Details

sample71.0ms

Algorithm

intervals

Results

25.0ms	38×	body	1280	valid
13.0ms	186×	body	80	valid
12.0ms	37×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	8×	body	160	valid

simplify38.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	79
5	79
4	71
3	48
2	24
1	12
0	7

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.6b	(/ (* x (/ (sin y) y)) z)

rewrite457.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

13.0ms	(* x (/ (sin y) y))
6.0ms	(/ (sin y) y)
436.0ms	(/ (* x (/ (sin y) y)) z)

series175.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* x (/ (sin y) y))
34.0ms	(/ (sin y) y)
81.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.0s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1724
1	346
0	139

prune433.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(/ x (/ y (sin y)))
0.6b	(/ 1 (/ z (/ x (/ y (sin y)))))
2.5b	(/ z (/ x (/ y (sin y))))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

2211×	`times-frac`
977×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
197×	`associate-/r*`
76×	`div-inv`
54×	`add-exp-log`
36×	`div-exp`
34×	`add-cbrt-cube`
23×	`associate-/r/`
20×	`cbrt-undiv`
12×	`associate-/l*`
5×	`pow1`
4×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

4 → 873

Calls

4 calls:

7.0ms	(/ y (sin y))
15.0ms	(/ x (/ y (sin y)))
65.0ms	(/ 1 (/ z (/ x (/ y (sin y)))))
21.0ms	(/ z (/ x (/ y (sin y))))

series385.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ y (sin y))
79.0ms	(/ x (/ y (sin y)))
128.0ms	(/ 1 (/ z (/ x (/ y (sin y)))))
137.0ms	(/ z (/ x (/ y (sin y))))

simplify3.3s

Counts

885 → 885

Iterations

Iter	Nodes
done	5001
1	3937
0	1299

prune4.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sin y))
0.2b	(/ 1 (/ x (* z (/ y (sin y)))))
0.6b	(/ 1 (/ 1 (/ x (* z (/ y (sin y))))))
3.1b	(/ x (* z (/ y (sin y))))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

267×	`times-frac`
167×	`add-exp-log`
121×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
111×	`div-exp`
49×	`add-cbrt-cube`
41×	`associate-/r*`
29×	`rec-exp` `1-exp`
26×	`cbrt-undiv` `prod-exp`
24×	`div-inv`
23×	`associate-/r/`
17×	`associate-*r/`
12×	`associate-/l*`
7×	`pow1`
6×	`cbrt-unprod`
5×	`pow-flip`
4×	`clear-num` `frac-2neg` `add-log-exp`
3×	`inv-pow`
1×	`remove-double-div`

Counts

4 → 294

Calls

4 calls:

9.0ms	(/ y (sin y))
34.0ms	(/ 1 (/ x (* z (/ y (sin y)))))
74.0ms	(/ 1 (/ 1 (/ x (* z (/ y (sin y))))))
17.0ms	(/ x (* z (/ y (sin y))))

series433.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ y (sin y))
145.0ms	(/ 1 (/ x (* z (/ y (sin y)))))
120.0ms	(/ 1 (/ 1 (/ x (* z (/ y (sin y))))))
115.0ms	(/ x (* z (/ y (sin y))))

simplify760.0ms

Counts

306 → 306

Iterations

Iter	Nodes
done	5001
1	1124
0	404

prune743.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

3.0b	(* x (/ (sin y) (* y z)))
4.7b	(/ (sin y) (* y z))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

23.0ms	(* x (/ (sin y) (* y z)))
19.0ms	(/ (sin y) (* y z))

series139.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(* x (/ (sin y) (* y z)))
50.0ms	(/ (sin y) (* y z))

simplify676.0ms

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
2	1340
1	248
0	98

prune296.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes486.0ms

Accuracy

91% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.7b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	22
1	22
0	16

end0.0ms

sample2.7s

Algorithm

intervals

Results

854.0ms	1014×	body	640	valid
639.0ms	5892×	body	80	valid
595.0ms	990×	body	1280	valid
141.0ms	570×	body	320	valid
53.0ms	292×	body	160	valid