Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

325×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	5
1	6	5
done	6	5

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.3b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ 1.0 (* x x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/ 1.0 (* x x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ 1.0 (* x x))

simplify1.4s

Counts

24 → 24

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	43	185
1	96	184
2	299	156
3	821	152
4	1838	152
5	3706	152
done	5000	152

prune41.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0.0b

Counts

25 → 4

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (/ 1.0 x) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/ (/ 1.0 x) x)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ (/ 1.0 x) x)

simplify753.0ms

Counts

73 → 73

Iterations

Useful iterations: 3 (320.0ms)

Iter	Nodes	Cost
0	140	862
1	317	816
2	920	763
3	2648	746
done	5000	746

prune86.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series103.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt x) (cbrt x))
24.0ms	(cbrt x)
24.0ms	(cbrt x)
27.0ms	(cbrt x)

simplify738.0ms

Counts

85 → 85

Iterations

Useful iterations: 4 (312.0ms)

Iter	Nodes	Cost
0	76	590
1	151	526
2	449	466
3	1164	417
4	2497	378
done	5001	378

prune85.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x))))
20.1b	(cbrt (/ 1.0 (* x x)))
20.1b	(cbrt (/ 1.0 (* x x)))
20.1b	(cbrt (/ 1.0 (* x x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

61×	`cbrt-prod`
40×	`add-sqr-sqrt`
27×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
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 → 108

Calls

4 calls:

10.0ms	(* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x))))
4.0ms	(cbrt (/ 1.0 (* x x)))
4.0ms	(cbrt (/ 1.0 (* x x)))
4.0ms	(cbrt (/ 1.0 (* x x)))

series122.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x))))
27.0ms	(cbrt (/ 1.0 (* x x)))
27.0ms	(cbrt (/ 1.0 (* x x)))
32.0ms	(cbrt (/ 1.0 (* x x)))

simplify1.4s

Counts

120 → 120

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	121	1670
1	221	1570
2	634	1447
3	1686	1323
4	3887	1294
done	5000	1282

prune231.0ms

Filtered

91 candidates to 120 candidates (-31.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	118	8	126

Merged error: 0b

Counts

126 → 8

regimes191.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
done	4	5

end0.0ms

sample389.0ms

Algorithm

intervals

Results

207.0ms

10706×

body

valid

Details

sample19.0ms

simplify2.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series3.0ms

simplify1.4s

prune41.0ms

localize3.0ms

rewrite10.0ms

series3.0ms

simplify753.0ms

prune86.0ms

localize9.0ms

rewrite13.0ms

series103.0ms

simplify738.0ms

prune85.0ms

localize8.0ms

rewrite26.0ms

series122.0ms

simplify1.4s

prune231.0ms

regimes191.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample389.0ms

Profiling