Details

sample187.0ms

Algorithm

intervals

Results

68.0ms	61×	body	2560	valid
55.0ms	74×	body	1280	valid
19.0ms	40×	body	640	valid
6.0ms	57×	body	80	valid
5.0ms	15×	body	320	valid
5.0ms	2×	body	5120	valid
2.0ms	7×	body	160	valid

simplify777.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	27
1	42	27
2	96	27
3	199	27
4	354	27
5	542	27
6	745	27
7	980	27
8	1082	27
9	1132	27
10	1136	27
done	1136	27

prune6.0ms

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: 47.5b

Counts

2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (* (+ (* a 2.0) 1.0) b) t)
4.3b	(* (* (+ (* y 2.0) 1.0) z) t)
35.7b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
37.2b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 54

Calls

4 calls:

10.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series48.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
10.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
14.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
14.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify532.0ms

Counts

66 → 66

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	138	888
1	379	878
2	1491	714
done	5000	714

prune289.0ms

Filtered

48 candidates to 66 candidates (-37.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	47	19	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	19	67

Merged error: 43.1b

Counts

67 → 19

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
0.2b	(* (+ (* y 2.0) 1.0) z)
4.3b	(* (* (+ (* y 2.0) 1.0) z) t)
37.2b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`associate-l`
6×	`associate-*l/`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

4.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
7.0ms	(* (+ (* y 2.0) 1.0) z)
9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series55.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
6.0ms	(* (+ (* y 2.0) 1.0) z)
10.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
14.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.2s

Counts

77 → 77

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	118	1057
1	291	1046
2	1044	870
3	4778	870
done	5000	870

prune337.0ms

Filtered

57 candidates to 77 candidates (-35.1%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	59	18	77
Fresh	5	13	18
Picked	1	0	1
Done	0	0	0
Total	65	31	96

Merged error: 41.1b

Counts

96 → 31

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune181.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	30	30
Picked	1	1
Done	0	0
Total	31	31

Merged error: 41.1b

Counts

31 → 31

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0)))
2.5b	(* (+ (* y 2.0) 1.0) (* t z))
37.3b	(cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`add-log-exp`
2×	`associate-l/` `-commutative`
1×	`flip3-+` `flip-+` `unswap-sqr`

Counts

3 → 45

Calls

3 calls:

4.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0)))
9.0ms	(* (+ (* y 2.0) 1.0) (* t z))
3.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0))

series50.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0)))
11.0ms	(* (+ (* y 2.0) 1.0) (* t z))
14.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0))

simplify883.0ms

Counts

54 → 54

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	95	821
1	252	815
2	795	673
3	2702	673
done	5000	673

prune92.0ms

Filtered

40 candidates to 54 candidates (-35.0%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	45	9	54
Fresh	7	22	29
Picked	1	0	1
Done	0	1	1
Total	53	32	85

Merged error: 40.9b

Counts

85 → 32

regimes3.1s

Accuracy

0% (4.4b remaining)

Error of 45.1b against oracle of 40.7b and baseline of 45.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	6	1
done	6	1

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.1s	1902×	body	2560	valid
1.6s	2312×	body	1280	valid
555.0ms	1167×	body	640	valid
208.0ms	1797×	body	80	valid
178.0ms	520×	body	320	valid
115.0ms	50×	body	5120	valid
61.0ms	252×	body	160	valid

Details

sample187.0ms

simplify777.0ms

prune6.0ms

localize29.0ms

rewrite27.0ms

series48.0ms

simplify532.0ms

prune289.0ms

localize17.0ms

rewrite25.0ms

series55.0ms

simplify1.2s

prune337.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune181.0ms

localize16.0ms

rewrite17.0ms

series50.0ms

simplify883.0ms

prune92.0ms

regimes3.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.4s

Profiling