Details

sample66.0ms

Algorithm

intervals

Results

17.0ms	37×	body	1280	valid
13.0ms	159×	body	80	valid
10.0ms	31×	body	640	valid
5.0ms	20×	body	320	valid
1.0ms	9×	body	160	valid

simplify14.0ms

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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:

23.0ms	(* x (/ (sin y) y))
13.0ms	(/ (sin y) y)

series147.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(* x (/ (sin y) y))
46.0ms	(/ (sin y) y)

simplify752.0ms

Counts

69 → 69

Iterations

Useful iterations: done (749.0ms)

Iter	Nodes	Cost
0	102	595
1	237	572
2	996	520
done	5000	518

prune424.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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

Counts

2 → 63

Calls

2 calls:

25.0ms	(* (/ (sin y) y) x)
13.0ms	(/ (sin y) y)

series123.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* (/ (sin y) y) x)
58.0ms	(/ (sin y) y)

simplify938.0ms

Counts

69 → 69

Iterations

Useful iterations: done (936.0ms)

Iter	Nodes	Cost
0	104	578
1	239	563
2	1129	515
done	5001	513

prune383.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize20.0ms

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)))

rewrite93.0ms

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:

51.0ms	(* x (/ 1 (/ y (sin y))))
9.0ms	(/ y (sin y))
19.0ms	(/ 1 (/ y (sin y)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(* x (/ 1 (/ y (sin y))))
38.0ms	(/ y (sin y))
45.0ms	(/ 1 (/ y (sin y)))

simplify2.1s

Counts

191 → 191

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	244	2235
1	671	1845
2	3468	1645
done	5001	1643

prune857.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:

16.0ms	(/ x (/ y (sin y)))
9.0ms	(/ y (sin y))

series137.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(/ x (/ y (sin y)))
45.0ms	(/ y (sin y))

simplify1.3s

Counts

107 → 107

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	175	1270
1	432	1208
2	2014	1138
done	5001	1133

prune533.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	10	6
2	11	6
done	11	6

end0.0ms

sample2.3s

Algorithm

intervals

Results

986.0ms	989×	body	1280	valid
402.0ms	965×	body	640	valid
395.0ms	5189×	body	80	valid
162.0ms	570×	body	320	valid
41.0ms	287×	body	160	valid