Details

sample193.0ms

Algorithm

intervals

Results

69.0ms	61×	body	2560	valid
51.0ms	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

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	27
1	42	27
2	96	27
3	197	27
4	343	27
5	516	27
6	732	27
7	964	27
8	1066	27
9	1116	27
10	1120	27
done	1120	27

prune5.0ms

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

localize23.0ms

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))

rewrite29.0ms

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:

12.0ms	(* (* (+ (* 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:

9.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
9.0ms	(* (* (+ (* 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))

simplify1.1s

Counts

66 → 66

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	138	888
1	366	878
2	1454	714
done	5000	706

prune270.0ms

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

localize14.0ms

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))

rewrite28.0ms

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

series53.0ms

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

simplify2.6s

Counts

77 → 77

Iterations

Useful iterations: 2 (133.0ms)

Iter	Nodes	Cost
0	118	1057
1	281	1046
2	1003	870
3	4130	870
done	5000	870

prune305.0ms

Filtered

55 candidates to 77 candidates (-40.0%)

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

prune164.0ms

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

localize13.0ms

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))

series46.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0)))
9.0ms	(* (+ (* y 2.0) 1.0) (* t z))
13.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* t z)) 16.0))

simplify1.7s

Counts

54 → 54

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	95	821
1	243	815
2	754	673
3	2545	673
done	5000	673

prune87.0ms

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

regimes2.8s

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
554.0ms	1167×	body	640	valid
206.0ms	1797×	body	80	valid
178.0ms	520×	body	320	valid
114.0ms	50×	body	5120	valid
61.0ms	252×	body	160	valid

Details

sample193.0ms

simplify1.7s

prune5.0ms

localize23.0ms

rewrite29.0ms

series45.0ms

simplify1.1s

prune270.0ms

localize14.0ms

rewrite28.0ms

series53.0ms

simplify2.6s

prune305.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune164.0ms

localize13.0ms

rewrite17.0ms

series46.0ms

simplify1.7s

prune87.0ms

regimes2.8s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.4s

Profiling