))))

simplify2.0s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
3	2151
2	547
1	213
0	106

prune819.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes129.0ms

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	10
1	10
0	9

end0.0ms

sample7.8s

Algorithm

intervals

Results

2.9s	3059×	body	1280	valid
2.3s	2422×	body	640	valid
1.2s	8614×	body	80	valid
748.0ms	1258×	body	320	valid
207.0ms	655×	body	160	valid