Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

306×

body

valid

simplify497.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	7
1	11	7
2	24	7
3	35	7
4	46	7
5	68	7
6	98	7
7	111	7
8	120	7
9	129	7
10	146	7
11	159	7
12	179	7
13	227	7
14	315	7
15	416	7
16	478	7
17	484	7
done	484	7

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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ x y) (* x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`diff-log`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `associate--l+` `sum-log` `add-cbrt-cube` `flip--`

Counts

1 → 14

Calls

1 calls:

6.0ms

(- (+ x y) (* x y))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(- (+ x y) (* x y))

simplify2.3s

Counts

17 → 17

Iterations

Useful iterations: 3 (129.0ms)

Iter	Nodes	Cost
0	34	189
1	91	182
2	305	182
3	1171	168
4	4729	168
done	5000	168

prune189.0ms

Filtered

11 candidates to 17 candidates (-54.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0b

Counts

18 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (+ x y) (* x y)))
0.5b	(cbrt (- (+ x y) (* x y)))
0.5b	(cbrt (- (+ x y) (* x y)))
0.5b	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

5.0ms	(cbrt (- (+ x y) (* x y)))
5.0ms	(cbrt (- (+ x y) (* x y)))
5.0ms	(cbrt (- (+ x y) (* x y)))
14.0ms	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))

series93.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt (- (+ x y) (* x y)))
20.0ms	(cbrt (- (+ x y) (* x y)))
22.0ms	(cbrt (- (+ x y) (* x y)))
31.0ms	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))

simplify1.5s

Counts

99 → 99

Iterations

Useful iterations: 3 (737.0ms)

Iter	Nodes	Cost
0	158	2483
1	378	2266
2	1016	2065
3	3307	1816
done	5000	1816

prune119.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ x y) (* x y))
0.0b	(sqrt (- (+ x y) (* x y)))
0.0b	(sqrt (- (+ x y) (* x y)))
0.2b	(* (sqrt (- (+ x y) (* x y))) (sqrt (- (+ x y) (* x y))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `diff-log` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `prod-exp` `associate--l+` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

6.0ms	(- (+ x y) (* x y))
5.0ms	(sqrt (- (+ x y) (* x y)))
5.0ms	(sqrt (- (+ x y) (* x y)))
18.0ms	(* (sqrt (- (+ x y) (* x y))) (sqrt (- (+ x y) (* x y))))

series50.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (+ x y) (* x y))
10.0ms	(sqrt (- (+ x y) (* x y)))
11.0ms	(sqrt (- (+ x y) (* x y)))
24.0ms	(* (sqrt (- (+ x y) (* x y))) (sqrt (- (+ x y) (* x y))))

simplify1.7s

Counts

113 → 113

Iterations

Useful iterations: 3 (662.0ms)

Iter	Nodes	Cost
0	129	2147
1	277	1562
2	909	1494
3	3897	1403
done	5001	1403

prune87.0ms

Filtered

71 candidates to 113 candidates (-59.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Merged error: 0b

Counts

116 → 3

regimes106.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
done	7	7

end0.0ms

sample464.0ms

Algorithm

intervals

Results

210.0ms	9169×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

Details

sample17.0ms

simplify497.0ms

prune2.0ms

localize8.0ms

rewrite7.0ms

series4.0ms

simplify2.3s

prune189.0ms

localize9.0ms

rewrite33.0ms

series93.0ms

simplify1.5s

prune119.0ms

localize7.0ms

rewrite39.0ms

series50.0ms

simplify1.7s

prune87.0ms

regimes106.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample464.0ms

Profiling