Details

sample192.0ms

Algorithm

intervals

Results

74.0ms	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

simplify789.0ms

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	749	27
7	987	27
8	1089	27
9	1139	27
10	1143	27
done	1143	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))

rewrite26.0ms

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:

9.0ms	(* (* (+ (* 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))

series45.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
10.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
13.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
13.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify535.0ms

Counts

66 → 66

Iterations

Useful iterations: done (533.0ms)

Iter	Nodes	Cost
0	138	888
1	379	883
2	1492	721
done	5000	716

prune286.0ms

Filtered

50 candidates to 66 candidates (-32.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	46	20	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	20	67

Merged error: 43.1b

Counts

67 → 20

localize13.0ms

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))

series56.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
6.0ms	(* (+ (* y 2.0) 1.0) z)
13.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
13.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.4s

Counts

77 → 77

Iterations

Useful iterations: 3 (454.0ms)

Iter	Nodes	Cost
0	118	1057
1	291	1051
2	1038	877
3	4383	870
done	5000	870

prune315.0ms

Filtered

55 candidates to 77 candidates (-40.0%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	60	17	77
Fresh	5	14	19
Picked	1	0	1
Done	0	0	0
Total	66	31	97

Merged error: 41.1b

Counts

97 → 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

prune171.0ms

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

localize14.0ms

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)))
8.0ms	(* (+ (* 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:

28.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0)))
10.0ms	(* (+ (* y 2.0) 1.0) (* t z))
13.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0))

simplify879.0ms

Counts

54 → 54

Iterations

Useful iterations: 3 (275.0ms)

Iter	Nodes	Cost
0	95	821
1	252	818
2	747	679
3	2410	675
done	5000	675

prune91.0ms

Filtered

41 candidates to 54 candidates (-31.7%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	44	10	54
Fresh	6	23	29
Picked	1	0	1
Done	0	1	1
Total	51	34	85

Merged error: 40.9b

Counts

85 → 34

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

sample5.3s

Algorithm

intervals

Results

2.1s	1902×	body	2560	valid
1.5s	2312×	body	1280	valid
533.0ms	1167×	body	640	valid
194.0ms	1797×	body	80	valid
168.0ms	520×	body	320	valid
109.0ms	50×	body	5120	valid
56.0ms	252×	body	160	valid

Details

sample192.0ms

simplify789.0ms

prune6.0ms

localize29.0ms

rewrite26.0ms

series45.0ms

simplify535.0ms

prune286.0ms

localize13.0ms

rewrite25.0ms

series56.0ms

simplify1.4s

prune315.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune171.0ms

localize14.0ms

rewrite17.0ms

series50.0ms

simplify879.0ms

prune91.0ms

regimes3.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.3s

Profiling