Details

sample36.0ms

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

simplify8.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

29.0ms	(* x (/ (sin y) y))
13.0ms	(/ (sin y) y)

series105.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)

simplify4.9s

Counts

69 → 69

Iterations

Useful iterations: 3 (497.0ms)

Iter	Nodes	Cost
0	102	595
1	213	568
2	568	516
3	1586	514
4	4787	514
done	5001	514

prune217.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite81.0ms

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×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `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 → 182

Calls

3 calls:

6.0ms	(/ y (sin y))
54.0ms	(* x (/ 1 (/ y (sin y))))
12.0ms	(/ 1 (/ y (sin y)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ y (sin y))
96.0ms	(* x (/ 1 (/ y (sin y))))
37.0ms	(/ 1 (/ y (sin y)))

simplify2.6s

Counts

191 → 191

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	244	2235
1	543	1761
2	1082	1524
3	3002	1504
done	5000	1504

prune551.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 101

Calls

2 calls:

6.0ms	(/ y (sin y))
16.0ms	(/ x (/ y (sin y)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ y (sin y))
83.0ms	(/ x (/ y (sin y)))

simplify2.4s

Counts

107 → 107

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	175	1270
1	356	1192
2	1035	1130
3	2956	1127
done	5001	1127

prune361.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

25.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)

series135.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(* x (/ (sin y) y))
45.0ms	(/ (sin y) y)

simplify5.1s

Counts

69 → 69

Iterations

Useful iterations: 3 (474.0ms)

Iter	Nodes	Cost
0	102	595
1	213	568
2	568	516
3	1586	514
4	4787	514
done	5001	514

prune165.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes106.0ms

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

sample1.9s

Algorithm

intervals

Results

629.0ms	976×	body	640	valid
480.0ms	5212×	body	80	valid
397.0ms	924×	body	1280	valid
125.0ms	620×	body	320	valid
94.0ms	268×	body	160	valid