Details

sample63.0ms

Algorithm

intervals

Results

17.0ms	168×	body	80	valid
14.0ms	24×	body	1280	valid
13.0ms	32×	body	640	valid
7.0ms	20×	body	320	valid
3.0ms	12×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 61

Calls

2 calls:

10.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)

series153.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(* x (/ (sin y) y))
58.0ms	(/ (sin y) y)

simplify895.0ms

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	995
1	234
0	100

prune280.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (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))

rewrite27.0ms

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×	`add-cbrt-cube` `insert-posit16` `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 → 148

Calls

4 calls:

15.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
3.0ms	(cbrt (/ (sin y) y))
3.0ms	(cbrt (/ (sin y) y))
3.0ms	(cbrt (/ (sin y) y))

series827.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
181.0ms	(cbrt (/ (sin y) y))
170.0ms	(cbrt (/ (sin y) y))
234.0ms	(cbrt (/ (sin y) y))

simplify1.3s

Counts

160 → 160

Iterations

Iter	Nodes
done	5000
2	1355
1	329
0	169

prune979.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

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

series945.0ms

Counts

4 → 12

Calls

4 calls:

322.0ms	(cbrt y)
301.0ms	(cbrt y)
176.0ms	(cbrt (sin y))
146.0ms	(cbrt (sin y))

simplify1.3s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
4	2375
3	798
2	257
1	98
0	51

prune351.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(* (/ (/ x (cbrt y)) (cbrt y)) (/ (sin y) (cbrt y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

302×	`times-frac`
229×	`add-sqr-sqrt`
160×	`cbrt-prod`
143×	`*-un-lft-identity` `add-cube-cbrt`
136×	`associate-l`
25×	`add-exp-log`
22×	`associate-r`
21×	`unswap-sqr`
16×	`add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
8×	`div-inv`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 240

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
25.0ms	(* (/ (/ x (cbrt y)) (cbrt y)) (/ (sin y) (cbrt y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

358.0ms	(cbrt y)
264.0ms	(cbrt y)
306.0ms	(cbrt y)
161.0ms	(* (/ (/ x (cbrt y)) (cbrt y)) (/ (sin y) (cbrt y)))

simplify1.9s

Counts

252 → 252

Iterations

Iter	Nodes
done	5000
2	4809
1	967
0	290

prune1.4s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes214.0ms

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

sample2.6s

Algorithm

intervals

Results

808.0ms	1051×	body	640	valid
674.0ms	934×	body	1280	valid
603.0ms	5132×	body	80	valid
251.0ms	576×	body	320	valid
64.0ms	307×	body	160	valid