Details

sample28.0ms

Algorithm

intervals

Results

6.0ms	177×	body	80	valid
6.0ms	26×	body	1280	valid
4.0ms	26×	body	640	valid
2.0ms	21×	body	320	valid
0.0ms	6×	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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:

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

series87.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* x (/ (sin y) y))
27.0ms	(/ (sin y) y)

simplify3.3s

Counts

69 → 69

Iterations

Useful iterations: 3 (352.0ms)

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

prune144.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.3b	(/ 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×	`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:

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

series110.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* x (/ 1 (/ y (sin y))))
24.0ms	(/ y (sin y))
27.0ms	(/ 1 (/ y (sin y)))

simplify1.7s

Counts

191 → 191

Iterations

Useful iterations: 3 (854.0ms)

Iter	Nodes	Cost
0	244	2235
1	543	1761
2	1082	1524
3	2975	1504
done	5000	1504

prune334.0ms

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

rewrite19.0ms

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:

10.0ms	(/ x (/ y (sin y)))
5.0ms	(/ y (sin y))

series85.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ x (/ y (sin y)))
25.0ms	(/ y (sin y))

simplify1.6s

Counts

107 → 107

Iterations

Useful iterations: 3 (743.0ms)

Iter	Nodes	Cost
0	175	1270
1	356	1192
2	1038	1130
3	2965	1127
done	5000	1127

prune234.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

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` `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:

14.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)

series87.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* x (/ (sin y) y))
31.0ms	(/ (sin y) y)

simplify3.4s

Counts

69 → 69

Iterations

Useful iterations: 3 (365.0ms)

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

prune141.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
done	5	6

end0.0ms

sample861.0ms

Algorithm

intervals

Results

220.0ms	873×	body	1280	valid
191.0ms	5260×	body	80	valid
154.0ms	959×	body	640	valid
65.0ms	608×	body	320	valid
24.0ms	300×	body	160	valid