Details

sample150.0ms

Algorithm

intervals

Results

40.0ms	248×	body	80	nan
28.0ms	48×	body	1280	valid
15.0ms	174×	body	80	valid
11.0ms	30×	body	640	valid
8.0ms	10×	body	2560	valid
3.0ms	12×	body	320	valid
2.0ms	10×	body	160	valid

simplify102.0ms

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	87	19
5	89	19
done	89	19

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize25.0ms

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)))

rewrite89.0ms

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:

9.0ms	(/ a (* b 3.0))
31.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
22.0ms	(/ (* z t) 3.0)
24.0ms	(cos (- y (/ (* z t) 3.0)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ a (* b 3.0))
144.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
27.0ms	(/ (* z t) 3.0)
58.0ms	(cos (- y (/ (* z t) 3.0)))

simplify3.1s

Counts

84 → 84

Iterations

Useful iterations: 2 (245.0ms)

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

prune500.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 14.3b

localize33.0ms

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))

rewrite143.0ms

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:

60.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
62.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
13.0ms	(sin (/ (* z t) 3.0))
5.0ms	(cos (/ (* z t) 3.0))

series352.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
141.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
24.0ms	(sin (/ (* z t) 3.0))
16.0ms	(cos (/ (* z t) 3.0))

simplify1.4s

Counts

72 → 72

Iterations

Useful iterations: done (1.3s)

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

prune507.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 14.3b

localize48.0ms

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)))

rewrite209.0ms

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:

108.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
60.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
6.0ms	(sin (/ (* z t) 3.0))
32.0ms	(cos (* 0.3333333333333333 (* t z)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
137.0ms	(* (* 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)))

simplify1.3s

Counts

72 → 72

Iterations

Useful iterations: done (1.3s)

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

prune557.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 14.3b

localize47.0ms

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)))

rewrite32.0ms

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:

4.0ms	(sin (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))
20.0ms	(cos (* 0.3333333333333333 (* t z)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sin (/ (* z t) 3.0))
17.0ms	(sin (/ (* z t) 3.0))
23.0ms	(sin (/ (* z t) 3.0))
12.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify3.8s

Counts

40 → 40

Iterations

Useful iterations: 2 (10.0ms)

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

prune402.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 14.2b

regimes3.4s

Accuracy

63.8% (1.4b remaining)

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

bsearch3.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	100
1	64	100
done	64	100

end0.0ms

sample7.5s

Algorithm

intervals

Results

2.3s	9092×	body	80	nan
1.6s	1554×	body	1280	valid
803.0ms	5595×	body	80	valid
615.0ms	947×	body	640	valid
512.0ms	392×	body	2560	valid
150.0ms	426×	body	320	valid
58.0ms	222×	body	160	valid