Details

sample65.0ms

Algorithm

intervals

Results

19.0ms	36×	body	1280	valid
13.0ms	162×	body	80	valid
10.0ms	26×	body	640	valid
7.0ms	24×	body	320	valid
1.0ms	8×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
5	17
4	16
3	14
2	12
1	8
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:

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

series145.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(* x (/ (sin y) y))
45.0ms	(/ (sin y) y)

simplify2.0s

Counts

69 → 69

Iterations

Iter	Nodes
done	5004
3	3228
2	730
1	234
0	102

prune371.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `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-l/` `-commutative`

Counts

2 → 63

Calls

2 calls:

21.0ms	(* (/ (sin y) y) x)
7.0ms	(/ (sin y) y)

series134.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (/ (sin y) y) x)
53.0ms	(/ (sin y) y)

simplify2.0s

Counts

69 → 69

Iterations

Iter	Nodes
done	5011
3	2862
2	715
1	239
0	104

prune359.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

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:

27.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))

series810.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
206.0ms	(cbrt (/ (sin y) y))
168.0ms	(cbrt (/ (sin y) y))
200.0ms	(cbrt (/ (sin y) y))

simplify2.9s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
4	4624
3	1793
2	788
1	329
0	171

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt y)
3.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series935.0ms

Counts

4 → 12

Calls

4 calls:

319.0ms	(cbrt y)
328.0ms	(cbrt y)
139.0ms	(cbrt (sin y))
148.0ms	(cbrt (sin y))

simplify2.8s

Counts

64 → 64

Iterations

Iter	Nodes
done	5005
5	3677
4	1329
3	494
2	228
1	101
0	53

prune411.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes199.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample1.9s

Algorithm

intervals

Results

451.0ms	304×	body	160	valid
388.0ms	899×	body	1280	valid
365.0ms	1032×	body	640	valid
345.0ms	5198×	body	80	valid
158.0ms	567×	body	320	valid