Details

sample45.0ms

Algorithm

intervals

Results

14.0ms	37×	body	1280	valid
9.0ms	167×	body	80	valid
6.0ms	23×	body	640	valid
3.0ms	17×	body	320	valid
1.0ms	12×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
4	17
3	16
2	12
1	8
0	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 59

Calls

2 calls:

42.0ms	(* (/ (sin y) y) x)
13.0ms	(/ (sin y) y)

series114.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* (/ (sin y) y) x)
55.0ms	(/ (sin y) y)

simplify844.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	1128
1	234
0	100

prune323.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (/ y (sin y)))
0.1b	(* (/ 1 (/ y (sin y))) x)
0.1b	(/ y (sin y))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-l`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-r` `cbrt-unprod` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 175

Calls

3 calls:

13.0ms	(/ 1 (/ y (sin y)))
41.0ms	(* (/ 1 (/ y (sin y))) x)
8.0ms	(/ y (sin y))

series151.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ 1 (/ y (sin y)))
74.0ms	(* (/ 1 (/ y (sin y))) x)
38.0ms	(/ y (sin y))

simplify1.6s

Counts

184 → 184

Iterations

Iter	Nodes
done	5002
2	3643
1	655
0	237

prune785.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 97

Calls

2 calls:

11.0ms	(/ x (/ y (sin y)))
4.0ms	(/ y (sin y))

series120.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ x (/ y (sin y)))
46.0ms	(/ y (sin y))

simplify1.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1953
1	422
0	171

prune540.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (/ (/ 1 y) (/ 1 (sin y))) x)
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-l`
105×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
35×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
3×	`associate-r` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

3 → 477

Calls

3 calls:

103.0ms	(* (/ (/ 1 y) (/ 1 (sin y))) x)
10.0ms	(/ 1 (sin y))
29.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series123.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* (/ (/ 1 y) (/ 1 (sin y))) x)
25.0ms	(/ 1 (sin y))
36.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify1.2s

Counts

486 → 486

Iterations

Iter	Nodes
done	5000
1	2004
0	581

prune2.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
2	13
1	11
0	8

end0.0ms

sample2.1s

Algorithm

intervals

Results

593.0ms	5075×	body	80	valid
460.0ms	952×	body	1280	valid
386.0ms	1035×	body	640	valid
158.0ms	327×	body	160	valid
140.0ms	611×	body	320	valid