Details

sample60.0ms

Algorithm

intervals

Results

15.0ms	30×	body	1280	valid
13.0ms	164×	body	80	valid
10.0ms	28×	body	640	valid
6.0ms	23×	body	320	valid
2.0ms	11×	body	160	valid

simplify13.0ms

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: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:

19.0ms	(* x (/ (sin y) y))
19.0ms	(/ (sin y) y)

series116.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* x (/ (sin y) y))
47.0ms	(/ (sin y) y)

simplify853.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1002
1	237
0	102

prune432.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (/ (sin y) y))
0.0b	(expm1 (log1p (/ (sin y) y)))
0.1b	(* x (expm1 (log1p (/ (sin y) y))))
0.1b	(/ (sin y) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

1.0ms	(log1p (/ (sin y) y))
0.0ms	(expm1 (log1p (/ (sin y) y)))
10.0ms	(* x (expm1 (log1p (/ (sin y) y))))
13.0ms	(/ (sin y) y)

series462.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(log1p (/ (sin y) y))
210.0ms	(expm1 (log1p (/ (sin y) y)))
140.0ms	(* x (expm1 (log1p (/ (sin y) y))))
58.0ms	(/ (sin y) y)

simplify856.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1038
1	249
0	125

prune489.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

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` `*-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:

15.0ms	(/ x (/ y (sin y)))
9.0ms	(/ y (sin y))

series141.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(/ x (/ y (sin y)))
50.0ms	(/ y (sin y))

simplify1.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2011
1	432
0	175

prune576.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
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 → 152

Calls

4 calls:

43.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
5.0ms	(cbrt (/ y (sin y)))
5.0ms	(cbrt (/ y (sin y)))
5.0ms	(cbrt (/ y (sin y)))

series925.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
214.0ms	(cbrt (/ y (sin y)))
250.0ms	(cbrt (/ y (sin y)))
201.0ms	(cbrt (/ y (sin y)))

simplify1.7s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
2	1347
1	324
0	173

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes189.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.9s

Algorithm

intervals

Results

762.0ms	5184×	body	80	valid
423.0ms	926×	body	1280	valid
282.0ms	1027×	body	640	valid
142.0ms	551×	body	320	valid
38.0ms	312×	body	160	valid