Details

sample63.0ms

Algorithm

intervals

Results

13.0ms	28×	body	1280	valid
12.0ms	37×	body	640	valid
12.0ms	157×	body	80	valid
6.0ms	25×	body	320	valid
1.0ms	9×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 63

Calls

2 calls:

15.0ms	(* x (/ (sin y) y))
7.0ms	(/ (sin y) y)

series427.0ms

Counts

2 → 6

Calls

2 calls:

388.0ms	(* x (/ (sin y) y))
39.0ms	(/ (sin y) y)

simplify805.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1002
1	237
0	102

prune332.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize12.0ms

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)))

rewrite51.0ms

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×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 182

Calls

3 calls:

29.0ms	(* x (/ 1 (/ y (sin y))))
5.0ms	(/ y (sin y))
9.0ms	(/ 1 (/ y (sin y)))

series127.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* x (/ 1 (/ y (sin y))))
33.0ms	(/ y (sin y))
36.0ms	(/ 1 (/ y (sin y)))

simplify1.6s

Counts

191 → 191

Iterations

Iter	Nodes
done	5002
2	3435
1	671
0	244

prune810.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 101

Calls

2 calls:

8.0ms	(/ x (/ y (sin y)))
4.0ms	(/ y (sin y))

series118.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(/ x (/ y (sin y)))
30.0ms	(/ y (sin y))

simplify1.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2011
1	432
0	175

prune426.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y)))))
0.3b	(cbrt (/ 1 (/ y (sin y))))
0.3b	(cbrt (/ 1 (/ y (sin y))))
0.3b	(cbrt (/ 1 (/ y (sin y))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

534×	`times-frac`
373×	`add-sqr-sqrt`
372×	`cbrt-prod`
279×	`*-un-lft-identity`
253×	`add-cube-cbrt`
49×	`swap-sqr`
47×	`associate-r` `associate-l`
36×	`unswap-sqr`
30×	`div-inv`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div` `associate-/r/`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 367

Calls

4 calls:

68.0ms	(* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y)))))
5.0ms	(cbrt (/ 1 (/ y (sin y))))
8.0ms	(cbrt (/ 1 (/ y (sin y))))
6.0ms	(cbrt (/ 1 (/ y (sin y))))

series794.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y)))))
183.0ms	(cbrt (/ 1 (/ y (sin y))))
182.0ms	(cbrt (/ 1 (/ y (sin y))))
187.0ms	(cbrt (/ 1 (/ y (sin y))))

simplify1.7s

Counts

379 → 379

Iterations

Iter	Nodes
done	5000
2	2887
1	784
0	431

prune2.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes306.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample1.9s

Algorithm

intervals

Results

678.0ms	5171×	body	80	valid
404.0ms	963×	body	1280	valid
302.0ms	980×	body	640	valid
137.0ms	556×	body	320	valid
39.0ms	330×	body	160	valid