Details

sample143.0ms

Algorithm

intervals

Results

26.0ms	55×	body	1280	valid
25.0ms	304×	body	80	nan
17.0ms	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

simplify45.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	32	19
2	54	19
3	74	19
4	87	19
5	90	19
done	90	19

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: 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)
8.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
6.0ms	(cos (- y (/ (* z t) 3.0)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
4.0ms	(/ (* z t) 3.0)
37.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
11.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.0s

Counts

84 → 84

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	173	1005
1	420	970
2	1433	828
done	5001	826

prune300.0ms

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

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (sin (/ (* z t) 3.0)))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
29.8b	(sin (/ (* z t) 3.0))
30.0b	(cos (/ (* z t) 3.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`associate-*r/`
2×	`*-commutative` `sin-mult`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `cos-mult` `flip-+` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

6.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
10.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
4.0ms	(sin (/ (* z t) 3.0))
2.0ms	(cos (/ (* z t) 3.0))

series91.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
68.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
4.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))

simplify891.0ms

Counts

68 → 68

Iterations

Useful iterations: 2 (175.0ms)

Iter	Nodes	Cost
0	145	1349
1	398	1303
2	1542	1123
done	5001	1123

prune314.0ms

Filtered

52 candidates to 68 candidates (-30.8%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	59	9	68
Fresh	5	18	23
Picked	1	0	1
Done	0	0	0
Total	65	27	92

Merged error: 18.8b

Counts

92 → 27

localize29.0ms

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))

rewrite11.0ms

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:

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

simplify3.0s

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	71	288
5	88	288
6	127	288
7	240	288
8	644	288
9	2490	288
done	5001	288

prune296.0ms

Filtered

36 candidates to 40 candidates (-11.1%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	2	24	26
Picked	1	0	1
Done	0	0	0
Total	41	26	67

Merged error: 18.7b

Counts

67 → 26

localize38.0ms

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:

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

simplify3.6s

Counts

40 → 40

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	34	336
1	44	336
2	58	288
3	70	288
4	83	288
5	107	288
6	166	288
7	332	288
8	953	288
9	3662	288
done	5000	288

prune135.0ms

Filtered

34 candidates to 40 candidates (-17.6%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	1	24	25
Picked	1	0	1
Done	0	0	0
Total	38	28	66

Merged error: 18.7b

Counts

66 → 28

regimes4.4s

Accuracy

63% (1.5b remaining)

Error of 18.5b against oracle of 17.1b and baseline of 21.0b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	78
1	60	78
done	60	78

end0.0ms

sample4.2s

Algorithm

intervals

Results

824.0ms	1667×	body	1280	valid
773.0ms	9096×	body	80	nan
462.0ms	5494×	body	80	valid
314.0ms	884×	body	640	valid
298.0ms	388×	body	2560	valid
120.0ms	465×	body	320	valid
42.0ms	209×	body	160	valid

Details

sample143.0ms

simplify45.0ms

prune5.0ms

localize17.0ms

rewrite25.0ms

series55.0ms

simplify1.0s

prune300.0ms

localize25.0ms

rewrite24.0ms

series91.0ms

simplify891.0ms

prune314.0ms

localize29.0ms

rewrite11.0ms

series15.0ms

simplify3.0s

prune296.0ms

localize38.0ms

rewrite12.0ms

series15.0ms

simplify3.6s

prune135.0ms

regimes4.4s

bsearch2.0ms

simplify4.0ms

end0.0ms

sample4.2s

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