Details

sample38.0ms

Algorithm

intervals

Results

8.0ms	28×	body	1280	valid
8.0ms	161×	body	80	valid
7.0ms	36×	body	640	valid
3.0ms	23×	body	320	valid
1.0ms	8×	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: 0.2b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:

28.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)

series102.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* x (/ (sin y) y))
29.0ms	(/ (sin y) y)

simplify4.6s

Counts

65 → 65

Iterations

Useful iterations: 2 (90.0ms)

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

prune158.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

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:

6.0ms	(/ y (sin y))
40.0ms	(* x (/ 1 (/ y (sin y))))
12.0ms	(/ 1 (/ y (sin y)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ y (sin y))
101.0ms	(* x (/ 1 (/ y (sin y))))
30.0ms	(/ 1 (/ y (sin y)))

simplify2.9s

Counts

185 → 185

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	238	2193
1	534	1726
2	1066	1493
3	2937	1475
done	5000	1475

prune547.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 97

Calls

2 calls:

17.0ms	(/ y (sin y))
20.0ms	(/ x (/ y (sin y)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ y (sin y))
62.0ms	(/ x (/ y (sin y)))

simplify2.4s

Counts

103 → 103

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	171	1246
1	350	1170
2	1027	1108
3	2934	1106
done	5000	1106

prune383.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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:

30.0ms	(* x (/ (sin y) y))
18.0ms	(/ (sin y) y)

series137.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(* x (/ (sin y) y))
40.0ms	(/ (sin y) y)

simplify4.8s

Counts

65 → 65

Iterations

Useful iterations: 2 (128.0ms)

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

prune215.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	10	6
done	10	6

end0.0ms

sample2.3s

Algorithm

intervals

Results

587.0ms	620×	body	320	valid
522.0ms	924×	body	1280	valid
449.0ms	5212×	body	80	valid
387.0ms	976×	body	640	valid
42.0ms	268×	body	160	valid