Details

sample62.0ms

Algorithm

intervals

Results

13.0ms	168×	body	80	valid
11.0ms	32×	body	640	valid
11.0ms	24×	body	1280	valid
4.0ms	20×	body	320	valid
2.0ms	12×	body	160	valid

simplify44.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize44.0ms

Local error

Found 2 expressions with local error:

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

rewrite108.0ms

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:

60.0ms	(* x (/ (sin y) y))
41.0ms	(/ (sin y) y)

series194.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(* x (/ (sin y) y))
82.0ms	(/ (sin y) y)

simplify6.4s

Counts

67 → 67

Iterations

Iter	Nodes
done	5003
3	3329
2	766
1	231
0	100

prune789.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize183.0ms

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))

rewrite133.0ms

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:

72.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
14.0ms	(cbrt (/ (sin y) y))
11.0ms	(cbrt (/ (sin y) y))
12.0ms	(cbrt (/ (sin y) y))

series1.3s

Counts

4 → 12

Calls

4 calls:

384.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
310.0ms	(cbrt (/ (sin y) y))
328.0ms	(cbrt (/ (sin y) y))
311.0ms	(cbrt (/ (sin y) y))

simplify4.9s

Counts

160 → 160

Iterations

Iter	Nodes
done	5002
3	1722
2	756
1	326
0	169

prune2.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize196.0ms

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))

rewrite20.0ms

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:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
6.0ms	(cbrt (sin y))
8.0ms	(cbrt (sin y))

series1.1s

Counts

4 → 12

Calls

4 calls:

356.0ms	(cbrt y)
383.0ms	(cbrt y)
192.0ms	(cbrt (sin y))
205.0ms	(cbrt (sin y))

simplify6.6s

Counts

60 → 60

Iterations

Iter	Nodes
done	5006
5	3749
4	1232
3	485
2	220
1	98
0	51

prune711.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize122.0ms

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)))

rewrite308.0ms

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:

5.0ms	(cbrt y)
5.0ms	(cbrt y)
5.0ms	(cbrt y)
222.0ms	(* (/ (/ x (cbrt y)) (cbrt y)) (/ (sin y) (cbrt y)))

series1.6s

Counts

4 → 12

Calls

4 calls:

703.0ms	(cbrt y)
313.0ms	(cbrt y)
359.0ms	(cbrt y)
197.0ms	(* (/ (/ x (cbrt y)) (cbrt y)) (/ (sin y) (cbrt y)))

simplify5.8s

Counts

252 → 252

Iterations

Iter	Nodes
done	5004
2	3666
1	958
0	290

prune3.3s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes887.0ms

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	6
1	6
0	5

end0.0ms

sample2.2s

Algorithm

intervals

Results

697.0ms	934×	body	1280	valid
557.0ms	5132×	body	80	valid
445.0ms	1051×	body	640	valid
171.0ms	576×	body	320	valid
59.0ms	307×	body	160	valid