Details

sample33.0ms

Algorithm

intervals

Results

7.0ms	28×	body	1280	valid
6.0ms	174×	body	80	valid
5.0ms	28×	body	640	valid
5.0ms	15×	body	320	valid
1.0ms	11×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	12	6
3	16	6
4	17	6
done	17	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

14.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)

series86.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* x (/ (sin y) y))
31.0ms	(/ (sin y) y)

simplify3.2s

Counts

65 → 65

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	98	571
1	208	545
2	562	493
3	1529	493
4	4620	493
done	5000	493

prune128.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
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×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

16.0ms	(* (/ (sin y) y) x)
8.0ms	(/ (sin y) y)

series69.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* (/ (sin y) y) x)
29.0ms	(/ (sin y) y)

simplify3.3s

Counts

65 → 65

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	100	554
1	215	540
2	589	486
3	1663	486
done	5000	486

prune138.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
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-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 176

Calls

3 calls:

34.0ms	(* x (/ 1 (/ y (sin y))))
5.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))

series107.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* x (/ 1 (/ y (sin y))))
28.0ms	(/ y (sin y))
26.0ms	(/ 1 (/ y (sin y)))

simplify1.6s

Counts

185 → 185

Iterations

Useful iterations: 3 (802.0ms)

Iter	Nodes	Cost
0	238	2193
1	534	1726
2	1063	1493
3	2914	1475
done	5000	1475

prune299.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-r`
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-l` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

3 → 477

Calls

3 calls:

72.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
9.0ms	(/ 1 (sin y))
19.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series102.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
14.0ms	(/ 1 (sin y))
33.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify1.5s

Counts

486 → 486

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	603	8246
1	1583	5655
2	2682	4793
done	5000	4713

prune613.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	10	8
done	10	8

end0.0ms

sample865.0ms

Algorithm

intervals

Results

221.0ms	923×	body	1280	valid
196.0ms	5265×	body	80	valid
151.0ms	945×	body	640	valid
59.0ms	542×	body	320	valid
31.0ms	325×	body	160	valid