Details

sample130.0ms

Algorithm

intervals

Results

38.0ms	60×	body	1280	valid
24.0ms	322×	body	80	valid
23.0ms	66×	body	640	valid
9.0ms	38×	body	320	valid
3.0ms	14×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
16.8b	(/ (* (sin x) (sinh y)) x)

rewrite45.0ms

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:

3.0ms	(sinh y)
19.0ms	(* (sin x) (sinh y))
21.0ms	(/ (* (sin x) (sinh y)) x)

series396.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(sinh y)
119.0ms	(* (sin x) (sinh y))
167.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.3s

Counts

58 → 58

Iterations

Iter	Nodes
done	5002
2	973
1	285
0	116

prune385.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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)
12.0ms	(/ (sinh y) (/ x (sin x)))
5.0ms	(/ x (sin x))

series232.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(sinh y)
112.0ms	(/ (sinh y) (/ x (sin x)))
49.0ms	(/ x (sin x))

simplify1.4s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
2	1521
1	503
0	204

prune643.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize20.0ms

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)
0.2b	(/ 1 (/ (sin x) x))

rewrite56.0ms

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)
18.0ms	(/ (sinh y) (/ 1 (/ (sin x) x)))
9.0ms	(/ (sin x) x)
8.0ms	(/ 1 (/ (sin x) x))

series373.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(sinh y)
158.0ms	(/ (sinh y) (/ 1 (/ (sin x) x)))
55.0ms	(/ (sin x) x)
62.0ms	(/ 1 (/ (sin x) x))

simplify3.9s

Counts

324 → 324

Iterations

Iter	Nodes
done	5001
2	3100
1	1312
0	500

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(/ 1 (sin x))
0.3b	(/ (/ (sinh y) x) (/ 1 (sin x)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

430×	`times-frac`
207×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
30×	`div-inv`
29×	`add-exp-log`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/r` `associate-/l`
9×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `1-exp` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`sinh-def` `associate-/r/` `pow-flip` `inv-pow` `associate-/l/`

Counts

3 → 258

Calls

3 calls:

2.0ms	(sinh y)
8.0ms	(/ 1 (sin x))
17.0ms	(/ (/ (sinh y) x) (/ 1 (sin x)))

series239.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(sinh y)
28.0ms	(/ 1 (sin x))
113.0ms	(/ (/ (sinh y) x) (/ 1 (sin x)))

simplify2.1s

Counts

267 → 267

Iterations

Iter	Nodes
done	5003
2	3323
1	1398
0	457

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes200.0ms

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

sample4.4s

Algorithm

intervals

Results

1.4s	10337×	body	80	valid
1.1s	1872×	body	1280	valid
787.0ms	2013×	body	640	valid
294.0ms	1125×	body	320	valid
140.0ms	621×	body	160	valid