Details

sample144.0ms

Algorithm

intervals

Results

29.0ms	304×	body	80	nan
26.0ms	55×	body	1280	valid
14.0ms	175×	body	80	valid
10.0ms	31×	body	640	valid
9.0ms	12×	body	2560	valid
5.0ms	21×	body	320	valid
2.0ms	10×	body	160	valid

simplify39.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	32	19
2	54	19
3	75	19
4	88	19
5	91	19
done	91	19

prune8.0ms

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: 22.8b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(/ (* z t) 3.0)
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
26.2b	(cos (- y (/ (* z t) 3.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`cos-sum` `frac-2neg` `clear-num` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

5.0ms	(/ a (* b 3.0))
5.0ms	(/ (* z t) 3.0)
7.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
6.0ms	(cos (- y (/ (* z t) 3.0)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ a (* b 3.0))
4.0ms	(/ (* z t) 3.0)
34.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
11.0ms	(cos (- y (/ (* z t) 3.0)))

simplify445.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	173	1005
1	428	970
2	1520	828
done	5000	828

prune511.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	60	24	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	24	85

Merged error: 18.8b

Counts

85 → 24

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cos y) (cos (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
2.9b	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
29.8b	(sin (/ (* z t) 3.0))
30.0b	(cos (/ (* z t) 3.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r` `associate-l` `associate-l/` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 60

Calls

4 calls:

9.0ms	(* (* (cos y) (cos (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
10.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
2.0ms	(sin (/ (* z t) 3.0))
2.0ms	(cos (/ (* z t) 3.0))

series91.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* (cos y) (cos (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
42.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
4.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))

simplify443.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (110.0ms)

Iter	Nodes	Cost
0	130	1288
1	356	1224
2	1345	960
done	5000	960

prune312.0ms

Filtered

46 candidates to 72 candidates (-56.5%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	63	9	72
Fresh	3	20	23
Picked	1	0	1
Done	0	0	0
Total	67	29	96

Merged error: 18.7b

Counts

96 → 29

localize31.0ms

Local error

Found 4 expressions with local error:

29.8b	(sin (/ (* z t) 3.0))
30.0b	(cos (/ (* z t) 3.0))
30.0b	(cos (/ (* z t) 3.0))
30.0b	(cos (/ (* z t) 3.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

2.0ms	(sin (/ (* z t) 3.0))
5.0ms	(cos (/ (* z t) 3.0))
3.0ms	(cos (/ (* z t) 3.0))
3.0ms	(cos (/ (* z t) 3.0))

series15.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))

simplify1.2s

Counts

40 → 40

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	27	336
1	36	336
2	49	288
3	61	288
4	75	288
5	96	288
6	141	288
7	263	288
8	689	288
9	2572	288
done	5000	288

prune317.0ms

Filtered

36 candidates to 40 candidates (-11.1%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	2	26	28
Picked	1	0	1
Done	0	0	0
Total	41	28	69

Merged error: 18.7b

Counts

69 → 28

localize37.0ms

Local error

Found 4 expressions with local error:

29.8b	(sin (/ (* z t) 3.0))
30.0b	(cos (* 0.3333333333333333 (* t z)))
30.0b	(cos (/ (* z t) 3.0))
30.0b	(cos (/ (* z t) 3.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

2.0ms	(sin (/ (* z t) 3.0))
3.0ms	(cos (* 0.3333333333333333 (* t z)))
3.0ms	(cos (/ (* z t) 3.0))
3.0ms	(cos (/ (* z t) 3.0))

series15.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (* 0.3333333333333333 (* t z)))
4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))

simplify1.7s

Counts

40 → 40

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	34	336
1	44	336
2	58	288
3	71	288
4	90	288
5	120	288
6	186	288
7	362	288
8	1012	288
9	3788	288
done	5000	288

prune144.0ms

Filtered

34 candidates to 40 candidates (-17.6%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	1	26	27
Picked	1	0	1
Done	0	0	0
Total	38	30	68

Merged error: 18.7b

Counts

68 → 30

regimes4.8s

Accuracy

62.9% (1.5b remaining)

Error of 18.5b against oracle of 17.0b and baseline of 21.0b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	83
1	62	83
done	62	83

end0.0ms

sample4.1s

Algorithm

intervals

Results

805.0ms	1667×	body	1280	valid
769.0ms	9096×	body	80	nan
451.0ms	5494×	body	80	valid
311.0ms	884×	body	640	valid
284.0ms	388×	body	2560	valid
123.0ms	465×	body	320	valid
41.0ms	209×	body	160	valid

Details

sample144.0ms

simplify39.0ms

prune8.0ms

localize17.0ms

rewrite25.0ms

series56.0ms

simplify445.0ms

prune511.0ms

localize26.0ms

rewrite27.0ms

series91.0ms

simplify443.0ms

prune312.0ms

localize31.0ms

rewrite13.0ms

series15.0ms

simplify1.2s

prune317.0ms

localize37.0ms

rewrite12.0ms

series15.0ms

simplify1.7s

prune144.0ms

regimes4.8s

bsearch2.0ms

simplify4.0ms

end0.0ms

sample4.1s

Profiling