Details

sample122.0ms

Algorithm

intervals

Results

37.0ms	48×	body	1280	valid
22.0ms	248×	body	80	nan
14.0ms	174×	body	80	valid
10.0ms	30×	body	640	valid
7.0ms	10×	body	2560	valid
3.0ms	12×	body	320	valid
2.0ms	10×	body	160	valid

simplify80.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	32	19
2	54	19
3	75	19
4	87	19
5	89	19
done	89	19

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.2b	(/ (* z t) 3.0)
21.3b	(cos (- y (/ (* z t) 3.0)))

rewrite82.0ms

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:

8.0ms	(/ a (* b 3.0))
29.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
20.0ms	(/ (* z t) 3.0)
24.0ms	(cos (- y (/ (* z t) 3.0)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ a (* b 3.0))
136.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
21.0ms	(/ (* z t) 3.0)
51.0ms	(cos (- y (/ (* z t) 3.0)))

simplify2.8s

Counts

84 → 84

Iterations

Useful iterations: 2 (212.0ms)

Iter	Nodes	Cost
0	170	993
1	399	961
2	1339	813
3	4829	813
done	5000	813

prune384.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 14.3b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
3.3b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
23.9b	(sin (/ (* z t) 3.0))
24.4b	(cos (/ (* z t) 3.0))

rewrite137.0ms

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-r` `associate-l` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 60

Calls

4 calls:

57.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
60.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
5.0ms	(sin (/ (* z t) 3.0))
12.0ms	(cos (/ (* z t) 3.0))

series272.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
108.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
17.0ms	(sin (/ (* z t) 3.0))
12.0ms	(cos (/ (* z t) 3.0))

simplify1.4s

Counts

72 → 72

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	130	1272
1	337	1211
2	1353	937
done	5000	925

prune500.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 14.3b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
3.3b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
23.9b	(sin (/ (* z t) 3.0))
24.1b	(cos (* 0.3333333333333333 (* t z)))

rewrite190.0ms

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-r` `associate-l` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 60

Calls

4 calls:

110.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
42.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
4.0ms	(sin (/ (* z t) 3.0))
31.0ms	(cos (* 0.3333333333333333 (* t z)))

series315.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
138.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
23.0ms	(sin (/ (* z t) 3.0))
16.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify1.2s

Counts

72 → 72

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	133	1272
1	341	1211
2	1320	937
done	5001	925

prune500.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 14.3b

localize59.0ms

Local error

Found 4 expressions with local error:

23.9b	(sin (/ (* z t) 3.0))
23.9b	(sin (/ (* z t) 3.0))
23.9b	(sin (/ (* z t) 3.0))
24.1b	(cos (* 0.3333333333333333 (* t z)))

rewrite41.0ms

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:

5.0ms	(sin (/ (* z t) 3.0))
5.0ms	(sin (/ (* z t) 3.0))
5.0ms	(sin (/ (* z t) 3.0))
24.0ms	(cos (* 0.3333333333333333 (* t z)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(sin (/ (* z t) 3.0))
25.0ms	(sin (/ (* z t) 3.0))
25.0ms	(sin (/ (* z t) 3.0))
16.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify3.4s

Counts

40 → 40

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	26	344
1	35	344
2	49	296
3	61	296
4	71	296
5	88	296
6	127	296
7	261	296
8	851	296
9	3579	296
done	5000	296

prune287.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 14.2b

regimes3.6s

Accuracy

63.8% (1.4b remaining)

Error of 17.7b against oracle of 16.3b and baseline of 20.1b

bsearch5.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	97
1	56	97
done	56	97

end0.0ms

sample6.2s

Algorithm

intervals

Results

1.6s	9092×	body	80	nan
1.4s	5595×	body	80	valid
1.1s	1554×	body	1280	valid
495.0ms	947×	body	640	valid
423.0ms	392×	body	2560	valid
161.0ms	426×	body	320	valid
45.0ms	222×	body	160	valid