Details

sample22.0ms

Algorithm

intervals

Results

7.0ms	236×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	5×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	4×	body	160	valid
0.0ms	2×	body	320	valid

simplify168.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	57	9
3	134	9
4	179	9
5	186	9
done	186	9

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x y) y)
0.0b	(+ (+ (+ (+ (+ x y) y) x) z) x)
0.0b	(+ (+ (+ x y) y) x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity` `add-log-exp`
24×	`sum-log` `distribute-lft-out`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

3 → 53

Calls

3 calls:

7.0ms	(+ (+ x y) y)
17.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
10.0ms	(+ (+ (+ x y) y) x)

series16.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ (+ x y) y)
6.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
5.0ms	(+ (+ (+ x y) y) x)

simplify1.8s

Counts

62 → 62

Iterations

Useful iterations: 3 (725.0ms)

Iter	Nodes	Cost
0	88	720
1	250	674
2	800	552
3	4055	528
done	5000	528

prune83.0ms

Filtered

37 candidates to 62 candidates (-67.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	54	8	62
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	56	8	64

Merged error: 0.0b

Counts

64 → 8

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

6.0ms

(+ (* 3 x) (+ z (* 2 y)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ (* 3 x) (+ z (* 2 y)))

simplify886.0ms

Counts

16 → 16

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	34	225
1	114	212
2	378	194
3	1415	194
done	5002	194

prune45.0ms

Filtered

11 candidates to 16 candidates (-45.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	17	7	24

Merged error: 0.0b

Counts

24 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* 3 x) z) (* 2 y))
0.0b	(+ (* 3 x) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

6.0ms	(+ (+ (* 3 x) z) (* 2 y))
4.0ms	(+ (* 3 x) z)

series10.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (+ (* 3 x) z) (* 2 y))
4.0ms	(+ (* 3 x) z)

simplify926.0ms

Counts

30 → 30

Iterations

Useful iterations: 3 (218.0ms)

Iter	Nodes	Cost
0	50	349
1	165	323
2	511	305
3	1695	301
done	5001	301

prune63.0ms

Filtered

21 candidates to 30 candidates (-42.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	29	8	37

Merged error: 0.0b

Counts

37 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ y x) 2)) (cbrt (* (+ y x) 2)))
0.5b	(cbrt (* (+ y x) 2))
0.5b	(cbrt (* (+ y x) 2))
0.5b	(cbrt (* (+ y x) 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* (+ y x) 2)) (cbrt (* (+ y x) 2)))
8.0ms	(cbrt (* (+ y x) 2))
5.0ms	(cbrt (* (+ y x) 2))
5.0ms	(cbrt (* (+ y x) 2))

series175.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (cbrt (* (+ y x) 2)) (cbrt (* (+ y x) 2)))
43.0ms	(cbrt (* (+ y x) 2))
39.0ms	(cbrt (* (+ y x) 2))
40.0ms	(cbrt (* (+ y x) 2))

simplify1.5s

Counts

84 → 84

Iterations

Useful iterations: 3 (699.0ms)

Iter	Nodes	Cost
0	144	1316
1	314	1198
2	862	1070
3	2898	940
done	5000	940

prune168.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	83	9	92

Merged error: 0.0b

Counts

92 → 9

regimes208.0ms

Accuracy

0% (0.0b 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	9	9
1	13	9
done	13	9

end0.0ms

sample599.0ms

Algorithm

intervals

Results

227.0ms	7429×	body	80	valid
24.0ms	178×	body	1280	valid
20.0ms	190×	body	640	valid
10.0ms	128×	body	320	valid
5.0ms	32×	body	2560	valid
4.0ms	66×	body	160	valid

Details

sample22.0ms

simplify168.0ms

prune9.0ms

localize11.0ms

rewrite35.0ms

series16.0ms

simplify1.8s

prune83.0ms

localize7.0ms

rewrite6.0ms

series6.0ms

simplify886.0ms

prune45.0ms

localize7.0ms

rewrite11.0ms

series10.0ms

simplify926.0ms

prune63.0ms

localize10.0ms

rewrite28.0ms

series175.0ms

simplify1.5s

prune168.0ms

regimes208.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample599.0ms

Profiling