Details

sample59.0ms

Algorithm

intervals

Results

20.0ms	34×	body	640	valid
10.0ms	29×	body	1280	valid
10.0ms	162×	body	80	valid
4.0ms	22×	body	320	valid
1.0ms	9×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	12	6
3	16	6
4	17	6
done	17	6

prune3.0ms

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

24.0ms	(* x (/ (sin y) y))
14.0ms	(/ (sin y) y)

series121.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(* x (/ (sin y) y))
42.0ms	(/ (sin y) y)

simplify630.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (186.0ms)

Iter	Nodes	Cost
0	98	571
1	232	549
2	985	501
done	5000	501

prune210.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.2b	(* (sin y) (/ 1 y))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
9×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l`
4×	`associate-*r/` `div-exp` `pow-prod-down`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `un-div-inv` `*-commutative` `add-log-exp`
1×	`div-inv`

Counts

2 → 60

Calls

2 calls:

42.0ms	(* x (* (sin y) (/ 1 y)))
32.0ms	(* (sin y) (/ 1 y))

series113.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* x (* (sin y) (/ 1 y)))
44.0ms	(* (sin y) (/ 1 y))

simplify4.5s

Counts

66 → 66

Iterations

Useful iterations: 2 (444.0ms)

Iter	Nodes	Cost
0	113	653
1	294	584
2	2480	421
done	5001	421

prune120.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize14.0ms

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))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
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` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

33.0ms	(* (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))

series786.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
239.0ms	(cbrt (/ (sin y) y))
159.0ms	(cbrt (/ (sin y) y))
142.0ms	(cbrt (/ (sin y) y))

simplify1.0s

Counts

156 → 156

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	167	2201
1	327	2074
2	1374	1995
done	5000	1941

prune690.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

16.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

270.0ms	(* (cbrt x) (cbrt x))
228.0ms	(cbrt x)
292.0ms	(cbrt x)
332.0ms	(cbrt x)

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune316.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	6	6
done	6	6

end0.0ms

sample1.6s

Algorithm

intervals

Results

522.0ms	5224×	body	80	valid
369.0ms	949×	body	1280	valid
274.0ms	963×	body	640	valid
95.0ms	555×	body	320	valid
37.0ms	309×	body	160	valid